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3 years ago

If 3s = t + 5 and se = 4, then t =

Mathematics

1 answer:

grigory [225]3 years ago

5 0

Answer:

t must be 7

Step-by-step explanation:

Replace s with 4 and solve for t in the original equation:

3 s = t + 5

3 (4) = t + 5

12 = t + 5

12 - 5 = t

7 = t

So t must be 7

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Your restaurant bill comes to $46.27. Estimate a 10% tip.

koban [17]

Answer:

The tip would be $4.63 unless you round it to $5

Step-by-step explanation:

4 0

3 years ago

Ashton bought 5 cans of olive oil. Each can had a radius of 3.2 inches and was 15 inches tall. Find the total cubic inches of ol

amid [387]

Step-by-step explanation:

A can is a cylinder.

Volume of a can = Volume of Cylinder

$= \pi {r}^{2} h$

Given Radius = 3.2 inches and height = 15 inches,

Volume of one olive oil can =

$\pi( {3.2}^{2} )(15) \\ = 153.6\pi {in}^{3}$

Volume of 5 olive oil cans = 5 x volume of one olive can

$= 5 \times 153.6\pi \\ = 768\pi {in}^{3}$

I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.

5 0

3 years ago

I have like 20 minutes please help<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D-7x%2B10%3D0" id="TexFormula1" title="x^{2}-7x+10

Mandarinka [93]

Answer: Hmm Ok i do this-

Step-by-step explanation:

Wait are we trying to find x?

Ok so for the first one x = 5 and for the second one x = 2

3 0

3 years ago

5.6 x N= 2.24 N=? Please help

dlinn [17]

Answer:

N = -3.36

Step-by-step explanation:

5.6 x N= 2.24

-5.6 -5.6

N= -3.36

3 0

3 years ago

Read 2 more answers

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

3 years ago