9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]
Step-by-step explanation:
We observe that the left line segment has a rise of 3 for each run of 1. Its slope is ...
m = rise/run = 3/1 = 3
It goes through point (-2, 4), so its equation can be written ...
y = m(x -h) +k . . . . line with slope m through (h, k)
y = 3(x +2) +4 . . . . fill in known values
y = 3x +10 . . . . . . . simplify — equation of left line
__
The right segment has a rise of 2 for each run of 1. Its slope is ...
m = 2/1 = 2
Then the equation of the line through point (4, 1) is ...
y = 2(x -4) +1
y = 2x -7
__
Taking into account solid and open circles, the equation for the function is ...
[tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]
find the volume of a cylinder with radius 3cm and height 7cm
Answer:
197.92
Step-by-step explanation:
3.14*3*2*7=197.92
Answer:
197.92 cu cm to the nearest hundredth
Step-by-step explanation:
Volume = area of the base time the height.
Your base is a circle, so A = [tex]\pi r^{2}[/tex] = [tex]\pi 3^{2}[/tex] = 9π
Vol = 9π(7) = 63π ≅ 197.92 cu cm to the nearest hundredth
plz help look at the image for the question
un juego de 4 dados tiene una valor de 1500 pesos ¿cual es el valor de cada dado si todos cuestan lo mismo
Answer: 375
Step-by-step explanation: 1500 % 4 = 375
PD: que caros dados!
Tom has a collection of 13 snakes, 4 of which are purple and 5 of which are happy. He observes that
all of his happy snakes can add,
none of his purple snakes can subtract, and
all of his snakes that can't subtract also can't add.
Which of these conclusions can be drawn about Tom's snakes?
A)Purple snakes can add.
B) Purple snakes are happy.
C) Snakes that can add are purple.
D) Happy snakes are not purple.
E) Happy snakes can't subtract.
9514 1404 393
Answer:
D) Happy snakes are not purple
Step-by-step explanation:
The first statement tells us all happy snakes can add.
The second statement tells us that all purple snakes can't subtract, and the third statement tells us that purple snakes also cannot add.
Therefore, we must conclude that happy snakes are not purple.
An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations for which the individual was cited during the last 3 years. The probability mass function of X is given below as; Number of moving violations (X) 0 1 2 3 4 P(X) 0.17 0.23 0.27 0.24 0.09 What is the cumulative distribution function
Answer:
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Step-by-step explanation:
Given that;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;
so
x F(x)
0 P(X = 0) = 0.17
1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4
2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65
3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91
4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1
Therefore, cumulative distribution function f(x) is;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Explain your answer
Thank you so much !
Will give brainlst
Answer:
Good luck with that
Step-by-step explanation:
We r to lazy to do it
Answer:
C
Step-by-step explanation:
Granite is mined worldwide but the most exotic colours are obtained from granite deposits in Brazil, India, China, Finland, South Africa and North America. Granite mining is a capital and labour intensive process. Chunks of granite are extracted from deposits by cutting or blasting procedures.
4x + 6°
6x - 100
7x + 14°
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Answer:
x = 10°; angles are 50°, 46°, 84° (CW from left)
Step-by-step explanation:
The sum of the three angles is 180°, so ...
(6x +10°) +(4x +6°) +(7x +14°) = 180°
17x +10° = 180°
17x = 170°
x = 10°
__
Then the angles are ...
6x -10° = 6·10° -10° = 50°
4x +6° - 4·10° +6° = 46°
7x +14° = 7·10° +14° = 84°
Brad paid $7.00 for books and $0.99
for pencils. How much did he spend?
A $10.60
B $1.06
$79.90
$7.99
Answer:
7.99 or D
Step-by-step explanation:
It is simple addition.
Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.
The scale factor from Drawing 1 to Drawing 2 is _________%
Answer:
40%
Step-by-step explanation:
Answer:
45%???????????
Step-by-step explanation:
which shows the product of 23 and 39
Answer:
897
Step-by-step explanation:
"Product" in math refers to multiplication, so you would just multiply the two to get 897.
Answer:
897
Step-by-step explanation
multilpy
help i will give brainlist
Answer:
its #2 (on the top right)
Step-by-step explanation:
7. A car dealership has 8 red, 9 silver, and 5 black cars on the lot. Seven cars are randomly chosen to be displayed(in no particular order) in front of the dealership. Find the probability that (a) all are silver (b) 5 are red and 2 are black (c) 4 are red and the rest are silver
Answer:
a) 0.0002 = 0.02% probability that all are silver.
b) 0.0033 = 0.33% probability that 5 are red and 2 are black
c) 0.0345 = 3.45% probability that 4 are red and the rest are silver
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the cars were selected is not important, so we use the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) all are silver
Desired outcomes:
7 silver cars, from a set of 9. So
[tex]D = C_{9,7} = \frac{9!}{7!(9-7)!} = 36[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{36}{170544} = 0.0002[/tex]
0.0002 = 0.02% probability that all are silver.
(b) 5 are red and 2 are black
Desired outcomes:
5 red, from a set of 8
2 black, from a set of 5
[tex]D = C_{8,5}*C_{5,2} = \frac{8!}{5!(8-5)!}*\frac{5!}{2!(5-2)!} = 56*10 = 560[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{560}{170544} = 0.0033[/tex]
0.0033 = 0.33% probability that 5 are red and 2 are black
c) 4 are red and the rest are silver
Desired outcomes:
4 red, from a set of 8
3 silver, from a set of 9
[tex]D = C_{8,4}*C_{9,3} = \frac{8!}{4!(8-4)!}*\frac{9!}{3!(9-3)!} = 70*84 = 5880[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{5880}{170544} = 0.0345[/tex]
0.0345 = 3.45% probability that 4 are red and the rest are silver
A cone has a radius of 24 cm and a volume of 1920 cm3. What is the volume of a similar cone with a radius of 18 cm?
Answer:
just divide 18 by 1920 duh
Step-by-step explanation:
How much of a pizza does each person get if you divide half a pizza among three people?
On a large college campus, the students are able to get free copies of the school newspaper,the local newspaper, and a national paper. Ninety percent of the students read at least one of thepapers, 40% read only the school newspaper, 20% read only the local paper, 5% read only thenational paper, and 2% read all three papers. Fifty percent read the school newspaper, and 5%read the school and national newspapers. A randomly selected student is asked whether he orshe reads the school, local, or national paper. Express each of the following events in setnotation and find the percentage of students represented by each.a The student does not read any paper.b. The student reads the local paper.c. The student reads exactly two papers.d. The student reads at least two papers.
Answer:
a) The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper is 40%
c) the percentage that the student reads exactly two papers is 23%
d) the percentage that the student reads at least two papers is 25%
Step-by-step explanation:
Given the data in the question;
as illustrated in the Venn diagram below,
a)The student does not read any paper;
The percentage that the student does not read any paper will be;
100% - 90% = 10%
Therefore, The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper;
from the Venn diagram below;
⇒ ( 20 + 15 + 3 + 2 )%
= 40%
Therefore, The percentage that the student reads the local paper is 40%
c) The percentage that the student reads exactly two papers
⇒ ( 15 + 5 + 3 )%
= 23%
Therefore, the percentage that the student reads exactly two papers is 23%
d) The percentage that the student reads at least two papers;
⇒( 15 + 5 + 3 + 2 )%
= 25%
Therefore, the percentage that the student reads at least two papers is 25%
Which expression is equivalent to 6(3c-4)-2(5c-1)
Answer:
Step-by-step explanation:
8c−22
Answer:
8c−22
Step-by-step explanation:
A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 272 students is xbar= 141 minutes, with a sample standard deviation of 66.
Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.
What is the standard error of the sample mean?
Consider the hypotheses H0: µ = 150 against Ha: µ < 150.
What is the value of the test statistic? Give your answer to two decimal places.
The p-value for the correct test statistic is 0.0126. What do you conclude at the a = 0.05 level?
We do not have enough evidence to say that students are not studying 2.5 hours per night during the school week.
We have strong evidence that, on average, students study less than 2.5 hours per night during the school week.
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
guys u realy need help on this pls
Answer:
x>9
Step-by-step explanation:
[tex]7-\frac{2}{3} x[/tex]<x-8
21-2x<3x-24
5x>45
x>9
I really need help what is 854÷7 I will make you a brainlist
Answer:
854÷7=122
Step-by-step explanation:
DIVISION
122
Answer:
The Answer is 122
Step-by-step explanation:
854/7
854-854 equalling 0 and have a value of 122 of how much was divide by using 7
(7 x 122 equal that of 854)
Santa and Mrs Claus are eating cookies santa ate 10/20 of the cookies and Mrs Claus ate the rest what fraction did Mrs Claus eat ?
Answer: 10/20 or 1/2
Step-by-step explanation:
10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half
Santa ate 10/20. right?
so you would subtract 10 from 20
which would give you 10
so Mrs. Claus also ate 10/20
-----
Another way to solve:
since 10/20 = 50%
Mrs. Claus ate the same amount
because 50% is half of 100% ( 1 whole )
So, Mrs. Claus ate 10/20
can someone give me a hand
Answer:
Where's the table
Step-by-step explanation:
16^5/4 times 16^1/4/(16^1/2)^2
Answer:
4
Step-by-step explanation:
its four trust me
Answer:
4
Step-by-step explanation:
:)
A company rents out 19 food booths and 26 game booths at the county fair. The fee for a food booth is
$175 plus $5 per day. The fee fora game booth is $50 plus $6 per day. The fair lasts ford days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the
company is paid.
The expression is
need help asap
Answer:$4669
Step-by-step explanation:
175x19=3325+5(4)=3345
1300+6(4)=1324
1) You have some books. You need to ship the books to your friend. The books are 8 inches height, 5 inches
width, and 2 inches depth. How many of these books could you pack into your closet which is 20 inches long, 25
inches wide and 30 inches high?
Answer:
187 Books
Step-by-step explanation:
First you need to figure out the area of the closet. To do this you need to do 20 x 25 x 30 which equals 15,000. Then you should figure out the area of the books. To do this you would do 8 x 5 x 2 which equals 80. Then do 15,000 divided by 80 and you get 187.5 but you cant fit half a book in so then you round down and you get 187.
Jason wants to earn money by raking leaves. He buys a rake that costs $20.00. He plans to charge $6.00 for each
lawn that he rakes. (A-CED.2)
A. Write an equation to represent P, the amount of Jason's profit, if the number of lawns he rakes is r.
B. Use your equation to calculate the amount of profit Jason will make if he rakes 15 lawns.
Helppppppppp meeeeeeee!
Answer:
The equation would be 6r-20... If he raked 15 lawns, his profit would be $70
Step-by-step explanation:
For B. plugin 15 where r is... then multiply that by 6... which will get us 90. Then subtract the $20 rake fee and we get a profit of 70 dollars. Hope this helps!
Quinn works at the Sugar Cup Café. This morning, she made the day's first batch of hazelnut coffee by mixing together 6 ounces of hazelnut syrup and 75 ounces of unflavored coffee. When it ran out in the afternoon, she made a second batch by mixing together 2 ounces of hazelnut syrup and 25 ounces of unflavored coffee. Which batch of coffee had a stronger hazelnut flavor?
Answer:
neither
Step-by-step explanation:
Convert these mixed numbers into improper fraction
1 1/3
Simplify The expression
-5/8 (-3/8 - 1/4)
Answer:
25/64
Step-by-step explanation:
do what's inside parentheses first
-3/8 - 2/8 = -5/8
-5/8(-5/8) = 25/64
a bag contains 8 blue chips, 7green chips and 2 white chips. if two chips are drawn without replacement, what is the probability of drawing a blue chip and a green chip
b=8, g=7, w=2, total=17
(8/17)(7/16)=56/272=7/34
Answer:
7/34
Step-by-step explanation:
for which set of problilities would events a and b be independent
Answer:
Events A and B are independent if and only if P(A and B) = P(A)P(B). If you know these probabilities, you can check to see if this holds.
Step-by-step explanation:
:)