Find 3 ratios that are equivalent to the given ratio 12:16

Answer:

12 in³

Step-by-step explanation:

1/3 area of the base * height

Answer:

c

Step-by-step explanation:

i took the test

Answer: C

Step-by-step explanation:

Only one that makes sense and I just took that test

If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.

1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.

1 cubic meter = 1000 liters

because, 1 liter = 1 decimeter³

1 meter = 10 decimeters

1 decimeter= 0.1 meters

1 liter = 0.1³ meter³

1 m³ = 1000 liters

Given:

In 1 hour the amount of water filled = 500 cubic meters

In half an hour the amount of water filled = 250 cubic meters

= 250,000 liters.

Therefore, 250,000 liters of water exists filled in the pool in half an hour.

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Answer:

Step-by-step explanation:

                              Y

p(x,y)            0          1            2

           0      0.10     0.04     0.02

x          1       0.08     0.2     0.06

            2       0.0      0.14     0.30

a) What is P(X = 1 and = 1)

From the table above we have

P(1,1) = 0.2

b)  Compute P(X ≤ 1 and Y ≤ 1).

\(=p(0,0)+p(0,1)+p(1,0)+p(1,1)\\\\=0.1+0.04+0.08+0.2\\\\=0.42\)

C)

Let A ={X ≠ 0 and Y ≠ 0}

p{X ≠ 0 , Y ≠ 0}

= p(1,1) + p(1,2) + p(2,1) + p(2,2)

= 0.20 + 0.06 + 0.14 + 0.30

=0.7

d) The possible X values are in the figure 0,1,2

\(p_x(0)=p(0,0)+p(0,1)+p(0,2)\\\\=0.1+0.04+0.02\\\\=0.16\\\\p_x(1)=p(1,0)+p(1,1)+p(1,2)\\\\=0.08+0.2+0.06\\\\=0.34\\\\p_x(2)=p(2,0)+p(2,1)+p(2,2)\\\\=0.06+0.14+0.3\\\\=0.5\)

The possible Y values are in the figure 0,1,2

\(p_y(0)=p(0,0)+p(1,0)+p(2,0)\\\\=0.1+0.08+0.06\\\\=0.24\\\\p_y(1)=p(0,1)+p(1,1)+p(2,1)\\\\=0.04+0.2+0.14\\\\=0.38\\\\p_y(2)=p(0,2)+p(1,2)+p(2,2)\\\\=0.02+0.06+0.3\\\\=0.38\)

So the probability of x ≤ 1 is

\(p(x\leq 1)=p_x(0)+p_x(1)\\\\=0.34+0.16\\\\=0.50\)

e) From the table

\(p_x(x=1,y=1)=p(1,1)\\\\=0.2\\\\p_x(1)=0.34\\\\p_y(1)=0.38\)

we multiply both together

0.34  x 0.38

=0.1292

Therefore p(1,1) is not equal px(1), py(1)

Hence x and y are not independent it is not equal

In the standard algorithm

Reminder = 2

quotient  = 13

What does quotient in mathematics mean?

The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.

                                When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.

= 93÷7​

Reminder = 2

quotient  = 13

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Answer:

a) Population of adults who watch local news

b) Population of adults who use cell phones or tablets.

c) They conducted a sample survey

d) I will find the results interesting.

I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Step-by-step explanation:

a) This finding is applicable to the population of adults who watch local news.

This is because the sample will be collected from the population of adults who watch local news to see the percentage that actually get those local news from their cell phones or tablet computers.

b) This finding is applicable to the population of adults who use cell phones or tablets.

The sample will be collected from the population of adults who use cell phones or tablets. A survey can now be carried out to find out what they use their phones or tablets for, whether to search for restaurants or get weather reports.

c) The Pew Researchers conducted a sample survey because a census data cannot contain the information about weather reports, local restaurants or news channel. Precise information can only be gotten from a sample survey.

d) Yes, I will. Having an idea of how large the population of those that search for local restaurants on phones and tablets will enable me to channel my publicity towards this media. I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Answer:

hello :)

It would be A). C). and E).

The confidence interval for the proportion of millennials that care about Jobs/Economy is (0.22, 0.28).

The term confidence interval refers statistical measure used to indicate the range of estimates within which an unknown statistical parameter is likely to fall.

Here we have given that Jobs/Economy 25%, Immigration 17%, Healthcare 16%, Education 16%, Environment 12%.

And we need to find the confidence interval for the proportion of millennials that care about Jobs/Economy.

As per the formula of confidence interval,

CI = x ± Z× s/√n

CI = 25 ± 1.9600 × 0.03/ √50

CI = 25 ± 0.00832

When we simplify this one then we get the confidence interval for the proportion of millennials that care about Jobs/Economy as

=> (0.22, 0.28)

Therefore, option (3) is correct.

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Answer:

Step-by-step explanation:

Equation for this case is:

⇒ y = 6(x - 1) + 10     as Rs. 10 for the first km and Rs. 6 for the rest (x - 1) km

⇒ y = 6x - 6 + 10      simplifying

⇒ y = 6x + 4             final equation

For x = 15 km we have total of:

Answer:

The midpoint is (2.5,4.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(4+1)/2 = 5/2 = 2.5

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(6+3)/2 = 9/2 = 4.5

The midpoint is (2.5,4.5)

Answer:

(5/2,9/2)

Step-by-step explanation:

Answer:

-4 + 8 = 4

-2 + 6 = 4

-1 + 5 = 4

So the three pairs are -4 and 8; -2 and 6; and -1 and 5.

Let

x -----> the regular price

Remember that

62%=62/100=0.62

The linear equation that represents this problem

0.62x=217

solve for x

x=217/0.62

x=$350

Using a piece-wise function, the constraints are:

\(65x, x < 7\)

\(375 + 55x, x \geq 7\)

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

A piece-wise function is a function that has multiple definitions, depending on the value of the input.

In this problem:

Less than 7 days the rental price is $65 per day.

Thus, one constraint is:

\(65x, x < 7\)

Once a tenant stays  seven or more days, the price is $375 plus $55 per day past seven.

Thus, the other constraint is:

\(375 + 55x, x \geq 7\)

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Answer: a and d

Step-by-step explanation:

its easy. U can just solve the problem

Equation: y = 3x

y = 3

Step-by-step explanation:

y ∝ x

y = Kx

9 = 3K

K = 9/3 = 3 Substitute y and x value to find K

y = 3x

Equation: y = 3x

x = 1

y = 3(1)

y = 3

Hope this helps!

The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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the lines are parallel.......

Answer: x = 9

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−3)+2x=3(x+5)

Step 1: Simplify both sides of the equation.

4(x−3)+2x=3(x+5)

(4)(x)+(4)(−3)+2x=(3)(x)+(3)(5)(Distribute)

4x+−12+2x=3x+15

(4x+2x)+(−12)=3x+15(Combine Like Terms)

6x+−12=3x+15

6x−12=3x+15

Step 2: Subtract 3x from both sides.

6x−12−3x=3x+15−3x

3x−12=15

Step 3: Add 12 to both sides.

3x−12+12=15+12

3x=27

Step 4: Divide both sides by 3.

3x

3

=

27

3

x=9

Answer:x=9

copy and paste this and it will be correct.

Answer:

X=9

Step-by-step explanation:

Open the brackets

4x - 12 + 2x = 3x + 15

Collect like terms

4x+2x-3x= 15+12

3x=27

Divide both sides by the coefficient of x which is 3

3x/3 = 27/3

x= 9

Answer:d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The height of the building is approximately 57.13 feet.

We can use trigonometry to solve this problem. Let's call the height of the building "h".

We know that the angle of elevation to the top of the building is 55°, which means that the angle formed by the horizontal line and the line of sight to the top of the building is also 55°.

We can draw a right triangle with the height of the building as one leg, the distance from the building as the other leg, and the line of sight to the top of the building as the hypotenuse.

Using the tangent function, we can write:

tan(55°) = h / 40

To solve for h, we can multiply both sides by 40:

h = 40 x tan(55°)

Using a calculator, we can find that:

h ≈ 57.13 feet

Therefore, the height of the building is approximately 57.13 feet.

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Answer:

-2

Step-by-step explanation:

12=2+7d

7d= -12-2

7d= -14

d= -14

-----

7

d= -2

\(\huge\text{Hey there!}\)

\(\large\textsf{-12 = 2 + 5d + 2d}\)

\(\large\text{FLIP the EQUATION}\)

\(\large\textsf{2 + 5d + 2d = -12}\)

\(\large\text{COMBINE the LIKE TERMS}\)

\(\large\textsf{\underline{(5d + 2d)} + \bf{(2)}}\large\textsf{ = (-12)}\)

\(\large\textsf{5d + 2d = \underline{7d}}\)

\(\large\textsf{2 = \bf 2}\)

\(\large\textsf{-12 = -12}\)

\(\rightarrow\large\text{New equation: }\large\textsf{7d + 2 = -12}\)

\(\large\textsf{7d + 2 = -12}\)

\(\large\text{SUBTRACT by 2 to BOTH SIDES}\)

\(\large\textsf{7d + 2 - 2 = -12 - 2}\)

\(\large\text{CANCEL out: \textsf{2 - 2} because that gives you \textsf{0}}\)

\(\large\text{Keep: \textsf{-12 - 2}}\large\text{ because it helps you solve for d}}\)

\(\large\textsf{-12 - 2 = -14}\)

\(\rightarrow\large\text{New equation: \text{\underline{7d} = -14}}\)

\(\large\textsf{7d = -14}\)

\(\large\text{DIVIDE 7 to BOTH SIDES}\)

\(\mathsf{\dfrac{7d}{7}=\dfrac{-14}{7}}\)

\(\large\text{Cancel out: }\mathsf{\dfrac{7}{7}}\large\text{ because it gives you 1}\)

\(\large\text{Keep: }\mathsf{\dfrac{-14}{7}}\large\text{ because it helps you solve for d}\)

\(\mathsf{\dfrac{-14}{2}=-14\div 7\rightarrow \bf d}\)

\(\large\text{Solve above and you will have your d {(aka your answer)}}\uparrow\)

\(\mathsf{\dfrac{-14}{7}=\bf -2}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf d = -2}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

Answer:

1/2 = 0.5 = 50%

Step-by-step explanation:

Given:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

\(\implies \sf P(yellow) = \dfrac{4}{8}=\dfrac12\)

This can also be written as 0.5 or 50%

Probability of yellow:-

P(Y):-

Simple interest typically favors consumers who pay their bills or loans on time or early each month because it is frequently calculated on a daily basis. The loan's simple interest rate is 4.5%.

Simple interest typically favors consumers who pay their bills or loans on time or early each month because it is frequently calculated on a daily basis.

In the aforementioned student loan example, if you paid a $300 payment on May 1st, $238.36 would be applied to the principle. On April 20, if you made the same payment, $258.91 would be applied to the principal. Your main balance will decrease more quickly and the loan will be paid off faster than anticipated if you can make an early payment every month.

On the other hand, if you pay the loan back late, you pay more in interest than if you pay it on time. If your payment is due on May 1 and you make it on May 16 (using the same car loan example), you will be charged interest for 45 days at a cost of $92.46. Consequently, only $207.54 of your $300 payment is applied to the principal. If you frequently make late payments over the course of a loan, your final payment will be more than anticipated because the principal did not decrease at the anticipated rate.

Principal amount,

P=$5000

Future value,

A=$5900

Time,

t=4years

Let us determine the loan's simple interest rate:

A=P(1+rt)

5900=5000(1+r*4)

5900=5000(1+4r)

5900=5000*1+5000*4r

5900=5000+20000r

5900−5000=20000r

900=20000r

20000r=900

r=900/20000

r=9/200

r=0.045

r=0.045/100%

r=4.5%

Therefore, the loan's simple interest rate is 4.5%.

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Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

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The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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