Please help. I have to do this homework before tomorrow and it’s half my grade.

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is 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 = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.8982

The margin of error is:

\(M = T\frac{s}{\sqrt{n}}\)

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

Standard deviation of 0.55 meters.

This means that \(s = 0.55\)

What is the margin of error for her 99% confidence interval?

\(M = T\frac{s}{\sqrt{n}}\)

\(M = 2.8982\frac{0.55}{\sqrt{18}}\)

\(M = 0.3757\)

The margin of error for her confdence interval is of 0.3757.

Margin of error is the distance between the mean and the limit of confidence intervals. The margin of error for the given condition is 3.28 approximately.

Suppose that we have:

Sample size n  < 30

Then the margin of error(MOE) is obtained as

Margin of Error = \(MOE = T_{c}\dfrac{\sigma}{\sqrt{n}}\)

\(MOE = T_{c}\dfrac{s}{\sqrt{n}}\)

where \(T_{c}\) is critical value of the test statistic at level of significance

For the given case, taking the random variable X to be tracking the height of trees in the sample taken of trees from the considered forest.

Then, by the given data, we get:

\(\overline{x} = 4.8\), \(s = 4.8\), n = 18

The degree of freedom is n-1 = 17

Level of significance = 100% - 99% = 1% = 0.01

The critical value of t at level of significance 0.01 with degree of freedom 17 is obtained as T = 2.90 (from the t critical values table)

Thus, margin of error for 99% confidence interval for considered case is:

\(MOE = T_{c}\dfrac{s}{\sqrt{n}}\\\\MOE = 2.9 \times \dfrac{4.8}{\sqrt{18}} \approx 3.28\)

Thus, the margin of error for the given condition is 3.28 approximately.

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Answer:

Step-by-step explanation:

54=2(x+9)+2x

Answer:

w ≥ 11.25

Step-by-step explanation:

Remember: at most, is no more than, or is less than or equal to mean to use the ≤ inequality.

length = 9 + w

width = w

P = 2l + 2w

63 ≤ 2(9 + w) + 2w

63 ≤ 18 + 2w + 2w

63 ≤ 18 + 4w

45 ≤ 4w

45/4 ≤w

11.25 ≤ w or w ≥11.25  

Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

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The time taken to reaches its maximum height is 3s.

In the question,

It is given that,

Height, h(t) = \(96t - 16t^{2}\)

The maximum value of the function is obtained if the first derivative of the function h (t) = 0.

\(\frac{dh(t)}{dt} = 96 - 32t = 0\)

⇒ \(t = 3\)

So, time taken to reach its max height is 3 seconds.

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Answer:

for me

Step-by-step explanation:

I think it's 16 yeah

Answer:

20

Step-by-step explanation:

nearest 10th

look at the tenth digit

(2nd number before the decimal point)

look at previous number if it is 5 or more,add one more to the tenth number

eg. 16.0009

1 is tenth

6 is units this is more than 5

add one to the tenth

tenths become 2 and units become 0

ans 20

Answer:

Option A. 4√5

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y as shown in the attached photo.

The value of y can be obtained by using the pythagoras theory as illustrated below:

In this case y is the longest side i.e the Hypothenus.

y² = 4² + [4√3]²

y² = 4² + [4² × (√3)²]

y² = 4² + [4² × 3]

y² = 16 + [16 × 3]

y² = 16 + 48

y² = 64

Take the square root of both side

y = √64

y = 8

Finally, we shall determine the value of x by using the pythagoras theory as illustrated below.

Note: x is the longest side i.e the Hypothenus in this case.

x² = 4² + 8²

x² = 16 + 64

x² = 80

Take the square root of both side

x = √80

x = √(16 × 5)

x = √16 × √5

x = 4√5

Therefore, the value of x is 4√5.

Answer:

Step-by-step explanation:

This can be solved with a very basic knowledge of probability and proportions. If we have 2 chances out of 7 to pick a blue marble, then we have 5 chances out of 7 to pick a red one, right? We can use that and set up a proportion with red marbles on top and total number of marbles on the bottom:

\(\frac{red}{total}:\frac{5}{7}=\frac{x}{84}\)

5/7 is the reduced fraction that represents the number of red marbles over the total number of marbles. Solving this way allows us to find out what the fraction was before it was reduced, hence, giving us the total number of red marbles. Cross multiply to solve:

7x = 420 so

x = 60. 60 red marbles total

Answer:

√41 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

6

Step-by-step explanation:

count your fingers

Answer:

$666.66

Step-by-step explanation:

4%/12=0.33333

0.33333*9= 3%

2,000/3=$666.66

2,000+666.66=$2,666.66

Answer:

Step-by-step explanation:

In order for the ratio of volumes of a cylinder, cone, and sphere to be true, the radius of each solid would have to be equal. This is because the radius is a factor in the volume formulas for all three solids:

Volume of cylinder: πr^2h

Volume of cone: (1/3)πr^2h

Volume of sphere: (4/3)πr^3

If the radius is equal in all three solids, then the volumes will be in the same ratio as the given ratio, regardless of the values of h or the surface area. Therefore, the correct answer is : The radius and the height.

Answer:

-10m-9

Step-by-step explanation:

-3(4m+3)+2m

combine like terms

-12m-9+2m

-10m-9

Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±\(t_{n_1+n_2-2;1-\alpha/2}\)*Sa\(\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }\)]

\(t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715\)

\(Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20\)

[(2.90-2.29)±2.715*0.20\(\sqrt{\frac{1}{20} +\frac{1}{19} }\)]

[0.436; 0.784]

I hope this helps!

Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:

\(\mu_C = 2.9075, s_C = 0.1427\)

For the intermediate soil, omitting the high outlier of 4.26, we have that:

\(\mu_I = 3.2895, s_I = 0.2385\)

The distribution of the decrease has mean and standard deviation given by:

\(\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382\)

\(s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779\)

The interval is given by:

\(\overline{x} \pm ts\)

By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.

Then:

\(\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418\)

\(\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182\)

The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

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Answer:

If you do not want cell references to change when you copy a formula, then make those cell references absolute cell references. Place a "$" before the column letter if you want that to always stay the same. Place a "$" before a row number if you want that to always stay the same.

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

Answer:

6

-16

-5

0

Step-by-step explanation:

Step-by-step explanation:

(-2) + (+8) = 6

(-9) + (-7) = -16

(-4) + (-9) = -5

(-7) + (+7) = 0

Answer:

Option C

Step-by-step explanation:

If rectangle ABCD is similar to rectangle MNOP,

Their corresponding sides will be proportional.

\(\frac{AB}{MN}=\frac{BC}{NO}=\frac{CD}{OP}= \frac{AD}{MP}\)

And the corresponding angles will be equal.

∠A ≅ ∠M

∠B ≅ ∠N

∠C ≅ ∠O

∠D ≅ ∠P

Therefore, Option C will be the correct option.

Answer:

(90+65)/2

=75

so

(650+850)/2

=750

Using balanced billing, the monthly payment is $278

Using balanced billing to determine their monthly payment, we simply need to divide their total annual payment by the total number of months in a year. This will result to dividing the entire annual bill by 12 to determine the monthly payment.

Given that the Ross family spent $3,336 for electricity last year, we can calculate their monthly payment as follows:

Monthly payment = Total cost / Number of months

Monthly payment = $3,336 / 12

Monthly payment  = $278

Therefore, the Ross family's monthly payment for balanced billing will be approximately $278.

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Answer:

The equation should be, 65m+25=c

Answer: it’s going to be c=65m+25

Step-by-step explanation:

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Answer:

Its B

Step-by-step explanation:

Answer: A point does not have a formal definition, and a vertex is described through undefined terms.

Answer:

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​

Step-by-step explanation:

If <1 and <2 are linear pair, hence <1 + <2 = 180

If <2 and <3 are linear pair, hence <2 + <3 = 180

Since <1, <2 and <3 are linear pair, hence <1 and <3 vertically opposite

<1 and <4 will also be a linear pair since they will lie on the same straight line. Since the sum of angle on a straight line is 180, hence <1 + <4  = 180degrees

The correct options are

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

Answer:

Series Circuit

Step-by-step explanation:

In a series circuit, the total resistance is equal to the sum of all resistances.  Hope this helps u out!

Answer:

-75/16

Step-by-step explanation:

Answer:

The answer to the question provided is -12.

Is the question you jotted down suppose to look like this: 7 1/2 ÷ (4 1/2 - 5 1/8) ?

Given: The equation x² = 5x + 4

We have to draw the the graph for the given equation.

Consider the given equation,

x^2 - 5x - 4 = 0  

The vertex of the parabola of the form f(x) = ax^2 + bx + c   is given by x = -b/2a

Here,

a= 1

b= -5

c= -4

vertex = x = 5/2= 2.5

Also, the y coordinate at x = 2.5 is,

y = (2.5)^2 -5(2.5)-4

y = -10.25

Thus the vertex of parabola is (2.5 , -10.25)

y - intercept is the point where x = 0

put x = 0 in given equation

f(x) = 0 - 0 -4

f(x) = -4

hence y intercept is at (0, -4).

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

x^2 - 5x - 4 = 0

by using quadratic formula,

x = -b ±√b² - 4ac/2a

x=5 ±√-5² - 4 (1)(-4)/2

x= 5±√41/2.

Hence with the obtained values the graph of the equation is obtained.

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