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3 years ago

If a competitive bike rider averages 14 miles per hour for a 4 4 5 hour long race, how far will they travel during that time?

Mathematics

2 answers:

saw5 [17]3 years ago

4 0

Answer: about 20 miles per hour

Step-by-step explanation:

Snezhnost [94]3 years ago

4 0

Answer:

he would go about 20 miles per hour

Step-by-step explanation:

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Graph the function.

liubo4ka [24]

The answer is totally D

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2 years ago

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54% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

Liula [17]

Answer:

$P(5)=0.238$

$P(x\geq 6)=0.478$

$P(x$

Step-by-step explanation:

In this case we can calculate the probability using the binomial probability formula

$P(X=x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}$

Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.

(a) exactly five

This is:

$x=5,\ n=10,\ p=0.54.$

So:

$P(X=5)=\frac{10!}{5!(10-5)!}*0.54^x*(1-0.54)^{10-5}$

$P(5)=0.238$

(b) at least six

This is: $x\geq 6,\ n=10,\ p=0.54.$

$P(x\geq 6)=P(6) + P(7)+P(8)+P(9) + P(10)$

$P(x\geq 6)=0.478$

(c) less than four

This is: $x< 4,\ n=10,\ p=0.54.$

$P(x$

8 0

3 years ago

Read 2 more answers

A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) = 22.9P+7$ .
The inverse function is: $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ .
A practical domain is from 0% to 100%
A practical range is from 7 to 29.9

A. Input quantity

The input quantity is the percentage of frozen citrus crop

B. Output quantity

The output quantity is the cost of box of oranges

C. The linear function

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

Calculate the slope of the function

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The linear equation is calculated as follows:

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

D. Rewrite as y = mx + b

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

The function is:

$g(P) = 22.9P+7$

E. A practical domain

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

F. A practical range

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

H. The inverse formula

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

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6 0

2 years ago

Which amount is the greatest

den301095 [7]

10 quarts is the greatest about becuase it is equal to 40 cups.

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3 years ago

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Match each system to the correct choice.

pogonyaev

Answer:

Option A - Neither. Lines intersect but are not perpendicular. One Solution.

Option B - Lines are equivalent. Infinitely many solutions

Option C - Lines are perpendicular. Only one solution

Option D - Lines are parallel. No solution

Step-by-step explanation:

The slope equation is known as;

y = mx + c

Where m is slope and c is intercept.

Now, two lines are parallel if their slopes are equal.

Looking at the options;

Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.

Thus,the lines are parrallel, no solution.

Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.

Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.

Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.

Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.

Option B falls into this category.

8 0

2 years ago