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3 years ago

It's 1:00 p.M. And I've driven 120 miles. At 3:00 p.M. I will have driven 208 miles. What is my speed?

Mathematics

2 answers:

bazaltina [42]3 years ago

7 0

Answer:

44 miles/hour

Step-by-step explanation: since speed = distance/time

= 88miles/2hours

=44miles/hour

statuscvo [17]3 years ago

5 0

From 1 pm to 3 pm is 2 hours.

208 miles - 120 mile = 88 miles

You drove 88 miles in 2 hours.

Speed = miles driven / time driven:

88 / 2 = 44 miles per hour

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The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is 0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that ;

$S \sim N ( 1200,60)$

the probability that the sample mean will be larger than 1224 will now be:

$P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })$

$P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })$

$P(\overline X > 1224) = P(Z > 2.4 })$

$P(\overline X > 1224) =1 - P(Z \leq 2.4 })$

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 - 0.9918

P(\overline X > 1224) = 0.0082

Hence; the probability that the sample mean will be larger than 1224 is 0.0082

4 0

3 years ago

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Natalija [7]

Answer:
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2 years ago

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series : 9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

$6561^2 = 43046721$

It means the missing number will be square of its previous number

Means $9^2 = 81$ , so missing number is 81. : Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, $x = 3y + 2$ ......equation (1)

Their sum is 22 means, $x+y = 22$ .......equation (2)

Putting the value of x from equation1 into equation 2

$3y + 2 + y = 22$

$4y + 2 = 22$

Subtracting 2 in both sides

$4y + 2 - 2 = 22 - 2$

$4y = 20$

$y = 5$

$x = 22 - y = 22 - 5 = 17$

Means numbers are 17 and 5. : Answer

Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as $2^2$

27 could be written as $3^3$

So , next number would be $4^4$

$4^4 = 256$

Next one is $5^5 = 3125$

So, the missing number is 256 : Answer

Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = $3 * (2-1) = 3$

Between 3 plants, the distance is = $3 * (3-1) = 6$

So, between 23 plants, the distance is = $3 * (23-1) = 3 * 22 = 66$

hene the distance between first and last plant woule be 66 feet. : Answer

7 0

2 years ago

Combine the like terms to create an equivalent expression:

Nesterboy [21]

Answer:

-2z+8

Step-by-step explanation:

$3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8$

6 0

3 years ago

Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

A = $2,647.17883 ≈ $2647.18

5 0

3 years ago