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3 years ago

I need to know this answer I've worked it out but not sure

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

See attached picture

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Alona [7]

Answer:

The lower limit is 75.04

The upper limit is 78.96

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The sample mean is $\= x = 77$

The standard deviation is $\sigma = 5$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

The critical value for $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96* \frac{5 }{\sqrt{25} }$

=> $E = 1.96$

The 95% confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

=> $77 - 1.96 < \mu < 77 + 1.96$

=> $75.04 < \mu < 78.96$

7 0

3 years ago

Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost

RUDIKE [14]

The values of both x and y can be any real number.

5 0

3 years ago

Read 2 more answers

Suppose two linear equations have the same slope. Is it true that the point (3, 4) is the only point that satisfies both equatio

IrinaVladis [17]

No but it is true that the two equations are parallel.

8 0

3 years ago

PLEASE HELP ILL GIVE BRAINLIEST

DanielleElmas [232]

Option A:

$(x-5)^{2}+(y-3)^{2}=16$

Solution:

Given data:

Center of the circle is (5, 3).

Radius of the circle = 4

To find the equation of the circle:

The general form of the equation of a circle in centre-radius format is

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where (h, k) is the centre of the circle and r is the radius of the circle.

Substitute the given values in the equation of a circle formula:

$(x-5)^{2}+(y-3)^{2}=4^{2}$

$(x-5)^{2}+(y-3)^{2}=16$

The equation of the given circle is $(x-5)^{2}+(y-3)^{2}=16$ .

Hence Option A is the correct answer.

5 0

3 years ago

Find 250% of 60 please help thanks

____ [38]

Answer:

the answer is 150!

Step-by-step explanation:

250% of 60=150

4 0

3 years ago