t(x)=-5x+3
t(-1)=-5*(-1)+3=5+3=8
s(x)=3x-4
s(t(-1))=s(8)=3*8-4=24-4=20
answer is 20
2x^3-3x^2-11x+6 divide by x-3
Answer: [tex]2x^2+3x-2[/tex]
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do [tex]\frac{2x^3}{x}=2x^2[/tex]. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.
[tex]2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6[/tex]
Now do [tex]\frac{3x^2}{x} =3x[/tex]. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:
[tex]3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6[/tex]
Your final step is to do [tex]\frac{-2x}{x} =-2[/tex]. Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:
[tex]-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0[/tex]
Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
[tex]2x^2+3x-2[/tex] times
Answer:
2x² + 3x -2
Step-by-step explanation:
2x³ - 3x² - 11x + 6 : (x - 3)
2x³ - 6x² from (x - 3) * 2x²
-------------------------- —
3x² - 11x + 6
3x² - 9x from (x - 3) * 3x
-------------------------- —
- 2x + 6
- 2x + 6 from (x - 3) * (-2)
-------------------------- —
0
so 2x³ - 3x² - 11x + 6 : (x - 3) = 2x² + 3x -2
HELP! Let f(x) = x + 1 and g(x)=1/x The graph of (fg)(x) is shown below.
Answer:
Step-by-step explanation:
all numbers except y = 1
because (f*g)(x) = 1+1/x
and 1/x cannot be equal to 0
2 Points
These dot plots show the lengths (in feet) from a sample of crocodiles and
alligators
Crocodi
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Alligator
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Length
What are the differences between the centers and spreads of these
distributions?
Select two choices: one for the centers and one for the spreads
D A Centers: The crocodiles have a lower median length than the
alligators
B. Centers: The crocodiles have a greater median length than the
alligators
c. Spreads: The lengths of the alligators are more spread out
D. Spreads. The lengths of the crocodiles are more spread out
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Answer:
(B) Centers: The crocodiles have a greater median length than the alligators
(C) Spreads: The lengths of the alligators are more spread out
Step-by-step explanation:
The question is incomplete without the diagram. Find attached the diagram used in solving the question
Centers: this is the median of the distribution
Spread: this is the variation of the data distribution. The range can be used to find the spread. If the range is large, the spread is larger and If the range is small, the spread is smaller.
Range = highest value - lowest value
From the diagram:
Median of crocodile = 17
Median of the alligator = 9
Therefore, for Centers: The crocodiles have a greater median length than the alligators (option B)
Spread for crocodile data = from 15 to 19
Range = 19-15 = 4
Spread for alligator data = from 7 to 15
Range = 15-7 = 8
For Spreads: The lengths of the alligators are more spread out.
Answer: b and c
Step-by-step explanation:
Find the third-degree polynomial function that has zeros −2 and −15i, and a value of 1,170 when x=3.
Answer:
The third degree polynomial function = x³ + 27x² + 200x + 300
Step-by-step explanation:
The third-degree polynomial function has zeros −2 and −15.
From the above, we have been given two factors of the polynomial function. Let's derive the factors from the two zeros of the polynomial given.
The two given zeros of the polynomial can be written as:
x= -2
x+2 = 0
(x+2) is a factor of the polynomial
x= -15
x+15 = 0
(x+15) is a factor of the polynomial
So we have two factors of the polynomial (x+2) and (x+15). But since it is a third degree polynomial, we have to find the third factor.
Let (x-b) be the third factor and f(x) represent the third degree polynomial
f(x) = (x-b) (x+2) (x+15)
Expanding (x+2) (x+15) = x² + 2x + 15x + 30
(x+2) (x+15) = x² + 17x + 30
f(x) = (x-b) (x² + 17x + 30)
From the given information, a value of 1,170 is obtained when x=3
f(3) = 1170
Insert 3 for x in f(x)
f(3) = (3-b) (3² + 17(3) + 30)
1170 = (3-b) (9 + 51 + 30)
1170 = (3-b) (90)
1170/90 = 3-b
3-b = 13
b = 3-13 = -10
Insert value of b in f(x)
f(x) = [x-(-10)] (x² + 17x + 30)
f(x) = (x+10) (x² + 17x + 30)
f(x) = x³ + 17x² + 30x + 10x² + 170x + 200x + 300
f(x) = x³ + 27x² + 200x + 300
The third degree polynomial function = x³ + 27x² + 200x + 300
find the area of this figure to the nearest hundredth use 3.14 to approximate pi A=? ft squared
Answer:
[tex]105.13ft^2[/tex]
Step-by-step explanation:
Rectangle
[tex]A=lw\\=10*8\\=80ft^2\\[/tex]
Semicircle
[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2}* \pi *4^2\\=25.13ft^2[/tex]
Add both values together
[tex]80+25.13\\=105.13ft^2[/tex]
Answer: 105.13
Step-by-step explanation:
Solve the equation. 4c = 3
Answer:
Brainelist~~~!!!
Step-by-step explanation:
4c=3
c=3/4
c=0.75
The solution of the linear equation 4·c = 3, obtained by solving for the variable c is; c = 3/4
What is a linear equation?A linear equation is an equation that can be expressed in the form; y = m·x + c
The equation 4·c = 3 is a linear equation
In order to solve the equation 4·c = 3 for the variable c, the variable c needs to be isolated to one side of the equation, by dividing both sides of the equation by 4 as follows;
4·c = 3
(4·c)/4 = 3/4
c = 3/4
Therefore, the solution of the equation, 4·c = 3 is; c = 3/4
Learn more on linear equations here: https://brainly.com/question/30338252
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Find the x- and y-intercepts of the equation 7x + 14y = 28.
Answer: The x-intercept is 4 and the y-intercept is 2.
Step-by-step explanation:
The x is intercept is when y is 0 and the y intercept is when x is 0.So using this information you can put in 0 for x and another 0 for y and solve for the x and y intercepts.
7(0) + 14y = 28
0 + 14y = 28
14y = 28
y = 2
7x + 14(0) = 28
7x + 0 = 28
7x = 28
x = 4
The [tex]x[/tex]-intercept of the given equation is [tex]4[/tex] and the [tex]y[/tex]-intercept is [tex]2[/tex].
Given:
The equation is:
[tex]7x+14y=28[/tex]
To find:
The [tex]x[/tex]-intercept and [tex]y[/tex]-intercept of the given equation.
Explanation:
We have,
[tex]7x+14y=28[/tex] ...(i)
Substitute [tex]x=0[/tex] in (i) to find the [tex]y[/tex]-intercept.
[tex]7(0)+14y=28[/tex]
[tex]14y=28[/tex]
[tex]\dfrac{14y}{14}=\dfrac{28}{14}[/tex]
[tex]y=2[/tex]
Substitute [tex]y=0[/tex] in (i) to find the [tex]x[/tex]-intercept.
[tex]7x+14(0)=28[/tex]
[tex]7x=28[/tex]
[tex]\dfrac{7x}{7}=\dfrac{28}{7}[/tex]
[tex]x=4[/tex]
Therefore, the [tex]x[/tex]-intercept of the given equation is [tex]4[/tex] and the [tex]y[/tex]-intercept is [tex]2[/tex].
Learn more:
https://brainly.com/question/19669786
The highest rated of the four European cities under consideration: This can be done by multiplying factor and importance and summing for each city. A: 8050: Highest rating B: 6450 C: 7150 D: 7950
Answer:
The question is not complete, as the table containing the data is missing, but I found a matching table that can be used to answer the question.
The Question is:
Which is the highest rated, of the four European cities under consideration, using the table.
The correct answer is: City A is the highest rated European city.
Step-by-step explanation:
The highest rated European city can be found by multiplying the factor and the importance of the factors, and summing up their final values. the cty with the highest number is the one with the highest rated city. Having this in mind, let us calculate the ratings for each of the cities as follows:
City A:
(70 × 20) + (80 × 20) + (100 × 20) + (80 × 10) + (90 × 10) + (65 × 10) + (70 × 10) = 1400 + 1600 + 2000 + 800 + 900 + 650 + 700 = 8050
City B:
(70 × 20) + (60 × 20) + (50 × 20) + (90 × 10) + (60 × 10) + (75 × 10) + (60 × 10) = 1400 + 1200 + 1000 + 900 + 600 + 750 + 600 = 6450
City C:
(60 × 20) + (90 × 20) + (75 × 20) + (65 × 10) + (50 × 10) + (85 × 10) + (65 × 10) = 1200 + 1800 + 1500 + 650 + 500 + 850 + 650 = 7150
City D:
(90 × 20) + (75 × 20) + (90 × 20) + (65 × 10) + (70 × 10) + (70 × 10) + (80 × 10) = 1800 + 1500 + 1800 + 650 + 700 + 700 + 800 =7950
Therefore, from the ratings computed above, City A with a rating of 8050, is the highest rated, while City B with a rating of 6450, is the lowest rated.
Which of the following statements is the converse of the statement, "If each of two angles has a measure of 28 degrees, then the two angles are equal in measure"? 1.) If two angles have equal measures, then the measure of each is 28 degrees. 2.) If two angles do not have equal measures, then each of the two angles does not have a measure of 28 degrees. 3.) If each of two angles does not have a measure of 28 degrees, then the two angles do not have equal measures. 4.) If each of two angles does not have a measure of 28 degrees, then the two angles have equal measures.
Answer:
1.) If two angles have equal measures, then the measure of each is 28 degrees.
Step-by-step explanation:
The converse of a statement simply swaps the positions of the "if" and "then" clauses. Without any modification for clarity or readability, the converse would be ...
if two angles are equal in measure, then each of the two angles has a measure of 28 degrees.
Please select the word from the list that best fits the definition
a leader of a group of people
Answer:
a sultan
Step-by-step explanation:
i looked it up on quizlet after thinking it was sultan and i was right
anyways the answer is sultan and its correct
have a good day!
Answer
the answer is sultan
Step-by-step explanation:
Little Equipment for Hire is a subsidiary in the Giant Machinery and currently under the liquidation plan due to the severe contraction of operation due to corona virus. The company plans to pay total dividend of $2.5 million now and $ 7.5 million one year from now as a liquidating dividend. The required rate of return for shareholders is 12%. Calculate the current value of the firm’s equity in total and per share if the firm has 1.5 million shares outstanding. (4 marks)
Complete Question:
The Giant Machinery has the current capital structure of 65% equity and 35% debt. Its net income in the current year is $250 000. The company is planning to launch a project that will requires an investment of $175 000 next year. Currently the share of Giant machinery is $25/share. Required: a. How much dividend Giant Machinery can pay its shareholders this year and what is dividend payout ratio of the company. Assume the Residual Dividend Payout Policy applies? b. If the company is paying a dividend of $2.50/share and tomorrow the stock will go ex-dividend. Calculate the ex-dividend price tomorrow morning. Assuming the tax on dividend is 15%? c. Little Equipment for Hire is a subsidiary in the Giant Machinery and currently under the liquidation plan due to the severe contraction of operation due to corona virus. The company plans to pay total dividend of $2.5 million now and $ 7.5 million one year from now as a liquidating dividend. The required rate of return for shareholders is 12%. Calculate the current value of the firm’s equity in total and per share if the firm has 1.5 million shares outstanding?
Answer:
a) Total dividend for the current year = $136,250
Dividend Payout Ratio = 0.545
b) Ex-dividend price = $22.875
c) Total current value = $9,196,428.57
Current value per share = $6.13
Step-by-step explanation:
a) Equity = 65%
Debt = 35%
Net Income for year 0 = $250,000
proposed Investment for year 1= $175,000
Current price = $25/share
Tax on dividend = 15%
Total dividend for year 0 = 250000 - (65% of 175000)
Total dividend for year 0= 250000 - 113750
Total dividend for the current year = $136,250
Dividend Payout Ratio = total dividends/ total earning
Dividend Payout Ratio = 136250/250000
Dividend Payout Ratio = 0.545
b) Dividend = $2.5/ share
Ex-dividend price = current price - Dividend * (1-tax on dividend)
Substituting the appropriate values:
Ex-dividend price = 25 - 2.5 * (1-15%)
Ex-dividend price = 25 - 2.125
Ex-dividend price = $22.875
c) Current value of the firm = Dividend paid in year 0 + (Dividend to be paid in year 1/discount rate)
Dividend paid in year 0 = $2,500,000
Dividend to be paid in year 1 = $7,500,000
Discount rate = 12%
Total current value = 2,500,000 + (7,500,000 / 1.12)
Total current value = $9,196,428.57
Numbe of shares = 1,500,000
Current value per share = Total current value / number of shares
Current value per share = 9,196,428.57/1,500,000
Current value per share = $6.13
Dan buys a car for £2300. It depreciates at a rate of 0.2% per year. How much will it be worth in 6 years? Give your answer to the nearest penny where appropriate.
9514 1404 393
Answer:
£2272.54
Step-by-step explanation:
An equation for the value is ...
v = £2300(0.998^t)
Then for t=6, the value is ...
v = £2272.54
_____
Additional comment
The growth factor (0.998) is (1 - decay rate) = (1 -0.002).
Answer:
the answer is 2272.54
Step-by-step explanation:
:))
A researcher conducts two studies. Study 1 uses a one-way between-subjects ANOVA. and Study 2 uses a within-subjects ANOVA. If the number of groups and participants per group are the same in each study, then in which study was the total number of participants larger? Explain.
Answer:
One way between subjects ANOVA
Step-by-step explanation:
In the between groups ANOVA, different people tests each conditions corresponding to the variables in the study while for the within groups ANOVA, the same person tests for all conditions corresponding to the variables. This way the total number of participants will be larger in the between subjects ANOVA group.
ide length
Recall that in a 30° -60° - 90° triangle, if the shortest leg
measures x units, then the longer leg measures x/5 units
and the hypotenuse measures 2x units.
(150/3 – 757) ita
(300 - 757) ft
(150/3 - 257) ft
(300 - 257) ft?
Help out
Question Correction
A circle is inscribed in a regular hexagon with side length 10 feet. What is the area of the shaded region? Recall that in a 30–60–90 triangle, if the shortest leg measures x units, then the longer leg measures [tex]x\sqrt{3}[/tex] units and the hypotenuse measures 2x units.
[tex](150\sqrt{3}-75\pi) $ ft^2[/tex] (300 – 75π) [tex]ft^2[/tex][tex](150\sqrt{3}-25\pi) $ ft^2[/tex](300 – 25π) ft2Answer:
(A)[tex](150\sqrt{3}-75\pi) $ Square Units[/tex]
Step-by-step explanation:
Area of the Shaded region =Area of Hexagon-Area of the Circle
Area of Hexagon
Length of the shorter Leg = x ft
Side Length of the Hexagon =10 feet
Perimeter of the Hexagon = 10*6 =60 feet
Apothem of the Hexagon (Length of the longer leg)
= [tex]x\sqrt{3}[/tex] feet
[tex]=5\sqrt{3}$ feet[/tex]
[tex]\text{Area of a Regular hexagon}=\dfrac{1}{2} \times $Perimeter \times $Apothem[/tex]
[tex]=\dfrac{1}{2} \times 60 \times 5\sqrt{3}\\=150\sqrt{3}$ Square feet[/tex]
Area of Circle
The radius of the Circle = Apothem of the Hexagon [tex]=5\sqrt{3}$ feet[/tex]
Area of the Circle
[tex]=(5\sqrt{3})^2 \times \pi\\ =25 \times 3 \times \pi\\=75\pi $ Square feet[/tex]
Therefore:
Area of the Shaded region [tex]= (150\sqrt{3}-75\pi) $ Square feet[/tex]
Answer:
it’s A
Step-by-step explanation:
i took the test
A rectangle with an area of 25 square centimetres is rotated and reflected in the coordinate plane. What will be the area of the resulting image? Explain.
A study was conducted on the amount of time drivers wait for a stoplight to change at a particular intersection. The amount of time spent by 300 drivers was recorded and the resulting data were used to create boxplot.
a. What is approximately the median amount of time spent at this traffic light?
b. The top 25% of drivers waited at least how long?
c. The mean amount of time spent at this traffic light was bigger or smaller than the median? Explain.
Answer:
a) Median amount of time that is spent is around 2.3, rounded to 2.
b) 4 unit time
c) Mean amount of time is bigger than the median.
Step-by-step explanation:
Find the given attachment.
Note: Complete Question, along with the diagram is added
I was confused on how to go about this.
Find the area of the triangle.
A = 14 m^2
Step-by-step explanation:
The equation for the area of a triangle is...
[tex]A=\frac{1}{2}bh[/tex]
For this we need the base and the height. Looking at the picture, we can see that the height is 4. The base is split into 2 parts, so we just need to add the 3 and the 4 together, that will make our base 7. Now we can plug these into the equation, but I'm also just going to make the 1/2 a 0.5.
[tex]A=0.5*4*7[/tex]
[tex]A=[/tex]
14 m^2
I need help this question is kinda confusing
Answer:
Geometric Sequence.
Step-by-step explanation:
Geometric sequence. If you take a close look at the graph, it never touches the x - axis. If you use division in a geometric sequence, you will get a very small number, but you will never touch the axis.
Consider the following set of sample data.
18 26 30 42 50 52 52 76 78 84
For the given data, the mean is_______, the median is________, and the mode is_______.
Suppose the value 76 in the data is mistakenly recorded as 55 instead of 76. For the sample with this error, the mean is_________, the median is______, and the mode is_______. The mean_____, the median_______, and the mode______. Suppose the value 76 in the original sample is inadvertently removed from the sample. For the sample with this value removed, the mean is_______, the median is_______, and the mode is________. The mean_________, the median_______, and the mode________.
Answer:
For the given data, the mean is 50.8, the median is 51, and the mode is 52.
For the sample with this error, the mean is 48.7, the median is 51, and the mode is 52.
For the sample with this value removed, the mean is 43.2, the median is 50, and the mode is 52.
Step-by-step explanation:
We are given the following set of sample data below;
18, 26, 30, 42, 50, 52, 52, 76, 78, 84.
The formula for calculating mean is given by;
Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of observations}}[/tex]
= [tex]\frac{18+ 26+ 30+ 42+ 50+ 52+ 52+ 76+ 78+ 84}{10}[/tex]
= [tex]\frac{508}{10}[/tex] = 50.8
For calculating median, we have to observe that the number of observations (n) in our data is even or odd, i.e;
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2})^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}[/tex]
Now, here in our data the number of observations is even, i.e. n = 10.
So, Median = [tex]\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{10}{2})^{th}\text{ obs.} +(\frac{10}{2}+1)^{th}\text{ obs.} }{2}[/tex]
= [tex]\frac{5^{th}\text{ obs.} +6^{th}\text{ obs.} }{2}[/tex]
= [tex]\frac{50+52 }{2}[/tex] = 51
A Mode is a value that appears the maximum number of times in our data.
In our data, the value 52 is appera]ing maximum number of times, i.e. 2 times which means that mode of our data is 52.
Now, suppose the value 76 in the data is mistakenly recorded as 55 instead of 76. For the sample with this error,
Mean will be changed as value has been changed.New Mean = [tex]\frac{18+ 26+ 30+ 42+ 50+ 52+ 52+ 55+ 78+ 84}{10}[/tex]
= [tex]\frac{487}{10}[/tex] = 48.7
There will be no change in median because there is no change in the 5th and 6th observation of the data.Also, there will be no change in mode as stiil 52 appears maximum number of times in our data.Now, suppose the value 76 in the original sample is inadvertently removed from the sample. For the sample with this value removed,
Mean will be changed as value has been removed from data.New Mean = [tex]\frac{18+ 26+ 30+ 42+ 50+ 52+ 52+ 78+ 84}{9}[/tex]
= [tex]\frac{432}{10}[/tex] = 43.2
Median will also get changed because the number of observation is now odd, i.e. n = 9So, Median = [tex](\frac{n+1}{2})^{th} \text{ obs.}[/tex]
= [tex](\frac{9+1}{2})^{th} \text{ obs.}[/tex]
= [tex]5^{th} \text{ obs.}[/tex] = 50
Also, there will be no change in mode as stiil 52 appears maximum number of times in our data."The chance that a person selected at random has blue eyes is 16%. Two people are chosen at random (and are independent of each other). Find the probability at least one of them does not have blue eyes. Round your answer to 4 decimal places."
Answer:
[tex]P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256[/tex]
And replacing we got:
[tex] P(X \geq 1)=1 -P(X<1) = 1-P(X=0)=1-0.0256=0.9744[/tex]
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
[tex]X \sim Binom(n=2, p=1-0.16=0.84)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we can find this probability:
[tex] P(X \geq 1)[/tex]
And we can solve this probability like this:
[tex] P(X \geq 1)=1 -P(X<1) = 1-P(X=0)[/tex]
And if we use the probability mass function we got:
[tex]P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256[/tex]
And replacing we got:
[tex] P(X \geq 1)=1 -P(X<1) = 1-P(X=0)=1-0.0256=0.9744[/tex]
what is the common ratio of the geometric sequence below ?
-96,48,-24,12,-6...
Answer:
r = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The common ratio r is the ratio between consecutive terms in the sequence.
r = [tex]\frac{48}{-96}[/tex] = [tex]\frac{-24}{48}[/tex] = [tex]\frac{12}{-24}[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex]
Answer:
-1/2 or b on edge
Step-by-step explanation:
An individual who has automobile insurance from acertain company is randomly selected. Let Y be thenumber of moving violations for which the individualwas cited during the last 3 years. The pmf of Y is y p(y) 0 0.6 1 0.25 2 0.10 3 0.05 Suppose an individual with Y violations incurs a surcharge of $ 100 Y squared. Calculate the expected amount of the surcharge.
Answer:
[tex] E(100 Y^2) =100 E(Y^2)[/tex]
And we have that :
[tex] E(Y^2) =\sum_{i=1}^n X^2_i P(X_i)[/tex]
And replacing we got:
[tex] E(Y^2) =0^2 *0.6 + 1^2 *0.25 +2^2*0.10 +3^2 *0.05 = 1.1[/tex]
And finally we have:
[tex] E(100 Y^2) =100 *1.1 = 110[/tex]
Step-by-step explanation:
For this case we have the following probability masss function given:
Y 0 1 2 3
p(Y) 0.6 0.25 0.10 0.05
And we can define the surcharge with this expression [tex] 100Y^2[/tex]
We want to find the expected value for the last expression and we can do it on this way:
[tex] E(100 Y^2) =100 E(Y^2)[/tex]
And we have that :
[tex] E(Y^2) =\sum_{i=1}^n X^2_i P(X_i)[/tex]
And replacing we got:
[tex] E(Y^2) =0^2 *0.6 + 1^2 *0.25 +2^2*0.10 +3^2 *0.05 = 1.1[/tex]
And finally we have:
[tex] E(100 Y^2) =100 *1.1 = 110[/tex]
Plz help me ASAP it’s important
Answer:
14
Step-by-step explanation:
each square is 2 you count across then up or the other way is fine too from point A to B it equals to 14
Insurance Underwriters have established that the probability of city experiencing disasters in the next five years is 0.3 for a Tornado, 0.4 for Hurricane, and 0.1 for both Tornado and Hurricane. A) What is the probability of city experiencing only a Tornado in the next five years?B) What is the probability of city experiencing neither a Tornado nor Hurricane in the next five years?
Answer:
a. 20%
b. 40%
Step-by-step explanation:
We have the following from the statement:
P (T) = 0.3
P (H) = 0.4
P (T n H) = 0.1
Thus:
a. Tornado-only probability would be the probability of a tornado minus the probability of both tornado and hucaran
P (only T) = P (T) - P (T n H)
replacing:
P (only T) = 0.3 - 0.1
P (only T) = 0.2
In other words, the probability that only one tornado will occur is 20%
b. The probability that there is neither of the two would be the complement of the union between both events, that is:
P (T U H) '= 1 - P (T U H)
and the union is equal to:
P (T U H) = P (T) + P (H) - P (T n H)
replacing:
P (T U H) = 0.3 + 0.4 - 0.1
P (T U H) = 0.6
now if replacing in P (T U H) ':
P (T U H) '= 1 - 0.6
P (T U H) '= 0.4
That is to say that the probability that neither of the two happens is 40%
Solve for x
A) 10
B) 20
C) 30
D) 60
Help me I’m so pretty and funny I need help, worms infesting my brain.
Answer:
Option (2). x = 20°
Step-by-step explanation:
In the figure attached,
ΔABC is an equilateral triangle.
By the property of equilateral triangle, all sides of the triangle are equal and measure of all angles of the triangle is 60°.
By this property,
m∠B = 60°
and y = 46 - 16 = 30
By applying Sine rule in ΔBCD,
[tex]\frac{\text{sin}60}{BD}=\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{DC}[/tex]
[tex]\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{y}[/tex]
sin(∠CBD) = [tex]\frac{30\times \text{sin}80}{46}[/tex]
= 0.6423
m∠CBD = 39.96
≈ 40°
m∠ABD = 60° - 40°
= 20°
Therefore, Option (2). 20° will be the answer.
Please help :( : Solve the equation 3x + 5y = 15 for y
Answer:
y = -3/5 x +3
Step-by-step explanation:
3x + 5y = 15
Subtract 3x from each side
-3x+3x + 5y = -3x+15
5y = -3x+15
Divide each side by 5
5y/5 = -3x/5 +15/5
y = -3/5 x +3
Please answer this correctly
Answer:
Number of people
6
5
5
6
3
1
Step-by-step explanation:
All you had to do was the count how much numbers there were on the list.
Like there were 6 0s.
Answer:
Hope this helps
Step-by-step explanation:
6 people did 0 sit ups
5 people did 1 sit ups
5 People did 2 sit ups
6 people did 3 sit ups
3 people did 4 sit ups
1 person did 5 sit ups
Solve for a.
ab + c = d
Answer:
a=(d-c)/d
Step-by-step explanation:
ab+c=d
ab=d-c
a= (d-c)/b
The hypotenuse of a 45°-45°-90° triangle measures 128 cm. A right triangle is shown. The length of the hypotenuse is 128 centimeters and the lengths of the other 2 sides are congruent. What is the length of one leg of the triangle?
Answer:
For a 45 45 90 triangle
leg = hypotenuse / (square root of 2)
leg = 128 / 1.4142135624
leg = 90.5096679902 cm
Step-by-step explanation:
Answer:
answer is B 64 root 2
Step-by-step explanation:
got it right on edg 2020-2021
(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume the "worst case" scenario for the value of both sample proportions. We want a 99% confidence level and for the error to be smaller than 0.08.
(b) Again find the sample size required, as in part (a), but with the knowledge that a similar student last year found that the proportion of boys afraid of spiders is 0.7 and the proportion of girls afraid of spiders was 0.69.
Answer:
a) The size of each of the two samples(equal), n = 518
b) Sample size, n = 439
Step-by-step explanation:
For clarity and easiness of expression, the complete solution to this question is handwritten and attached as files. Check the attached files below for the explanations.