Answer:
Thus the function g is the function f stretched vertically by a factor 5.
Step-by-step explanation:
Multiplication of a function by a constant:
When a function is multiplied by a constant a > 1, the function is stretched vertically by a factor of 5.
In this question:
f(x) = x^2
g(x) = 5x^2
Thus the function g is the function f stretched vertically by a factor 5.
Fifty percent of the customers who go to Sears Auto Center for tires buy four tires and 30% buy two tires. Moreover, 18% buy fewer than two tires, with 5% buying none.
a. What is the probability that a customer buys three tires?
b. Construct a cumulative probability distribution for the number of tires bought.
Answer:
A. Probability = 0.02
B. This is in a cumulative frequency table in the attachment I added
Step-by-step explanation:
A. We have these following probabilities
Prob(X=0) = 0.05
Prob(x= 2) = 0.30
Prob(X = 4) = 0.50
Prob(X < 2) = Prob(X=0) + prob(X=1)
0.18 = 0.05 + prob(X=1)
prob(X=1) = 0.13
A. Prob(x = 3)
= 1 - (0.05 + 0.13 + 0.30 + 0.50)
= 0.02
Probability of buying only 3 times = 2%
B. The cumulative frequency is in the attachment.
Pls Pls Pls help! Simplify the equation: [tex]\sqrt{\frac{1}{9} x^{2}y^{10}[/tex]
Which expression is equivalent to 1/2x + 8
Answer:
1/2( x+16)
Step-by-step explanation:
1/2x + 8
Factor out 1/2
1/2*x + 1/2 *16
1/2( x+16)
Somebody help me to solve this inequality:8x-2>15x-6.
Answer:
x< 4/7
Step-by-step explanation:
See image below:)
I need the answers pls!!!!
please
Answer:
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
Step-by-step explanation:
Given
[tex](4x - 3)(5x - 8)[/tex]
Required
Identify and correct error
The error is when the inner and outer terms are multiplied. i.e.
[tex]4x * -8 = -32x[/tex] not 32x
[tex]-3 * 5x = -15x[/tex] not 15x
So, the expression is:
[tex](4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24[/tex]
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
A student who scored 84 marks was absent.
what was would be the average of the remaining students?
Answer:
132
Step-by-step explanation:
48
+ 84
--------
132
_____
A small engine shop receives an average of repair calls per hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for -hour day? What, if anything, did you assume?
Answer:
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Step-by-step explanation:
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.
N-instances of a normal variable:
For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]
What is the mean and standard deviation of the number of calls it receives for n-hour day?
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Mr. Akika has 33 18 cent and 32 cent stamps all told. The stamps are worth $9.02. How many of each kind of stamp does he have? Mr. Akika has 18 cent stamps and 32-сent stamps Enter your answer in each of the answer boxes.
Answer:
Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
Step-by-step explanation:
Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:
10 x 0.18 + 23 x 0.32 = 9.16
11 x 0.18 + 22 x 0.32 = 9.02
Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
Ms. Jackson is making book bags for her class. She needs 2 2/3 yards of fabric for each book bag. If she
wants to make 10 book bags, how much fabric should she buy?
Answer:
26 2/3
Step-by-step explanation:
first you want to times the yards which gives you 20 yards.
next you times the 2/3 by 10 giving you 20/3 yards. the fraction converted into a mixed numeral is 6 & 2/3.
add both the 6 & 2/3 and the 20 which gives you 26 2/3
Answer:
26 2/3 is the answer.
Explanation:
Add the wholes first. That will give you 20. Then add the fractions. That will give you 20/3. When you write that in a mixed number, it will be 6 2/3. Add 20 with 6 2/3. That will give you 26 2/3 as the final answer.
solve for x to the nearest tenth y completing the square: x^2-5x+7=0
Answer:
does not have a solution because √-0.75 ≠ R
Step-by-step explanation:
x^2 - 5x + (5/2)^2 = -7
x^2 - 5x + 6.25 = -7 + 6.25
(x - 2.5)^2 = -0.75
(x - 2.5) = √-0.75
does not have a solution because √-0.75 ≠ R
Answer:
x = (1/2)(5 ± i√3)
Step-by-step explanation:
x² - 5x + 7 = 0
subtract 7 from both sides
x² - 5x = -7
Use half the x coefficent, -5/2, as the complete the square term
(x - 5/2)² = -7 + (-5/2)²
(x - 5/2)² = -7 + 25/4
(x - 5/2)² = -3/4
Take the square root of both sides
x - 5/2 = ±(√-3) / 2
x - 5/2 = ±(i√3) / 2
Add 5/2 to both sides
x = 5/2 ± (i√3) / 2
factor out 1/2
x = (1/2)(5 ± i√3)
Help me!! Which statement is correct?
Answer:
D option is correct
( At Q3 the market is wasting society's .. )
Solve for 2. Round to the nearest tenth of a degree, if necessary.
L
90
K
80
J
Answer:
41.6
Step-by-step explanation:
got it wrong and it showed me the right answer
In ΔDEF, the measure of ∠F=90°, ED = 25, DF = 24, and FE = 7. What ratio represents the sine of ∠D?
Answer:
39/89
Step-by-step explanation:
Answer:
7/25
Step-by-step explanation:
(sin) = opp/hyp
0.135 written as a fraction is
Answer:
[tex] \frac{27}{200} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.
Hope it is helpful...which function is shown in the graph below?
4x^2+4x-14=0 solve and explain then you get brainliest .
Answer:
Step-by-step explanation:
Hope this helps u!!
Is 3 Liters equal to 300 mL. Is 3 yards equal to 12 feet. Is 3 tons equal to 9,000 lb
Answer:
3 Liters = 3000 ml
3 Yards = 12 feet
3 tons = 6000 lb.
Hope that this helps!
Answer:
3 Liters is equal to 3,000 mL
3 Yards is equal to 9 feet
3 Tons is 6,000 lbs
Step-by-step explanation:
Hope this helped!
Write the equation of the line passing through the point (−2, 1) that is parallel to y=−4x+3.
It was some mistake in previous one so i edited this one.
The difference between 8 and a number is 5.
Answer:
the answer is 3.
Step-by-step explanation:
Difference between means to subtract.
8 - 5 = 3
Answer:
8- a = 5
Step-by-step explanation:
I need Help Please asp!!!
9514 1404 393
Answer:
174.4 cm³
Step-by-step explanation:
The relevant volume formulas are ...
V = πr²h . . . . . cylinder of radius r and height h
V = 4/3πr³ . . . . sphere of radius r
__
Then the difference in volume between the cylinder and the 3 spheres is ...
ΔV = π(2.5 cm)²(14 cm) -3(4/3π(2 cm)³) = π(87.5 -32) cm³ = 55.5π cm³
The volume of air is about 174.4 cm³.
PLSS HELP ASAP!!!! I’ll give you 30 points!!!
Answer:
174.8 in²
Step-by-step explanation:
Shaded area = square area - circle area
---------------------
Square
a = 15 * 15
a = 225
Circle
a = π * 4²
a = 3.14 * 16
a = 50.24
------------------------
Shaded
a = 225 - 50.24
a = 174.76
Rounded
174.8 in²
When 390 junior college students were surveyed,115 said that they have previously owned a motorcycle. Find a point estimate for p, the population proportion of students who have previously owned a motorcycle.
a. 0.705
b. 0.228
c. 0.295
d. 0.418
Answer:
0.2948 ≅ 0.295
Step-by-step explanation:
According to the Question,
Given, 390 junior college students were surveyed,115 said that they have previously owned a motorcycle .So, the population proportion of students who have previously owned a motorcycle is 115/390 ⇔ 0.2948 ≅ 0.295
Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar . She already put in 1/2 a cup of flour. How many more cups of flour does need to add? Write your answer in decimal form.
Answer:
6 1/2................
What is the slope and y-intercept of 6x-5y=13
Answer:
The slope is 6/5 and the y intercept is -13/5
Step-by-step explanation:
6x-5y=13
Solve for y
Subtract 6x from each side
6x-6x-5y=-6x+13
-5y = -6x+13
Divide by -5
-5y/-5 = -6x/-5 +13/-5
y = +6/5x -13/5
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 6/5 and the y intercept is -13/5
The table below shows Karen's distance during the marathon. What is a reasonable explanation for what happened between hours 2 and 3.
o
Karen ran backwards for an hour.
Karen ran 2 miles between hours 2 and 3.
Karen decided to rest and stopped running for an hour.
K aren ran at the same speed between hours 2 and 3.
rious
Answer:
C. Karen decided to rest and stopped running for an hour
Step-by-step explanation:
The line of the graph shows a horizontal line between hours 2 and 3 with a corresponding distance that remains the same on the y-axis. This simply means that, only the hours change but distance didn't change. Therefore, it can be concluded that after for 1 hour, Karen decided to stop over and rest.
Answer:
the answer is C
Step-by-step explanation:
Hello Plsss ...... this is important
1. how many cubic meters are in 250,000 cubic centimeters?
A. 0.025m³ B. 0.25m³ C. 2.50 m³ D. 25
2. the volume of an ordinary box is 3.5 m³. wxpress its volume in cm³?
A. 350 cm³ B. 35000 cm³ C. 3500000 cm³ D. 35000000 cm³
3. Write 1.6 dm³ in cubic centemeters.
A. 1.6 cm B. 16 cm³ C. 160 cm³ D. 1600 cm
4. What is 500dm³ in m³?
A. 0.005 m³ B. 0.05m³ C. 0.5 m³ D. 5 m³
Answer:
1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³
so 250,00cm³ are just 0.25m³
2) looking at the conversion above, three point five million is correct
3) 1dm³ = 10cm*10cm*10cm = 1,000cm³
D, as in Dewey Duck
4) 1m³ = 10dm*10dm*10dm = 1,000dm³
see that it's C?
Write a word description of the set.
{1, 3, 5, 7, 9, 11, 13}
The set of odd natural numbers is less than
Answer:
if this is multiple choice then you forgot to give us the answers. the best answer i can give you is "the set of odd numbers is less than 15 because it does not exceed 13
A word description of sets is given below.
We have the following set - {1, 3, 5, 7, 9, 11, 13}.
We have to write a word description of set.
What is Set ?A set is a collection of elements or members, which can be mathematical objects of any kind for example → numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
According to the question, we have the following set -
{1, 3, 5, 7, 9, 11, 13}
The above set is written in Roster or enumeration notation with the members enlisted between the curly braces. This set consist of 7 elements and each element of this set can be determined using the following rule -
a(n) = 2n - 1
This also represents the set of odd positive integers.
To learn more about sets, visit the link below-
https://brainly.com/question/19257002
#SPJ2
A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without. When estimating the proportion of all Americans who would prefer a car with a sunroof over one without with 99% confidence, what is the margin of error
Answer:
The margin of error is of 0.1282 = 12.82%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without.
This means that [tex]n = 38, \pi = \frac{34}{38} = 0.8947[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
What is the margin of error?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 2.575\sqrt{\frac{0.8947*0.1053}{38}} = 0.1282[/tex]
The margin of error is of 0.1282 = 12.82%.
-2/3×3/5+5/2-3/5×1/6
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{-2}{3}*\frac{3}{5}+\frac{5}{2}-\frac{3}{5}*\frac{1}{6}=\frac{-2}{5}+\frac{5}{2}-\frac{1}{5*2}\\\\= \frac{-2}{5}+\frac{5}{2}-\frac{1}{10}\\\\=\frac{-2*2}{5*2}+\frac{5*5}{2*5}-\frac{1}{10}\\\\=\frac{-4}{10}+\frac{25}{10}-\frac{1}{10}\\\\=\frac{-4+25-1}{10}\\\\=\frac{20}{10}\\\\= 2[/tex]