A candy company claims that 25% of the candies in its bags are colored green. Steve buys 32 bags of 32 candies, randomly selects one candy from each, and counts the number of green candies. If there are 7, 8, or 9 green candies, Steve will conclude that the company's claim is correct. What is the probability of Steve agreeing with the company's claim? Use Excel to find the probability.

Answers

Answer 1

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%


Related Questions

Please help with this!!! My grade depends on it!!!

Answers

Answer:

52 degree

Step-by-step explanation:

So using cos again again :v

AC^2 = AB^2 +BC^2 - 2ABBCcosB

AC = 31.796cm

then

BC^2=AB^2 + AC^2 -2ABACcosA

Cos A = 0.61

A=52.17degree

An empty cup in the shape of a cylinder (pictured below) is being filled with water.

7
cm
7 cm
3
cm
3 cm
The cup is filled at a constant rate. The table below shows the amount of water in the cup at specific times.
Number of seconds Amount of water
(
cm
3
)
(cm
3
)left parenthesis, start text, c, m, end text, cubed, right parenthesis
0
00
0
00
3
33
75
7575
6
66
150
150150
Find the percent of the cup that is filled with water after
7
77 seconds.
Use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest percent.

%

Answers

Answer:

The answer is 88%

After 7 seconds the cup is about 88% filled with water.

This table shows the number of different sized pipes that have been used at Highfield Builders in January.
The pipes are grouped according to the size of their diameter.
January: Number of Pipes Used (by Grouped Size)
Diameter (cm)
35-39
40-44
45-49
50-54
55-59
Frequency
8
10
13
3
1
The manager thinks that the mean diameter of pipe used must be in the 45-49 cm group as this is the group
most used.
Is the manager correct?
Show your working out and write the answer in the box below.
(5 marks)​

Answers

Answer:

No

Mean diameter = 44, which is in the 40 - 44 cm group

Step-by-step explanation:

Given the data:

Diameter (cm) - mid point(X) - frequency(F) - - FX

35-39 - - - - 37 - - - - 8 - - 296

40-44 - - - 42 - - - 10 - - - 420

45-49 - - - 47 - - - 13 - - - 611

50-54 - - - 52 - - - 3 - - - 156

55-59 - - - 57 - - - 1 - - - 57

Mean of grouped data:

Sum of (F × X) / sum of F

1540 / 35 = 44

Which of the following is the function for the graph shown?

Answers

Answer: A. [tex]y = x^{2} + 6x + 8[/tex]

Step-by-step explanation:

You can plug in the know point of (-3, -1) to each equation to see which one fits. The correct one in this case is [tex]y = x^{2} + 6x + 8[/tex]

The sum of the two numbers is 49 and the difference is 11. What are the numbers?

Answers

Answer:

30,19

Step-by-step explanation:

let the numbers be x and y,x>y

x+y=49

x-y=11

add

2x=60

x=60/2=30

30+y=49

y=49-30=19

Answer:

x = first number = 30 and y = second number = 19

Step-by-step explanation:

let the first number be x and second number be y.

According to the given information

The sum of the two numbers is 49

Here, we get the equation.

x + y = 49

Now, Similarly second given information

the difference is 11.

Here, we get the equation.

x - y = 11

Now,

Step 1:

Name the equations

x + y = 49 ...(1)

x - y = 11 ...(2)

Step 2:

Now,

From equation (1) we get,

x = 49 - y

Substitute the value of x = 49 - y in equation (2) we get,

x - y = 11

i.e.,

49 - y - y = 11

49 - 2y = 11

-2y + 49 = 11

2y - 49 = - 11

2y = 49 - 11

2y = 38

y = 38/2

y = 19

Step 3:

Now,

Put the value of y = 19 in equation (1), we get.

x + y = 49

i.e.,

x + 19 = 49

x = 49 - 19

x = 30

Thus, The value of x = first number = 30 and y = second number = 19

VERIFICATION:

30 + 19 = 49

30 - 19 = 11

Jamila babysits to earn money. The mean amount she
earns each time she babysits is $24. If she babysits
nine evenings and earns the following amounts: $15,
$20, $10, $12, $20, $16, $18, and $25, how much did she
earn the ninth evening?​

Answers

Answer:

$80

Step-by-step explanation:

Give jamila's Mean earning = $24

let her ninth earning be x

we know that mean= (∑sumation of earnings)/number of earnings

[tex]24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}[/tex]

[tex]24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80[/tex]

Her ninth earning is $80

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

[tex]4x^2 + 12x + 8[/tex]

Step-by-step explanation:

Area of rectangle

= height * width

[tex]=4(x^2 +3x +2)\\= 4x^2 + 12x + 8[/tex]

Answer:

add 2 and 4

Step-by-step explanation:

x²+3x+6

Find the square root of 529/729 .

Answers

Answer:

23/27

Step-by-step explanation:

The square root of 529 is 23

while the square root of 729 is 27

Answer:

23/27

Step-by-step explanation:

529=23^2

729=27^2

sqrt{529/729} =sqrt{[tex]23^{2}[/tex]/[tex]27^{2}[/tex]}

= 23/27

-6x+2y=-18. -3x-2y=54

Answers

Answer:

x = -4

y = -21

Step-by-step explanation:

To solve this, we will need to set up a system of equations and get rid of a variable.

-3x - 2y = 54

-6x + 2y = -18

From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:

-3x - 2y = 54

-6x + 2y = -18

-------------------- +

-9x = 36

x = -4

Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.

-3(-4) -2y = 54

12 - 2y = 54

-2y = 42

y = -21.

Circle M has the central angle LAMB with a measure of 63º. Which of the following statements does not represent the
circle M?
O AB is a minor arc
O mAB=63
The center of the circle is point M.
O AB is a major arc

Answers

Answer:

O AB is a major arc

Step-by-step explanation:

Circle M has the central angle LAMB with a measure of 63º

Which of the following statements does not represent the  circle M?

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

O AB is a minor arc

yes, it is 63º, less than half

O mAB=63 º

yes

O The center of the circle is point M.

yes

O AB is a major arc

no, it is not more than half

HELP ASAP PLEASE!!! A patient is to take 60 milligrams (mg) of an antibiotic on day 1, take 45 milligrams (mg) on day 2, take 30 milligrams (mg) on day 3 and take 15 milligrams (mg) on day 4. How many total milligrams (mg) will the patient take? (Show your work)

Answers

Answer:

150 mg

Step-by-step explanation:

This is an addition problem. Simply add the mg of the antibiotic that the patient takes each day.

So  you would do:

60+45+30+15 = 150

Since you get a result of 150, 150 mg is the answer.

The addition is one of the four fundamental mathematical operations. The patient will take a total of 150 mg of antibiotics.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The total amount of antibiotics the patient will take is,

Total Antibiotic = 60mg + 45mg + 30mg + 15mg = 150 mg

Hence, the patient will take a total of 150 mg of antibiotics.

Learn more about Addition:

https://brainly.com/question/14092461

#SPJ2

Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know the prism's volume is 20 cubic units, and they know the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Here is how each of them reasoned: Jada's method: Noah's method: 20 + 10^3 20 + 10^3 30^3 20 + 1000 27,00 1,020 Question: Do you agree either of them? Explain

Answers

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Answer:

Only Noah is correct.

Step-by-step explanation:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Step-by-step explanation:

what is an equation of a line that is perpendicular to the line whos equation is
2y+3x=1

Answers

[tex]\text{First, simplify the equation into slope intercept form:}\\\\2y+3x=1\\\\2y=-3x+1\\\\\text{Divide by 2}\\\\y=-\frac{3}{2}x+1\\\\\text{Now, the perpendicular line is the opposite of the slope, and the opposite}\\\text{value}\\\\\text{Since our original equation is negative, the perpendicular lien will be positive}\\\\\text{And then you would just flip the fraction}\\\\\text{Your perpendicular line should be:}\\\\\boxed{y=\frac{2}{3}x+1}[/tex]

Please help: 3x+10=-5. What is x?

Answers

Answer:

-5

Step-by-step explanation:

Subtract 10 from both sides
3x + (10-10) = -10 - 5
3x = -10 - 5
3x = -15
Divide both sides by 3
3x/3 = -15/3
X = -5

What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2

Answers

Answer:

Area for sector = arc measure/360 degrees times pir^2

145 degrees/360 degrees times pi3.7^2 =

0.40277 times 13.69pi =

17.314in.^2 or B.

•given ABCD is a kite, check every box that must be true

•use calculations and words to show this quadrilateral meets the definition of a kite​

any help would be appreciated <3

Answers

Answer:

Step-by-step explanation:

A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.

The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:

1) two pairs of consecutive sides are congruent

2) The diagonals are perpendicular

3) The diagonals bisect each other.

Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)

[tex]AB=\sqrt{(0-6)^2+(5-3)^2}=\sqrt{40} \\AD=\sqrt{(4-2)^2+(-3-3)^2}=\sqrt{40}\\ BC=\sqrt{(-4-0)^2+(-2-5)^2}=\sqrt{65}\\ DC=\sqrt{(4-(-4)^2)+(-3-(-2))^2}=\sqrt{65}[/tex]

AB=AD, BC = BC.

This is a kite since two pairs of consecutive sides are congruent

Jennifer bought 1 apple and 3 oranges for 5.10 and Linda bought 5 oranges and 1 apple for 7.50 what is the price of 1 apple and 1 orange

Answers

Answer:

$2.70

Step-by-step explanation

Jennifer and Linda both bought one apple, but they bought different numbers of oranges. Looking at the numbers, we see that Linda bought 2 more oranges than Jennifer (they bought the same number of apples, so disregard apples for now, we will look at them later).

Subtracting Jennifer's cost from Linda's cost, 7.50 - 5.10 = 2.40

So, we know that 2 oranges cost $2.40, so 1 orange will then cost $1.20.

Now we know the cost of 1 orange. So, we can find the price of an apple by finding the cost of 3 oranges. 3 x 1.20 = 3.60. So, Jennifer's 3 oranges cost 3.60, and subtract this cost from the total cost and we find that 1 apple costs $1.50.

Add the price of 1 apple and 1 orange. $1.50 + $1.20 = $2.70

ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication

Answers

Answer:

[tex]x=1\,,\,y=-1[/tex]

Step-by-step explanation:

Given: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]

To solve: the given linear equations

Solution:

Consider the equations:

[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]

By method of cross multiplication:

[tex]\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}[/tex]

For equations: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]

[tex]ax+by-(a-b)=0\\bx-ay-(a+b)=0[/tex]

Take [tex]A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)[/tex]

So,

[tex]\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1[/tex]

Juan examines the sequence 1, 3, 4, 7, 11, . . . and draws the conclusion that the next number in the sequence is 18. Which statements regarding the situation are accurate? Check all that apply.

Juan used inductive reasoning.
Juan's conclusion is a conjecture.
Juan's conclusion is not possible.
Juan's conclusion is a counterexample.
Juan based his conclusion on patterns.

Answers

Answer:

Juan conclusion is counterexample

Answer:

1, 2, and 5

Step-by-step explanation:

Solve for f.

–7f − 9 = 9 − 4f

f =

Answers

F= 6.
-7f -9=9-4f
3f-9=9
3f=18
F=6

Answer:

[tex] \boxed{f = -6} [/tex]

Step-by-step explanation:

[tex] = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6[/tex]

given the graphed function below which of the following ordered pairs are found on the inverse function

Answers

Answer:B

Step-by-step explanation:

Answer: A

Step-by-step explanation:my answer was A and it was correct

Simplify (4^3)^5
A.(1/4)^15
B.4^15
C.12^5
D.4^8

Answers

Answer:

4^15

Step-by-step explanation:

(4^3)^5

We know a^b^c = a^(b*c)

(4^3)^5 = 4^(3*5) = 4^15

Answer:

[tex] {4}^{15} [/tex]

Answer B is correct

Step-by-step explanation:

[tex]( { {4}^{3} })^{5} \\ {4}^{3 \times 5} \\ = {4}^{15} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the range of the function shown in the graph?

Answers

Answer:

D. -∞ < y < 5

Step-by-step explanation:

The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.

So the range is:

-∞ < y < 5

Is the relation a function

Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

As long as the input has an output it will always be a function.

Answer:

Yes

Step-by-step explanation:

Because there isn't a number in the input colum that is repeated like:

1

1

2

3

Instead each number is individual and they aren't repeated.

If they were repeated then it would NOT be a function.

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

The slope of the line whose equation is 6x = 4y - 7 is 1. 4 2. 2/3 3. 3/2

Answers

Answer:

3/2

Step-by-step explanation:

Divide by 4 to get 6x/4 = 3x/2

The answer would be 3 over 2

Help me for brainliest...
The scale on a map is 1:320 000. What is the actual distance represented by 1 centimere? Give your answer in kilometres.

Answers

Answer:

1cm = 320 km?

Step-by-step explanation:

Answer:

[tex]3.2km[/tex]

Step-by-step explanation:

[tex]1 \: : 320000 \\ 1cm = 320000cm[/tex]

[tex]1cm = 100m \\ [/tex]

[tex]1cm = 320000cm \\ 1cm = 3200m[/tex]

[tex]1km \: \: = 1000m[/tex]

[tex]1cm = 3200m \\ 1cm = 3.2km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner.

How many centimeters of ribbon will Peter need to make the "X"?

Round your answer to the nearest centimeter.

Answers

Answer: 34 cm

Step-by-step explanation:

Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem (to one triangle)

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between corners) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 12^2 + 12^2  

c^2 =144+144  

c^2 = 288

c = √288

c = 16.97 cm = 17 cm (rounded)

The other diagonal has the exact same lenght (because the flag is a square)

So, we have to multiply the length of the ribbon by 2:

17 x2 = 34 cm

Feel free to ask for more if needed or if you did not understand something.  

Answer:

34

Step-by-step explanation:

I did it on Khan

In a box of crayons 2/5 the crayons are green and 1/6 of purple how much greater is the fraction of green crayons than that of purple A) 1/3 B)3/11 C)1/30 D)7/30

Answers

Answer: 7/30

Step-by-step explanation: 2/5-1/6= 7/30, if it helps pls mark me as brainliest

Name and classify the basic geometric object each real life object represent using correct mathematical notation. a. The location of a city on a map b. The angle of a recliner c. Row of corn in a garden d. The angle of a lawn chair when laid all the way down e. An arrow f. The angle of a jet taking off at an airport g. The angle a flag pole sits with the ground

Answers

Answer:

a. A point

b. Obtuse angle

c. A line segment

d. 180 degrees

e. A ray

f. An acute angle

g. 90 degrees

Step-by-step explanation:

a. A point (a place on a plane that has no dimension)

b. Obtuse angle (any angle over 90 degrees)

c. A line segment (a part of a line)

d. 180 degrees (The angle of a line or line segment)

e. A ray (a line segment with one end extending forever)

f. An acute angle (Any angle under 90 degrees)

g. 90 degrees (the pole is perpendicular to the ground)

5. Shirley buys a fax machine and sells it to De
at a gain of 25% on the cost price. Devi then ses
the fax machine to Amirah at a loss of 250 on the
price at which she buys it from Shirley. If Amirah
pays $360 for the fax machine. how much die
Shirley pay for it​

Answers

Answer:

Shirley bought a fax machine and sells to Devi at a profit of 25% on the cost price.

Shirley buy price:: x

Devi buy price:: 1.25x

Devi sells the fax machine to Amirah at a loss of 250 on the price which she buys it from Shirley.

Amirah buy price = 1.25x -250

if Amirah pays $360 for the fax machine,how much did Shirley pay for it?

Equation:

1.25x - 250 = 360

1.25x = 360 + 250

x = 610 / 1.25

x = 488

Ans: x = $488 (Price Shirley paid)

Other Questions
Square the following numbers: 3 8 10 Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ? What is the value of arc sin(22)? The lateral area of a right cylinder having a base diameter of 10 units and height of 10 units is: The assets and liabilities of Thompson Computer Services at March 31, the end of the current year, and its revenue and expenses for the year are listed below. The common stock was $120,000 and the retained earnings were $60,000 at April 1, the beginning of the current year. During the year, shareholders purchased an additional $25,000 in stock. Accounts payable $2,000 Miscellaneous expense $1,030 Accounts receivable 10,340 Office expense 1,240 Cash 21,420 Supplies 1,670 Fees earned 73,450 Wages expense 23,550 Land 47,000 Dividends 16,570 Building 157,630 Prepare a statement of stockholders' equity for the current year ended March 31. If a net loss is incurred or there is a decrease in stockholders' equity, enter that amount as a negative number using a minus sign. If an amount box does not require an entry, leave it blank. Thompson Computer Services Statement of Stockholders Equity For the Year Ended March 31 Common Stock Retained Earnings Total $ $ $ $ $ $ Polygons QRST and QRST are shown on the coordinate grid: A coordinate plane with two polygons is shown. Polygon QRST has vertices Q at 3 comma negative 5, R at 2 comma negative 1, S at 5 comma 0, and T at 5 comma negative 4. Polygon Q prime R prime S prime T prime has vertices at Q prime negative 5 comma negative 4, R prime at negative 1 comma negative 3, S prime at 0 comma negative 6, and T prime at negative 4 comma negative 6. What set of transformations is performed on QRST to form QRST? A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin A tank is filled with 1000 liters of pure water. Brine containing 0.04 kg of salt per liter enters the tank at 9 liters per minute. Another brine solution containing 0.05 kg of salt per liter enters the tank at 7 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 16 liters per minute. A. Determine the differential equation which describes this system. Let S(t)S(t) denote the number of kg of salt in the tank after tt minutes. Then Please select the word from the list that best fits the definition spread from Arabia into Africa beginning in the A.D. 600s A gas with a volume of 15L at 640K is cooled at a constant pressure until the volume reaches 5L. What is the new temperature? In 1400, German goldsmith Johannes Gutenberg invented the printing press, perhaps the most important moment of the Renaissance. What impact this invention have? Why does Alec give Judson the whiskey? The doctor prescribed 100mg, available 1,000mcg/0.5 mL. How many mL should be administeredto the patient? If h = 12 units and r = 4 units, what is the volume of the cone shown above? Use 3.14 for . Using the following image, apply what you have learned about linear pairs and solve for Factorise 3x square +6x A woman on a bicycle travels at 9 m/s relative to the ground as she passes a little boy on a tricycle going in the opposite direction. If the boy is traveling at 1 m/s relative to the ground, how fast does the boy appear to be moving relative to the woman In November Hillary drove 580 miles in her car the car travelled 33.5 miles for each gallon of petrol used Petrol cost 1.09 per litre 1 gallon = 4.55 litres Work out the cost of the petrol the car used in November During which of the four steps in the federal budget process does Congress develop its own budget?a. Step 3: congressional action on the budgetb. Step 4: implementing the budgetc. Step 2: budget preparation and transmittald. Step 1: formulation of the president's budget fiscal year Suppose the average driving distance for last year's Player's Champion Golf Tournament in Ponte Vedra, FL, was 292.5 yards with a standard deviation of 14.2 yards. A random sample of 60 drives was selected from a total of 4,244 drives that were hit during this tournament. What is the probability that the sample average was 289 yards or less? Look at the spaces indicated in the sentences below where would it be appropriate to put a semicolon?