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Kipish [7]
2 years ago
9

What is the slope of the line that goes through the points (1,-5) and (4,1)

Mathematics
1 answer:
dem82 [27]2 years ago
5 0

Answer:

D. 2

Step-by-step explanation:

So you use the formula with is \frac{y_{1}-y_{2}}{x_{1}-x_{2}}. so you get (1 - -5)/(4-1). this gets you to 6/3 and you get 2

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The perimeter of a shape will always be greater in value than the area of the shape (ignoring the units) True or False
Xelga [282]

Answer:

false

Step-by-step explanation:

the are of a shape will always be greater than the perimeter

5 0
2 years ago
The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation
mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = \mu = 69

Standard deviation = \sigma = 7

Formula : z=\frac{x-\mu}{\sigma}

Now At x = 55

z=\frac{55-69}{7}

z=-2

At x = 76

z=\frac{76-69}{7}

z=1

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = 0.8185 \times 100 = 81.85\%

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0
2 years ago
Paolo Portraits charges $15 per photo with no sitting fee. The graph shows the fees for clear image studio.Compare the functions
liubo4ka [24]

Answer:

The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.

Step-by-step explanation:

The rate of change represent the change in one variable with respect to another variable. It also known as slope.

It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.

The function for Paolo Portraits charges is defined as

f(x)=15x

From the given graph it is noticed that the line is passing through the points  (0,0) and (1,12).

The slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12

The function for clear image studio is

g(x)=12x

It means the rate of change of clear image studio is $12 per photo.

The rate of change of Paolo Portraits is more than rate of change of clear image studio.

Therefore Paolo Portraits charges are higher than the clear image studio.

3 0
3 years ago
What is the image of (0,-8)(0,−8) after a reflection over the line y=-xy=−x?
AnnZ [28]

Answer:

(8, 0 )

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(0, - 8 ) → (8, 0 )

5 0
1 year ago
a right triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches. what is the length of the ot
crimeas [40]
The length of the other leg is 14.4
8 0
3 years ago
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