A triangular pyramid has three dimensions.

-The sides of the base are 5 centimeters, 12 centimeters, and 13 centimeters.

-The height is 12 centimeters

What is the volume of the pyramid?

A) 120 cm^3

B) 360 cm^3

C) 240 cm^3

D)720 cm^3

Answer:0.19

Step-by-step explanation:

0.07 or 7 hundredths.

Answer:

A one-liter bottle of soda has a mass of about 1 kilogram.

Answer:

mean = 7.98; standard deviation = 2.52

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Answer:

Doesn’t show image

Step-by-step explanation:

Answer:

B,C

Step-by-step explanation

Pitcher 1 does not have a symmetric data set.

Pitcher 2 has a symmetric data set.

Answer:

The slope of the line is 2.2 or 11/5

Step-by-step explanation:

I graphed the points on the graph below and found the slope of the line.

The slope of the line is 11/ 5.

The slope is equal to the change in y over the change in x, or rise over run.

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m = (y₂−y₁)/(x₂−x₁)

Substituting the values of x and y into the equation to find the slope.

m = (5 − ( − 6 ))/(−4−(−9))

m =11/5

Therefore, the Slope of the line is 11/ 5.

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Answer:

what do you need answered?

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

khan academy

Answer:

  B) x = e^x

Step-by-step explanation:

The graphs of y = e^x and y = x never intersect, so the solution set will be the empty (null) set for ...

  x = e^x

_____

There is one intersection of y=x with cos(x) and with sin(x). There are an infinite number of solutions for x = tan(x).

The volume of Christina's cube-shaped coin bank is calculated by cubing the length of one of its sides, which is 7 inches. The volume is therefore 7 × 7 × 7, or 343 cubic inches.

The volume of Christina's cube-shaped coin bank can be calculated using the formula for the volume of a cube, which is Volume = side × side × side. As all sides of a cube are equal and the coin bank is 7 inches wide and 7 inches tall, we can calculate the volume by multiplying 7 inches by 7 inches by 7 inches.

Calculation:

Volume = 7 in. × 7 in. × 7 in. = 343 cubic inches

Hence, the volume of Christina's coin bank is 343 cubic inches.

Final answer:

The volume of Christina's cube-shaped coin bank is calculated using the cube volume formula and is found to be 343 cubic inches.

Explanation:

To calculate the volume of Christina's coin bank, we use the formula for the volume of a cube, which is Volume = side³, where 'side' is the length of one side of the cube. Since the coin bank is 7 inches wide and 7 inches tall, each side is 7 inches. Thus, the volume of the coin bank is:

Volume = 7 in. × 7 in. × 7 in. = 343 in.³

Therefore, Christina's coin bank has a volume of 343 cubic inches.

Answer:

-70

Step-by-step explanation:

40-8-102

= 32 - 102

= -70

To evaluate the expression 40 - 8 - 102, subtract 8 from 40 to get 32, then subtract 102 from 32 to arrive at -70.

40 - 8 - 102

To solve this expression, we need to follow the order of operations. In this case, since there are only subtraction operations involved, we can proceed from left to right.

40 - 8 = 32

32 - 102 = -70

This gives us the final answer: -70.

Answer:

144

Step-by-step explanation:

To find the p-value from the given data in Excel, populate your data in Excel sheet into various columns for each variable. Then, use the 'Regression' tool under 'Data Analysis' in the 'Data' tab, selecting the appropriate ranges for dependent and independent variables. Ensure that the 'P-Values' box is checked before clicking 'OK'. Excel will then generate the regression analysis with the p-value.

In Excel, you can perform regression analysis to deduce the p-value from this data using the following steps:

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Answer:

[tex]\sqrt[4]{10x^2}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{5x}.\sqrt[4]{2x} = \sqrt[4]{5x * 2x} = \sqrt[4]{10x^2}[/tex]

Answer:

(10x²)^¼

Or,

10^¼ × x^½

Step-by-step explanation:

(5x)^¼ × (2x)^¼

[5x × 2x]^¼

(10x²)^¼

10^¼ × (x²)^¼

10^¼ × x^½

Answer:

$3,256.2

Step-by-step explanation:

First, we need to get 3% of 3,460. Find the decimal value of 3%:

3% -> [tex]\frac{3}{100}[/tex] -> 0.03

Next, lets multiply 3,460 by 0.03:

[tex]x=3,460(0.03)[/tex]

[tex]x=103.8[/tex]

Now subtract that number from 3,460:

[tex]3,460-103.8=3,356.2[/tex]

Lastly, lets take the $100 fee off of the number we just got:

[tex]3,356.2-100=3,256.2[/tex]

The new amount is $3,256.2

Answer:

3% fee is taken out of an initial amount of $3,460, and then a $100 fee is taken after that, leaving a new amount of $3,256.2.

explanation:

The surface area of the cylinder, when the radius is 3 centimeters and the height is 4 centimeters, is approximately 131.88 square centimeters.

Use the provided formula for the surface area of a cylinder:

[tex]\[ SA = 2\pi r (h + r) \][/tex]

Given:

[tex]r = 3 \text{ centimeters}[/tex]

[tex]h = 4 \text{ centimeters}[/tex]

Now, substitute these values into the formula and calculate the surface area:

[tex]SA = 2\pi \times 3 \times (4 + 3)[/tex]

[tex]SA = 2\pi \times 3 \times 7[/tex]

[tex]SA = 6\pi \times 7[/tex]

[tex]SA = 42\pi[/tex]

Now, let's calculate the numerical value:

[tex]SA \approx 42 \times 3.14[/tex]

[tex]SA \approx 131.88 \text{ square centimeters}[/tex]

Therefore, the surface area of the cylinder, when the radius is 3 centimeters and the height is 4 centimeters, is approximately 131.88 square centimeters.

Answer:

We are 95% confident that the true weight of the rock is between 25.2 g and 29.1 g.

Step-by-step explanation:

Hello!

A geology student weighted a rock 5 times and estimated the average weight using a 95% CI [25.2; 29.1]gr

The confidence interval is used to estimate the value of the population mean, it gives you a range of values for it.

The 95% level of confidence of the interval indicates that if you were to construct 100 confidence intervals to estimate the population mean, you'd expect 95 of them to include the true value of the parameter.

So with a 95% confidence level, you'd expect the true average weight of the rock to be included in the interval  [25.2; 29.1]gr

I hope this helps!

Answer:

The margin of error for the mean is of 165.18 points.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 81 - 1 = 80

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9901

The margin of error is:

M = T*s = 1.9901*83 = 165.18.

In which s is the standard deviation of the sample.

The margin of error for the mean is of 165.18 points.

Final answer:

The answer discusses z-scores for SAT scores, calculating scores above the mean, and comparing performance on different tests.

Explanation:

Z-score for SAT score of 720:

Calculate the z-score: z = (720 - 520) / 115 = 1.74.

Interpretation: A score of 720 is 1.74 standard deviations above the mean.

Math SAT score 1.5 standard deviations above the mean:

Calculate the score: 520 + 1.5(115) ≈ 692.5.

The score of 692.5 is 1.5 standard deviations above the mean of 520.

Better performance on math tests:

For SAT: z = (700 - 514) / 117 ≈ 1.59.

For ACT: z = (30 - 21) / 5.3 ≈ 1.70.

Person with a z-score closer to 2 performed better relative to the test they took.

Answer:

  2√11

Step-by-step explanation:

The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:

  h² = 6² +8² = 100

The length of x is given by that same theorem:

  h² +x² = 12²

  x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value

  x = √44 . . . . . . . . take the square root

  x = 2√11 . . . . . . . simplify the root

Answer:-2048

Step-by-step explanation:

First term(a)=1

Common ratio(r)=-2/1 or 4/-2

Common ratio(r)=-2

nth term=a x r^(n-1)

12th term=1 x (-2)^(12-1)

12th term=1 x (-2)^11

12th term=(-2)^11

12th term=-2048

The 12th term of the geometric sequence 1, −2, 4, .... is equal to -2048.

In Mathematics and Geometry, the nth term of any geometric sequence can be determined by using the following formula:

[tex]a_n=a_1(r)^{n-1}[/tex]

Where:

In this context, the common ratio would be determined as follows;

Common ratio, r = a₂/a₁

Common ratio, r = -2/1

Common ratio, r = -2

Now, we can determine the 12th term in the sequence defined by this explicit rule;

[tex]a_n=a_1(r)^{n-1}\\\\a_{12}=1(-2)^{12-1}\\\\a_{12}=(-2)^{-11}\\\\a_{12}=-2048[/tex]

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1/4

Step-by-step explanation:

1/4 is the original fraction of 3/12 simplified

Final answer:

The probability of the spinner landing on an orange section is 1/4 or 0.25, meaning there is a 25% chance it will land on orange.

Explanation:

The question involves calculating the probability of a spinner landing on a specific color. If a spinner has 12 equal-sized sections and three of them are orange, to find the probability of landing on orange, we use the ratio of the number of orange sections to the total number of sections. In this case, there are 3 orange sections and 12 sections in total, so the probability (P) is:

P(orange) = Number of orange sections / Total number of sections

P(orange) = 3 / 12

P(orange) = 1 / 4

Therefore, the probability that the spinner will land on orange is 1/4 or 0.25, which means there's a 25% chance the spinner will land on an orange section.

Answer:

Hello,

Here is your answer:

The proper answer to this question is 87300000000000000.

Here is how:

8.73e16=87300000000000000.

Your answer is 87300000000000000.

If you need anymore help feel free to ask me! 

Hope this helps!

(P.S. REMEMBER E IS EXPONET OR ^)

Answer:

The 99% confidence interval for the true mean amount of time Americans spend social networking each day is (3.02 hours, 3.36 hours).

Step-by-step explanation:

The (1 - α)% confidence interval for population mean when the population standard deviation is not known is:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]

The information provided is:

[tex]n=24\\\bar x=3.19\ \text{hours}\\s=0.2903\ \text{hours}[/tex]

Confidence level = 99%.

Compute the critical value of t for 99% confidence interval and (n - 1) degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.01/2, (24-1)}=t_{0.005, 23}=2.807[/tex]

*Use a t-table.

Compute the 99% confidence interval for the true mean amount of time Americans spend social networking each day as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]

     [tex]=3.19\pm 2.807\times \frac{0.2903}{\sqrt{24}}\\\\=3.19\pm 0.1663\\\\=(3.0237, 3.3563)\\\\\approx (3.02, 3.36)[/tex]

Thus, the 99% confidence interval for the true mean amount of time Americans spend social networking each day is (3.02 hours, 3.36 hours).

Answer:

[tex]9^{2}[/tex]

Step-by-step explanation:

Answer:

[tex]9^{7}[/tex]

Step-by-step explanation:

There are 7 9s being multiplied together.  This can be written as 9 to the 7th power or [tex]9^{7}[/tex]

Answer:

6x+9

3(2x+3)

Step-by-step explanation:

Combine like terms

2x+9+3x+x

6x+9

We can factor out 3

3(2x+3)

Answer:

6x + 9

Step-by-step explanation:

2x + 9 + 3x + x =

6x + 9

Answer:an isosceles triangle cannot be an equilateral triangle

Step-by-step explanation:

An isosceles triangle cannot be an equilateral triangle

Final answer:

An isosceles triangle has at least 2 equal sides and an equilateral triangle has all sides equal. All equilateral triangles are isosceles triangles, but not all isosceles triangles are equilateral triangles.

Explanation:

An isosceles triangle has at least 2 equal sides, while an equilateral triangle has all sides equal. Therefore, the sentence 'All isosceles triangles are equilateral triangles' is not true because not all isosceles triangles have all sides equal. On the other hand, the sentence 'All equilateral triangles are isosceles triangles' is true because every equilateral triangle automatically has at least 2 equal sides. Furthermore, it is possible for an equilateral triangle to not be an isosceles triangle if all three sides are not equal in length. So, the sentence 'An isosceles triangle cannot be an equilateral triangle' is not true.

Answer:

10 green cubes

Step-by-step explanation:

The total number of cubes is 8+2+10 = 20

The probability of drawing a green cube when there is replacement is

P(green) = green cubes/ total

               =2/ 20

              = 1/10

Multiply the probability by the number of draws to get the total number of cubes

1/10 * 100 draws = 10 green cubes

Expect 10 green cube draws in 100 pulls, with 8 red and 10 blue cubes also present.

To calculate the expected number of times a green cube is drawn, we can use the concept of probability.

In each pull, there are 20 cubes in total (8 red + 2 green + 10 blue). So, the probability of drawing a green cube in a single pull is:

[tex]\[ P(\text{green}) = \frac{\text{number of green cubes}}{\text{total number of cubes}} = \frac{2}{20} = \frac{1}{10} \][/tex]

Since each pull is independent and the cubes are replaced after each pull, the probability of drawing a green cube remains the same for each pull.

Therefore, the expected number of times a green cube is drawn in 100 pulls is:

[tex]\[ \text{Expected number of green draws} = P(\text{green}) \times \text{Total number of pulls} = \frac{1}{10} \times 100 = 10 \][/tex]

So, you would expect them to draw a green cube about 10 times in 100 pulls.

Answer:

[tex]z=\frac{0.503-0.48}{\sqrt{\frac{0.48(1-0.48)}{700}}}=1.218[/tex]  

Now we can calculate the p value given by:

[tex]p_v =P(z>1.218)=0.1116[/tex]  

Step-by-step explanation:

Information provided

n=700 represent the random sample selected

[tex]\hat p=0.503[/tex] estimated proportion of college enrollment

[tex]p_o=0.48[/tex] is the value that we want to test

z would represent the statistic

[tex]p_v[/tex] represent the p value (variable of interest)  

System of hypothesis

we want to check if the true proportion for the college enrollment is higher thna 0.48, the system of hypothesis are:

Null hypothesis:[tex]p\leq 0.48[/tex]  

Alternative hypothesis:[tex]p > 0.48[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we have:

[tex]z=\frac{0.503-0.48}{\sqrt{\frac{0.48(1-0.48)}{700}}}=1.218[/tex]  

Now we can calculate the p value given by:

[tex]p_v =P(z>1.218)=0.1116[/tex]  

Answer:

20 seconds

Step-by-step explanation:

The least common multiple of 4 and 5 is 20.  So the two lights will blink at the same time every 20 seconds.

Based on the number of seconds it takes for each light to blink, they will both blink at 20 seconds.

The green light blinks every 4 seconds and the yellow, every 5 seconds.

The time that they will blink together depends on the lowest common multiple of both numbers.

Multiples of 4 = 4, 8, 12, 16, 20

Multiples of 5 = 5, 10, 15, 20

The lowest common multiple is 20 which means they will blink together after 20 seconds.

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Answer:

square root of 96 or 9.79

Step-by-step explanation:

a2+b2=c2

2square+b2=10square

4+b2=100

(4-4)+b2=(100-4)

b2=square root96 or 9.79