Which kind of line ( solid or dashed) is used for < or > ?

I think it has to do with inequalities but not sure

QUESTION #2 unless you know how to a different one

Answer:

The probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174

Step-by-step explanation:

[tex]Mean = \mu = 145 mm[/tex]

Standard deviation =[tex]\sigma = 7[/tex]

We are supposed to find the probability that the sample mean would differ from the population mean by greater than 3 millimeters

[tex]P(|x-\mu|>33)=1-P(|x-\mu|<3)\\P(|x-\mu|>33)=1-P(-3<|x-\mu|<3)\\P(|x-\mu|>33)=1-P(\frac{-3}{\frac{\sigma}{\sqrt{n}}}<\frac{|x-\mu|}{\frac{\sigma}{\sqrt{n}}}<\frac{-3}{\frac{\sigma}{\sqrt{n}}})\\P(|x-\mu|>33)=1-P(\frac{-3}{\frac{7}{\sqrt{31}}}<\frac{|x-\mu|}{\frac{\sigma}{\sqrt{n}}}<\frac{-3}{\frac{7}{\sqrt{31}}})\\P(|x-\mu|>33) =1-P(-2.38<z<2.38)\\P(|x-\mu|>33) =1-(P(z<2.38)-P(z<-2.38))\\[/tex]

Using Z table

                   = 1-(0.9913-0.0087)

                  =0.0174

Hence  the probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174

Answer:

Step-by-step explanation:

k=2

t=5

2+6=4   6=2  1=3

2=6

5=15

Now their ages are 6:15

Answer:

A. There are two complex roots

Step-by-step explanation:

Just took the test

If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

The discriminant of a quadratic equation is given as;

[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]

A discriminant of negative 8 falls with last category in the solution above.

[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]

[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]

Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

Learn more about discriminant of quadratic equation here: https://brainly.com/question/4318614

By the remainder theorem, the remainder upon dividing p(x) = 2x³ - 7x² + 5x - 1 by x - 3 is p(3),

p(3) = 2(3)³ - 7(3)² + 5(3) - 1 = 5

Answer:

268

Step-by-step explanation:

hope this helps if not im sorry

Answer:

The answer would be 1.

Answer:

They behave similarly in chemical reactions

Step-by-step explanation:

Because their atomic numbers are different, the elements each have a different number of protons and electrons. They belong to the same group, not the same period.

Answer:

I think its 4 but not 100% sure.

264-10=16+52

Add 10 to both sides

264=16+62

subtract 16 from both sides

248=62

Divide and i got 4.

Answer: Yes wheels affect the force, with wheels it moves longer and faster without wheels it doesn't move as much and doesn't go fast.

So they should; Share their conclusion

Step-by-step explanation: This really ez

i think 1st one is the answer

Answer:

[tex]-10x^3y^2+5x^2y^3-2x^3+7y^2[/tex]

Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2

Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!

Answer:

Exact Form:

x =1016 /3

Decimal Form:

x = 338. ¯ 6

Mixed Number Form:

x = 338  2/3

Step-by-step explanation:

Answer:

5  

+   0.6

+   0.02

+   0.009

Step-by-step explanation:

5 × 1  

+ 6 ×   0.1

+ 2 ×   0.01

+ 9 ×   0.001

5 × 100

+ 6 × 10-1

+ 2 × 10-2

+ 9 × 10-3

all of them are correct

Answer:

Its AGI

Step-by-step explanation:

Source(s): dude, trust me

Answer:

15.6

Step-by-step explanation:

I hope this helps!

Answer:

15 3/5

Step-by-step explanation:

9 3/4 ÷ 5/8

39/4 ÷ 5/8

39/4 x 8/5

39 x 8 / 4 x 5

312 / 20

312 ÷ 4 / 20 ÷ 4

78/5, or 15 3/5

Answer:

arithmetic

Step-by-step explanation: Hope this helps :)

Answer:

DCE is 54°

Step-by-step explanation:

To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:

for angle EDC: 180 - (9x - 31)

for angle CED: 180 - (4x + 33)

for angle DCE: 180 - (7x - 2)

we know that all angles in a triangle add up to 180°. So, our equation is:

180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.

simplify:

180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180

540 - 20x = 180

540 - 180 = 20x

360=20x

x= 18

for angle EDC: 180 - (9•18 - 31)=49°

for angle CED: 180 - (4•18 + 33)=75°

for angle DCE: 180 - (7•18 - 2)=54°

Answer:

c. Both Tami and Vu performed equally well.

Step-by-step explanation:

To solve this question, we use z score

The formula for calculating a z-score is is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation.

a) For Tami , who took MCAT

We are told:

Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.

x = 524.2 points

μ = 505.6 points

σ = 9.3 points

z = 524.2 - 505.6/9.3

= 2

The z score for Tami is 2

For Vu, who took LSAT

We were told:

Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.

x = 171.1 points

μ = 150.7 points

σ = 10.2 points

z = 171.1 - 150.7/10.2

z = 2

The z score for Vu is also equal to 2

Therefore, we can say the bout Tami and Vu performed equally well.

Option c is the correct answer.

Answer:

ZYW = 17.

Step-by-step explanation:

ZYW = XYW = 180 - 133 + 30(sum of angles in a triangle) = 17.

The measure of angle ZYW is 17.

Given that,

Based on the above information, the calculation is as follows:

= 180 - 133 - 30

= 17

Also ZYW = XYW

Therefore we can conclude that the measure of angle ZYW is 17.

Learn more: brainly.com/question/17581080

Answer:

47.008

Step-by-step explanation:

Answer:

positive 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation: The opposite of -3 is positive 3

Answer:

11 1/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

75 children.

Step-by-step explanation:

If the amount of children is 5 times as many adults, you just need to multiply 15x5.

15x5=75  The number of children invited to the party is 75.

If you wanted this in an algebraic equation, it would look similar to this...

15(5)=x To solve for x, multiply 15 by 5.

75=x

Hope this helps! Have a great day ^^

Answer:

0.018=9/500 as a fraction

Step-by-step explanation:

Answer:

you need to provide more information lol

Step-by-step explanation:

e

Answer:

3:5

Step-by-step explanation:

There were 100 milk cartons there and someone took 100-x=40.  Add 100 on both sides 40-100=-60 so 60 milk cartons were taken.  So the ratio would be 60:100, which can be simplified further 30:50 15:25 3:5.

Answer:

3 new tires for $210; 4 new tires for $250

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(2)= 5-9(2)

= -13

f(g(2))= 5+3(-13)

= -34

Answer:

g(2) = -13

f(g(2)) = -34

Explanation:

For g(2), just substitute 2 in for the x, multiply, and simplify.

g(x) = 5-9(x)

g(2) = 5-9(2) = 5-18 = -13

For f(g(2)), substitute this output in for x, multiply, and simplify.

f(x) = 5 + 3(x)

f(g(2)) = 5 + 3(g(2)) = 5 + 3(-13) = 5-39 = -34