Caleb went into a cave.
The light intensity (in candela per square meter, or \text{cd/sq. m}cd/sq. mstart text, c, d, slash, s, q, point, space, m, end text) as a function of depth inside the cave (in \text{m}mstart text, m, end text) is graphed.
What is the approximate average rate at which the light intensity decreases, as Caleb goes from a depth of 5\text{ m}5 m5, start text, space, m, end text to a depth of 14\text{ m}14 m14, start text, space, m, end text?
graph
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
330\text{ cd/sq. m}330 cd/sq. m330, start text, space, c, d, slash, s, q, point, space, m, end text per \text{m}mstart text, m, end text

(Choice B)
B
360\text{ cd/sq. m}360 cd/sq. m360, start text, space, c, d, slash, s, q, point, space, m, end text per \text{m}mstart text, m, end text

(Choice C)
C
390\text{ cd/sq. m}390 cd/sq. m390, start text, space, c, d, slash, s, q, point, space, m, end text per \text{m}mstart text, m, end text

(Choice D)
D

The probability of a hummingbird flapping its wings more than 151 times per minute is close to 0, the percentage of hummingbirds flapping between 141 and 149 times per minute can be found using the standard normal distribution table or calculator and a hummingbird flapping its wings 147 times per minute is in the 84th percentile.

To solve these problems, we'll use the properties of the normal distribution.

Part A:

We'll standardize the value of 151 using the formula for z-score:

[tex]\( z = \frac{{X - \mu}}{{\sigma}} \)[/tex]

[tex]\( z = \frac{{151 - 145}}{{2}} = \frac{6}{2} = 3 \)[/tex]

Now, we find the probability corresponding to z = 3 using a standard normal distribution table or calculator. The probability of a value being more than 3 standard deviations above the mean is very low, close to 0.

Part B:

We standardize 141 and 149 similarly:

[tex]\( z_{141} = \frac{{141 - 145}}{{2}} = -2 \)[/tex]

[tex]\( z_{149} = \frac{{149 - 145}}{{2}} = 2 \)[/tex]

Then, we find the area between these two z-scores using the standard normal distribution table or calculator. It represents the percentage of hummingbirds flapping between 141 and 149 times per minute.

Part C:

To find the percentile for 147 flaps per minute, we standardize it:

[tex]\( z = \frac{{147 - 145}}{{2}} = 1 \)[/tex]

Then, we find the area to the left of z = 1 using the standard normal distribution table or calculator. This area represents the percentile.

Final answer:

To find the probability that the sample mean is between two hours and three hours, calculate the z-scores and use the z-table to find the probability.

Explanation:

To find the probability that the sample mean is between two hours and three hours, we need to calculate the z-scores corresponding to these values and use the z-table to find the probability.

First, we calculate the z-score for two hours:

z = (2 - 2.5) / (0.25 / sqrt(60)) = -3.16

Next, we calculate the z-score for three hours:

z = (3 - 2.5) / (0.25 / sqrt(60)) = 3.16

Using the z-table, we find that the probability of getting a z-score between -3.16 and 3.16 is approximately 0.9986. Therefore, the probability that the sample mean is between two hours and three hours is approximately 0.9986.

]

Answer:

(4+x)(5+x)(5+x) = 700

x^3 + 14x^2 + 65x + 100 = 700

x^3 + 14x^2 + 65x - 600 = 0

x = 4.225

rounding = 4.23

Step-by-step explanation:

Answer: 7/25 or 0.28

Step-by-step explanation:

Given that 7/15 play a sport and 3/5 play a musical instrument.

The probability that a NCVPS student play a sport AND a musical instrument means multiplication of the two probabilities

7/15 × 3/5 = 21/75 = 7/25

Answer:

14 m

Step-by-step explanation:

We are given that

Height of tree=AB=12 m

[tex]\theta=40^{\circ}[/tex]

We have to find the distance from the spotlight to the base of the tree.

We know that

[tex]tan\theta=\frac{perpendicular\;side}{base}[/tex]

[tex]\frac{AB}{BC}=tan40[/tex]

[tex]\frac{12}{BC}=tan40[/tex]

[tex]BC=\frac{12}{tan40}=14.3\approx 14[/tex]

Hence, the distance from the spotlight to the base of the tree=14 m

Answer:

B

Step-by-step explanation:

It's a trapezoid. The top and bottom sides sum is 18+12 which is 30. the height is 10 and the equation would be 30 times 10 times 1/2. The answer would then be 150.

Answer:

b

Step-by-step explanation:

Answer:

6, 8, 10

8, 15, 17

3, 4, 5

5, 12, 13

are the right answers

Step-by-step explanation:

Answer:

fraction which has a terminating decimal as its decimal expansion is:

1/5

Step-by-step explanation:

We are given 4 fractions:

1/3 , 1/5 , 1/7 and 1/9

We have to find which fraction has terminating decimal.

1/3 = 0.33333...

1/5 = 0.2

1/7 = 0.142857142857...

1/9 =0.11111.....

Hence, fraction which has a terminating decimal as its decimal expansion is:

1/5

Final answer:

A fraction will have a terminating decimal if its denominator is a power of 2, a power of 5, or a combination of both since the base of our number system is 10. Examples like 1/8 and 5/16 have terminating decimals because their denominators are powers of 2.

Explanation:

A fraction will have a terminating decimal expansion if its denominator can be written in the form 2n5m, where n and m are nonnegative integers. This is because the base of our number system is 10, which is 2×5. So any fraction with a denominator that is a factor of a power of 10 will have a terminating decimal expansion.

Example:

In contrast, a fraction like 1/3 does not have a prime factorization that matches the form 2n5m and therefore has a non-terminating decimal expansion (0.333...).

The  volume of the cylinder is 452.16 cubic centimeter

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cylinder

Radius of cylinder is 4cm and height is 9cm

The formula for volume of cylinder = πr²h

Plug in the values of r and h

Volume = π(4)²(9)

= π×16×9

=3.14×16×9

=452.16 cubic centimeter

Hence, the  volume of the cylinder is 452.16 cubic centimeter

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The approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm is 452.16 cm³, using the formula V = πr²h with π approximated as 3.14.

Calculating the Volume of a Cylinder

To find the approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm using 3.14 for π, you can use the formula for the volume of a cylinder, which is V = πr²h. In this case, V = 3.14 × (4 cm)² × 9 cm.

First, calculate the area of the base (which is a circle) by squaring the radius and multiplying by π: Area = π × r² = 3.14 × 4² = 3.14 × 16 = 50.24 cm². Next, multiply the area of the base by the height of the cylinder to get the volume: Volume = Area × Height = 50.24 cm² × 9 cm = 452.16 cm³.

Therefore, the approximate volume of the cylinder is 452.16 cm³.

Answer:

A

Step-by-step explanation:

yy chi u yfgbngny NYC tnfnbfrbcsdv

Answer:

A

Step-by-step explanation:

Ok i'm so sorry but if you could answer this for me? nobody else will! >0<

Enter the equation of the circle described below.

Center (-3, 0), radius /5

Answer:(X+3)^2 +y^2 =25

This is the correct answer, i just found it out

Answer:

x=2

Step-by-step explanation:

1 + 4x = -5 + 7x

Subtract 4x from each side

1 + 4x-4x = -5 + 7x-4x

1 = -5+3x

Add 5 to each side

1+5 = -5+5+3x

6 = 3x

Divide each side by 3

6/3 = 3x/3

2 =x

Final answer:

To calculate the chocolate per person, divide 1.5 pounds by 5 people, resulting in 0.3 pounds of chocolate per person.

Explanation:

To find the unit rate of chocolate per person, we divide the total amount of chocolate by the number of people:

Start with 1 and 1/2 (or 1.5) pounds of chocolate for 5 people.

Divide 1.5 pounds by 5 people to find the amount each person eats.
1.5 pounds ÷ 5 people = 0.3 pounds per person.
So, each person eats 0.3 pounds of chocolate.

Answer:

0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.

Step-by-step explanation:

We are given the following information:

We treat adult using smartphones in meetings or classes as a success.

P(Adult using smartphone) = 46% = 0.46

Then the number of adults follows a binomial distribution, where

[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 9

We have to evaluate:

[tex]P(x = 3)\\\\= \binom{9}{3}(0.46)^3(1-0.46)^6\\\\= 0.2027[/tex]

0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.

Final answer:

To find the probability that exactly 3 of the 9 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

Explanation:

To find the probability that exactly 3 of the 9 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula. The binomial probability formula is given by:

P(X=k) = C(n,k) * p^k * (1-p)^(n-k)

where:

P(X=k) is the probability of getting exactly k successes

C(n,k) is the combination formula

p is the probability of success (46% in this case)

n is the total number of trials (9 in this case)

Plugging in the values, we get:

P(X=3) = C(9,3) * (0.46)^3 * (1-0.46)^(9-3)

P(X=3) = 84 * (0.46)^3 * (0.54)^6

P(X=3) = 0.299 (rounded to three decimal places)

Answer:

(9, -7)

Step-by-step explanation:

[tex]x^2+y^2+18x+14y+105=0\\[/tex]

Rearrange like x and y terms next to each other, then complete the square on both.

[tex](x-9)^2-361 + (y+7)^2 - 49 + 105 = 0[/tex]

The negative of the # numbers instead the brackets give you the centre of the circle.

The given equation does not represent a circle because the radius is an imaginary number.

The given equation represents a circle in the Cartesian coordinate plane. The general form of a circle equation is (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r is the radius. By rearranging the equation, we can find the centre by completing the square for both x and y.

For the given equation, x² + y² + 18x + 14y + 105 = 0, we complete the square for x by adding (18/2)² = 81 to both sides of the equation and for y by adding (14/2)² = 49 to both sides of the equation. This gives us:

(x² + 18x + 81) + (y² + 14y + 49) + 105 - 81 - 49 = 0

(x + 9)² + (y + 7)² = -175

The equation (x + 9)² + (y + 7)² = -175 does not represent a circle because the radius, which is the square root of -175, is an imaginary number. Therefore, the given equation does not have a real centre or radius.

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Answer:21y^4= B*7y^3

B=(21y^4)/(7y^3)

B=3y

i think this is correct

Answer:

Correct option: (d) 7.

Step-by-step explanation:

Let the number be denoted by x.

The original fraction is: [tex]\frac{29}{62}[/tex]

Add x to the numerator, i.e. 29 and subtract 2x from the denominator, i.e. 62.

The new fraction is: [tex]\frac{29+x}{62-2x}[/tex]

Now equate the new fraction to [tex]\frac{3}{4}[/tex] and solve for x as follows:

     [tex]\frac{29+x}{62-2x}=\frac{3}{4}[/tex]

[tex]4(29+x)=3(62-2x)\\116+4x=186-6x\\4x+6x=186-116\\10x=70\\x=7[/tex]

The value of x is 7.

Thus, the correct option is (d).

Answer:

B

Step-by-step explanation:

-The balanced chemical reaction of oxygen and water is written as:

[tex]2H_2_{(g)}+O_2_{(g)}->2H_2O_{(l)}[/tex]

-You notice that 2 moles of hydrogen gas reacts with one mole of oxygen gas to form 2 moles of water

-Hence, the correct choice is B

Answer:

I = Prt

I = 1500(.118)(2) = 354

Total amount to pay = $1854

Monthly payment = $77.25

Step-by-step explanation:

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Step-by-step explanation:

It is a right angled triangle so with reference angle 37°

hypotenuse (b) = 10

perpendicular (p) = x

So

tan 37° = p/ b

0.75 = x / 10

x= 0.75/10

Therefore x = 0.075

Hope it will help you :))

Answer:

D. [0,pi/2]

Step-by-step explanation:

when Ф = 0 in radian

r²=  4cos (2(0))

r² = 4 * 1

r² = 4

∴ r = √4 = 2

r = 2.

when Ф = π/2 in radian

r²=  4cos (2(π/2))

r² = 4 * -1

r² = -4

∴ r = 0

Answer:

Step-by-step explanation:

Let the number of allowable guess be x.

The difference between allowable guess and 645 must not exceed 20.

So, either,

|645 - x| ≤ 20

Or

|x - 645| ≤ 20

where that sign represents the absolute sign.

Hope this Helps!!!

Answer:

| x - 645 | = 20

665

Step-by-step explanation:

We have to guess the amount of beans in a jar to be within 20 of the actual number.

Therefore, the total has to be equal to 20.

We know that the equation required to calculate the minimum and maximum quantity of beans that will win the contest will be:

| x - 645 | = 20

But as we want is the maximum, we break the absolute value and assume "+"

Thus:

x - 645 = 20

fixed for x:

x = 20 + 645

x = 665

The maximum guess you could win is 665

Answer: 1040-A

Step-by-step explanation:

Tax form 1040 is an Internal Revenue Service form that an individual is required to file for a federal income tax return.

One of the shortened form of Tax form 1040 is the 1040-A.

1040-A form enables one to claim some adjustment. This include filing as an household head instead of a single person, claiming dependent and retirement savings, tax deductions, earned income, education, etc.

Form 1040-A is appropriate for the couple as it would allow them have a joint tax return and make tax deductions on their student loans.

Answer:

the other person was correct

The answer is D on edg2020

Answer:

P(Q or C) = 0.25

Step-by-step explanation:

We are given the following in the question:

Letters:

A, C, Q, U, A, I, N, T, A, N, C, E

Total number of observations, n  = 12

We have to find the probability that a randomly selected letter is Q or C.

Formula:

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

P(Q or C) =

[tex]=\dfrac{\text{n(Q or C)}}{n} = \dfrac{3}{12} =0.25 = 25\%[/tex]

Thus,

P(Q or C) = 0.25

Answer:

How Fast something is going say like a car or a chart that tell how much the people you live around like that surtitle thing

Step-by-step explanation:

Answer:

Speed = Distance / Time

Distance = Speed x Time

Bus: 15 x 40 = 600 m

Clever: 600 / 60 = 10 minutes

Answer = 10 mins

Step-by-step explanation:

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Answer:

$2431

Step-by-step explanation:

First we need to find the area

A = l*w

A = 13*17

A =221 ft^2

It cost 11 dollars per square foot so multiply the price times the number of square ft

221*11 =2431

The total cost will be 2431

Final answer:

Heather's new carpet for her rectangular living room floor will cost $2431. This is obtained by calculating the area of the room (221 square feet) and multiplying it by the cost per square foot ($11).

Explanation:

Heather wants to buy new carpet for her living room floor, which is a rectangle with a length of 17 feet and a width of 13 feet. To find out how much the carpet will cost, we need to calculate the area of the floor and then multiply it by the cost per square foot.

First, calculate the area of the floor by multiplying the length by the width:

Area = Length × Width

Area = 17 feet × 13 feet

Area = 221 square feet

Next, multiply the area by the cost of carpet per square foot:

Total cost = Area × Cost per square foot

Total cost = 221 square feet × $11/square foot

Total cost = $2431

Therefore, the carpet will cost Heather $2431 for her living room floor.

Answer:

x2-x1/y2-y1

-2--2/3-9=-2+2/3-9

=0/-3

The value of n in given proportion is 16

Solution:

We have to find the value of "n" in the proportion

Given proportion is:

[tex]\frac{n}{28} = \frac{4}{7}[/tex]

We can solve the above proportion by cross-multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable

[tex]->\frac{n}{28} = \frac{4}{7}[/tex]

[tex]-> 7 * n = 4 * 28[/tex]

[tex]-> n = \frac{4 * 28}{7}[/tex]

[tex]-> n = 4 * 4 = 16[/tex]

Thus the value of n in given proportion is 16

Answer:

the value of n in given proportion is 16

Step-by-step explanation:

Answer:

c on ed

Step-by-step explanation:

just took the unit test

Answer:

The answer is c

Step-by-step explanation:

98 - x² = 0

x² = 98

x = ±√98

Lets factor 98

98 | 2

49 | 7

7 | 7

1

So, 98 = 2 . 7 . 7 = 2 . 7²

x = ±√2.7²

x = ±7√2

Hope this helps!!!