Prism A is similar to prism B. Find the volume of prism B if the volume of prism A is 4320 cm3

Answers

Answer 1

Answer: $k=(a_A)/(a_B)\nk=(12)/(6)\nk=2\nk^3=(V_A)/(V_B)\nV_B=(V_A)/(k^3)\nV_B=(4320)/(2^3)\nV_B=(4320)/(8)\nV_B=540 \text{ cm}^3$

Answer 2

Answer:

Answer:

540

Step-by-step explanation:

I am confirming that the answer is 540. :)

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What would (2a²b)² be? Stuck on this Algebra.

Answers

${ \left( 2{ a }^( 2 )b \right) }^( 2 )\n \n =\left( 2{ a }^( 2 )b \right) \left( 2{ a }^( 2 )b \right) \n \n =2\cdot 2\cdot { a }^( 2 )\cdot { a }^( 2 )\cdot b\cdot b\n \n =4{ a }^( 4 ){ b }^( 2 )$

$(2a^2b)^2=2^2(a^2)^2b^2=4a^(2\cdot2)b^2=4a^4b^2\n\nUsed:(x\cdot y)^n=x^n\cdot y^n\ and\ (x^n)^m=x^(n\cdot m)$

Given a test statistic of t=2.315 of a left tailed test with n=8

Answers

Answer:

Null hypothesis: $\mu =110$

Alternative hypothesis: $\mu \neq 110$

The sample size on this case is n=8, then the degrees of freedom are given by:

$df = n-1= 8-1=7$

The statistic is given by:

$t= (\bar X -\mu)/((s)/(√(n)))$

For this case the value of the statistic is given $t = 2.315$

Since we are using a bilateral test the p value would be given by:

$p_v = 2*P(t_(7)>2.315) =0.054$

And we can use the following excel code to find it:

"=2*(1-T.DIST(2.315;7;TRUE))"

Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:

0.05<P-value <0.10, fail to reject the null hypothesis

Step-by-step explanation:

Assuming this complete question :"Given a test statistic of t=2.315 of a left-tailed test with n=8, use a 0.05 significance level to test a claim that the mean of a given population is equal to 110.

Find the range of values for the P-value and state the initial conclusion 1 point) 0.05<P-value <0.10; reject the null hypothesis

0.05<P-value <0.10, fail to reject the null hypothesis

0.025 < P-value <0.05; reject the null hypothesis

0.025< P-value<0.05; fail to reject the null hypothesis"

For this case they want to test if the population mean is 110 or no, the systemof hypothesis are:

Null hypothesis: $\mu =110$

Alternative hypothesis: $\mu \neq 110$

The sample size on this case is n=8, then the degrees of freedom are given by:

$df = n-1= 8-1=7$

The statistic is given by:

$t= (\bar X -\mu)/((s)/(√(n)))$

For this case the value of the statistic is given $t = 2.315$

Since we are using a bilateral test the p value would be given by:

$p_v = 2*P(t_(7)>2.315) =0.054$

And we can use the following excel code to find it:

"=2*(1-T.DIST(2.315;7;TRUE))"

Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:

0.05<P-value <0.10, fail to reject the null hypothesis

A 16- ounce bottle of fresh water is $1.76. A 20-ounce bottle of spring water is $2.40. Which statement about the unit price is true? A. Spring water has a lower unit price of $0.12/ounce
B. Fresh water has a lower unit price of $0.11/ounce
C. Fresh water has a lower unit price of $0.12/ounce
D. Spring water has a lower unit price of $0.11/ounce

Answers

To find the unit price of each item you want to divide:

Fresh water:

$1.76 / 16 = $0.11

Spring water:

$2.40 / 20 = $0.12

So the statement that is true is B) Fresh water has a lower unit price of $0.11/ounce.

Hope this Helps!!

A line has slope –5(over)3 . Through which two points could this line pass? (1 point)(12, 13), (17, 10)
(16, 15), (13, 10)
(0, 7), (3, 10)
(11, 13), (8, 18)

Answers

The points of the line that has a slope of -5 over 3 is (11,13) (8, 18). This can be computed using the formula of finding the slope of a line which m = y2-y2 over x2-x1. This is computed as follows:

m = 18-13 over 8 - 11
m= 5 over -3 or simplified to m= -5 over 3

Answer: Rate of Change and Slope Quick Check

C. -1/3

D. (11,13) (8,18)

B. -2

D. Undefined

D. 55/1

Step-by-step explanation:

there are 2 small sweaters, 2 medium sweaters, and 1 large sweater in a bag. what is the probability that Lydia randomly pulls a medium sweater out of the bag? write the probability as a percent. please

Answers

This is the beginning of all probability problems.
Memorize it:

Probability =
(number of ways to be successful)
divided by
(total number of possibilities) .

What's the total number of possible ways to pull out one sweater ?
. . . . . There are 5 sweaters in the bag, so 5 total possibilities.

How many ways are there to pull out a medium sweater ?
. . . . . There are 2 medium sweaters in the bag.
. . . . . Lydia might pull out this one, or she might pull out that one.
. . . . . There are 2 ways to pull out a medium sweater.

Probability = 2 / 5 = 40% .

Now you've posted enough of these, and gotten answers with
explanations, so you should be able to do them on your own now.

the percent of getting a medium sweater is 0.2%

Identify if there is a function in each given relation. 1. {(cat, 1), (dog, 5), (cat, 6), (chicken, 9)) 2. ((a,10), (b, 11), (-a, 12), (c,13)},

Answers

The relation {(cat, 1), (dog, 5), (cat, 6), (chicken, 9)} is not a function, because there are two ordered pairs with the same first element, "cat" - (cat, 1) and (cat, 6). In a function, each input (first element) must correspond to only one output (second element).

The relation { (a,10), (b, 11), (-a, 12), (c,13)} is also not a function, because the input "-a" and "a" have different outputs (12 and 10, respectively). In a function, each input must correspond to only one output.

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is associated with exactly one output. In other words, for each input, there is only one output.

The concept of functions is important in many areas of mathematics and its applications, such as physics, engineering, and computer science. Functions can be represented using various mathematical notations, such as tables, graphs, or algebraic formulas.

Learn more about relation here:

brainly.com/question/31111483

#SPJ11

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