Olivia is cutting a 1 \dfrac12 \text{ m}1 2 1 ​ m1, start fraction, 1, divided by, 2, end fraction, start text, space, m, end text by \dfrac34\text{ m} 4 3 ​ mstart fraction, 3, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal. Find the area of each of the pieces.

Answer:

47 meters

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

Given

As we know, the formula to find the area of a parallelogram is:

A = the base* the height

=> the base in this question is:

= The area / the height

= 2150 / 25 = 86 meters

As we can see in the photo, x + 39 meters = the base

=> x =  the base  - 39 meters

= 86 meters - 39 meters  

= 47 meters

Answer:

Step-by-step explanation:

Solution:-

- The sample size = n

- The Error of estimation, E = 0.04

- The confidence level, CI = 99%

a)

What size sample should be obtained when she uses previous estimate of p = 0.52​?

- We are given the sample proportion p = 0.52, the required sample size is a function of confidence value and error of estimation (E):

                 [tex]n = p*( 1 - p ) * (\frac{Z-critical}{E})^2[/tex]

Where,

- The critical value of the confidence level = 99% would be:

           significance level ( α ) = 1 - CI = 1 - 0.99 = 0.01

           Z-critical = Z_α/2 = Z_0.005 = 2.575  

- The required sample size (n) can be calculated:

            [tex]n = 0.52*( 1 - 0.52 ) * (\frac{2.575}{0.04})^2\\\\n = 0.2304*(51.5)^2 = 611.0784[/tex]

- Hence, the minimum required sample size (n) should be = 612 adults.  

b)

- If the preliminary estimate of proportion is missing or not given, we are to assume the proportion p = 0.5.

- Similarly, repeat the calculations for sample size (n) when p = 0.5

               [tex]n = 0.5*( 1 - 0.5 ) * (\frac{2.575}{0.04})^2\\\\n = 0.25*(51.5)^2 = 663.0625[/tex]

- Hence, the minimum required sample size (n) should be = 664 adults.  

Answer:

the particle is at point B at t = 3 s

Step-by-step explanation:

Solution:-

- The coordinates of the path that a particle follows through points A to B to C.

- The coordinates of the particle position ( x , y ) are differentiable function of t, where, the rate of change of x-coordinate is given by:

                        [tex]x ' (t) = -9*cos (\frac{\pi *t}{6})*sin (\frac{\pi \sqrt{t + 1} }{2})[/tex]

- The slope of the curve at point B, in mathematical terms that is called the inflection point.

- The independent variable time (t) can be determined for the particle when it is at point B. Where the x'(t) is set to zero, and the critical value defines the point B.

                        [tex]x ' (t) = -9*cos (\frac{\pi *t}{6})*sin (\frac{\pi \sqrt{t + 1} }{2}) = 0\\\\cos (\frac{\pi *t}{6}) = 0 , sin (\frac{\pi \sqrt{t + 1} }{2}) = 0\\\\\frac{\pi *t}{6} = \frac{\pi }{2} , \frac{\pi \sqrt{t + 1} }{2} = \pi \\\\t = 3 , t = 3[/tex]

- Hence, the particle is at point B at t = 3 s.

Answer:

-7/5

Step-by-step explanation:

The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line. so just switch the numbers and put the top number into a negative.

The slope of a line is a measure of its steepness. -7/5 is the slope of the line that is perpendicular to the line of slope 5/7.

The slope of a line is a measure of its steepness

Two lines are perpendicular if and only if the product of their

slopes is -1.

The slope of a line is 5 /7, then  slope of the line perpendicular to it.

m1*m2=-1

m1 slope of first line

m2 slope of second line

Here m1=5/7

m2=?/

m1*m2=-1

5/7*m2=-1

m2=-7/5

Therefore slope of second line is -7/5 for line perpendicular to slope of a line 5/7.

To learn more on slope click here:

https://brainly.com/question/14914699

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Answer:

75.

Step-by-step explanation:

The HCF is the highest common factor of two numbers - if these numbers are both divisible by 75 - this is their HCF.

Answer:

1/12

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

Say that the percent increase was x%. So, we can write this problem as:

70 + x% * 70 = 82.60

Remember that % means "out of 100", so x% is actually the same as x/100. We can then replace x% with x/100:

70 + (x/100) * 70 = 82.60

Both terms on the left side have 70, so we can factor that common number out:

70 * (1 + (x/100)) = 82.60

Divide both sides by 70:

1 + x/100 = 82.60/70 = 1.18

Subtract 1 from both sides:

x/100 = 0.18

Multiply by 100:

x = 18

Thus, the percent increase is 18%.

Hope this helps!

Answer:

18%

Step-by-step explanation:

Increase: 12.6

12.60/70 = 0.18

Your answer: 15.26%

Answer:

20.8%

Step-by-step explanation:

To find the final probability, two separate events must be done and the final propagation is the multiplication of these, like this:

First event:

Probability of black socks on Monday:

Total pair of socks: 1 + 3 + 5 = 9

Number of black socks on Monday: 3

Thus:

3/9 = 1/3

Second event:

Probability of white socks on Tuesday:

Total pair of socks: 8

Number of white socks on Tuesday: 5

Thus:

5/8

Final probability:

1/3 * 5/8 = 5/24

P = 0.208

So the probability would be 20.8%

The probability of black socks on Monday = 1/3

The probability of white socks on Tuesday = 5/8

To find the final probability, two separate events must be done and the final propagation is the multiplication of these, like this:

First event:

Probability of black socks on Monday:

Total pair of socks: 1 + 3 + 5 = 9

Number of black socks on Monday: 3

Thus:

Probability will be: 3/9 = 1/3

Second event:

Probability of white socks on Tuesday:

Total pair of socks: 8

Number of white socks on Tuesday: 5

Thus:

Probability will be: 5/8

Final probability:

1/3 * 5/8 = 5/24

P = 0.208

So, the probability would be 20.8%.

Find more information about Probability here:

brainly.com/question/24756209

Answer:

x=2            x=-2

Step-by-step explanation:

x² + 2x - 4 = 2x

Subtract 2x from each side

x² + 2x-2x - 4 = 2x-2x

x^2 -4 = 0

Factor

We know this is the difference of squares

(x-2)(x+2) =0

Using the zero product property

x-2 =0      x+2 =0

x=2            x=-2

Answer:

A) middle: 32

Outside: 9

B) 25

C) 47

Step-by-step explanation:

71 = 14 + 25 + intersection

Intersection = 71 - 39 = 32

Outside: 80 - 71 = 9

Only french: 25

Spanish: 14 + 32 = 46

Answer: 96 candles in 8 boxes

Step-by-step explanation:

There’s 12 candles in a box

Answer:

r = 129.1 %

Step-by-step explanation:

Using the compounding formula:

A = P (1 + r/t)^nt

$12, 543 = $7178 (1 + r/12)^12(7)

-7178

$5365 = (1 + r/12)^84

[tex]\sqrt[84]{5365}[/tex] = [tex]\sqrt[84]{(1 +\frac{r}{12})^{84}}[/tex]

1.107642572 = 1 + r/12

(0.108 = r/12) (12)

r = 1.2917 = 129.1 %

Answer:

10 organisms.

Step-by-step explanation:

625 Square feet of lawn.

You would simply divide 6250 by 625 and you would get 10.

Feel free to let me know if you need more help! :)

Answer:

40.23

Step-by-step explanation:

Area of a circular pizza is calculated by pi radius^2

or 22/7 × (16/2)^2

Radius is diameter/2 = 16/2

= 22/7 × 8^2

= 22 × 8 × 8 ÷ 7

= 201.143 ....

A circular pizza is cut into 5 slices

so the area of 1 slice of a circular pizza is

201.143 / 5 = 40.23 inches^2

The correct answer is Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.

Here's the step-by-step breakdown:

Parallelogram A B C D to A' B' C' D':

Reflection across the x-axis: This flips the parallelogram across the x-axis, resulting in A' B' C' D'.

Parallelogram A' B' C' D' to A" B" C" D":

Translation of negative 6 units x, 1 unit y: This shifts the parallelogram 6 units to the left and 1 unit upwards, resulting in A" B" C" D".

Therefore, the overall composition of transformations is Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.

Answer:

Step-by-step explanation:

x+90°+33°+165°+20°=360° (complete angle)

x+ 308°=360°

x= 360°-308°

x= 52°

Answer:

x=52

Step-by-step explanation:

So what you would want to do is add up all of the angle measurements given. This give you 308. Now you take this number (308) and subtract it from 360, to give you the answer of 52.

Answer:

Step-by-step explanation:

Ordinary interest rate = principal × rates × ( time / 360)

exact interest rate = principal × rates × ( time / 365)

for states saving and loan of rate 7.25 %

ordinary interest rate = $ 2600 × 0.0725 × ( 90 / 360) = $ 47.125

total amount due after 90 days = $ 2647.125

for Security Bank of 7.5%

exact interest = $2600 × 0.075 × ( 90 / 365) = $ 48.75

amount due after 90 days = $ 2600 + $ 48.75 = $ 2648.75

b) considering the amount to be paid at maturity it is better to borrow state savings and Loan although the difference is not really much.

To determine where Ruth Brown should borrow the money, we compared the maturity value of loans from State Savings and Loan and Security Bank. After computing the interest over 90 days, it is evident that State Savings and Loan offers a better deal with a lower maturity value than Security Bank, making it the preferable option.

To determine the maturity value of each loan offered to Ruth Brown, we will calculate the total amount due, including principal and interest, for both the State Savings and Loan and Security Bank, after 90 days. The interest is calculated using the formulas for ordinary interest (360-day year) and exact interest (365-day year).

State Savings and Loan:

Principal (P) = $2,600

Rate (r) = 7.25%

Time (t) = 90 days

Interest (I) = P * r*(t/360) = $2,600* 0.0725 * (90/360) = $45.125

Maturity value = Principal + Interest = $2,600 + $45.125 = $2,645.125

Security Bank:

Principal (P) = $2,600

Rate (r) = 7.5%

Time (t) = 90 days

Interest (I) = P * r *(t/365) = $2,600* 0.075 * (90/365) = $46.58

Maturity value = Principal + Interest = $2,600 + $46.58 = $2,646.58

Ruth should borrow the money from the institution that offers the lowest maturity value, which in this case would be the State Savings and Loan.

Answer:

It'll take 38.3 years to obtain the desired return of $25,000.

Step-by-step explanation:

In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:

(25000 + 8000) = 8000*e^(0.037*t)

33000 = 8000*e^(0.037*t)

e^(0.037*t) = 33000/8000

e^(0.037*t) = 4.125

ln[e^(0.037*t)] = ln(4.125)

t = ln(4.125)/(0.037)

t = 1.4171/0.037 = 38.2991

t = 38.3 years

Answer:

Step-by-step explanation:

8=8a-4(a+8) => 8=8a-4a-32 =>4a=40 => a=10.

If you meant 8=(8a-4)(a+8), then it is 8a^2+60a-32=8 => 8a^2+60a-40=0.

Use the quadratic formula, to get your answer.

Answer:

8,000 bees

Step-by-step explanation:

Final answer:

Mr. Smith will need approximately 8,000 bees in his bee colony to produce 3.5 pounds of honey each week, based on the rate of 1,000 bees producing 1 ounce of honey per day.

Explanation:

Mr. Smith needs to calculate the number of bees required to produce 3.5 pounds of honey each week.

First, we need to convert pounds to ounces because the rate given is in ounces:

3.5 pounds = 3.5 * 16 ounces/pound = 56 ounces of honey per week.

Now, we use the given rate of honey production:

1,000 bees produce 1 ounce of honey per day.

Therefore, in one week (7 days), 1,000 bees will produce 7 ounces of honey.

To find out how many bees you need to produce 56 ounces, you divide the target ounces by the ounces produced by

1,000 bees per week:

56 ounces / 7 ounces per 1,000 bees = 8,000 bees.

So, Mr. Smith will need approximately 8,000 bees in his colony to produce 3.5 pounds of honey each week.

Answer:

I dont know... Never tried it.

Answer:

47

Step-by-step explanation:

not that difficult

Answer:

0.02

Step-by-step explanation:

Since 60​% of the​ factory's bikes come off assembly line B, Therefore:

The probability that the​ factory's bikes come off assembly line B = 60% = 0.6

Percentage line​ B's products pass inspection  = 93% = 0.93

Percentage line​ B's products that do not pass inspection = 1 - 0.93 = 0.07

The probability that the​ factory's bikes come off assembly line A = 1 - 0.6 = 0.4

Percentage line​ A's products pass inspection  = 95% = 0.95

Percentage line​ A's products that do not pass inspection = 1 - 0.95 = 0.05

Let D represent those that passes inspection and D' represent those that do not pass inspection.

P(A ∩  D') = P(A) × P(D'/A) = 0.4 × 0.05 = 0.02

P()bikes did not pass inspection and came off assembly line A) = P(A ∩  D') =  0.02

Final answer:

The probability that a bicycle failed inspection and came from assembly line A is 2%.

Explanation:

We're tasked with finding the probability that a bike did not pass inspection and came from assembly line A. First, we calculate the probability of a bike failing inspection from each line. Since 95% of line A's products pass, there is a 5% (100%-95%) chance a bike from line A fails inspection. For line B with a 93% pass rate, there's a 7% (100%-93%) chance of failure.

Next, we consider the distribution of production between lines A and B. 60% of bikes are from line B, so 40% are from line A. We then calculate the probability of a bike being from line A and failing inspection using the multiplication rule for independent events, which is P(A) times the probability of failure on line A.

P(Fail and from A) = P(A) * P(Fail | A) = 40% * 5% = 0.40 * 0.05 = 0.02 or 2%.

Therefore, the probability that a bike did not pass inspection and came from assembly line A is 2%.

Answer:

2300

Step-by-step explanation:

Answer:

2,300

Step-by-step explanation:

When we round to the hundreds place, we make sure the numbers behind the hundreds place are zero. Then we round. Here's the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. In this case we round the 2 in the hundreds place up to three because it is followed by a five.

Answer:

17982m-18301

Step-by-step explanation:

The simplified expression is [tex]\( \frac{156}{5}m - 125 \).[/tex]

To combine like terms and simplify the expression [tex]\(2(15m - 25) + \frac{3}{5} \times 2(5m - 52) + \frac{5}{3}\),[/tex] we distribute the coefficients:

[tex]\[ 2 \times 15m - 2 \times 25 + \frac{3}{5} \times 2 \times 5m - \frac{3}{5} \times 2 \times 52 + \frac{5}{3} \][/tex]

[tex]\[ = 30m - 50 + \frac{6}{5}m - \frac{6}{5} \times 52 + \frac{5}{3} \][/tex]

[tex]\[ = 30m - 50 + \frac{6}{5}m - \frac{312}{5} + \frac{5}{3} \][/tex]

Now, let's combine like terms:

[tex]\[ = (30m + \frac{6}{5}m) + (-50 - \frac{312}{5}) + \frac{5}{3} \][/tex]

[tex]\[ = (30 + \frac{6}{5})m + (-50 - \frac{312}{5}) + \frac{5}{3} \][/tex]

[tex]\[ = \frac{156}{5}m - \frac{650}{5} + \frac{25}{15} \][/tex]

[tex]\[ = \frac{156}{5}m - \frac{650}{5} + \frac{75}{15} \][/tex]

Now, let's simplify the fractions:

[tex]\[ = \frac{156}{5}m - \frac{130}{1} + \frac{5}{1} \][/tex]

[tex]\[ = \frac{156}{5}m - 130 + 5 \][/tex]

[tex]\[ = \frac{156}{5}m - 125 \][/tex]

Therefore, the simplified expression is [tex]\( \frac{156}{5}m - 125 \).[/tex]

Answer:

-x^2(x-8)

Step-by-step explanation

Step-by-step explanation:

Cylinder volume = 703 [tex]cm^{3}[/tex], height = 18.5 cm

(i) Volume or area of the cylinder = [tex]\pi r^{2} h[/tex]

The formula for the volume of a cyclinder can be applied to find the area of the base.

Option (i) is correct

(ii) Volume or area of the cylinder = [tex]\pi r^{2} h[/tex]

The volume should be divivded by height to get the area

Option (ii) is wrong

(iv) Area of the base  = [tex]\frac{703\pi }{18}[/tex] = 38[tex]\pi cm^{2}[/tex]

Option (iv) is correct

(iii) The radius of the cyclinder is half the height.

[tex]\frac{38}{2}[/tex] = 19 cm not 18.5 cm

Option (iii) is wrong

(v)Area of the base  = [tex]\frac{703\pi }{18}[/tex] = 38[tex]\pi cm^{2}[/tex]

Option (v) is correct

Answer:

1 , 4 , & 5 ... which is also a , d, & e

Step-by-step explanation:

We have been given that bought a pound of confetti for $12. We are asked to find price per ounce of confetti.

We know that 1 pound equals 16 ounces. To find cost of per ounce confetti, we will divide total cost by 16 as:

[tex]\text{Cost of per ounce confetti}=\frac{\$12}{16}[/tex]

[tex]\text{Cost of per ounce confetti}=\frac{\$3}{4}[/tex]

[tex]\text{Cost of per ounce confetti}=\$0.75[/tex]

Therefore, the cost of per ounce confetti is $0.75

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

Answer:

72 divided by 2 2/5 (or 2.4) = 30 in a row

Answer:

the answer is 30 in a row

Step-by-step explanation:

divide 72 by 2 2/5 and you get 30 in a row of the domino's