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mojhsa [17]
3 years ago
5

The time it takes to complete a test is

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0

Answer:

<h2>The z-score is -3.08, approximately.</h2>

Step-by-step explanation:

The z-score is defined

Z=\frac{x - \mu}{\sigma}

Where \mu is the mean, \sigma is the standard deviation and x the data value.

In this case, we have

x=8\\\mu = 45\\\sigma=12

Replacing values, we have

Z=\frac{8-45}{12}=\frac{-37}{12} \approx -3.08

Therefore, the z-score is -3.08, approximately.

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Caleb bought 5 packs of pencils for 10$ . how muc will he pay for 9 packs of pencils?
alexandr402 [8]

Step-by-step explanation:

Find 1 pack of pencil:

1 pack = 10 ÷ 5 = $2

9 packs = 2 x 9 = 18

Answer: $18

3 0
2 years ago
Rebekah put the bottom of a 12 foot ladder 5 feet from the side of a house what is the distance form the bottom of the house to
monitta

Answer:

13

Step-by-step explanation:

12^2 + 5^2 = c^2

144 + 25 = c^2

169 = c^2

13 = c

7 0
2 years ago
A cylidrical container of height 28cm and diameter of 18cm is with water. The water is then poured into another container with a
MAVERICK [17]

Answer:

23.9894949495cm is the depth of the container.

Step-by-step explanation:

Cylindrical container:

height: 28

radius: 9 (or 18/2)

pi * 9² = 254.4690049408

254.4690049408 * 28 = 7,125.1321383424 cm²

cylidrical container area: 7,125.1321383424cm²

Container:

length: 27cm

width: 11cm

27 * 11 = 297

7,125.1321383424 / 297 = 23.9894949495cm

I assume that the container with rectangular base is precisely full when tou pour the water into it.

And that your question was how deep the container was.

4 0
3 years ago
4b - 5 + (-a-3) i = 7 * 8i
Rudik [331]

Answer:

Simplifying

4b + -5 + (-1a + -3) * i = 7 + -8i

Reorder the terms:

4b + -5 + (-3 + -1a) * i = 7 + -8i

Reorder the terms for easier multiplication:

4b + -5 + i(-3 + -1a) = 7 + -8i

4b + -5 + (-3 * i + -1a * i) = 7 + -8i

Reorder the terms:

4b + -5 + (-1ai + -3i) = 7 + -8i

4b + -5 + (-1ai + -3i) = 7 + -8i

Reorder the terms:

-5 + -1ai + 4b + -3i = 7 + -8i

Solving

-5 + -1ai + 4b + -3i = 7 + -8i

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1ai + 4b + 5 + -3i = 7 + 5 + -8i

Reorder the terms:

-5 + 5 + -1ai + 4b + -3i = 7 + 5 + -8i

Combine like terms: -5 + 5 = 0

0 + -1ai + 4b + -3i = 7 + 5 + -8i

-1ai + 4b + -3i = 7 + 5 + -8i

Combine like terms: 7 + 5 = 12

-1ai + 4b + -3i = 12 + -8i

Add '-4b' to each side of the equation.

-1ai + 4b + -4b + -3i = 12 + -4b + -8i

Combine like terms: 4b + -4b = 0

-1ai + 0 + -3i = 12 + -4b + -8i

-1ai + -3i = 12 + -4b + -8i

Add '3i' to each side of the equation.

-1ai + -3i + 3i = 12 + -4b + -8i + 3i

Combine like terms: -3i + 3i = 0

-1ai + 0 = 12 + -4b + -8i + 3i

-1ai = 12 + -4b + -8i + 3i

Combine like terms: -8i + 3i = -5i

-1ai = 12 + -4b + -5i

Divide each side by '-1i'.

a = -12i-1 + 4bi-1 + 5

Simplifying

a = -12i-1 + 4bi-1 + 5

Reorder the terms:

a = 5 + 4bi-1 + -12i-1

4 0
2 years ago
Read 2 more answers
the ratio of men to women working for a company is 4 to 7 if there are 231 employees total how many women work for the company.
Dvinal [7]

Answer:

297

Step-by-step explanation:

8 0
2 years ago
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