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zalisa [80]
3 years ago
15

What is the product? (4x)(-3x^8) (-7x^3) -84x1 12 -84x24 O 84x12 84724

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

84x^12

Step-by-step explanation:

4x* -3x^8= -12x^9

-12x^9*-7x63= 84x^(9+3)

=84x^12

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Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on pr
Fed [463]

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

n_1 = 25

n_2 = 21

s_1 = 0.98

s_2 = 1.02

\alpha = 0.02

Required

Determine if here is enough evidence

First, we need to state the hypotheses

H_o: \sigma_1^2 = \sigma_2^2

H_1: \sigma_1^2 \ne \sigma_2^2

Next, calculate the test statistic using:

F = \frac{s_1^2}{s_2^2}

F = \frac{0.98^2}{1.02^2}

F = 0.923

Calculate the rejection region;

But first, calculate the degrees of freedom

df_1 =n_1 - 1

df_1 =25 - 1

df_1 =24

df_2 = n_2 -1

df_2 = 21 - 1

df_2 = 20

Using the F Distribution:  table

c = \frac{\alpha}{2}

c = \frac{0.02}{2}

c = 0.01

At 0.01 level (check row 20 and column 24), the critical value is:

<em></em>f_{0.01,24,20} = 2.86<em> --- the upper bound</em>

At 0.01 level (check row 24 and column 20), the critical value is:

f_{0.01,20,24} = 2.74

Calculate the inverse F distribution.

f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365 ---- the lower bound

The rejection region is then represented as:

0.365 < Test\ Statistic < 2.86

If the test statistic falls within this region, then the null hypothesis is rejected

F = 0.923 --- Test Statistic

0.365 < 0.923 < 2.86

<em>The above inequality is true; so, the null hypothesis is rejected.</em>

<em>This implies that, there is no sufficient evidence.</em>

7 0
3 years ago
Please help, I really need help
7nadin3 [17]
So the teacher bought 1/4 of the brownie pan. And it came out to $4.
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5 0
3 years ago
Ashlyn has three more than twice the number of pencils that Yasmin has. Ashlyn has 21 pencils. This can be represented by the eq
cricket20 [7]
Answer:
The variable n represents the number of pencils that Yasmin has.

You can solve for n to determine how many pencils Yasmin has.
7 0
3 years ago
Oxford currently generates 45,000 tons of garbage per year. but the city is launching some recycling initiatives to bring that n
barxatty [35]

Answer:

-Exponential Decay

-Decay factor is (1-0.05)

Step-by-step explanation:

-Given that the number decreases by a defined rate each year from the initial size by 5%,

-This is an exponential decay function of the form:

y=Ae^{-rt}

Where:

y is the quantity/size after time t

A is the initial size

r is the rate of decay

-Our function can the be written as

y=45000e^{-0.05t}

Hence, the decay rate/factor is 0.05

#Alternatively

The exponential decay can be of the form:

y=ab^x

Where:

y is the size at time x, a is the initial size, x is time and b is the decay factor.

b is of the form b=(1-r),\ \  r=decay\  rate

y=ab^x\\\\y=45000(1-0.05)^x

Hence, the decay factor is (1-0.05)

8 0
3 years ago
Write the equation of this line in Point-Slope Form.​
Leona [35]

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line:  Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1.  Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

5 0
3 years ago
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