Scaled copys of the pic

The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

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Answer: D

Step-by-step explanation:

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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The correct statement regarding the exponential functions is given as follows:

Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

For Bacteria A, we have that:

For Bacteria B, we have that:

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Answer:

\(p=3\)

Step-by-step explanation:

\(8p-4p=2p+6\)

Solve the left side:

\(4p=2p+6\)

Subtract 2p from both sides:

\(4p-2p=2p+6-2p\)

\(2p=6\)

Divide both sides by 2:

\(\frac{2p}{2}=\frac{6}{2}\)

\(p=3\)

Answer:

p=3

Step-by-step explanation:

8p-4p=2p+6

4p=2P+6

4p-2p=6

2p=6

P=6/2

p=3 ans

Answer:

Where is the graph?

Step-by-step explanation:

Answer:

-9.7

Step-by-step explanation:

Given

x + y when x =2.1 and y = -11.8​



Solution

x+y

substitute x=2.1 and y=-11.8

2.1+(-11.8)

2.1 - 11.8 = -9.7



The final answer is -9.7

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

25.

Step-by-step explanation:

If the distance from Dunlap and Butte is 20 MI then the distance between Ferris and Butte  would be 25 because it wouldn’t reach from 20 all the way so it Hass to add more and 25 would be the only one .

Using substitution, the determination of equivalent expressions are is as follows:

Equivalent:

-6x+7-2x-3 and 4(-2x + 1)

10x-4(x-6)-3 and 11+ 2(x + 5) + 4x

Not Equivalent:

-3(x+1)-12 and -3(x-15).

Equivalent expressions are algebraic expressions that have the same value when the same value is used to substitute the variable.

To determine whether two expressions are equivalent, we can use 1 or 0:

1) -6x+7-2x-3 and 4(-2x + 1)

When x = 0

-6(0)+7-2(0)-3 = 7-3 = 4

When x = 0, 4(-2x + 1) becomes:

4(-2(0) + 1) = 4(1)  = 4

Thus, -6x+7-2x-3  and 4(-2x + 1) are equivalent expressions.

2) -3(x+1)-12 and -3(x-15)

When x = 0, -3(x+1)-12 becomes:

-3(0+1)-12 = -3-12 = -15

When x = 0, -3(x-15) becomes:

-3(0-15) = -3(-15)  = 45

Since -3(x+1)-12 and -3(x-15) give different results when x = 0, they are not equivalent expressions.

3) 10x-4(x-6)-3 and 11+ 2(x + 5) + 4x

When x = 0, 10x-4(x-6)-3 becomes:

10(0)-4(0-6)-3 = 24-3 = 21

When x = 0, 11+ 2(x + 5) + 4x becomes:

11+ 2(0 + 5) + 4(0) = 11+10  = 21

Since  10x-4(x-6)-3 and 11+ 2(x + 5) + 4x give the same result when x = 0, they are equivalent expressions.

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The surface areas of the figures are 336, 82 and 836

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

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

What is effective annual interest rate?

The percentage of interest on a loan or financial product that would apply if compound interest built up over a year without any payments would be called the effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate.

Given:

P = $500,  n = 12,  r = 0.5% = 0.005, t = 1

So, the balance be at the end of year is,

\(A = P(1+\frac{r}{n})^n^t \\A = 500(1+\frac{0.005}{12})^1^2^*^1 \\A = 500(1.00042)^1^2\\A = 502.53\)

Now to find the effective annual interest rate,

Effective annual interest rate = \(= (1+\frac{r}{n})^n-1 = (1+\frac{0.005}{12})^1^2 - 1= 0.005\)

Effective annual interest rate = 0.5%

So, the Effective annual interest rate must be less than 6%.

Hence,

(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

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Answer:

Option B

Step-by-step explanation:

\(\\ \rm\Rrightarrow f(\pi/3)\)

\(\\ \rm\Rrightarrow 2cos^2(\pi /3)=2(1/4)=1/2\)

\(\\ \rm\Rrightarrow g(\pi/3)\)

\(\\ \rm\Rrightarrow -1+4cos(\pi/3)-2cos^2(\pi/3)=-1+2-1/2=1/2\)

Now other one is

\(\\ \rm\Rrightarrow cos(2\pi -\pi/3)\)

\(\\ \rm\Rrightarrow cos(6\pi-\pi/3)\)

\(\\ \rm\Rrightarrow cos(5\pi/3)\)

Option B is correct

Answer:

θ = π/3 and 5π/3

Step-by-step explanation:

f(x) = 2cos²θ

g(x) = -1 + 4cosθ - 2cos²θ

Since they intersect,

2cos²θ = -1 + 4cosθ + 2cos²θ

4cos²θ - 4cosθ + 1 = 0

(2cosθ - 1)² = 0

cosθ = 1/2

cosθ = π/3

At (0, 2π) interval,

θ = π/3 and 2π - π/3 = 5π/3

The correct option is the last one.

Answer:

About 2.57

Step-by-step explanation:

\(21x-56=-2 \\\\21x=54 \\\\x\approx 2.57\)

Hope this helps!

Answer:

I got 2.5

Step-by-step explanation

1) add 56 to both sides to get 21x = 54

2) divide both sides by 21

3) you should get 2.5

We need the diagonal of rectangle

Hypotenuse be H

Apply Pythagorean theorem

\(\\ \rm\Rrightarrow H^2=P^2+B^2\)

\(\\ \rm\Rrightarrow H^2=10^2+24^2\)

\(\\ \rm\Rrightarrow H^2=26^2\)

\(\\ \rm\Rrightarrow H=26\)

Answer:

C. -2

Step-by-step explanation:

A (x,y)   B(x',y')      slope of AB = (y'-y)/(x'-x) = -2

After dilation with factor of 2:

A' (2x,2y)     B' (2x',2y')   slope of A'B' = (2y'-2y)/(2x'-2x) = (y'-y)/(x'-x) = -2

The slope of A' B' is the same as the slope of AB, which is -2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line AB is -2, and the slope of A' B' can be found by applying the transformation to the slope of AB.

Since the dilation is centered at the origin and has a scale factor of 2, the slope of line A' B' is also -2.

This is because the transformation multiplies the distances between points by 2 in every direction, but it does not change the angle between the lines.

Therefore, the slope of A' B' is the same as the slope of AB, which is -2.

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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8 halls would be required to accommodate 520 people in the hall.

As we know that a hall can accommodate 65 people.

To determine the number of hall required for 520 people,

first we need to find that how many halls would be required for one person,

So, we will divide the 1 by 6 to find :

The number of one person accommodate = 1/65 Hall

Then, 520 people required to accommodate = 1/65 × 520

                                                                      = 8 Halls.

[Accommodate: to have enough space for somebody/something, especially for a certain number of people]

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Answer:

y= 8

Step-by-step explanation:

y= k/x

-8= k/4

k= -8×4= -32

y= k/x

y= -32/-4

y= 8

hope it helps!

Answer:

the answer is 8 if y= -8 when x is 4 amd

By using exponent, it can be verified that

\((2.9 \times 10^5) \times (3.4 \times 10^3)\) in standard form is \(9.86 \times 10^8\)

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a \times a \times a ... \times a\) (m times), a is the base and m is the index.

The laws of index are

\(a^{m + n} = a^m \times a^n\\a^{m - n} = \frac{a^m}{a^n}\\(\frac{a}{b})^m = \frac{a^m}{b^m}\\(ab)^m = a^m b^m\\a^0 = 1\\a^{-n} = \frac{1}{a^n}\)

The given exponent is

\((2.9 \times 10^5) \times (3.4 \times 10^3)\\9.86 \times 10^{5+ 3}\\9.86 \times 10^8\)

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Answer:

Step-by-step explanation:

Point P is marked in the expanded view on the 7th mark of the 10 marks between 5×10^-3 and 6×10^-3. That means it is representing ...

  (5 +7/10)×10^-3 = 5.7×10^-3 . . . . scientific notation

__

The -3 exponent of 10 means the multiplier of the value is 1 in the 3rd place to the right of the decimal point: 0.001. So, the standard form of the number is ...

  5.7×0.001 = 0.0057 . . . . . standard form

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

If the production is increased by 10%, the new production levels for sport utility vehicles and pickup trucks are:

Factory 1: 110 sport utility vehicles

Factory 2: 99 sport utility vehicles

Factory 3: 77 sport utility vehicles, 66 pickup trucks

Factory 4: 33 sport utility vehicles, 66 pickup trucks

To find the production levels if production is increased by 10%, we need to multiply each entry of the matrix by 1.1:

A' = 1.1A = | 110 99 77 33 || 44 22 66 66 |

The matrix A' represents the new production levels. The entry in the first row and first column of A' (110) represents the number of sport utility vehicles produced at the first factory after the 10% increase in production. Similarly, the entry in the second row and third column of A' (66) represents the number of pickup trucks produced at the third factory after the 10% increase in production.

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Answer:

Latoya got a better deal because she paid less than Herman by 25 cents

Step-by-step explanation:

Latoya 18 divided by 8= $2.25

Herman 15 divided by 6= $2.50

So Latoya saves $0.25 cents

Answer:

G = -1.75t + 14

Step-by-step explanation:

Find how many gallons she had originally:

Multiply 1.75 by 4 to find how much she used in 4 hours:

1.75(4)

= 7

Since she had 7 gallons left after 4 hours, she started off with 14 gallons.

Create an equation with the format y = mx + b

b (the y intercept) is 14 in this situation, since that is the starting value.

m (the slope) is -1.75, because the car uses 1.75 gallons each hour.

Put these into the equation:

y = -1.75x + 14

Use the variables G (number of gallons remaining) and t (hours)

G = -1.75t + 14 is the equation

The equation for G, in terms of t, represents the number of gallons of gas remaining in Victoria's gas tank after t hours of driving will be G = 14 - 1.75 t

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given that the automobile uses 1.75 gallons of petrol for every hour of driving, there were 7 gallons of gas left in the tank after 4 hours of driving.

The gas before the trip is,

= 1.75 × 4 + 7

=7+7

=14

The number of gallons of gas remaining in Victoria's gas tank after t hours of driving is,

= G = 14 -1.75t

Thus, the equation for G, in terms of t, represents the number of gallons of gas remaining in Victoria's gas tank after t hours of driving will be G = 14 - 1.75 t

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Answer:

a) How many donuts did Jane buy>

b) A box of donuts contains 12 pieces, and Jane bought 24 boxes for Jannea's birthday.

c) Multiplication

d) ???

e) 288

Step-by-step explanation:

You can determine the median of a triangle by looking out for the point that is 2/3 of the distance tht connects from the vertices, to midpoint and oposite sides.

The perpendicular bisector is determined by measuring the point that is equidistant from the segment.

The altitude of a triangle can be found by measiring the height of the triangle's extension that could be inside or outside the triangle. In obtsue triangles, this altitude is commonly found outside the triangle.

Also, the angle bisector of a triangle is the point that is equidistant from the angles sides. These descriptions can help in analyzing a trinagle.

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