A market survey for a product was conducted on a sample of 600 people. The survey asked the respondents to rate the product from 1 to 5, noting score of at least 3 to be good. The survey results showed that 75 respondents gave the product a rating of 1, 99, gave a rating of 2, 133 gave a 3, 172 rated 4, and 121 gave a 5. Construct a 95% confidence interval for the proportion of good ratings.

Answer:

Step-by-step explanation:

is a 18 and 27 yes to the following question

a) 18 = 2 x 3^2

    27 = 3^3

-> HCF = 3^2 = 9

b) 35 = 5 x 7

    75 = 3 x 5^2

-> HCF = 5

c) 144 = 2^4 x 3^2

   360 = 2^3 x 3^2 x 5

-> HCF = 2^3 x 3^2 = 72.

d) 30 = 2 x 3 x 5

    40 = 2^3 x 5

    45 = 3^2 x 5

-> HCF = 5

e) 144 = 2^4 x 3^2

    384 = 2^7 x 3

    432 = 2^4 x 3^3

-> HCF = 2^4 x 3 = 48.

Answer:

For B it is A92B but for a

Step-by-step explanation:

I got it right on my test!

Let length of the big piece be x.

It is told that the length of the small piece of the carpet is 5m greater (+5) than 1/4 the length of the larger piece (1/4 × x)

Putting it all together in an equation we can calculate the length of the big piece:

12 m (length of the smaller piece)  = \(\frac{1}{4}\) × x (length of larger piece) + 5m

Solving the equation for x we get,

12m - 5m = \(\frac{1}{4}\) x

7m × 4 = x

28m = x

Therefore, the length of the larger piece is:

x = 28m

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Answer:

X=9

Y=-9

Step-by-step explanation:

3x - 4y =9

-3x +2y=9 cross 3x and - 3x since they're opposite ــــــــــــــــــــــــ

-4y +2y =9 +9

-2y =18

Y =-18/2

Y= -9

Replace y in the first equation:

3x - 4 (-9)=9

3x +36=9

3x = 27

X= 27/3

X= 9

Hope this helps you.. Good luck

Answer:

x=-9 and y=-9

Step-by-step explanation:

Answer:

(x+7) * (x+2)

Step-by-step explanation:

Rewrite x^2+9x+14

turn 9x into a sum

x^2+7x+2x+14

factor out x^2

xx(x+7)+2x+14

then factor out 2

xx(x+7)+2(x+7)

factor out x+7 and you're left with

(x+7)*(x+2)

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.

If two triangles have an equal number of comparable angles and sides, they are said to be similar.

Similar figures are items that have two or more figures with the same shape but varying sizes.

Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.

A portion on one polygon must correspond perfectly to a part in another polygon that is in a similar place. Even though two triangles are oriented differently from one another, you can conclude that their angles match if you can spin them to align in the same direction and notice that their angles are similar.

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Answer:

$4000

Step-by-step explanation:

use formula a = w*p

1200.00 = w0.3

/ 0.3          /0.3

w = 4000

The total earnings done by Jackson last month will be equal to 4000.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information provided in the question,

Total investment is done by Jackson = 1200

The investment is 30% of total earnings.

Assume that Jackson's earnings are x.

Then,

30% of x = 1200

x = 1200 × (100/30)

x = 4000

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Answer:

We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)

Step-by-step explanation:

If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] =  tan⁻¹(y/x).

So, the point (x, y) is rotated counterclockwise by an angle of  θ = tan⁻¹ (y/x) to perform both reflections.

Answer:

J

Step-by-step explanation:

You would need to use distance formula.

Distance formula is

\(Distance = \sqrt{(x_{2}-x_{1} )^2 +(y_{2}-y_{1})^2}\)

You would take the points of X which is (5,6) and insert 5 as \(x_{2}\) and 6 as \(y_{2}\).

And then take the points of Y which is (-5,0) and insert -5 as \(x_{1}\) and 0 as \(y_{1}\).

And then solve for the distance.

If the fifth day of the month is two days after Monday, then the fifth day would be Wednesday. Additionally, the 19th would be a Wednesday, that is, the day before the 19th would be Tuesday the 18th.

To identify the day of the week that coincides with the date 19 and 5 we must have the information as a reference:

The fifth day is two days after Monday.

According to the information above, the fifth day would be a Wednesday. Additionally, we must use this information to organize the rest of the days of the month as shown below:

According to the above, the 19th would be Wednesday and the day before this would be Tuesday the 18th.

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Answer:

im workin gon it can you please mark me as brainliest

Step-by-step explanation:

First of all, calculate the volume of the swimming pool by using the following formula:

V = π r·h

h: height = 1.3 m

r: radius of the base = 9 m/2 = 4.5 m

replace the previous values into the formula for V:

V = (3.14)(4.5 m)(1.3 m)

V = 18.37 m³

Next, calculate the quotient:

18.37 m³/(14 m³/h) = 1.31 h

Hence, 1.31 hours are required to empty the swimming pool

Answer:

Step-by-step explanation:

19620 J.

Answer:

hello~ is this how im sopoused to talk~

Step-by-step explanation:

good bye~

Answer:

Imma be truthful here

Hotest boy: Bakugo

Cutest boy: Deku (everyone can relate) and Mineta

Toughest boy: Todoroki (hes mentally still stable after all that trauma-)

Craziest boy: Shigakari

Most Annoying Boy: Twice

Now imma talk about the mineta thing

Mineta would be the perfect little guy in the series if he wasnt a perv. He's super smart, but lets his single pringle self get in the way. So really he is cute when hes not being a perv.

Answer:

simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month

Step-by-step explanation:

Answer:

y = -5x - 7

Step-by-step explanation:

(Change in y) / (Change in x)

(3-8) / (-2 - (-3))

-5 / 1

-5 is the slope

So far we have y = -5x

Plug in a set of values and find the difference

3 = -5(-2)

3 = 10

This is false

We need to subtract 7

Our equation therefore is

y = -5x - 7

Answer:

100 + 6 = 106%

890/100 X 106 = 943.4

total cost 943.40

Answer:

The correct answer is: Option 2

\(y+1 = \frac{8}{9}(x+4)\)

Step-by-step explanation:

Point-slope form of an equation is given by:

\(y-y_1= m(x-x_1)\)

Here m is the slope of the line and (x1,y1) is the point from which the line passes

Given points are:

(-4,-1) and( 5,7)

Slope is given by the formula:

\(m = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{7-(-1)}{5-(-4)}\\m = \frac{7+1}{5+4}\\m = \frac{8}{9}\)

Now we will put the first point and slope in general form of equation of line

\(y-(-1) = \frac{8}{9}(x-(-4))\\y+1 = \frac{8}{9}(x+4)\)

Hence,

The correct answer is: Option 2

\(y+1 = \frac{8}{9}(x+4)\)

Mia is able to find the height of the students so accurately using the tangent property of trigonometry.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it can be seen that there are two right triangles, therefore, using the tangent property of the trigonometry, Mia is able to find the height of the students so accurately.

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The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

Answer:

try -1 it's easier to get the question answered so it can be turned in

Answer:

x=2

sx = 2 - (2 x 0.04)

sx = 2 - 0.08

sx = 1.92

lx = 2 + (2 x 0.04)

lx = 2 + 0.08

lx = 2.08

Step-by-step explanation:

Answer:

152 cents

hope this helps

have a good day :)

Step-by-step explanation:

100 cents make a dollar. $1.52 would equal 152 cents.

Answer:

Es ydjwj rjsbt djeiweke

The algebraic expression x³y⁴ - x⁴y⁴ is factorized to be x³y⁴(1 - x) using their highest common factor HCF

The H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.

The two terms x³y⁴ and x⁴y⁴ of the algebraic expression x³y⁴ - x⁴y⁴ have their highest common factor to be x³y⁴ such that:

x³y⁴ × 1 = x³y⁴

x³y⁴ × x = x⁴y⁴

and

x³y⁴ - x⁴y⁴ = x³y⁴ × 1 - x³y⁴ × x

x³y⁴ - x⁴y⁴ = x³y⁴(1 - x)

Therefore, the algebraic expression x³y⁴ - x⁴y⁴ is factorized to be x³y⁴(1 - x) using their highest common factor HCF

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Answer:

DCAB

I arranged in increasing order

Answer:

DCAB

Step-by-step explanation:

\(A = \frac{2}{5} = 0.40\\\\B= \frac{2}{3} = 0.66\\\\C= \frac{1}{4} = 0.25\\\\D =\frac{1}{10} = 0.10\)

So moving from least to highest DCAB