MATHEMATICS COLLEGE

Ramona went to a theme park during spring break. She was there for 7 hours and rode 14 rides. At what rate did Ramona ride rides in rides per hour?

Answers

Answer 1

Answer:

Answer:

2 rides per hour

Step-by-step explanation:

This is a division problem since we would need to divide in order to answer the question.

Divide the amount of rides she rode to the number of hours she was there.

Input the numbers below:

amount of rides she rode/number of hours there

14/7=2

At this rate, Ramona rode 2 rides per hour.

Answer 2

Answer:

7÷14=0.5

14÷7=2

_________

it's one of them

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What is the probability that the average of four babies' weights will be within .6 pounds of the mean; will be between 8.4 and 9.6 pounds

Answers

The probability will be "0.7497".

Given:

Mean,

Standard deviation,

Number of babies,

The standard error of sample will be:

→ $S.E. = (sd)/(√(n) )$

$= (0.6)/(√(4) )$

$= (0.6)/(2)$

$= 0.3$

hence,

→ P(4 babies will be between 8.4 - 9.6 pounds)

$P(8.4 \leq X \leq 9.6) = (((8.4-9))/(0.3) \leq X \leq ((9.6-9))/(0.3) )$

$= P(-2 \leq X \leq 2)$

$= P(Z \leq 2) - P(Z \leq -2)$

$= 0.9772-0.2275$

$= 0.7497$

Thus the above response is right.

Learn more:

brainly.com/question/14008215

Complete question:

Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.

Answer: 0.7497

Step-by-step explanation:

Mean = 9

sd = 0.6

n = 4

P(4 babies will be between 8.4 and 9.6 pounds)

P(8.4 ≤ X ≤ 9.6)

Standard error of the sample (S. E) :

S. E = sd/√n

= 0.6 /√4

= 0.6/2

= 0.3

P(8.4 ≤ X ≤ 9.6)= ((P(8.4 - 9) / 0.3) ≤ X ≤ (9.6 - 9)/0.3)

P(8.4 ≤ X ≤ 9.6) = P(-2 ≤ X ≤ 2)

P(Z ≤ 2) - P(Z < - 2)

0.9772 - 0.2275 = 0.7497

4(4x - 2) = x + 4
asnwerplsssssssss

Answers

Answer:

4(4x - 2) = x + 4

16x - 8 = x + 4

15x = 12

x = 12/15 = 4/5

Answer:

x = 0.8

Step-by-step explanation:

4(4x - 2) = x + 4

16x - 8 = x + 4

16x - x = 4 + 8

15x = 12

x = 0.8

The sale price of an item is $330 after a 25% discount. What was the original price of the item?

Answers

Answer:

$440

Step-by-step explanation:

100%-25%=75%

75%=330

1%=330÷75=4.4

100%=100x4.4=440

Hope this helps! Thanks.

The some of three consecutive integer is 48. find the numbers

Answers

The awser is 13 + 14+ 15

At what x-values do the graphs of the functions y = cos 2x and y =3cos^2x-sin^2x intersect over the interval -pi

Answers

To find:

The x-values at the intersection of the graphs of two functions.

Solution:

Two functions are:

$y=\cos2x\text{ and }y=3\cos^2x-\sin^2x$

The functions are equal at the intersection. So,

$\cos2x=3\cos^2x-\sin^2x$

The solutions of the above equation are the x-values of the intersection.

$\begin{gathered} \cos2x=3\cos^2x-\sin^2x \n \cos^2x-\sin^2x=3\cos^2x-\sin^2x \n 2\cos^2x=0 \n \cos^2x=0 \n \cos x=0 \end{gathered}$

The solution to the above equation is:

$x=(\pi)/(2)+2\pi n\text{ and }x=(3\pi)/(2)+2\pi n$

It is given that x lies between -pi and pi. So, the value of n = 0 for the first solution and n = 1 for the second solution. Therefore,

$x=(\pi)/(2)\text{ and }x=-(\pi)/(2)$

Thus, options A and B are correct.

The bacteria in a petri dish culture are self duplicat

Answers

Answer:

Yes, the bacteria in the Petri dish culture *are* duplicating.

Step-by-step explanation:

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