The standard deviation of a normally distributed population is 24.0. A sample of size 4 is randomly selected. The standard error of the mean is

Answer:

C I got that

shdjdhfbfhfkdnfhfhfhfbf it wants me to do 20 characters long

Answer:

I think it true?

I is correct?

my brainlist answer please. <:(

Answer:3.7 miles per day

Step-by-step explanation:

6.5x5=32.5

51-32.5=18.5

18.5/5=3.7

Answer:

X^7

Step-by-step explanation:

3+4=7

Answer:

28 5 dollar bills

12 10 dollar bills

Step-by-step explanation:

You can write two equations to model this situation'

x will be the number of 5 dollar bills

y will be the number of 10 dollar bills

x+y=40

5x+10y=260

There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)

So we have x+y=40

If I subtract y from both sides and divide by -1 we get

-x+40=y

We can then plug this value in for y in the second equation

5x+10(-x+40)=260

Distribute the 10 and combine like terms to get

-5x+400=260

subtract 400 from both sides and divide by -5 to get

x=28

This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y

28+y=40

Subtract 28 from both sides

y=12

This means that there were a total of 28 5 dollar bills and 12 10s

I doubled checked this in desmos and it checks out

The minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of prism.

Total surface area of the rectangular prism is calculated with the following formula.

\(A=2(lb+bh+lh)\)

Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.

The minimum amount of wrapping paper required to cover the gift is equal to the surface area of the figure.

The figure is made with different sides, The area of all the sides is equal to the surface area of the figure. The surface area of it is,

\(A=2(5\times8)+(15\times8)+(15\times10)+2(\dfrac{1}{2}3\times8)+(15\times5)+(15\times11)\\A=614\rm\;in^2\)

Thus, the minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

Learn more about the total surface area of a rectangular prism here;

https://brainly.com/question/15456870

#SPJ1

There is not enough evidence to support the claim that more than 20% of users develop nausea at a 0.01 significance level.

We have,

Based on a sample of 217 subjects, 53 of them developed nausea.

To test this claim, a hypothesis test is conducted using a significance level of 0.01.

The null hypothesis, denoted as H0, assumes that the true proportion of users who develop nausea is less than or equal to 20%, while the alternative hypothesis, denoted as Ha, assumes that the true proportion is greater than 20%.

If the test statistic, calculated from the sample data, falls in the rejection region, which is determined based on the significance level and the degrees of freedom, then the null hypothesis is rejected, and it can be concluded that there is sufficient evidence to support the alternative hypothesis.

In this case,

If the test statistic falls in the rejection region, it means that the evidence suggests that more than 20% of users of the pain drug develop nausea, and the claim that less than or equal to 20% of users develop nausea is not supported by the data.

Thus,

There is not enough evidence to support the claim that more than 20% of users develop nausea at a 0.01 significance level.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ1

If he continues at the same  rate, it will take 62 minutes to do 93 envelopes.

Given the following data:

To find how many minutes it will take him to do envelope B, we would use direct proportion:

30 minutes = 45 envelopes

B minutes = 93 envelopes

Cross-multiplying, we have:

\(93\) × \(30 =\) \(45\) × \(B\)

\(2790 = 45X\\\\X = \frac{2790}{45}\)

B = 62 minutes

Therefore, it will take 62 minutes to do envelope B.

Find more information: https://brainly.com/question/596290

Answer:

my friend, I would have to go with B: -3/4n + 3/8

Answer:

1000 yards

Step-by-step explanation:

First, create a triangle using the two known amounts.

12 blocks east will act as your base and 16 blocks south as your height. Connect these two lines to form a triangle.

This becomes a matter of the Pythagorean theorem or A^2 + B^2 = C^2

A= 12

B= 16

12^2 + 16^2 = C^2

400 = C^2

C= 20 blocks

Multiply this number by 50 to get the number in yards.

20 * 50 = 1000 yards

The distance from the pole at which the cable is anchored is about 25 feet from the pole .

Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.

Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.

we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.

Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .

Simplifying the above equation

1225 = 1600 - 80ED + ED²

1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0

Factorizing the above quadratic equation

ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)

  = 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.

The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.

Know more about  distance   here:

https://brainly.com/question/30395212

#SPJ8

Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

We have to given that;

From a group of 5 and 3 girls , A boy and A girl will be selected to attend a conference.

Now, We know that;

Number of ways to choose 1 boy in group of 5 boys,

⇒ ⁵C₁

And, Number of ways to choose 1 girl from group of 3 girls,

⇒ ³C₁

Hence, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is,

⇒ ⁵C₁ x ³C₁

⇒ 5! /1! 4! × 3! / 1! 2!

⇒ 5 × 3

⇒ 15

Thus,  Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

Learn more about the combination visit:

brainly.com/question/28065038

#SPJ1

Answer

a) The vertices of the triangle after the transformation is

A' (1, -4)

B' (5, -1)

C' (4, -4)

b)

Explanation

When a coordinate A(x, y) is translated horizontally along the x-axis by a units, the new coordinates, A'(x', y') is represented as

A[(x + a), y] when the translation is by a units to the right.

A[(x - a), y] when the translation is by a units to the left.

When a coordinate A(x, y) is translated vertically along the y-axis by b units, the new coordinates, A'(x', y') is represented as

A' [x, (y + b)] when the translation is by b units upwards.

A [x, (y - b)] when the translation is by b units downwards.

So, a movement of the cordinates of the triangle 3 units to the right and 5 units down will add 3 units to the x-coordinate and subtract 5 units from the y-coordinates

A (-2, 1) = A' [(-2 + 3), (1 - 5)] = A' (1, -4)

B (2, 4) = B' [(2 + 3), (4 - 5)] = B' (5, -1)

C (1, 1) = C' [(1 + 3), (1 - 5)] = C' (4, -4)

b) To graph the two triangles, we just plot the coordinates of the vertices and connect them. This is presented under 'Answer' above.

Hope this Helps!!!

Answer: 9.46 grams

Step-by-step explanation:

Given: Number of muffins made in one batch = 1 dozen =12 ]

[ as 1 dozen = 12]

Also, in one batch the quantity of sugar = \(\dfrac14\) pound

As there are 454 grams of sugar in a pound.

So,  in one batch the quantity of sugar = \(\dfrac14\times454=113.5\ grams\)

i.e. in 12 muffins , there is 113.5 grams of sugar.

Then, in one muffin the quantity of sugar = (113.5 grams) ÷ 12

≈9.46 grams

Hence, there are 9.46 grams of sugar in 1 muffin.

A son earns 62 percent of what his father earns if the son earns $52,000 so, the father earns approximately $83,871.

The word "percent" is used to represent a quantity as a percentage of 100. The Latin term per centum, which means "out of a hundred," is where the word "percent" originates. When working with huge numbers, percentages are frequently employed to convey ratios, proportions, and rates in a more practical way.

A percentage can be expressed as a decimal or as a fraction with a denominator of 100. 25%, for instance, might be written as 0.25 or as 25/100. Similarly, 75% might be written as 0.75 or as 75/100.

Let's denote the father's earnings as "F". We are given that the son earns 62% of what his father earns, which can be expressed as:

Son's earnings = 62% of Father's earnings

$52,000 = 0.62F

To solve for F, we can divide both sides of the equation by 0.62:

F = $52,000 ÷ 0.62

F = $83,870.97

Therefore, to the nearest dollar, the father earns approximately $83,871.

To know more about percent, visit:

https://brainly.com/question/24877689

#SPJ1

The area of a cross section that is parallel to face BFGC is 216 cm².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Mathematically, the formula for surface area of a rectangle is given as;

S.A = L x W

where;

The area of a cross section that is parallel to face BFGC is calculated as;

S.A = 36 cm  x  6 cm

S.A = 216 cm²

Learn more about surface area here: https://brainly.com/question/1297098

#SPJ1

Answer:

The formula to get the area of a circle is: A = πr²

Answer:

Number of whole tiles need = 120,000 tiles

Step-by-step explanation:

Given:

Area of room = 300 m²

Dimension of each tile = 5cm x 5cm

Find:

Number of whole tiles need

Computation:

Dimension of tile in meter = 5 /100 = 0.05 m

Area of each tile = 0.05 x 0.05

Area of each tile = 0.0025 m²

Number of whole tiles need = Area of room / Area of each tile

Number of whole tiles need = 300 / 0.0025

Number of whole tiles need = 120,000 tiles

Total 120,000 tiles need to cover 300 m² room.

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To know more about the hypothesis follow

https://brainly.com/question/23730829

#SPJ1

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

Learn more about sinusoid function click;

https://brainly.com/question/21008165

#SPJ1

Answer:

1,110/222=5 or 1,110/5=222

Step-by-step explanation:

Hence, the unit rate in dollars per hour is $\(6.8\) per hour.

What is the unit rate?

Unit rate is a very important factor in Mathematics. A unit rate means a comparison between two units and the superiority and difference between both of them.

Here given that,

For every three hours she works, Alexia earns $\(20.40\).

So, the equation is

\(3x=20.40\\\\x=\frac{20.40}{3}\\\\x=6.8\)

Therefore, she earns $\(6.8\) per hour.

Hence, the unit rate in dollars per hour is $\(6.8\) per hour.

To know more about the unit rate

https://brainly.com/question/12727474

#SPJ2

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

Read more about vertex at

brainly.com/question/28180581

#SPJ1

Answer:

yes she has more than enough

Step-by-step explanation:

1 quart = 4 cups

2 quarts = 8 cups

3 quarts = 12 cups

If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

Answer:

g>5/8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

-8g-6<-11

Step 2: Add 6 to both sides.

−8g−6+6<−11+6

−8g<−5

Step 3: Divide both sides by -8.

−8g/−8<−5/−8

= g<5/8