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vagabundo [1.1K]
3 years ago
8

Helpp!!!!!!!Plz.....

Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

Answer:

MJK=90

MJL=63

JLK=63

KML=27

MNL=126

Step-by-step explanation:

If this is a perfect rectangle, then I should be correct:

Each angle of a rectangle is 90 degrees, so MJK is 90

Since we know angle KJL is 27, and MJK is 90, just subtract them to get 63.

Angle JLK should be equal to angle MJL so it is also 63

Angle KML should be equal to angle KJL so it would also be 27

And finally, angle JKN should be 27 so 27+27=54. And since all angles of a triangle add up to 180, you can get angle MNL by subtracting 180-54 to get 126 because angle MNL and JNK/KNJ are equal to each other

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Simplify the expression to a + bi form:<br> (12-6i)-(7+8i)<br> (12−6i)−(7+8i)
Karo-lina-s [1.5K]

Answer:

5-14i

Step-by-step explanation:

(12-6i)-(7+8i)\\\\12-6i-7-8i\\\\5-14i

8 0
2 years ago
Need some assistance lovely’s
Sladkaya [172]

Answer:

60

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+x+x = 180

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Divide by 3

3x/3=180/3

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3 years ago
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How many more games must Leon play in order to score at least 117 points .
kipiarov [429]

Answer:

how many does he have???

Step-by-step explanation:


8 0
3 years ago
during the first round of game show, jackson scored 300 points. After the second round,after the second round, his total score w
mrs_skeptik [129]

Answer:

-600

Step-by-step explanation:

Jackson's initial score was 300, then his later score became -300, so you know that he had to lose points.

-300=300+x

** x represents the point change

Then just solve the equation by getting x by itself. You do this by subtracting 300 from both sides:

-300=300+x

-300 -300 = -300-300+x

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4 0
3 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
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