What did you include in your response? Check all that apply. A ratio of 1:2 means 1 part to 2 parts, for 3 parts total. The ratio 1:2 means 3 equal parts. The fraction 1/2 means the segment would be divided into 2 equal parts.

9514 1404 393

Answer:

  b. Victoria's method is linear because the number of minutes increased by an equal number every month

Step-by-step explanation:

Zach's reading doubled each month, a characteristic of an exponential function.

Victoria's reading increased by 15 minutes each month, characteristic of a linear function.

The only reasonable description among those offered is the one shown above: choice B.

Answer:

hello! :)

-167

Answer: 167

Step-by-step explanation:

First get X by itself.

substract 27 to each side

194=27-x

194= 27 -27 -x

194 - 27 = X

X= 167

Answer:

Step-by-step explanation:

To find the approximate value of y when

x = 13 and z = 195 we must first find the relationship between them

The statement

y varies jointly with x and z is written as

where k is the constant of proportionality

From the question

y = 2

x = 11

z = 110

We have

2 = 11(110)k

2 = 1210k

Divide both sides by 1210

\(k = \frac{1}{605} \)

So the formula for the variation is

\(y = \frac{1}{605} xz\)

When

x = 13

z = 195

y is

\(y = \frac{1}{605} (13)(195)\)

\(y = \frac{507}{121} \)

y = 4.1900

We have the final answer as

Hope this helps you

Answer:

The word "of" in mathematical terms means multiplication. The word "is" means equal. This would be translated into 50% x 25% x X = or 0.50 x 0.25 x X =. 0.50 times 0.25 = 0.125. Putting 0.125 into a fraction, it would be 125/1000. Simplify this fraction to get 1/8. So, the answer would be A.

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

exact form

5/2

decimal form

2.5

mixed number form

2 1/2

The amount of cash generated is 78.75 Million.

Price-sales ratio, often known as the P/S ratio or PSR, is a stock valuation indicator. It is computed by dividing the market capitalization of the company by its most recent fiscal year's revenue, or, equivalently, by dividing the share price of the stock by its revenue per share.

The sales ratio will be calculated as below:-

Sales= $450  Million

Fixed Assets= $225  Million

% of capacity utilized. . 65%

Sales at full capacity = actual sales/%of capacity used = 692.31 millions dollars .

Target FA = Full capacity FA/sales = FA/Capacity sales = 32.50%

(225*65% = 146.25, 146.25/450 = 32.50%)

Optimal FA = sales * targeted FA/Sales Ratio = 450*32.50% = 146.25

Cash Generated = Actual FA-optimal FA = 225-146.25 = 78.75 millions dollars

Therefore, the amount of cash generated is 78.75 Million.

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The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

The given expressions {4x^3+2x^2+6x+7}/{2x+1} and 2x^2+3+(4/{2x+1}) are equal at x = 10, they are not equal at x = -1/2, and they are equal for all x other than -1/2.

Substitute x = 10 in the given expressions, we get

{4x^3+2x^2+6x+7}/{2x+1}

= (4000+200+60+7)/21

=203.19

2x^2+3+(4/{2x+1}.)

200+3+4/21

=203.19

Hence, the given expressions are equal when x = 10

Now substitute x = -1/2 in the given expressions

={4x^3+2x^2+6x+7}/{2x+1}

=(4*-1/8+2*1/4+6*-1/2+7)/0

2x^2+3+(4/{2x+1}.)

=2*1/4+3+4/0

When we substitute the value x= -1/2 then it divide by 0 and value will be infinite and hence we can say that the values are not equal at x = -1/2

2x^2+3+(4/{2x+1}.) take LCM

{4x^3+2x^2+6x+7}/{2x+1} here both expression are equal and  we can't able find the value at x = -1/2 but for other value of x they are equal.

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Answer:

y = mx + b

Step-by-step explanation:

Answer:

\(x=-\frac{15}{382}\)

Step-by-step explanation:

32 × 12x + 1 = 2x - 14

384x + 1 = 2x - 14

384x + 1 - 1 = 2x - 14 - 1

384x = 2x - 15

384x - 2x = 2x - 2x - 15

382x = - 15

382x ÷ 382 = - 15 ÷ 382

\(x=-\frac{15}{382}\)

Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

Answer:

ok

Step-by-step explanation:

sure

Answer:

1 Shirt and 185cm remaining cloth

Step-by-step explanation:

2m and 15cm = 215cm

40m = 400cm

400/215=1.860465116

A shirt cant be in decimal so we remove the decimals, and take the as the answer. For the decimals, they are the remaining cloth.. to calculate the amount of remaining cloth we do:

1.860465116-1

=860465116

215*860465116=185cm

Answer:

7 hours and 9 minutes

Step-by-step explanation:

4 hours and 33 minutes is 273 minutes

7 m/s —> 273 minutes

11 m/s —> M

Criss cross to get M

11x273= 7M

3003=7M

M=429 minutes

==> 429 minutes is 7 hours and 9 minutes

Answer:

the answer is 28.7

Step-by-step explanation:

move the decimal point to the right by one

Answer:

x = 3

Step-by-step explanation:

According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.

The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.

For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.

Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.

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The approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

Total of 22 is more than 4500 is equivalent to average of 22 is more than \($\frac{4500}{22}\)=204.545

\($$\begin{aligned}P(\bar{x} > 204.545) & =1-P(\bar{x} < 204.545) \\& =1-P\left(\frac{\bar{x}-\mu}{\sigma / \sqrt{u}} < \frac{204.545-195}{35 / \sqrt{22}}\right) \\& =1-P(z < 1.2792) \\\end{aligned}$$\)

                        = 1 - 0.8997

                        = 0.1003

                        = 10.03%

Therefore, the approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

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Probabilities are used to determine the chance of an event.

The game is based on compound probability.

From the question, we have the following events.

When multiple events are involved in a probability, then such probability is a compound probability.

Hence, the game is based on compound probability.

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It's 8/25.

The reason its 8/25 is because u gotta add or subtract.

Given:

The initial rent is $1990.

The increased percentage is 29.5%.

So, the new rent will be,

Hence, the increased rent is $2566.05.

Therefore, the correct option is, c.

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)

Hence, Required probability =0.655

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Answer:

Well if Liliana loses 18 points and Marcus get the correct one and gains 18 points

Step-by-step explanation:

So basically it's going to be negative because its saying what is the opposite of Liliana's core but in reverse order

Answer:

(a) \(f(n)= 900n -100\)

(b) \(f(1) = 800\); \(f(n) = f(n-1) +900\)   for \(n \ge 2\)

Step-by-step explanation:

Given

\(f(1) = 800\) --- first month

\(d = 900\) --- difference in distance covered each month

Required

Find f(n)

To do this, we have:

\(a_n = a_1 +d(n -1)\)

Where

\(a_1 = f(1) = 800\)

This gives:

\(a_n = 800 +900(n -1)\)

\(a_n = 800 + 900n - 900\)

Collect like terms

\(a_n= 900n +800-900\)

\(a_n= 900n -100\)

So, we have:

\(f(n)= 900n -100\)

As a recursion, we have:

\(f(1) = 800\)

For every other month i.e. \(n \ge 2\)

We have:

 \(f(n) = f(n-1) +900\)  for \(n \ge 2\)

Which means 900 miles plus distance covered in previous month

Answer:

Step-by-step explanation:

15x = 3·5·x

30y = 2·3·5y

The common factors are 3 and 5.

Greatest common factor = 3·5 = 15

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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