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zepelin [54]
2 years ago
6

The yellow rose taxi service charges $1.75 per passenger and $2.25 per mile for a ride . How much will the yellow rose taxi serv

ice charge a group of passengers to ride 18 miles
Mathematics
1 answer:
Ann [662]2 years ago
5 0

Answer:

$40.50 for the miles and 1.75 x P (passangers)

Step-by-step explanation:

Since $2.25 is the fee for miles, 2.25 x 18 = $40.50

and since it depends on the group, ima say its probably 3, the passenger fee would be $5.25

that would add up to about $45.75

but if there is a different amount of passengers, just multiply it by $1.75 then add it to $40.50!

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In a study of exercise, a large group of male runners walk on a treadmill for six minutes. Their heart rates in beats per minute
Vera_Pavlovna [14]

Answer:

a) 1.88% percent of the runners have heart rates above 130.

b) 50% percent of the nomrunners have heart rates above 130.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) What percent of the runners have heart rates above 130?

In a study of exercise, a large group of male runners walk on a treadmill for six minutes. Their heart rates in beats per minute at the end vary from runner to runner according to the N(104,12.5) distribution. This means that \mu = 104, \sigma = 12.5.

This percentage is 1 subtracted by the pvalue of Z when X = 130.

Z = \frac{X - \mu}{\sigma}

Z = \frac{130 - 104}{12.5}

Z = 2.08

Z = 2.08 has a pvalue of 0.9812.

This means that 1-0.9812 = 0.0188 = 1.88% percent of the runners have heart rates above 130.

(b) What percent of the nonrunners have heart rates above 130?

The heart rates for male nonrunners after the same exercise have the N(130, 17) distribution. This means that \mu = 130, \sigma = 17.

This percentage is 1 subtracted by the pvalue of Z when X = 130.

Z = \frac{X - \mu}{\sigma}

Z = \frac{130 - 130}{17}

Z = 0.00

Z = 0.00 has a pvalue of 0.5000.

This means that 1-0.50 = 0.50 = 50% percent of the nomrunners have heart rates above 130.

4 0
2 years ago
Coordinates, gradient and tangent work (see image).
Ivenika [448]

Answer:

a) P(x,2x^2-5),\ Q(x+h,2(x+h)^2-5)

b) 4x+2h

c) 4x

Step-by-step explanation:

Given the curve

y=2x^2-5

a) If the x-coordinate of P is x, then the y-coordinate is 2x^2-5, so point P has coordinates (x,2x^2-5)

If the x-coordinate of Q is x+h, then the y-coordinate is 2(x+h)^2-5 so point Q has coordinates (x+h,2(x+h)^2-5)

b) The gradient of the secant RQ is

\dfrac{y_Q-y_P}{x_Q-x_P}\\ \\=\dfrac{(2(x+h)^2-5)-(2x^2-5)}{(x+h)-x}\\ \\=\dfrac{2(x+h)^2-5-x^2+5}{x+h-x}\\ \\=\dfrac{2(x+h)^2-2x^2}{h}\\ \\=\dfrac{2x^2+4xh+2h^2-2x^2}{h}\\ \\=\dfrac{4xh+2h^2}{h}\\ \\=4x+2h

c) If h\rightarrow 0, then the gradient 4x+2h\rightarrow 4x

5 0
1 year ago
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 an
Tju [1.3M]
Answer:

7 cups of flour

reason:

to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6

(I may be wrong this is just how I did it)
3 0
2 years ago
Read 2 more answers
Emma's square patio below has been area=31 sq ft. She decides to decrease one dimension by 1 foot and decreases the other dimens
Andreas93 [3]

Answer:

4.57ft  by 1.57 ft

Step-by-step explanation:

We are given that

Emma's square patio has been area=31 sq.ft

One dimension decrease by 1 foot and other dimension decrease by 4 feet.

We have to find the new dimensions of Emma's patio.

Let x be the side of Emma's square patio

We know that

Area of square=x^2

x^2=31

x=\sqrt{31}=5.57 ft

One dimension=5.57-1=4.57 ft

other dimension=5.57-4=1.57 ft

Hence, the new dimension of Emma's patio is given by

4.57ft  by 1.57 ft

5 0
2 years ago
Lamark goes to a bowling alley to test his belief that rolling a bowling ball slowly will result in knocking down more pins. He
jolli1 [7]

Answer: Ball's kinetic energy became potential energy

Step-by-step explanation:

There are no options attached but this should be along the lines of what happened.

Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.

The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.

3 0
2 years ago
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