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2 years ago

Suppose you adding 43 and 28 will you regroup ? Explain

Mathematics

1 answer:

Kryger [21]2 years ago

3 0

Yes you will regroup because 8+3 equals 11 so you would bring the 1 down and add the other to the 4 and 2

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An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of

iogann1982 [59]

Answer:

Step-by-step explanation:

x, height of men is N(69, 2.8)

Sample size n =150

Hence sample std dev = $\frac{2.8}{\sqrt{150} } =0.229$

Hence Z score = $\frac{x-69}{0.229}$

A) Prob that a random man from 150 can fit without bending

= P(X<78) = P(Z<3.214)=1.0000

B) n =75

Sample std dev = $\frac{2.8}{\sqrt{75} } =0.3233$

P(X bar <72) = P(Z<9.28) = 1.00

C) Prob of B is more relevent because average male passengers would be more relevant than a single person

(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.

3 0

2 years ago

What are the coordinates of vertex J of the pre-image?(14 POINTS. PLS HELP, GEOMETRY)

DaniilM [7]

If we look at where it is now, we would have multiplied the x and y values by 1/2. since we are working backwards, lets multiply by 2 instead...giving us the vertex for the pre-image....

J is now (0, -2) multiply by 2
J was (0, -4)

5 0

2 years ago

Read 2 more answers

the population of Ketcham high school has been decreasing by 5 % per year.if it's population is currently 2600 which of the foll

kap26 [50]

5% = .05
2600 x .05 = 130
130 x 2 = 260
2600 - 260 = 2340

The population will be 2340 people.

6 0

2 years ago

Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't

AVprozaik [17]

We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form $y=a(1+r)^x$ , where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

$3\%=\frac{3}{100}=0.03$

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

$y=160(1+0.03)^x$

$y=160(1.03)^x$

To find amount of money in Clare's account after 30 years, we need to substitute $x=30$ in our equation.

$y=160(1.03)^{30}$

Therefore, the expression $160(1.03)^{30}$ represents the amount of money that Clare would have after 30 years.

8 0

2 years ago

"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students

dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71$

95% confidence interval would be

$\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)$

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

7 0

2 years ago