From previous experience, the owner of a Apple orchard knows that the mean weight of a gala Apple is 140 grams. This year there has been more precipitation than usual and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. What is the appropriate inference procedure?

Answer:

  65.8

Step-by-step explanation:

The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.

__

The relation is ...

  a/sin(A) = b/sin(B)

Solving for 'a' gives ...

  a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)

  a ≈ 65.8

(20/400)×100

5%

hope it helps...!!!

Answer:5%

Step-by-step explanation:

40 is 10% so then you half that which is 20=5%

Answer: 64 m^3

Step-by-step explanation:

V=1/3*a^2*h

V = 1/3*64*3

V=64 m^3

Answer:

64 m³

Step-by-step explanation:

Formula

[tex]\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}[/tex]

Answer:

C, ∠DEO ≅ ∠FEO

Step-by-step explanation:

The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.

This means the angle is divided into 2 equal angles.

⇒ ∠DEO ≅ ∠FEO

Answer:

a=3/5 , b=4/5. ,.

c=5/5

c=5/5

=1

Answer:

x - 2y > 8 or x - 2y ≤ -6

Step-by-step explanation:

I used desmos

I hope this helps!!!

Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.

Here we have the function:

[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]

Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.

Is not the case of the square root, where the argument must only be positive.

With that in mind, we conclude that the domain is the set of all real numbers.

If you want to learn more about domains:

https://brainly.com/question/1770447

#SPJ4

Answer: C

Step-by-step explanation:

Edge 2023

The equation that we need to solve is:

$157 + $50*m = $50 + $60*m

And the solution is m = 10.7 months.

For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:

f(m) = $157 + $50*m

And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:

g(x) = $50 + $60*m

They will have the same amount of money when:

f(x) = g(x)

$157 + $50*m = $50 + $60*m

$107 = $10*m

$107/$10 = m = 10.7

So, after 10.7 months, both accounts will have the same money.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ4

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ1

From the figure, we immediately have

cos(θ) = 8/17

sin(θ) = 15/17

By definition of tangent,

tan(2θ) = sin(2θ)/cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

Then

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)

tan(2θ) = -240/161

Answer:

0.52cm2

Step-by-step explanation:

l of Arc =tita/360×2πr

15/360×2×22/7×2

Step-by-step explanation:

The correct answer here is 51

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

 Which one of these numbers is a composite number: 17, 51, 97, or 89?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Composite numbers are divisible by 3 or more numbers.

17 is divisible by 1 and 17 only, so it's not composite.

51 is divisible by 1, 51, 3, and 17, so it's composite.

97 and 89 are divisible by two numbers only, so they are not composite.

So we conclude that the answer is

51

[tex]\rule{300}{1}[/tex]

Answer:

2.5 lbs of apples for $3.25

Step-by-step explanation:

16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.

The true statement about the right rectangular prisms include:

It should be noted that a prism simply means a shape that has two identical shapes that face each other.

Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.

Learn more about prism on:

brainly.com/question/23963432

#SPJ4

The statements that can be used to compare the characteristics of the functions are:

From the table of values (see attachment), we have the following highlights:

The above highlights mean that, the true statements are b and d

Read more about functions at:

https://brainly.com/question/17019835

#SPJ4

Answer:Its B,D

Step-by-step explanation: Yes

The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,

μ - 2σ = 29

μ + 3σ = 49

By subtracting the first equation from the second, then we will get,

μ + 3σ - μ + 2σ = 49-29

5σ = 20

σ = 4

Now, substitute the value of σ in the equation,

μ - 2σ = 29

μ - 2(4) = 29

μ = 29 + 8

μ = 37

Hence, the mean of this test is 37.

Learn more about Normal Distribution:

https://brainly.com/question/15103234

#SPJ1

Answer:

Step-by-step explanation:

The area of a square is 49 cm2. What is the perimeter, in cm, of the square?

first we use the inverse formula to find the side (√49 = 7), then multiply the side by 4 (7 x 4 = 28)

or you can use an expression

4 * √49 = 28

The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here is the formula for the probability of an exclusive event:-

[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]

[tex]13=14+P(B)-18[/tex]

[tex]P(B)=17[/tex]

hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

Answer:

0.2584

Step-by-step explanation:

First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.

Answer:

5 seconds and 488 ft

Step-by-step explanation:

(a)

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 ), then

the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = - 16x² + 160x + 88 ← is in standard form

with a = - 16 and b = 160 then

[tex]x_{vertex}[/tex] = - [tex]\frac{160}{-32}[/tex] = 5

the maximum height is at the vertex, the turning point on the graph

then it takes 5 second to reach its maximum height

(b)

to find the maximum height substitute x = 5 into the equation

y = - 16(5)² + 160(5) + 88

  = - 16(25) + 800 + 88

 = - 400 + 888

 = 488

maximum height is 488 ft

If they are parallel it would be 105

If its right please give brainliest

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: ft / sec[/tex]

Now we have to calculate the descent in 3.5 minutes ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: \times 3.5 \times 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2172.41 \: \: ft[/tex]

So, the airplane descends 2172.41 feels in three and a half minutes ~

The angle that will be formed by the cable based on the information given will be 15°.

From the complete information, it's important to divide the total angle by 12. This will be:

= 360°/12 = 30°

Then, the relations that will be used will be:

= 1/2(60° - 30°)

= 1/2 × 30°

= 15°

Learn more about angles on:

https://brainly.com/question/25716982

#SPJ1

=========================================================

Explanation:

Let x = 0.370370370...

The "370" block repeats forever, due to the horizontal bar up top.

Multiply both sides by 1000 so that the decimal point moves three spots to the right.

x = 0.370370370...

1000x = 1000*0.370370370...

1000x = 370.370370370...

Then notice both x and 1000x involve the *exact* same decimal string of "370" repeating forever. This perfect match lets us cancel the decimal portions out when we subtract, and allows us to isolate x to get some fraction of integers.

1000x - x = 370.370370370... - 0.370370370...

999x = 370

x = 370/999

You can use your calculator to confirm that 370/999 = 0.370370370...

----------------

In fact, you can use your calculator to determine the following:

A) 37/100 = 0.37

B) 370/999 = 0.370370370...

C) 37/99 = 0.373737...

D) 37/9 = 4.1111111....

This allows us to see fairly quickly that choice B is the final answer and that we can rule out the others.

----------------

Side note: your calculator may round the last digit by mistake.

The number of adults =16 and the number of kids =4

Answer:

The answer is A.

Step-by-step explanation:

I took the test

Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 142, \sigma = 32[/tex].

Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:

X = 174:

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

[tex]Z = \frac{174 - 142}{32}[/tex]

Z = 1

Z = 1 has a p-value of 0.841.

X = 78:

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

[tex]Z = \frac{78 - 142}{32}[/tex]

Z = -2

Z = -2 has a p-value of 0.023.

0.841 - 0.023 = 0.818 = 81.8%.

81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1