Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is true?
a.)Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard. 3 times 3 = 9
b.)Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height. 3 times 3 = 9
c.)Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.
d.) Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft Times 3 ft Times 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.

Answer:

Answers are below.

Step-by-step explanation:

x2 - 2 x = 4 x + 12

x2+ 12 x = 0

x2 + 8 = 0

9x2 + 6 x - 3 = 0

These are all quadratic equations because they have x2 in all of them.

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Answer:

x^2 - 2x = 4x + 1

2x^2 + 12x = 0

9x^2 + 6x - 3 = 0.

Step-by-step explanation:

A quadratic equation will contain a term with an exponent of 2 as the highest exponent.

Answer: 1,694

Step-by-step explanation: 11(11d + 3z + 8) d = 10 and z = 12

                                             121d + 33z + 88

                                             121(10) + 33(12) + 88

                                             1210 + 396 + 88

                                             1,694

Answer:

15

Step-by-step explanation:

1/6 of 90 is 15

The number of times 3 should be selected is 45/2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that;

Number of spins= 90

Number of selected= 3

Now,

If the spinner has 4 equal sections and one of them has a 3, then the probability of landing on 3 is 1/4.

To find the expected number of times that the spinner lands on 3 in 90 spins, we need to multiply 1/4 by 90.

=1/4 * 90

=45/2

Therefore, by algebra the answer will be 45/2.

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Answer:

5/8 * pi r^2

Step-by-step explanation:

First , you find the full area of the circle

A = pi r^2

Then multiply by the fraction that you want to find

5/8 * pi r^2

Answer: 78

Step-by-step explanation: Remember every triangle ads up to a total of 180 degrees. You just have to make sure that it adds up to 180

Answer:

24x - 17y + 8z

Step-by-step explanation:

ANSWER: It is false that All equations are identities, but not all identities are equations, as all identities are equations, but only some equations are identities.

HOPE THIS HELP

Answer:-1.125

Step-by-step explanation:

Answer:

1) [tex]0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588[/tex]    

[tex]0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219[/tex]    

b) [tex] ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653[/tex]

And we want 2/3 of the margin of error so then would be: [tex] 2/3 ME = 0.00001111[/tex]

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]    (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

[tex]n=(\frac{z_{\alpha/2} s}{ME})^2[/tex]   (2)

Replacing we got:

[tex]n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12[/tex]

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

[tex]\bar X=0.0826052[/tex] represent the sample mean

[tex]\mu[/tex] population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size  

Part 1

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom, given by:

[tex]df=n-1=5-1=4[/tex]

The Confidence level is 0.95 or 95%, and the significance would be [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the critical value would be using the t distribution with 4 degrees of freedom: [tex]t_{\alpha/2}=2.776[/tex]

Now we have everything in order to replace into formula (1):

[tex]0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588[/tex]    

[tex]0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219[/tex]    

Part 2

The original margin of error is given by:

[tex] ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653[/tex]

And we want 2/3 of the margin of error so then would be: [tex] 2/3 ME = 0.00001111[/tex]

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]    (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

[tex]n=(\frac{z_{\alpha/2} s}{ME})^2[/tex]   (2)

Replacing we got:

[tex]n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12[/tex]

So the answer for this case would be n=12 rounded up to the nearest integer

Answer:

y=3x-1

Step-by-step explanation:

start at (-1,-4) and go up 6 and over 2, thats your slope or m.

the y intercept is -1

Answer: y=3x-1

Step-by-step explanation:

(1,2)  and (-1,-4) are on the so we could use then to find the slope.

2-(-4)=6

1-(-1)= 2

6/2=3  

We know the y-intercept is -1 because the line passes through (0,-1) which is on the y axis.  And the y-intercept is when x is  0.

so the equation will be y = 3x -1

Answer:

21 days.

Step-by-step explanation:

You just divide the total number of miles by miles traveled a day.

8925÷425=21

It will takes 21 days.

Answer:21 days

Step-by-step explanation:

Answer:

Congruent

Step-by-step explanation:

Answer:

I think is congruent, but I m not sure

One solution was found :

                   x = 9

Answer:

102 degrees.

Step-By-Step Explanation:

We know that D is x and E is 1/2x and Angle F is 2 less than angle D.

So if we use the sum of 180 and solve for x, we will find angle D.

This is the equation: x+.5x+2x-2=180

solve:              3.5x -2 = 180

                             +2     +2

                           3.5x=182

                            /3.5x   /3.5x

                               X = 52

2(52)-2 = 102 degrees

Thus the answer is 102  degrees

hope this helped:)

Answer:

102º

Step-by-step explanation:

Answer: A 1/10

Step-by-step explanation: edge 2021

Answer:

5/y-3z

Step-by-step explanation:

Quotient is division

Product is multiplication

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The equivalent value of the expression is A = 5/y - 3z

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = quotient of 5 and y, decreased by the product of 3 and z

Now , quotient of 5 and y = 5/y

And , product of 3 and z = 3z

So , On simplifying the expression , we get

A = 5/y - 3z

Hence , the equation is A =  5/y - 3z

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Answer:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Right skewed

Mean $206,274

Standard deviation $37,881.

Sample:

By the Central Limit Theorem, approximately normal.

Mean $206,274

Standard deviation [tex]s = \frac{37881}{\sqrt{100}} = 3788.1[/tex]

So the correct answer is:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.

Given :

According to the central limit theorem the approximately normal mean is $206274.

Now, to determine the approximately normal standard deviation, use the below formula:

[tex]s =\dfrac{\sigma }{\sqrt{n} }[/tex]   ---- (1)

where 's' is the approximately normal standard deviation, 'n' is the sample size, and [tex]\sigma[/tex] is the standard deviation.

Now, put the known values in the equation (1).

[tex]s = \dfrac{37881}{\sqrt{100} }[/tex]

s = 3788.1

[tex]\rm s \approx 3788[/tex]

So, the correct option is A).

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Answer:

Equation : y = -0.9x − 1.5

Step-by-step explanation:

Slope is rise over run, 7 over 8

-7/8 = -0.875, round to nearest tenth

-0.875 = -0.9

y- intercept is the point that crosses the y-axis,

the line crosses the y-axis at -1.5

Answer:

  (1, 2)

Step-by-step explanation:

Subtract the second equation from the first:

  (y) -(y) = (6x -4) -(-x +3)

  0 = 7x -7 . . . . .  simplify

  0 = x - 1 . . . . . . divide by 7

  1 = x . . . . . . . . . add 1

  y = -1 +3 = 2 . . . substitute into the second equation

The solution is (x, y) = (1, 2).

Answer: $22,063.2

Step-by-step explanation:

quarterly means that 4 times per year this interest, the balance can be find by the equation:

A = P*(1 + r/4)^(4*t)

Where P is the initial value, r is the rate of increase (7.3% in this case, but remember that you must use the decimal form; 0.073) and t is the number of years:

so we have:

B = $6,000*( (1 + 0.073/4)^(4*18) = $22,063.2

Answer:

Step-by-step explanation:

The number of times that each song is played is reducing in arithmetic progression. We would determine the total number of time for plating all the songs in a week by applying the formula for determining the sum of the n terms in an arithmetic sequence. It is expressed as

Sn = n/2(2a + (n - 1)d

Where

d represents the common difference

n represents the number of terms

a represents the first term of the sequence

Sn represents the sum of n terms if the sequence.

From the information given,

a = 60

n = 60

d = - 1

Sn = 60/2(2 × 60 + (60 - 1)-1)

Sn = 30(120 - 59)

Sn = 1830 times

The 60 songs are played for 1830 times in a week. If each song takes 3 minutes to play, then the total time taken to play the songs for 1830 times in a week is

3 × 1830 = 5490 minutes

7 days = 1 week

24 hours = 1 day

60 minutes = 1 hour

The number of minutes in a week is

7 × 24 × 60 = 10080 minutes

The station also has 24 ten-minute news breaks each day. The number of minutes of break for each day is

24 × 10 = 240 minutes

The amount of break time in a week is

240 × 7 = 1680 minutes

If the remaining minutes is meant for advertising, then the number if minutes available for advertising is

10080 - (5490 + 1680) = 2910 minutes

1 minute = 60 seconds

2910 minutes = 2910 × 60 = 174600 seconds

If the station charges $100 for every 30 seconds of advertising, then the amount that they take in each week(for 174600 seconds) is

(174600 × 100)/30 = $5820000

Answer:

There is enough evidence to support the claim that the mean number of days until a home is sold is different than the Hamilton county mean of 86 days in the nearby county.

Test statistic t=-1.8974

P-value = 0.0326

Step-by-step explanation:

The question is incomplete:

"In Hamilton County, Ohio the mean number of days needed to sell a home is 86 days (Cincinnati Multiple Listing Service, April, 2012). Data for the sale of 40 homes in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. Conduct a hypothesis test to determine whether the mean number of days until a home is sold is different than the Hamilton county mean of 86 days in the nearby county. Round your answer to four decimal places."

This is a hypothesis test for the population mean.

The claim is that the mean number of days until a home is sold is different than the Hamilton county mean of 86 days in the nearby county.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=86\\\\H_a:\mu< 86[/tex]

The significance level is 0.05.

The sample has a size n=40.

The sample mean is M=80.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=20.

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

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{20}{\sqrt{40}}=3.1623[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{80-86}{3.1623}=\dfrac{-6}{3.1623}=-1.8974[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=40-1=39[/tex]

This test is a left-tailed test, with 39 degrees of freedom and t=-1.8974, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-1.8974)=0.0326[/tex]

As the P-value (0.0326) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean number of days until a home is sold is different than the Hamilton county mean of 86 days in the nearby county.

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Yes. As the y value is 0, this point would be on the x axis

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Answer:

D=A^-1

Step-by-step explanation:

Given that A is invertible and matrix D satisfies AD=I

Where I is an identity matrix

D is the inverse of A

Multiply both sides of AD=I by A^-1

A^-1(.AD) =A^-1 I

A^-1 .A=I

Therefore D=A^-1

Answer:

[tex] \frac{16}{12} \: \: < \frac{9}{3} [/tex]

9/3 is greater

Step-by-step explanation:

[tex] \frac{16}{12} \: \: \: \: \: \: \: \: \: \: \frac{9}{3} \\ \frac{16}{12} \: \: \: \: \: \: \: \: \: \: \frac{9 \times 4}{3 \times 4} \\ \frac{16}{12} \: \: \: \: \: \: \: \: \: \: \frac{36}{12} \\ \frac{16}{12} \: < \: \frac{36}{12} \\ \\ so \\ \frac{16}{12} < \frac{9}{3} [/tex]

Answer:

the answer is attached to the picture

Answer:

The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.

Step-by-step explanation:

We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane

In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.

The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.

This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).

Answer:

c. point c

Step-by-step explanation:

Answer:

Step-by-step explanation:

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

H₀: u = 50

H₁: u ≠ 50

Null hypothesis: The production line produce bags of candy has an average of exactly 50 candies per bag.

Alternative hypothesis: The production line produce bags of candy does not have an average of exactly 50 candies per bag.

Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample mean is too big or if it is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 1.0

Test Statistic

t = (x - u) / SE

t = - 2.0

DF = n - 1

D.F = 24

where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.

Since we have a two-tailed test, the P-value is the probability that the t statistic having 24 degrees of freedom is less than -2.0 or greater than 2.0.

Thus, the P-value = 0.057

Statistic result

Interpret results. Since the P-value (0.057) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test we have sufficient evidence in the favor of the claim that the production line produce bags of candy with an average of exactly 50 candies per bag.

Answer:

the savings is 6000

Step-by-step explanation:

We are told that the ratio of savings to expenditure is 2: 8, that is, that person saves 2 when he spends 8.

They tell us to find the savings when the cost is 24,000, so we are left with:

24000 * 2/8 = 6000

which means that when 24000 are spent the savings is 6000

Answer:

Central graph

Step-by-step explanation:

When a function has a negative rate of change, it means that as the x value increases, the y value decreases. The only graph that does this continuously is the central one. Hope this helps!

The calculated product of the numbers is 1000

The graph with a negative rate to be (c)

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

100 times 10

When represented as an equation, we have

100 times 10 = 100 * 10

Evaluate the products

So, we have the following result

100 times 10 = 1000

Next, we interpret the graph

From the graphs, we have the graph with a negative rate to be (c)

Using the above as a guide, we have the following:

the result is 19/125

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Answer:

90 copies

Step-by-step explanation:

24*3= 72

1/2*24= 12 for 30 seconds

1/2*6= 6 for 15 seconds

45/15=3

72+18= 90