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3 years ago

Store A Sells a set for $26 and offers a 15% discount

Mathematics

2 answers:

IgorLugansk [536]3 years ago

6 0

Answer:

$22.10

Step-by-step explanation:

First you would multiply 26 by .15, which represents 15%, or 15/100. After you multiply, you will get 3.9. 3.9 represents the discount of the price. Since it is a discount, you suntract 3.9 from 26, and you get 22.1.

artcher [175]3 years ago

3 0

Answer:

Step-by-step explanation:

20% of $1200 is $240

(0.2∗1200)=$240

Now subtract that number from 1200

1200−240=$960

try this example

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One year Roger had the lowest ERAâ€‹ (earned-run average, mean number of runs yielded per nine inningsâ€‹ pitched) of any male p

baherus [9]

Answer:

(a) The z-score of Roger is -1.56 and the z-score of Amber is -1.13.

(b) Roger had a better year relative to his peers.

Step-by-step explanation:

If X follows N (µ, σ₂), then $z=\frac{x-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z follows N (0, 1).

Let X = ERA of male pitchers and Y = ERA of ERA of female pitchers.

It is provided that the mean and standard deviation of X are:

$\mu_{X}=4.371\\\sigma_{X}=0.787$

Also, the mean and standard deviation of Y are:

$\mu_{Y}=4.363\\\sigma_{Y}=0.869$

ER of Roger is 3.14 and ERA of Amber is 3.38.

(1)

Compute the z-score of Roger as follows:

$z=\frac{x-\mu_{X}}{\sigma_{X}}=\frac{3.14-4.371}{0.787}=-1.56$

Thus, the z-score of Roger is -1.56.

Compute the z-score of Amber as follows:

$z=\frac{x-\mu_{Y}}{\sigma_{Y}}=\frac{3.38-4.363}{0.869}=-1.13$

Thus, the z-score of Amber is -1.13.

(2)

Compute the probability of ERA's that are greater than Roger's ERA as follows:

$P(X>3.14)=P(\frac{X-\mu}{\sigma}>\frac{3.14-4.371}{0.787})\\=P(Z>-1.56)\\=P(Z$

This implies that 94% of the other male pitchers had an ERA higher than 3.14.

Compute the probability of ERA's that are greater than Amber's ERA as follows:

$P(Y>3.38)=P(\frac{Y-\mu_{Y}}{\sigma_{Y}}>\frac{3.38-4.363}{0.869})\\=P(Z>-1.13)\\=P(Z$

This implies that 87% of the other female pitchers had an ERA higher than 3.38.

As it is provided that the lower the ERA the better the pitcher, then it can be concluded that Roger had a better year relative to his peers.

4 0

4 years ago

At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the firs

rewona [7]

Answer:

4032 different tickets are possible.

Step-by-step explanation:

Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.

To find : How many different tickets are possible ?

Solution :

In the first race there are 9 ways to pick the winner for first and second place.

Number of ways for first place - $^9C_1=9$