The diagram below represents which percent? a 3.2% b 8% c 32% d 42%

The probability that none of the 4 light bulbs work is 2.56%.

As per the given information, the probability that an individual light bulb works is 0.6.

Therefore, the probability that it does not work (i.e., fails) is:

1 - 0.6 = 0.4

Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.

Calculated as,

P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)

P(none work) = 0.4 × 0.4 × 0.4 × 0.4

P(none work) = 0.0256

Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.

For similar questions on limit,

brainly.com/question/282767

#SPJ4

Answer:

mean is 3 median is 3 and mode is also 3

Step-by-step explanation:

brainliest helps

Given

The sequence,

6, 24, 96, 384.

To find the nth term of the sequence.

Explanation:

It is given that,

The sequence is,

6, 24, 96, 384.

That implies,

Then, the given sequence is a GP.

Therefore,

The nth term of the given sequence is,

That implies,

Hence, the seventh term of the sequence is 24576.

Answer:

(4,3)

Step-by-step explanation:

Looking at the x-coordinate of the Skating Rink:

x = 4

Looking at the y-coordinate of the Skating Rink:

y = 3

Since the coordinates are in the form (x,y):

The coordinates of the Skating Rink is (4,3)

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

The scale factor of the dilation of the note is; S.f = 1.176

The dimensions of the original note is; 8.5-inch by 11-inch.

In essence, the scale factor of the dilation can be evaluated as follows;

Scale factor, s.f = 10/8.5

Therefore, the scale factor of the dilation of the note is; S.f = 1.176

Read more:

https://brainly.com/question/1903243

Answer:

Answer is: n/6 -7 = -10

The equation that represents the situation will be 7 - x / 6 = - 10. And the solution of the equation is 102.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

"Seven less than the quotient of a number and six is negative ten."

Let the number be 'x'. Then the equation is given as,

7 - x / 6 = - 10

Simplify the equation, then we have

7 - x / 6 = - 10

x / 6 = 7 + 10

x / 6 = 17

x = 102

The equation that represents the situation will be 7 - x / 6 = - 10. And the solution of the equation is 102.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

When Mia pays for lunch with her own money, the amount of money that her parents have left will be $65.

It should be noted that Mias parents have $150 to spend at the beach

It will cost $70 to rent a boat

$15 for snorkels

$25 for lunch

When Mia pays for lunch with her own money, the amount of money that her parents have left will be;

= Original amount - Boat - Snorkel

= $150 - $70 - $15

= $65

Therefore, Mia pays for lunch with her own money, the amount of money that her parents have left will be $65.

Learn more about money on:

brainly.com/question/24556197

#SPJ1

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

This gives us a perimeter of 40 ft x 6 ft = 240 ft and an area of 40 ft x 6 ft = 240 ft2.

Option 1:

Perimeter: 240 ft

Length: 80 ft

Width: 3 ft

Area: 240 ft2

Option 2:

Perimeter: 240 ft

Length: 40 ft

Width: 6 ft

Area: 240 ft2

To determine the two options for a rectangular shape, we need to find the perimeter, length, width, and area of the enclosed park. The perimeter is given as 240 ft, so we need to find the length and width that will give us this perimeter.

For Option 1, we can set the width to 3 ft, since this will allow us to divide the perimeter into 80 ft lengths. This gives us a perimeter of 80 ft x 3 ft = 240 ft and an area of 80 ft x 3 ft = 240 ft2.

For Option 2, we can set the length to 40 ft, since this will allow us to divide the perimeter into 6 ft widths. This gives us a perimeter of 40 ft x 6 ft = 240 ft and an area of 40 ft x 6 ft = 240 ft2.

Learn more about area here

https://brainly.com/question/13194650

#SPJ4

The algebraic expression for the quotient of 1 and the square of a number is written as 1/y²

An algebraic expression can best be defined as an arithmetic or mathematical expression that is known to consist of variables, coefficients, constants, factors as well as terms.

These expressions also said to be made up of numerous mathematical or arithmetic operations, which includes;

From the information given, we have that;

The quotient of 1 and the square of a number

Now, let the number in this case be y

This expression can be represented as;

1/ (y)²

expand the bracket

1/y²

Hence, the expression is 1/y²

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Answer: A

Step-by-step explanation:

If you look only at the ranges provided for x A is the only one that fits the graph. The domain of the first function (\(x^3-3\)) is everything equal to or less than 2. The equal to is represented by the closed circle at point (2,5) which represents that this value is included for that function. The other function continues on with values greater than 2, but does not include the x value 2 as it has an open circle at point (2,10).

z >1 for the given inequality for x.

To solve the following inequality for x.

-26 + 13z + 2 > 2 132

Since there is no x in this I'm assuming we are looking for z

Step 1: Simplify both sides

15r - 26 > -13z + 2

Step 2: Add 13z to both sides

15r - 26 + 13z > -13z + 2 + 13z

28 - 26 > 2

Step 3: Add 26 on both sides

28 - 26 + 26 > 2 + 26

28z > 28

Step 4: Divide both sides by 28z / 28 > 28 / 28

z > 1

Hence the answer is z >1 for the given inequality for x.

To learn more about inequality click here https://brainly.com/question/24372553

#SPJ9

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

Learn more about sound intensity levels:

https://brainly.com/question/30101270

#SPJ4

The total surface area of the package is the sum of the surface areas of the base and lateral faces, which is 2(12.5 square inches) + 110 square inches = 135 square inches.

What is total surface area ?

Total surface area refers to the sum of the areas of all the faces or surfaces of a three-dimensional object. For example, the total surface area of a rectangular prism is the sum of the areas of all six of its rectangular faces. It is often used in geometry and engineering to determine the amount of material needed to cover or construct a given object.

According to the question:
The package is in the shape of a square prism, which has two congruent rectangular bases and four rectangular lateral faces. The base area of the package is 25 square inches, so each base has an area of 25/2 = 12.5 square inches. Since the jewelry box is a cube with edge length 4.5 inches, it has six faces with area \((4.5 inches)^2 = 20.25 square inches\) each. Therefore, the surface area of the jewelry box is 6(20.25 square inches) = 121.5 square inches.

The lateral faces of the package are also rectangles, with length equal to the height of the package (5.5 inches) and width equal to the perimeter of the base of the package divided by 4. Since the base of the package is a square with side length 5 inches, the perimeter of the base is 4(5 inches) = 20 inches. Therefore, the width of each lateral face is 20/4 = 5 inches. Thus, the surface area of each lateral face is (5 inches)(5.5 inches) = 27.5 square inches, and the total surface area of all four lateral faces is 4(27.5 square inches) = 110 square inches.

Therefore, the total surface area of the package is the sum of the surface areas of the base and lateral faces, which is 2(12.5 square inches) + 110 square inches = 135 square inches.

To know more about total surface area visit:
https://brainly.com/question/30945207
#SPJ1

Answer:

There are 24 girls.

Step-by-step explanation:

56 total students divided into 7 parts (4 parts boys and 3 parts girls) is 8.

8 times 3(ratio of girls) is equal to 24.

Answer:

I think 24 if i'm not wrong

Step-by-step explanation:

Answer:

Slope is 1

Step-by-step explanation:

Slope=RISE/RUN

You can see the slope is constant. To clarify we can do an example.

So rise can be 2

And run is also 2

Change in y is equal to change in x

so 2/2=1

Hope it helps

Slope

Answer:

Hi how are you doing today Jasmine

Answer: 9 5/16

Step-by-step explanation:

Answer:

Yes, there is a proportional relationship.

Step-by-step explanation:

I can't put a graph in here unfortunately.

Answer:

L = 53.37 cm

Step-by-step explanation:

We have the relationship

M ∝ L³

We can rewrite this as an equation:
M = k · L³

where k, a constant, is known as the constant of proportionality

Given M = 100 kg when L = 20, we get

100 = k · 20³

100 = k · 8000

k = 100/8000 = 0.0125

If M = 1900 kg and k = 0.0125 we can plug in these values to get

1900 = 0.0125 L³

==>  L³ = 1900/0.0125

==> L³ = 152000

Therefore L = ∛152000

L = 53.36803 or

L = 53.37 cm  rounded to 2 DP

Answer:

380.00

Step-by-step explanation:

M=KL

100=20K

K=5

M=5L

1900=5L

L=380

The percent rate of change to the nearest tenth of a percent is approximately 30.0% for both forms.

Starting with \(Y=5e^{-0.7}\)  we can rewrite it using the property that \(e^{In(x)} = x\):

\(y=5e^{0.7t} = 5e^{ine^{in-0.7t} } =5e^{ln(5)}e^{-0.7t}\)

Using the property that e^(ln(x)) = x again, we can simplify further:

\(y = 5e^{(ln(5)} e^{-0.7t} = 5(5^{1/In(5)}e^{-0.7t})\)

Let \(a = 5^{1/ln(5)}\)and r = 0.7, then we have:

\(y = 5a(1 + r)^{-t} ; y = a(1 - r)^t\)

Rounding r to the nearest thousandth, we have:

r ≈ 0.700

To find the percent rate of change, we can use the formula:

percent rate of change = (1 ± r) * 100%

For the first form, we have:

percent rate of change = (1 - 0.700) * 100% ≈ 30.0%

For the second form, we have:

percent rate of change = (1 - 0.700) * 100% ≈ 30.0%

Therefore, the percent rate of change to the nearest tenth of a percent is approximately 30.0% for both forms.

To learn more about percent Click here:
brainly.com/question/28670903

#SPJ4

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%.

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%. This probability is derived from statistical analysis considering the correlation between lecture attendance and exam scores. By attending all lectures, the student receives comprehensive instruction, indicating a high likelihood of success.

The calculated probability implies a 97.13% chance of achieving the desired score. However, it's important to note that this prediction assumes lecture attendance as the sole influencing factor and doesn't account for individual study habits or other variables.

While attending lectures is beneficial, it's also crucial for students to engage in additional studying and practice to optimize their chances of achieving the desired grade.

Learn more about Probability click here : brainly.com/question/30034780

#SPJ11

Using Algebraic expressiοn, Grace can expect the value οf her investment accοunt tο be apprοximately $283 after 6 years if she makes nο οther depοsits οr withdrawals.

Algebraic expressiοn can be defined as cοmbinatiοn οf variables and cοnstants.

Tο mοdel the value οf Grace's investment accοunt as it grοws οver time, we can use the expοnential functiοn:

\(y = a(b)^x\)

where:

y is the value οf the investment accοunt x years after Grace started the accοunt.

a is the initial value οf the accοunt, which is $200 in this case.

b is the grοwth factοr οr rate, which represents hοw much the accοunt increases each year.

x is the number οf years since Grace started the accοunt.

We knοw that after οne year, the accοunt's value increased tο $212. We can use this infοrmatiοn tο find the grοwth factοr b:

\(212 = 200(b)^1\\b = (212/200)^{(1/1)}\\b = 1.06\)

Now we can write the exponential equation for the value οf the account y after x years:

\(y = 200(1.06)^x\)

To find the value of the accοunt after 6 years, we can substitute x = 6 into the equation and simplify:

\(y = 200(1.06)^6\)

y ≈ $283.88

Therefore, Grace can expect the value οf her investment account to be approximately $283 after 6 years if she makes no other deposits or withdrawals.

To learn mοre about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

Answer:

D

Step-by-step explanation:

It is D because the scuba diver was 35 m below the surface of the water at the start of the ascent. Meaning that the Y value is showing how deep the diver was in the water

Let's simplify step-by-step

8y-3x/4/4 -(-7+5x/3)

Distribute:

=-3/16 x +1/2 y+-5/3 x+7/3

Combine like terms:

=-3/16x+1/2 y +-5/3x+7/3

=(-3/16x+-5/3x)+(1/2y)+(7/3)

=-89/48x +1/2y+7/3

Answer: -89/48x+1/2y+7/3

The solution of the equations −6x − 6y = −42 and −x + 2y = 8 will be (2, 5).

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equations are given below.

−6x − 6y = −42      ...1

−x + 2y = 8            ...2

From equation 2, we have

x = 2y − 8

Put the value of x in equation 1, then we have

−6(2y − 8) − 6y = −42

−12y + 48 − 6y = − 42

18y = 90

y = 5

Then the value of x will be

x = 2(5) − 8

x = 10 − 8

x = 2

The solution of the equations −6x − 6y = −42 and −x + 2y = 8 will be (2, 5).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Answer:

2x^2-6x^4-2

Step-by-step explanation:

Answer:

Remove parentheses.

−7x²−3\(x^{4}\)−5−3\(x^{4}\)+3+9x²

Add −7x² and 9x² .

2x²−3\(x^{4}\)−5−3\(x^{4}\)+3

Subtract 3\(x^{4}\) from −3\(x^{4}\).

2x²−6\(x^{4}\)−5+3

Add −5 and 3.

2x²−6\(x^{4}\)−2

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+114+33 = 180

Combine like terms

x+147 = 180

Subtract 147 from each side

x+147-157 = 180-147

x = 33

Answer:

x=33

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.

x+114+33=180

Combine like terms by adding 114 and 33

x+147=180

In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.

x+147=180

147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.

x+147-147=180-147

X=180-147

x=33

x is equal to 33 degrees.