The triangle shown below has an area of 444 units^2 2 squared. Find the missing side.

Answer:

It would me shorter by about 31.4 inches

Step-by-step explanation:

Answer:

yes (longer)

Step-by-step explanation:

20π=62.83...

62.83...x10=628.31...

628.31.../12=52.35'

step one, finding circumference.

step two multiplying circumference by 10 pizzas

step three dividing 10x circumference by 12 inches to feet.

Answer:

There are 52 weeks in a year

Total of 5 years

Step-by-step explanation:

Per Week the Miles are 300 miles

Total Miles over the course of 5 years = Miles per Week * Number of Weeks in a Year * Number of Years

How did i solve this:

Total Cost of New Car = Total Cost of Gas + Total Insurance Premium + Purchase Price of New Car = 5460 + 4500 + 20,000 = $29,960  

Total Cost of New Car = $29,960

Answer: = 300 * 52 * 5 = 78,000 miles in 5 years

Plz mark brainliest

Hope this helps.

Answer:

0-3 and there

Step-by-step explanation:

1. if the person who is zero or a woman or woman would like

2. I think the same way I think it is a lot more minutes and more than a lot

Answer:

-8 and-2

Step-by-step explanation:

its because oe of the point is on the -2 and one is on the -8 also did it on edg  2020

Answer:

Graph A

Step-by-step explanation:

A linear association means that the dots form a line

Answer:

The answer is A

Step-by-step explanation:

A linear association is when the dots on the graph create a straight line. A creates a straight line therefore it is a linear association.

Answer:

Step-by-step explanation:

Here,

[tex]H_0:\sigma _1 = \sigma _2\\\\H_1:\sigma_1 \neq \sigma_2[/tex]

a) Test Statistic

[tex]F = \frac{S_1^2}{S_1^2} \\\\=\frac{0.37^2}{1,89^2} \\\\=0.04[/tex]

b) Critical value for

[tex]\sigma = 0.1[/tex]

degrees of freedom is

[tex](n_1 - 1, n_2 -1)[/tex]

d.f =(5 - 1, 5 - 1)

d.f = (4, 4)

Fcritical=

[tex]F_{0.1},(4,4)\\\\[/tex]

Fcritical = 4.11

Critical value = 4.11

Here,

F test Statistic < critical value

so we fail to reject null hypothesis H₀

Conclusion

There is insufficient evidence to conclude the standard deviations are different.

we may assume they are equal.

Answer:

Hope this is correct

Answer:

(a) A(0)= 0 (kg)

(b) [tex]R_{in}=0.28\dfrac{kg}{min}[/tex]

(c) [tex]C(t)=\dfrac{A(t)}{2840}[/tex]

(d) [tex]R_{out}=\dfrac{A(t)}{710}[/tex]

(e) [tex]\dfrac{dA}{dt}=0.28-\dfrac{A(t)}{710}[/tex]

Step-by-step explanation:

A tank contains 2840L of pure water.

A solution that contains 0.07 kg of sugar per liter enters a tank at the rate 4 L/min. The solution is mixed and drains from the tank at the same rate.

(a) Amount of sugar initially in the tank.

Since the tank initially contains pure water, the amount of sugar in the tank

A(0)= 0 (kg)

(b) Rate at which the sugar is entering the tank. (kg/min)

[tex]R_{in}[/tex]=(concentration of sugar in inflow)(input rate of the solution)

[tex]=(0.07\dfrac{kg}{liter}) (4\dfrac{liter}{min})\\R_{in}=0.28\dfrac{kg}{min}[/tex]

(c) Concentration of sugar in the tank at time t

Volume of the tank =2840 Liter

Concentration c(t) of the sugar in the tank at time t

Concentration, C(t)= [tex]\dfrac{Amount}{Volume}[/tex]

[tex]C(t)=\dfrac{A(t)}{2840}[/tex]

(d) Rate at which the sugar is leaving the tank

[tex]R_{out}[/tex]=(concentration of sugar in outflow)(output rate of solution)

[tex]=\dfrac{A(t)}{2840})( 4\dfrac{Liter}{min})=\dfrac{A}{710}\\R_{out}=\dfrac{A(t)}{710}[/tex]

(e) Differential equation representing the rate at which the amount of sugar in the tank is changing at time t.

[tex]\dfrac{dA}{dt}=R_{in}-R_{out}\\\dfrac{dA}{dt}=0.28-\dfrac{A(t)}{710}[/tex]

Answer:

2y=5x

Step-by-step explanation:

-3x+5y=2x+3y

5y=5x+3y

2y=5x

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation [tex]S'(t)= -30t^{2} + 420t[/tex]. The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

[tex]\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\ S(t)= -10t^{3} +210t^{2} \\[/tex]

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

[tex]Given\ S(t) = -10t^{3} + 210t^{2}[/tex]

[tex]S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860[/tex]

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

[tex]S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720[/tex]

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

Answer:

A, B, C, D, and F are all solutions.

Step-by-step explanation:

All of the possible answers are correct except for E. Answer E is 0.001 less than -4 which would not make the equation true. Hope this helps!!

Answer:

  y +2 = (1/2)(x -4)

Step-by-step explanation:

The given line's equation is in the slope-intercept form ...

  y = mx + b

where m is the slope and b is the y-intercept. Matching your equation to this one, you see that m = -2. That is, the slope of the given line is -2.

The slope of the perpendicular line will be the opposite of the reciprocal of this slope, so will be ...

  -1/(-2) = 1/2

__

We can use the desired slope and given point in the point-slope form of the equation of a line:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Filling in the values we want, m=1/2, (h, k) = (4, -2), gives us the equation ...

  y +2 = (1/2)(x -4) . . . . the equation of your line

__

This can be rearranged to any of several other forms

  y = 1/2x -4 . . . . . slope-intercept form

  x -2y = 8 . . . . . . standard form

Answer:

 y +2 = (1/2)(x -4) did it on college board

Step-by-step explanation:

Answer:

Volume of the hemisphere will be 57 cubic units.

Step-by-step explanation:

A quarter circle which intersects the x-axis at (-3, 0) when rotated around the y-axis, 3-D figure formed will be a hemisphere.

As shown in the figure attached,

Radius of the hemisphere formed = 3 units

Volume of the hemisphere = [tex]\frac{1}{2}(\frac{4}{3})\pi (r)^{3}[/tex]

                                             = [tex](\frac{2}{3})\pi (r)^{3}[/tex]

                                             = [tex]\frac{2}{3}\pi (3)^{3}[/tex]

                                             = 18π

                                             = 56.55 cubic units

                                             ≈ 57 cubic units

Therefore, volume of the hemisphere will be 57 cubic units

Answer:

[tex]\large \boxed{\$98.16}[/tex]

Step-by-step explanation:

Assume that your map looks like the one below.

1. Calculate the distance

It looks like the distance on the map is 12 cm.

[tex]\text{Distance} = \text{12 cm} \times \dfrac{\text{30 mi}}{\text{1 cm}} = \text{ 360 mi}[/tex]

2. Calculate the volume of gasoline

[tex]\text{Volume} = \text{ 360 mi} \times \dfrac{\text{1 gal}}{\text{15 mi}} = \text{24 gal}[/tex]

3. Calculate the cost of the gasoline

[tex]\text{Cost} = \text{24 gal} \times \dfrac{\$4.09}{\text{1 gal}} = \mathbf{\$98.16}\\\\\text{It will cost $\large \boxed{\mathbf{\$98.16}}$ to drive to the ski lodge.}[/tex]

Answer: C

Step-by-step explanation:

When looking at compound inequalities, the inequalities are very important. You can see that on the graphs, there are some points that have a white open circle and others have blue, closed circle. The 2 different circles tells you the inequality itself. If you see ≤ or ≥, it is a closed circle. This is a closed circle because it is less than/greater than or equal to. That means it is also equal to the point, therefore it is a closed circle. If you see < or >, it is an open circle. That means it is not closed because it is greater than. It is not equal to on that specific point.

Now that we have covered the basics, we can start to eliminate. our first condition is n<-2. Above, we have established that < is an open circle. We can eliminate A and B because the points on -2 are both closed circles.

That leaves us with C and D. Since C and D both follow the points, let's look carefully at what the inequality tells us. n<-2 means n is less than -2. This means the arros should be pointing in the left side. As you go more towards the negative, the smaller the number becomes.

We can eliminate D because at -2, the numbers are going towards the right, not the left.

Therefore, our answer is C.

Answer:

78 stamps

Step-by-step explanation:

50 stamps collected after 3 days

4 stamps added a day

next 7 days added= 7*4= 28 stamps

Total after 10 days= 50+28= 78 stamps

Answer:

A 206 degrees

Step-by-step explanation:

circles have a total of 360 degrees

360-154 = 206

If this helps please consider giving me brainliest.

Answer:

206°

Step-by-step explanation:

<JLK = 360° -154 ° = 206°

Note : angle at a point is 360°.

Answer:

700

Step-by-step explanation:

Since 3 + 4 = 7, then 300 + 400 = 700

Answer: 700

Step-by-step explanation:

300+400

700

easier way to do it in your brain is

4+3 is 7 and add the 2 zeros

so the answer is 700

Hope this helps :)

Answer:

A , B and E.

Step-by-step explanation:

the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.

The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check  whether the compost is given or not. choice B is also correct

it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the CAI technique performs differently than the traditional method (P-value = 0.1844).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the CAI technique performs differently than the traditional method.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=11.7\\\\H_a:\mu\neq 11.7[/tex]

The significance level is 0.1.

The sample has a size n=23.

The sample mean is M=11.3.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1.4.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1.4}{\sqrt{23}}=0.29[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{11.3-11.7}{0.29}=\dfrac{-0.4}{0.29}=-1.37[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=23-1=22[/tex]

This test is a two-tailed test, with 22 degrees of freedom and t=-1.37, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=2\cdot P(t<-1.37)=0.1844[/tex]

As the P-value (0.1844) is bigger than the significance level (0.1), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the CAI technique performs differently than the traditional method.

An equation that represents a line that is perpendicular to the given line is [tex]2y=3x+1[/tex].

Given the following data:

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

To determine an equation that represents a line that is perpendicular to the given line:

In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).

Mathematically, this is given by the formula:

[tex]m_1 \times m_2 = -1[/tex]

Note: Slope, [tex]m_1[/tex] = [tex]\frac{2}{3}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\frac{2}{3} \times m_2=-1\\\\2m_2=-3\\\\m_2=\frac{3}{2}[/tex]

For the perpendicular line:

[tex]y=mx+b\\\\y=\frac{3}{2}x +1\\\\2y=3x+1[/tex]

Read more on perpendicular line here: https://brainly.com/question/20475360

Answer:

275 square inches

Step-by-step explanation:

Here we have to give us various measurements, but we do not know to which figure it corresponds since you do not attach it, but I have found an image where they asked the same questions and it makes sense that it is the question, the attached one.

We have that the rectangle is 15 inches long and the width corresponds to the same as the base of the triangle, that is, 5 inches, therefore, the area of the rectangle would be:

A = l * w

A = 15 * 5

A = 75

75 in ^ 2 but how are 3 rectangles would be:

75 * 3 = 225

225 in ^ 2 would be the area of the 3 rectangles, it would be necessary to add the area of the two triangles that would be:

A = b * h / 2

replacing:

A = 5 * 10/2

A = 25

25 in ^ 2 for the triangle, but being 2, they would be 50 ^ 2, now in total they would be:

225 + 50 = 275

In other words, the surface area of the figures is 275 square inches

Answer:

I and III are true.

Step-by-step explanation:

I. The distribution of sample means for sample size n will have a mean of μ.

TRUE. The sampling distribution, or the distribution for the sample means of any size n, will have the same mean as the population.

II. The distribution of sample means for sample size n will have a standard deviation σ.

FALSE. The standard deviation of the sampling distribution depends on the sample size, with the relation:

[tex]\sigma_s=\dfrac{\sigma}{\sqrt{n}}[/tex]

III. The distribution of sample means will approach a normal distribution as n approaches infinity.

TRUE. As the sample size increases, according to the Central Limit Theorem, the sampling distribution will have approximate to a bell-shaped distribution.

Answer:0.9966

Step-by-step explanation:

Given

Probability that flash light does not  work is [tex]P_o=0.15[/tex]

If owner has 3 three flashlights then

Probability that atleast one of them works [tex]=1-P(\text{none of them works})[/tex]

Probability that flashlight will work [tex]=1-P_o=1-0.15[/tex]

[tex]=0.85[/tex]

Required Probability[tex]=1-0.15\times 0.15\times 0.15[/tex]

[tex]=1-0.003375[/tex]

[tex]=0.9966[/tex]

Now, Probability that second works given that first works is given by

[tex]P=P(\text{First works})\times P(\text{Second works})[/tex]

[tex]P=0.85\times 0.85[/tex]

[tex]P=0.7225[/tex]

Answer:

(2x + 3)3

Step-by-step explanation:

Simplify:  (2x+3)(3)

Answer: (2x + 3)3

Hope this helps.

Answer:

10 years.

Step-by-step explanation:

Let total age of five people be x;

x/5 = 40

x = 40*5

x = 200.

Let age of new person be y;

(200 + y)/ 6 = 35

200 + y = 210

y = 210-200

y= 10.

The age of the new person is 10.

See ya!

Hope it helps!

Answer:

[tex]\boxed{\sf \ \ \ 10 \ y\ old \ \ \ }[/tex]

Step-by-step explanation:

Hello,

let s note a, b, c, d, e the age of the 5 people

we can say that

   [tex]\dfrac{a+b+c+d+e}{5}=40[/tex]

So [tex]a+b+c+d+e=5*40=200[/tex]

Now there is another person , let s note his age x

we can write

   [tex]\dfrac{a+b+c+d+e+x}{6}=35\\<=> a+b+c+d+e+x=6*35=210\<=> x = 210 - (a+b+c+d+e)[/tex]

but we know that a+b+c+d+e = 200 so

x = 210 - 200 = 10

hope this helps

[tex]\frac{3}{2}k - 7 = \frac{k}{4} - 2[/tex]

Since our fractions have two different denominators of 2 and 4 in this equation, we can get rid of the fractions by multiplying both sides of the equation by their common denominator, which is 4.

So we have [tex](4)(\frac{3}{2}k - 7) = (\frac{k}{4} - 2)(4)[/tex].

Make sure you distribute the 4 through both

terms on both sides of the equation.

On the left, (4)(3/2k) is 6k and (4)(-7) is -28.

On the right, (4)(k/4) is k and (4)(-2) is -8.

So we have 6k - 28 = k - 8.

Now subtract k from both sides to get 5k - 28 = -8.

Now add 28 to both sides to get 5k = 20.

Finally, dividing both sides by 5, we find that k = 4.

Answer:

Total no. of buttons = 300 + 700 + 1000

+ 500 = 2500

Possibility for a person to pick a pink button = 300/2500 = (3/25)%

Amount of pink buttons she can expect her friends to pick = 50(3/25) = 6

She can expect to make 6 pink barrettes

Step-by-step explanation:

Answer:

Because of the presence of an outlier (30), an extremely higher value when compared to others. Outliers affects the value of mean, thereby mean should not be used for data with outliers.

Step-by-step explanation:

For the set of data above, it would be misleading to use the mean as the center of measure for the number of points that she scored in each game because of the presence of outliers, the presence of extremely lower or extremely higher value makes the use of mean as a measure of central tendency inaccurate because the mean take into consideration all the values in a data including the outliers for its calculation, and the mean would tend to shift towards the outliers thereby misinterpreting the data. The presence of outlier which is 30 in the data given would shift the mean to the right towards 30, thereby misleading to represent the measure of central tendency. 30 is an outlier because it is extremely higher than the rest of the data (10,8,9,8,30).

In the presence of outliers it's best to use median or mode as an acceptable measure of central tendency.

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Answer:

4/51

Step-by-step explanation:

The probability of rolling a 2 is 1/6.

There are a total of 17 cards, so the probability of a blue card is 8/17.

The probability of both events is:

(1/6) (8/17) = 4/51

We want to find the probability of rolling a 2 and then getting a blue card. We will see that this probability is equal to 0.078

First, we must find the probability of rolling a 2 with a six-sided dice.

A six-sided dice has 6 possible outcomes, only one of these is a 2, then the probability of rolling a 2 is just:

p = 1/6

Then we find the probability of drawing a blue card.

There are:

So there is a total of 3 + 8 + 6 = 17 cards, and 8 of these are blue, then the probability of randomly drawing a blue card is:

q = 8/17

The joint probability is given by the product of the two individual probabilities, so we get:

P = p*q = (1/6)*(8/17) = 0.078

So the probability of rolling a 2 and then getting a blue card is P = 0.078

If you want to learn more about probability, you can read:

https://brainly.com/question/17223269