The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of µ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 656 exams in his state. The sample mean for the test is 480.

Find the 95% confidence interval to estimate the mean SAT math score in this state for this year.

(Note: The critical
z
-value to use,
z
c
, is: 1.960.)

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Answer6x3-33x2+45x-6

Step-by-step explanation:

The product of polynomials is 6x³-33x²+45x-6. Therefore, option C is the correct answer.

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

Given that, (3x-6)(2x²-7x+1).

By using distributive property, we get

3x(2x²-7x+1)-6(2x²-7x+1)

= 6x³-21x²+3x-12x²+42x-6

= 6x³-21x²-12x²+3x+42x-6

= 6x³-33x²+45x-6

Therefore, option C is the correct answer.

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Answer:

I guess it's 63degrees

I hope it will help

Answer:

Step-by-step explanation:

8 and 6

20:8 and x:6

ask urself: what is the scale factor?

[tex]20:8 = \frac{20}{8} = 2.5\\so, multiply 6 by 2.5, which is 15\\therefore, x = 15[/tex]

Answer:

Same Side Interior Angles

Step-by-step explanation:

Angle 7 and angle 14 are both inside of the two transversal lines E and M, and are on the same side of the line Q, making them both same side interior angles

-Chetan K

Answer:3102+5780=8882

Step-by-step explanation:

105 people

I hope this helps I would appreciate brainliest if possible :)

Answer:

okay so 105 x 37 = 3885 + 80 + 3965 Which is the max within there budget

Step-by-step explanation:

so your answer is 105

Answer:

thanks thanks thanks thanks thanks thanks for your points

[tex] \sqrt{3} x + 4 - 2 = 3 \\ = > \sqrt{3} x = 3 - 4 + 2 \\ = > \sqrt{3} x = 1 \\ = > x = \frac{1}{ \sqrt{3} } \\rationalising \: \: \: the \: \: \: denominator \\ = > x = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = > x = \frac{ \sqrt{3} }{3} \\ [/tex]

[tex] \frac{ \sqrt{3} }{3} [/tex]

Answer: x = 7

Step-by-step explanation:

[tex]\sqrt{3x+4}=3+2[/tex]

[tex]\sqrt{3x+4}=5[/tex]

[tex]3x+4 =25[/tex]

[tex]3x = 21[/tex]

[tex]x=7[/tex]

Please give me a brainliest answer

Answer:

Step-by-step explanation:

Angle ECB or angle BCE should do it

Answer:

its equals 30 cubic units

Happy To Help :)  Pls mark brainliest

Step-by-step explanation:

Answer:

Four possible numbers

-4

-32

-2

-10

Four numbers that are not possible

100

120

20

10

Step-by-step explanation:

I choose the 4 possible numbers because if you add a negative to a negative, the answer will always be a negative. However if you added a positive like 100 to -3, the answer wouldn't be negative so that's why I chose those numbers.

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

Where are the questions?

Step-by-step explanation:

Answer:

The answer is -2

Step-by-step explanation:

First you do +10 on both sides leaving you with x = -2

And that is your final answer (x=-2)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

[tex]\boxed {\sf x=-2}[/tex]

Step-by-step explanation:

[tex]\sf x - 10 = -12[/tex]

[tex]\boxed{\mathrm{Add\:}10\mathrm{\:to\:both\:sides}}[/tex]

[tex]\sf x-10+10=-12+10[/tex]

[tex]\sf x=-2[/tex]

__________________

A complementary angle is 90 degrees. The ratio is 2:3 so the equation would be:

2x+3x=90

5x=90

x=18

One of the angles would be 2(18) or 36 degrees and the other angle would be 3(18) or 54 degrees.

36+54 is equal to 90 degrees so it checks out.

Answer:

WALA PO AKONG ALAM SA MATH EHH HEHEH

Answer:

Step-by-step explanation:

69.15 rounded off to the nearest hundredth is 69.15...

Answer:

No solutions

Step-by-step explanation:

I hope my answer help you.

Answer: I dont see anything....

Step-by-step explanation:

Answer:

Step-by-step explanation:To see that

i

−

18

=

−

1

note that

i

1

=

√

−

1

i

0

=

1

i

−

1

=

1

√

−

1

i

−

2

=

1

−

1

=

−

1

i

−

18

=

(

i

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9

=

(

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9

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1

The number 18 in the form of complex numbers will be written as 18 + 0i.

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfies the equation i² = 1.

The given number is 18. The number in the form of a complex number can be written as:-

Complex number =  a + bi

Complex number =  18 + 0i

Therefore, the number 18 in the form of complex numbers will be written as 18 + 0i.

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Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4

we need to subtract

[tex]\\ \sf\longmapsto 300251-21596[/tex]

[tex]\\ \sf\longmapsto 278655[/tex]

Now let's round up

[tex]\\ \sf\longmapsto 278700[/tex]

[tex]\\ \sf\longmapsto 279000[/tex]

[tex]\\ \sf\longmapsto 280000[/tex]

[tex]\\ \bf\longmapsto 300000[/tex]

Answer:

14muffins are left. please give brainliest

Step-by-step explanation:

so first we need to figure out how many there are in total so if 4 muffins is 2/9 so every 2 muffins is 1/9 so we need 9x2 wich is 18 so there are 18 muffins in total but the stray dog ate 4 of them so 18-4 is 14 so the answer is 14muffins are left.

Answer: 5/2

Step-by-step explanation: 49 - 42/ 21 - 18

Answer:

[tex](x+5)^{2} (x-2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^3} +8x^{2} +5x-50[/tex] using polynomial division.

[tex](x^{2} +10x+25)(x-2)[/tex]

2) Rewrite [tex]x^{2} +10x+25[/tex] in the form [tex]a^{2} +2ab+b^{2}[/tex], where a = x and b = 5.

[tex](x^{2} +2(x)(5)+5^{2} )(x-2)[/tex]

3) Use Square of Sum: [tex](a+b)^{2} =a^{2} +2ab+b^{2}[/tex].

[tex](x+5)^{2} (x-2)[/tex]

Answer:

2

Step-by-step explanation:

(4/3)^10 * (3/4)^6

Here lefts (4/3)^4

Answer:

B4= 4-6(4-1)

B4= 4-7(3)

B4= 4-18

B4= -14