100 points I need help

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that [tex]p = 0.11[/tex]

Random sample of 200 shafts

This means that [tex]n = 200[/tex]

Mean and Standard deviation:

[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So

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

[tex]Z = \frac{30.5 - 22}{4.42}[/tex]

[tex]Z = 1.92[/tex]

[tex]Z = 1.92[/tex] has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

Answer:

He donated $125 per month.

Step-by-step explanation:

$1250 divided by 10 months to figure out how much he payed each month.

Answer:

where the heck is the pic?

Step-by-step explanation:

Answer:

[tex] \frac{ {x}^{2} }{y(x - y)} + \frac{ {y}^{2} }{ - x(x - y)} [/tex]

[tex] \frac{ {x}^{2} }{y(x - y)} - \frac{ {y}^{2} }{x(x - y)} [/tex]

[tex] \frac{ {x}^{2} \times x - {y}^{2} \times y}{xy(x -y)} [/tex]

[tex] \frac{(x - y)( {x}^{2} + xy + {y}^{2}) }{xy(x - y)} [/tex]

[tex] \frac{ {x}^{2} + xy + {y}^{2} }{xy} [/tex]

Answer:

x=0,5

Step-by-step explanation:

x = 3/2 , -1

y= 4/3 , -1/3

Answer:

A = 3.57 m²

Step-by-step explanation:

Given that,

The circumference of a circle is 7xm.

The expression for the circumference of a circle is given by :

[tex]C=2\pi r[/tex]

r is the radius of the circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{7}{2\times \dfrac{22}{7}}\\\\r=1.11\ m[/tex]

The area of a circle is given by :

[tex]A=\pi r^2\\\\A=3.14\times (1.11)^2\\\\A=3.89\ m^2[/tex]

Out of given option,

A = 3.57 m²

So, the area of the circle is 3.57 m².

Answer:

your answer would be 0 mark as brainliest

10d + 5.50 = x (the total cost)

Answer:

Aaron completed the race in 9 days.  Mitch finished in the race in 8 days 20  hours. Dallas finished in 8 days 18 hours

Step-by-step explanation:

1. Dallas won the race. 8 days 18 hours

2. Mitch came in second. 2 days 5 hours x 4= 8 days 20

3. Aaron was 3rd. 4 days 12 hours x 2= 9 days

Answer:

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Step-by-step explanation:

Step(i):-

Mean of the Population = 191.8 ft

Standard deviation of the Population = 4 ft

Let 'X' be the random variable in normal distribution

X = 182.2 feet

[tex]Z = \frac{x-mean}{S.D}[/tex]

[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]

Step(ii):-

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = P( z≤ -2.4)

                =  1-P(z>2.4)

                = 1-(0.5 + A(2.4))

              =  0.5 - A(2.4)

             = 0.5 - 0.4918

            = 0.0082

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Answer:

x + (-2) - 10 = -18

Step-by-step explanation:

Answer:

4 minutes

Step-by-step explanation:

Miles to Minutes = 3:1

Miles to Minutes = 12:?

12/3=4

Miles to Minutes = 12:(1x4)

Miles to Minutes = 12:4

Miles = 12

Minutes = 4

Answer:

The 4 in the hundreds place has a value 10 times as great as the 4 in the tens place.

Step-by-step explanation:

440 = 400 + 40 + 0

the hundreds place is worth 400 here

it is worth 10x the tens place (40 here)

Answer:

that is true

Step-by-step explanation:

Answer:

3 one

Step-by-step explanation:

seems logical hope this helped

Answer:

D = 45 and C = 26

Step-by-step explanation:

The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer

For D just divide 90 by 2 (90/2)=45

Answer: The person up their is correct

D = 45 and C = 26

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

https://magoosh.com/math/how-to-find-the-measure-of-an-angle/

:D that's where I got my information pls mark me brainlyist

Answer: 4 kilograms of bananas for $7.48

Step-by-step explanation:

Unit price for 1 kilo= $2.06

2.06 x 4 = 8.24

Unit price for 4 kilo= $1.87

2.06 > 1.87

So, 4 kilograms of bananas is the better buy.

Simple form:

Answer 1: 2.06

Answer 2: 1.87

Answer 3: greater than

Answer 4: 4 kilograms of bananas for $7.48

Answer:

they have different answers

Step-by-step explanation:

X - 13 = 4 and 13 - X = 4

for x- 13 = 4

x=4+13=17

x=17

for 13 - x = 4

13-4-x=0

9-x=0

9=x

x=9

Answer:

1 to 3

Step-by-step explanation:

because if you were to divide by 2 you would get your base number 1 that is simplest form

Answer:

question I don't understand what you want to be done herewhat's the q

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Answer:

○ 1. B

○ 2. 146.25

Add the numbers

○3. (-6w) - 8 + 1 (-7w)

(-6w) -7 + (-7w)

Rearrange

(-6w) + -7 + (-7w)

(-6w) + (-7w) - 7

Solution

(-6w) + (-7w) - 7

○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

Answer:

thank you very much

Step-by-step explanation:

thank you

Answer:

54.20

Step-by-step explanation:

When you round you look at the number to the right of the number you're rounding. So you look at the 7. If it is larger than five (in this case it is) you round the number up.

Answer:

c

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

(4+[8=4x(2)]x3)+1

(4+[8=8]x3)+1

(4+[8x3])+1

(4+24)+1

28+1

29

Answer: 6/8

Step-by-step explanation: this is the answer