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3 years ago

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2. Tess picked 12 flowers on Monday morning In the afternoon she picked some more flowers. If Tess picked 27 flowers in all, how

many did she pick in the afternoon?

1 answer:

sammy [17]3 years ago

5 0

27 in total
12 in the morning
27-12 = 15
She picked 15 in the afternoon

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In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fo

dsp73

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

a

The probability that Philippines will win the game is $P(A) = 0.6055$

b

The probability that Philippines will lose the game is $P(B) = 0.00365$

c

The probability that the game will be sent to overtime is $P(C) = 0.06$

Step-by-step explanation:

From the question we are told that

The probability of Paul Dalistan making a shot is p = 0.846

The probability of Paul Dalistan not making the shot is $q = 1- p = 1- 0.846=0.154$

Paul Dalistan team was down by two points

This mean that for Paul Dalistan's team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

$P(A) = p^3$

=> $P(A) = 0.846^3$

=> $P(A) = 0.6055$

Gnerally for Paul Dalistan's team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is

$P(B) = q^3$

=> $P(B) = (0.154 )^3$

=> $P(B) = 0.00365$

Generally for the game to be sent to overtime then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

Hence the probability that game will go to overtime is

$P(C) = 3 * 0.846 * 0.154 * 0.154$

$P(C) = 0.06$

6 0

3 years ago

The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centime

Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

X: height of a college student. (cm)

There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.

The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:

X[bar]~~N(μ;σ2/n)

Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

98% CI

1 - α: 0.98

⇒α: 0.02

α/2: 0.01

$Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99} =2.334$

X[bar] ± $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

174.5 ± $2.334* \frac{6.9}{\sqrt{50} }$

[172.22; 176.78]

With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].

I hope it helps!

4 0

3 years ago

Can any one help with me this one please

goblinko [34]

Answer:

∠ e = 40°

Step-by-step explanation:

Since Δ ABC and Δ EDC are congruent then corresponding angles are congruent, that is

∠ A = ∠ E = 40°

8 0

3 years ago

How do you construct a 112.5 degree angle? (step by step) Please help =)

KATRIN_1 [288]

First you take a protractor and a pencil
next, you draw a horizontal line (red)
then find the value of the angle, and draw a line with the matched value (green)
please look at the image

5 0

3 years ago

Write each set of fractions in order from least to greatest. 2/3, 15/18, 1/6

SIZIF [17.4K]

Answer:

1/6, 2/3, 15/18

Step-by-step explanation:

get a common denominator

2/3 times 6

15/18 times 1

1/6 times 3

new fractions : 12/18, 15/18, 3/18

so it would be 3/18, 12/18, 15/18

then just revert it back to the original fraction and you have your answer

5 0

2 years ago