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alina1380 [7]
3 years ago
14

PLEASE HELP HELPPPPPPO HELPPPPPPO

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

Step-by-step explanation:

Remember that in a linear function of the form f(x)=mx+b, m is the slope and b is the why intercept.

Part A. Since g(x)=2x+6, its slope is 2 and its y-intercept is 6

Now, to find the slope of f(x) we are using the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

From the table the first point is (-1, -12) and the second point is (0, -6)

Replacing values:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-6--(12)}{0-(-1)}

m=\frac{-6+12}{0+1}

m=6

The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).

Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table f(x)=-6 when x=0; therefore the y-intercept of f(x) is -6.

We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.

You might be interested in
The ratio of 4:8 is equivalent to x:6, what is the value of x?
Dimas [21]

Answer:

x = 3

Step-by-step explanation:

Given

4 : 8 = x : 6, expressing in ratio form, that is

\frac{4}{8} = \frac{x}{6} ( cross-  multiply )

8x = 24 ( divide both sides by 8 )

x = 3

Thus 4 : 8 = 3 : 6

6 0
3 years ago
Read 2 more answers
Julie had $20.00 in her pocket. She spent $7.40. About what percent of her money does she still have?
posledela

63%


First, we have to take 20.00 - 7.40 which gets us 12.60.


Then, we use the formula where we put the 12.60 on top of a fraction bar, and the 20.00 on bottom.

We do 12.60 x 100 which makes 1260.


Lastly, we divide that by the 20.00 which gets us 63.


So, Julie has 63% of her money left.


I hope this helped!!!

4 0
11 months ago
How much should Tabatha budget monthly for insurance that costs $956.89 for the entire year?
elixir [45]
$79.74083  is the answer hope i help you

i divided 956.89 in 12 so that was the answer
5 0
3 years ago
DUE IN 10 MINUTES. PLEASE HELP. WOULD BE VERY THANKFUL
Andrej [43]

Answer:

1. y = 36°

  a = 9.7

2. No.. wire H to P/Q is not a tangent

Step-by-step explanation:

see below

7 0
2 years ago
Time spent using​ e-mail per session is normally​ distributed, with mu equals 11 minutes and sigma equals 3 minutes. Assume that
liq [111]

Answer:

a) 0.259

b) 0.297

c) 0.497

Step-by-step explanation:

To solve this problem, it is important to know 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size 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 = 11, \sigma = 3

a. If you select a random sample of 25 ​sessions, what is the probability that the sample mean is between 10.8 and 11.2 ​minutes?

Here we have that n = 25, s = \frac{3}{\sqrt{25}} = 0.6

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

Z = \frac{11.2 - 11}{0.6}

Z = 0.33

Z = 0.33 has a pvalue of 0.6293.

X = 10.8

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

Z = \frac{10.8 - 11}{0.6}

Z = -0.33

Z = -0.33 has a pvalue of 0.3707.

0.6293 - 0.3707 = 0.2586

0.259 probability, rounded to three decimal places.

b. If you select a random sample of 25 ​sessions, what is the probability that the sample mean is between 10.5 and 11 ​minutes?

Subtraction of the pvalue of Z when X = 11 subtracted by the pvalue of Z when X = 10.5. So

X = 11

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

Z = \frac{11 - 11}{0.6}

Z = 0

Z = 0 has a pvalue of 0.5.

X = 10.5

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

Z = \frac{10.5 - 11}{0.6}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033.

0.5 - 0.2033 = 0.2967

0.297, rounded to three decimal places.

c. If you select a random sample of 100 ​sessions, what is the probability that the sample mean is between 10.8 and 11.2 ​minutes?

Here we have that n = 100, s = \frac{3}{\sqrt{100}} = 0.3

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

Z = \frac{11.2 - 11}{0.3}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486.

X = 10.8

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

Z = \frac{10.8 - 11}{0.3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

0.7486 - 0.2514 = 0.4972

0.497, rounded to three decimal places.

5 0
3 years ago
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