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melomori [17]
2 years ago
13

Graham puts $20 in his piggy bank every week. at the end of 39 weeks, he adds $100 to the piggy bank money and decides to do the

following: buy some clothes and sports gear for $314.23 buy his mom a present for $123 divide the rest of the money equally among his three brothers use a calculator to find the amount of money each brother will get. $147.59
Mathematics
1 answer:
Ainat [17]2 years ago
5 0
$20*39=  $780+$100=  $880
Subtract $314.23, and  $123 by $880
$880-$314.23-$123= $442.27
Divide $442.27 by 3.
$442.27/3 = $147.59

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The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a stand
julsineya [31]

Answer:

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

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.

Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.

In this problem:

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so \mu = 7, \sigma = 3.

We need to find the probability that it takes less than one minute to find a parking space.

So we need to find the pvalue of Z when X = 1

Z = \frac{X - \mu}{\sigma}

Z = \frac{1 - 7}{3}

Z = -2

Z = -2 has a pvalue of 0.0228.

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

5 0
2 years ago
Write down the multiples of each number vertically and horizontally
Rashid [163]

Answer:

1

6

4

10

14

18

8

16

12

4

6

8

10

12

14

16

18

26

Step-by-step explanation:

8 0
2 years ago
If r is the midpoint of qs rs=2x-4, st= 4x-1 and rt = 8x-43 find qs
sammy [17]

Answer:

QS=68\ units

Step-by-step explanation:

step 1

Find the value of x

we know that

r is the midpoint of qs

so

QR=RS

QS=QR+RS------> QS=2RS -----> equation A

RT=RS+ST ----> equation B

see the attached figure to better understand the problem

Substitute the given values in the equation B and solve for x

8x-43=(2x-4)+(4x-1)

8x-43=6x-5

8x-6x=43-5

2x=38

x=19

step 2

Find the value of RS

RS=2x-4

substitute the value of x

RS=2(19)-4

RS=34\ units

step 3

Find the value of QS

Remember equation A

QS=2RS

so

QS=2(34)=68\ units

6 0
2 years ago
there are 6 grams of fat per serving of granola. each serving provides 180 calories. what percentage of these calories is from f
expeople1 [14]

<span>There are 6 grams of fat per serving in granola. </span>
<span>Each serving provides 180 calories. </span>
<span>There are 9 calories of fat in each gram. </span>
<span>The percentage of calories from fat in granola is? </span>
<span>
30% </span>
7 0
2 years ago
P(n,6)=3p(n,5) what is the value of n.​
Leokris [45]

Answer:

n = 10

Step-by-step explanation:

3n1!/(n-4)! = (n-1)!/( n-1-5)

3n(n-1)(n-2)(n-3)(n-4) / N-4 -------- case1 ( cancel ( n-4) from top and bottom)

= (n-1)(n-2)(n-3)(n-4)(n-5)(n-6) / n-6 --------- case 2 ( Cancel n-6 from top and

                                                                                 bottom and also cancel n-1,

                                                                                  n-2, n-3 with case 1)

3n = ( n-4)(n-5)

3n = n² - 5n - 4n + 20

3n =  n² - 9n + 20

0 = n² - 9n - 3n + 20

0 = n² - 12n + 20

0 = (n-2)(n-10)

n = 2  ( not valid)       n = 10

Therefore n = 10

6 0
2 years ago
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