Please help ASAP........

For which pair of triangles would you use SSS to prove the congruence of the 2 triangles?

Nadusha1986 [10]

D) because it's the only one that contains given equal sides in both triangles

7 0

3 years ago

In a study to compare two different corrosion inhibitors, specimens of stainless steel were immersed for four hours in a solutio

liraira [26]

Answer:

$(242-220) -1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}} = 10.862$

$(242-220) +1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}} = 33.138$

And the confidence interval for the difference of means is given by:

$10.862 \leq \mu_A -\mu_B \leq 33.138$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data given and notation

$\bar X_{A}=242$ represent the mean for the sample A

$\bar X_{B}=220$ represent the mean for the sample B

$s_{A}=20$ represent the sample standard deviation for the sample A

$s_{B}=31$ represent the sample standard deviation for the sample B

$n_{A}=47$ sample size selected A

$n_{B}=42$ sample size selected B

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

Solution to the problem

For this case the confidence interval for the difference of means $\mu_A -\mu_B$ is given by:

$(\bar X_A -\bar X_B) \pm t_{\alpha/2} \sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}$

The degrees of freedom are given by:

$df = n_A +n_B -2= 47+42-2=87$

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: "=-T.INV(0.025,87)".And we see that $t_{\alpha/2}=1.988$

And the confidence interval would be given by

$(242-220) -1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}} = 10.862$

$(242-220) +1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}} = 33.138$

And the confidence interval for the difference of means is given by:

$10.862 \leq \mu_A -\mu_B \leq 33.138$

5 0

3 years ago

I need help on this and can you tell me how to solve it

Snezhnost [94]

I think the easiest way is to get a common denominator. So I will show you that way. (another way is to change it from fractions to decimals).
So at first we have:
2/5 5/8 57/100
(57/100 comes from 0.57, since it is in the hundredths place you put it over 100)
The Least Common Multiple between 5, 8, and 100 is 200
2/5 = 2x40 and 5x40 = 80/200
5/8 = 5x25 and 8x25 = 125/200
57/100 = 57x2 and 100x2 = 114/200

So the answer would be: Sunday, Wednesday, Monday

8 0

4 years ago

I need help<br> Please answer y

storchak [24]

Answer:

○ 1. B

○ 2. 146.25

Add the numbers

○3. (-6w) - 8 + 1 (-7w)

(-6w) -7 + (-7w)

Rearrange

(-6w) + -7 + (-7w)

(-6w) + (-7w) - 7

Solution

(-6w) + (-7w) - 7

○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

8 0

3 years ago

Read 2 more answers

I need help with the numbers 9 and 10 please help

Katen [24]

9] Rocky Falls would be 13.4°F at sunrise.

Use the equation 23.1 + (-9.7) = x, where x is the temperature at sunrise (13.4)
23.1 + (-9.7) = 23.1 - 9.7
Solve so that x = 13.4

10] Jamie originally had $263.25 in her account.

Just add how much she spent (135.75 + 32) to how much she ended up with (95.5)

135.75 + 95.5 + 32 = 263.25

If you are asking how much she has if she started out with $95.50 before going to the Mets game,

95.5 - (135.75 + 32) = -$72.25
Or 95.5 - 135.75 - 32, same result of -72.25

3 0

4 years ago