All categories

3 years ago

8 = y + 3 solve for the variable

Mathematics

2 answers:

Dominik [7]3 years ago

6 0

$8 = y + 3 \\ - 3 - 3 \\ 5 \\ y = 5$

jenyasd209 [6]3 years ago

4 0

Answer:

Step-by-step explanation:

8 = y + 3

8 - 3 = y + 3 - 3

5 = y

You might be interested in

What is the ratio of 270 miles in 6 hours

bulgar [2K]

I depends if it is asking for miles to hours or hours to miles but, doing i would do hours to miles so it would be 270:6 which simplifies to 45:1

6 0

3 years ago

Find the volume of the composite solid.

OLEGan [10]

Here's the solution,

the volume of the given figure is :

=》

$volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)$

volume of pyramid :

=》

$\dfrac{l \times b \times h}{3}$

=》

$\dfrac{4 \times 5 \times 6}{3}$

=》

$\dfrac{120}{3}$

=》

$40$

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

$l \times b \times h$

=》

$4 \times 5 \times 2$

=》

$40$

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

4 0

3 years ago

A magazine conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale,

Lyrx [107]

Answer:

a) The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =85.82-81.90=3.92$

b) $SE=\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=0.975$

And the Margin of error is given by:

$Me= z_{\alpha/2} * SE=1.96*0.975=1.910$

c) The 95% confidence interval would be given by $2.009 \leq \mu_1 -\mu_2 \leq 5.83$ .

Step-by-step explanation:

Notation and previous concepts

$n_1 =35$ represent the sample of ships that carry fewer than 500 passengers

$n_2 =44$ represent the sample of ships that carry 500 or more passengers

$\bar x_1 =85.82$ represent the mean sample of of ships that carry fewer than 500 passengers

$\bar x_2 =81.90$ represent the mean sample of of ships that carry 500 or more passengers

$\sigma_1 =4.55$ represent the population deviation of ships that carry fewer than 500 passengers

$\sigma_2 =3.97$ represent the sample deviation of ships that carry 500 or more passengers

$\alpha=0.05$ represent the significance level

Confidence =95% or 0.95

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{(\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2})}$ (1)

Part a

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =85.82-81.90=3.92$

Part b: At 95% confidence, what is the margin of error?

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

The standard error is given by the following formula:

$SE=\sqrt{(\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2})}$

And replacing we have:

$SE=\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=0.975$

And the Margin of error is given by:

$Me= z_{\alpha/2} * SE=1.96*0.975=1.910$

Part c: What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships?

Confidence interval

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

$3.92-1.96\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=2.009$

$3.92+1.96\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=5.830$

So on this case the 95% confidence interval would be given by $2.009 \leq \mu_1 -\mu_2 \leq 5.83$ .

7 0

3 years ago

PLZ HELP!!!!!!

liq [111]

The answer is A ..................

8 0

3 years ago

Read 2 more answers

The number z and −1.9 are additive inverses.

tia_tia [17]

Additive inverses are numbers that add up to zero, such as 1 and -1. Z is the additive inverse of -1/9, so z is 1.9.

1.9 + -1.9 =0.

Drag the -1.9 icon to just one mark to the right of -2 on the number line, since each dash equals 0.1. Drag z to just one mark to the left of 2 on the number line.The sum will be zero, so drag the sum icon to 0 on the number line.

3 0

3 years ago

Read 2 more answers