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3 years ago

14

I have like 20 minutes please help

=0" alt="x^{2}-7x+10=0" align="absmiddle" class="latex-formula">

1 answer:

Mandarinka [93]3 years ago

3 0

Answer: Hmm Ok i do this-

Step-by-step explanation:

Wait are we trying to find x?

Ok so for the first one x = 5 and for the second one x = 2

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for the data values below construct a 95 confidence interval if the sample mean is known to be 12898 and the standard deviation

Volgvan

Answer:

A 95% confidence interval for the population mean is [3315.13, 22480.87] .

Step-by-step explanation:

We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.

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 proportion of defective items = 12,898

s = sample standard deviation = 7,719

n = sample size = 5

$\mu$ = population mean

<em> Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation. </em>

<u>So, 95% confidence interval for the population mean, </u> $\mu$ <u> is ; </u>

P(-2.776 < $t_4$ < 2.776) = 0.95 {As the critical value of t at 4 degrees of

freedom are -2.776 & 2.776 with P = 2.5%}

P(-2.776 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.776) = 0.95

P( $-2.776 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

<u>95% confidence interval for</u> $\mu$ = [ $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $12,898-2.776 \times {\frac{7,719}{\sqrt{5} } }$ , $12,898+2.776 \times {\frac{7,719}{\sqrt{5} } }$ ]

= [3315.13, 22480.87]

Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .

5 0

4 years ago

Elanor's newborn baby weighs 3400g. Convert the weight to pounds. Round to the nearest tenth of a pound.

PilotLPTM [1.2K]

Answer:

7.5 lbs

Step-by-step explanation:

1 g = 0.00220462262185 lb

3400 g * .00220462262185 lbs/1 g = 7.495717 lbs

Rounding to the nearest tenth

7.5 lbs

3 0

3 years ago

The main office staff collected 55 cans, the counseling staff collected 89 cans, and the custodial staff collected 67 cans.

Elena L [17]

What are you trying to ask here?

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3 years ago

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Brent claims that more students at his school prefer hot dogs over hamburgers. His friend Shaun doesn’t agree. To settle their a

photoshop1234 [79]

Answer:

Using conditional probabilities it can be shown that the results are influenced by the gender.

Explanation:

To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.

If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.

The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.

The probability of preferring hot dogs by the whole sample is:

Number of males that prefer hot dogs: 184 (stated by the problem)
Number of females that prefer hot dogs:

100% - 34.2% = 65.8%

65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418

Samples size: 542 males + 635 females = 1177

Probability of preferring hot dogs =

number of students that preffer hot dogs / number of students =

(184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%

Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.

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4 years ago

A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples? per pound At this rate, how many pounds of app

swat32

$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound.

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4 years ago

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