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3 years ago

What is each expression written using each base only once? (-4)^-6*(-4)^7

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

6 0

(-4)^-6*(-4)^7 = (-4)^1 = -4

answer a. -4

AnnyKZ [126]3 years ago

6 0

The answer of the expression is a. -4

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Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample

hichkok12 [17]

Answer:

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is given by

$MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } )$

Where n is the sample size, s is the sample standard deviation and $z_{\alpha/2}$ is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Therefore, the margin of error is 0.776.

3 0

3 years ago

Solve the inequality x+2 1/2 >-1/2.graph the solution set on a number line. Show your work.

Ainat [17]

Answer:

x > -11

Step-by-step explanation:

The way fractions type on here are weird, so i typed it on a different website i think this is right though.

4 0

2 years ago

(-2,3)(0,8) what is en equation for these points

jenyasd209 [6]

Answer:

The line equation that passes through the given points is 5x – 2y + 16 = 0

Explanation:

Given:

Two points are A(-2, 3) and B(0, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) is given by

$\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}$

${(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)$ .............(1)

here, in our problem x1 = 0, y1 = 8, x2 = -2 and y2 = 3.

Now substitute the values in (1)

$y-8 = \frac{(3-8)}{(- 2 - 0)}\times(x- 0)$

$y-8 = \frac{(- 5)}{(-2)}\times(x)$

$y-8 =\frac{5}{2}x$

2y – 16 = 5x

5x – 2y + 16 = 0

Hence, the line equation that passes through the given points is 5x – 2y + 16 = 0.

4 0

3 years ago

In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass bala

Maslowich

Answer:

H0: μd=0 Ha: μd≠0

t= 0.07607

On the basis of this we conclude that the mean weight differs between the two balances.

Step-by-step explanation:

The null and alternative hypotheses as

H0: μd=0 Ha: μd≠0

Significance level is set at ∝= 0.05

The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Specimen A B d = a - b d²

1 13.76 13.74 0.02 0.004

2 12.47 12.45 0.02 0.004

3 10.09 10.08 0.01 0.001

4 8.91 8.92 -0.01 0.001

5 13.57 13.54 0.03 0.009

d`= ∑d/n= 0.006/6= 0.001

sd²= 1/6( 0.0173- 0.006²/6) = 1/6 ( 0.017294) = 0.002882

sd= 0.05368

t= 0.001/ 0.05368/ √6

t= 0.18629/2.449

t= 0.07607

Since the calculated value of t= 0.07607 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the mean weight differs between the two balances.

3 0

3 years ago

Nigel borrows $250 and pays 5.5% simple interest each year. if he pays back the money in one year, what is the total amount that

ddd [48]

Answer: $263.75

Step-by-step explanation:

5.5= 0.055

250x.055=263.75

7 0

3 years ago

Read 2 more answers