What is the area of the figure?

Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).

Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.

where:

M = sample mean

Z = Z statistic determined by confidence level

sM = standard error = √(s2/n)

As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)

9514 1404 393

Answer:

  13

Step-by-step explanation:

The shortest side must satisfy the relation ...

  s > 6 -4

The smallest integer s is s=3, so the shortest perimeter is ...

  3 + 4 + 6 = 13 . . . units

__

This is 1 unit more than double the longest side.

Answer:

180°, ∠4, ∠5

Step-by-step explanation:

∠1+∠2+∠3 = 180° because, as seen, their sum makes a straight angle. (on the transversal E)

∠2 is equal to ∠4 because of the Alternate Interior Angles theorem

∠1 is equal to ∠5 because of the Corresponding Angles theorem

Answer:

LCD light conducting diode

Answer:

The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of  Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

                                 P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

                          [tex]p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52[/tex]

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

               [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

               [tex]Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }[/tex]

              Z =  -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

Answer:

Value of x =  15.1 unit (Approx.)

Step-by-step explanation:

Given:

For angle 54°

Base of triangle = 11 unit

Perpendicular of triangle = x unit

Find:

Value of x

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

Tan 54 = Perpendicular of triangle / Base of triangle

Tan 54 = x / 11

1.376 = x / 11

Value of x = 1.376 × 11

Value of x = 15.136

Value of x =  15.1 unit (Approx.)

Answer:

The answer is $22.75! (A)

Step-by-step explanation:

All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.

22.75 + 13.75 = 36.50

Answer:

8

Step-by-step explanation:

2 : 4

8 : 16

Answer:

C. 16 inch 3

Step-by-step explanation:

Step-by-step explanation:

Math is hard.....

and I don't like it anymore

Question

If Johnathon has work 16 hours a day from 8am to 12pm, and he has to drive from point a to b, which the distance is 3600 miles. His car can drive for 700 miles on a full tank of gas, which 1 gallon is 28 miles. What is the amount of stops and gallons of gas to get to point a and b?

Step-by-step explanation:

Answer: open all the bottles count the pills or ask in each bottle the 1 ounce will have 1 less then all of the 1.1 ounce

Step-by-step explanation:

Answer:

150 beats

Step-by-step explanation:

15 times = 3 secs

y = 30

(cross multiply)

3y /3= 450/3

y= 150

Answer:

(x + c) (x - c)

Step-by-step explanation:

For any number the polynomial [tex] x ^ 2 - c ^ 2[/tex] can be factored as (x + c) (x - c)

Answer:

We don't even know the answer....

Step-by-step explanation:

Please tell us the answer.

Answer:

Where is tbe question. i need the question

Step-by-step explanation:

E

Answer:

x= 1.2  or  6/5

Step-by-step explanation:

Answer:

6/5 or 1.2 or 1 1/5

Step-by-step explanation:

but 6/5 is the exact answer

Answer:

cc

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120

every other number is in the 70s

Answer:4/10 40%

Step-by-step explanation:

Answer:

Your answer would be 4/10 OR 40%.

Step-by-step explanation:

Answer:

sin

Step-by-step explanation:

take 34 degree as reference angle

usinf sin rule

sin 34=opposite/hypotenuse

0.55=16/x

x=16/0.55

x=29.09

x=29.1

Answer:

0.825

Step-by-step explanation:

To convert to lowest form, you have to shift the decimal place 2 places to the left.

let

(hypotenuse ) c = 10 in

(perpendicular) a = 8 in

(base) b =?

By using Pythagoras theorem

c^2= a^2+b^2

(10)^2 = (8)^2 +(b)^2

100 = 64 +(b)^2

100- 64 = (b)^2

36 = (b)^2

√36 = b

6 = b

hence b= 6 in

Answer:

∠4, ∠3, and ∠5

In the shown figure, angles ∠3, ∠4, and ∠5 are exterior angles.

The exterior angle is outside of the polygon. It is additional to the polygon's inner angle at the same vertex. The sum of an exterior angle and its internal angle is always 180 degrees.

To identify the exterior angles in a figure, determine the angles that are on the outside side of two parallel lines but on two sides of the transversal.

In the illustration, if a transversal connects two parallel lines, the angles generated outside the parallel lines are referred to as external angles.

As per the question,

In the shown figure, angles ∠3, ∠4, and ∠5 are exterior angles.

Hence, the correct answers are options A, C, and E.

Learn more about the exterior angle here:

https://brainly.com/question/11379452

#SPJ7

Answer:

www.numerade.com/questions/the-average-monthly-cell-phone-bill-was-reported-to-be-5007-by-the-us-wireless-industry-random-sampl/

Step-by-step explanation:

We'll first need to determine what the composite function f(g(x)) is equal to.

Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2

So we get the following:

[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]

Next, we apply the derivative

[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]

Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.

The last thing we do is plug in x = 3 and simplify.

[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]

Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.

Answer:

See picture

Step-by-step explanation:

Answer:

5^2x ÷ 5^-3 = 5⁵(5×5×5×5×5)

5^2x ÷ 1/5³(5×5×5) = 3125

5^2x ÷ 1/125 = 3125

5^2 × 4 = 3125

125

5⁸(5×5×5×5×5×5×5×5) = 3125

125

390625 = 3125

125

so the value X is = 4