On a standardized science test, the seniors at Fillmore High School have a mean score of 430 with a standard deviation of 90.For random samples of 100 seniors, what interval centered on the mean of the sampling distribution captures 68% of the mean scores? If necessary, round to the nearest tenth. Enter the interval from least to greatest.

For random samples of 100 seniors, 68% of the sample means fall between ____ and ___

Answers

Answer 1
Answer:

Answer:

For random samples of 100 seniors, 68% of the sample means fall between 340 and 520

Step-by-step explanation:

As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).

Hope this helps!

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Which transformations will produce similar, but not congruent, figures?Choose all answers that are correct.


A.


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C.


Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.


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Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.

Answers

Which transformations will produce similar, but not congruent, figures?
Square ABCD is rotated 270° clockwise and then dilated by a scale factor of 1/3 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
The answers are letters A, C and D

How do I solve x/3 - x/2 =12 they are fractions I dont know ro write on on a laptop

Answers

Multiply by 6 on both sides

6(x/3 - x/2) = 12(6)
2x - 3x = 72
-x = 72
x = -72

Hope that helped :)

A camp ground consists of 12 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the water at the end of the beach is 5 yards. The area of the campground, including the beach, is 1,248 square yards. What is the width of one campsite/

Answers

x=side length of a campsite
12x(5+x)=1248  because each campsite has a length of x and there are 12                           and from the top of the camp to the water is the 5 yds + a                             side length and LW=1248
60x+12x^2=1248
12x^2+60x-1248=0
x^2+5-14=0
(x+7)(x-2)=0
x+7=0 or x-2=0
x=-7 or x=2
x=2 because width can't be negative
the width of one campsite is 2 yds

What is the square root of ab^2

Answers

Answer:

b\sqrt a

Step-by-step explanation:

We have to simplify the expression √(ab^2)

We can use the rules:

√(xy)=\sqrt x\cdot\sqrt y...(i)\n\n√(x^2)=x...(ii)

Using the rule (i), we can rewrite the expression as

√(ab^2)\n\n=\sqrt a\cdot√(b^2)

Now, using the rule (ii), we have

\sqrt a\cdot√(b^2)\n\n=\sqrt a\cdot b\n\nb\sqrt a

The simplified form is b\sqrt a

√(ab^2) = b√(a)

A salesperson is paid a base salary of $300 a week plus a 5% commission on the sales he generates. Which inequality best represents s, the amount of sales in dollars he must generate to earn at least $500 for the week?

Answers

The expression can be written as the inequality:

300+0.05s≥500

300$ is made per week, so we start off with

300

He also makes 5% or 0.05 from his sales, so we add in the expression 0.05x (where s is equal to his sales volume for the week)

300+0.05s

If he wants to make at least 500$ weekly, then the total of the base salary plus the commission has to be 'greater than or equal to 500.

300+0.05s≥500

Lets solve for s now...

300+0.05s≥500
subtract 300 from both sides
0.05s≥200
Divide both sides by 0.05
s≥4000

Answer:

Answer is C

Step-by-step explanation:

Your welcome

Which fraction is equivalent to 68%

Answers

68/100 but if you want it simplified it would be 17/25
68 over 100 
or 0.68 
but it depends on what yu talking about