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3 years ago

Use mental math to calculate 49% of 162.

1 answer:

6 0

First you divide the number 162 by 100 (100 is 100%) which = 1.62 then you multiply this by the % given which is 49 so 162/100=1.62 then 1.62*49= 79.38

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Jocelynn paid $3.01 for an item which cost $34.80 before sales tax is applied. If the sales tax remains the same, how much money

dalvyx [7]

Start by finding out the tax percentage which is 3.01 divided by 34.80 which gives us 9% when rounded up. 100*1.09 will give us the answer; The answer is $109. For a precise answer with a precise tax percentage, it would be $108.65.

7 0

3 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in,and a standard deviation given by

Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with

$\mu$ = 62.5 in

$\sigma$ = 2.2 in

the normal probability density function is given by

$f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}$ , then

(a) $P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx$ = 0.5899

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking $P(\bar{X} < 63)$ where n = 37. $\bar{X}$ is normally distributed with mean 62.5 in and standard deviation $2.2/\sqrt{37}$ . So, the probability density function is given by

$g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}$ , and

$P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx$ = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0

3 years ago

Help struggling on this

Irina18 [472]

Is it possible it’s (-2,2)

4 0

2 years ago

Read 2 more answers

Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?

Alona [7]

Let’s make

P = Pamela
J = Jiri

J - 6 = P

P + J = 78

We can replace P with J - 6 because they are the same thing.

J - 6 + J = 78

2J - 6 = 78

2J = 84

J = 42

Jiri is 42 years old.

6 0

2 years ago

A. 8.5 B. 8.4 C. 8.3 D. 8.6 @mathstudent55

Roman55 [17]

C. 8.3

to solve use cos 32 = 7/x
x = $\frac{7}{cos (32)} =8.25424...$

7 0

3 years ago