Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line

Answer:

picture is upside down

Answer:

a) The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.

b) The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.

Step-by-step explanation:

We have the standard deviation for the samples, which mean that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.201

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.201\frac{2}{\sqrt{12}} = 1.27[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12.5 - 1.27 = 11.23 µg/L.

The upper end of the interval is the sample mean added to M. So it is 12.5 + 1.27 = 13.77 µg/L.

The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.

(b) Can you conclude that the lead concentration is less than 14µg/L?

The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.

Answer:

a) a = 12s

Step-by-step explaination:

9514 1404 393

Answer:

  30.25π square inches

Step-by-step explanation:

You can use the formula for area in terms of circumference:

  A = C²/(4π)

  A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches

_____

You may be expected to find the radius first:

  C = 2πr   ⇒   r = C/(2π) = 11π/(2π) = 5.5 . . . inches

Then use the area formula:

  A = πr² = π(5.5 in)² = 30.25π in²

Answer:

top and bottom

Step-by-step explanation:

Answer:

7.9 + x because all the others are equal to.each other

Answer:

400.2

Step-by-step explanation:

A = π r l + π r²

l = √r² + h²

Solving for A

A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)

Answer:

Step-by-step explanation:

Volume of a cylinder of radius

r

and height

h

is

π

r

2

h

As radius is

3

and area is

81

π

cubic units,

π

3

2

×

h

=

81

π

or

9

π

×

h

=

81

π

Hence

h

=

81

π

9

π

=

9

Answer:

9 cm

Step-by-step explanation:

Answer:

amen

Step-by-step explanation:

amen you have the blood of jesus

Answer:

Step-by-step explanation:

t is the number of years since 2003.

f(t) = $18,500×0.88^t

t = 2 in 2005

f(2) = $18,500×0.88²≅ $14,300

Answer:

$14300.00

Step-by-step explanation:

100 - 12 = 88%

88% = 0.88

$18500 x 0.88² = $14326.40

To the nearest hundread:

$14326.40 = $14300.00

0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.

Hope this helps!

Answer:

Amount after 9 year = 8,310 (Approx.)

Step-by-step explanation:

Given:

Amount invested = 12,000

Rate on decline = 4% per year = 0.04

Number of year = 9

Find:

Amount after 9 year

Computation:

A = P[1+r]ⁿ

A = 12,000[1-0.04]⁹

A = 12,000[0.96]⁹

A = 12,000[0.6925]

Amount after 9 year = 8,310 (Approx.)

Answer:

-2/5

Step-by-step explanation:

To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.

=================================================================

Add 2x to both sides. [Addition Property of Equality]

-2x - 5y = 10

+2x         +2x

-------------------

-5y = 2x - 10

Divide -5 on both sides. [Division Property of Equality]

-5y/-5 = 2x/-5 - 10/-5

y = -2/5 x + 2

Comparing to y = mx + b form, we see that our m value, or slope is -2/5

--------------------------------------------------------------------------------------------------------------

m= -2/5

=================================================================

Hope I Helped, have a fantastic day!

                  -Aadi x

Answer:

Ok ill help i guess

Step-by-step explanation:

0.81 X 10000

Answer:

24yd I think thats the answer

Answer:

B

Step-by-step explanation:

6 * 4 = 24

[ (9 - 6) * 4 ] / 2 = 6

24 + 6 = 30

Answer:

Step-by-step explanation:

Answer:

£153

Step-by-step explanation:

If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.

Answer:

No.

Step-by-step explanation:

Calculation: 2/4 + 3/4 - fraction calculator. Result: 5/4 = 1 1/4.

Answer:

b = 14

Step-by-step explanation:

The required solution to the equation 3b/7 - 1 = 5 is b = 14.

Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property

Here,
To solve for b, we need to isolate b on one side of the equation.

First, we add 1 to both sides of the equation to get:

3b/7 = 5 + 1

Simplifying the right-hand side:

3b/7 = 6

Next, we multiply both sides by 7/3:

(7/3) * (3b/7) = (7/3) * 6

Simplifying:

b = 14

Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.

Learn more about simplification here:

https://brainly.com/question/12501526

#SP3

Answer:

dndndndndndjdjxndnxnxnxjdjjxxjjddnxnxjjdjdjsjsjs

Step-by-step explanation:

hshshshssjsjznznznznsjshjzzhzh

Answer:

Given:

radius = 8

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * 8³

V = 1.33 * 3.14 * 512

V = 2,138.21 cubic unit

Step-by-step explanation:  Hope This Helped!!

C is the correct answer

Answer:

The minimum sample size needed is 39.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the number of hours is 120 hour

This means that [tex]\sigma = 120[/tex]

The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?

The minimum sample size needed is n.

n is found when [tex]M = 50[/tex]

So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]

[tex]50\sqrt{n} = 2.575*120[/tex]

[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]

[tex]n = 38.19[/tex]

Rounding up

The minimum sample size needed is 39.

Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.

Answer:

It's so sad no one answered saying that they do.

Step-by-step explanation: