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DIA [1.3K]
3 years ago
15

Z=-4x-2y, solve for x

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer:

Step-by-step explanation:

Z=-4x-2y

Making x as subject

4x = -2y - z

Dividing by 4

4x/4 = (-2y - z)/4

x = (-2y - z)/4

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An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est
nirvana33 [79]

Answer:

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.99, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{4.1}{\sqrt{840}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 40.6 - 0.2 = 40.4 words per minute.

The upper end of the interval is the sample mean added to M. So it is 40.6 + 0.2 = 40.8 words per minute.

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

3 0
4 years ago
Is it possible to make a triangle with measure of 3mm 9mm and 5mm​
tatyana61 [14]

Answer: No

Step-by-step explanation: if you mean the measure of a is 3, the measure of b is 9 and the measure of c is 5, c being the hypotenuse then the answer is no because the the sides of a and b must be less than the measure of c. If 5 wasn’t the hypotenuse then the answer would be different.

(KEEP IN MIND THAT IF 9 IS THE HYPOTENUSE THEN THE ANSWER IS YES)

Hope this helps! :)

4 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPP
Vesna [10]

Answer:

Angles

Step-by-step explanation:

A polygon is a shape, I don't think there are conversions since a polygon is not something you can measure. A population can be counted with normal numbers, 1,2,3... density is calculated with mass and volume, not radians and degrees.... yeah.

Angles are measured in radians and degrees, so it's angles.

5 0
2 years ago
Read 2 more answers
A multiple choice test has five questions each with five choices for the answer. what is the probability of getting all 5 right
blsea [12.9K]
The probability of getting all 5 right would be 1/<span>3125

This is because each question has one choice. Making it a 1/5 chance for each question. 

Now if you combine if you add the rest you will have to calculate.

You would do the calculation by multiple the chance for a correct answer for each question together.

1/5 x 1/5 x 1/5 x 1/5 x 1/5 = 1/3125

I hope this helped!</span>
3 0
3 years ago
Read 2 more answers
Hi.
ZanzabumX [31]

Answer:  48) D. 4        49) C. N1.40

<u>Step-by-step explanation:</u>

A $2 postal money order actually costs $2.15

$10.00 ÷ $2.15 = 4.65

Since you can't purchase a fraction of a money order, the most you can buy is 4

4 money orders will cost  $2.15 × 4 = $8.60

The change from $10.00 will be  $10.00 - $8.60 = $1.40

8 0
3 years ago
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