This is had can you help me

Using the t-distribution, it is found that:

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 3.25, \mu = 3.3, s = 0.02, n = 20[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.25 - 3.3}{\frac{0.02}{\sqrt{20}}}[/tex]

t = -11.18.

We are testing if the mean is different of a value, hence we have a two-tailed test, with 20 - 1 = 19 df and a standard significance level of 0.05, hence, using a t-distribution calculator, the critical value is [tex]t^{\ast} = \pm 2.093[/tex].

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Answer:

x = 10.5

Step-by-step explanation:

Intersecting chord theorem : If two chords intersect within a circle then the product of the measures of the segemnts made up of the chords are equal to each other.
For more reference to this, kindly view the attatched image.

Applying this theorem we would create an equation which would be 2 × x = 7 × 3

We then solve for x

2 × x = 7 × 3

==> simplify both sides

2x = 21

==> divide both sides by 2

x = 10.5

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

Answer:

Volume of cylinder = pi r^2 h

1225 pi = pi×r^2×25

r^2= 1225/25=49

so, r= 7 cm

Answer:

$0.01

Step-by-step explanation:

Convert gallons to ounces:

0.03125 Gallons of milk per serving

0.03125/2.48=0.0126008

Simplify:

0.01.

One portion costs 1 cent.

Answer:

36

Step-by-step explanation:

calculate the 6+the Other 6 together

Answer:

36

Answer:

the surface of the teachers table measures 1.5 m by 1m what is its surface area

Answer:

C and J

Step-by-step explanation:

Answer:

2nd row

Step-by-step explanation:

The y-intercept corresponds to the ordered pair having an x-value of 0. The second row of the table has an x-value of 0, and y-value of 2. Therefore, the y-intercept is (0, 2).

Answer:

30 days.

Step-by-step explanation:

27 ÷ 0.9 = 30.

Answer:

in 30 days she will reach 27 miles.

Step-by-step explanation:

27 miles / 0.9 miles = 30 days

Answer:

6 medians.

Step-by-step explanation:

because the medians of 5 and 7 is 6.

Answer:

c

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

the volume (V) of the cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × a² × 2a = 2a³π

(b)

the volume of the prism is calculated as

V = Ah ( A is the cross- sectional area and h the height ) , then

a²b = 2a³π ( divide both sides by a² )

b = 2πa

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

Speed of Carmen = 40km/h

and speed of Carmella = 60km/h

Step-by-step explanation:

Let the speed of Carmen = x km/h

Carmella speed will be (x + 20)km/h

Distance = 120 km

Time between Carmen and Carmella = 1 hour

[tex] \sf Time= \frac{distance}{speed} [/tex]

Let the time taken by Carmen be T1

and Carmella be T2

[tex] \sf So \: T_1 = \frac{120}{x} \: and \: T_2 = \frac{120}{x + 20} [/tex]

As there is 1 hour difference so

[tex] \sf T_2 - T_1 = \: 1 hour \\ \\ \\ \sf \implies \frac{120}{x } - \frac{120}{x + 20} = 1 \\ \\ \\ \sf \implies \frac{120(x + 20) - 120x}{x(x + 20)} = 1 \\ \\ \\ \sf \implies 120x + 2400 - 120x = {x}^{2} + 20x \\ \\ \\ \sf \implies 2400 = {x}^{2} + 20x \\ \\ \\ \sf \implies 0 = {x}^{2} + 20x - 2400 \\ \\ \\ \sf \implies 0 = {x}^{2} + 60x - 40x - 2400 \\ \\ \\ \sf \implies0 = x(x + 60) - 40(x + 60) \\ \\ \\ \sf \implies 0 = (x + 60)(x - 40) \\ \\ \\ \sf \implies \red{\boxed{x = 40km}}[/tex]

We have not considered 60 as it will become negative value and negative value is not possible in distance

Speed of Carmen = 40km/h

Speed of Carmella = 40 + 20 = 60km/h

Answer:

E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1

Step-by-step explanation:

Step-by-step explanation:

the thing you need to do here is put the value of x and just simply the expression.....

= 3y + 78 + 6y + 13

= 3 × 3 + 78 + 6 × 3 + 13

= 9 + 78 + 18 + 13

= 118

[tex]....[/tex]

Answer:

3×3+78+6×3÷13

9+78+18÷13

88.38

Step-by-step explanation:

i m not sure if it's correct since i didn't follow tye bodmas rule properly and it was bit tricky and it comes in decimal so not sure if it's correct

Answer:

C

Step-by-step explanation:

Formula to get the area

A = r^2π

A = 16^2π

A= 804.24 cm^2

As per the given data, the approximate area of the shaded sector is 283 square cm, which is option D.

Area is a measure of the amount of space inside a two-dimensional shape or a flat surface. It is typically measured in square units, such as square meters or square feet.

To find the area of the shaded sector, we need to first find the area of the whole circle, and then multiply it by the fraction of the circle that is shaded.

The area of a circle is given by the formula:

A = [tex]\pi r^2[/tex]

Where r is the radius of the circle. In this case, we are given that the radius of the circle is 18 cm, so we can substitute this value into the formula:

A = [tex]\pi 18^2[/tex]

A = 324π

So, the area of the whole circle is 324π square cm.

The shaded sector has a central angle of 100 degrees, which is a fraction of the total central angle of 360 degrees. So, the fraction of the circle that is shaded is:

100° / 360° = 5/18

Therefore, the area of the shaded sector is:

A = (5/18) * 324π

A = 90π

Using 3.14 as an approximation for π, we get:

A ≈ 90 * 3.14

A ≈ 283

Thus, the approximate area of the shaded sector is 283 square cm, which is option D.

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Answer:

8/12

Step-by-step explanation:

    [tex]\large\boxed{\sf inverse \ variation}[/tex]

           [tex]\sf \large\boxed{\sf xy = 12}[/tex]

The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.

After identification, it looks like a inverse graph.

Constant variable:

Inverse variation: xy = a   [a is constant]

Equation: xy = 12 or y = 12/x

Answers:

This is an Inverse variation

The equation is y = 12/x which is the same as saying xy = 12

======================================================

Explanation:  

Notice that for each column, the x & y values multiply to 12.

This tells us that x*y = 12 which rearranges to y = 12/x

All inverse variation equations are of the form y = k/x which is equivalent to xy = k.

As x increases, y decreases, and vice versa.

Check the picture below.

The area of the training field is 5606.48 m².

Area can be defined as the region bounded by a plane shape.

To calculate the area of the training field, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the training field is 5606.48 m².

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The probabilities of cases 1, 2, 3, and 4 will be 1/3, 5/36, 1/6, and 1/4 respectively.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability is given as

P = Favorable event / Total event

1.  The probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip will be

P = 1/3

2.  The probability that you get an 8 when you are rolling a number cube will be  

P = 5/36

3.  From a letter cube (A, B, C, D, E, and F), Then the probability that a B is on top when you roll the cube will be

P = 1/6

4.  Mila and 3 other applicants apply for a job. Then the probability that Mila gets hired will be

P = 1/4

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Answer:

B. AA similarity postulate

Answer:

3.5.

Step-by-step explanation:

Y = kx   where k is the slope of the line

k = y/x

The slope 3/5/1 = 3.5

y/x = 3.5.

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

The distance that would be covered after t seconds = 1.5t meters

The speed of the race=distance/time =1.5m/s

The time given = t seconds

The distance (d) = ?

From the formula of speed = distance/time, make distance the subject of formula,

distance (d) = speed×time

= 1.5×t

= 1.5t meters

Therefore, the distance covered is 1.5t meters after t seconds.

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