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fenix001 [56]
3 years ago
15

Please answer the question in the pictures.

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

1. Alternate exterior angles

2. Vertical angles

3. Alternate interior angles

Hope that helped :)

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Mary is a scientist. Using a microscope, she looks at a salt crystal and discovers it is shaped like a cube. Each square face ha
Illusion [34]

Answer: You need to grap a square where each side has 10 units in the grid.

Step-by-step explanation:

We know that each square has a side lenght of 0.1mm

Each unit in the grid represents 0.01mm

Then 10 units in the grid will represent 10*0.01 mm = 0.1mm.

Then the square face will be writen a square with a lenght of 10 units.

6 0
3 years ago
The breaking strengths of cables produced by a certain manufacturer have a mean, , of pounds, and a standard deviation of pounds
olchik [2.2K]

The question is incomplete. The complete question is :

The breaking strengths of cables produced by a certain manufacturer have a mean of 1900 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 150 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1902 pounds. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the mean breaking strength has increased?

Solution :

Given data :

Mean, μ = 1900

Standard deviation, σ = 65

Sample size, n = 150

Sample mean, $\overline x$ = 1902

Level of significance = 0.01

The hypothesis are :

$H_0 : \mu = 1900$

$H_1 : \mu > 1900$

Test statics :

We use the z test as the sample size is large and we know the population standard deviation.

$z=\frac{\overline x - \mu}{\sigma / \sqrt{n}}$

$z=\frac{1902-1900}{65 / \sqrt{150}}$

$z=\frac{2}{5.30723}$

$z=0.38$

Finding the p-value:

P-value = P(Z > z)

             = P(Z > 0.38)

             = 1 - P(Z < 0.38)

From the z table. we get

P(Z < 0.38) = 0.6480

Therefore,

P-value = 1 - P(Z < 0.38)

            = 1 - 0.6480

             = 0.3520

Decision :

If the p value is less than 0.01, then we reject the H_0, otherwise we fail to reject  H_0.

Since the value of p = 0.3520 > 0.01, the level of significance, then we fail to reject  H_0.

Conclusion :

At a significance level of 0.01, we have no sufficient evidence to support that the mean breaking strength has increased.

4 0
2 years ago
What is the solution of the following system?
yuradex [85]

Given system:

-2x-y=1 ....................(1)

-4x-2y=-1 ..................(2)

2*(1) -(2)

-4x-2y +4x+2y = 2-(-1)

0=3   => there is no solution because the two lines (equations) are parallel and distinct (never meet), so no solution.

4 0
3 years ago
Write the equation in POINT-SLOPE FORM of the line that passes through the points (4, 0) and (-2, 1).
Neporo4naja [7]
Slope = (1-0)/(-2-4) = -1/6

<span>POINT-SLOPE equation
y - 0 = -1/6(x - 4)

hope it helps</span>
3 0
3 years ago
Where does the length of day remain the same throughout the year?
djyliett [7]
Due to the inclination of the terrestrial axis, the day has different duration in several points of the planet, which also depends on the time of year. However, this duration remains the same throughout the year in the Equator, which is known as the imaginary line that divides the planet in two hemispheres: Northern Hemisphere and Southern Hemisphere.
8 0
3 years ago
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