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High School Statistics Questions asked by Filo students

Question 81

Views: 5,575

Here is a table showing all 52 cards in a standard deck. How many five-card hands (drawn from a standard deck) contain exactly four tens? (A five-card hand is any set of five different cards.)

Topic:

The Nature of Statistics

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Question 82

Views: 5,934

Amy is going to pack snacks to share with her friends on a hike. She has 15 snacks to choose from: 8 are salty and 7 are sweet. She is going to choose 6 snacks. (a) In how many ways can Amy choose 6 snacks if the number of sweet snacks must be greater than or equal to 4 ? (b) In how many ways can Amy choose 6 snacks if the number of sweet snacks must be less than 4 ?

Topic:

The Nature of Statistics

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Question 83

Views: 5,160

α β + β γ + γ α = \frac{c}{a}

α β γ = - \frac{d}{a}

12. Polynomials of higher degree can be divided by polynomials of lower degree and Euclid's division rule can be verified. Very Short Answer Questions

If $p (x) = x^{2} - 5 x + 6$ , then find the values of $p (0), p (- 1)$ and $p (1)$ .
Write a quadratic polynomial whose zeroes are 2 and 3.
Write a quadratic polynomial whose sum and product of zeroes are $32$ and 4 respectively.
If one zero of the polynomial $x^{2} - 3 x + K$ is 2 , then find the volue of ' $K$ '.

Topic:

The Nature of Statistics

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Question 84

Views: 5,089

Short Answer Questions 1. If one zero of the polynomial

p (x) = (k^{2} + 4) x^{2} + 13 x + 4 k

is reciprocal of the other, then find the value of '

k

'. 2. Find the zeroes of the polynomial

x^{2} + 7 x + 12

verify the relation between zeroes and officients. 3. Complete the followi table for the polynomial

p (x) = x^{2} + 4 x + 4

Topic:

The Nature of Statistics

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Question 85

Views: 5,932

Here is a table showing all 52 cards in a standard deck.

Face cards
How many five-card hands (drawn from a standard deck) contain exactly two diamonds?
(A five-card hand is any set of five different cards.)
$\times 5$

Topic:

The Nature of Statistics

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Question 86

Views: 5,556

A DJ is going to pick 4 songs for a playlist. She will choose from 15 songs, 10 of which are rock songs and 5 of which are pop songs. (a) In how many ways can she pick 4 songs if the number of pop songs must be less than 3 ? (b) In how many ways can she pick 4 songs if the number of pop songs must be greater than or equal to 3 ?

Topic:

The Nature of Statistics

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Question 87

Views: 5,690

An event planner is deciding what food to include in a buffet. The caterer has offered 10 cold dishes and 8 hot dishes. Of the 18 dishes offered, the event planner will choose 9. (a) In how many ways can the event planner choose 9 dishes if the number of hot dishes must be less than or equal to 2 ? (b) In how many ways can the event planner choose 9 dishes if the number of hot dishes must be greater than 2 ?

Topic:

The Nature of Statistics

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Question 88

Views: 5,337

A wheel has 10 equally sized slices numbered from 1 to 10 . Some are grey and some are white. The slice numbered 3 is grey. The slices numbered 1,

2, 4, 5, 6, 7, 8, 9

, and 10 are white. The wheel is spun and stops on a slice at random. Let

X

be the event that the wheel stops on a white slice, and let

P (X)

be the probability of

X

X

be the event that the wheel stops on a slice that is not white, and let

P (n o tX)

be the probability of

not X

(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. (b) Subtract.

Topic:

The Nature of Statistics

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Question 89

Views: 5,768

A drug trial had 226 participants. A survey was done to gather information about the participants' experiences with side effects. The table below gives the results for two possible side effects. Construct a Venn diagram illustrating these results. Then answer the questions.

Topic:

The Nature of Statistics

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Question 90

Views: 5,075

A drug trial had 226 participants. A surs results for two possible side effects. Construct a Venn diagram illustrating these results. Then answer the questions.

Topic:

The Nature of Statistics

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Question 91

Views: 5,355

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event

A :

The sum is greater than 7. Event

B

: The sum is not divisible by 4 and not divisible by 5 . Round your answers to two decimal places. (a)

P (A) =

P (B) =

Topic:

The Nature of Statistics

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Question 92

Views: 5,464

a. What do you think we need to do about the immigrant and human rights crisis? b. Provide 2 reasons why you agree or disagree with Biden's limitation of asylum rights for immigrants. Biden administration rolls out new asylum restrictions mirroring Trump-era policy | CNN Politics

Topic:

Organizing Data

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Question 93

Views: 5,114

A wheel has 10 equally sized slices numbered from 1 to 10 . Some are grey and some are white. The slice numbered 3 is grey. The slices numbered

1, 2, 4, 5, 6, 7, 8, 9

, and 10 are white. The wheel is spun and stops on a slice at random. Let

X

be the event that the wheel stops on a white slice, and let

P (X)

be the probability of

X

X

be the event that the wheel stops on a slice that is not white, and let

P (not X)

be the probability of

not X

. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Explanation Check

Topic:

The Nature of Statistics

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Question 94

Views: 5,499

1. There were 2430 Major League Baseball games played in 2009 , and the home team won the game in

53%

of the games. If we consider the games played in 2009 as a sample of all MLB games, test to see if there is evidence, at the

5%

level, that the home team wins more than half the games. (Show all steps of the hypothesis test, including checking conditions and a graph, for full credit)

Topic:

Hypothesis Tests for One Population Mean

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Question 95

Views: 5,989

Lesson Exam Telescoping gauges are specially designed to measure

the depth of a slot or a hole
crankshaft and camshaft end play
the outside diameter of a piston
the inside diameter of a bore and other clearances

Topic:

Descriptive Measures

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Question 96

Views: 5,258

Find the surface area and the volume of the cement block What is the surface area of the cement block? in the figure shown. Clear all Check answer

Topic:

The Nature of Statistics

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Question 97

Views: 5,883

d

the surface area of the figure on the right. he surface area of the figure is (Simplify your answer.)

Topic:

The Nature of Statistics

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Question 98

Views: 5,300

P (A_{1}) = .60, P (A_{2}) = .40, P (B_{1} ∣ A_{1}) = .05

P (B_{1} ∣ A_{2}) = .10

. Use Bayes' theorem to determine

P (A_{1} ∣ B_{1})

P (A_{1}) = 20, P (A_{2}) = 440, P (A_{3}) = .40, P (B_{1} ∣ A_{1}) = .25, P (B_{1} ∣ A_{2}) = .05

P (B_{1} ∣ A_{3}) = .10

. Use Bayes' theorem to determine

P (A_{3} ∣ B_{1})

Topic:

Probability Concepts

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Question 99

Views: 5,782

1) Consider two bags, A and B, with the following contents (Please use your ID letter and refer to the Data Sheet for your marble quantities) A single marble is drawn from each bag. a) What is the probability of drawing a Red marble out of Bag A and a white marble out of Bag B? b) What is the probability of getting a green marble out of Bag A or a white marble out of Bag B? c) What is the probability of getting two marbles of the same color?

Topic:

Probability Concepts

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Question 100

Views: 5,998

A single marble is drawn from each bag. a) What is the probability of drawing a Red marble out of Bag A and a white marble out of Bag B?

\frac{4}{3} \cdot \frac{2}{11} \frac{8}{143} = 0.056

b) What is the probability of getting a green marble out of Bag A or a white marble out of Bag B? c) What is the probability of getting two marbles of the same color?

Topic:

Probability Concepts

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