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3 years ago

Rewrite the set P by listing its elements p={z|z is an integer 2≤z<5}

Mathematics

1 answer:

leva [86]3 years ago

7 0

Given that z is an integer, equal or greater than 2 and not equal to 5.

P = {2, 3, 4}

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Sophie pays m dollars to rent a car for the weekend on the drive home she buys $45 worth of gasoline her friend melody pays for

Hoochie [10]

Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

1/2m + 45

4 0

3 years ago

n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha

Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P(printing speed of the sample is greater than 17.99 ppm.)

P(x > 17.99)

$P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)$

Calculating the value from the standard normal table we have,

$1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%$

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

8 0

3 years ago

The height of a trapezium of area 162 cm^2 is 6cm. if one of the base is 23 cm. find the other

Luden [163]

Answer:

31 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the height and a, b the bases

Here A = 162, h = 6 and a = 23 , then

$\frac{1}{2}$ × 6 (23 + b) = 162

3(23 + b) = 162 ( divide both sides by 3 )

23 + b = 54 ( subtract 23 from both sides )

b = 31

The other base is 31 cm

6 0

2 years ago

-4h - 6 = 22 what does h equal

daser333 [38]

-4h -6 = 22
To solve this, we need to get -4h by itself and then simplify.
-4h -6 = 22
Add 6 to both sides.
-4h = 28
Divide both sides by -4.
h = -7.

I hope this helps!

8 0

3 years ago

What is the lcm of 9 12 and 18

Luda [366]

The LCM for this is 3.

8 0

3 years ago

Read 2 more answers