HELP ASAP!! In a right triangle, the longer leg is twice the shorter leg and the hypotenuse is 8 more than the shorter leg. Find the length of the shorter leg.

Answer:

201

Step-by-step explanation:

40+43+51+67=201

Answer:

its 40

Step-by-step explanation:

3x=18

x= 6

6 dollars in pocket

Answer:

32+s=55

Step-by-step explanation:

Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.

Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Answer:

The correct option is (2).

Step-by-step explanation:

We need to find the value of the given expression i.e.

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]

We can calculate it as follows :

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]

So, the final answer is x⁶. The correct option is (2).

Answer:

y = -5x + 12

Step-by-step explanation:

slope intercept form is where you simplify it and get the y by itself, so:

[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]

Answer:

42n+90

Step-by-step explanation:

Answer:

sorry the image is not clear

Answer:

18 seats in each row

Step-by-step explanation:

25 x 22 = 550

928 - 550 = 378

378 / 21 = 18

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]

Substitute

[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]

Multiply both sides by 3.18

[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]

[tex] sin(K) = 0.5716 [/tex]

[tex] K = sin^{-1}(0.5716) [/tex]

K = 34.8618741° ≈ 34.90°

Answer: Line J  

A is the answer

Answer:

6

Explanation:

substituting- f(x)= (1+2) + 2(1+2) -3

3 + 2(3)-3

3+6-3

=6

HOPE IT HELPS

Answer:

37.5

Step-by-step explanation:

If 50 apples cost 25 then all you need to do is 25 x 1.5 = 37.5

And we know this is correct because 25 divided by 2 is 12.5.

so 12.5 is how much for 25 apples and if you multiply 25 times 3 it is equal to 75 so you need to mutliply 12.5 times 3.

12.5 x 3 = 37.5

Answer:

29 1/31 minutes

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

Answer:

400 grams

Step-by-step explanation:

12ounce= 340.19 grams approximately

So,its best to buy the package that weighs 400 grams

Answer:

18 units square

Step-by-step explanation:

Given

The attached trapezium

Required

Determine the area

From the attachment, the height, h is:

[tex]h = 3\ units[/tex]

And parallel sides are:

[tex]s_1 = 3[/tex]

[tex]s_2 = 9[/tex]

So, the area is calculated as:

[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]

[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]

[tex]Area = \frac{1}{2} * 12 * 3[/tex]

[tex]Area = \frac{36}{2}[/tex]

[tex]Area = 18[/tex]

Answer:

i do not know that one

Step-by-step explanation:

I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished  

Answer:66.3

Step-by-step explanation:

Answer:

5 Probability

5.1 Probabilities

Probabilities are used to describe how likely or unlikely it is that something will happen.

Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular

parts of the country.

Worked Example 1

(a) When you roll a dice, which number are you most likely to get?

(b) If you rolled a dice 600 times how my sixes would you expect to get?

(c) Would you expect to get the same number of ones?

Solution

(a) You are equally likely to get any of the six numbers.

(b) You would expect to get a six in about 1

6

of the throws, so 100 sixes.

(c) Yes, in fact you would expect to get about 100 of each number.

Worked Example 2

Use one of the following to describe each one of the statements (a) to (d).

Certain

Very likely

Likely

Unlikely

Very unlikely

Impossible

(a) It will snow tomorrow.

(b) It will rain tomorrow.

(c) You win a car in a competition tomorrow.

(d) You are late for school tomorrow.

Solution

(a) Very unlikely for most places in Britain, especially in summer.

(b) Likely or Very likely in Britain in winter.

(c) Very unlikely if you have entered the competition. Impossible if you have not

entered the competition.

(d) Very unlikely, unless the school bus breaks down.

Answer:

It's 16,  there's so many question on this one.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

height = 184.7 feet

Step-by-step explanation:

sin 38 = height/300

0.6157 = height/300

height = 184.7 feet

Answer:

[tex]y-10=-2(x-7)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point

Plug in the slope

[tex]y-y_1=-2(x-x_1)[/tex]

Plug in the given point (7,10)

[tex]y-10=-2(x-7)[/tex]

I hope this helps!

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Since [tex]M = 75, T = 2.898, n = 18[/tex]

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]

[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]

[tex]s = 109.7992[/tex]

The sample standard deviation is of 109.7992 calories.