A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of
\(\pi\)
​

Answer:

26

Step-by-step explanation:

We can work backwards using the z-score formula to find the mean. The problem gives us the values for z, x and σ. So, let's substitute these numbers back into the formula:

z−4−16−2626=x−μσ=10−μ4=10−μ=−μ=μ

We can think of this conceptually as well. We know that the z-score is −4, which tells us that x=10 is four standard deviations to the left of the mean, and each standard deviation is 4. So four standard deviations is (−4)(4)=−16 points. So, now we know that 10 is 16 units to the left of the mean. (In other words, the mean is 16 units to the right of x=10.) So the mean is 10+16=26.

Answer:

\(26\) points.

Step-by-step explanation:

Let \(X\) denote a normal random variable with mean \(\mu\) and standard deviation \(\sigma\). (That is: \(X \sim {\rm N}(\mu,\, \sigma)\).) By definition, the \(z\)-score of an observation with value \(X = x\) would be:

\(\begin{aligned} z&= \frac{x - \mu}{\sigma}\end{aligned}\).

In this question, the value of \(\sigma\) is given. Also given are the value of the observation \(x\) and the corresponding \(z\)-score, \(z\!\). Rearrange the \(\! z\)-score definition \(z = (x - \mu) / \sigma\) to find an expression for \(\mu\):

\(\begin{aligned} x - \mu = \sigma\, z\end{aligned}\).

\(-\mu = (-x) + \sigma\, z\).

\(\begin{aligned}\mu = x - \sigma\, z\end{aligned}\).

Substitute in the value of \(x\), \(\sigma\), and \(z\) to find the value of \(\mu\), the mean of this normal random variable:

\(\begin{aligned}\mu &= x - \sigma\, z \\ &= 10 - (-16) \\ &= 26\end{aligned}\).

\(x7 - 2 \: or \: x \leqslant - 3\)

Answer: 3.5 inches

Step-by-step explanation:

The annual interest rate for the given compound interset is 6%

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.  

Given that, Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually.

A = P(1+r)ⁿ

2560 = 2250(1+r)²

2560 / 2250 = (1+r)²

1.13 = (1+r)²

Taking roots,

1+r = √1.13

r = 0.06

r = 6%

Hence, the annual interest rate for the given compound interset is 6%

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0 is the value of (p o q) (0) in function .

What are functions in mathematics?

Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

                                  Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships. A function is a relationship between inputs, with each input associated with exactly one output. Each function has a domain and a codomain or scope. 

P(0) = 0

Q(0) = - 1

(P o q)(0)  =  P(0) * Q(0)

         = 0 * - 1

          = 0

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The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Answer:

0.137 ->0.339 -> -0.431 -> 0.869 -> -0.903

Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Question:

The following table shows Linda´s monthly expenses.

Utilities → 13%

Rent → 43/100

Food → 1/10

Car → 27%

Other → 0.07

Which list shows the expenses in order from least amount to greatest amount of the monthly budget?

F other, food, utilities, car, rent

G rent, car, utilities, food, other

H food, other, utilities, car, rent

J car, rent, food, other, utilities

Answer:

To properly compare the portion of the monthly budget that every expense takes, we'll express them all as a percentage

Utilities and Car are already as a percentage, so we'll just have to work on Rent, Food, and Other.

To convert a fraction, as well as decimal numbers, to a percentage, we'll just have to multiply by 100. Thus,

Now we know that rent is 43%, food is 10% and others is 7%, so now we'll have:

Utilities → 13%

Rent → 43%

Food → 10%

Car → 27%

Other → 7%

Therefore, organizing in order from least amount to greatest amount of the monthly budget, we get:

F other, food, utilities, car, rent

The number of different delegations of six that can be formed if at least four are seniors is; 31119

Permutations and combinations, are simply the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

In this question we will be making use of the combination formula which is; \(^{n} C_{r}\) = n!/(r!(n - r)!)

The parameters are;

Number of senior leaders = 12

Number of Junior Leaders = 10

Thus, the solution is;

(¹²C₄ * ¹⁰C₂) + (¹²C₅ * ¹⁰C₁) + (¹²C₆ * ¹⁰C₀)

= (495 * 45) + (792 * 10) + (924 * 1)

= 22275 + 7920 + 924

= 31119

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Answer:

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

ENGLISH

If you Multiply 9x100 you get 900 then you divide 15 divided by 900 is 60

SPANISH

Si multiplica 9x100 obtiene 900, entonces divide 15 dividido por 900 es 60

Hope this will help you

Answer:

648

Step-by-step explanation:

96 percent *675 =

(96:100)*675 =

(96*675):100 =

64800:100 = 648

Answer:

27

Step-by-step explanation:

I can't explain sorry

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

83 102

87 115

91 107

93 122

97 125

97 127

101 120

104 127

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

185-(-40)=

185+40=

225

Answer:   145

Step-by-step explanation:  -40+185=145 Your welcome :)

Answer:

5-4=12x+x

1=13x

1/13=×

Answer:

5.4*0.08=0.432 or

43 cents

Hope This Helps!!!

Answer:

50 km

Step-by-step explanation:

Given

\(r = 4cm : 20km\) -- Scale ratio

Required

Actual representation of 10cm

Let the actual measurement be x.

So, we have:

\(r =10cm:x\)

Equate both value s of r

\(10cm : x = 4cm : 20km\)

Express as fraction

\(\frac{x}{10cm } =\frac{20km}{4cm}\)

Multiply by 10cm

\(10cm * \frac{x}{10cm } =\frac{20km}{4cm} *10cm\)

\(x =\frac{20km}{4} *10\)

\(x =5km *10\)

\(x =50\ km\)

Answer:

128

Step-by-step explanation:

There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.

Answer:

The answer is point Q

Step-by-step explanation:

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given piecewise function

STEP 2: Get the graph of the function

The graph above shows the function at every points of x indicated in the question. The red line is for the first function which is:

The blue line shows the function

Therefore, the correct graph from the options will be the one that has an equivalent plot combined and will be:

Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Value of a number in the tens' place is ten times the value of the same number in the one's place.

then, the second one at ten's place with value,= 40.

Step-by-step explanation:

Answer:

ye thats true..

Step-by-step explanation:

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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The equation can be written as g(x) = 65x + 29

What is the equation?

In mathematics, an equation is a statement that two expressions are equal. It typically consists of two parts: the left-hand side and the right-hand side, separated by an equal sign. For example, the equation 2x + 1 = 5 is a statement that the expression 2x + 1 is equal to 5.

The total cost, C, for boarding Liz's dog for x days can be represented by the following equation:

C(x) = 65x + 29

In this equation, 65x represents the daily boarding fee for x days, and 29 represents the one-time fee for the flea bath.

This equation is linear and can be written in the form g(x) = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 65, which represents the daily boarding fee, and the y-intercept is 29, which represents the one-time fee for the flea bath. So the equation can also be written as:

g(x) = 65x + 29

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The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.

To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.

That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.

d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.

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