Please answer please please

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.1813 = 18.13% probability that a person selected at random will score between 240 and 270 on the test.

b) 0.4501 = 45.01% probability that the mean score for the sample will be between 240 and 270.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The probability is the p-value of Z when X = 270 subtracted by the p-value of Z when X = 240, hence:

X = 270:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{270 - 250}{65}[/tex]

[tex]Z = 0.31[/tex]

[tex]Z = 0.31[/tex] has a p-value of 0.6217.

X = 240:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{240 - 250}{65}[/tex]

[tex]Z = -0.15[/tex]

[tex]Z = -0.15[/tex] has a p-value of 0.4404.

0.6217 - 0.4404 = 0.1813.

0.1813 = 18.13% probability that a person selected at random will score between 240 and 270 on the test.

Item b:

We have a sample of 7, hence:

[tex]n = 7, s = \frac{65}{\sqrt{7}} = 24.57[/tex]

X = 270:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{270 - 250}{24.57}[/tex]

[tex]Z = 0.81[/tex]

[tex]Z = 0.81[/tex] has a p-value of 0.7910.

X = 240:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{240 - 250}{24.57}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a p-value of 0.3409.

0.7910 - 0.3409 = 0.4501.

0.4501 = 45.01% probability that the mean score for the sample will be between 240 and 270.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer: I would say 2/3

Step-by-step explanation:

U can see that 2/3 is almost a whole (3/3) while 2/4 is just halfway there

Or

you can turn 2/4 and 2/3 to a decimal

2/4 = 0.5

2/3 = 0.666

0.5 < 0.666

2/4 < 2/3

hope this helps

Answer:

2/3

Step-by-step explanation:

2/3 is greater because 2/4 = 1/2 and 2/3 is a bit greater than 1/2.

Answer:

4

Step-by-step explanation:

(9 x 2/3) x 2/3

9x 2 = 18

18/3 = 6

6 x 2 = 12

12/3 = 4

(9 x 2/3) x 2/3 = 4

Answer:

4

Step-by-step explanation:

(3 times 2) times 2/3

6 times 2/3

2 times 2

=4

Answer:

9400 lol I hope its right but I'm not sure how I got it tho i hope it help

Answer: 28 pairs

Step-by-step explanation:

12 times 5 is 60, so she has 60 pairs in total. She gives 32 pairs to one son, so 60-32 is 28. The other son receives 28 pairs of socks.

Answer:

the answer is 2,95

Answer:

y-intercept:  (0, 75) ⇒ y = 75

x-intercepts:  (3, 0) and (5, 0) ⇒ x = 3 and x = 5

vertex: (4, -5)

Step-by-step explanation:

Let the x-axis be the ground (when y = 0).  Therefore underground when y < 0 and overground when y > 0

The function is a quadratic:  f(x) = ax² + bx + c

If the coaster enters the tunnel three seconds after the first descent starts and stays in the tunnel for a total of 2 seconds, then y = 0 when x = 3 and x = 5

Also, when x = 1, y = 40

Solve 2 equations simultaneously:

⇒ a = 5  b = -40  c = 75

⇒ f(x) = 5x² - 40x + 75

y-intercept

when x = 0

⇒ f(0) = 5(0²) - 40(0) + 75 = 75

⇒ y-intercept = (0, 75)

x-intercepts

x = 3 and x = 5

Vertex

If the x-intercepts are when x = 3 and x = 5, then vertex is when x = 4

⇒ f(4) = 5(4²) - 40(4) + 75 = -5

⇒ vertex = (4, -5)

Hi!

We are given the information found in the picture below.

Note: The directions aren't correct, but the triangle works for this problem.

The "direct path" is the hypotenuse of this triangle.

To find this, we use the Pythagorean Theorem, where [tex]a[/tex] and [tex]b[/tex] are 2 legs of the triangle, and [tex]c[/tex] is the hypotenuse, aka the longest side of any triangle:

[tex]a^2+b^2=c^2[/tex]

We know [tex]a[/tex] and [tex]b[/tex] and want [tex]c[/tex]

[tex]4^2+5^2=c^2[/tex]

[tex]16+25=c^2[/tex]

[tex]41=c^2[/tex]

Therefore, [tex]c[/tex] is approximately [tex]6.403[/tex]

Answer:

it is 4+4/2

Step-by-step explanation:

you use pemdas which is

parenthesis, exponents, multiplication, division, addition, and subtraction.

now you go from left to right so if you see division before multiplication then you will do division first because addition and subtraction and multiplication and division are equal so multiplication is not more important than division and addition is not more impirtant than subtraction.

so basically you do 4/2 which is 2

and

4+2=6

Answer:

A

Step-by-step explanation:

2 x 4 = 8

3 x 4 = 12

2/3 = 8/12

Answer:

is this science or math ?

Step-by-step explanation:

Answer:

634.931315 ounces

Step-by-step explanation:

Like that

The end behavior of the parent function is consistent.

As x approaches infinity, the y-values slowly get larger, approaching infinity. As x approaches 0 from the right (denoted as x → 0+), the y-values approach negative infinity.

Answer:

231.04

Step-by-step explanation:

Answer:

229.14

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

( -2 , 1 )

Step-by-step explanation:

Add the 2 equations downwards.

( -x+4y=6 ) + ( 2x-y=-5 )...consider the sign of each term.

= x + 3y = 1

Put -2 in x because that's where the graph above shows an intersection of the 2 equations.

-2 + 3y = 1

3y = 3

y = 1.

( x , y) = ( -2 , 1 )

Answer:

third from top down

Step-by-step explanation:

We can think of f(x) as y

y = 3 if x ≥ 3, y coordinate is always 3, while x coordinate starts at 3 inclusive and goes on toward +∞

y = -1 if x ≤ -1, y coordinate is always -1, while x coordinate starts at -1 inclusive and goes on toward - ∞

Answer:

sector area: 113.3

Step-by-step explanation:

Answer:

12 pieces

Step-by-step explanation:

4 4/5 = 24/5 / 2/5 = 12

The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r

Variation is defined as the changing of variable parameters. In problems relating to two or more variables, it is seen that the value of variable changes with respect to the other.

Variation can be direct, inverse, partial and joint in nature

Given the following parameters

The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r

learn more on variation here: https://brainly.com/question/6499629

Answer:Four heads trust me.

Answer:

4

Step-by-step explanation:

54 x 40 = 2160 L

2160 ÷ 600 = 3.6 = 4

The number of the cartons of 600 mL will be 4.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The school tuck-shop has milk in 600 mL and 1 liter cartons.

If there are 54 cartons and 40 L of milk in total.

The number of the cartons of 600 mL will be

⇒ 54 x 40

⇒ 2160 L

The number of cartons will be

⇒ 2160/600

⇒ 3.6

⇒ 4

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer: y=-5x-36

Step-by-step explanation:

In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.

slope(m) =-5

and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)

point slope formula: y-y1=m(x-x1)    

y-4=-5(x--8)

simplify and pay attention to negative signs

y-4=-5(x+8)

y-4=-5x-40

y=-5x-36

:)

Answer:

of the question is in the simple 0.45

Answer:

[tex]\huge\boxed{\sf(2, -5)}}[/tex]

Step-by-step explanation:

Hello.

The x-coordinate is always the first, so find the x-axis and count down.

Remember, the x-axis is horizontal (like this: ------------------->)

The x-coordinate of Dallas is 2.

Now, the y-axis is vertical.

Find it and count down.

The y-coordinate is -5.

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Step-by-step explanation:

Let's solve your system by elimination.

3k−4m=−1;2k+3m=12

Multiply the first equation by 3,and multiply the second equation by 4.

3(3k−4m=−1)

4(2k+3m=12)

Becomes:

9k−12m=−3

8k+12m=48

Add these equations to eliminate m:

17k=45

Then solve17k=45for k:

17k=45

----

17k

=17

45

17

(Divide both sides by 17)

k=

45

17

Now that we've found k let's plug it back in to solve for m.

Write down an original equation:

3k−4m=−1

Substitute

45

17

forkin3k−4m=−1:

3(

45

17

)−4m=−1

−4m+

135

17

=−1(Simplify both sides of the equation)

−4m+

135

17

+

−135

17

=−1+

−135

17

(Add (-135)/17 to both sides)

−4m=

−152

17

−4m

−4

=

−152

17

−4

(Divide both sides by -4)

m=

38

17

Answer:

k=

45

17 and m=

38

17

Answer:

x = 25

Step-by-step explanation:

ΔBDR ~ ΔQDC

so

(24 + 40)/(15 + x) = 40/x

or

(24 + 40)/40 = (15 + x)/x

24/40 + 40/40 = 15/x + x/x

3/5 + 1 = 15/x + 1

3/5 = 15/x

Cross multiply,

3x = 15*5 = 75

x = 75/3 = 25

Answer:

Math is hard.i do not know this

Answer: The second option would be the answer

Step-by-step explanation:

Factoring the number is just listing all the whole numbers it can be divided by, and in this case it includes the variable. 16a is dividable by 1, 2, 4, 8, 16, and a; since 16a / a = 16. Apply this to 18b, and 1, 2, 3, 6, 9, 18, and b.

9 bags sorry for the other answer

she has 7 boxes at home, then she goes and buys 6 more from the store, now she has 7 + 6 = 13 boxes of chips, each box of chip has 13 bags, so the total amount of potato chips I guess is 13 * 13 = 169 bags total.

So she split it even among her 9 students, so how many times does 9 go into 169?  169 ÷ 9, has a quotient of 18 with a remainder of 7.

18 * 9 = 162, plus 7 = 169, which is the total amount of potato chips bags.