For which of the figures can we apply Cavalieri's principle to show they have the same volume?

Which are possible lengths of the sides for a triangle?

icang [17]

Answer:

D

Step-by-step explanation:

im not sure if they can be the same length, but heres the explanation: so a+b is higher than c, (9=a, 7=b, 11=c) but c is the bigger number by itself. so since a+b is higher added together, it makes it a triangle. sorry if this is wrong but i think its right.

4 0

3 years ago

Which equation is equivalent to the first equation of the

Greeley [361]

The number of solutions of the system of equations is 904 086

5 0

3 years ago

I forgot how to do this, can sm1 solve it?

STatiana [176]

Answer:

See below.

Step-by-step explanation:

Polly has the least. Let's work this from least to greatest.

They have £270. They share it together. Polly has £30. Andy has £60, and Phoebe has £180.

180 + 60 = 240.

240 + 30 = 270.

Pho: £180

Andy: £60

Polly: £30.

hope this helps.

3 0

2 years ago

Read 2 more answers

How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 u

nasty-shy [4]

Answer:

It is shifted left 5 units and up 2 units from the parent function.

Step-by-step explanation:

Given

$y = \frac{1}{x}$

$y' = \frac{1}{x+5} + 2$

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

$(x,y) \to (x + 5,y)$

So, we have:

$y = \frac{1}{x}$

$y_1 = \frac{1}{x + 5}$

Next, translate y1, 2 units up.

The rule is:

$(x,y) \to (x,y+2)$

So, we have:

$y' = y_1 + 2$

$y' = \frac{1}{x + 5} + 2$

Hence, the transformation is:

5 units left and 2 units up

7 0

3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0

3 years ago