11.
Look at the graph.
Which describes an interval where the function is increasing?
A -00< X <-4
B-2 < x < 0
C -4 < x < 0
D5< x < 00

Answer:

Explained below.

Step-by-step explanation:

Let X represents the tree heights.

It is provided that X follows a normal distribution with mean μ = 112 inches and standard deviation σ = 10 inches.

(a)

Compute the 22nd percentile of the tree heights as follows:

[tex]P(X<x)=0.22\\\\P(Z<z)=0.22[/tex]

The z-score for the corresponding probability is, z = -0.77.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.77=\frac{x-112}{10}\\\\x=112-(0.77\times 10)\\\\x=104.3[/tex]

Thus, the 22nd percentile of the tree heights is 104.3 inches.

(b)

Compute the 80th percentile of the tree heights as follows:

[tex]P(X<x)=0.80\\\\P(Z<z)=0.80[/tex]

The z-score for the corresponding probability is, z = 0.84.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-112}{10}\\\\x=112+(0.84\times 10)\\\\x=120.4[/tex]

Thus, the 80th percentile of the tree heights is 120.4 inches.

(c)

Compute the first quartile of the tree heights as follows:

[tex]P(X<x)=0.25\\\\P(Z<z)=0.25[/tex]

The z-score for the corresponding probability is, z = -0.67.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.67=\frac{x-112}{10}\\\\x=112-(0.67\times 10)\\\\x=113.3[/tex]

Thus, the first quartile of the tree heights is 113.3 inches.

(d)

The tallest 1% of the trees, i.e. P (X > x) = 0.01.

That is, P (X < x) = 0.99.

⇒ P (Z < z) = 0.99

The corresponding z-value is, z = 2.33.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\0.99=\frac{x-112}{10}\\\\x=112+(0.99\times 10)\\\\x=121.9[/tex]

Thus, the tallest 1% of the trees are more than 121.9 inches tall.

Answer:

odds and probably are the same. If there is 0.25 chance that means there is basically a 25% chance the event will happen or 1/4 chance.

Step-by-step explanation:

Answer:

a. -7 + 3

b. draw 7 negatives + 7 positives

Step-by-step explanation:

Answer:

3.a) -7 + 3

3.b) 4

I hope this helps!

Answer:

10.5

Step-by-step explanation:

Answer:

He would use 10.5 lbs of apples.

Answer:

9and 11

Step-by-step explanation:

it also can be -9 and -11

Answer:

0.000786432

Step-by-step explanation:

In a certain college,20% of the physics majors belong to ethnic minorities

The proportion p = 20%

= 0.2

q = 1 - 0.2 = 0.8

1f 10 students are selected at random from the physics majors

n = 10

x = 7

The formula for Binomial Probability is

= nCx × p^ x × (1−p)^ n−x .

= 10C7 × p⁷ × (0.8) ^10 - 7

= 0.000786432

The probability that exactly 7 belong to an ethnic minority is 0.000786432

Answer:

(D) y = 2x - 5

Step-by-step explanation:

First locate where the line touches the y axis or vertical axis. Then find the rise over run or rate of change (slope) by using the triangle method.

I call this the triangle method because it involves drawing vertical(up, and down), and horizontal(left, and right) lines from the original or diagonal line (hypotenuse or longest line) to create a right (90 degree, because the angle between them forms a square) triangle. First draw a line going to the right from a point on the original line, and form a triangle by connecting the next point with a line going up, and down (vertical line) with the line going to the right (horizontal line)

Then count the units of the vertical line and divide them by the units counted by the horizontal line.

This is k(for constant) or m(slope or steepness of a graph ) = change in or rise of y divided by the change in or rise of x = ∆y(change in or rise of y)/∆x(change in or run of x).

For this graph, starting from -5 or the point where the line touches the y axis. Draw a line going up 1 square to the right, and another going up 2 squares. Repeat this, and you will realise that it's the same pattern every time. Because the line goes up 2 squares, every time it goes to the right 1 square. There is a change of 2 in y every change of 1 in x or rise of 2 for every run of 1. Therefore, the slope is 2/1 = 2. Then since we know the graph touches the y axis at -5, y = 2x - 5

Answer:start on -4 go over 3 right and up 4

Step-by-step explanation:

Answer:

Start at -4 on the y axis(the axis that goes up and down). Then draw a line from this point that goes to the right 3 squares, and up 4 squares. Then just continue the line with the same movements to the right, and opposite movements to the left.

Step-by-step explanation:

Magic

Answer:

226.48°F

Step-by-step explanation:

Temperature of the oven = 298°F

if it has risen 76% of this amount so far, the number of degrees Fahrenheit the inside of the oven has risen so far can be expresses as:

= 76% of 298

= 76/100 * 298

= (76*298)/100

= 0.76*298

= 226.48°F

The temperature inside the oven so far is 226.48°F

Answer: What's the question?

Step-by-step explanation:

Answer:

The probability is approximately 0.2222

Step-by-step explanation:

The correct question is as follows;

Suppose the time to process a loan application follows a uniform distribution over the range 7 to 15 days. What is the probability that a randomly selected loan application takes longer than 14 days to process

Please check attachment for solution to question

Answer:

A. 6 B. 8 min C. yes

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Answer:74 students ate soup

Step-by-step explanation:

37% of 200 = 74

or

.37 x 200 = 74

The standard normal distribution has a mean of 0 and a standard deviation of 1

Answer:

14 in

Step-by-step explanation:

Given:

Circumference of circle = 44 in

Required:

The length of the diameter of the circle.

SOLUTION:

Circumference of circle = πd

Circumference = 44 in

π = 3.14

d = ?

Plug the values into the formula

44 = 3.14*d

Divide both sides by 3.14

44/3.14 = d

14.01 = d

d ≈ 14 in

Answer:

The interquartile range of the data is 12

Step-by-step explanation:

Data : 14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28 12 16 22 28

Data in ascending order : 12 ,14 ,15 ,16 ,16 ,19 ,21 ,22 ,22 ,25 ,27 ,28 ,28 ,30 ,32

Lower quartile :12 ,14 ,15 ,16 ,16 ,19 ,21

Q1 is the median of lower quartile

n = 7

Median =[tex]\frac{n+1}{2} \text{th term}=\frac{7+1}{2}=4 \text{th term}[/tex]=16

Upper quartile :22 ,25 ,27 ,28 ,28 ,30 ,32

Q3 is the median of upper quartile

n = 7

Median =[tex]\frac{n+1}{2} \text{th term}=\frac{7+1}{2}=4 \text{th term}[/tex]=28

IQR = Q3-Q1=28-16= 12

Hence the interquartile range of the data is 12

Answer:

A: 12

Step-by-step explanation:

edg2020

Answer:

3/5

Step-by-step explanation:

m = change in y / change in x

m = 3 / 5

Answer:

The 95% confidence interval  is   [tex] 2.354 <   3.526 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  5

    The sample  data is  3.32  2.53  3.45  2.38   3.01

Gnerally the sample mean is mathematically represented as

      [tex]\= x  =  \frac{\sum x_i}{n}[/tex]

=>    [tex]\= x  =  \frac{3.32+  2.53 +3.45+ 2.38+ 3.01 }{5}[/tex]

=>    [tex]\= x  =   2.94 [/tex]

Generally the standard deviation is mathematically represented as

     [tex]s =  \sqrt{ \frac{ \sum (x_i -  \= x )^2}{n-1} }[/tex]

=> [tex]s =  \sqrt{ \frac{  ( 3.32 -  2.94  )^2 +  ( 2.53 -  2.94  )^2+ \cdots + ( 3.01  -  2.94  )^2}{5-1} }[/tex]

=>  [tex]s =   0.472 [/tex]  

Generally the degree of freedom is mathematically represented  as

    [tex]df =  n-1[/tex]

=>  [tex]df =  5-1[/tex]

=>  [tex]df =  4 [/tex]    

From the question we are told the confidence level is  95% , hence the level of significance is  

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of   [tex]df =  4 [/tex]  is  

   [tex]t_{\frac{\alpha }{2} ,df } =  2.77[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E =t_{\frac{\alpha }{2} ,df }  *  \frac{\sigma }{\sqrt{n} }[/tex]

        [tex]E = 2.77 *  \frac{0.472 }{\sqrt{5} }[/tex]

        [tex]E = 0.586 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

     [tex]2.94-0.586 <  2.94  + 0.586[/tex]

     [tex] 2.354 <   3.526 [/tex]

Answer:

b = 5

mark me as brainliest plz!! :DD

Answer:

24

plz mark me as brainliest :DD

Answer:

The LCM for 6 and 8 = 24

Step-by-step explanation:

Because 24 is the first multiple they have in common.

6 | 8

12| 16

18 | 24  <-- 24

24 | 32

^

24       Least Common Multiple

Answer:

is thisssssssssssssssssss right????????????????????????????

Answer:

Option A: For each increase of 1 gram in mass, A increases by approximately 0.3433 square centimeter.

Step-by-step explanation:

We are given the function;

A= 1321 + 0.3433m

To find the rate of increase of the area, we will find the derivative of the function. Thus;

dA/dm = 0.3433

This means that the area increases at the rate of 0.3433 Sq.metre for each additional 1 gram added to the mass.

Looking at the given options, the one that corresponds to our answer is Option A

Answer:

A) 410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70

B) 410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1

Step-by-step explanation:

In the first statement we are told that the ball should weigh between 410–450 g (14–16 oz), with a circumference of 68–70 cm (27–28 in).

If the weight is x, it means we have the inequality as;

410 ≤ x ≤ 450

If the circumference is denoted as y, we have;

68 ≤ y ≤ 70

Compound inequality is when we join two inequalities with the word "OR" or the word "AND.

Thus, the compound inequality is;

410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70

Similar to he first statement, in the second statement, we have;

410 ≤ x ≤ 450

If the inflated pressure is denoted by z, then we have;

0.6 ≤ x ≤ 1.1

Like in the first statement, the compound inequality can be represented as;

410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1

Answer:

5/9

Step-by-step explanation:

2/3 • 5/2 • 2/3

1/3 • 2/5 • 2/3

multiply 1/3 for 5/2

5

-----------

3 • 2

multiply 3 for 2

5/6 • 2/3

anular el factor común 2

5/3 • 1/3

multiply 5/3 for 1/3

5

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

3 • 3

multiply 3 for 3

5/9

the result

5/9

form decimal

0.5

Answer:

$11.20

Step-by-step explanation:

you just double the cost of 2.5 pounds because 2.5 +2.5 is 5

Answer:20.16

Step-by-step explanation:

That is we want the price of

9

pounds (lets call it

$

x

) to be such that

$

5.60

:

2.5

pounds

is the same as

$

x

:

9

pounds

or written as fractions, we want

$

5.60

2.5

pounds

=

$

x

9

pounds

That is

XXX

$

x

=

$

5.60

2.5

pounds

×

9

pounds

XXXXX

=

$

50.40

2.5

=

$

20.16

Answer:

5000

Step-by-step explanation:

2% of 250,000 is 5000