On a test that has a normal distribution, a score of 30 falls three standard deviations below the mean, and a score of 60 falls three standard deviations above the mean. Determine the mean of this test.

[tex]Rational \: numbers \: can \: be \: written \: in \: the \: form \: of \: \frac{a}{b} \\ 2.3 = \frac{23}{10} = > answer[/tex]

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Answer:

  n² -3

Step-by-step explanation:

The square of a number is found by multiplying it by itself. The square of a number in an algebraic expression is shown using an exponent of 2. For a number represented by n, the square of the number is n².

3 less than a number is found by subtracting 3 from the number. Equivalently, it is found by adding -3 to the number. The addition can be done in any order. For a number represented by n, 3 less than the number is either of ...

  -3 +n

  n -3

__

The expression for "3 less than the square of a number" is ...

  n² -3 . . . . . where n represents the number

It can also be written ...

  -3 +n²

We generally prefer the first form, with variable exponents decreasing left-to-right.

The number of games Ben predict Orioles will win this year is 64 games

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

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Answer:

raise ^that 4 to the power of -1+2 like this

raise ^to the power -2 like this

5-2=3 <Awnser

At 3:30 pm

the minute hand was at 6 and hour hand was in between 3 and 4

At 4 pm

the minute hand is at 12 and hour hand is at 4

Total numbers travelled by minute hand

Total degrees turn

Answer:

[tex] R = \dfrac{PV}{nT} [/tex]

Step-by-step explanation:

[tex] PV = nRT [/tex]

[tex] nRT = PV [/tex]

[tex] R = \dfrac{PV}{nT} [/tex]

Answer:

C

Step-by-step explanation:

Option C is correct, the polygon in c option is the next step in the series

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

In the first step we can see a triangle

The triangle has three sides

In the second step there is a rectangle which has four sides

The third step has pentagon which has five sides

So in next step the polygon should have six sides

Hexagon is the next step in the series

Hence, option C is correct, the polygon in c option is the next step in the series

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Step-by-step explanation:

the volume of any cube or prism is

length × width × height (or depth)

11.1 = 2.8 × 1.2 × depth

depth = 11.1 / (2.8 × 1.2) = 11.1 / 3.36 = 3.303571429 ft

≈ 3.3 ft

Answer:

The probability is the same.

Step-by-step explanation:

The chances of rolling a 3 with one die is 1/6. The chances of rolling a 6 with 2 dice is 2/12.

the equation's squared variable is the "x", namely x², so we're looking at a vertical parabola, and thus its axis of symmetry will be a vertical line that runs through its vertex, so

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{+5} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 4}{2(1)}~~~~ ,~~~~ 5-\cfrac{ (4)^2}{4(1)}\right) \implies \left( - \cfrac{ 4 }{ 2 }~~,~~5 - \cfrac{ 16 }{ 4 } \right)\implies (\stackrel{x}{-2}~~,~~1) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{axis of symmetry}}{x=-2}~\hfill[/tex]

Check the picture below.

Yes

Functions are relations that express a rule between the x-values and the y-values.

What Makes a Function

Functions are types of relations, specifically, where the x-values do not repeat. This means that each x-value has exactly one y-value. So, if the x-values do not repeat in a relation, then it must be a function.

How To Find a Function From Coordinates

In the question, we are given 4 different coordinate points. The points have 4 x-values, none of which repeat. This means that the relationship must be a function.

To find a function from points, all you need to do is check that the x-values do not repeat.

How To Find a Function From a Graph

If you are given a continuous graph, another way to figure out if it is the vertical line test. The vertical line test is when you draw vertical lines across the graph. If you are able to draw a vertical line everywhere on the graph without the line intersecting with the graph more than once, then it is a function. However, if the line intersects with the graph more than once at any point, then it is not a function.

Answer:

No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.

Answer:

no the value tends to go to 1 but it is not exactly one.

Applying the circle theorems, we have:

4. y = 120°

x = 45°

5. x = 90°

y = 32°

6. x = 40°

y = 20°

7. x = 116°

y = 98°

8. x = 100°

y = 60°

9. x = 54°

y = 75°

The angle formed outside a circle by the intersection of two secants equals half the positive difference of the measures of the intercepted arcs, based on the angle of intersecting secants theorem.

The angle formed when two chords of a circle intersect, equals the half the sum of the measures of the intercepted arcs, based on the angle of intersecting chords theorem.

4. y = 360 - 95 - 30 - 115 = 120°

x = 1/2(120 - 30) [angle of intersecting secants theorem]

x = 45°

5. x = 90° [based on the tangent theorem]

y = 180 - 90 - 58 [triangle sum theorem]

y = 32°

6. x = 360 - 160 - 160 [central angle theorem]

x = 40°

y = 1/2(40) [inscribed angle theorem]

y = 20°

7. x = 180 - 2(32)

x = 116°

y = 1/2[132 + 2(32)] [angle of intersecting chords theorem]

y = 98°

8. x = 180 - 80 [opposite angles of an inscribed quadrilateral are supplementary]

x = 100°

y = 1/2[(2(80) - 90) + 50] [inscribed angle theorem]

y = 1/2[70 + 50]

y = 60°

9. 40 = 1/2(134 - x) [angle of intersecting secants theorem]

2(40) = 134 - x

80 = 134 - x

80 - 134 = - x

-54 = -x

x = 54°

y = 360 - 134 - 54 - 97

y = 75°

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Answer:

24 units ^2

Step-by-step explanation:

The base runs from 3 to 7 so the base is 7-3 = 4 units

The height runs from 2 to 8  so the height is 8-2 = 6 units

The area is

A = bh

   = 6*4 = 24 units ^2

Using the Vertical Line Test, the graph does not represent a function is  ellipse, the third graph.

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.

Any vertical line in the x y plane must intersect the graph of a function at most once.

In the given graphs, the graph of a function intersects the y axis twice. So, it is not a function.

From the given graphs, the third graph which is of ellipse crosses the vertical line twice.

Thus, the graph does not represent a function is ellipse.

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diameter of the cone=15.8inches

Answer:

M =290

Step-by-step explanation:

Subtraction of numbers

Answer:

A.) 20

Step-by-step explanation:

According to the bar graph, in February, the store sold 50 computers. In September, it seems like the store sold 30 computers. Therefore, if 50 - 30 = 20, the store sold 20 more computers in February than in September.

Answer:

A) 20

Step-by-step explanation:

Computers sold in Feb: 50

Computers sold in Sept: 30

50 - 30 = 20

The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive

If we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)

Let

So, probability of randomly selecting a cat or dog is

P(cat or dog) = P(cat) + P(dog)

So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

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The surface area of the stool is 3629.84 square cm

The radius is given as:

r = 34.2

The surface area is calculated using:

A = πr^2

So, we have:

A = 3.14 * 34^2

Evaluate

A = 3629.84

Hence, the surface area of the stool is 3629.84 square cm

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Answer:

first multiply numbrrs3*2=6ab

Answer:

2 1/6

Step-by-step explanation:

The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.

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Answer:

603.185789 m2

Step-by-step explanation:

603.185789 m2 or 192 π m2

formula is  [tex]3\pi r^2[/tex]:

3 x  pi x 8^2 = 603.185789489

If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees.

In the case above, by  replace the outlier of 113°F with 100°F, IQR will not change due to the fact that the q1 and q3 values are not influence by the outlier.

But the range will change from 42 degrees to 29 due to the fact that

113 - 71 = 42 and

100 - 71 =  29

Therefore, If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees .

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Answer:

1

Step-by-step explanation:

3/7 divided by 3/7 is nothing but

3/7 times 7/3 because of the keep, change, flip rule.

3/7 times 7/3 is nothing but 21/21

21/21 simplifies to 1/1

1/1 = 1

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Answer:

1) 19³=6859

2) 16² =256

3) 15³ =3375

4) 20² =400

5) 10³ =1000

Step-by-step explanation:

using your calculator to (square = number times itself) or (cube = number times itself times itself again)

The first step is constructing an angle bisector for one of the angles of the triangle.

We have to find the first step for the constructing an inscribed circle

The incenter of a triangle is the point from which the distances to the sides are equal, in this point we can start to construct the inscribed circle in the triangle because the incenter would also be the center of the circumference.

Therefore the first step in constructing an angle bisector for one of the angles of the triangle.

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Answer:

Construct the angle bisector of angle Y.

Step-by-step explanation:

I just took the test and got the answer correct :)

Answer: (-2, 1)

Step-by-step explanation:

The 1st value in a pair is x, the 2nd is y.

▪︎ (-2, 1)

1 = 2(-2)+5

1 = -4+5

1 = 1 ✅

▪︎ (-1, 4)

4 = 2(-1)+5

4 = -2 + 5

4 = 3❌

▪︎ (1, 6)

6 = 2*1+5

6 = 2 + 5

6 = 7❌

▪︎ (3, 10)

10 = 2*3+5

10 = 6 + 5

10 = 11❌

Answer: 78

Step-by-step explanation:

6(4+9)

use foil to distribute the 6 to the 4 and 9

6×4 + 6×9

24 + 54

⇒ 78