Find the equation of the line. Use exact numbers
y= ?x+ ?

Answer:

$65.00

Step-by-step explanation:

Cost price of shirt after giving discounts is equals to [tex]\$68[/tex].

" Cost price is defined as the price to be paid at the time of purchase any product."

According to the question,

Initial cost price of shirt [tex]= \$100[/tex]

First discount [tex]= 15\%[/tex]

Discount amount [tex]= 15\%[/tex] of [tex]100[/tex]

                             [tex]= \frac{15}{100} \times 100\\\\= \$15[/tex]

Cost price after first discount [tex]= 100 - 15[/tex]

                                                 [tex]= \$85[/tex]

Second discount [tex]= 20\%[/tex]

Discount amount [tex]= 20\%[/tex] of [tex]85[/tex]

                             [tex]= \frac{20}{100} \times 85\\\\= \$17[/tex]

Cost price after first discount [tex]= 85 - 17[/tex]

                                                 [tex]= \$68[/tex]

Hence, cost price of shirt after giving discounts is equals to [tex]\$68[/tex].

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Answer:

120cm^3

Step-by-step explanation:

Answer:

its D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The histogram shows the distribution of the newly planted trees

The dataset is given as:

3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9

Sort the data elements

3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1

Calculate the range

Range = Highest - Least

This gives

Range = 7.1 - 3.1

Range = 4

Divide by 4 to calculate the class width

Width = 4/4

Width = 1

So, the classes and the frequencies are:

Class               Frequency

3.1 - 4.0              4

4.1 - 5.0              3

5.1 - 6.0             4

6.1 - 7.0              3

7.1 - 8.0              1

See attachment for the histogram

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Answer:

b. The fitted regression line is approximately Y = 82.42(runtime)

Step-by-step explanation:

The regression line is Y=  aX + b

here b= 82.42   a = -3.31

Hence the regression equation is

Y= 82.42- 3.31 X

where x is the runtime and the slope  is given by b.

Option  a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.

Option b is incorrect because the runtime is not given by Y it is given by X.

Option C is correct  as  

Y= 82.42-3.31*10

Y= 82.42-33.1

Y= 49.32  almost 50

Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.

Option e is also correct because the slope is given by b and b= 82.42

mag aral ng mabuti para may alm

Step-by-step explanation:

yan ang answer

expand and simplify (2x + 1)(x + 3)

answer : [tex]2x^2+7x+3[/tex]

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explanation : expand the polynomial using the FOIL method.

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FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

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step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : [tex]2x * x+2x * 3+x+3[/tex]

step 2 : calculate the product

ex: [tex]2x^2+2x * 3+x+3[/tex]

step 3 : calculate the product

ex: [tex]2x^2+6x+x+3[/tex]

step 4 : collect like terms

ex: [tex]2x^2+7x+3[/tex]

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solution : [tex]2x^2+7x+3[/tex]

hope this helps !

- audrey ♡

Answer:

I think it's either A or E sorry if I'm wrong

Using Central Limit Theorem, it is found that the option which best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections is:

The Central Limit Theorem states 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].

In this problem:

Hence, the mean and standard error are given by:

[tex]\mu = p = 0.38[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{40}} = 0.076[/tex]

Also approximately normal, hence, option A is correct.

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Answer:

Step-by-step explanation:

3/5x+30=150

We move all terms to the left:

3/5x+30-(150)=0

Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

We add all the numbers together, and all the variables

3/5x-120=0

We multiply all the terms by the denominator

-120*5x+3=0

Wy multiply elements

-600x+3=0

We move all terms containing x to the left, all other terms to the right

-600x=-3

x=-3/-600

x=1/200

Answer:

(2,4)

Step-by-step explanation:

3x-2(-2)=x

3x-4=x

-4= -2x

x=2

y=3(2)-2

y=6-2

y=4

(2,4)

Answer:

a) -6 mpg.

b) 2.77 mpg

c) The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Gas mileage A: Mean 36, standard deviation 6, sample of 50:

So

[tex]\mu_A = 36, s_A = \frac{6}{\sqrt{50}} = 0.8485[/tex]

Gas mileage B: Mean 42, standard deviation 8, sample of 50:

So

[tex]\mu_B = 42, s_B = \frac{8}{\sqrt{50}} = 1.1314[/tex]

Distribution of the difference:

Mean:

[tex]\mu = \mu_A - \mu_B = 36 - 42 = -6[/tex]

Standard error:

[tex]s = \sqrt{s_A^2+s_B^2} = \sqrt{0.8485^2+1.1314^2} = 1.4142[/tex]

A. Find the point estimate.

This is the difference of means, that is, -6 mpg.

B. Find the margin of error

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 = zs = 1.96*1.4142 = 2.77[/tex]

The margin of error is of 2.77 mpg

C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)

The lower end of the interval is the sample mean subtracted by M. So it is -6 - 2.77 = -8.77 mpg

The upper end of the interval is the sample mean added to M. So it is -6 + 2.77 = -3.23 mpg

The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

Answer:

1.25 inches

Step-by-step explanation:

5 - 5% is 4.75

4.75 - 3.5 is 1.25

Answer:

Square pyramid

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

168+8+4=180

Answer:

424

Step-by-step explanation:

just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer

Answer:

both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.

Step-by-step explanation:

PLATO USERS

Answer:

Both companies claim that their batteries last longer than the average alkaline battery is true .

Step-by-step explanation:

Both companies claim that their batteries last longer than the average alkaline battery  is true because most of the batteries of these companies  did passed the test to last longer.

As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell  batteries passed the test.

hence we can also inferred from here that Energized batteries are more consistent.

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Answer:

-338908990377

Step-by-step explanation:

that is the answer

Answer:

a=15

b=7

c=4

Step-by-step explanation:

[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]

Answer:

a) [tex]\frac{19}{52}[/tex]

b) [tex]\frac{7}{52}[/tex]

Step-by-step explanation:

Total number of students = 52

Number of students who are democrats = 26

Number of students who are business majors = 12

Number of students who are business majors as well as democrats = 7

Now, lets come to the question.

a) Number of students who are democrats but not business majors =

(Number of democrats) - (Number of democrats as well as business majors)

⇒ 26 - 7

⇒ 19

∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]

b) Number of students who are neither democrats nor business majors =

(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)

⇒ 52 - (26 + 12 + 7)

⇒ 52 - 45

⇒ 7

∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]

Answer:

Step-by-step explanation:

Answer:

-10, -|-8|, -(-2), |-11|, 5²

Step-by-step explanation:

Answer:

YOU POST THIS TWICE

IT'S -10, -|-8|, -(-2), |-11|, 5²

Step-by-step explanation:

Answer:

[tex]x + y\le 3000[/tex]

Step-by-step explanation:

Given

[tex]x \to booth[/tex]

[tex]y \to brochures[/tex]

[tex]Total = 3000[/tex]

Required

The inequality for this scenario

The total spending will not exceed the amount they have to spend; So, the inequality is:

[tex]x + y\le 3000[/tex]

From What I understood, I need to find the area and perimeter of those shapes

Bolded words are answers

1. Triangle

Area

9*15=135

135/2=67.5

Perimeter

15+15=30

30+9=39

2. Pentagon

Area: 15.48

Perimeter: 15

Hope this Helps!

Answer: 10 groups

Step-by-step explanation:

Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left

If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do

I hope this helps

Answer:

165

Step-by-step explanation:

18 x 6 = 108

19 x 3 = 57

108 + 57 = 165

:)

Answer:

0.6 kg x .4 kg /.75 = 0.32 kg

Answer:

308

Step-by-step explanation:

22 x 15.4 = 338.8

338.8 / 1.1 = 308

Answer:

x^2 -4x +4

Step-by-step explanation:

(x-2)(x-2)

x^2 -2x -2x +4

x^2 -4x +4

Answer:

-78

Step-by-step explanation:

We need to find the value of -(-(-78))

We know that, -(-x) = +x

And -(-(-x)) = -x

We have,

x = 78

When two minus gets multiplied, we get a positive number and when a minus and a plus gets multiplied, we get a negative number. So,

-(-78) = +78

And

-(-(-78)) = -78

So, the numerical value is -78.