Mean for population data

Answer:

The probability is 1/100

Step-by-step explanation:

This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.

The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535

We are given;

Sample size; n = 50

Standard deviation; σ = 0.5

Mean; μ = 2

The formula to find the z-score for each sample mean is;

z = (x' - μ)/(σ/√n)

Thus, for x' = 1.8, we have;

z = (1.8 - 2)/(0.5/√50)

z = -2.83

For x' = 2.2, we have;

z = (2.2 - 2)/(0.5/√50)

z  = 2.83

Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;

P(-2.83 < Z < 2.83) = 0.99535

Read more about Normal Distribution Probability at; https://brainly.com/question/4079902

#SPJ1

The question says to evaluate the cost of four dollars less than the cost of a sweater.

To do this, what we have to do is to create a mathematical equation of it.

Less than always insinuates that we are to subtract, and as such, we are going to subtract four dollars from the cost of the sweater to get our final answer.

Four dollars less than the cost of a sweater that costs $22 is

22 - 4 = $18

Learn more about evaluating cost here https://brainly.com/question/14315509

Answer:

0.68

Step-by-step explanation:

The slope is the number in front of the x. And the y-intercept is the number after the x.

A negative y-intercept would be subtracted from the equation.

Answer is B. Y = 7.5x - 2

Answer:

B

Step-by-step explanation:

y = 7.5x - 2

The slope is 7.5

y- intercept is -2

Answer:

22.53-9.99=12.54

12.54 divided by 6 = 2.09

Each pencil costs $2.09

Step-by-step explanation:

Answer:

[tex]a_{87}=1119[/tex]

Step-by-step explanation:

Arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference between terms and n is the index of any given term.

Find the difference between the terms in the given sequence here:

[tex]14-1=13\\27-14=13[/tex]

Each term has a common difference of 13. Using that, you can write the equation for this sequence:

[tex]a_n=1+(n-1)13[/tex]

Finally, you can use this equation to find the 87th term by plugging in 87 for n:

[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]

Answer:

The next two numbers following:

431

141311

1114111321

311431131211

are:

132114132113111221

AND

11131221141113122113312211

Step-by-step explanation:

I shall explain the pattern below:

431 (just the digits 4, 3, and 1)

141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)

1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)

311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)

NEXT TWO NUMBERS:

one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)

that makes: 132114132113111221

one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)

that makes: 11131221141113122113312211

The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.

Hey there!

3(4 - 5x) = 3(4x + 3)

3(4) + 3(-5x) = 3(4x) + 3(3)

12 - 15x = 12x + 9

-15x + 12 = 12x + 9

SUBTRACT 12x to BOTH SIDES

-15x + 12 - 12x = 12x + 9 - 12

SIMPLIFY IT!

-27x + 12 = 9

SUBTRACT 12 to BOTH SIDES

-27x + 12 - 12 = 9 - 12

CANCEL out: 12 - 12 because it gives you 0

KEEP: 9 - 12 because it helps solve for the x-value

NEW EQUATION: -27x = 9 - 12

SIMPLIFY IT!

-27x = -3

DIVIDE -27 to BOTH SIDES

-27x/-27 = -3/-27

CANCEL -27/-27 because that gives you 1

KEEP: -3/-27 because it helps solve for the x -value

NEW EQUATION: x = -3/-27

SIMPLIFY IT/REDUCE the FRACTION!

x = 1/9

Therefore, your answer is: x = 1/9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

32

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator

Thus, the answer to 12 divided by 3/8 in fraction form is:

96 /3

To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

96 / 3 = 32

The answer is rounded to the nearest two decimal points if necessary.

96/3 can be simplified to 32/1.

32/1 is an improper fraction and should be written as 32.

Hope this helps <3

Answer:32

Step-by-step explanation: 0.375 = 3/8

12/0.375=32

Answer:

I’d say yes.

If you stretched the second shape then I think both shapes would look similar.

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

10. False

Answer:

30 are present 10 are absent

Step-by-step explanation:

75%=3/4

so 3/4 of them are absent

3/4(40)=30

and 40-30=10 are absent

Step-by-step explanation:

1550 - 395 = 1155

1155 / 82.5 = 14

Answer should therefore be 14 weeks.

Not my usual way of doing this sort of question but I'm interested to see if it's right. Alternatively you can subtract $82.50 from $1550 until/before you reach $395. Do not go below $395 though.

Answer:

K12 Answer

Step-by-step explanation:

ithink this is the literal answer

Answer:

(x+1)(x-9)

Step-by-step explanation:

Break the equation: x²- 8x-9=0 into groups:

([tex]x^{2}[/tex]+x)+(-9x-9)

Factor X out of [tex]x^{2}[/tex]+x:    x(x+1)

Then Facor -9 out of (-9x-9):  -9(x-1)

This means that you can simplify these 2 equations: (x-9) & (x+1)

So your answer is: (x+1)(x-9)

Answer:

6x+3

Step-by-step explanation:

I hope this is what you where looking for

Answer:

m∠KML = 35°

Step-by-step explanation:

This is an isosceles triangle because 2 of the sides are equal so we know the 2 unknown angles are equal. The 3 angles of any triangle always add up to 180° so since we know 1 angle is 110° then the 2 unknown angles must add up to 70° (because 180° minus the known 110° leaves us with 70°). Since we know the 2 unknown sides are equal 70° ÷ 2 = 35°. So, m∠KML = 35°

Hey there! :-)

First, let's find the slope of the line.

We can do that by using this formula:

Slope=Rise/Run

Where

Rise=how many units we move up

Run=how many units we move left or right.

We move 5 units up and 8 units to the right.

Therefore, the slope is 5/8.

The y-intercept (where the line touches the graph) is -9/8.=

Therefore, the equation of the line is y=5/8x-9/8.

Hope this helps you daughter. Use the comment section to clarify any doubts.

Answered by

~A felicitous teen who helps others with a smile on her face

Good luck.

Answer:

a - y=5/8x - 9/8

Step-by-step explanation:

firstly, work out the gradient between those two coordinates

[tex]gradient = \frac{change \: in \: y}{change \: in \: x} [/tex]

[tex]gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]

now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept

use any of the two coordinates in the graph. I'll use (5,2)

[tex]y = mx + c[/tex]

[tex]2 = \frac{5}{8} (5) + c[/tex]

[tex]2 = \frac{25}{8} + c[/tex]

[tex]therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8} [/tex]

now we have the gradient and y intercept

so the equation is

[tex]y = \frac{5}{8} x - \frac{9}{8} [/tex]

Answer:

cost of 5 story book=800

cost of 1 story book=800/5

=160

how many. book can be bought on rs.1400

=1400/160

=8.75

Step-by-step explanation:

=

Answer:

36

Step-by-step explanation:

Any triangle have 180 degrees in total.

So 60 + 84 + angle M = 180

144 + angle M = 180

180 - 144 = angle M

angle = 36

Answer:

6

Step-by-step explanation:

If p = 14

rewrite the equation

so replace the variable with 14.

now do basic subtraction.

14 - 8

= 6

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]9 \: + \: 7 \: = \boxed{16}[/tex]

USE CALCULATOR...

[tex]#CARRYONLEARNING[/tex]

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Answer:

the answer should be 95

Step-by-step explanation:

hope this helps!❆

Answer:

value is 95

Step-by-step explanation:

if x = 6

------------

value of 3x2 - 13 is 95

Answer:

f(g(2)) = 29

Step-by-step explanation:

First of all we write the new function defined as the composite function of f and g: f(g(x)) = 3(5x+1) - 2 = 15x + 3 - 2 = 15x -1

Now we can simply "plug in" 2 instead of the x in the function we just obtained: f(g(2)) = 15*2 - 1 = 29

Answer:

D!!!

Step-by-step explanation:

you have to make a table to see that randy has run 3 miles.!!!

Answer: D is the correct answer!

Step-by-step explanation: Like the one above me!

Answer:

17 years old

I hope this helps

I think it might be right

sorry if it is wrong

Answer:

$30.46

Step-by-step explanation:

Total payment = down payment + interest fee + 24 equal payments

980 = 200 + 49 + 24 equal payments

24 equal payments = 24 * p, as we add p 24 times

980 = 249 + 24p

subtract 249 from both sides to isolate p and its coefficient

731 = 24p

divide both sides by 24 to isolate p

p = 30.46