All categories

2 years ago

Ivory created a scaled copy of rectangle A.

Mathematics

1 answer:

9966 [12]2 years ago

8 0

The scale factor that Ivory used to create their scaled copy is;

Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.

From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals

Now, from the image, we are told that the area of the scaled copy is 48 square units.

What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.

Now, if one interval of the graph is x-units, then it means;

length; y-axis = 3x units

width; x-axis = x units

Area of a rectangle is given by;

Area = Length × width

Thus;

3x * x = 48

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

Thus, 1 interval on the graph represents 4 units of the rectangle.

Read more at; brainly.com/question/17182684

You might be interested in

The scores on the GMAT entrance exam at an MBA program in the Central Valley of California are normally distributed with a mean

Kaylis [27]

Answer:

58.32% probability that a randomly selected application will report a GMAT score of less than 600

93.51% probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600

98.38% probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 591, \sigma = 42$

What is the probability that a randomly selected application will report a GMAT score of less than 600?

This is the pvalue of Z when X = 600. So

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

$Z = \frac{600 - 591}{42}$

$Z = 0.21$

$Z = 0.21$ has a pvalue of 0.5832

58.32% probability that a randomly selected application will report a GMAT score of less than 600

What is the probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600?

Now we have $n = 50, s = \frac{42}{\sqrt{50}} = 5.94$

This is the pvalue of Z when X = 600. So

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

$Z = \frac{600 - 591}{5.94}$

$Z = 1.515$

$Z = 1.515$ has a pvalue of 0.9351

93.51% probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600

What is the probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600?

Now we have $n = 50, s = \frac{42}{\sqrt{100}} = 4.2$

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

$Z = \frac{600 - 591}{4.2}$

$Z = 2.14$

$Z = 2.14$ has a pvalue of 0.9838

98.38% probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600

8 0

3 years ago

Please help with this question, thank you :)

vovikov84 [41]

Answer:

1/2

((-2)^2-(4*2)^1/3)/abs(-2*2)

-2^2 = 4

4*2 = 8

-2*2 = -4 and abs of that is 4

4-(8)^1/3/4

8^1/3 = 2

4-2 = 2

2/4 = 1/2

Step-by-step explanation:

4 0

2 years ago

How to do this and whats the answer

Vinvika [58]

Answer:

(b) 36 degrees.

Step-by-step explanation:

K is the center of the circle so triangle KMN is isosceles and m < KMN = m KNM = 26 degrees ( base angles are equal)

So m < LMK = m <LMN - m < KMN

= 98 - 26

= 72 degrees.

Now triangle LKM is also isosceles since K is the center of the circle so

m < LKM = 180 - 2* 72

= 180 - 144

= 36 degrees.

4 0

3 years ago

What is the value of <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B100%20%5Ctimes%204%7D%20" id="TexFormula1" title=" \sqrt{

Pavel [41]

Answer: 20

explanation: simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers

3 0

3 years ago

Read 2 more answers

Cindy pics six times as many apples as Mary John pick eight times as many apples as Mary together they picked 135 apples how man

spin [16.1K]

Answer:

126 apples

Step-by-step explanation:

Let the number of apples picked by Mary=m

Cindy picks 6 times as many as Mary= 6Xm=6m

John picks 8 times as many as Mary= 8Xm=8m

Altogether they picked a total of 135 apples.

m+6m+8m=135

15m=135

m=135/15

m=9

We want to determine how many apples John and Cindy Picked.

John Picked 6m apples

Cindy Picked 8m apples

Their combined total= 6m+8m =14m

Since m=9

14m =14 X9 =126 apples

John and Cindy picked a total of 126 apples

3 0

3 years ago