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2 years ago

Please help me with this problem

Mathematics

1 answer:

JulsSmile [24]2 years ago

5 0

Answer:

37°

Step-by-step explanation:

since <1 +<6=180° (sum of co interior angles)

143°+<6= 180°

<6=180°-143°

<6= 37°

m<6=m<7 (vertically opposite angles)

Hence m<6=37°

m<7=37°

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Solv the following inequality. p – 4 < -11

bogdanovich [222]

Answer:

p < -7

Step-by-step explanation:

.................

6 0

3 years ago

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

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.

So, 95% confidence interval for the population mean, $\mu$ is ;

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

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

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

= [3315.13, 22480.87]

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

5 0

4 years ago

Andy is bying a car he negotiated a 7% decrease on a £ 6 500 car he will pay a full balance over 12 equal month payments calcula

Scrat [10]

I don’t know the answer, but when you get it can you tell me I have a similar problem on my test

8 0

3 years ago

Find the volume of the given rectangular prism.

VLD [36.1K]

Your answer would be 29

6 0

3 years ago

In order to fence a garden, the rowan family needs 64 feet of lumber. The garden at the correas house will need to be 100% large

aliina [53]

Answer:

128 feet of lumber

Step-by-step explanation:

In order to fence a garden, the rowan family needs 64 feet of lumber. The garden at the correas house will need to be 100% larger. How man feet of lumber will the correas need?

Step 1

We calculate how many feet larger

Hence:

64 × 100%

= 64 feet

Step 2

How many feet of lumber will the correas need:

= 64 feet + 64 feet

= 128 feet

3 0

3 years ago