In circle
V
V,
m
∠
U
T
W
=
5
0
∘
m∠UTW=50
∘
. Solve for
x
x if
m
⌢
=
(
9
x
−
34
)
∘
m
UW
⌢
=(9x−34)
∘
. If necessary, round your answer to the nearest tenth.

The probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered is 0.810.

As per the question an online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person.

The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

The simulation is shown in the following histogram(graph provided at the end of solution)

Based on the simulation, according to the bar graph , probability of at most 2 callers out of next 10 callers getting awaited by more than 8min is

P(x≤2) = P(0)+P(1)+P(2) {x is number of persons)

= 0.181+0.345+0.284= 0.810

So required probability is 0.810.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

= (30 × 6) - (4 + 15) / 2

= (180 - 19) / 2

= 161 / 2

= 80.5

Hope it helps!

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The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.

To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.

Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:

We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.

To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.

98 ÷ 10 = 9.8

Since 9.8 is still greater than 1, we need to continue dividing by 10.

9.8 ÷ 10 = 0.98

Now, we have reached a value less than 1, so we stop dividing.

From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:

98 =\(10^1\) + 2

Therefore, we can write 98 in exponential form as:

98 = \(10^3\)

In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.

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Answer:

\(-3h^{2} -4h-1\)

Step-by-step explanation:

Remove the  parentheses and rewrite the expression as

\(7h^{2} -7h+5-10h^{2}+3h-6\)

Then we combine like terms

\((7h^{2} -10h^{2} )+(-7h+3h)+(5-6)\)

Simplify

\(-3h^{2} -4h-1\)

Based on equations, Angus worked 6 hours on Saturday and 10 hours at his after-school job last week earning a total of $127.80.

The hourly rate at Angus' Saturday job = $8.80

The hourly rate at Angus' after-school job = $7.50

The total earnings last week = $127.80

Let the hours Angus worked at Saturday job = x

Let the hours Angus worked after-school = 4 + x

The total hours worked = x + x + 4

2x + 4

The total earnings last week 127.80 = 8.8x + 7.5x + 4 (7.5)

127.80 = 8.8x + 7.5x + 30

127.8 - 30 = 16.3x

x = 6 hours

x + 4 = 10 hours

2x + 4 = 16 (12 + 4)

Check:

Earnings at Saturday job = $52.80 ($8.80 x 6)

Earnings at after-school job = $75.00 ($7.50 x 10)

Total earnings = $127.80

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Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

35.94 lb

Step-by-step explanation:

The net mass flow rate dm/dt = flow rate in - flow rate out

mass flow rate in = concentration in × volume flow rate in = 0.4 lb/gallon of salt × 5 gal/min = 2 lb/min

Let m(t) be the mass present at time, t.

So, the concentration at time, t = m(t)/volume of tank = m(t)/100

mass flow rate out = concentration out × volume flow rate out = m(t)/100 lb/gal× 5 gal/min = m(t)/20 lb/min

So, dm/dt = 2 lb/min - m(t)/20 lb/min

So, dm/dt = 2 - m(t)/20

dm/dt = [40 - m(t)]/20

separating the variables, we have

dm/[40 - m(t)] = dt/20

integrating, we have

∫dm/[40 - m(t)] = ∫dt/20

-1/-1 ×∫dm/[40 - m(t)] = ∫dt/20

1/-1 ×∫-dm/[40 - m(t)] = ∫dt/20

1/-1 ×㏑[40 - m(t)] = t/20 + C

-㏑[40 - m(t)] = t/20 + C

㏑[40 - m(t)] = -t/20 - C

taking exponents of both sides, we have

\(40 - m(t) = e^({\frac{-t}{20} - C}) \\40 - m(t) = e^{\frac{-t}{20}}e^{-C} \\40 - m(t) = Ae^{\frac{-t}{20}} (A = e^{-C})\\m(t) = 40 - Ae^{\frac{-t}{20}}\)

when t = 0 m(0) = 10 lb

So

\(m(t) = 40 - Ae^{\frac{-t}{20}}\\m(0) = 40 - Ae^{\frac{-0}{20}}\\10 = 40 - Ae^{0}\\10 = 40 - A\\A = 40 - 10 \\A = 30\)

So,

\(m(t) = 40 - 30e^{\frac{-t}{20}}\)

when t = 40 minutes, m(40) =

\(m(40) = 40 - 30e^{\frac{-40}{20}}\\m(40) = 40 - 30e^{-2}\\m(40) = 40 - 30 X 0.1353\\m(40) = 40 - 4.06\\m(40) = 35.94\)

So, at the end of 40 minutes, the amount of salt in the tank is 35.94 lb

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

The correct inequalities are:

B. √3/2 < √2 < 1.5

D. √6 < 2.5 < √7

In mathematics, an inequality is a statement that two values or expressions are not equal. Instead, one value or expression is greater than or less than the other. Inequalities are commonly used to compare quantities or to describe ranges of values.

In the given question,

The correct inequalities are:

B. √3/2 < √2 < 1.5

D. √6 < 2.5 < √7

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The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2

To solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:

8x²(x² - 4) = 0

Now we can use the difference of squares identity to factor the quadratic expression:

8x²(x + 2)(x - 2) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

8x² = 0 or x + 2 = 0 or x - 2 = 0

Solving for x, we get:

x = 0 or x = -2 or x = 2

So the solution set for the equation is {0, -2, 2}.

To check the solution, we can substitute each value into the original equation and verify that it equals zero.

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The probability that the basketball player makes his first three-point shot on the third attempt is 0.38.

A discrete probability distribution known as a geometric distribution may be used to describe the likelihood of experiencing success for the first time following a string of failures. Up until the first success, a geometric distribution can undergo an infinite number of trials.

The number of separate trials necessary to achieve success is described by the geometric distribution,

which is a probability distribution.

In this scenario, the basketball player's three-point accuracy rate is 25%, which indicates that the probabilities of success (hitting a three-point shot) and failure (missing a three-point shot) are 0.25 and 1-p, respectively.

The likelihood that the basketball player will make his first three-point shot on the third try,

according to the geometric distribution formula, is:

P(x = 3) = (1-p)⁽³⁻¹⁾ × p

           = (0.75)²  × 0.25

           = 0.38

Hence,  there is a 38% probability that the basketball player will make his first three-point shot on the third attempt.

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Answer:

\( log_{3}( {x}^{3} + {2x}^{2})\)

Answer:

Answer:

log_{3}( {x}^{3} + {2x}^{2})log

3

(x

3

+2x

2

Answer:

20°

Step-by-step explanation:

These angles add up to 90° so we have:

x + 2x + x + 10 = 90

4x + 10 = 90

4x = 80

x = 20°

Hey! there

Answer:

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

\( \quad \longmapsto \qquad \: 5(n - 5)\)

We are substituting value of n as 7 :

\( \quad \longmapsto \qquad \:5( \bold{7} - 5) \)

Solving parenthesis that is subtracting 5 from 7 :

\( \quad \longmapsto \qquad \:5(2)\)

Now we are multiplying 5 with 2 and We get :

\( \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar\)

Step-by-step explanation:

Answer:

10 is the answer

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

\( \quad \longmapsto \qquad \: 5(n - 5)\)

We are substituting value of n as 7 :

\( \quad \longmapsto \qquad \:5( \bold{7} - 5) \)

Solving parenthesis that is subtracting 5 from 7 :

\( \quad \longmapsto \qquad \:5(2)\)

Now we are multiplying 5 with 2 and We get :

\( \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar\)

Henceforth , value of expression when n is equal to 7 is 10

Answer:

1/2 i think this is it

Step-by-step explanation:

The required measure of angle ∠A would be 89°.

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

The angles are given in the question:

m∠A = (3x+23)° and m∠B = (4x+4)°

Since both m∠A and m∠B are supplementary angles.

As per the property supplementary angles,

m∠A  + m ∠B = 180°

Substitute the values of m∠A  + m ∠B in the equaiton

(3x+23)° + (4x+4)° = 180°

3x + 4x = 180 - 23 - 4

7x = 153

x = 153/7

x = 21.857

Substitute the values of x = 21.857 in m∠A = (3x+23)°

m∠A = 3(21.857) + 23

m∠A = 88.571 ≈ 89°

Thus, the required measure of angle ∠A would be 89°.

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Answer:

f(x)^-1=\(\sqrt[3]{x}\)-1

f(x)=x^3+1+3x^2+3x

Step-by-step explanation:

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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Answer:

0.94

Step-by-step explanation:

Computation for what is the probability that AT LEAST ONE of them has been vaccinated

Based on the information given this is a binomial Distribution therefore Let;

Number of people represent n= 3 people

Population represent p = .61

Using this formula

Probability(AT LEAST ONE vaccinated) = 1 - [ 1*(1-Population vaccinated^People randomly selected)]

Let plug in the formula

Probability(AT LEAST ONE vaccinated) = 1 -[1*(1-.61^3)]

Probability(AT LEAST ONE vaccinated) = 1 - [1×(1-.61^3)]

Probability(AT LEAST ONE vaccinated) = 1 - (1×.39^3)

Probability(AT LEAST ONE vaccinated) = 1 - 0.059319

Probability(AT LEAST ONE vaccinated) = 0.940681

Probability(AT LEAST ONE vaccinated) = 0.94

Therefore the probability that AT LEAST ONE of them has been vaccinated is 0.94

Answer:

A

Step-by-step explanation:

96 ounces = to 6 pounds

7-6=1

Answer:

\(\mathbf{ x^2 + (y-8)^2 +(z)^2 = 32}\)

Step-by-step explanation:

Given that:

The center of the sphere = (0,8,0)

\(The \ equation \ of \ the \ tangent \ plane \ is:\)

= x - y = 0

x = y

However, the radius of the sphere is equal to the perpendicular distance of the plane from the center.

As such, the radius \(r = \Big | \dfrac{ax_1 +by_1+cz_1}{\sqrt{a^2 + b^2 +c^2}} \Big |\)

\(r = \Big | \dfrac{1*0 +(-1)*8+0*0}{\sqrt{1^2 + (-1)^2 +0^2}} \Big |\)

\(r = \Big | \dfrac{-8}{\sqrt{2}} \Big |\)

\(r = \dfrac{8}{\sqrt{2}}\)

\(r = \dfrac{4 \times 2}{\sqrt{2}}\)

\(r = 4\sqrt{2}\) units

Thus, the equation of the sphere \(r^2 = (x -x_1)^2 +(y-y_1)^2 +(z -z_1)^2\)

\(\mathbf{\implies x^2 + (y-8)^2 +(z)^2 = 32}\)

Step-by-step explanation:

Just follow PEMDAS and u get the answer. (Parentheses, Exponents, Multiplication, and Division (from left to right), Addition and Subtraction (from left to right).)

Answer:

c

Step-by-step explanation:

.

sure Yan pre

jhhhhhhhh

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

Answer:

When the two lines are parallel, the corresponding angles are equal. So, x° and 115° are corresponding angles. Therefore, the value of x is 115°.

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right