Someone help me out please?

Answer:

14,000+2.1%(0.021)x

Step-by-step explanation:

x is how many years

The value of m<2 = 107

Given:

m<SOX = 160

m<1 = x+14

m<2 = 3x - 10

x + 14 + 3x - 10 = 160

4x + 14 - 10 = 160

4x + 4 = 160

4x = 160 - 4

4x = 156

divide by 4 on both sides

4x/4 = 156/4

x = 39

m<2  = 3*39 - 10

= 117 - 10

= 107

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The value of the test statistic is1.697.  the degrees of freedom for the t distribution is 67.  the p-value is 0.0967. The p-value is greater than 0.025 but less than 0.975, we do not reject H0 at α = 0.05

(a) The test statistic for a two-sample t-test is given by:

t = (x1 - x2) / sqrt(\(s1^2/n1 + s2^2/n2\))

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes. Plugging in the given values, we have:

t = (13.6 - 10.1) / sqrt(\(5.8^2/35 + 8.6^2/40\)) ≈ 1.697

b) The degrees of freedom for the t distribution is given by:

df = (\(s1^2\)/n1 + s22/n2)2 / ((s12/n1)2/(n1-1) + (s22/n2)2/(n2-1))

Plugging in the given values, we have:

df = (5.8^2/35 + 8.62/40)2 / ((5.82/35)2/34 + (8.62/40)2/39) ≈ 67

c) The p-value for a two-tailed t-test with 67 degrees of freedom and t = 1.697 is given by: p-value = 2 * P(T > 1.697) ≈ 0.0967

d) At α = 0.05, we reject H0 if the p-value is less than α/2 or greater than 1 - α/2. Since the p-value is greater than 0.025 but less than 0.975, we do not reject H0 at α = 0.05.

Therefore, our conclusion is do not Reject H0. There is insufficient evidence to conclude that 1 − 2 ≠ 0.

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If trapezoid WXYZ is congruent to trapezoid EFGH, then each of their corresponding sides and angles are congruent.

In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The height or altitude of a trapezoid is the perpendicular distance between the bases.

If trapezoid WXYZ is congruent to trapezoid EFGH, then each of their corresponding sides and angles are congruent. In particular, corresponding sides are parallel and have the same length.

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The work done in stretching the spring from its natural length to 3 inches beyond its natural length is -59.556 lb-in. The negative sign indicates the direction of the work done.

To calculate the work done in stretching the spring from its natural length to 3 inches beyond its natural length, we can use the formula:

W = \((1/2) k (x2^2 - x1^2)\)

where W is the work done, k is the spring constant, x2 is the final displacement of the spring from its natural length, and x1 is the initial displacement of the spring from its natural length.

First, we need to convert the initial displacement of the spring from feet to inches. Since there are 12 inches in a foot, 5 feet is equivalent to 60 inches. Therefore, the initial displacement of the spring is x1 = 60 inches.

Next, we need to calculate the spring constant, k. We can use the formula:

F = kx

where F is the force required to hold the spring stretched and x is the displacement from the natural length. From the given information, we know that when the spring is stretched 5 ft beyond its natural length, the force required is 80 lb. Therefore,

80 lb = k(5 ft) = k(60 inches)

k = 80 lb / 60 inches = 4/3 lb/in

Now we can calculate the work done in stretching the spring from its natural length to 3 inches beyond its natural length:

W =\((1/2) k (x2^2 - x1^2)\)

= \((1/2) (4/3 lb/in) [(3 in)^2 - (60 in)^2]\)

= - 59.556 lb-in

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Answer: If you are solving for x, then thee is no solution

Step-by-step explanation:

Answer:

there is no answer, absolute value always > 0

Answer:

$16

Step-by-step explanation:

1/4x4=1

So 4x4 = 16

Answer:

Mean Absolute Deviation (MAD): 3.0666666666667

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer to the question is A.

Step-by-step explanation:

Plug in both equations to the graph!

Answer:  A

Step-by-step explanation:

In order to find the intersections you must graph the lines.

slope - intercept form:

y=mx + b

b is where the line hits the y-axis.

y=3x-4

y=-2x+2

The y-intercepts for each line is -4 and +2 respectively

The only graph that has lines going through those points at y-axis is A

Answer:

14 feet or 182 feet

Step-by-step explanation:

Let the height of the pole be x

Distance from the bottom of the pole to the anchor point = (x - 62)

Length of the wire = (36 + x)

From Pythagoras theorem;

(36 + x)2 =  + (x - 62) 2

1296 + 72x +  x2 = x2 + x2 - 124x + 3844

collecting like terms;

72x + 124x  + x2 - 2x2 + 1296 - 3844 = 0

196x - x2 - 2548  = 0

Rearranging the quadratic equation;

x2 - 196x + 2548 =0

(x−14)(x−182)=0

x = 14 feet or 182 feet

Hence, the height of the pole is 14 feet or 182 feet

Answer:The boat is traveling at a rate of 3 ft/s.

Step-by-step explanation:

Answer: 7

Step-by-step explanation: if it's so easy, why do you need brainly? (not judging, just confused why you'd waste points)

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years

Compound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.

In the given question, our data is;

The formula is given as

A = P(1 + r/n)^nx

The given expression is

m(n) = 25000(1 + 0.04/ 2)^2n

m(n) = 28500

28500 = 25000(1 + 0.04 / 2)^2n

Solving for n,

n = 3.3

n ≈ 3

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True. Statistical process control is commonly used in service industries, including blood testing labs, to monitor and analyze processes and determine normal levels of variation.

These normal levels of variation are often used as the basis for setting specifications and determining if a process is in control or out of control. Therefore, they can be considered the "voice of the specification" in service industries.

True. Statistical process control is used in service industries like a blood testing lab to determine normal levels of variation. Normal levels of variation are considered the voice of the specification. This helps to maintain quality and control the process.

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I don't see why my answer got deleted from last time as nothing was wrong with it, but your answer is: x = 5/6.

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Hope this helps!

Have a great day and God bless! :)

The angle between the line PT and the plane PQRS is 63.4°

In this question, we have been given a rectangular based pyramid PQRST.

A pyramid has height of 10 cm.

We need to find the angle between the line PT and the plane PQRS.

We know that the angle made by triangular plane TPS with the rectangular plane PQRS is same as the angle between the line PT and the plane PQRS.

If we draw a perpendicular through point T and intersects the plane PQRS at point M.

Let R be the midpoint of side PS

Consider a right triangle RMT.

We need to find angle TRM.

Here, MT = 10 cm, MR = 5 cm (1/2 × length of the rectangle)

Consider the tangent of the angle TRM

tan(∠TRM) = TM / RM

tan(∠TRM) = 10 / 5

∠TRM = tan^(-2)[2]

∠TRM = 63.4°

Therefore, the angle between the line PT and the plane PQRS is 63.4°

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Answer:

-3

Step-by-step explanation:

- 9/4 X 4/3

-9 X 1/3 =

-3

I hope this helps! If it does could you please mark me brainliest?

Answer:

absolutely nothing

Step-by-step explanation:

lol im joking but i have learned how to use a bar model and how to use a x and y axis

Answer:

Well, I think my best accomplishment was being able to pass Algebra, I don't think I would be where I am had I not had the best teacher in the world, and honestly I thank her so much for having the patients to deal with me, an anxiety filled ADHD, hyper teen  

Step-by-step explanation:

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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The rate of discount is approximately 6.4%.

Given that, the purchase at the store "Tias" come to $428.85 before any discounts and before any taxes.

The total price after a discount and taxes of 13% was $452.98.

The formula to find out the rate of discount is `tag=(1+r*t)(1-r*j)*p`, where `tag` is the total price after a discount and taxes, `p` is the initial price, `r` is the rate of discount, `t` is the tax rate, and `j` is the rate of tax.

So we can say that `452.98=(1-r*0.13)(1+r*0)*428.85`

On solving, we get, `r≈6.4%`

Hence, the rate of discount is approximately 6.4%.

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After enlargement, the new photo would be 16 times larger. The answer is C: 16.

An enlargement can be described as a type of dilation in transformation which involves increasing the dimensions of an original image by a given scale factor, so that the new image is similar to the original image. Their sizes would be different while their shapes remain the same. Also, the ratio of their corresponding dimensions would be the same.

Given the following:

Dimension of original photo = 6 inches by 8 inches

Scale factor = 4

To find the new dimensions of the new photo, multiply the corresponding dimensions of the original photo by 4, thus:

6 × 4 = 24 inches

8 × 4 = 32 inches

New dimensions = 24 by 32

Area of original photo = 6 × 8 = 48 in.²

Area of new photo = 24 × 32 = 768 in.²

768/48 = 16

This means that the new photo is 16 times larger than the original photo.

The answer is: C. 16.

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Answer:

\(\huge\boxed{\sf x = 6500 \ m}\)

Step-by-step explanation:

Let the original length be x.

Given that,

6% of original length = 390 m

Key: "%" means "out of 100" and "of" means "to multiply"

So,

\(\displaystyle \frac{6}{100} \times x = 390\\\\0.06 \times x = 390\\\\Divide \ both \ sides \ by \ 0.06\\\\x = 390/0.06\\\\x = 6500 \ m \\\\\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

11 x 6.41

= 70.51

or

= 7051/100

or

=70 50/100

Step-by-step explanation:

V= Iwh

v-h = Iw

v-h = I

w

:. I = v-h

w

Answer:

86,528

Step-by-step explanation:

End of year 1:

80,000 + (.04)(80,000)

80,000 + 3200

83,200

End of year 2:

83200 + (.04)(83200)

83200 + 3328

86528

Answer:

86528

Step-by-step explanation:

Solution,

Here,

The population of the town is 80000

Population growth rate=4% per year

Population after 2 years=?

Now,

Population after 1 year=80000+(4% of 80000)

Population after 1 year=83200

again,

Population after 2 years=83200+(4% of 83200)=86528