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4 years ago

8

A six sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on an even number and the

coin is heads?

1 answer:

patriot [66]4 years ago

4 0

Answer:

For the die it is 3/6 - 3/6 simplified is 1/2

For the coin it is 1/2

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An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u> $\mu$ <u> is; </u>

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

<u>98% confidence interval for</u> $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0

3 years ago

Cindy has $60 in her bank account while Eric has $400 in his bank account. Cindy deposits

Reika [66]

Answer:

i think its c

Step-by-step explanation:

6 0

3 years ago

On May 1, you sign a $1000 note with simple interest of 8.5% and a maturity date of December 19. You make partial

Lelu [443]

Answer:

The amount to be repaid is $379.26.

Step-by-step explanation:

Period of note from May 1 to December 19 = 233 days

Amount of note or principal = $1,000

Simple interest rate = 8.5%

Maturity date = December 19

Repayments:

June 2 = $475

Nov. 4 = $200

Total paid $675

Simple interest = $54.26 ($1,000 * 8.5% * 233/365)

Total amount to be repaid = $1,054.26

Total amount repaid = 675.00

Balance to be paid on maturity $379.26

8 0

3 years ago

Help for just 50 points!

liraira [26]

Answer:

It may be 9

Step-by-step explanation:

Solution:

Here,

Median = n+1/2th term

=5+1/2 th term

=6/2 th term

=3rd term

Now,

Arranging the data in ascending order...

6,8,9,10,12

Since, 9 is the third term. So, 9 is the median.....

8 0

2 years ago

What is an equivalent expression for 3/4 (6+2x)

Alex73 [517]

Answer:

9/2 +3/2x

Step-by-step explanation:

3/4 (6+2x)

Distribute

3/4*6 + 3/4*2x

18/4 +6/4x

9/2 +3/2x

4 0

3 years ago

Read 2 more answers