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Create a table and graph the function.
1. y = (x + 3)^2 + 2


2. y = 2(x - 2)^2 - 4

Answer:

C

Step-by-step explanation:

I've completed the test before. :)

Answer:

a. 5% of the employees will experience lost-time accidents in both years

b. 24% of the employees will suffer at least one lost-time accident over the two-year period

Step-by-step explanation:

a. What percentage of the employees will experience lost-time accidents in both years?

20% last year, of those who suffered last year, 25% during this year. So

[tex]p = 0.2*0.25 = 0.05[/tex]

5% of the employees will experience lost-time accidents in both years.

b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

5% during the two years.

10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.

First year yes, not on the second.

75% of 20%. So, total:

[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]

24% of the employees will suffer at least one lost-time accident over the two-year period

Answer:

m = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]            

m = [tex]\frac{-2-4}{-5-4}[/tex]

m = [tex]\frac{-6}{-9}[/tex]

m = [tex]\frac{6}{9}[/tex]

m = [tex]\frac{2}{3}[/tex]

Answer:

s-10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]P(x \le 3.24) = 0.97725[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 2.5[/tex]

[tex]\sigma = 0.37[/tex]

Required

Percentage that is not more than 3.24

The above implies that:

[tex]x = 3.24[/tex]

Calculate z score

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

[tex]z = \frac{3.24 - 2.5}{0.37}[/tex]

[tex]z = \frac{0.74}{0.37}[/tex]

[tex]z = 2[/tex]

So, the probability is represented s:

[tex]P(x \le 3.24) = P(z \le 2)[/tex]

From z probability

[tex]P(z \le 2) = 0.97725[/tex]

Hence:

[tex]P(x \le 3.24) = 0.97725[/tex]

Answer:

y = 48

Step-by-step explanation:

Start with the given 3y = 150.

Solve this for y by dividing both sides by 3:  y = 50

Then y - 2 = 50 - 2, or

        y    =    48

The value of y-2 is 48,

Two expressions connected by an equal sign makes an equation.

Given is an equation, 3y = 150

Solving for y,

3y = 150

y = 150 / 3

y = 50

therefore, y-2 = 50-2

= 48

Hence, the value of y-2 is 48,

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Answer:

$24.20

amount invested = $356

Interest = $44

Step-by-step explanation:

Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places

Simples interest = amount invested x time x interest rate

400 x 0.065 x 1 = $24.20

b. interest = amount received - amount invested

Amount invested = amount received / (1 + r)^n

r = interest rate

n = number of years

400 / (1.06)^2 = 356

Interest = 400 - 356 = $44

Answer:

did, the jackles howled loudly in the forest ?

Answer:

First integer = 19

Second integer  = 21

Third integer  = 23

Step-by-step explanation:

To solve this problem, we will need to set up an equation.  

x will be the First integer.  Let  x+2  be the second integer.  x+4  is the third integer.  It all adds up to  63, so your equation is:

(x)+(x+2)+(x+4)=63

Then solve for  x.  

x=19

Hope this helps!

-kiniwih426

Answer:

I reckon it's B ........

Answer: The answer is A, B, and D.

Step-by-step explanation: I just did it on USATestPrep

Answer:

A.0.0002 inch

Step-by-step explanation:

0.02 inch×1%=0.02 inch×1÷100

=0.0002 inch

If A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent, the GREATEST allowable thickness of the metal square is 0.0202 inches. So, correct option is C.

The allowable error for the thickness of the metal square is given as 1 percent. To determine the greatest allowable thickness, we need to find 1 percent of the given thickness and subtract it from the given thickness.

Given thickness: 0.02 inches

1 percent of 0.02 inches = (1/100) * 0.02 inches = 0.0002 inches

Subtracting the 1 percent allowable error from the given thickness:

0.02 inches ± 0.0002 inches = 0.0198 inches or 0.0202 inches

Therefore, the greatest allowable thickness of the metal square is 0.0198 inches or 0.0202 inches.

Among the answer choices provided:

A. 0.0002 inches is the 1 percent allowable error, not the greatest allowable thickness.

B. 0.02 inches is the given thickness.

C. 0.0202 inches is the greatest allowable thickness.

D. 0.03 inches is greater than the greatest allowable thickness.

Hence, the correct answer is C. 0.0202 inches.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The desired expression can be expanded to the sum of products form ...

  A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)

It will only be true when A is true and one of B or C is false.

Answer:

2.- 8.0 in.

Step-by-step explanation:

8.1 in

Step-by-step explanation:

A^2+B^2=C^2

49+16= 65

square root of 65≈8.06

round up to 8.1

Answer:

6 1/2................

Answer:

-1  1/4 yards

Step-by-step explanation:

7 carries

-8.75 yards  total yardage

    -.8.75 / 7  =  -1.25 yards average per carry

In mixed number ?    -1  1/4 yards          

Answer:

b.    x = ±2

Step-by-step explanation:

3x² = 12

Divide both sides by 3

x² = 4

Taske the square root of both sides

x = ±2

Step-by-step explanation:

[tex]B=100e^{0.592t}[/tex]

c) To solve for t, take the natural logarithm of the above equation:

[tex]\dfrac{B}{100}=e^{0.592t}[/tex]

[tex]\Rightarrow \ln \left(\dfrac{B}{100} \right) = \ln e^{(0.592t)}=(0.592t)\ln e[/tex]

Recall that [tex]\ln e = 1[/tex] so we can rewrite the equation above as

[tex]0.592t = \ln \left(\dfrac{B}{100} \right)[/tex]

Finally, solving for t, we get

[tex]t = \frac{1}{0.592} \ln \left(\dfrac{B}{100} \right)[/tex]

Answer:

Ŷ = -1.7391+0.8913X

Step-by-step explanation:

Given the data :

husband 23,27 ,28,28,29, 30,31,33,35,36

wife 18,20,22,27,21,29,27,29,28,29​

Taking :

Husband as (X)

Wife as (Y)

We could use technology to fit the data and obtain a regression model.

Using technology ; the regression equation obtained is:

Y = -1.7391+0.8913X

Where

Y = wife

X = husband

Slope = 0.8913

Intercept = - 1.7391

Answer:

Width = 108 cm

Step-by-step explanation:

Perimeter =  2 x (length + width)

297 = 2 x (length + width)

148.5 = Length + width

Ratio of Length to Width = 3 : 8

Sum of ratio = 11

[tex]Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm[/tex]

Answer:

the correct answer is option D. 7

Answer:

The answer is A 1 4/5

Work:

7 1/5- 6 2/5

turn 7 1/5 into 6 6/5 and now subtract the two fractions

6/5-2/5= 4/5

now subtract the whole numbers:

6-6=1

So, your answer should be 4/5 (A)

9514 1404 393

Answer:

  46

Step-by-step explanation:

The length of base CD is twice the length of midsegment FG, so you can write the equation ...

  CD = 2×FG

  -3x +52 = 2(13 +5x)

  52 = 26 +13x . . . . . . . . add 3x, simplify

  26 = 13x . . . . . . . . . subtract 26

  2 = x . . . . . . . . . . divide by 13

Then the measure of CD is ...

  CD = -3x +52 = -3(2) +52 = -6 +52

  CD = 46

Answer:

I JUST DID IT ITS 5.

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

q=24 m

cause its congurent

9514 1404 393

Answer:

Step-by-step explanation:

The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)

__

The two marked angles are vertical angles, so have the same measure.

  3x° = 75°

  x = 25 . . . . . . . . divide both sides by 3°