Ask question

Ask question

All categories

White raven [17]

3 years ago

8

While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of sh

oes for $21. What is the total cost of these items, if the store is offering a 30% discount?

1 answer:

gregori [183]3 years ago

8 0

Answer:

$88.9

Step-by-step explanation:

First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:

Total cost=(29*2)+(16*3)+21

Total cost=58+48+21

Total cost=127

Now, you have to calculate 30% of that total and subtract that amount from the total cost:

127*30%=$38.1

127-38.1=$88.9

According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.

You might be interested in

Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that

Mekhanik [1.2K]

Answer:

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

$np \geq 10$ and $n(1-p) \geq 10$

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Out of 124 software users

This means that $n = 124$

Assume the probability that a given software user will call technical support is 97%.

This means that $p = 0.97$

Conditions:

$np = 124*0.97 = 120.28 \geq 10$

$n(1-p) = 124*0.03 = 3.72 < 10$

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0$

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0

3 years ago

What is the modulus of |9+40i|?

Talja [164]

Answer:

41

Step-by-step explanation:

We know that complex numbers are a combination of real and imaginary numbers

Real part is x and imaginary part y is multiplied by i, square root of -1

Modulus of x+iy = $\sqrt{x^2+y^2}$

Here instead of x and y are given 9 and 40

i.e. 9+40i

Hence to find modulus we square the coefficients add them and then find square root

|9+49i| = $\sqrt{9^2+40^2} =\sqrt{1681}$

By long division method we find that

|9+40i| =41

6 0

2 years ago

Read 2 more answers

Evaluate the expression for the given value of the variable(s). 5a + 5b; a = -6, b = -5

Vika [28.1K]

Your answer is A. You literally plug in the numbers for a and b to solve for the equation.

4 0

3 years ago

Given the equation y = 2/3 x − 2, what is the value of x when y = 10?

SIZIF [17.4K]

Step-by-step explanation:

Y is equal to:

2/3x - 2 = 10

2/3x = 10 + 2

2/3x = 12

3/3x = (12 ÷ 2) × 3

x = 18

Not sure but its worth a try.

6 0

3 years ago

The demand function for a product is given by p = −0.05x2− 0.3x + 8 where p is the unit price in dollars and x is the weekly dem

mr Goodwill [35]

Answer:

The answer is 5300 units.

Step-by-step explanation:

The equation will be exactly lie below if the price is 5$:

$5=-0.05x^2-0.3x + 8\\0=-0.05x^2-0.3x+3$

Roots of the parabol will be:

$x_{1}=-11.3\\x_{2}=5.3$

In fact that there will be no negative production, The consumer surplus will be 5300 units

6 0

3 years ago