16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17

Answer:

Alveoli forms the respiratory surface in human body.Each alveolus is sac like structure bounded by a single layer of epithelial cells.It is bound on the outside by a network of capillaries. The pulmonary artery from the heart containing deoxygenated blood enters the lungs and then becomes oxygenated after passing in the capillaries through the lungs.

Answer:

Step-by-step explanation

Answer:

  220 kW

Step-by-step explanation:

You want the power used by a single lathe when a mill uses 4 times as much, and a mill plus 3 lathes uses 1540 kW.

Let p represent the power used by a single lathe. Then a mill uses 4p, and the given total is ...

  (4p) +3p = 1540

  7p = 1540 . . . . . . collect terms

  p = 220 . . . . . . . divide by 7

A single lathe uses 220 kW.

Answer:

Step-by-step explanation:

To find cost per pound, divide cost by pounds.

  3.99/(3 lb) = 1.33/lb . . . . cost per pound

The cost of 5 pounds will be found by multiplying that by 5:

  (1.33/lb)(5 lb) = 6.65 . . . cost of 5 pounds

Answer:

Infinite

Step-by-step explanation:

No matter what number you plug into x, since it is multiplied by the same coefficient on both sides, the two sides will still be equal. Therefore, there are infinite solutions. Hope this helps!

Answer:

This equation has infinite solutions.

Step-by-step explanation:

The equation parts are literally the same.

-8x=-8x

If x=2

-16=-16

If x=1,000

-8,000=-8,000

and so on...

Answer:

45 minutes?

Step-by-step explanation:

the formula for the equation of the line is ,

y-y1 = m (x-x1 )

2)

for point .( -5,-6), and slope m = 2

put x1 = -5 and y1 = -6

the equation of the line is,

y - (-6) = 2 (x -(-5) )

y +6 = 2(x + 5)

thus, the answer is point slope equation is y + 6 = 2(x + 5)

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3)

for point .( -7,2), and slope m = 3

put x1 = -7 and y1 = 2 and m = 3

the equation of the line is,

y - 2 = 3 (x -(-7) )

y - 2 = 3(x + 7)

thus, the answer is point slope equation is y - 2 = 3(x + 7)

0.064 the three-sigma control limits to assess whether the capping process is in statistical control.

Total number of leaked tubes = 72

Total number of tubes = 144*20 = 2880

Pbar = 72/2880 = 0.025

Number of tubes in each box (n) = 144

We need to calculate Lower and Upper control limits for P-chart which can be calculated as

LCLp = Pbar - 3*√Pbar * (1 - Pbar)/n  = 0.025

UCLp = Pbar + 3* √Pbar * (1 - Pbar)/n  = 0.025

- 3* √0.025 * (1 - 0.025)/144  = 0.025 - 0.039 = -0.014 or 0

+ 3* (1 - 0.025)/144  = 0.025 + 0.039 = 0.064.

Statistical Control is a quality control method that uses statistical techniques to monitor and control processes.

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The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer: not enough to answer

Answer:

The trees.

Step-by-step explanation:

IXL huh? just get it wrong, it doesn't matter. Also read the question more carefully. He's using white for the bushes, so it is going to be lighter

Answer:

27

Step-by-step explanation:

s = 5

t = - 1

s² - 2st

= 5² - 2 ( 1 ) ( - 1 )

= 25 - ( - 2 )

= 25 + 2

= 27

Therefore, the solutions to the equation x² + 3x = 3 are x = -3/2 + √(21)/2 and x = -3/2 - √(21)/2.

An equation is a mathematical statement that shows the equality of two expressions. It usually consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To complete the square for the expression x² + 3x, we need to add and subtract (3/2)² = 9/4 inside the parentheses, as follows:

x² + 3x = x² + 3x + 9/4 - 9/4

= (x + 3/2)² - 9/4

Now the left-hand side can be written as:

(x + 3/2)² - 9/4 = 3

Adding 9/4 to both sides, we get:

(x + 3/2)² = 3 + 9/4

= 21/4

Taking the square root of both sides, we get:

x + 3/2 = ±√(21)/2

Subtracting 3/2 from both sides, we get the two solutions:

x = -3/2 ± √(21)/2

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Answer:

the equation is

y = 0.75x

And,  the constant of proportionality is 0.75

Step-by-step explanation:

The computation is shown below:

Given that

4y = 3x

And,

12y = 9x

Here the equation that represent proportional relationship is

4y = 3x

Divide both sides by 4

y = 3x ÷ 4

Now

12y = 9x

divides both sides by 12

y = 9 ÷ 12x

y = 3 ÷ 4x

y = 0.75x

so the equation is

y = 0.75x

And,  the constant of proportionality is 0.75

The right response is, "5 hexagons are made up of 15 pattern block trapezoids."

Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.  

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Answer: 1 tablespoon

Step-by-step explanation:

Answer:

Thank you ☺️

According to the given question ,the values 8, 6, and 4 in the replacement set make the inequality 6+x>9 true.

1. Substitute the first value, 8, into the inequality: 6+8>9. This simplifies to 14>9, which is true.
2. Substitute the second value, 6, into the inequality: 6+6>9. This simplifies to 12>9, which is true.
3. Substitute the third value, 4, into the inequality: 6+4>9. This simplifies to 10>9, which is true.
4. Substitute the fourth value, 2, into the inequality: 6+2>9. This simplifies to 8>9, which is false.

Therefore, the values 8, 6, and 4 in the replacement set make the inequality 6+x>9 true.

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The values 8, 6, and 4 in the replacement set make the inequality 6+x>9 true, while the value 2 does not.

To determine which values in the replacement set make the inequality 6+x>9 true, we need to substitute each value from the replacement set into the inequality and check if the resulting inequality is true.

Let's go through each value in the replacement set:

1. When we substitute 8 into the inequality, we get 6+8>9. Simplifying this, we have 14>9, which is true.

2. Substituting 6 into the inequality gives us 6+6>9. Simplifying further, we have 12>9, which is also true.

3. When we substitute 4 into the inequality, we get 6+4>9. Simplifying this, we have 10>9, which is true as well.

4. Finally, substituting 2 into the inequality gives us 6+2>9. Simplifying, we have 8>9, which is false.

Therefore, the values 8, 6, and 4 from the replacement set make the inequality 6+x>9 true. The value 2 does not satisfy the inequality.

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Answer:

Option B I.e -1/2

Step-by-step explanation:

Option B I.e -1/2

Answer: (-4,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² + 16x + 9 = - 3

x² + 16x + 12 = 0

D = 16² - 4(1)(12) = 208

√D = 4√13

\(x_{1}\) = ( - 16 - 4√13 ) ÷ 2 = - 8 - 2√13 ≈ - 15.21

\(x_{2}\) = ( - 16 + 4√13 ) ÷ 2 = 2√13 - 8 ≈ - 0.79

The width and height of the model are;

Width of model = 13.5 inches

Height of model = 2.25 inches

A scale model is defined as a physical model that is geometrically similar to an object. Scale models are usually smaller than large prototypes such as vehicles, buildings, or people. However, these scale models may be larger than small prototypes such as anatomical structures or subatomic particles.

Now, we are given that the dimensions of the new medical complex are;

Length = 400 ft

Width = 180 ft

Height = 40 ft

Thus, for a scale model with length of 30 in(2.5 ft) long, the scale factor is; Scale factor = 2.5/400

Thus;

Width of model = 180 * (2.5/400)

= 1.125 ft = 13.5 inches

Height = 30 * (2.5/400)

= 0.1875 ft = 2.25 inches

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Answer:Total Commission

$12

Commission for Each Agent

$6.00

Total Amount Seller Receives

$188

Step-by-step explanation:

Answer:

Yes it is congruent

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

I did the test

Hope this helps :)

It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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When testing the difference between the means of two normally distributed populations using independent random samples with equal variances, the correct test statistic to use is the two-sample t-test.

The two-sample t-test compares the means of two independent samples to determine if there is a significant difference between them. It takes into account the sample means, sample sizes, and sample variances to calculate a t-value. The assumption of equal variances is important in this context.

The formula for the two-sample t-test depends on the specific context, such as whether the samples have equal or unequal variances. The appropriate formula can be selected accordingly. However, when the variances of the populations are assumed to be equal and the sample sizes are relatively large (as per the general guidelines), the pooled two-sample t-test is commonly used.

In summary, the correct test statistic to use for testing the difference between the means of two normally distributed populations using independent random samples with equal variances is the two-sample t-test.

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Step-by-step explanation:

Rewrite 9x2 as (3x)2

.

(3x)2+24x+16

Rewrite 16

as 42

.

(3x)2+24x+42

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

24x=2⋅(3x)⋅4

Rewrite the polynomial.

(3x)2+2⋅(3x)⋅4+42

Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2

, where a=3x and b=4

.

(3x+4)2

Answer:

Mohan lent 3600 to Ram and 3000 to Shyam.

Step-by-step explanation:

Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.

Let Mohan lent x to Ram and y to Shyam

x+y=6600

Or, x=6600-y ...(i)

As Ram  pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:

\(I=x\times 0.15 \times 2 \\\\\Rightarrow I=0.3x \\\\\)

\(\Rightarrow I=0.3(6600-y) \\\\\) [by using (i)]

\(\Rightarrow I=1980-0.3y \cdots(ii)\)

As Shyam  pays compound interest at 15 %=0.15 p.a,

so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount

\(C.I. = y(1+0.15)^2-y \\\\\Rightarrow C.I. = y(1.15^2-1) \\\\\Rightarrow C.I. = y(1.3225-1) \\\\\Rightarrow C.I. = 0.3225y \cdots(iii)\)

As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),

\((1980-0.3y)-0.3225y=112.5 \\\\\Rightarrow 1980-0.3y-0.3225y=112.5 \\\\\Rightarrow 0.6225y=1980-112.5 \\\\\Rightarrow  y = 1867.5/0.6225=3000\)

From equations (i),

\(x=6600-3000=3600\)

Hence, Mohan lent 3600 to Ram and 3000 to Shyam.

Answer: Cathy is making a cake. She needs 2/3 cups of flour. She also plans on making the cake 1.5 times the given amount. How many cups of flour will she need?

Step-by-step explanation:

to solve this problem you'll need to multiply the two numbers :)

Answer; X=14

Step-by-step explanation:

14 - 6 = 8 and 8+4 =12

CYA BESTIE!