what is
3.614 in expanded form

Using the z-distribution, it is found that since the absolute value of the test statistic is greater than the critical value, the null hypothesis is rejected.

At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The proportions and their respective standard errors are given by:

[tex]p_1 = 0.25, s_1 = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]

[tex]p_2 = 0.37, s_2 = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]

For the distribution of the difference, the mean and the standard error are given by:

[tex]\overline{p} = p_2 - p_1 = 0.37 - 0.25 = 0.12[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.12 - 0}{0.0558}[/tex]

[tex]z = 2.15[/tex]

The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.15 is [tex]|z^{\ast}| = 1.4395[/tex].

Since the absolute value of the test statistic is greater than the critical value, the null hypothesis is rejected.

A similar problem is given at https://brainly.com/question/25676691

Answer:

a is 10 and b is 100

Step-by-step explanation:

(a)- if you take 10 to the tenth power you'll get 100

(b)- if you take 100 to the 100th power you'll get 10,000

Step-by-step explanation:

[tex](3 {a}^{2} - 5) - ( {a}^{2} + a - 3 )\\ = 3 {a}^{2} - 5 - {a}^{2} - a+ 3 \\ = 2 {a }^{2} -a - 2 [/tex]

Answer:

[tex]2a^2-a-2[/tex]

Step-by-step explanation:

We can write this problem in algebraic form as:

[tex](a^{2} -5)-(a^{2} +a-3[/tex]

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

[tex]3a^{2} -5-a^{2} -a+3[/tex]

Next, group like terms:

[tex]3a^{2} -a^{2} -a-5+3[/tex]

Now, combine like terms:

[tex]3a^2-1a^2-a-5+3\\(3-1)a^2-a+(-5+3)\\2a^2-a+(-2)\\2a^2-a-2[/tex]

Answer:

3/8

Step-by-step explanation:

1/4 = 2/8

1/8 + 2/8= 3/8

3/8 is simplified

Answer:

2 x 2 x 2 x 5

Step-by-step explanation:

The first few prime numbers:  {2, 3, 5, 7, 11, 13, 17, 19}

One way to start is to divide by the first prime until you can't do that any more, then try the next prime and so on until all the numbers in your list are prime.

40 = 2(20)  divide 20 by 2 again

40 = 2(2)(10)  divide 10 by 2 again

40 = 2(2)(2)(5) stop--all factors are prime.

Answer:

letters temperature/angle and the number 1? is this something my brain hasnt figured out yet??

Step-by-step explanation:

what

Answer:

760

Step-by-step explanation:

Make me brainliest

please

9 students scored a 76 on the test :)

Answer:

5

Step-by-step explanation:

10/2=5

6/3=2

20/10=2

Answer:

40

Step-by-step explanation:

Answer:

40

30%= 12 sixth graders

10%= 12/30×10%

=4

4 ×7(7 as in 70% percent)

=28

28+12=40

Answer:182

Step-by-step explanation:

=======================================================

Explanation:

A decrease of 17% means that he made 100% - 17% = 83% of what he did last year.

83% = 83/100 = 0.83

83% of $55,000 = 0.83*55000 = 45,650 dollars

Answer:

$597.78

Step-by-step explanation:

$559.98  * 6.75% = 37.798 = 37.80

$559.98  + 37.80  =$597.78

Answer:

79.5%

Step-by-step explanation:

[tex]\frac{175-97.5}{97.5} =0.795[/tex]

Answer:

d,e,f

Step-by-step explanation:

Answer:

Linear:

A, C, F

Not Linear:

B, D, E

Answer:

68

Step-by-step explanation:

All sides of a rhombus are equal.

(x)^2 = 8^2 + 6^2

or, x^2 = 64 + 36

or, x^2 = 100

or, x = √100

or, x = 10

The value of x is 10.

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

Wall painted = 13

Time = 14 hour

Av = 14/13 hour

I take 14/13 hour to paint one wall

Answer:

It will actually be 3/4 hours

Step-by-step explanation:

STEP1:

Simplify

[tex] \frac{x + 4}{x - 2} \\ [/tex]

Equation at the end of step1:

[tex] \frac{ ((x {}^{2} ) - 4) }{x} \times \frac{(x + 4)}{x - 2} \\ [/tex]

Factoring: x2 - 4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : x2 is the square of x1

Factorization is : (x + 2) • (x - 2)

Polynomial Long Division :

2.2 Polynomial Long Division

Dividing : x + 2

("Dividend")

By : x ("Divisor")

dividend x + 2

- divisor * x⁰ x

remainder 2

Quotient : 1

Remainder : 2

Equation at the end of step 2:

[tex] \frac{(x + 2) \times (x - 2)}{x} \times \frac{(x + 4)}{x - 2} \\ [/tex]

Cancel out (x-2) which appears on both sides of the fraction line.

Final result :

[tex]⇒ \frac{(x + 2) \times (x + 4)}{x} \\ [/tex]

Answer:

I believe the missing number is 65

Step-by-step explanation:

Answer: 65

Step-by-step explanation: 20 times 5 is 100. 13 times 5 is 65. 65/100

Answer:

hope this helps :)

Step-by-step explanation:

A. 485

B. 525

C. 700

D. 750

Answer: 3 tons

Step-by-step explanation: first I figured out how much 2 tons was which is 4000 pounds and then I divided 4000 by 8 which told me that each foot can hold 500 pounds So then I just did 500×10 which is 5000 pounds which is 3 tons

If an 8-foot column can hold 2 tons, then a 10-foot column can hold 1.28 tons.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The maximum weight that a circular column can hold is inversely proportional to the square of its height.

∴ w ∝ 1/h² or w = k(1/h²).

An 8-foot column can hold 2 tons which is,

2 = k(1/8²).

2 = k(1/64).

k = 128.

Now, 10 feet column can hold,

w = 128(1/10²).

w = 128/100.

w = 1.28 tons.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ5

Answer

-5x+7y = 0

Explanation

Answer:

[tex] - 5x + 7y = 0 \\ \\ is \: the \: answer[/tex]

Answer:

Nearest cent- $1.43

Step-by-step explanation:

14.25x0.10=1.425

Answer:

(See attached file)

Answer:

1000 thousand timesgdfggff

Step-by-step explanation:

hi0

Answer:

Well it’s asking to find 25 percent of 52

So in order to find this you can multiply 52 by 0.25

When done you should get 13

13 well done burgers were served

Answer:

i believe the answer is 341 hope this helps

Answer:

y-0=8

Step-by-step explanation:

um