776 kilometers in 56 hours = 679 kilometers in

You work for a pharmacy and monthly sales of asthma inhalers in your pharmacy follows a normal distribution with a mean of 191 i

grin007 [14]

Answer: -1.33 .

Step-by-step explanation:

Formula to find the Z-score :

$Z=\dfrac{\text{Expected value - Mean}}{\text{Standard deviation}}$

Given: Mean = 191 and Standard deviation = 21

Then , the z-score corresponding to the expected value of 163 will be :

$Z=\dfrac{163-191}{21}\\\\=\dfrac{-28}{21}\approx-1.33$

Hence, the z score corresponding to selling 163 inhalers is -1.33 .

3 0

2 years ago

Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00

Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

$15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88$

So, <em>the principal must be = $8991.88</em>

4 0

2 years ago

Coach Jamison wants to celebrate the final win of the school's baseball season with a trip to the local fast food place. The tea

PIT_PIT [208]

So we have 2 variables here: tacos and orders of nachos.

When we translate the paragraphs into equation: $28t + 27n = 114.80 \\ \\ 12t + 3n = 37.20$

Now, in this situation we can make use the elimination method by converting 3n to -27n.

$- 108t - 27n = - 334.8$

Add both equations: $28t + 27n - 108t - 27n = 114.8 - 334.8 \\ \\ - 80t = - 220 \\ \\ t = 2.75$

So we find that one taco costs $2.75.

We can plug this into any of the first two equations to find n: $12 \times 2.75 + 3n = 37.2 \\ \\ 33 + 3n = 37.2 \\ \\ 3n = 4.2 \\ \\ n = 1.4$

So one order of nachos cost $1.40.

4 0

2 years ago

What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?

Sophie [7]

Answer:

Step-by-step explanation:

$(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29$

6 0

3 years ago

Read 2 more answers

Which of the following is NOT a right triangle congruency?

Brums [2.3K]

I would say the best option is A.HL

7 0

3 years ago