80% is best represented by which the following fractions
A. 8/100
B.4/5
C.3/4
D.8/10

The population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.

To construct a confidence interval estimate for a population proportion [tex]\( p \),[/tex] you can use the following formula:

[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \][/tex]

where:

[tex]- \( \hat{p} \)[/tex]is the sample proportion.

[tex]- \( Z \)[/tex] is the Z-score corresponding to the desired confidence level.

[tex]- \( n \)[/tex] is the sample size.

In this case:

[tex]\( n = 840 \)[/tex]

[tex]\( \hat {p} = 0.25 \)[/tex]

The confidence level is not specified, so let's assume a common confidence level of 95%. For a 95% confidence level, the Z-score is approximately 1.96.

Substitute these values into the formula:

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(1-0.25)}{840}} \][/tex]

Now, calculate the values:

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(0.75)}{840}} \][/tex]

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.1875}{840}} \][/tex]

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \times 0.0132 \][/tex]

Now, compute the upper and lower bounds of the confidence interval:

[tex]\[ \text{Lower Bound} = 0.25 - (1.96 \times 0.0132) \][/tex]

[tex]\[ \text{Upper Bound} = 0.25 + (1.96 \times 0.0132) \][/tex]

Finally, round the values to an appropriate number of decimal places. The confidence interval for the population proportion p  is:

[tex]\[ \text{Confidence Interval} = (0.224, 0.276) \][/tex]

So, with 95% confidence, the population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.

Answer:

C. 5

Step-by-step explanation:

Find the factors of 10 and 35

Factors of 10:

1,2, 5, 10

Factors of 35:

1,5,7, 35

The greatest common factor between both is 5, so C is correct

Answer:

Step-by-step explanation:

We start by selecting our pivot column as the most negative value on the bottom row.

This means our pivot column is [tex]x_{1}[/tex]. We now generate a new column by diving our pivot value by our value on the right-most column. This gives us (on a new row)

P/V

12/1 = 12

4/2 = 2

4/1 = 4

We pick our smallest positive value to be our pivot row.

This means our pivot row is our second row, and our pivot column is our first column. We now divide our entire row by our pivot point (our intersection of these two pivots)

This gives us our new second row as

1 3 0 1/2 0 0 2

now we need to eliminate our [tex]x_1[/tex] values from our other rows.

old row 1 - new row 2 gives us new row 1

row two stays the same

old row 3 - new row 2 gives us new now 3.

old row P + 2 new row 2 gives us new row P  

After the first iteration of this algorithm this gives our tableau as: (see attached screenshot)

Answer:

8:20 am

Step-by-step explanation:

Answer:

75/2=32.5

Step-by-Step explanation

15/24 x 100

3/8 x 100

3/4 x 50

3/2 x 25

Answer: The test statistic is 1.75.

Step-by-step explanation:

Since we have given that

n = 47

First mean difference = 1

and second mean difference = 1.2

Standard deviation = 0.78

So, the value of test statistic would be

[tex]t=\dfrac{\bar{x_1}-\bar{x_2}}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{1.2-1}{\dfrac{0.78}{\sqrt{47}}}\\\\t=\dfrac{0.2}{0.114}\\\\t=1.754[/tex]

Hence, the test statistic is 1.75.

The test statistic for the sample showing the difference between reported and actual height, with a mean difference of 1.2 inches, standard deviation of 0.78, and sample size of 47, is 1.96 when rounded to two decimal places.

The test statistic for a sample where the population standard deviation is unknown and the sample size is small can be calculated using a t-test. The formula for the test statistic in a one-sample t-test is t = (\bar{X} - \mu) / (s/\sqrt{n}), where \bar{X} is the sample mean, \mu is the population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

In this case, we are testing the claim that the mean difference in reported and actual height is greater than 1 inch. The null hypothesis (H0) is that the mean difference is less than or equal to 1 inch, and the alternative hypothesis (H1) is that the mean difference is greater than 1 inch. Given a sample mean difference of 1.2, a sample standard deviation of 0.78, and a sample size of 47, the test statistic is calculated as follows:

t = (1.2 - 1) / (0.78/\sqrt{47})

After calculating and rounding to two decimal places, the test statistic is approximately 1.96

Answer:

Area of the shaded region= 80.4 cm²

Step-by-step explanation:

Area of the square = 10×10 cm² = 100cm²

Area of the circle= πr²=π(2.5)²=3.14 ×6.25cm²

= 19.625 cm ²

Area of the shaded region= 100cm²-19.625cm²

= 80.375cm²

Answer: D. He made a mistake in his calculations when substituting the ordered pair into the equation 5x -2y =6 and simplifying.

Step-by-step explanation: I got the answer correct on a test. Hope this helps!

The domain is the set of all possible input values for the function. In this case, the realistic domain for this situation would be 0 ≤ t ≤ 25, indicating the number of years from the time the motorcycle is purchased up to 25 years later.

The domain of a function in mathematics defines the set of input values for which the function is defined. In this case, the function  [tex]v(t) = 7000 \times 0.91^t[/tex]is used to calculate the value of a motorcycle, where t is the number of years after the motorcycle was bought.

As time can't be negative in this real-world scenario, the smallest value for t is 0, representing the moment the motorcycle is bought. Theoretically, t can be any positive number, although it may not be practical to consider values of t that are too large, because the value of the motorcycle will decrease significantly after several years due to depreciation.

Again, if we assume that the motorcycle will be completely worthless after 25 years, a realistic domain would be 0 ≤ t ≤ 25, that is, from the year the motorcycle is bought to 25 years afterward.

https://brainly.com/question/28599653

#SPJ12

Answer:

6.1

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Using the slope theorem:

[tex]m=\frac{y_{1}-y_{0}}{x_{1}-x_{0}}[/tex]

[tex]\frac{6-2}{1-3} = \frac{4}{-2} =-2[/tex]

The slope of a line passing through two points can be calculated using a formula. In this case, the slope of a line passing through (1, 0.1) and (7, 26.8) is found to be 4.45.

The slope of a line passing through two points (x₁, y₁) and the (x₂, y₂) can be calculated using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Plugging in the values of the points (1, 0.1) and (7, 26.8) into the formula, we get:

m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45

Therefore, the slope of the line passing through the points (1, 0.1) and (7, 26.8) is 4.45.

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5 [tex]\times[/tex] 100

                                                = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 [tex]\times[/tex] 150

                                                                                             = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5  100

                                               = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8  150

                                                                                            = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

Answer:

  a:  55°

Step-by-step explanation:

The measure of arc NM is the same as the measure of the central angle that intercepts it: Q. The sum of the central angles of a circle is 360°, so ...

  Q = 360° -120° -60° -65° -60° = 55°

The measure of arc NM is 55°.

Answer:

14

Step-by-step explanation:

she had 22 in all take away 8 then you get 14.

take away 8 because they came from another tree

Answer:

14 peaches

Step-by-step explanation:

10-8=2+12=14

Answer:

not able to see the angel

Step-by-step explanation:

Answer:

Therefore the required probability is [tex]\frac{30}{351}[/tex].

Step-by-step explanation:

Two events are dependents event if the occurrence of one of them has effect on the probability of the other.

If A and B are dependents,

then,

P(AB)=P(A)P(B).

Given that,

There are 27 chocolates in a box.

Number of nuts chocolates = 4

Number of caramel chocolates = 8

Number of solid chocolates= 15.

The probability of that a solid candy is drawn is

[tex]=\frac{\textrm{Number of solid chocolate}}{\textrm{Total number of chocolate}}[/tex]

[tex]=\frac{15}{27}[/tex].

After selecting a solid chocolate, the number of chocolate is= (27-1)=26.

The probability that a nut candy is drawn is

[tex]=\frac{\textrm{Number of nut chocolate}}{\textrm{Total number of chocolate}}[/tex]

[tex]=\frac{4}{26}[/tex]

[tex]=\frac{2}{13}[/tex]

Therefore the required probability is

[tex]=\frac{15}{27}\times\frac{2}{13}[/tex]

[tex]=\frac{30}{351}[/tex]

Answer:

10.6 ft

Step-by-step explanation:

The complete question is:

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth.Base=x+4 Height=x

SOLUTION:

As you know, Area of triangle 'A' = 1/2 x b x h

Where,

Base 'b' = x+4

Area 'A' = 35 ft²

Height 'h'= x

35 = (1/2)(x+4)x

35 =(x² + 4x)/2

2 * 35 =x² + 4x

70 = x² + 4x

x² + 4x - 70=0

Formula for the quadratic equation is

x = [- b ± √(b² - 4ac)]/2a

Where,

a=1,  b= 4,   c=-70

Plugging in the values.

x = [- 4 ± √4² - (4 × 1 × - 70)] / (2 × 1 )

x = [- 4 ± √(16  + 280)]/2

x = [- 4 ± √296]/2

x = (- 4 + 17.2)/2 or x = (- 4 - 17.2)/2

x = 13.2/2 or x = - 21.2/2

As, we choose to ignore negative value of 'x'

Therefore, x = 13.2/2 = 6.6

And, Length of the base will be:

x + 4 = 6.6 + 4 => 10.6 ft

The base is approximately 10.6 feet when rounded to the nearest tenth.

We know the area of the triangle is 35 square feet, the base is x + 4, and the height is x.

The formula for the area of a triangle is:

Area = 1/2 × base × height

1. Substitute the given values into the formula:

35 = 1/2 × (x + 4) × x

2. To simplify, multiply both sides by 2 to eliminate the fraction:

70 = (x + 4) × x

3. Expand the equation:

70 = [tex]x^{2}[/tex] + 4x

4. Rearrange into a standard quadratic form:

[tex]x^{2}[/tex] + 4x - 70 = 0

5. To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √([tex]b^{2}[/tex] - 4ac)) / 2a

6. Here, a = 1, b = 4, and c = -70. Plug these values into the formula:

x = (-4 ± √([tex]4^{2}[/tex] - 4(1)(-70))) / 2(1)

x = (-4 ± √(16 + 280)) / 2

x = (-4 ± √296) / 2

x = (-4 ± 17.2) / 2

7. This gives us two potential solutions:

x = (-4 + 17.2) / 2 ≈ 6.6

x = (-4 - 17.2) / 2 ≈ -10.6 (This solution is not valid since the height cannot be negative)

8. So, the height (x) is 6.6 feet. Therefore, the length of the base is:

Base = x + 4 ≈ 6.6 + 4 = 10.6 feet.

Question- The area of the triangle is 35 square ft. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth. Base = x + 4, Height = x.

Answer:

C[10] = $18.28

Step-by-step explanation:

Answer:

18 days

Step-by-step explanation:

Each cat eats 1/4 of the thin in a day, so between the two cats they eat:

 of the tin in one day.

if the two cats eat 1/2 of the tin in one day, this means that in 2 days they eat a whole tin of cat food.

we can represent this as follows

days     tins of cat food

 2                 1

and because she has 9 tins of cat food, and x represents the quantity of days:

days     tins of cat food

 2                 1

 x                 9

thus, we must multiply cross quantities from the table and divide by the remaining amount:

x = 2*9/1 = 18

the 9 tins of cat food will last 18 days

pls mark me brainliest

Answer: D

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 50

x = 32

p = 32/50 = 0.64

q = 1 - 0.64 = 0.36

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.01/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.64 ± 1.645√(0.64)(0.36)/50

Answer:

27

Step-by-step explanation:

please tell me if i am wrong

Answer:

10 Square Inches

Step-by-step explanation:

Trapezoid

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid[tex]=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$[/tex]

[tex]=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches[/tex]

Area of the Trapezoid=110 Square Inches

Rectangle

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

Difference in Area between the two packages

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches

Answer:

10 Square Inches

Step-by-step explanation:

Answer:

9/100

Step-by-step explanation:

It would be 9/100 as a fraction if thats what your asking!

Answer: A, because the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. So, if the point of the center is [tex](5,7)[/tex] and the radius [tex]2[/tex] , then on the equation should be changed as negative and the radius should be multiplied as [tex]4[/tex], which is [tex](x-5)^2+(y-7)^2=4[/tex]

Answer:

(x-1)(x+6)

Step-by-step explanation:

Answer:

What is the correct factorization of x2 + 5x – 6?

A.) (x – 1) (x + 6)

Complete the factorization shown: 3 then 2 are the blank numbers

Step-by-step explanation:

Answer:

Juan got 18.50 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Odometer in the beginning of trip = 1460.3 miles

Odometer at the end of trip = 1830.2

Gallons of gas used for trip = 20 gallons

Distance of trip =

= Odometer at the end of trip - Odometer in the beginning of trip

[tex]=1830.2-1460.3\\=369.9\text{ miles}[/tex]

Thus, the trip was of 369.9 miles.

Miles per gallon =

[tex]=\dfrac{\text{Distance cover in trip}}{\text{Gallons of gas used}}\\\\=\dfrac{369.9}{20}\\\\=18.495\approx 18.50\text{ miles per gallon}[/tex]

Thus, Juan got 18.50 miles per gallon.

1. I just bought a kite at the department store for $5.95. The owner of the store bought it from a wholesaler for $3.10. Which price is retail price?

Answer: The $5.95 is retail price because that's what I paid for it at the store

2. What percentage of the retail price is the wholesale price in #1?

 3.10 / 5.95 = 0.52100 = 52.1%

3. If the sandals cost $58.00 wholesale and $105.00 retail, what is the markup in dollars?

markup = 105 - 58 =  $47

4.The markup in #3 is what percent of the retail?

47/105 = 0.44761904761904764 = 44.8%

5.What percent of the wholesale in #3 is the markup?

47/58 = 0.8103 = 81.0%

6. A dozen eggs are purchased from the farmer at $1.05 per dozen. They are then sold to the consumer for $1.45. What percent of the retail is the markup.

(145-105)/145 = 0.2758620 = 27.6%

Answer:

uh what he said (:

Step-by-step explanation:

Final answer:

The area of the semicircle is 0.051 square meters.

Explanation:

The area of a semicircle can be found using the formula A = πr²/2, where r is the radius of the semicircle. In this case, the radius is given as 18 cm. So, substituting this value into the formula, we get A = 3.142 x (18 cm)²/2. Now, let's calculate the area step by step:

Convert the radius to meters: 18 cm = 0.18 m

Square the radius: (0.18 m)² = 0.0324 m²

Multiply by π and divide by 2: 0.0324 m² x 3.142 / 2 = 0.051 m²

Therefore, the area of the semicircle is 0.051 square meters.

Answer:

8

Step-by-step explanation:

a = -4

r = 16/-4 = -4

Sn = a(r^n - 1)/(r - 1)

52428 = -4[(-4)^n - 1]/(-4-1)

(-4)^n - 1 = 65535

(-4)^n = 65536

Means n is even

(4)^n = 65536

nln(4) = ln(65536)

n = 8