The diameter of circle is 4cm. Determine the are of the circle.

Answer: 13% or  0.1314

Step-by-step explanation: Binomial PDF on the calculator or by hand its

22 nCr 15 (0.60)^15(1-0.6)^7 = 0.131378

The probability in a survey of 22 Americans where exactly 15 of them will respond that they love beets given that 60% of American love beets is 0.131.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The binomial probability distribution:

\(^nC_r p^r (1 - p)^{n - r}\)

Now,

p = 60% = 60/100 = 0.6

1 - p = 1 - 0.6 = 0.4

n = 22

r = 15

Now,

\(^nC_r p^r (1 - p)^{n - r}\)

= \(^{22}C_{15}(0.6)^{15} (0.4)^{22 - 15}\)

= \(^{22}C_{15}(0.6)^{15} (0.4)^7\)

= 0.1313

Thus,

The probability is 0.131.

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The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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Answer: As soon as possible

Step-by-step Explanation: You just say ASAP for As soon as possible

Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.

Therefore, The total number of grapes Mr.West ate is,

= 11×(2 1/11) grapes.

= 11×(23/11) grapes.

= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.

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The probability that X is between 90 and 110 = 0.2 if a normally distributed random variable x has a mean of 100 and P(x < 90) = 0.40.

The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean.

The probabilities for values that are farther from the mean taper off equally in both directions. Extreme values in the distribution's two tails are likewise rare. Not all symmetrical distributions are normal, even though the normal distribution is symmetrical.

A normally distributed random variable x has a mean of 100

P(x < 90) = 0.4

The probability that X is between 90 and 110

Mean is 100

Hence P (< 100) = 0.5  as Mean is centered

Hence

P  (90 < X < 100) = 0.5 - 0.4 = 0.1

The difference between 100 and 90 is 10

The difference between 100 and 110 is 10

and 100 is Mean

Hence P  (100 < X < 110) = P  (90 < X < 100) = 0.1

Adding Both

P ( 90 < X < 110) = 0.1 + 0.1 = 0.2

The probability that X is between 90 and 110 = 0.2

Using z score table.

Z  = ( Value - Mean) /SD

Z score for 0.4 = -0.254

-0.253 = (90 - 100)/SD

SD ≈ 39.53

Z = ( 110 - 100)/39.53

Z = 0.253

For z score  < 0.253, the probability is 0.6

Hence Probability in Between is 0.6 - 0.4 = 0.2

The probability that X is between 90 and 110 = 0.2

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Answer:

9

Step-by-step explanation:

The mean squared error (MSE)of a set of observations can be calculated using the formula :

(1/n)Σ(Actual values - predicted values)^2

Where n = number of observations

Steps :

Error values of each observation (difference between actual and predicted values) is squared.

Step 2:

The squared values are summed

Step 3:

The summation is the divided by the number of observations

The difference between the actual and predicted values is known as the ERROR.

(1/n)Σ(ERROR)^2

n = 3

Error = +3, +3, - 3

MSE = (1/3)Σ[(3)^2 + (3)^2 + (-3)^2]

MSE = (1/3) × [9 + 9 + 9]

MSE = (1/3) × 27

MSE = 9

Answer:

try 2to4 let me see or if it's wrong correcte

Answer:10:7

Step-by-step explanation:

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

Step-by-step explanation:

Formula: A=πr2

3.14 x 17^2 = 907.46 in2

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer:

D, no idea how the other one came to the conclusion that B would be right

f(0) is -3, but there is no zero point at -3 (-3/0)

The graph has no minimum value btw, just a maximum value of 1

pls brainliest

Answer:

-3/18 because you can divide them both by 3, which will give you -1/6

Step-by-step explanation:

Answer:

Q= 8

The amount emptied is 8 gallons of water

Step-by-step explanation:

First we need to create the equation for the above statement.

Q is directly proportional to the square of d

Q= kd²

Q= 50

d= 5

50= k5²

50 = k25

K = 50/25

K = 2

K is the constant of proportionality.

Now our equation is

Q= 2d²

Where Q = volume in gallons

d = pipe diameters in inch

For a pipe of diameter 2 inch

The amount of gallons of water emptied assuming the same kinf of flow is

Q= 2d²

Q= 2(2)²

Q= 2(4)

Q= 8

The amount emptied is 8 gallons of water

You have the next diagram:

R=10+5=15

B=5+8=13

R∩B=5

U=49+5+8+10=72

The number of fruits that are not reds is those that are outside of the set R: 57

The number of fruits that are berries is those that are in the set B: 13

The number of fruits that are red berries is those that are in set R and in set B: 5

The number of fruits that are not red and not berries is those that are outside the sets R and outside the set B: 49

Answer:

52 and 45

Step-by-step explanation:

Let's call the two numbers x and y.

x+y=97

x-y=7

Let's add together the two equations:

2x=104

x=52

Since 52-y=7, y must be 45. Hope this helps!

If the sum of two numbers be 97 and their difference is 7 then the first number is 52 and second will be 45.

An arithmetical value, expressed by a word representing a particular quantity and used in counting and making calculations.

let the first number is x. Because the sum of both numbers is 97 then the second number will be 97-x.

We have been given that their difference is 7 so by calculating the difference between the numbers we will get

x-(97-x)=7

x-97+x=7

2x=104

x=52

Calculating the second number through 97-x=97-52=45.

Hence the required numbers are 52 and 45.

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Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

Answer:

Step-by-step explanation:

plug in 7

f(x)=3(7)+2

multiply 3 and 7 which is 21

and 2

f(x)=23.

Answer:

the answer is by making this question make sense and less confusing

Step-by-step explanation:

Answer:

1m 10cm

Step-by-step explanation:

1. Find the Greatest Common Factor of 4m, 9m, and 16m

  factors of 4m: 1, 2, 4, m

  factors of 9m: 1, 3, 9, m

  factors of 16m: 1, 2, 4, 8, 16, m

  GCF = 1m

2. Find the GCF of 50cm, 90cm, and 20cm

   factors of 50cm: 1, 2, 5, 10, 25, 50, cm

   ... 90cm: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, cm

   ... 20cm: 1, 2, 4, 5, 10, 20, cm

   GCF: 10cm

The required measure of the length of the plank that can measure all the given length is 1 m 10 cm.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

here,
Given lengths,
= 4 m  50 cm
= 9 m 90 cm
= 16m  20 cm

Taking GCF in both the segment of lengths in meters and centimeters.
For meters = [4, 9, 16]

GCF = 1 m

For centimeters = [50, 90, 20]
GCF = 10 cm

Thus, the required measure of the length of the plank that can measure all the given length is 1 m 10 cm.

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I hope it helps you ❤️❤️❤️❤️

Answer:

2.052 your answer was correct!

Step-by-step explanation:

Answer:

A, D, E

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

\(\frac{1}{\sin \left(10^{\circ \:\:}\right)}\:\:\frac{1}{\sin \:\left(10^{\circ \:\:}\right)}=4\)

Step-by-step explanation:

Given the expression

\(\frac{1}{\sin \left(10^{\circ \:}\right)}-\frac{\sqrt{3}}{\cos \left(10^{\circ \:}\right)}=4\)

Taking the left-hand side and solving it

\(\frac{1}{\sin \left(10^{\circ \:}\right)}-\frac{\sqrt{3}}{\cos \left(10^{\circ \:}\right)}\)

as

\(\frac{1}{\sin \:\left(10^{\circ \:\:}\right)}=5.76\)

and

\(\frac{\sqrt{3}}{\cos \left(10^{\circ \:\:}\right)}=1.76\)

so the expression becomes

\(\frac{1}{\sin \left(10^{\circ \:\:}\right)}\:\:\frac{1}{\sin \:\left(10^{\circ \:\:}\right)}=5.76-1.76\)

                           \(=4\)

Thus, we conclude that

\(\frac{1}{\sin \left(10^{\circ \:\:}\right)}\:\:\frac{1}{\sin \:\left(10^{\circ \:\:}\right)}=4\)

Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

  5c = 2t

  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

Answer:

A

Step-by-step explanation:

(b-3)(b-3) would equal (b^2–6b+9), when using the foil method.

Answer:

The answer is correct, here's why:

Step-by-step explanation:

Dr. Silva's tank holds 15\(\frac{7}{8}\) gallons of gas.

She added 11.55 gallons to her tank to fill it up.

This means she must have had 5\(\frac{13}{40}\) gallons to start with because 5\(\frac{7}{8}\) - 11.55 = 5\(\frac{13}{40}\)

Answer:

20

Step-by-step explanation: