An ice cream store with 12 different flavors sells one and two-scoop ice cream cones. A boy sitting outside the store counted 11 people with ice cream cones and a total of 15 scoops of ice cream. How many one scoop cones were sold?

Answer:

Step-by-step explanation:

The null and alternative hypothesis:

\(H_o \text{: Quality of management and reputation of company are independent}\)

\(H_a \text{: Quality of management is not independent of the reputation of company }\)

The observed values:

                      Excellent     Good    Fair    Total

Excellent           40               25        8        73

Good                 35               35        10       80

Fair                     25              10         12       47

Total                 100             70          30      200

The expected values  = (Row total/column total)/grand total)

                      Excellent     Good        Fair    

Excellent           36.5          25.55      10.95  

Good                  40             28             12

Fair                    23.5         16.45         7.05

O                E                    (O - E)²/E

40              36.5                0.3356

35              40                   0.6250

25              23.5                0.0957

25              25.55              0.0118

35              28                    1.7500

10               16.45                2.5290

8                 10.95               0.7947

10                12                    0.3333

12                 7.05                3.4755

                                            9.951

\(X^2 = \sum \dfrac{(O-E)^2}{E} \\ \\ \mathbf{X^2 = 9.951}\)

Degree of freedom \(df = (r-1)(c-1)\)

\(df = (3 - 1 ) (3 - 1)\)

\(df = (2)(2)\)

\(df = 4\)

Using Excel formula =CHIDIST(x²,d.f)

The P-value = 0.0413

Answer:

0.1032

Step-by-step explanation:

Answer:

25000

Step-by-step explanation:

10x10=100

100x10=1000

1000x10=10000

10000x10=100000

100000 divied by 4= 25000

Answer:X=15 Y=4

Step-by-step explanation:

1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.

2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.

3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64

Answer:

Y=-4x 2

Step-by-step explanation:

The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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Answer:

The answer to your question would be 75 minutes = 1 hour and 15 minutes

Step-by-step explanation:

50 minutes to read 20 pages

10 pages = 25 minutes

20 pages = 50 minutes

30 pages = 75 minutes = 1 hours and 15 minutes

Answer:

\( slope (m) = 6 \)

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

Apply the formula, \( \frac{y_2 - y_1}{x_2 - x_1} \), where,

\( (-1, 0) = (x_1, y_1) \)

\( (0, 6) = (x_2, y_2) \)

Thus:

\( m = \frac{6 - 0}{0 - (-1)} \)

\( m = \frac{6}{1} \)

\( slope (m) = 6 \)

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

The best statement that represents the OU daily's null hypothesis is OU Sooners = USC Trojans

What is statement ?

A declarative sentence that can only be true or false—neither—is referred to as a statement. A proposition may also be used to refer to a statement. There must be no uncertainty; this is crucial. A sentence can only be true or untrue, not both, in order to be considered a statement.

A meaningful group of words can be used to form a mathematical assertion, which can either be true or untrue. They are simply referred to as a statement. For example, the word "p" could stand for the phrase "ABC is an equilateral triangle." In an equilateral triangle, p thus equals ABC.

OU daily - predicts that,

the OU Sooners will have a better football season than the USC Trojans

The best represents the OU Daily's null hypothesis is,

∴ OU Sooner = USC Trojans

The null and alternative hypothesis is

Null Hypothesis :

OU Sooner = USC Trojans

Alternative Hypothesis : OU Sooner > USC Trojans

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Answer:

There were 60 audience members at the seminar.

Step-by-step explanation:

Let's assume that the total number of audience members at the seminar is "x".

From the given information, we know that:

2/5 of the audience were students, so the number of students was (2/5)x

3/10 of the audience were retirees, so the number of retirees was (3/10)x

The rest were professionals, so the number of professionals was x - (2/5)x - (3/10)x = (1/10)x

We also know that there were 18 more students than professionals, so:

(2/5)x - (1/10)x = 18

Multiplying both sides by 10, we get:

4x - x = 180

Simplifying, we get:

3x = 180

x = 60

Therefore, there were 60 audience members at the seminar.

Answer:

(−2)(2)+(3)(−5)

=−19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

(-2)2 + 3 * (-5)

-2 * 2 = -4

3 * -5 = -15

-4 + -15 = -19

Assuming your teacher wants you to use 3.14 for pi, then,

C = circumference = perimeter around the circle

C = 2*pi*r

r = C/(2*pi)

r = (25.12)/(2*3.14)

r = 4 inches is the radius

The radius of the circle is 4 inches

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the circumference of the circle be = A

Now , Circumference A = 25.12 inches

The circumference of circle = 2πr

π = 3.14

Substituting the values in the equation , we get

2πr = 25.12

Divide by π on both sides , we get

2r = 8

Divide by 2 on both sides , we get

r = 4 inches

Therefore , the value of r is 4 inches

Hence , The radius of the circle is 4 inches

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Using the binomial distribution, it is found that:

a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem:

Item a:

Supposing 5% defective, we have that \(p = 0.05\).

The probability is:

\(P(X \geq 3) = 1 - P(X < 3)\)

In which

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774\)

\(P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650\)

\(P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305\)

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729\)

\(P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271\)

0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.

Item b:

The mean is:

\(E(X) = np = 25(0.05) = 1.25\)

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09\)

The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.

Item c:

20% are defective, so 80% are good, which means that \(p = 0.8\)

The probability is:

\(P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108\)

\(P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633\)

\(P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960\)

\(P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867\)

\(P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358\)

\(P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708\)

\(P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236\)

\(P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038\)

Then:

\(P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908\)

0.8908 = 89.08% probability that more than 17 chips in the sample are good.

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Answer:

8×2+8×g

Step-by-step explanation:

Answer:

In 1 hour you *COUGHS* a car can travel 102 miles

Step-by-step explanation:

1530 miles: 15 hours

so let's say x is how many hours there are in 1 hour.

x miles: 1 hours

15 hours to: 1 hour?

what do you think you should do?

I'll give ya a hint, it's a ratio

HINT HINT: divide 15 hours by 15 to get 1 hour. You think u can do the same to 1530 miles? just divide it by 15

Answer:

42÷(-6). 42÷(-7).

Step-by-step explanation:

Is this what you want?

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

60%, 40%

Step-by-step explanation:

there are 1,2,3,4,5,6 numbers in the dice the even numbers are moreover than the odd so It 60%,40%

Answer:

50%, or mutually exclusive

Step-by-step explanation:

A die has 6 sides 1-6. So there are three odd numbers (1,3,5) and three even number (2,4,6). It is a single throw so the die can only land on one number mutually exclusive number, since there are the same amount of odd numbers as even the probability is 50%.

Answer:

Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140  

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Answer:

A

Step-by-step explanation:

because it's negative 4, you move the decimal 4 times to the left

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

3/56

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles.

The total number of marbles in the box

= 1 + 3 + 2 + 2

= 8 marbles

The probability that the first marble is white and the second marble is blue

= 3/8 * 1/7

= 3/56

Answer:

Thats for question number 4 and 5, i don't know for 3

Answer:

$506.03

Step-by-step explanation:

15% off of $549.95 = $467.46

8.25 tax on $467.46 = $506.03

Answer:

Estimate: 0.05, Scientific Notation: 5*10^-2

Step-by-step explanation:

Using the rules of rounding, we get 0.05. Next, all we do is move the decimal place to the right, and count the amount of times we move it to the left, 2, so the exponent is -2

Answer:

-0.286

Step-by-step explanation:

1 5/7 = 1.7143

1.7143/-6 = -0.286