Can someone help me fast please?!

Answer:

Design 1: 151.19≤x≤160.37

Design 2: 152.46≤x≤155.88

Step-by-step explanation:

Confidence interval formula is expressed as;

CI = xbar ± Z×σ/√n

xbar is the mean of the sample

σ is the standard deviation

n is the sample size

z is the z score at 80% confidence level

For Design 1:

158.5 138.4 168.1 149.4 145.8 168.7 154.4 162.9

xbar = Sum of the samples/sample size

Sum of samples = 158.5+ 138.4+ 168.1+149.4+ 145.8+ 168.7+ 154.4+ 162.9

Sum of samples = 1246.2

Sample size = 8

xbar = 1246.2/8

xbar = 155.78

Standard deviation

σ = √\sum(x-xbar)²/N

σ = (158.5 - 155.775)² + ... + (162.9 - 155.775)²/8

= 821.075/8

= 102.634375

= √102.634375

= 10.13

σ = 10.13

CI = 155.78±(1.282×10.13/√8)

CI = 155.78±(1.282×3.5815)

CI = 155.78±(4.5915)

CI = {155.78-4.5915, 155.78+4.5915}

CI = {151.19, 160.37}

The range for the true mean is 151.19≤x≤160.37

For Design 2:

150.3 155.4 151.6 158.8 151.4 150.8 161.4 157.6 156.8 147.6

xbar = Sum of the samples/sample size

Sum of samples = 150.3+ 155.4+ 151.6+158.8 +151.4+ 150.8+ 161.4 +157.6+ 156.8 +147.6

Sum of samples = 1541.7

Sample size = 10

xbar = 1541.7/10

xbar = 154.17

Standard deviation

σ = (150.3 - 154.17)²+ ... + (147.6 - 154.17)²/10

σ = 177.681/10

σ = 17.7681

σ = √17.7681

σ = 4.22

CI = 154.17±(1.282×4.22/√10)

CI = 154.17±(1.282×1.3345)

CI = 154.17±(1.7108)

CI = {154.17-1.7108, 154.17+1.7108}

CI = {152.46, 155.88}

The range for the true mean is 152.46≤x≤155.88

Answer:

8.5 hours

Step-by-step explanation:

55 x 9.5 (add extra hour) = 552.5 miles

65 x 8.5 (actual time spent) = 552.5 miles

The time taken for Quinn to catch up to Tracy during the journey is 8.5 hours.

The time of motion of tracy and quinn is determined by using the following equation as shown below;

For tracy, d = 55(t + 1)

For Quinn, d = 65t
where;

55(t + 1) = 65t

55t + 55 = 65t

55 = 10t

t = 55/10

t = 5.5 hours

3 hour from noon + 5.5 hours = 8.5 hours

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The volume of the pyramid is 18069333.33 cubic units

The area of the surface is 313280 square units

The volume of the pyramid is solved using the formula

= 1/2 * base area * height

Where

base area = 440 * 440 = 193600

height = 280

volume of the pyramid = 1/3 * 193600 * 280

volume of the pyramid = 18069333.33 cubic units

The surface area

The surface area is calculated using the formula

= 4 *  area of the triangles

= 4 * 1/2 * 440 * 356

= 313280 square units

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4x+4=8-4x

4x+4x=8-4

8x=4

x=4/8

x=1/2

Step-by-step explanation:

4x+4=8-4x

4x+4+(4x)=8-4x+(4x)

8x+4-(4)=8-(4)

8x÷(8)=4÷(8)

x=0.5 or 1/2

Answer:

The answer is 7

Step-by-step explanation:

I don't know how to explain it really but just divide 4/3 by 28/3 and you should get the answer of x

Answer:

7

Step-by-step explanation:

Answer:2.00

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge 2021

The value of which of the mean will not be known for certain but can be inferred is called; Mu(μ)

When dealing with statistics, we have sample mean and population mean.

Sample mean is defined as the arithmetic mean of a random sample values drawn from the population. Meanwhile, Population mean is a mean that represents the actual mean of the whole population.

Sample mean is denoted as x-overbar while population mean is represented as μ.

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Answer:

Distance is 100 m

Step-by-step explanation:

From second equation of motion;

\({ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ \)

\({ \rm{s = (0 \times 10) + ( \frac{1}{2} \times 2 \times {10}^{2}) }} \\ \\ { \rm{s = {10}^{2} }} \\ \\ { \rm{s = 100 \: {m} }}\)

The distance covered is 200m

Data;

To find the distance covered by the object, we have to use the formula

of velocity. But we are not given the velocity or speed of the object here.

\(v = s/t\)

where s and t are the distance and time respectively.

But from acceleration,

\(a = v/t\\v = a*t\\v = 2 * 10 \\v = 20m/s\)

The velocity of the object is 20m/s

let's use this to find the distance covered.

\(v = s/t\\20 = s/10\\s = 20*10\\s= 200m\\\)

The distance covered is 200m

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The value of x is 4.

A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.

Given:

A triangle is an isosceles triangle.

That means the two sides and their opposite angles are equal.

From the triangle,

4x + 23 = 10x - 1

4x - 10x = - 1 - 23

-6x = -24

x = 4

Therefore, x = 4.

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The complete question is given in the attached image.

Answer:

Halo!!! i wrote my answer below your epic btw

Step-by-step explanation:

you first have to break up the surface of the shape into smaller shapes so that they are easier to work with. you then calculate all of the shapes and add them together. this can be used in the real world to find the area of houses when you need to find how much space an area of the house has.

PS:If u didnt learn to find surface area this way insert anything you want into the beggining sorry i dont know what youve been learning

The sequence of properties of equality will be applied as follows:

Step 1 - Distributive property

Step 2 - Addition property of equality

Step 3 - Addition of like terms

Step 4 - Multiplication property of equality

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.

Given, equality

y(3-y) + 2y = 4-y²

1. Distributive property: for all real numbers x, y  and z, x(y+z)=xy+xz

⇒ 3y-y²+2y = 4-y²

2. Addition Property: for all real numbers x, y  and z , if x=y , then x+z=y+z.

⇒ 3y+2y = 4

3. Addition of like terms

⇒ 5y = 4

4. Multiplication property: for all real numbers x,y,  and z, if x=y, then xz=yz

⇒ y=4/5

Hence, after rewriting we see any property is applied as mentioned below:

Distributive property

Addition property of equality

Addition of like terms

Multiplication property of equality

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The range of the function on the graph is y > -6

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is an exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

In this case, it is -6 i.e. the point where it intersects with the y-axis

So, the range is y > -6

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Answer:

Europeans were so afraid of the Vikings because they raided/ took over parts of their land in Western Europe.

Because they raided in all of their continents and settled there, and also destroyed all of their belongings.

(don't put this part but also because they were swedish)

have a good day/night <3

good luck <3

-Dan

Answer:

x > -4

Step-by-step explanation:

— 3х + 7 < 19

Subtract 7 from each side

— 3х + 7-7 < 19-7

-3x < 12

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 12/-3

x > -4

Just like any of your two-step equations, in this inequality,

start by isolating the x term which in this case is -3x by

subtracting 7 from both sides.

This gives us -3x < 12.

Solving from here, we divide both sides by -3.

However, when solving inequalities, you need to watch out.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when dividing both sides of an inequality by a negative.

So we end up with x > -4.

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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Replace x and Y with the points and solve:

4x  -2y

(-4,-1) = 4(-4) - 2(-1) = -16 +2 = -14

(-4,-4) = 4(-4) - 2(-4) = -16 +8 = -8

(2,-3) = 4(2) - 2(-3) = 8 + 6 = 14

(3,-5) = 4(3) -2(-5) = 12 +10 = 22

The minimum value ( lowest ) is -14, which would be (-4,-1)

Answer:

Probability is 0.32

Step-by-step explanation:

The info we have is 105 people bought nothing. 41 + 8, that is 49 people bought something. That makes a total of 154 people. The total goes on the bottom of a fraction (to find the probability)

So far, we have

?/154

Probability of "buy something is:

49/154

(because the data shows that 49 out of 154 people bought something)

Let's use a calculator and divide 49÷154

We get 0.3181818...

(if you are not allowed to use a calculator, reduce 49/154 to 7/22 and use long division to get 0.3181818...)

The question asks for the nearest hundredth, that's two decimal places.

Probability is 0.32

Answer:

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then

y = \(\frac{4}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 ) , then

6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line

Answer:

The answers would be =

A = (226.6 + 205.6 + 157.6) / 3 = 589.8 / 3 = (196.6)

B = (119.6 + 61.6 )/2 = 181.2/2 = 90.6

Answer:

given point is (-3,-2)

The rule for a rotation by 270° about the origin is (x,y)→(y,−x).

So,

(-3,-2)==============(-2,3).

there fore,

(-2,3) is the image point of (-3,-2)after the transformation r(x-axis) and rotation 270°.

Answer:

2 and 3

Step-by-step explanation:

The square root of 5 is 2.23607 meaning it would be in between 2 and 3.

The square root of five is 2.24 so the answer is between 2-3

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

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Answer:

it it B

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

C. (4, -6)

Hope it helps :)

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

The cross-sectional area of the cylinder with a base diameter of 44cm is approximately 1520.5 cm².

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The cross-sectional area of a cylinder is expressed as;

Cross-sectional area A = πr²

From the diagram:

The dameter of the base of the base of the cylinder is 44cm.

We can determine the radius by dividing the diameter by 2:

Radius r = 44 cm / 2

Radius r = 22 cm

Now, plug the value of the radius into the formula to find the cross-sectional area:

Cross-sectional area A = πr²

Cross-sectional area A = π(22 cm)²

Cross-sectional area A = 484π cm²

Cross-sectional area = 1520.5 cm²

Therefore, the cross-sectional area is approximately 1520.5 cm².

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The required sign that makes the statement true is "||".

The given options are 7, 22, 64, and V.

To express a percentage in mathematical notation, we divide the number by 100. In this case, 67.18% can be written as 0.6718.

Using the "||" symbol, we can write the equation as: 0.6718 || 7 = 22.

This equation represents the statement "0.6718 is to 7 as 22 is to 100." The vertical bar "||" signifies the ratio or proportion between the numbers. The double vertical bars "||" typically represent the symbol for "is equivalent to" or "is parallel to" in various contexts.

Therefore, the sign "||" makes the statement true.

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