Answer:
90Step-by-step explanation:
Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
Step-by-step explanation:
3.2
Write an equation in slope intercept form for the line that passes through ( 1, 5) with a slope 2
Answer:
y=2x+3
Step-by-step explanation:
The waiting time for a bus has a uniform distribution between 2 and 13 minutes. What is the probability that the waiting time for this bus is less than 4.5 minutes on a given day
Answer: 0.2273
Step-by-step explanation:
Probability density function for uniform distribution is given by :-
[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].
Let x denotes the waiting time for this bus.
Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.
Probability distribution function of x for interval [2,13] will be :-
[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]
Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]
[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]
Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273
help i can't figure this out it's algebra
Step-by-step explanation:
Part A:
The maximum point is (2.5, 2531.25). This represents that $2.5 should be decreased from the original price to achieve the most profit from t-shirt sales.
Part B:
The y-intercept is seen to be around (0, 2500). This tells us that the profit made from the original price is $2500.
Part C:
Yes. The point (25, 0) is a solution. It tells us that if we decreased the original price by $25, we would make no/zero profit.
Answer:
Step-by-step explanation:
A. The optimal decrease in price to gain the maximum profit in sale:
Meaning if you reduce the price by $2.5, you will gain the maximum profit of $2531.25
B. It represents the amount of profit without any change in the current price on the t-shirt.
By shifting and expanding the original equation [tex]y=-x^{2}\\[/tex]
[tex]y = -5(x-2.5)^{2} + 2531.25[/tex]
[tex]x = 0 => y = 2500[/tex]
C. The solution is as in part B
It represents by reducing the price of each t-shirt, there is an initial increase in profit but eventually it will drop.
Which of these could not be used to prove that the base angles of an isosceles
triangle are congruent? HELP PLEASE
Answer:
B.
Step-by-step explanation:
Answer is B.
Draw a perpendicular bisector from vertex C to segment AB .
Then use SAS to show that the two triangles formed are congruent .
Then corresponding angles to will be congruent.
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.15 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 11.19
Answer:
97.5% of American women have shoe sized less than 11.19
Step-by-step explanation:
Here, we want to use the empirical rule to find the percentage of women with shoe sizes less than 11.19
The first thing we shall do here is to find the z-score
Mathematically, that will be calculated using the formula;
z = (x-mean)/SD
z = (11.19-8.15)/1.52
z = 2
We can see that the given value is 2 standard deviation away to the right of mean
So, we want to get the percentage that is between the mean and two standard deviations away from it using the empirical rule
So according to the empirical rule
The percentage will be
100-2.35-0.15
= 100-2.5 = 97.5%
Calculate (Round two decimal places for final answer):4 gallons (gal) = ___________ liters (L).
Answer:
I believe your answer is 15.14 liters
A cement mixer can hold up to 681 kilograms of cement. How many 100-pound bags of cement can be put into the mixer at one time?
Answer:
15 bags
Step-by-step explanation:
Given that :
Capacity of mixer = 681 kg
Pounds per bag of cement = 100 pounds
Number of bags mixer can hold =?
Converting the capacity of mixer to pounds :
1kg = 2.205 pounds
681 kg = (681 * 2.205) pounds = 1501.605 pounds
Number of 100 pound bag of cement :
Capacity in pounds / 100 pounds
1501.605 / 100
= 15.016
= 15 bags of 100 pound cement
Olivia is cutting a 1 1/2 m by 3/4 m piece of rectangular paper into two pieces along its diagonal.
Find the area of each of the pieces.
Answer:
[tex]area = length \: \times \: width \\ = \frac{11}{2} \times \frac{3}{4} \\ = \frac{(11 \times 3)}{(2 \times 4)} \\ = \frac{33}{8} \\ area = 4.125 \: {m}^{2} \\ or \\ area = 4 \frac{1}{8} \: {m}^{2} [/tex]
PLEASE HELP PLATO ALGEBRA 2 Select ALL the correct answers.
Answer:
I think B and C
Step-by-step explanation:
Sorry if I got rong but..
hopes it helps
12 + x + 13 what is x
Answer:
25x
Step-by-step explanation:
Answer:
You cant find the value of x but here is the simplified version :
x+25
PLEASE ANSWER ASASP!!!!!!!!!!!!
Which of the following are equivalent to 3(p + 2)?
a. 6 + 3p
b. 3p + 2
c. 5p
d. 9p
Answer:
a) 6 + 3p
Step-by-step explanation:
Use distributive property: a*(b + c) = a*b + a*c
3(p + 2) = 3*p+ 3*2
= 3p + 6
Answer:
b. 3p + 2
Step-by-step explanation:
The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft tall. How far from the front of the house is the support post positioned?
Answer:
The support post positioned 23 feet far from the front of the house
Step-by-step explanation:
According to Pythagoras Theorem
(Hypotenuse)² = (Base)² + ( Perpendicular)²
We need to find Base so arranging the equation will give us
(Base)² = (Hypotenuse)² - ( Perpendicular)²
Taking under root on both sides
Base = √(Hypotenuse)² - ( Perpendicular)²
Base = √ (625 - 100)
Base = √525
Base = 23 feet
A local little league has a total of 60 players, of whom 40% were left handed. How many left handed players were there?
Answer:
24
Step-by-step explanation:
60 x 0.4 = 24 players
Evaluate y3 if y = 4 what is the answer
Answer: y3 = y= 4. 4 x3 =12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you would replace y with 4 and that leaves you with
(4)3= 12
Good luck have a good rest of your day!
Write a polynomial function in standard form with given zero x=1,-2,-7
Answer:
f(x) = x³ + 8x² + 5x - 14
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Binomial RootsStep-by-step explanation:
Step 1: Define
Zeros x = 1, -2, -7
Step 2: Find Polynomial
Rewrite zeros: f(x) = (x - 1)(x + 2)(x + 7)Expand [FOIL]: f(x) = (x² + 2x - x - 2)(x + 7)Combine like terms (x): f(x) = (x² + x - 2)(x + 7)Expand [Distribute]: f(x) = x³ + x² - 2x + 7x² + 7x - 14Combine like terms (x²): f(x) = x³ + 8x² - 2x + 7x - 14Combine like terms (x): f(x) = x³ + 8x² + 5x - 14Charlie will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $48 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.14 per mile driven.
For what amount of driving do the two plans cost the same?
miles
What is the cost when the two plans cost the same?
$
Answer:
180; both plans would cost $82.20
Step-by-step explanation:
48+.19x=57+.14x
x=180
48+.19(180)=82.2
57+.14(180)=82.2
What is the gear ratio of a 10 tooth gear driving a 40 tooth gear?
Answer:
4
Step-by-step explanation:
40/10=4
Answer: 4
Step-by-step explanation:
40/10=4
Please help me answer this
Explain you’re answer
Will give braisnlt
Answer:
Concept: Math Analysis
So we want the cost of a 8 × 10 Notice the price distribution So 1.50The next two terms are
and
Answer:
The next two terms are 92 and 105.
Step-by-step explanation:
79 + 13 = 92
92 + 13 = 105
Find the value of x in the triangle shown below.
7
3
2
Choose 1 answer:
(A) =
21
X = 158
B
© X = 10
OX= 58
I NEED HELP ASAP IN KHAN ACADEMY!
Answer:
its root 58 ,h=√psquare + b square =√7square+3square=root58
There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is σ = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n (2/sqrt(20) = 0.557 hours)?
Answer:
Yes
Step-by-step explanation:
The central limit theorem says that If a random variable X from a population has mean u and finite variance σ² , then the sampling distribution of the sample mean X~ approaches a normal distribution with mean u and variance σ²/n as the sample size n approaches infinity.
It is interesting to note that we have neither assumed that the distribution of X is continuous nor we have said anything about the shape of the distribution , whereas the limiting distribution of X is continuous and normal. Thus the distribution of the sample means regardless of the shape of the population having a finite variance , is approximately normal with mean u and variance σ²/n .
Therefore
(standard deviation/ √sample size)²= variance / n
2/ √20
= 2/4.472
=0.44721
The sampling distribution of X` is therefore approximately normal with mean ux=u and σx =σ/n
Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n and this can be determined by finding the mean and standard deviation for the distribution of the sample means.
Given :
There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night.They find that the mean amount of sleep is 6.7 hours.The population standard deviation is σ = 2 hours.The mean for the distribution of the sample means is given by:
[tex]\mu_x = \mu[/tex]
[tex]\mu_x = 6.7[/tex]
The standard deviation for the distribution of the sample means is given by:
[tex]\rm \sigma_x = \dfrac{\sigma}{\sqrt{n} }[/tex]
[tex]\sigma_x = \dfrac{2}{\sqrt{20} }[/tex]
[tex]\sigma_x = 0.44721[/tex]
Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n.
For more information, refer to the link given below:
https://brainly.com/question/17716064
Simplify (3^-2/3•3^1/3)^-1 using rational exponents
2)
Write an equivalent form of the exponential
expression:
(x4)3
Complete the table part 1.
Answer:
answer will multiple of 6 till 5 because each 10 contain 6 so ans is 6,12,18,24,30
Select the correct answer. You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information? (A. 0) (B. 1) (C. 2) (D. 3)
Answer:
The answer is B.1
(4x-8)-(-3x + 10)
HELP
Answer:
7x-18
Step-by-step explanation:
brainlliest plz
A farmer owns 24 acres of land. He plans to use 6 acres for an entrance into the farm and divide the remaining land into 1/3 acre lots. How many 1/3 acre lots will he have?
Answer:
54 one-third acre lots
Step-by-step explanation:
24 - 6 = 18
18 ÷ 1/3 = 18 × 3 = 54
Answer: 54
Step-by-step explanation:The remaining portion to be divided into 1/3 acre lots is the difference between the number of acres owned by the farmer and the number of arces used for the entrance. This difference is
= 24 arces - 6 arces
= 18 acres
These acres is to be divided into 1/3 arce then the number of 1/3 arce loits that will be available
= 18 ÷ 1/3
= 18 × 3/1
= 54
Please help! You get all my points!
Answer: 28269
Step-by-step explanation:
I used a calculator, but Callie messed up when instead of writing 120 (3*4), it should've been 1200 because u add a 0 every time you go down.
Hope this helps :)
PLEASE HURRY
The Liberia zoo had 30 giraffes in its exhibit. The zoo loaned 7 giraffes to a neighboring zoo. How many giraffes remained at the Liberia zoo? Which equation models the situation? How many giraffes remained at the Liberia zoo?
