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3 years ago

The graph of a line gets what as the value of the slope gets bigger

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

Answer:

Steeper

Step-by-step explanation:

As the slope of the line increases in value, the vertical distance becomes greater compared to the horizontal distance. Like in stairs or a roof, this results in the stairs and roof becoming steeper. The line becomes more vertical and steeper in its slant.

vivado [14]3 years ago

7 0

<h2>Answer:</h2>

The graph of a line gets Steeper as the value of the slope gets bigger.

<h2>Step-by-step explanation:</h2>

We know that the general equation of a line in a slope-intercept form is given by:

$y=mx+c$

where m is the slope of the line and c is the y-intercept of the line.

Also, if the modulus of slope i.e. |m| is maximum then the line is most steep.

and if |m| is least then the line is least steep.

Hence, with the increasing value of slope the modulus of slope also increases and the line becomes more steep.

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The formula of the triagle

Feliz [49]

a+b+c divided by 2 :))))

7 0

3 years ago

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0

3 years ago

PLEASE HELPPP!!!! Will give brainiest!!!!

Lady_Fox [76]

Answer:

0.008 °C

Explanation:

<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>

<u />

1.34 °C

- 5 / 7 °C

- 0.75 °C

4/9 ° C

<u />

<u>2) Write the expression to show the average daily change in temperature.</u>

The average of a set of data is calculated with the expression:

Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

Average = [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

<u>3) Write the steps to solve the expression:</u>

You can choose between adding fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

<u>a. Find the decimal forms of the fractions:</u>

- 5/7 ≈ 0.71428

4 /9 ≈ 0.44444

1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

<u />

<u>c. Divide the sum by the number of data (4)</u>

0.32019 °C / 4 ≈ 0.080004 °C

<u>4. Round to the nearest hundredth</u>

The place of the hundreth is the second after the decimal point, which is 8 in this case:

0.080004 °C ≈ 0.08 °C

7 0

2 years ago

Alekssandra [29.7K]

Answer:

distributive proper

Step-by-step explanation:

mulitiply

7 0

2 years ago

A 12-foot ladder is leaning against a building with the base of the ladder 5 feet from the building. How can you find how high o

8090 [49]

Answer:

use the therom of pythagoras

5 0

3 years ago