PLZ HELP FAST WILL MARK BRAINLIEST
The box plots show the number of hours that Mr. Yan’s biology class spent studying for a test. It also shows the number of hours Mrs. Gonzalez’s class spent studying for a geography test. Mr. Yan’s Class 2 box plots. The number line goes from 0 to 10. For Mister Yan's class, the whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4. For Misses Gonzalez's Class, the whiskers range from 1 to 9, and the box ranges from 4 to 7. A line divides the box at 5.5. Mrs. Gonzalez’s Class Four students compared the data in the box plots. Nadine Kendrick Tahara Dean The medians are the same because both sets of data have the same minimum and maximum values. Mr. Yan’s class has a greater median because the box in that box plot is larger. Mrs. Gonzalez’s class has a greater median because the line inside that box is located at a greater value. The medians are both 7 because the upper quartile for the sets of data is 7. Which student is correct?

Nadine
Kendrick
Tahara
Dean

Answer:

A) 120 cm^3

Step-by-step explanation:

area of triangle = 1/2 x 5 x 12 = 30

volume = 1/3 x 30 x 12 = 120

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given question is

A futsal team scored 60 goals, corresponding to four-sixths of the league's total goals. How many goals were scored in the league?

If 60 goals represents four-sixths of the total goals, then how many goals were scored?

Here we need to use the rule of three, where the given equivalence is

[tex]60 \ goals = \frac{4}{6}[/tex]

And the total number of goals is represents by 1, which is the 100% of goals.

[tex]x=1\frac{60 \ goals}{\frac{4}{6} }=\frac{360}{4} \ goals\\ x=90[/tex]

Therefore, the team scored a total of 90 goals.

O total de gols marcados no campeonato foi de 90, como calculado por meio de uma equação proporcional representada pela fração de gols marcados pelo time de futsal.

A questão relata que o time de futsal marcou 60 gols, o que equivale a quatro sextos do total de gols do campeonato. Para identificar o total de gols do campeonato, podemos configurar uma equação proporcional.

Se 4/6 corresponde a 60 gols, então 1/6 corresponde a 60 dividido por 4, que resulta em 15 gols. Uma vez que temos o valor representando 1/6, para obter o total de gols (ou seja, 6/6), simplesmente multiplicamos 15 por 6. Isso nos dá 90 gols.

Portanto, o total de gols marcados no campeonato foi de 90.

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Answer:

  see below

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between triangle sides and trig functions. For the angle of interest, the diagram shows values for the Opposite side (12) and the Adjacent side (16.5). The mnemonic tells you that these are related to the Tangent of the angle:

  Tan = Opposite/Adjacent

  tan(θ) = (12/16.5)

Answer:

11.2

Step-by-step explanation:

20 percent of 14 is 2.8 14 minus 2.8 is 11.2

A complimentary angle has to add up two angles to equal 90 degrees.

We have one angle which is 43.5 degrees, so all we have to do is subtract 43.5 degrees from 90 degrees to find the missing angle.

90 degrees minus 43.5 degrees is 46.5 degrees.

That means the missing angle is 46.5 degrees.

It should be noted that the complementary angles is 46.5°.

From the information given, measure of an angle is 43.5 degree. It should be noted that the sum of the angles in complementary angles equal 90°.

Therefore, the value of the remaining angle will be:

= 90 - 43.5°

= 46.5°

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Answer:

( 11 b 2 + 7 ) ( 11 b 2 − 7 )

Step-by-step explanation:

Answer:

121b⁴ − 49 = (11b² + 7) • (11b² - 7)

Step-by-step explanation:

The difference of two squares.

Step 1: reformat equation

11²b² - 49

Step 2: Factoring: 121b⁴- 49

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Factorization is : (11b² + 7) • (11b² - 7)

Answer:

foot = 12 inches

Step-by-step explanation:

Answer:

1 2/4

Step-by-step explanation: 2/4 * 3 = 1 2/4

Answer:

Yes we need to convert measurements to same unit to determine whether she purchased the right amount of ribbon or not.

Mimi purchased 5 yards of ribbon which is less than what she needed that is 5.5 yards

Step-by-step explanation:

Yes we need to convert measurements to same unit to determine whether she purchased the right amount of ribbon or not.

We cannot compare two different units therefore, we are always required to convert all the measurements into a single unit for the sake of comparison.  

Mimi needs eleven pieces of rhinestone ribbon.

Each piece is 18-inch long.

So the total amount of ribbon that she need is

Total amount needed = 11*18

Total amount needed = 198 inches

Convert the amount of ribbon from inches to yards

1 yard is equal to 36 inches

Total amount needed = 198/36

Total amount needed = 5.5 yards

But Mimi purchased 5 yards of ribbon which is less than what she needed that is 5.5 yards.

Buying options:

$6 per yard

$55 for whole spool

Since Mimi needs 5.5 yards or round it to nearest whole because ribbon is sold in per yard basis so 6 yards of ribbon will cost

Cost = $6*6 = $36

$36 are less than $55 therefore, it is better to buy on per yard basis rather than the whole spool of ribbon.

Answer:

The median number of miles that Sam drove during those months is 1044 miles

Step-by-step explanation:

The median separates the upper half from the lower half of a set. So 50% of the values in a data set lie at or below the median, and 50% lie at or above the median.

For a set of n values

First we order the values in an increasing way.

If n is odd, the median is the value at the position (n+1)/2

If n is even, the median is the average of the values at the positions n/2 and (n/2) + 1

In this problem:

6 values

Ordered in an increasing way:

880, 997, 1002, 1086, 1534, 1637

6 is an even value.

6/2 = 3. The third element is 1002

6/2 + 1 = 4. The fourth element is 1086.

Average: (1002 + 1086)/2 = 1044

The median number of miles that Sam drove during those months is 1044 miles

The equation of the line that has a slope of 5/2 and passes through the point (4, -9) is y = 5/2x -19.

The equation of a line in slope-intercept form is given by the formula y = mx + b, where m is the slope and b is the y-intercept. We're given that this line has a slope of 5/2 and it passes through the point (4, -9).

Plugging the known values into the equation, we get: -9 = (5/2) * 4 + b. By solving for b, we find the y-intercept of the line.

-9 = 10 + b --> b = -9 - 10 = -19

So the equation of the line in slope-intercept form is y= 5/2x - 19

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Answer:40 hr and  35 hr

Step-by-step explanation:

Given

Harris family sprinkler output rate is [tex]20\ L/\text{per hour}[/tex]

and Baker family sprinkler output rate is [tex]35\ L/\text{per hour}[/tex]

Total output of two is [tex]2025\ L[/tex]

Suppose Harris family sprinkler used for [tex]t_1[/tex] time and Baker family for [tex]t_2 [/tex]time then

[tex]20\times t_1+35\times t_2=2025\quad \ldots(i)[/tex]

and [tex]t_1+t_2=75[/tex]

[tex]t_1=75-t_2[/tex]

Substitute the value in [tex](i)[/tex]

[tex]\Rightarrow 20\times (75-t_2)+35t_2=2025[/tex]

[tex]\Rightarrow 1500-20t_2+35t_2=2025[/tex]

[tex]\Rightarrow 15t_2=525[/tex]

[tex]\Rightarrow t_2=\frac{525}{15}[/tex]

[tex]\Rightarrow t_2=35\ hr[/tex]

[tex]\therefore \ t_1=75-35=40\ hr[/tex]

Therefore Harris family use [tex]40\ hr[/tex] of sprinkler and Baker family use [tex]35\ hr[/tex] of sprinkler

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

4

Answer:

(a) The standard error of the mean in this experiment is $0.052.

(b) The probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c) The probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d) The likelihood that the sample mean is greater than $3.92 is 0.9726.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the distribution of sample mean is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]n=40\\\mu=\$3.82\\\sigma=\$0.33[/tex]

As n = 40 > 30, the distribution of sample mean is [tex]\bar X\sim N(3.82,\ 0.052^{2})[/tex].

(a)

The standard error is the standard deviation of the sampling distribution of sample mean.

Compute the standard deviation of the sampling distribution of sample mean as follows:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

    [tex]=\frac{0.33}{\sqrt{40}}\\\\=0.052178\\\\\approx 0.052[/tex]

Thus, the standard error of the mean in this experiment is $0.052.

(b)

Compute the probability that the sample mean is between $3.78 and $3.86 as follows:

[tex]P(3.78<\bar X<3.86)=P(\frac{3.78-3.82}{0.052}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{3.86-3.82}{0.052})[/tex]

                               [tex]=P(-0.77<Z<0.77)\\=0.77935-0.22065\\=0.5587[/tex]

Thus, the probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c)

If the difference between the sample mean and the population mean is less than $0.01 then:

[tex]\bar X-\mu_{\bar x}<0.01\\\\\bar X-3.82<0.01\\\\\bar X<\$3.83[/tex]

Compute the value of [tex]P(\bar X<3.83)[/tex] as follows:

[tex]P(\bar X<3.83)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{3.83-3.82}{0.052})[/tex]

                    [tex]=P(Z<0.19)\\=0.57535\\\approx 0.5754[/tex]

Thus, the probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d)

Compute the probability that the sample mean is greater than $3.92 as follows:

[tex]P(\bar X>3.92)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{3.92-3.82}{0.052})[/tex]

                    [tex]=P(Z<1.92)\\=0.97257\\\approx 0.9726[/tex]

Thus, the likelihood that the sample mean is greater than $3.92 is 0.9726.

The standard error is 0.0522. The probability of the sample mean lying in a certain range and the difference from the population mean being less than a certain value can be determined using Z-scores and a Z-table. The likelihood of the sample mean being more than a certain value can also be determined in the same way.

An economist is using the average price of a gallon of milk to measure inflation. The average price ($3.82) and the population standard deviation ($0.33) is known. Here are answers to your questions:

a. Standard Error of the mean: The Standard error (SE) is calculated by dividing the standard deviation by the square root of the sample size. So SE = Standard Deviation / √n = 0.33 / √40 = 0.0522 per gallon.

b. Probability of the sample mean between $3.78 and $3.86: This is a Z-score question. Z = (X- µ)/SE. So, first find the Z-scores for $3.78 and $3.86, and then find the probability corresponding to these Z-scores from the Z-table. This probability is the chance that the sample mean is between $3.78 and $3.86.

c. Probability of the difference: Similarly, find the Z-score for the difference of $0.01 and look up the probability in the Z-table. This gives the likelihood of the sample mean being less than $0.01 away from the population mean.

d. Likelihood the sample mean is greater than $3.92: Use the same method to work out the Z-score for $3.92. The Z-table gives you the probability of the sample mean being less than $3.92, so subtract that from 1 to get the probability of it being more than $3.92.

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Answer:

Step-by-step explanation:

The diagram is shown in the image attached.

A tangent is a line that intercepts at one unique point. When we have a tangent about a circle, an important results is that the tangent is perpendicular to the radius, because a radius can be seen as perpendicular to any point of the circle.

That means, the triangle formed ADC is a right triangle, because [tex]\angle D= 90\°[/tex].

Now, we know that [tex]CD=23[/tex] and [tex]CA=28[/tex], which are leg and hypothenuse, respectively.

So, to find [tex]m \angle C[/tex] we just need to use trigonometric reasons, specifically, the cosine funtion, because it relates the adjacent leg and the hypothenuse.

[tex]cos(C)=\frac{CD}{CA}=\frac{23}{28} \\C=cos^{-1}(\frac{23}{28} ) \approx 35 \°[/tex]

Therefore, the measure of angle C is 35°, approximately.

The question seems to seek the measure of angle mZC using properties of tangents and circles, but the provided references don't offer a clear method to find it with the given data. Therefore, it is not possible to calculate the angle without additional information or a specific figure.

Given the information in the question, we are asked to find the measure of angle m√C in a circle where segment CD is tangent to the circle at point D, CD = 23, and CA = 28. The problem seems to be related to the properties of tangents and circles, specifically the tangent-secant theorem which states that if a tangent and a secant (or diameter) intersect at the point of tangency, the square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part (in this case, CD and DA).

However, the extracted references do not provide a clear or direct method for calculating the measure of angle m√C. The references are disjointed and relate to various other unrelated geometrical and physical contexts, like vector differences, spherical triangles, and integral segments.

Without a specific figure or more context, it is not possible to accurately determine the measure of angle m√C based solely on the information provided.

Answer:

2 people

Step-by-step explanation:

Total number of people (n) = 50

Borderlands II (B) = 20

Fortnite (F) = 33

Minecraft (M) = 19

Borderlands and Fortnite (B&F) = 15

Borderlands and Minecraft (B&M)= 10

All games (B&M&F) = 5

The number of people that claimed more than one game as their favorite (X) is given by:

[tex]X=M+B+F-n\\X=19+20+33-50\\X=22\ people[/tex]

Those people can be divided in B&F only, B&M only, M&F only and B&M&F:

[tex]X=(B\&M-B\&M\&F)+(B\&F-B\&M\&F)+(M\&F-B\&M\&F)+B\&M\&F\\X=B\&M+B\&F+M\&F-2*B\&M\&F\\22=10+15+M\&F-2*5\\M\&F=7\ people[/tex]

7 people claimed that Minecraft and Fortnite were their favorites however, 5 of those people claimed all of the games as their favorite. Therefore, only 2 people declared Minecraft and Fortnite (exclusively) as their favorites.

Answer:

2

Step-by-step explanation:

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.3 minutes with a standard deviation of 1.5 minutes.

Let [tex]\mu[/tex] = mean waiting time.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\geq[/tex] 10 minutes      {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 10 minutes      {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

                     T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean waiting time = 7.3 minutes

             s = sample standard deviation = 1.5 minutes

             n = sample of occasions = 18

So, test statistics  =  [tex]\frac{7.3-10}{\frac{1.5}{\sqrt{18}}}[/tex]  ~ [tex]t_1_7[/tex]

                              =  -7.637

The value of t test statistics is -7.637.

Now, the P-value of the test statistics is given by the following formula;

               P-value = P( [tex]t_1_7[/tex] < -7.637) = Less than 0.05%

Since, our P-values of test statistics is less than the level of significance as 0.05% < 1%, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

[tex]h'(x) = 3x^2 - 12x^3[/tex]

to find the critical points you equal the first derivative to 0  and get that

[tex]3x^2 - 12x^3 = 0, x = 0,1/4[/tex]

To find if they are maximums or local minimums you use the second derivative.

[tex]h''(x) = 6x-36x^2[/tex]

since [tex]h''(0) = 0[/tex] is neither an inflection point, and since [tex]h''(1/4) = -3/4 <0[/tex] then 1/4 is a maximum.

Answer:

It would be answer 3

Step-by-step explanation:

Because it is one in the actual maximum height

Answer:

Each value of time is associated with exactly one height.

Step-by-step explanation:

Answer:

(-2,0)   and (0,2)

Step-by-step explanation: I GOT IT RIGHT ON EDGINUITY

THANK ME LATER!!

Answer:

Step-by-step explanation:

Answer above is right!

Answer:

slope = -3

Step-by-step explanation:

1) Rearrange eqn into slope intercept form

slope intercept form: y = mx + b

where...

m = the slope

b = the y-intercept (where the line crosses the y axis)

3x + y = 12

y = -3x+12

2) Know parallel rule. A line that runs parallel has the same slope but a different y-intercept

So the slope is: -3

Answer:

4(x-3)(x+6)

Step-by-step explanation:

Factor out the 4

4(x2 + 3x - 18)

what 2 numbers add to 3 and multiply to - 18?

-3 and 6

therefore 4x2 + 12x − 72 = 4(x-3)(x+6)

Answer:

(4x² + 24x)- (12x + 72)

4x( x+ 6)- 12(x + 6)

ans = (4x - 12)(x + 6)

Answer: the probability is 0.25

Step-by-step explanation:

We have 10 numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Of those, the odd ones are:

1, 3, 5, 7, 9

So we have 5 odd numbers.

The probability that the outcome is an odd number is equal to the number of odd numbers divided the total number of numbers:

p = 5/10 = 0.5

For the second spin the probability is the same, p = 5/10, because the first outcome does not affect the results of the second spin.

The probability of spining an odd number both times, then is the joint probability for two times this same event:

P = (5/10)(5/10) = 0.5*0.5 = 0.25

or 25% in percent form

Answer:

Step-by-step explanation:

CORRECT ANSWER IS : $641.51

Use the compound interest formula and substitute the given values: A=$500(1+0.0254)4(10). Simplify using the order of operations: A=$500(1.00625)40=$500(1.283026821)≈ $641.51.

After ten years, Matthew will have $641.51 in the account, rounded to the closest penny.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. [tex]A = P(1 + r/n)^{nt[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

We can use the formula for compound interest to calculate how much money Matthew will have in the account after 10 years:

[tex]A = P(1 + r/n)^{nt[/tex]

Where:

A = final amount

P = principal (initial amount invested) = $500

r = annual interest rate (as a decimal) = 0.025

n = number of times interest is compounded per year = 4 (quarterly)

t = time in years = 10

Plugging in the values, we get:

[tex]A = 500(1 + 0.025/4)^(4*10)\\A = 500(1.00625)^{40}\\A = 500(1.305011)[/tex]

A = $641.51

Therefore, Matthew will have $641.51 in the account after 10 years, rounded to the nearest cent.

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Answer:

figure it out

Step-by-step explanation:

Using the sine ratio (SOH), the approximate value of x to the nearest tenth is: 4.6 cm.

The sine ratio in Trigonometry is given as: sin ∅ = opposite/hypotenuse.

Thus, given:

∅ = 50°

Hypotenuse = 6 cm

Opposite = x cm

Plug in the values in to the sine ratio:

sin 50 = x/6

x = sin 50 × 6

x = 4.6 cm

Therefore, using the sine ratio (SOH), the approximate value of x to the nearest tenth is: 4.6 cm.

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Answer:

(See explanation for further details)

Step-by-step explanation:

An approach is handling the trigonometric equation so that number of trigonometric functions can be reduce to one, in order to determine the periodicity of complete expression and therefore, to determine the complete set of solutions.

Answer:

a) The function that represents the amount of water as a function of time is

f(x) = 30,000 - 400x

b) The amount of water left in the sink after half an hour of starting to empty it

= 18,000 litres

c) The time it will take to empty the sink completely = 75 minutes.

Step-by-step explanation:

English Translation

A sink is emptied with a pump that extracts water at the rate of 400 liters per minute. when turning on the pump in the sink there were 30000 liters of water.

a) The time (in minutes) from when the pump is turned on is called x. find the function that represents the amount of water left in the sink as a function of time

b) Determine the amount of water left in the sink after half an hour of starting to empty it.

c) Determine the time it will take to empty the sink completely?

a) Speed is a quantity that is described as the rate of change of another quantity with time.

So, the speed of emptying the sink is given as

Speed = (Amount of water emptied) ÷ (Time taken to empty that amount of water).

The Speed of emptying the sink is given as 400 litres/min

Time taken to empty the sink = x

Let the amount of water left in the sink, a function of the time taken to empty the sink, be f(x)

Amount of water emptied = 30,000 - f(x)

400 = [30000 - f(x)] ÷ x

30000 - f(x) = 400x

f(x) = 30,000 - 400x

b) Determine the amount of water left in the sink after half an hour of starting to empty it.

f(x) = 30000 - 400x

x = 30 mins

f(x) = 30000 - 400(30) = 18,000 litres

c) Determine the time it will take to empty the sink completely?

f(x) = 30000 - 400x

when the sink is completely empty, the amount of water left in the sink is 0 litres, that is, f(x) = 0 litres

0 = 30000 - 400x

400x = 30000

x = (30000/400) = 75 minutes.

Hope this Helps!!!

the answer is b I'm sure