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3 years ago

Patrick drove 220 miles to his grandmothers house. The trip took him 4 2/5 hours. What is his average speed in miles per hour.

Mathematics

1 answer:

grigory [225]3 years ago

6 0

50mph hope it helps good luck

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If a normal distribution has a mean of 44 and a standard deviation of 8, what is the zscore for a value of 50

Misha Larkins [42]

Answer:

0.75

Step-by-step explanation:

Z-score tells the no. of standard deviations a data point is from the mean.

the formula for z score is given by

z-score= (data value - mean) / standard deviation

Given:

mean=44

standard deviation= 8

data point=50

putting the values of mean(44), standard deviation(8) and given data value(50) in the above equation

z-score= (50-44)/8

= 6/8

=0.75 !

5 0

3 years ago

If f(x)=7x+4x and g(x) =1/2x what is the value of (f/g)(5)

Aliun [14]

Answer:

(f/g)(5) = 22

Step-by-step explanation:

All we need to do is plug in 5 for x in both f(x) and g(x) then divide the result of f(x) and g(x) to find our final answer.

Step 1: Plug in 5 for x

f(x) = 7(5) + 4(5) = 55

g(x) = 1/2(5) = 2.5

Step 2: Divide f(x) by g(x)

f(5)/g(5) = 55/2.5 = 22

And we have our final answer!

4 0

3 years ago

function g is a transformation of the parent function f(x)=x^2 the graph of g is a translation right 2 and down 5units of the gr

Natali [406]

right 3 units down 5 units

$f(x)=x^2$

right 3 units = (3,0)

down 5 units = (0,-5)

vertex = (h,k) therefore.

$g(x)=(x-3)^2-5$

Then convert the vertex form into standard form for the equation in the choice.

$g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4$

Thus, the answer is B.

6 0

2 years ago

A fishing boat was out to sea for six months and traveled a total of 8,579 miles.In the first month the boat traveled 659 miles.

jeka57 [31]

<span>The fishing boat traveled (8579-659)=7920 miles during the remaining 5 months</span>

6 0

3 years ago

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

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

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

6 0

3 years ago