Similar triangles and slope

Line r is parallel to line c
Which angle is congruent

Answer:

The p-value is;

d. 0.00131

Step-by-step explanation:

The given question parameters are;

                                                     Company A   [tex]{}[/tex]                       Company B

Sample size                                   80[tex]{}[/tex]                                         60

Sample mean   [tex]{}[/tex]                            [tex]\overline x_1[/tex] $16.75                            [tex]\overline x_2[/tex] $16.25

Population standard deviation [tex]{}[/tex]   σ₁  $1.00                           σ₂ $0.95

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

Therefor, we have;

[tex]z=\dfrac{(16.75-16.25)-(0-0)}{\sqrt{\dfrac{1^{2} }{80}+\dfrac{0.95^{2}}{60}}} \approx 3.0128[/tex]

The p-value = 1 - 0.99869 (the area to the right of 3.01) = 0.00131

Answer:

Step-by-step explanation:

y=-4x+2

Answer:

y=2x-4

Step-by-step explanation:

Becuase the x axis croses -4, so you would draw a line starting at the bottom through negative 4. Then since their is a positive 2 you would keep drawing the line on the untill you see a 2 which would be on the y axis.

Answer:

17.2 in

Step-by-step explanation:

The formula for arc length is s = rФ.  Here we are to find r.  Solving this formula for r, we get:

r = s/Ф

So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in

Answer: 48

Step-by-step explanation:

big square is 64, shaded square is 16

64-16= the unshaded region

Answer:

the answer qould be 4x if you are just simplifying

Answer:

i think it would be the first one i am not 100% sure just a gues

Step-by-step explanation:

Answer:

275 hamburgers was sold on Friday

Answer:

12

Step-by-step explanation:

Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56

Answer:

21 ft

Step-by-step explanation:

Answer:

-2x²+490x+2500

Step-by-step explanation:

Given that,

Demand, D(x) = 500-2x

The price for the product, P(x) = x+5

We need to find the revenue for the product. The formula for the revenue is given by :

Revenue = price × demand

Substitute all the values,

R = (x+5)(500-2x)

= 500x -2x² + 2500 -10x

= -2x²+490x+2500

So, the expression for the revenue function is "-2x²+490x+2500".

Answer:

Step-by-step explanation:

Alyssa will correctly label the numbers 48.8 48 48.09 and 48 on the number line below Which number will be located closest to 48

Answer:

the answer is (6*10^6)

Step-by-step explanation:

Multiply the beginning numbers and add the exponents.

Answer:

42

Step-by-step explanation:

Because of its shape I would imagine another flipped so it makes a square then solve for the square the divide.

7 x 12 =84

84÷2=42

Answer:

5

Step-by-step explanation:

because it takes 4 1/5 paint for each canvas 5 times 4 1/5 is 21.

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

Answer: 44

Step-by-step explanation:

Answer:

3(2)+7(2)-9(2)+4(2)+10+12(2)

6+14-18+6+10+24

60-18

42

Answer:

64 quarts of maple syrup needed

Step-by-step explanation:

There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables

16 * 2 = 32 quarts of maple syrup

Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.

32 * 2 = 64 quarts of maple syrup needed

Answer:

4 Quarts

Step-by-step explanation:

You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.

There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.

Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.

16÷2=8

The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.

8÷2=4

The owner needs 4 quarts of maple syrup to fill the bottles.

I think is -7

Step-by-step explanation:

because I calculated I'm not sure tho

Answer:

24/7

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

4      *      6      =       24                       8

9                                 9                         3

Answer:

first and last expressions are correct.

3 : 5

x : 125

125 ÷ 5 = 25

25 × 3 = 75

no. of hens = 75

Answer:

The missing side is 14.4

x=14.4

Answer:

Step-by-step explanation:

Answer:

9,160,000 tons

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

Answer:

M=(0.75,1.25)

H=(-1.5,-0.5)

D=(1,-1.75)

Step-by-step explanation:

Hope this helps.

Answer:

True

Step-by-step explanation:

When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60

i hope that this helps you :)

Answer:

.

Step-by-step explanation:

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