An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?

Answer:

4.56% of the deliveries are likely to be outside the specification limits.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average weight was 95.0 grams. The standard deviation was 0.25 grams.

This means that [tex]\mu = 95, \sigma = 0.25[/tex]

What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])?

Less than 94.5, or more than 95.5. Since the normal distribution is symmetric, these probabilities are the same, so we can find one of them and multiply by two.

The probability that it is less than 94.5 is the p-value of Z when X = 94.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94.5 - 95}{0.25}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

2*0.0228 = 0.0456

0.0456*100% = 4.56%

4.56% of the deliveries are likely to be outside the specification limits.

Best represents 55? None of these points are 55. The closest answer I can get you is point D on 11 because 55 is divisible by 11...(5)

Answer:

d is the corrext answer :)

Step-by-step explanation:

12-(-8)=4

12+8=20

because - - sign +

Answer:

parallel lines has equal gradient

answer

c ,1/2

Answer:

614

Step-by-step explanation:

This pattern is being multiplied by 2

keep multiplying by two till you get to the 11th term

6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144

6144 is the 11th term.

Answer:

Step-by-step explanation:

So basically you

Then you have to

And finally the answer is

The answer is A.

Hope this helps! can i have brainliest lol

Answer:

a

Step-by-step explanation:

The answer is 1/x^2y^2

The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]

We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]

Hence, the expression becomes

[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]

Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]

Using this rule, we have

[tex] \frac{1}{ {x}^{2} y { - }^{1 - ( - 3)} } [/tex]

[tex] = \frac{1}{ {x}^{2} y { - }^{1 + 3} } [/tex]

Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]

[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]

Answer:

D

[tex]x + 40 \degree = 180\degree \\ x = 180\degree - 40\degree \\ x = 140\degree[/tex]

Answer:

x = 140°

Step-by-step explanation:

x and 40° are adjacent angles and sum to 180° , then

x + 40° = 180° ( subtract 40° from both sides )

x = 140°

Answer:

C

Step-by-step explanation:

the probability of the outcome being greater than 63 is x≥63

Answer:

338 crates

Step-by-step explanation:

Find how many crates they can make by multiplying 52 by 6.5:

52(6.5)

= 338

So, in 6.5 hours, they can make 338 crates

Answer:

The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

The 90% confidence interval for the proportion of Republican voters that had voted for Mitt Romney is (0.7273, 0.8106). The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

Answer:

[tex](x-4)^2 + (y+3)^2 = 16[/tex]

Step-by-step explanation:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where [tex](h, k)[/tex] is the center of the circle and [tex]r[/tex] is the radius

Answer:

y = 1.19x

Step-by-step explanation:

y is the dependent variable (total cost)

x is the independent variable (number of pounds)

Answer:

김수아 임니다 올드 그란 파

Step-by-step explanation:

미안하지 미안하지 미안하지 미안하지

Answer:

-2 and 0

Step-by-step explanation:

EZ

Answer:

A = 6; B = -15

Step-by-step explanation:

To have an infinite number of solutions, both equations must be the same.

4x - Ay = 15

-4x + 6y = B

The only coefficient we see in both equations is the coefficient of the x term. We have -4x and 4x. Multiply both sides of the second equation by -1.

4x - Ay = 15

4x - 6y = -B

For the equation to be equal, we need each term of one equation to be equal to the corresponding term of the other equation.

4x and 4x are equal.

-Ay must equal -6y

-Ay = -6y

-A = -6

A = 6

15 must equal -B

-B = 15

B = -15

Answer: A = 6; B = -15

Answer:

[tex]Equation : \ y = \frac{4}{5}x + 4[/tex]

Step-by-step explanation:

To find equation of a line we will consider two points through which the lines passes .

Let it be  ( -5 , 0 ) and ( 0 , 4 )

Step 1 : Find the slope

             [tex]slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}[/tex]

Step 2 : Equation of the line

             [tex](y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)[/tex]

We will use the second point ( 0. 4)

                     [tex](y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4[/tex]

92631

thats the answerrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

the answers is 92631

plz mark me as a brilliant

Step-by-step explanation:

1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)

2) muscle makes up the greatest part and the minerals makes up the least.

hope it heals u.

make me brain list Pls.

Answer:

the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Step-by-step explanation:

The computation of the standard deviation of the speeds of cars is shown below;

The z score for the top 1% is 2.326

So,

= (75 - 61) ÷ standard deviation = 2.326

Standard deviation is

= 14 ÷ 2.326

= 6.0 miles per hour

Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Answer:

1.) No ;

2.) - 0.931

3.) 0.1785

Step-by-step explanation:

Given :

μ = 84.3 ; xbar = 81.9 ; s = 17.3

H0 : μ = 84.3

H1 : μ < 84.3

The test statistic :

(xbar - μ) ÷ (s/√(n))

(81.9 - 84.3) / (17.3/√45)

-2.4 / 2.5789317

= - 0.9306

= - 0.931

Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44

Using the Pvalue calculator :

Pvalue(-0.9306, 44) = 0.1785

Using α = 0.05

The Pvalue > α

Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3

Answer:

1865.16 m^2

Step-by-step explanation:

first let 's find radius of a circle

radius=diameter/2

=18/2

=9 m

area of a cylinder=2πrh+2πr2

=2*3.14*9*24 + 2*3.14*(9)^2

=1356.48 + 2*3.14*81

=1356.48 + 508.68

=1865.16 m^2

Answer:

1866.11 m²

Step-by-step explanation:

Formula = 2πrh + 2πr²

Surface area = 2 * 3.14 * 9 * 24 + 2*3.14* 81 ≈ 1866.11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

78.54inches²

Step-by-step explanation:

Area of a circle=πr²

radius=½ diameter

=5inches

=π×(5inches)²

=π25inches²

=78.539816339744830inches²

rounded to the two decimal places=78.54inches²

Answer:

[tex]2360m^2[/tex] of sheet steel are needed

Step-by-step explanation:

Given

The missing dimensions are:

[tex]Length = 5m[/tex]

[tex]Width = 6m[/tex]

[tex]Height = 8m[/tex]

[tex]n=10[/tex] --- number of containers

Required

The surface area of all containers

First, we calculate the surface area (A) of 1 container

[tex]A=2*(Length * Width + Length * Height + Width * Height)[/tex]

[tex]A=2*(5m* 6m+ 5m* 8m+ 6m * 8m)[/tex]

[tex]A=2*(30m^2 + 40m^2 + 48m^2)[/tex]

[tex]A=2*(118m^2)[/tex]

[tex]A=236m^2[/tex]

The surface area of 10 is:

[tex]Area = 10 * A[/tex]

[tex]Area = 10 * 236m^2[/tex]

[tex]Area = 2360m^2[/tex]

Answer:

1) 40 degrees

2) 140 degrees

3) 110 degrees

4) 70 degrees

5) 70 degrees

Explanation:

Use the curved protractor they have created you, and count every dash as 10 degrees. Keep in mind that the whole thing equals 180 degrees, and half would equal 90 degrees. Some call it a right angle.

Let me know if my answer is correct for the other users that will see this message. Thank you!

-kiniwih426

Answer:

354.

Step-by-step explanation:

De acuerdo a la sucesión 11,18,25,32..., para encontrar el término que se ubica en la posición 50​ se debe realizar el siguiente razonamiento lógico-matemático:

32 - 25 = 7

25 - 18 = 7

18 - 11 = 7

Así, los números van subiendo de 7 en 7. Por lo tanto, para determinar el número que se ubica en la posición 50 debe realizarse el siguiente cálculo:

(7 x 49) + 11 = X

343 + 11 = X

354 = X

Por lo tanto, el término que se ubica en la posición 50 es 354.

9514 1404 393

Answer:

  100 m

Step-by-step explanation:

One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -110°20' -13°20' = 56°20'

The law of sines can be used to find the length of side AB:

  AB/sin(C) = BC/sin(A)

  AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)

  AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m

The distance AB across the river is about 100 m.