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2 years ago

Determine the x coordinate of the center of a circle if its diameter's endpoints are located at (7,-2) and (9,5).

Mathematics

1 answer:

telo118 [61]2 years ago

6 0

Answer:

(2,8)

Step-by-step explanation:

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What is The simple interest earned on a deposit of $3000 at 6% for five years

Norma-Jean [14]

Answer: $900

Step-by-step explanation:

The simple interest is calculated using the formula:

(P × R × T)/100

where,

P = Principal = $3000

R = Rate = 6%

T = Time = 5 years

Simple Interest = (P × R × T)/100

= ($3000 × 6 × 5)/100

= 90000/100

= $900

Therefore, the simple interest is $900

4 0

3 years ago

In a random sample of 75 individuals, it was found that 52 of them prefer coffee to tea. What is the margin of error for the tru

Ugo [173]

0.106 is the answer

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3 years ago

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

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.

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

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

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

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

= [21.34, 26.49]

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

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2 years ago

PLs help 5 star rating and brainliest if anwsered correctly

True [87]

Answer:

Surface Area is 87.6cm squared

Step-by-step explanation:

5 0

2 years ago

Can anyone help me with this one

aleksandrvk [35]

50 hours!

825 (paycheck left over) + 25 (the shirt that was subtracted because he bought it) = $850 total
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2 years ago