Solve each inequality, and then drag the correct solution graph to the inequality.

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:

x = -11/3, y = -4/3

Step-by-step explanation:

[tex]y-2x=6\\y = 2x + 6[/tex]

[tex]3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3[/tex]

[tex]3y = -4\\y = -4/3[/tex]

Answer: (2,72) (5,189

Step-by-step explanation:

I did the I Ready

Answer:

-1.75

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

5/4-(-1/2)

5/4+1/2

5/4+2/4

7/4

Answer:

3 one

Step-by-step explanation:

seems logical hope this helped

Answer:

7/4 +1/6 +X=15/2

1/6+X=15/2-7/4

1/6+X=30/4-7/4

X=23/4 - 1/6

X= 138-4/24

134/24

5.58333

Step-by-step explanation:

Answer:

6 4/12

Step-by-step explanation:

1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2

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:

40

Step-by-step explanation:

28 divided by 7= 4 (to get the number of 1/10)

4 x 10= 40

Answer:

40

Step-by-step explanation:

7/10x = 28

28/0.7 = x

40 = x

Answer:

no

Step-by-step explanation:

m+m+m = 3m

m+3=m+3

they are not equal

Hope it helps!

Answer:

yes because there is 3 m so m plus 3 is equivalent to it

Step-by-step explanation:

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

6x-11

Step-by-step explanation:

36x² - 121 is the difference of squares.

36x² - 121 = (6x+11)(6x-11)

Answer:

it is number 4

Step-by-step explanation:

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:

B

Step-by-step explanation:

I am so sorry if that is incorrect

Answer:

The supplier becomes less accurate than they otherwise would have tried to claim. A further explanation is below.

Step-by-step explanation:

According to the provider, this same width of that same confidence interval would be as follows:

= [tex]50.38 - 50.02[/tex]

= [tex]0.36[/tex]

Depending on the input observed, the width including its confidence interval would be as follows:

= [tex]50.39 - 50.01[/tex]

= [tex]0.38[/tex]

As even the width of that interval again for survey asserted > the width including its confidence interval according to the provider's statement, we could conclude that such is the appropriate reaction.

Answer:

x = 66

Step-by-step explanation:

Shapes with four sides are always 360 degrees

x + x - 20 + x + 40 + 2x + 10 = 360

combine like terms

5x + 30 = 360

subtract 30 from both sides

5x = 330

divide 5 from both sides

x = 66

Answer:

Part A:  y = 3

Part B:  Area = 60 sq units

Step-by-step explanation:

we can create this system of equations from the information given:

8y + 2x = 34

10y + 2x = 40

now we can subtract to get:

-2y = -6

y = 3

solve for 'x':

8(3) + 2x = 34

24 + 2x = 34

2x = 10

x = 5

Area of Rectangle is 12 x 5

Answer:

3xz5+2x+4y−2z

Step-by-step explanation:

2x−5y+3z5x+9y−2z

=2x+−5y+3xz5+9y+−2z

Combine Like Terms:

=2x+−5y+3xz5+9y+−2z

=(3xz5)+(2x)+(−5y+9y)+(−2z)

=3xz5+2x+4y+−2z

Answer:

i need help to yall help usssssssssssssssssssss pls

Step-by-step explanation:

Answer:

306/x = 72/100

72x= 306 x 100

72x = 30600

X = 425

Step-by-step explanation:

Answer:

D is located at (-5, 2)

Answer:

point D

Step-by-step explanation:

(-5, 2) can be represented as (x, y)

This mean when x = -5, y is = 2

We need to trace the x-axis to -5 and get the corresponding point at y equals to 2

Tracing the point on the graph, we find the point D is at x = -5 and y = 2

Hence, point D is located at (-5, 2)

Determine if the following lines are parallel, perpendicular, or neither

y = 6x- 12x + 2y = -1

Select the correct answer below:

Parallel

O Perpendicular

Neither parallel nor perpendicular

Answer:

It's perpendicular

Answer:

area of rectangle=l×b=2.4×5.8=13.92cm²

Answer:

a. [tex]\frac{2}{13}[/tex]

b. [tex]\frac{3}{13}[/tex]

c. See the step-by-step explanation.

Step-by-step explanation:

A table given by OP

State Year

Tennessee 2002

Tennessee 2002

Ohio 2002

Alabama 2003

Maine 2003

Florida 2004

Florida 2004

Florida 2004

Texas 2004

Texas 2004

California 2005

California 2005

Kansas 2005

a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is [tex]\frac{2}{13}[/tex].

b. Analagously, the probability is  [tex]\frac{3}{13}[/tex], because there are 3 quarters minted in 2002.

c. See a and b.

Answer:

AB would be 21

Step-by-step explanation:

Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.