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3 years ago

1 and 3/4 as an improper fraction

2 answers:

5 0

It’s 7/4 because you multiply the whole number and the denominator together and add the product to the numerator. So 1 * 4 = 4 + 3 = 7/4.

expeople1 [14]3 years ago

3 0

7/4 you do this because, for example you can think of it like pizza and pizza slices. You have 1 pizza and 3/4 of a pizza, let’s say each slice is 1/4 of a pizza. How many slices do you have altogether? Seven. You can also think of 1 as 4/4, so the just add 3/4 + 4/4 (which is technically just 3+4) = 7/4

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The graph of y = sqrt x is translated. The translation is defined by (x,y) + (x-3,y +1). Which is the graph of the translated im

Nuetrik [128]

The resulting function will have a function f(x) = √x-3 -1

<h3>Translation of coordinates</h3>

Translations is a transformation technique that changes the position of an object from one point on the plane to another.

Given the function below

y = √x

If the translated technique below is applied (x,y) -> (x-3,y +1), the resulting function is given as:

y+1 = √x-3

Subtract 1 from both sides

y + 1 - 1 = √x-3 - 1

y = √x-3 -1

Hence the resulting function will have a function f(x) = √x-3 -1

Learn more on translation here: brainly.com/question/12861087

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4 0

2 years ago

you help a teacher move books. the math books weigh 3 pounds each. the science books weigh 4 pounds each. you can carry 24 pound

Radda [10]

Answer:

see the attachment for a graph
yes, you can carry 5 math books in one load (along with 0–2 science books)

Step-by-step explanation:

If x and y represent the number of math and science books you're carrying, respectively, then 3x and 4y represent their weights in pounds.

The total weight of the carry will be 3x+4y, and you want that to be at most 24 pounds. The expression modeling this is ...

... 3x +4y ≤ 24

A graph of this inequality is shown in the attachment. (We have added the constraints that the number of books not be negative.)

___

5 math books will weigh 5·3 = 15 pounds, so will be within the limit you can carry.

3 0

4 years ago

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

$2.96 = \frac{X - 61}{8}$