Michael took 12 tests in his math class

The test statistics do not lie in the rejection so the null hypothesis does not reject.

Here we have the following information:

\(\bar{x}_{1}=25.3, n_{1}=25, s_{1}=9, \bar{x}_{2}=20.5, n_{2}=23, s_{2}=8\)

Here degree of feedom will be

\(df=n_{1}+n_{2}-2=25+23-2=46\)

The critical values of t are: +/- 2.687

Rejection region:

If t < -2.687 and t > 2.687, reject H0

Pooled variance is :

\(s^{2}_{p}=\frac{(n_{1}-1)s_{1}^{2}+\left ( n_{2}-1 \right )s_{2}^{2}}{n_{1}+n_{2}-2}=72.8696\)

The standard error is

\(s_{M_{1}-M_{2}}=s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}=2.4664\)

and t-statistics will be

\(t=\frac{\bar{x}_{1}-\bar{x}_{2}}{s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}}=1.946\)

The test statistics do not lie in the rejection so the null hypothesis does not reject.

You cannot conclude...

not

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Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Hope this helps!!!

Answer:

Step-by-step explanation:

Answer:

n = 641

Step-by-step explanation:

Pipe required to provide water is 3846 m

Length of each pipe is 6 m

We need to find the no of tubes required. Let there are n tubes. It can be calculated as follows :

\(n=\dfrac{3846 }{6}\\\\n=641\)

Hence, 641 tubes will be needed.

Answer:

no

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

89+1+64=154
give brainlest (Crown)

Answer:

8

Step-by-step explanation:

Create an expression to model the situation. One can do this by simply rewriting the written expression in terms of numbers and variables. Use the variable (x) to represent the unknown value.

\(5(x)=\frac{1}{3}(64+56)\)

Simplify this expression,

\(5(x)=\frac{1}{3}(64+56)\\5x=\frac{1}{3}(120)\\5x=40\\\)

Use inverse operations to solve for (x),

\(5x=40\\x=8\)

The equation of the straight line in fully simplified slope-intercept form: \(y = 2x-6\)

A straight line is just a straight line with no bends. A straight line is one that has no bends and continues to infinity on both sides.

A straight line's equation is y=mx+c, where m is the gradient and c is the height at which the line crosses the y axis, commonly known as the y -intercept.

The drawn line cut the x-axis at (3,0) and y-axis at (0,-6)

So, the equation of line is:

    \(\frac{x}{3} + \frac{y}{-6} = 1\)

or, \(\frac{x}{3} - \frac{y}{6} = 1\)

or, \(\frac{2x-y}{6} = 1\)

or, \(2x-y =6\)

or, \(y = 2x-6\)

Thus, slope-intercept form is: \(y = 2x-6\)

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Answer:

Step-by-step explanation:

In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.

Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.

For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

So, the correct answer is:

For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

Answer:

x/6=12+7

x/6=19

x=19*6

x=114

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

tip: you can use a calculator

Hope you could understand.

If you have any query, feel free to ask.

Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.

The rotation transformation of the quadrilateral IJKL, to obtain the quadrilateral I'J'K'L', are; I'(-2, 3), J'(0, -2), K'(-2, -3), L'(-3, 1)

A rotation transformation is one in which the coordinates of a geometric figure are rotated about a point.

The coordinates of the vertex points on the figure are;

J(0, 2), K(2, 3), L(3, -1), and I(2, -3)

The coordinates of the point (x, y) following a rotation of 180° about the origin are (-x, -y)

Therefore, the coordinates of the image of the figure J(0, 2), K(2, 3), L(3, -1), and I(2, -3), following a rotation about the origin are;

J(0, 2) ⇒ J'(0, -2)  

K(2, 3) ⇒ K'(-2, -3)

L(3, -1) ⇒ L'(-3, 1)

I(2, -3) ⇒ I'(-2, 3)

Therefore, we get;

The coordinates of the image are; I'(-2, 3), J'(0, -2), K'(-2, -3), L'(-3, 1)

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The simplified expression is 28 - 4 using distributive property.

To simplify the expression (4 + )(7 – ), we can use the distributive property of multiplication over addition.

First, we have to multiply the 4 by both the terms inside parentheses:

(4 + )(7 – ) = (47) + (4- )

Next, we distribute negative sign to second term inside parentheses:

(47) + (4- ) = 28 - 4

The simplified expression = 28 - 4.

In other words, the phrase is the outcome of adding 4 to an unknown quantity, taking it out of 7 after that, and then taking the outcome of that subtraction out of 28. The operation's outcome is simplified to 24, which can be used in additional calculations or problem-solving.

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Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

Since the triangle has two congruent angles, it is an isosceles triangle, so the other leg also has a length of x.

Using the Pythagorean theorem, we have:

Answer:

$240

Step-by-step explanation:

If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.

The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;

5 a. The value of a is 3.5

b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel

A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential  function

The function is f(x) = a·log₃(x - 4),

x > 4 and a > 0

The coordinates of a point on the graph of the function, f is A(13, 7)

5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows

f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²

7 = a·log₃3²

7 = 2·a·log₃3 = 2·a·1 = 2·a

2·a = 7

a = 7 ÷ 2 = 3.5

a = 3.5

5 b. The coordinates of the x-intercept of the graph = (5, 0)

The equation of the function is;

f(x) = 3.5·log₃(x - 4)

A third point on the graph is given when f(x) = 14 as follows;

f(x) = 14 = 3.5·log₃(x - 4)

log₃(x - 4) = 14 ÷ 3.5 = 4

3⁴ = x - 4

x = 3⁴ + 4 = 85

Which gives the point, (85, 14)

Similarly, we have the point (31, 10.5), (7, 3.5)

Please find attached the graph of f(x) created with MS Excel

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Answer:

The answer is C or 44/12

Step-by-step explanation:

1/2 is equivalent to 3/6

1 4/6 is equivalent to 1 4/6 or 10/6

1 2/4 is equivalent to 1 3/6 or 9/6

When you add all of these together you get 22/6

Then you multiply 22/6 by 2 to get 44/12

Answer:

the answer is someone else can

Answer:

S = P (r)(t)

Step-by-step explanation:

S = Simple interest

P = Principle

r = rate

t = time

S = (10000 x 2%)x2

Work brackets first 10000 x 2% = 200

then 200 x 2 = 400

S = 400

Answer:

just put like what oh yea put 72

Answer:

lol

Step-by-step explanation:

lllooooooooool

The solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

The system of equations is given as

2x - y + 2z = -6

-3y + z = -2

2x - 3z = -4

Subtract 2x - 3z = -4 from 2x - y + 2z = -6

This is represented as

(2x - y + 2z = -6) - (2x - 3z = -4)

This gives

- y + 5z = -2

Multiply - y + 5z = -2 by 3

-3y + 15z = -6

Subtract -3y + 15z = -6 from -3y + z = -2

This is represented as

(-3y + z = -2) - (-3y + 15z = -6)

This gives

-14z = 4

Divide by -14

z = -2/7

Substitute z = -2/7 in - y + 5z = -2

- y - 5 * 2/7 = -2

This gives

- y - 10/7 = -2

Rewrite as:

y = 2 - 10/7

Evaluate

y = 4/7

Substitute z = -2/7 in 2x - 3z = -4

2x - 3 * 4/7 = -4

This gives

2x - 12/7 = -4

So, we have:

2x = 12/7 - 4

Evaluate

2x = -16/7

Divide by 2

x = -8/7

Hence, the solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

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229 - 40 : The difference of 299 and 40

50 + 40 : The sum of 50 and 40

50 - 40 : Take away 40 from 50

299 + 40 : 40 more than 299

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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