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4 years ago

How do I solve this

Mathematics

1 answer:

labwork [276]4 years ago

7 0

Answer:

five and one fourth divided by three equals 1.75

$1.75

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Select the correct answer. Which point is a solution of x + 2y ≤ 4? A. (2, 4) B. (1, 1) C. (3, 5) D. (-1, 5)

stira [4]

Answer:

Step-by-step explanation:

Of you put the values of c and y from B in the equation, then the result is,

$1 + 2 \times 1 \leqslant 4 \\ 1 + 2 \leqslant 4 \\ 3 \leqslant 4$

here, 3 is less than 4, which is true.

But the result will come out as greater than 4 if you put other points in the equation, which is not true for the given condition.

6 0

3 years ago

Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon

Annette [7]

Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.

In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 90 grams, hence $\mu = 90$ .

The standard deviation is of 1 gram, hence $\sigma = 1$ .

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3}{1}$

$Z = 3$

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either weigh less than 87 grams or more than 93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

4 0

3 years ago

Half of Hillary’s friend, Jamiz’s fourth grade class is female. Including Jamiz, there are 14 girls in the class. How many stude

Yuri [45]

Including Jamiz, there are 14 girls in the class. If this if half of the total number of pupils (as half are girls, the other half being boys) the total number of students is 14 × 2 = 28 students

3 0

3 years ago

Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1

Sonbull [250]

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

-5 + 2y = -1

2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

8 0

2 years ago

Read 2 more answers

Devont had a handful of dimes and quarters in his pocket. He counted 41 coins and realized they were worth $7.55. Write and solv

MatroZZZ [7]

Answer:D:18 Q:23

Step-by-step explanation:

6 0

3 years ago