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3 years ago

Anyone have any idea what the answer could be?

Mathematics

1 answer:

DaniilM [7]3 years ago

5 0

Answer:

y = -1/4x -1

Step-by-step explanation:

Mathematically, we have the slope intercept form as;

y = mx + b

where m is the slope and b is the y-intercept

from the question;

m is -1/4

So we have :

y = -1/4x + b

To get the value of b, we substitute the coordinates given and solve for b

Firstly, multiply through by 4

That will

give ;

4y = -x + 4b

4(-4) = -12 + 4b

-16 = -12 + 4b

-16 + 12 = 4b

4b = -4

b = -4/4

b = -1

So the equation in the slope intercept form is;

y = -1/4x -1

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an art teacher has a roll of mural paper that is 5 meters long. she needs to cut it into 1- decimeter long pieces for a collage

lutik1710 [3]

50 1-decimeter pieces

7 0

3 years ago

A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa

Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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 distributied random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974$

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

$0.643 = \frac{X - 220}{2.1974}$

$X - 220 = 0.643*2.1974$

$X = 221.41$

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

$-0.643 = \frac{X - 220}{2.1974}$

$X - 220 = -0.643*2.1974$

$X = 218.59$

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0

3 years ago

No work just an answer

Paladinen [302]

Answer:

437.4m

Step-by-step explanation:

1 cm = 4.5m

7.2x4.5=32.4

3x4.5=13.5

32.4x13.5 = 437.4m

3 0

3 years ago

Use the graph to determine the domain and range of the relation, and whether the relation is a function.

Westkost [7]

Answer:

Step-by-step explanation:

We can use vertical line test to determine if a relation is a function.

<em>If a vertical line passes the graph at any point only once, then the relation is a function, if there is even 1 line that passes the graph at 2 points, then it is NOT a function.</em>

<em />

The domain is the set of allowed x-values of the function. The range is the set of allowed y-values of the function.

Looking at the graph, we see that there are a lot of vertical lines that cuts the graph two times. Suppose x=3, x=4, x= 5 etc. So it is not a function.
As for domain, we see that curve swings from x = -8 to x = 8, so the domain is from -8 to 8.
As for range, we that the curve stretches all the way from negative infinity to positive infinity, so the range is the set of all real numbers.

Correct answer is A

5 0

3 years ago

Which shows the graph of the solution set of 2x+3y≤6?

mel-nik [20]

Answer:

Option (a) is correct.

Step-by-step explanation:

Given : equation 2x + 3y ≤ 6

We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6

Consider the given equation 2x + 3y ≤ 6

We first find the points where the equation cut x- axis and y-axis.

Thus,

For x - axis put y = 0 ,

We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3

Thus, point (3,0)

For y - axis put x = 0 ,

We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2

Thus, point (0,2)

For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.

Consider the point (0, 0) , then inequality becomes,

2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)

Hence, region below the line will be considered.

Thus, Option (a) is correct.

6 0

3 years ago

Read 2 more answers