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stepladder [879]
3 years ago
11

There is a stack of 8 cards, each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replac

e it, and then randomly select another card. What is the probability that the first card is an even number and the second card is greater than 6?
Write your answer as a fraction in simplest form.
Mathematics
1 answer:
Serhud [2]3 years ago
6 0
Four of the cards have an even number, so the probability of drawing an even is \dfrac48=\dfrac12.

Only two cards have a number greater than 6 (7 and 8), so the probability of drawing one of them is \dfrac28=\dfrac14.

The probability of both events happening is

\dfrac12\times\dfrac14=\dfrac18
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Solve the sum of two numbers is 23. one number is one less than twice the other. find the two numbers
morpeh [17]
Let the two numbers be x and y.

Given,

x + y = 23

x = 23 - y

Also given,

y = 2x - 1

y= 2(23 -y) -1

y = 46 - 2y - 1

3y = 45

y = 15

x = 23 - y = 23 - 15 = 8

Hence, the two numbers are 15 and 8.
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4 years ago
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In a science fair​ project, Emily conducted an experiment in which she tested professional touch therapists to see if they could
saul85 [17]

Answer:

a 0.5

b 0.4831

c 0.4354 < P < 0.53008

Step-by-step explanation:

Given that :

Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5

Sample size (n) = 296

Selected sample (X) = 143

a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?

The  proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5

b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?

Point estimate (p') = \frac{X}{n}

= (p') = \frac{143}{296}

= 0.4831

c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.

The Z_c for 90% is 1.645

Using the formula P" -E < P < P" + E

where E = margin of error :  Z_c * \sqrt{\frac{P(1-P)}{n} }

=1.645 * \sqrt{\frac{0.4831(0.5169)}{296} }

=1.645 * \sqrt{\frac{0.2497}{296} }

=1.645*0.029

= 0.0477

∴ P" -E < P < P" + E

= 0.4831 - 0.0477 < P < 0.4831 + 0.0477

= 0.4354 < P < 0.53008

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4 years ago
What is the inverse of the function fx = 2x-10
Margarita [4]
The inverse function is
f exponent -1 then (x)=10 over 2-x
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3 years ago
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Ne4ueva [31]
Maybe 40 grams , it really depends on the scissors
4 0
4 years ago
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Study the example on the right to help you complete the problem below. please help!:(
Inga [223]

Answer : The equation for 'h' is h=\frac{2A}{b}

Step-by-step explanation :

The given equation is:

A=\frac{1}{2}bh

Now we have to determine the equation for 'h'.

A=\frac{1}{2}bh

Multiplying the equation by 2.

2\times A=2\times \frac{1}{2}\times bh

on simplifying, we get:

2\times A=bh

Dividing the equation by 'b'.

\frac{2\times A}{b}=\frac{bh}{b}

\frac{2\times A}{b}=h

or,

h=\frac{2A}{b}

Therefore, the equation for 'h' is h=\frac{2A}{b}

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