On a test that has a normal distribution, a score of 49 falls two standard deviations below the mean, and a score of 61 falls one standard deviation above the mean. Determine the mean of this test.

The probability that a randomly selected client at Bernie's salon has black hair is 61 / 264.

Probability measures the odds that a stated event would occur. The odds the event happens lies between 0 and 1.

The probability that a client at Bernie's salon has black hair = number of clients with black hair / total number of clients

122 / 528 = 61 / 264

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Answer:

1/4 is the correct answer

44 is the last number

most likely

Answer:

309

Step-by-step explanation:

2781/9

Answer: C. 0.165

Step-by-step explanation:

The value of P(A∪B) = 0.835

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3,

0.55 = P(A∩B) / 0.3

P(A∩B) = 0.165

P(A) = 1-P(B)

P(A) = 1-0.3

P(A) - 0.7

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.3+0.7-0.165

P(A∪B) = 0.835

Hence, the value of P(A∪B) = 0.835

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Answer:

C = 6π in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

the area (A) of a circle is calculated as

A = πr²

given A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take square root of both sides )

r = [tex]\sqrt{9}[/tex] = 3

then

C = 2π × 3 = 6π in

The circumference of the circle is C = 6π inches

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be C

Now , the area of the circle be A = 9π inches²

where area of the circle = πr²

So , r² = 9

Taking square roots , we get

r = 3 inches

Now , the circumference C = 2πr

C = 6π inches

Hence , the circumference is 6π inches

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Answer:

16, 1/16

Step-by-step explanation:

[tex](4)^2 =16[/tex]

[tex](4)^{-2} =\frac{1}{16}[/tex]

Hope it helps you in your learning process.

[tex]\large{\textsf{\textbf{Answer\::}}[/tex]

Option B

[tex]\large{\textsf{\textbf{Calculations\::}}[/tex]

If the base is 4 , and the exponent is 2 , then the expression looks as follows :

[tex]\textbf{\textsf{$4^2$}}[/tex]

So we multiply 4 times itself .

The answer is :

[tex]\textsf{\textbf{16}}[/tex]

Detail : 4² is not equal to 4×2 , and here's why .

4² = 4 × 4 = 16

4 × 2 = 8

Now , if the exponent is negative , then we turn the number over as follows :

4⁻² = [tex]\mathsf{\dfrac{1}{16} }[/tex]

So the right option is :

[tex]\bigcirc[/tex] 16 , -16

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] 16 , 1/16

[tex]\bigcirc[/tex] 8 , -8

[tex]\bigcirc[/tex] 8 , 1/8

(Option B is right)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer: [tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]C.[/tex] [tex]200[/tex]

Step-by-step explanation:

[tex]I ~can ~see ~that ~it ~does~ not ~appear ~to ~be[/tex] [tex]LINEAR[/tex]

[tex]y = 73e^kx[/tex] [tex]< ---~pulse~rate[/tex]

[tex].7[/tex] [tex]when[/tex] [tex]y = 155[/tex] [tex]< ---~sub ~in ~x[/tex]

[tex]155 = 73 e^(.7 * k)[/tex]

[tex]ln ( 155/73) = .7k[/tex]

[tex].75296567 = .7k[/tex]

[tex]k = 1.07567[/tex]

[tex]for[/tex] [tex]x = 0.9 :[/tex] [tex]pulse rate = y = 73 e^(1.07567[/tex] [tex]^. .9) = ~ 192[/tex]

[tex]Therefore~your~answer~is:~C.~200[/tex]

Answer:

77,000 fish in 10 years

Step-by-step explanation:

calculator

Answer:

36 ft

Step-by-step explanation:

Answer:

7 feet and 2 inches

Step-by-step explanation:

12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"

Answer: Left 2, Down 3

Step-by-step explanation:

[tex]y=\sqrt{x+2}-3[/tex]

To find the horizontal shift, set the values under the root equal to 0

x + 2 = 0

x = -2

This means the functions is shifted left 2 units

To find the vertical shift, look at the -3

This means the graph is shifted down 3 units.

Answer:

the third fuction is the represents po

Step-by-step explanation:

and the next slide is the other one

Answer:

Step-by-step explanation:

44yd x 27 yd = 1188 yd,

then subtract the two unshaded squares, 2 x (22 x 6) = 264

1188 - 264 = 924[tex]yd^{2}[/tex]

Answer:

Rinzin is older

Step-by-step explanation:

The reason is that since you probably already know that there are 12 months in a year it would be 85/12=7.0833 years and 23/12=7.666 so that makes rinzin older

Hope that helps :)

Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

Two or more expressions with an Equal sign is called as Equation.

Pema is 85 months old and

Rinzin is 7⅔ years old.

We have to check who is older.

We know that 1 year = 12 months

So if 85 months are conveted to years by dividing 85 by 12

Pema, 85/12 years= 7.08 years

Rinzin, 7⅔ years = 7.06 years

We know that 7.08>7.06

Hence, Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

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Answer:

Well I would say inferntial because its more testing your hyptohsis between two friends to see which coffe they like more

To solve for x, we can perform inverse operations to cancel values out.

Eventually, we must isolate x to one side of the equal sign, or equation. That will give us its value.

[tex]\dfrac{2}{3}x+2=4[/tex]

⇒ First, isolate the x term by subtracting 2 from both sides:

[tex]\dfrac{2}{3}x=2[/tex]

⇒ Now, multiply both sides by 3 to get rid of the fraction:

[tex]2x=6[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]x=3[/tex]

[tex]x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

[tex]\sf \dfrac{2}{3}x+2=4[/tex]

Subtract 2 from both sides.

[tex]\sf \dfrac{2}{3}x=4-2\\\\\sf \dfrac{2}{3}x=2[/tex]

Multiply both sides by 3.

[tex]\sf2x=2*3\\2x=6[/tex]

Divide both sides by 2.

[tex]\sf x=\dfrac{6}{2} \\\\\sf x=3[/tex]

Answer: Grace is correct because a rhombus does not have right angles

Step-by-step explanation:

Grace's assertion is on point. Right angles are not present in all quadrilaterals.

A quadrilateral in geometry is a four-sided polygon with four edges and four corners.

As per the definition of Quadrilateral and rectangle, the rectangle is the type of quadrilateral that has 4 right angles.

Other varieties of quadrilaterals consist of:

Trapezium: Doesn't must have four right angles, but has one pair of opposite sides that are parallel.

A parallelogram has four right angles, but not necessarily two sets of opposite sides that are parallel.

All four sides of a rhombus are equal in length, although there aren't always four right angles.

Kite: Does not must have four right angles, but two adjacent pairs of sides that are equal in length.

Therefore, Grace's assertion is right.

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[tex]\text{Given that,}~f(j) = -5j-4\\\\f(p-5) = -5(p-5) -4\\\\~~~~~~~~~~~~=-5p+25-4\\\\~~~~~~~~~~~~=-5p+21[/tex]

The correct option regarding the probability of rolling a number that is at least 10 is given by:

А 10 percent, Lower

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:

pT = 11/20 = 0.55 = 55%.

For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:

pE = 1/10 = 0.1 = 10%.

Which is lower than the theoretical probability, hence option A is correct.

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Answer:

24 a.)

Step-by-step explanation:

the base is a triangle

Answer:

59.66

Step-by-step explanation:

Complementary angles have sum 90°

Hence

Option A

Answer:

A)(6x + 2) + 40 = 90

Step-by-step explanation:

(for convenience, I have labelled it with alphabets)

Line ED has crossed line AB perpendicularly resulting [tex]\angle BFC[/tex] and [tex]\angle CFD[/tex] complimentary to each other. That means

[tex]\angle BFC+\angle CFD=90^{\circ}[/tex]

Here:

Hence,

The equation can be used to determine the value of x is

In conclusion

Our answer is A)

the answer will be 33.33% percent