Hyla has blocks of clay that are each 4 centimeters by 4 centimeters by 2 centimeters. She needs to cover the bottom of a box with a 2-centimeter tall layer of clay. The bottom of the box is 24 centimeters long and 20 centimeters wide. How many blocks of clay does Hyla need?

The claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The data which is collected from two random samples of a total 500 American students on the number of hours spend in school per day.

The mean of the data from sample A and B is,

[tex]\text{Mean}=\dfrac{4(70+80)+5(100+90)+6(125+120)+7(135+125)+8(70+85)}{70+80+100+90+125+120+135+125+70+85}\\\text{Mean}=\dfrac{6080}{1000}\\\text{Mean}=6.08[/tex]

The mean is approx 6 hours in school each day.

Now, Meg concludes that mean of students is 7 hours in school each day while Tara thinks the mean is 6 hours.

Thus, the claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

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Area

Answer:

whats the question

Step-by-step explanation:

Answer

[tex]x=\frac{11}{3}[/tex]

Explanation

Based on the given conditions, formulate:: [tex]y=3[/tex]

Substitute [tex]y=3[/tex] into [tex]y=-6x+25[/tex] :: [tex]3=-6x+25[/tex]

Rearrange variables to the left side of the equation: [tex]6x=25-3[/tex]

Calculate the sum or difference: [tex]6x=22[/tex]

Divide both sides of the equation by the coefficient of variable: [tex]x=\frac{22}{6}[/tex]

Cross out the common factor: [tex]x=\frac{11}{3}[/tex]

The statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have data:

Yard Works: 7, 9, 7, 12, 5

Grow Station: 9, 11, 6, 12, 7

The mean for yard works = 40/5 = 8

The mean for grow station = 45/5 = 9

The mean absolute deviation for yard work = 2

The mean absolute deviation for grow station = 2

The correct statements are:

Thus, the statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

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Answer: A, C, E.

Step-by-step explanation: I got it right on the test

Answer:

1 gal =231 cu/in

r^2pi*ht=area

36pi*7=    791.68cu/in

231*3.25=750cu/in

              41.68/(r^2pi)

            =41.65/113.1=.368"

Step-by-step explanation:

Note that 1 gallon = 231 cubic inches.

Volume of liquid = 231 cubic inches = PI*R^2*H  (equation for volume of a cylinder)

We have a radius (half diameter), so we can figure out the height of the liquid.  

To figure how far below the top the liquid is, we subtract the height of the liquid from the height of the punch bowl (7 inches).

The appropriate next step according to materials covered in this course is to examine post hoc pairwise comparisons.

Pairwise Comparisons is known to be a kind or type of post-hoc analysis, where a person can compare the mean differences to that of a critical value.

Note that a post hoc tests tell a person, the key differences that exist  between three or more set of means when an analysis of variance (ANOVA) F test is said to be significant just as in the case above.

See options below

Examine post hoc pairwise comparisons

Examine Levene’s test of equality of variance

Examine the results for each DV with 6 ANCOVAs

Examine the results for each DV with 6 ANOVAs

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Answer:

Lake A

Step-by-step explanation:

FIrst off I am not sure how this connects with the lake but based on what I have seen and learned so far I would say that the Answer to #3 on the last question is Lake A and for the second part based on the data set I am unsure of how to do that but at least u got the answer to #3? sorry if this is no help.

Answer:

Total is 24

HALF THE TOTAL- 12

Impossible event- Picking a black marble

Certainty- Picking either one of a green, red, or blue marble

As likely as not event would be picking a blue marble(probability of that is 12/24= 1/2)

More likely than not event would be picking either a red or blue marble whose probability in total is 18/24= 3/4.

Unlikely event- You not picking anything at all

Step-by-step explanation:

Hi. Took me some time to attempt all problems, but the key to solving these problems is to ahve a firm foundation of basic probability. Things like likeliness and unlikelieness are all outskirts of probability, so I would reccomend getting yourself familiar with those basics. You GOT THIS!

Answer:

P = 20

Step-by-step explanation:

Mean

If you can observe

ABC is an equilateral triangle

so

∆DEB is also equilateral triangle

Answer:

20%

Step-by-step explanation:

sry if wrong byeeeeee

Answer:

2/935

Step-by-step explanation:

I have attached an image of the equation to use. Assuming that this is without replacement, we'll be taking out one piece out of the bag every time that one is chosen.

Therefore, for probability, the fraction is part/whole. We first have 9 red to 36 pieces in total, but if we take one out, we'll get 8 red left in the bag, and 35 pieces in total. This continues until we fulfill the prophecy (I don't know. qualifications?) that 4 of the pieces are red.

You can try this for yourself, but once simplified, it should be 3024/1413720, which simplifies to 2/935.

Please let me know if you need more clarification or have issues! probability can be confusing :)

Answer:

2/935

Step-by-step explanation:

dito^

Answer:

10x+4b+3

Step-by-step explanation:

x+x+x+x+x+x+x+x+x+x+b+b+b+b+3

There are 10 x

4 b

and one number

10x+4b+3

Answer:

10x+4b+3

Step-by-step explanation:

x+x+x+x+x+x+x+x+x+x+b+b+b+b+3

So when we add them we get 10x and 4b, which makes the equation

=> 10x+4b+3

Answer: 17.4

Step-by-step explanation: Area of a Square

Area of a rectangle = s².

s is the side length.

Area of Circle

4 quarter circles equals a full circle.

Area of a full circle = πr².

There are four quarter circles in the diagram given, therefore:

Area of the shaded region = area of square - area of full circle

= 9² - π(4.5²)

= 17.38.

Therefore, the area of the shaded region, to the nearest tenth, is about: 17.4 m².

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Answer:

Discount  = $4.50
Discounted Price = $40.50

Step-by-step explanation:

First you need to find what 10% of $45 is. To do that you need to divide $45 by 10 or just move the decimal point one space to the left. The answer would be $4.50. Then, you need to subtract $4.50 from $45 as we are calculating the discounted price. The answer would be $40.50.

Equation:
$45 ÷ 10 = $4.50 (discount)
$45 - $4.50 = $40.50 (discounted price)

The Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We know the formula for the Z-test:

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

(a) For Boris:

[tex]\rm Z = \dfrac{67-60}{4.3}[/tex]

Z = 1.627

(b) For Callie:

[tex]\rm Z = \dfrac{119-110}{7.1}[/tex]

Z = 1.267

(c) Since the measures of two different data have been set to one measure and the value of the Z-score for Boris is higher relative to the Z-score value of Callie so Boris scored higher relatively.

Thus, the Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

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Answer: [tex]4b+14[/tex]  

[tex]2*(2b+7)[/tex]

Step-by-step explanation:

[tex](8-b)+(5b+6):8-b+5b+6[/tex]

[tex]-b+5b+8+6[/tex]

[tex]-b+5b+14[/tex]

[tex]=4b+14[/tex]

Reason:

Complementary events have their probabilities add to 1.

P(A)+P(B) = 1

P(B) = 1 - P(A)

For example,

P(A) = the chance it rains = 30% = 0.30

P(B) = the chance it doesn't rain

P(B) = 1 - P(A) = 1 - 0.30 = 0.70 = 70%

The equation that relates the probability of A and B is P(B) = 1 - P(A).

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

As per the given data:

We are given two events, event A and event B.

We are also given the relationship between the two events.

It's given that A and B are complements of each other.

Let's assume that the probability of the event B is P(B).

The sample space for this situation when only 2 events are there will be

(A, B)

We are given that A and B are complements of each other.

This means that the complement of A is equal to the probability of event B.

P(A') = 1 - P(A)

P(B) = P(A')

∴ P(B) = 1 - P(A)

The equation that relates the probability of A and B is P(B) = 1 - P(A).

Hence, The equation that relates the probability of A and B is P(B) = 1 - P(A).

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The Volume of the given solid using polar coordinate is:[tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

V= [tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

To find the volume in polar coordinates bounded above by a surface z=f(r,θ) over a region on the xy-plane, use a double integral in polar coordinates.

Consider the cylinder,[tex]x^{2}+y^{2} =1[/tex] and the ellipsoid, [tex]4x^{2}+ 4y^{2} + z^{2} =64[/tex]

In polar coordinates, we know that

[tex]x^{2}+y^{2} =r^{2}[/tex]

So, the ellipsoid gives

[tex]4{(x^{2}+ y^{2)} + z^{2} =64[/tex]

4([tex]r^{2}[/tex]) + [tex]z^{2}[/tex] = 64

[tex]z^{2}[/tex] = 64- 4([tex]r^{2}[/tex])

z=± [tex]\sqrt{64-4r^{2} }[/tex]

So, the volume of the solid is given by:

V= [tex]\int\limits^{2\pi}_ 0 \int\limits^1_0{} \, [\sqrt{64-4r^{2} }- (-\sqrt{64-4r^{2} })] r dr d\theta[/tex]

= [tex]2\int\limits^{2\pi}_ 0 \int\limits^1_0 \, r\sqrt{64-4r^{2} } r dr d\theta[/tex]

To solve the integral take, [tex]64-4r^{2}[/tex] = t

dt= -8rdr

rdr = [tex]\frac{-1}{8} dt[/tex]

So, the integral  [tex]\int\ r\sqrt{64-4r^{2} } rdr[/tex] become

=[tex]\int\ \sqrt{t } \frac{-1}{8} dt[/tex]

= [tex]\frac{-1}{12} t^{3/2}[/tex]

=[tex]\frac{-1}{12} (64-4r^{2}) ^{3/2}[/tex]

so on applying the limit, the volume becomes

V= [tex]2\int\limits^{2\pi}_ {0} \int\limits^1_0{} \, \frac{-1}{12} (64-4r^{2}) ^{3/2} d\theta[/tex]

=[tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(64-4(1)^{2}) ^{3/2} \; -(64-4(2)^{0}) ^{3/2} ] d\theta[/tex]

V = [tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

Since, further the integral isn't having any term of [tex]\theta[/tex].

we will end here.

The Volume of the given solid using polar coordinate is:[tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

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Answer:

40%

Step-by-step explanation:

see photo for explanation of answer

====================================

[tex]\large \sf \underline{Problem:}[/tex]

Is the following linear or nonlinear?

m = n 2 - 7n - 54

a) linear

b) nonlinear

====================================

[tex]

\large \sf \underline{Answer:}[/tex]

A. Linear

====================================

[tex]\large \sf \underline{Explanation:}[/tex]

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

====================================

The amount of interest she will earn in one year will be 5 dollars and 12 cents.

The normal interest levied on the amount borrowed from any bank on a yearly basis is called the simple interest.

Given that:-

The simple interest amount will be:-

SI   =   (  P   x   R   x   T  )  / 100

SI  =    (  160   x   x   3.2   x   1  )  /   100

SI   =    $5.12

Therefore the amount of interest she will earn in one year will be 5 dollars and 12 cents.

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Answer:

20

Step-by-step explanation:

pythagorean theorum

a^2+b^2=c^2

4^2+3^2=c^2

16+9=25

[tex]\sqrt{25}[/tex]=5

5*4=20

Answer:

no the height of the tree doesnt determine the heiht of the box, thatd be a pretty large box if so