I need help on this problem.

Heath has 100 trading cards. 7/100 of his card collection is football cards and 7/10 is baseball cards. Together the football an

Alina [70]

Answer:

Together the football and baseball cards make up 77/100 of Heath's card collection.

Step-by-step explanation:

First, you compute the fractions (sorry, I can't think of the right word) so that they have the same denominator. 7/100 = 7/100, and 7/10 = 70/100. Now you're able to add them. 7/100 + 70/100 = 77/100. This fraction is already in simplest form, so there's no need to simplify. Therefore, together the football and baseball cards make up 77/100 of Heath's card collection.

7 0

3 years ago

Please help on this one? :)

Debora [2.8K]

The answer is A, C, and D.
If you look at the y values column, you'll notice two spots in the chart where there are 0s for the y value.
Since, in those cases, the numbers only exist on the x-axis, there are called x-intercepts.
You'll also notice that the y-values decrease, meaning that the chart goes down from x=-4 to x=0.
Finally, you'll notice an odd sort of pattern, like the values are a mirror of each other, in between 0 and 1. This means there is a line of symmetry at x= 0.5

4 0

4 years ago

Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leave

Sliva [168]

Davie will take 80/20= 4 hours to finish the tour. Horatio has only 2 and 1/2 hours to cover the same 80 miles. (80)/(2.5)= 32 miles per hour.

3 0

4 years ago

Read 2 more answers

B / 6 = 3<br><br> b = ?<br><br> i honestly have a lot of problems to do..

postnew [5]

Answer:

2

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75

KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean:

$\mu = 47$

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

$4\sigma = 75 - 19$

$4\sigma = 56$

$\sigma = \frac{56}{4} = 14$

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

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

$Z = \frac{25 - 47}{14}$

$Z = -1.57$

$Z = -1.57$ has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

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

$Z = \frac{60 - 47}{14}$

$Z = 0.93$

$Z = 0.93$ has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

3 0

3 years ago