anna needs at least $1000 to pay her bills this week.she has $250 in the bank and makes $15 an hour at her job.how many hours does she have to work thus week in order to pay her bills

Answers

Answer 1

Answer: She should only have to work about 50 hours

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Please help!!What is the value of x? Enter your answer in the box. x = NOTE: Image not drawn to scale. Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 44.8 millimeters, G D equals left parenthesis x plus 4 right parenthesis millimeters, D H equals 35 millimeters, and E H equals 56 millimeters.

Answers

Answer:

The value of x is 24.

Step-by-step explanation:

Given information: In ΔGHE, ED is angle bisector, EG=44.8 millimeters, GD=(x+4) millimeters, DH=35 millimeters, and EH=56 millimeters.

According to the angle bisector theorem, an angle bisector divide the opposite side into two segments that are proportional to the other two sides of the triangle.

In ΔGHE, ED is angle bisector, By using angle bisector theorem, we get

$(GD)/(DH)=(EG)/(EH)$

$(x+4)/(35)=(44.8)/(56)$

Multiply both the sides by 35.

$x+4=(44.8)/(56)* 35$

$x+4=28$

Subtract 4 from both the sides.

$x=28-4$

$x=24$

Therefore the value of x is 24.

Answer:

x = 24

Step-by-step explanation:

The segments on either side of an angle bisector are proportional:

(x +4)/44.8 = 35/56

x +4 = 44.8·(35/56) = 28 . . . . multiply by 44.8

x = 24 . . . . . subtract 4

In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse

Answers

Answer:

nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy

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Sum of the interior angles of any triangle equal 180° .

Thus ;

The angle which facing to the side 4 is 45°.

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Hint:

In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .

Thus ;

$( √(2) )/(2) x = 4 \n$

Multiply sides by 2

$2 * ( √(2) )/(2) x = 2 * 4 \n$

$√(2) x = 8 \n$

Divide sides by √2

$( √(2)x )/( √(2) ) = (8)/( √(2) ) \n$

$x = (4 * 2)/( √(2) ) \n$

$x = (4 * √(2) * √(2) )/( √(2) ) \n$

$x = 4 √(2) \n$

$x = hypothenuse = 4 √(2)$

Done...

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(2 - (- 2)²)² +5 · ( -4)

Answers

Answer:

-164

Step-by-step explanation:

(2 - (- 2)²)² +5 · ( -4)

(2 + 2²) ² +5 · ( -4)

(2 + 2 + 2)² +5 · ( -4)

6² +5 · ( -4)

6 · 6 + 5 · -4

36 + 5 · -4

41 · -4

-164

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy?

Answers

Answer:

240

Step-by-step explanation:

20 x 12 = 240

Kenny bought 240 baseball cards.

Suppose you read online that children first count to 10 successfully when they are 32 months old, on average. You perform a hypothesis test evaluating whether the average age at which gifted children first count to 10 is different than the general average of 32 months. What is the p-value of the hypothesis test? Choose the closest answer.

Answers

Answer:

$p_v =2*P(t_((35))<-1.822)=0.0885$

Step-by-step explanation:

Assuming this info from R

hist(gifted$count)

## Min. 1st Qu. Median Mean 3rd Qu. Max.

## 21.00 28.00 31.00 30.69 34.25 39.00

## Sd

## [1] 4.314887

Data given and notation

$\bar X=30.69$ represent the mean

$s=4.3149$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =32$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different than 32, the system of hypothesis would be:

Null hypothesis: $\mu = 32$

Alternative hypothesis: $\mu \neq 32$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=(\bar X-\mu_o)/((s)/(√(n)))$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=(30.69-32)/((4.3149)/(√(36)))=-1.822$