Write three hundred eighty-seven thousandths as a decimal number.
​

Answer:

An estimated 20 environmental scientists favor recycling.

Step-by-step explanation:

Assuming this sample set of 20 environmental scientists in our state are a proportionally accurate representation of all 200 scientists, we can solve for the total number of scientists who prefer recycling to the other waste disposal methods by representing them in a ratio:

prefer recycling : total scientists

                     2    :   20

Looking at this ratio, we can see that multiplying the right side (20) by 10 will give us 200 scientists, so if we multiply the entire ratio by that amount, the left side will be the number of scientists who prefer recycling proportionate to the 200 scientists, which will be the total because that is how many scientists are in the state.

prefer recycling : total scientists

                       2 : 20

                   × 10  × 10

                    20 : 200

So, an estimated 20 environmental scientists favor recycling.

Answer: 8 = |-8| = True   |5| = 5  = True  -3 = |3|  =  False     -|18| = -18   =  False   2 = |2|    = True     |-1.5| = -1.5   = False

Step-by-step explanation: The bars mean that the number is always positive

Answer:

I hope you understand

48 = 2⁴×3

60 = 3 × 2²× 5

300= 2² × 5² × 3

The density of blue jays in the 20-hectare plot is 15 blue jays per hectare.

To calculate the density of blue jays per hectare in a 20-hectare plot with 300 blue jays, follow these steps:

1. Identify the number of blue jays (300) and the area of the plot in hectares (20 hectares).
2. Divide the number of blue jays by the area of the plot in hectares.

So, the calculation is: 300 blue jays ÷ 20 hectares = 15 blue jays/hectare

Therefore, the density of blue jays in the 20-hectare plot is 15 blue jays per hectare.

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Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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The equation of a circle in the xy-plane is found as (x + 2)² + (y - 1)² = 5.

A circle is a two-dimensional closed figure in which the set of all points with in plane is equidistant from the a given point known as the "centre."

Circle Formula: (x - h)² + (y - k)² = r² ;

Where, (h, k) is the centre & r is the radius of the circle.

Use the distance formula for(-2, 1) and (0,2)

\(\begin{aligned}&r=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \\&r=\sqrt{(0+2)^2+\left(2-1\right)^2} \\&r=\sqrt{(2)^2+\left(1\right)^2}\end{aligned}\)

Further simplifying;

r = √(4 + 1)

r = √5

Centre (h, k) = (-2, 1)   Radius (r) = √5.

(x - h)² + (y - k)² = r²

(x + 2)² + (y - 1)² = √5²

(x + 2)² + (y - 1)² = 5 is the equation of the circle.

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Answer:

i. Rotate

ii. Translates

Step-by-step explanation:

Rigid transformations are the methods required in which the orientation, dimension, position, or size of a given figure can be transformed. Some types of rigid transformation are: rotation, translation, reflection, etc.

From the given question, the two rigid transformation procedure required for Madison to prove that ΔABD ≅ ΔCDB by rigid transformations are: rotation and translation.

Madison decides to rotate ΔABD \(180^{o}\) about point B to create triangle A'B'D'. Next she translates A'B'D' along diagonal BD until point B' from ΔA'B'D' lines up with point d from ΔCDB.

Therefore,

ΔABD ≅ ΔCDB

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

I guess 5 is the answer as 5×5×5=125

Hope it helps you

Answer:

5

Step-by-step explanation:

Find the cube root of 125

125^(1/3) =

5^3 ^(1/3) =

5

Answer:

x3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12/2 = 6 , 6-2=4 . 12+4 =16

Answer:

x = -9

-8x + -56 = 16

-8x - 56 = 16

-8x = 16 + 56

-8x = 72

x = 72/8

x= -9

Answer:

-9

Step-by-step explanation:

-8x + (-56) = 16

Take away -56 from both sides

-8x = 72

Divide both sides by -8

x = -9

The coordinates in rectangular form are listed below:

(r, θ) = (9, π / 6): (x, y) = (7.79, 4.5)

(r, θ) = (3, 3π / 4): (x, y) = (- 2.12, 2.12)

(r, θ) = (0, π / 4): (x, y) = (0, 0)

(r, θ) = (10, - π / 2): (x, y) = (0, - 10)

In this question we must convert four coordinates in polar form into rectangular form, this conversion is defined by following expression:

(r, θ) → (x, y), where:

x = r · cos θ, y = r · sin θ

Where:

Now we proceed to find the rectangular coordinates for each case:

(r, θ) = (9, π / 6)

(x, y) = (9 · cos (π / 6), 9 · sin (π / 6))

(x, y) = (7.79, 4.5)

(r, θ) = (3, 3π / 4)

(x, y) = (3 · cos (3π / 4), 3 · sin (3π / 4))

(x, y) = (- 2.12, 2.12)

(r, θ) = (0, π / 4)

(x, y) = (0 · cos (π / 4), 0 · sin (π / 4))

(x, y) = (0, 0)

(r, θ) = (10, - π / 2)

(x, y) = (10 · cos (- π / 2), 10 · sin (- π / 2))

(x, y) = (0, - 10)

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Answer:

15 cans

Step-by-step explanation:

There are two shapes that make up the dog house, they are the triangular and rectangular prism, with the combination of a semi-circle and rectangle as the door opening.

The area of a rectangle for the top ( T ) and bottom ( B ) side view:

top height = 3ft, and width= 8ft

bottom height = 4.5ft, width= 8 ft

Area ( T ) = 3 X 8 = 24 ft^2

Area ( B ) = 4.5 X 8 = 36ft^2

The front and back view is a triangle and rectangle:

area of triangle = 1/2 x base x height

with the base = 4ft,   and  sides= 3 ft

height = sqrt( side^2 - (1/2 height)^2 )^0.5

          = sqrt( 9 - 4 )  = 2.235

area of triangle( front and back )  = 1/2( 4 x 2.235 ) = 4.47 ft^2

area of rectangle ( back ) = 4 x 4.5 = 18ft

The entrance is a rectangle with area = 2.5 x 2 = 5ft^2

and semi-circle with area = (πr^2)/2 = (3.14 x 1^2)/2 = 1.57ft^2

area of entrance = 5 + 1.57 = 6.57ft^2

area of front view = 18 - 6.57 = 11.43ft^2

the total area of the doghouse is = 11.43 + 18 + 72 + 48 + 8.94  = 158.37ft^2

this is for just the outside. to get the total for inside and outside:

      158.37 x 2 = 316.74ft^2

total area per paint can = 20ft^2

total number of cans needed = 316.74 / 20  = 15 paint cans

Answer:

6 cans are needed to paint the dog house.

Step-by-step explanation:

The corresponding English sentence for p^q is "It is quiet and we are in the library."

1. A x B:

A = {3, 5, 7}

B = {x, y}

A x B = {(3, x), (3, y), (5, x), (5, y), (7, x), (7, y)}

2. Relation p:

p = {(a, b) : a + b > 5}

The elements in relation p are:

{(3, 4), (3, 5), (3, 6), (3, 7), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7)}

3. Adjacency matrix for relation p:

The adjacency matrix for relation p on {1, 2, 3, 4} is:

0 0 0 0

0 0 0 0

0 0 0 0

1 1 1 1

4.Relation r:

r is the relation xry iff y = x/2.

The elements in relation r are:

{(0, 0), (2, 1), (4, 2), (8, 4)}

5. Proposition p: It is quiet

q: We are in the library

The English equivalent for pq is "It is quiet and we are in the library."

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Step-by-step explanation:

you should give points to x and find y

and then you will have some points of x and y

Answer:

7hours and 16 minutes

Step-by-step explanation:

8:15-9:15 is one hour. 9:15-10:15 is two hours. 10:15-11:15 is three hours.11:15-12:15 is four hours. 12:15-1:15 is five hours. 1:15-2:15 is six hours. 2:15-3:15 is seven hours. 3:15-3:31 is 16 minutes.

In linear equation, 256.28 is the cost of her ticket .

What is the most effective way to explain linear equations?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).

                          In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x. A linear equation is an algebraic equation of the form y=mx+b.

=  149 * .72

= 107.28

= 149 + 107.28

= 256.28

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The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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The difference between 19.79 and 9.08 is found by subtracting the two numbers.

Hence,

The estimate of the difference is done in the following manner.

19.79 is close to 20 and 9.08 is close to 9; therefore, the easier subtraction we have to do is 20 - 9 = 11.

It would take the automated car wash 20 hours to wash 120 cars.

What is rate ?

In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.

In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.

The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

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The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

Answer:

I think it's the second one

Step-by-step explanation:

Answer:

I'm thinking the answer is the second one. –a ≤ –12 or a > –5

Step-by-step explanation:

Well for –a ≤ –12, the symbol means less than or equal to so that is why -12 has a dot on it. For a > –5, it makes sense because -5 does not have a dot which means it is greater than 5 but not equal to 5.

Answer:

2x + 50 is the area

so now find the area of the not shaded region

which is 2x + 2

subtract that from the answer

2x + 50 - 2x + 2

52

The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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Answer:

I do not know

Step-by-step explanation:

uhhm I'm just going to guess maybe 10,700 or 1114 or 17777 0r 2000

The critical values for a two-tailed t test of this claim is ± 2.131.

From the question, we have

The null and alternative hypothesis are listed below. u = 41

Additional Hypothesis: 41

Region of Rejection

This test has two tails, with = 0.05 and df = 15.

T has a critical range between -2.131 and 2.131.

Therefore, if t =-2.131 or t =2.131, reject H0.

Hypothesis:

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings.

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Answer:

Your answers 5 :)

Step-by-step explanation:

I took the test and i did it in my head ignore the other person, thanks please mark brainliest!

Answer:

i have your answer!

Step-by-step explanation:

your answer is five, hope this helps