Answer:
value of x is 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample information. Cups of Coffee Frequency 0 700 1 900 2 600 3 300 2,500 Refer to Exhibit 5-7. The variance of the number of cups of coffee is _____.
Answer: V(X) = 0.96
Step-by-step explanation: Variance is defined as the average of the squared difference from the sample or population mean.
For a discrete frequency distribution is calculated following the steps:
1) Determine expected value or mean:
[tex]E(X)=\frac{\Sigma xf}{\Sigma f}[/tex]
[tex]E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}[/tex]
E(X) = 1.2
2) Multiply frequency and the squared difference of x and expected value:
[tex]f(x-E(X))^{2}[/tex]
[tex]700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972[/tex]
3) Add them:
[tex]\Sigma [f(x-E(X))^{2}][/tex] = 1008 + 36 + 384 + 972 = 2400
4) Divide the sum per frequency total:
[tex]V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}[/tex]
[tex]V(X)=\frac{2400}{2500}[/tex]
V(X) = 0.96
The variance of the number of cups of coffee is 0.96.
Write a cubic function whose graph is shown
Answer:
f(x) = x³ - 2x² - x + 2
Step-by-step explanation:
Since, the graph attached has three zeros (x-intercepts) at x = -1, 1 and 2,
Equation of the given function will be,
f(x) = (x + 1)(x - 1)(x - 2)
By solving this equation,
f(x) = (x² - 1)(x - 2)
= x²(x - 2) - 1(x - 2)
= x³ - 2x² - x + 2
Therefore, answer will be f(x) = x³ - 2x² - x + 2.
According to the given graph,
Three zeros,
x = -1, 1, and 2The function will be:
→ [tex]f(x) = (x+1)(x-1)(x-2)[/tex]
By solving this, we get
[tex]= (x^2-1)(x-2)[/tex]
[tex]= x^2(x-2)-1(x-2)[/tex]
[tex]= x^3-2x^2-x+2[/tex]
Thus the function above is right.
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For every 24 cookies, there are 12 students. Which ratio does not represent cookies to students?
Answer: 12:24
Step-by-step explanation:
You can’t have 12 students to each cookie
Answer:
D: 2 students for every cookie
Step-by-step explanation:
D does not represent the ratio of cookies to students because it claims there are 2 students to every cookie, where there are 2 cookies for every student.
Simplify 18 - 6x + 5x - 11
Answer:
7-x
Step-by-step explanation:
18-11=7
-6x+5x=-x
therefore, the answer is 7-x
The solution of the expression is,
⇒ - x + 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 18 - 6x + 5x - 11
Now, We can solve the expression as;
⇒ 18 - 6x + 5x - 11
Rearrange as;
⇒ - 6x + 5x + 18 - 11
Combine like term as;
⇒ - x + 7
Thus, The solution of the expression is,
⇒ - x + 7
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(3a4)2(-2ab2)3 can ypu please simpilfy this for me.
Answer:
-288a(squared)b
Step-by-step explanation:
Just plug it into a calculator :)
Fill in the blanks by standardizing the normally distributed variable.
Dave drives to work each morning at about the same time. His commute time is normally
distributed with a mean of 40 minutes and a standard deviation of 5 minutes. The percentage of
time that his commute time is less than 44 minutes is equal to the area under the standard normal
curve that lies to the __of_
left, -0.8
Oright, 0.8
Oright, 1
left, 0.8
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Answer:you know how to get it look it up :D
Step-by-step explanation:
Give me big brain plz
(17-6 ➗ 2)+4 x 3
help a homie:(
Find the area........................
Answer:
42
Step-by-step explanation:
1/2(4 x 5) + (8 x 4) = 42
9x+2 (x-2) = 2 (3-x)
Alternate Forms:
13 x = 10
13 x - 10 = 0
11 x - 4 = -2 (x - 3)
Expandend Form:
11 x - 4 = 6 - 2 x
Solution:
x = 10/13
Answer:
I think the answer is -2x squared +19x-12. I hope that this helps:)
Step-by-step explanation:
find the lowest common multiple (LCM) of 15 and 30.
A) 5
B) 15
C)30
D)60
Answer:
L.C.M of 15 and 30 is 30.
Element X is a radioactive isotope such that every 40 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 110 grams, how much of the element would remain after 29 years, to the nearest whole number?
Answer:67 or 66.549674907
Step-by-step explanation:
Man women baby
Which container holds more, a half-gallon milk jug or a 2-liter juice bottle
Answer:
1 gallon=3.79 liters 2 liter juice bottle would hold more
Step-by-step explanation:
The perimeter of a rectangular painting is 302 cm. If the width of the painting is 67 cm, what is its length?
Answer:
84cm
Step-by-step explanation:
l = 302-(67*2)/2
l = (302cm - 134)/2
l = 168/2
l = 84cm
A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Answer parts a and b.
a. To what percent of its capacity is the large container filed?
The container is filled to % of the maximum capacity.
Answer:
The container is filled to 87.5% of the maximum capacity.
Step-by-step explanation:
Given
Maximum capacity of container = m = 64 ounces
Filled capacity=> as it is 8 less than maximum capacity = 64-8 = 56 ounces
The container is 56 ounces full.
To find the percentage:
[tex]percentage = \frac{56}{64}*100\\= 0.875*100\\=87.5\%[/tex]
Hence,
The container is filled to 87.5% of the maximum capacity.
If a wagon is accelerating at a rate of 2 m/s and the
force acting on it is 20 N, what is the mass of the
wagon?
Answer:
40kg
Explanation:
a=2m/s^
f=20N
M=?
we know
f=m*a
or, 20=m*2
or, 2m=20
or, m= 20/2
:. m=10 kg
In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.
Answer:
37.5% that is the answer
Step-by-step explanation:
The required common difference is 4.
What is an arithmatic progression?An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.
Now it is given that,
the seventh term, T₇ = −9 and
the nineteenth term, T₉ = 39.
Let a be the first term, d is the common difference and n is the number of term.
Since Tn of the series is given as,
Tn = a + (n-1)d
Therefore,
T₇ = a + (7-1)d
⇒ -9 = a + 6d ...(i)
and,
T₉ = a + (19-1)d
⇒ 39 = a + 18d ...(ii)
Subtracting equation (ii) by (i) we get,
48 = 12d
or, d = 48/12
⇒ d = 4
Thus, the required common difference is 4.
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Could someone answer this I am a bit confused I will give a brainlist for the right answer I promise :)
Answer:
NP=14
BC=44
Step-by-step explanation:
[tex]60-24-22=14\\NP=14\\MN=BP=PC\\BC=2(MN)\\BC=44[/tex]
-15 = z/-2. what does z = ?
Answer:
I think it's 30 but I'm not 100% sure
PLEASE HELP WILL GIVE BRAINLIEST
Does the following table represent a linear function? If so, find the linear equation that models the data.
Pls hurry I’m being timed I’m also giving out brainiest if your right
Answer:
B, C
Step-by-step explanation:
B - cirrus
C - cumulus
I could be wrong, but I believe this is correct.
Answer:
cumulus clouds
altoStratus clouds or cirrus?
Step-by-step explanation:
Please helpp I’ll give brainleist
Answer:
87 for lo and om is 56
Step-by-step explanation:
Answer:
<LON= 98 Degrees
Step-by-step explanation:
180-55(2)=70
70+28=98
What is the difference between ploting (2, 3) and (3, 2)
on a coordinate plane? Explain.
Suppose you have two six-sided dice where each side is equally likely to land face up when rolled. What is the probability that you will roll doubles?
Answer:
1/3 of chance
The probability that you will roll doubles will be 1/36.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that you have two six-sided dice where each side is equally likely to land face up when rolled.
The favourable outcomes are {2,2} = 1.
Total outcomes = 36
The probability will be calculated as,
Probability = 1 / 36
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Does the graph show a proportional relationship between x and y? Choose the correct answer below
Answer:
A (no because the graph is not a straight line)
Step-by-step explanation:
The rate of change is not consistent, and therefor is not proportional.
Answer:
(D) No, because the graph does not pass through the origin.
Step-by-step explanation:
because its the correct answer (im smart)
Mrs. Savino runs 3 miles in 28 minutes. At this rate, how many minutes would it take her to run 15 miles? * Need it ASAP
Answer:
she would take 140 minutes to run 15 miles
Step-by-step explanation:
28 X 5 os equal to 140
Answer:
139.95
Step-by-step explanation:
28 divided by 3 is 9.33 so 9.33x 15=139.95
Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry. There are 30 yogurt cups in the case. How many yogurt cups are strawberry?
Answer:
18
Step-by-step explanation:
The ratio of strawberry yogurt cups to all of the yogurt is 6:10. We know that there are 30 total yogurt cups, which is the same as 3 times 10. to find the number of strawberry cups, 6 should be multiplied by 3 as well to equal 18. 18:30 is still the same ratio as 6:10
Solve this equation 5x -7 = -12
Answer:
The answer is x = -1
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
5x-7=-12
5x=-5
x=-1
easy question if your having big problem
Answer:
whats the problem
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
please help UwU
if correct you get Brainiest
Answer: C
Step-by-step explanation:
4(2x-15)+7(3x+2)=70?
Answer:
the answer is [tex]x=4[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
hope this helps :)