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2 years ago

If K = {(x, y)|x - y = 5}, find the corresponding range of y for the domain {0, 2, 4}

Mathematics

1 answer:

denis23 [38]2 years ago

5 0

X - y = 5
y = x - 5

For domain {0, 2, 4}, range = {0 - 5, 2 - 5, 4 - 5} = {-5, -3, -1}

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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

The sum of two times x and one is at least 11. Write this word sentence as an inequality

Aneli [31]

Answer:

2x + 1 ≥ 11

Step-by-step explanation:

I believe this is it. Hope this helped!

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3 years ago

How much money did tommys class collect

Anastaziya [24]

B. 7.50 is the answer

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3 years ago

14) The perimeter of this isosceles triangle is represented by the

Galina-37 [17]

The isosceles triangle is missing so i have attached it.

Answer:

Length of unknown side = 5p + 6

Step-by-step explanation:

In isosceles triangle, two of the sides are equal. In the attached triangle, we see that one of the equal sides is given as 5p + 3.

Thus,the second equal side is also 5p + 3.

Now, perimeter of a triangle is the sum of the three sides.

We have two sides and let the third side be denoted as x.

Thus;

Perimeter = (5p + 3) + (5p + 3) + x

We are given perimeter = 15p + 12

Thus;

(5p + 3) + (5p + 3) + x = 15p + 12

10p + 6 + x = 15p + 12

Rearranging, we have;

x = 15p - 10p + 12 - 6

x = 5p + 6

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3 years ago

Here’s a graph of a linear function. Write the equation that describes that function

inessss [21]

Answer:

The equation of the line is y = 1/4x - 4

Step-by-step explanation:

In order to find this, start with two points that are on the line. We'll use (0, -4) and (4, -3). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - -3)/(0 - 4)

m = -1/-4

m = 1/4

Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.

y - y1 = m(x - x1)

y - -4 = 1/4(x - 0)

y + 4 = 1/4x

y = 1/4x - 4

8 0

3 years ago