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Ahat [919]
3 years ago
7

Construct an accurate copy of triangle DEF. Check that EF = 4.6 cm. ​

Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

Angles on a straight line add up to 180°

Therefore, the interior angle D of the triangle = 180 - 150 = 30°

Draw a horizontal line of 8 cm - label DE.

Measure an angle of 30° from point D and draw a line.

Measure an angle of 90° from point E and draw a line.

These 2 lines will intersect at point F.

Erase the part of the lines that extend past the point of intersection.

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PLEASE SAY IF THE NUMBERS ARE RATIONAL OR IRRATIONAL. PLEASE NO LINKS.
Annette [7]

Answer:

i think the third one and the last box is rational and the other one are not

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HELP ME PLEASE IT¨s MATH
Arlecino [84]

Answer:

V=πr^2h

pi = 3.14

r = 2

r^2 = 4

h = 10

Multiply all the numbers to get the volume.

Or use the formula.

V = 3.14*4*10

V = 125.6 cubic inches

5 0
3 years ago
Jarell Tarver invested $20,000 in the Boyd Kern Mutual Fund (Type A). The net asset value is $21.34 per share. The fund is front
fgiga [73]

Answer:

Ok To tell the truth My honest answer is 20026.59

Step-by-step explanation:

I say this because at the end it says how Many shares di Jarrell purchased so you suppose to add so 20,000 then 21.34 then do 5.25 so that's how u got that answer I hope that's correct I'm sorry if it's not I'm not a big fan of math I believe in you tho

6 0
2 years ago
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees ba
blsea [12.9K]

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

H_0: \mu_1 - \mu_2 = 0

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

H_1: \mu_1 - \mu_2 \neq 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

From the two samples:

X = \mu_1 - \mu_2 = 1276 - 1439 = -163

s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-163 - 0}{77.3144}

z = -2.11

The test statistic is z = -2.11.

7 0
3 years ago
Which sequence is represented by = 10 − 29 where x represents the term number and y represents the term?
lina2011 [118]

Answer:

X = 18

Step-by-step explanation:

Question: The sum of three numbers in order is 57. the equation that represents this is x (x 1) (x 2) = 57. which value of x from the set {16, 17, 18, 19} makes the equation true?

Answer: First you can use the equation to work out the value of x.

x + (x + 1) + (x + 2) = 57

Simplify the equation.

3x + 3 = 57.

Now solve the equation.

57 - 3 = 54

54/3 = 18

In short, The value of x is 18.

7 0
3 years ago
Read 2 more answers
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