Find the area of the figure

Answer:

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8 and standard deviation 0.3.

This means that [tex]\mu = 8, \sigma = 0.3[/tex]

Sample of 4:

This means that [tex]n = 4, s = \frac{0.3}{\sqrt{4}} = 0.15[/tex]

What is the probability that the mean pH measurement of these four specimens is greater than 8.2?

This is 1 subtracted by the pvalue of Z when X = 8.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.2 - 8}{0.15}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

9514 1404 393

Answer:

  (8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

__

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

__

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

__

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

  y = 0.50x -3

  y = 0.25x -1

  0.50x -3 = 0.25x -1 . . . . . substitute for y

  0.25x = 2 . . . . . . . . . . . add 3-0.25x

  x = 8 . . . . . . . . . . multiply by 4

  y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

  (hats, profit) = (8, 1)

Answer:

the answer is 30

Step-by-step explanation:

1: (6*4)+(2*9/3)

2: (6*4)+(2*3)

3: 24+6

4: 30

Answer:

30

Start by multiplying then dividing

Answer:

1.375 lbs

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

9514 1404 393

Answer:

  168 mm²

Step-by-step explanation:

The area of a triangle is half the product of the base and height. The height is measured perpendicular to the base.

  A = 1/2bh

  A = 1/2(14 mm)(12 mm)

  A = 84 mm²

The area of the triangle is 84 square millimeters.

Answer:

84 whoop lololol

Step-by-step explanation:

84 mm power 2

Answer:

[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]

Step-by-step explanation:

Use coordinates (2,1) and 3,10

The exponential equation is

[tex]y = a \times b {}^{x} [/tex]

Plug in the x and y values.xfor both functions of coordinates.

[tex]1 = a \times b {}^{2} [/tex]

[tex]10 = a \times b {}^{3} [/tex]

Divide the equation with the larger exponet by the other equation.

[tex]10 = b[/tex]

Substitute that in for one of the equations.

[tex]10 = a \times 10 {}^{3} [/tex]

Solve for a.

[tex]10 = a \times 1000[/tex]

[tex] \frac{1}{100} = a[/tex]

So our exponetial equation is

[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]

do you even put attention in class or the teacher not showing shi but alright the answer is x=0

Answer:

Its -1.9 for where point D is

Answer:

formula 3 only

Step-by-step explanation:

formula for the are of a circle is [tex]A=\pi r^{2}[/tex]

the other 2 formulas are the ones for circumference

Answer:

10,000

Step-by-step explanation:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣an o⁣⁣⁣nly u⁣⁣⁣pload i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting s⁣⁣⁣ervice. l⁣⁣⁣ink b⁣⁣⁣elow!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

a

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.

Answer:

(3 , 8)

Step-by-step explanation:

Answer:

(3,8)

Step-by-step explanation:

the pattern of an ordered pair is (x,y). If x=3, and y=8, then you would get (3,8).

Step-by-step explanation:

Volume = 42.39

Answer:

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Step-by-step explanation:

To solve this question, we need to understand the Central Limit Theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances:

Of the 193 smokers taking a placebo, 29 stopped smoking by the 8th day.

This means that:

[tex]p_S = \frac{29}{193} = 0.1503[/tex]

[tex]s_S = \sqrt{\frac{0.1503*0.8497}{193}} = 0.0257[/tex]

Of the 266 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day.

This means that:

[tex]p_A = \frac{82}{266} = 0.3083[/tex]

[tex]s_A = \sqrt{\frac{0.3083*0.6917}{266}} = 0.0283[/tex]

Calculate the estimated standard error for the sampling distribution of differences in sample proportions.

[tex]s = \sqrt{s_S^2 + s_A^2} = \sqrt{0.0257^2 + 0.0283^2} = 0.0382[/tex]

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Answer:

10

Step-by-step explanation:

Answer:

51 ft²

Step-by-step explanation:

The figure is composed of two different triangles (triangle 1 and 2) and a rectangle

Area of the composite figure = area of triangle 1 + area of triangle 2 + area of rectangle

✔️Area of triangle 1 = ½*bh

b = 3 ft

h = 2 ft

Area of triangle 1 = ½*3*2 = 3 ft²

✔️Area of triangle 2 = ½bh

b = 3 ft

h = 3 ft

Area of triangle 2 = ½*3*3 = 4.5 ft²

✔️Area of rectangle = L*W

L = 3 + 8 = 11 ft

W = 4 ft

Area of rectangle = 11*4 = 44 ft²

✅Area of the composite figure = 3 + 4 + 44

= 51 ft²

Step-by-step explanation:

are you sure that math cauz that looks difficult or maybe its the fact that I'm in the 4th grade

Answer:

five and three ninths

six and seven tenths

nine and one fifth

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

Answer:

A)  6x + 2πx

Step-by-step explanation:

left side of figure = 4x

top and bottom flat portion of figure = 2x

2 semi-circles with radius of x is equal to 1 full circle with diameter = 2xπ

distance around = 4x + 2x + 2xπ or 6x + 2πx

hi

price  all taxes included is :  9.99 + 0.03*9.99  ≈ 10.29

So change is :  11 - 10.29 = 0.71

Answer:

acualy you would divide 9.99 by 3

Answer:

17 / 8 cups of flour

Please consider marking brainliest.

Answer:

157

Step-by-step explanation:

just trust me bro