1.
How many degrees does the hour hand of
a clock turn in 5 minutes?
(A)1/2
(B)3 1/2
(C) 5°
(D)2 1/2

Answer: 36

Step-by-step explanation:

This is a geometric progression. The formula for a geometric progression is given as:

= ar^n-1

where

a = first term = 16

r = common ratio = 24/16 = 1.5

n = 3

Therefore, the 3rd term will be:

= ar^n-1

= 16 × 1.5^3-1

= 16 × 1.5²

= 36

Therefore, the third term of the progression is 36.

Answer: 9x - 2 >= 19.

Step-by-step explanation:

The sentence can be translated into the inequality 9x - 2 >= 19.

Here is a step-by-step breakdown:

"Two subtracted from the product of 9 and a number" can be written as 9x - 2.

"Is greater than or equal to 19" can be written as >= 19.

Putting these two pieces together, we get the inequality: 9x - 2 >= 19.

The amount of syrup she needs is 3/4 cups of syrup. Option A

A fraction can be described as the part of a whole variable, element or number.

The several types of fractions are;

Also, proportion can be defined as a mathematical comparison between two numbers

From the information given, we have that;

6 cups of soap = 1 /4 cup of syrup

Then 18 cups of soap = x cups of syrup

cross multiply, we get;

6x = 18(1/4)

multiply the values

6x = 18/ 4

Divide both sides by the coefficient of x , we get;

x = 18/ 4 × 1/6

x = 3/ 4 cup of syrup

Hence, the value is 3/4

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Answer:

It would be in this order:

Types of Quads:

Rectangle

Square

Rhombus

Trapezoid

Type of Triangles:

Equaliteral

Isoceles

Scalene

Step-by-step explanation:

Hope it helps

Answer:

[see below]

Step-by-step explanation:

The domain are all the x-values of the relation or function, while the range are all the y-values of the relation.

The x-values of the relation are -6 and 7.

The y-values of the relation are -1, 2, and 9.

Therefore:

Domain: {-6, 7}

Range: {-1, 2, 9}

Hope this helps you.

Answer:

Hello There!!

Step-by-step explanation:

6n=6×n

6×7=42

hope this helps,have a great day!!

~Pinky~

Answer:

the answer is the third equation

hope it helps

Answer:

Last option is the correct answer

[tex] (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]

Step-by-step explanation:

[tex] \sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0 \\ \sqrt[3]{2x - 6} = - \sqrt[3]{2x + 6}\\ cubing \: both \: sides\\ (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]

Answer:

2

Step-by-step explanation:

Mark me the brainliest please

The weight of the bag is 1.5 standard deviations down the mean weight.

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

Mean weight (μ) = 4.10 ounces

Standard deviation (σ) = 0.10

Target weight (x) = 3.95

We know,

Z = ( x - μ ) / σ

   = (3.95 - 4.10) / 0.10

   = -1.5

Hence, we can conclude, the target weight is 1.5 standard deviations down.

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Answer:

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

24 inches are 2 feet

3/4 x 32 = 24

24 inches = 2 feet

Answer:

[tex]x^{4}[/tex] + 8x³ + 12x² - 16x + 4

Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= [tex]x^{4}[/tex] + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= [tex]x^{4}[/tex] + 8x³ + 12x² - 16x + 4

Answer:

a)

The margin of error is of 0.33 years.

b)

The margin of error is of 0.67 years.

c)

INCREASES

Step-by-step explanation:

In this question, we have that:

Sample of 109 means that [tex]n = 109[/tex]

The standard deviation of time with the company for all general managers is 2.7 years, which means that [tex]\sigma = 2.7[/tex]

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1= 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

So

[tex]M = 1.28\frac{2.7}{\sqrt{109}} = 0.33[/tex]

The margin of error is of 0.33 years.

Question b:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005= 0.995[/tex], so Z = 2.575. So

[tex]M = 2.575\frac{2.7}{\sqrt{109}} = 0.67[/tex]

The margin of error is of 0.67 years.

(c) In general, increasing the confidence level the margin of error (width) of the confidence interval.

We have that:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

That is, M and z are direct proportional, and since z increases when the confidence level increases, the marign of error will increase. So the answer is INCREASES.

Answer:

$30.60

Step-by-step explanation:

Please write that as 70%.

The total is the original price plus 70% of that price, or

                             100% plus 70%, or

                                  170%

Change 170% to 1.70 and multiply the original price by that:

Total price including markup:  1.70($18) = $30.60

Answer:

  $202.30

Step-by-step explanation:

You want to know the value of a 20% tip on a bill of $1011.50.

The tip amount can be found by multiplying the bill amount by the tip percentage:

  20% · $1011.50 = $202.30

Lucas tipped the server $202.30.

__

Additional comment

You know that 10% of the amount can be found by moving the decimal point one place: $101.15.

20% of the amount will be double this value: $202.30. You can do this math mentally.

Answer:

fixed order

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’d be C

Answer:

There are two. <CEB and <AED. You could put either one.

Step-by-step explanation:

There are two. <CEB and <AED. You could put either one.

Answer:

Slope: -1/2

Step-by-step explanation:

You can find the slope from this equation by adding 1/2 to each side of the equation since the way you find the slope of a line is by using: y = mx + b. The "m" must ALWAYS be on the right for it to be a valid slope equation, therefore, we have to use inverse operations for -1/2x to bring it to the right side.

Now, after we added 1/2x to each side, we get this equation:

-y = 1/2x + 3/4

We are not yet done since the y is accompanied by a negative 1, so, to isolate the variable, you use inverse operations once again and you get this equation:

y = -1/2x - 3/4

Therefore, the slope for this equation is -1/2.

Hope this helped! :D

9514 1404 393

Answer:

  y = -1/12x² +2

Step-by-step explanation:

For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...

  [tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]

Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...

  [tex]\boxed{y=-\dfrac{1}{12}x^2+2}[/tex]

Answer:

No the conditions for this test are not met, as 20% of the data has expected value less than 5. And 37.5% data is equal to 5.

Step-by-step explanation:

The conditions for the chi square test independence are

1) the sample is a random sample

2) the variable under study is categorical

3) all expected value of the number of sample observations are greater or equal to 5.

A)The observations must be independent

B) for 2 categories the expected values must be at least 5

C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5

The observations given have equal chances of occurrences or are dependent on each other.

The sample collected has 20 % of data having expected values less than 5.

And 37.5% data is equal to 5.

We cannot use a chi-square test to determine whether these two distributions differ significantly because the expected value for some cells is less than 5.

For the considered case, the sample is not large enough.

Although the sample was taken randomly and values are categorical, expected values are sometimes less than 5 for some cells of the contingency table.

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Answer:

y < -5

Step-by-step explanation:

The catch for this problem is remembering that when you divide by a negative number, your > or < will switch, so in this case, our > sign will become a < sign, otherwise its not too complicated!

-2y > 10

y < -5

Answer:

10

Step-by-step explanation:

in total there are 10/4 mixture so if one pancake is 1/4 10 pancakes can be made

Answer:

238.9

Step-by-step explanation:

check the above attachment to verify the answer.

Answer:

In the form of y=mx+b:

y = -5/6x-5

Step-by-step explanation:

I'm not that good at explaining, but I'll try:

Slope intercept is y=mx+b, M is the slope of the line which is rise over run, the rise is -5 (distance traveled along y-axis) and the run is 6 (distance traveled along x-axis) found from two points: (-6, 0) and (0, -5). Using this data -5/6 can be plugged in for M, and b is the y variable at (0, _) in this case the y variable is -5. The final answer after plugging everything in is y=-5/6x-5, I hope this wasn't too confusing.

Step-by-step explanation:

I think D

Answer:1696.46

Step-by-step explanation:

V = π r 2 h

Answer:

A

Step-by-step explanation:

The greater the range the greater the variability of the numbers

Answer: A

Box plot A because it has a greater median.

Step-by-step explanation:

Hope this help!