Answer:
300:15 = 100:5 = 20:1
Answer = 20:1
what is the total price including 7% tax of a $14.49 item
Answer:
$15.50
Step-by-step explanation:
You are planning a survey of starting salaries for recent computer science majors. In the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $60,038. 5 If you assume that the standard deviation is $4300, what sample size do you need to have a margin of error equal to $500 with 95% confidence
Answer:
A sample size of 285 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation is $4300
This means that [tex]\sigma = 4300[/tex]
What sample size do you need to have a margin of error equal to $500 with 95% confidence?
A sample size of n is needed. n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*4300[/tex]
[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]
[tex]n = 284.1[/tex]
Rounding up
A sample size of 285 is needed.
The formula for finding the area of a square that has a side length, s, is A = s2. If a square has an area of 40 square units,
what is the length of a side?
A. 2./10
B. 10.12
C. 20
Answer:
2./10
Step-by-step explanation:
It's simply by finding the square root of its area which is √40 giving 6.325 for an answer
If simplified by dividing each side with 3 then the answer would be 2./10
pls answer it i really need the answers : (
Answer:
Subscribe Single-3 FF on yt
Find the perimeter of the figure to the nearest hundredth.
Answer:
perimeter of trapezium =sum of all sides
perimeter of trapezium =10cm+6cm+12cm+8cm
perimeter of trapezium =36cm
perimeter of semicircle =pi×r
perimeter of semicircle =3.14×6cm
perimeter of semicircle =18.84cm
perimeter of the figure =36cm+18.84cm=54.84cm
9. Complete the following equation using <,>, or =
100% _1
O A. >
O B. <
O C. =
Answer:
C. =
Step-by-step explanation:
Two ways to think about this problem:
1st way: 100% and 1 are all a whole, therefore, they are equal.
2nd way: 1=1/1. Multiply the denominator and the numerator by 100, 1/1=100/100=100%
Sebastian mixed 2 cups of red paint with 7 cups of blue paint to make his favorite shade of purple. Which ratio of red to blue paint will make the same shade of purple?
Answer:
10:35 is the ratio
Step-by-step explanation:
2 x 5 = 10
7 x 5 = 35
Find the area of the regular octagon with radius of 14
feet.
Answer:
uhm- ok ok ok level hard o my gosh
solve the equation. -4/9 f= -3
Answer:
27/4
Step-by-step explanation:
Multiply both sides by 9/(-4).
9/−4 * −4/9 f = 9/−4 * −3
f = 27/4
pls help i give you brainliest
Solve for x. Show your work:
2x+17+3x = 4x+3x+3
Answer:
The answer is 7
Step-by-step explanation:
2x+17+3x=4x+3x+3
5x+17=7x+3
5x-7x=3-17
-2x=-14
x=7
What is the value of the expression: x2 + y2 + x - y
when x = -1 and y = 3
Question 1 options:
6
8
12
16
Answer: 6
Step-by-step explanation:
x^2+y^2+x-y
Put x=-1 and y=1
(-1)^2+(3)^2+(-1)-(3)
1+9-1-3
10-4
6
r − 38 = 9
please solve the equation
Answer:
r = 47
Step-by-step explanation:
r - 38 = 9
r- 38 + 38 = 9 + 38
simplify
r = 47
Answer:
[tex]r=47[/tex]
Step-by-step explanation:
[tex]r-38=9[/tex]
Add 38 to both sides of the equation:
[tex]r-38+38=9+38\\r=47[/tex]
r = 47 is your final answer.
help me please!! i’m confused!!
giving brainliest !!!!!!
Answer:
216
Step-by-step explanation:
6*6*6= 216
btw i am not using the formula for volume. 6*6 because you need the area of one side. then multiply that by 6 because there are 6 sides of a cube so 6*6*6=216
can someone help me out with these equations?
1. (5+ √3)^2
2. (√6-5√3)^2
3. (6+3√2)^2
9514 1404 393
Answer:
28 +10√381 -30√254 +36√2Step-by-step explanation:
It is useful to remember the form for the square of a binomial.
(a +b)² = a² +2ab +b²
(a -b)² = a² -2ab +b²
__
1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3
= 28 +10√3
__
2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75
= 81 -30√2
__
3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18
= 54 +36√2
When creating equations for our word problems, we must remember to...
A. write all equations in slope-intercept form.
B. make sure all equations are in the same form.
C. define all variables.
9514 1404 393
Answer:
C. define all variables
Step-by-step explanation:
Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.
One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 429 watts with a standard deviation of 10 watts. What is the probability that the mean amplifier output would be greater than 432.1 watts in a sample of 76 amplifiers if the claim is true
Answer:
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean output of 429 watts with a standard deviation of 10 watts.
This means that [tex]\mu = 429, \sigma = 10[/tex]
Sample of 76:
This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]
What is the probability that the mean amplifier output would be greater than 432.1 watts?
This is 1 subtracted by the pvalue of Z when X = 432.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{432.1 - 429}{1.147}[/tex]
[tex]Z = 2.7[/tex]
[tex]Z = 2.7[/tex] has a pvalue of 0.9965
1 - 0.9965 = 0.0035
0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.
(-10) + 3 = 10 - 3 is true or false???
(-10) + 3 = -(10 - 3) = -7
10 - 3 = 7
-7 ≠ 7
FALSE
What's the exact value of tan 15°?
O A) 2 + √3
B) 1
OC2
C) 2 - V3
OD) 1 + v3
Please Help!!!!
Answer:
C
Step-by-step explanation:
Split
15
into two angles where the values of the six trigonometric functions are known.
The result can be shown in multiple forms.
Exact Form:
2−√3
The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
What is mean by Function?
A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find the exact value of tan 15°.
Now, We can formulate;
tan 15° = tan (45 - 30)°
= tan 45° - tan30° / (1 + tan45° tan30°)
= (1 - √3) / (1 + √3)
= (1 - √3) (1 - √3) / (1 + √3) (1 - √3)
= (1 + 3 - 2√3) / (1² - √3²)
= (4 - 2√3) / (1 - 3)
= 2 (2 - √3) / - 2
= - (2 - √3)
Thus, The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
Learn more about the function visit:
https://brainly.com/question/11624077
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The graph of a line has a slope of 2 and passes through the point (–6, –5). What is the equation of the line in point-slope form?
y – 5 = 2(x – 6)
y + 5 = 2(x + 6)
y – 6 = 2(x – 5)
y + 6 = 2(x + 5)
Answer:
it would be
B. y + 5 = 2(x + 6)
if there is a negative number and you are subtracting it turns positive
Step-by-step explanation:
Obtain the truth value of
(i)
If 5 + 6 = 11, then 11 – 6 = 5.
(ii)
If 5 + 8 = 12, then 12 + 8 = 20.
(iii)
If 6 + 9 = 14, then 14 – 7 = 8
(iv)
If 7 + 8 = 15, then 8 – 7 = 2
Pls help! This test determines if I take math 1 or 2 for 8th grade!!
Answer:
My best guess is D she can make 4 dozen cokies
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
it is B because for number A 1+1 =2 2>1.75. B= 1.5<175, c= 0.5 <1, d. 2>1.75
Solve for the area of the smaller
shape.
Round to the nearest TENTH.
5th grade math. correct answer will be marked brainliest
Answer: First 12/8, then 3/2
Step-by-step explanation: 3/2.
If you want the mixed fraction, it would be 1 1/2.
4 times 3 is 12... 12/8
1 whole box (8/8)
So 12/8-8/8=4/8 left
1 whole and 1/2
The mean midday temperature recorded in June in a city in South California is 36ºC, and the standard deviation is 3ºC. The number of days in the month of June is 30.
Assuming the data is normally distributed, the number of days in June when the midday temperature was between 39ºC and 42ºC is .
Answer:
About 4 days
Step-by-step explanation:
Convert 39 and 42 degrees C to a z score and then use the z-table
The number of days in June when the midday temperature was between 39°C and 42°C is equal to 4.0 days.
Given the following data:
Mean midday temperature = 36°C.
Standard deviation = 3°C.
How to determine the number of days in June?In order to determine the number of days in June when the midday temperature was between 39°C and 42°C, we would determine the z-score as follows:
Let the midday temperature be M.
P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]
Evaluating, we have:
P(M < 39) = P(Z < [39 -36/3])
P(M < 39) = P(Z < [3/3])
P(M < 39) = P(Z < 1).
P(M < 39) = 0.84134.
P(M < 42) = P(Z < [42 -36/3])
P(M < 42) = P(Z < [6/3])
P(M < 42) = P(Z < 2)
P(M < 42) = 0.02275.
Substituting the parameters into the formula, we have;
P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]
P(39 < M < 42) = 1 - [0.84134 + 0.02275]
P(39 < M < 42) = 1 - 0.86409
P(39 < M < 42) = 0.13591.
Now, we can determine the number of days in June when the midday temperature was between 39°C and 42°C:
No. of days = 0.13591 × 30
No. of days = 4.0 days.
Note: There are 30 days in the month of June.
Read more on z-scores here: https://brainly.com/question/4302527
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HELP NEED ANSWER ASAP!
Answer:
I am pretty sure the anwser is 7
Answer:
The median is 7.
Step-by-step explanation:
The median is 7 because, in a box plot, the line inside of the box is the median. That line is over 7 on the number line.
A dictionary contains the following 8 words: to, many, joyous, birthday, wishes, happy, you, cake. What is the probability
of randomly generating the phrase happy birthday to you?
Answer:
not completely accurate but about 40%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
since there are 8 words, do 8x5 which would be 40%
hope this helps!
please give me brainliest :)
Select the correct answer from each drop-down menu.
Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the
third day, $8 on the fourth day, and continues this pattern the rest of the week.
If the bike costs $150, Carla will (have or not have)
enough money to buy the bike before the start of summer.
Carla will have ($15, $25 $23,$27,$5,$0)
Answer:
she will not have enough money
she will have 23 more to save
Step-by-step explanation:
got it right on plato
Answer:
If the bike costs $150, Carla will
not have
enough money to buy the bike before the start of summer.
Carla will have
$23
more to save
.
Step-by-step explanation:
f(x) = x - 4 + 1
Describe the transformation
Answer:
here i gotchu mate:)
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted down
3
units