The price that a company charged for a computer accessory is given by the equation 100 minus 10 x squared where x is the number of accessories that are produced, in millions. it costs the company $10 to make each accessory. the company currently produces 2 million accessories and makes a profit of 100 million dollars. what other number of accessories produced yields the same profit?

Answer:

5/7

Step-by-step explanation:

(a) Is this an observational study or an experiment?

ans=Observational study – no treatment was imposed

(b) What are the explanatory and response variables?

ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior

d) Does this study show that child care causes children to be more aggressive? Explain.

No. Observational studies cannot show cause-and-effect

Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.

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Answer: 18 blinks per minute

Step-by-step explanation: so for this you take 54 and divide it by three

54/3=18

blinks per minute=18

Answer:

18

Step-by-step explanation:

54\3=18

therefore Jan blinks 18 times per minutes

Using a significance level of 0.05, the null hypothesis would be rejected for p-values less than 0.05.

Depends on if the p-value is less or more than the significance level:

Hence, the null hypothesis would be rejected for p-values less than 0.05.

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The x-axis is the horizontal center line on the coordinate plane (left to right). The y-axis is the vertical center line on the coordinate plane. The point where the x and y axis interact, identified by 0, is called the origin.

This point is located at coordinates (0,0). The x-axis is usually associated with the horizontal axis in a two-dimensional graph and is typically used to represent different categories of data. The y-axis is associated with the vertical axis and is used to represent a range of values from high to low.

The formula for determining the coordinates of a point is (x,y). The x-coordinate is the distance from the origin on the x-axis and the y-coordinate is the distance from the origin on the y-axis. For example, if a point has an x-coordinate of 4 and a y-coordinate of -3, the coordinates of the point would be (4,-3). To calculate the distance between two points, you can use the distance formula, which is the square root of the sum of the squares of the differences between the x-coordinates and the y-coordinates. For example, if the coordinates of point A are (2,3) and the coordinates+ of point B are (7,1), the distance between A and B would be calculated by taking the square root of (5-2)^2+(1-3)^2, which would equal 5.

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purchase they sold it for: $2570

loss= $180

They purchased it for= loss + selling cost

=2570+180

=$2750

Answer:

x=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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Answer:6

Step-by-step explanation:

-7=s+(-13)

Open bracket

-7=s-13

Collect like terms

s=-7+13

s=6

We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

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The expected number of smokers in a random sample of 150 students from this university is 15.

To calculate the expected number of smokers in a random sample of 150 students at a university where 10% of students smoke, you simply multiply the total number of students in the sample by the percentage of students who smoke:
Expected number of smokers = Total number of students x Percentage of smokers
= 150 students x 10%
= 150 x 0.10
= 15
So, if we know that 10% of students smoke at this university, and we have a random sample of 150 students, we can calculate the expected number of smokers as follows:

Expected number of smokers = 150 x 0.10 = 15

Therefore, we can expect that there will be approximately 15 smokers in a random sample of 150 students from this university.


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By the Pigeonhole Principle, in a class of 35 students, at least two of them have last names starting with the same letter.

To show that in a class of 35 students, at least two of them have last names that begin with the same letter, we can apply the Pigeonhole Principle.

The Pigeonhole Principle states that if you distribute n items into m containers, and n > m, then at least one container must contain more than one item.

In this case, we can think of each student's last name as an item, and the letters of the alphabet as the containers. Since there are 26 letters in the English alphabet, and we have 35 students in the class, we have more students than the number of available letters.

By applying the Pigeonhole Principle, we conclude that at least two students must have last names that begin with the same letter. This is because there are more students (35) than the number of available letters (26), so it is impossible to assign each student a unique letter as the first letter of their last name. Therefore, there must be at least one letter shared by two or more students in the class.

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Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

The distance from the center of the circle to the outer edge is called radius of the circle.

Circle is a segment of line connected to it itself. It is a 2 dimensional structure measuring 360°. The outer edge of the circle is called circumference. Now, an interesting fact about the circle is that circumference is equi distant from the radius.

Therefore, be it any point on the circumference, it will be at the same distance from radius. If the radius is further extended to meet the opposite side of circumference, it will become a diameter. The total length of diameter however decreases as we move from center to top of the circle.

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Your answer should be - 84.

Explanation:

Starting equation: \(2\:+\:8\:-\:2\:\left[32\:+\:5\:\left(1\:+\:2\right)\right]\)

-Calculate within parentheses [32 + 5 (1+2)] = 47.

Remaining equation: 2 + 8 - 2 x 47

-Multiply and divide (left to right) 2 x 47 = 94

Remaining equation: 2 + 8 - 94

-Add and subtract (left to right) 2 + 8 - 94 = -84

Your final answer is -84

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Hope this helps!

Have a great day and God bless! :)

(a) As this limit is finite and positive, the series is said to converge.

(b) As this limit is finite and positive, the series is said to converge.

(c) The numerator tends to infinity faster than the denominator, so we can say that the series diverges.

(d) As this limit is finite and positive, the series is said to converge.

(a) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=3}^\infty \frac{5n}{7+n^2}$$We have that:$$\lim_{n \to \infty} \frac{\frac{5n}{7+n^2}}{\frac{1}{n}} = \lim_{n \to \infty} \frac{5n^2}{7+n^2} = 5$$

As this limit is finite and positive, the series is said to converge.

(b) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=1}^\infty \frac{\ln^2 n}{n^2}$$We have that:$$\lim_{n \to \infty} \frac{\frac{\ln^2 n}{n^2}}{\frac{1}{n}} = \lim_{n \to \infty} \frac{\ln^2 n}{n} = 0$$

As this limit is finite and positive, the series is said to converge.

(c) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=1}^\infty \frac{2^n}{4^{n-n^2}}$$We have that:$$\lim_{n \to \infty} \frac{\frac{2^n}{4^{n-n^2}}}{\frac{1}{n}} = \lim_{n \to \infty} \frac{n2^n}{4^{n-n^2}}$$

The numerator tends to infinity faster than the denominator, so we can say that the series diverges.

(d) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=1}^\infty \frac{\sin(1/n)}{n}$$We have that:$$\lim_{n \to \infty} \frac{\frac{\sin(1/n)}{n}}{\frac{1}{n}} = \lim_{n \to \infty} \sin\left(\frac{1}{n}\right) = 0$$

As this limit is finite and positive, the series is said to converge.

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Answer:

(4 , 1)

Step-by-step explanation:

This is because to find the coordinate on a graph, it is written as ( x , y) and x is on 4 and y is on 1.

that's my opinion.

Nice question

Answer:

Answer: 4m + 16

Step-by-step explanation:

= 4(m + 4) = 4m + 4 x 4

= 4m + 4 x 4

= 4m + 16

Hope This Helps :D

Answer:

4m + 16 =

Step-by-step explanation:

multiply 4 into whats in the parenthesis

4(m+4)

4 * m

4 * 4

4m + 16 =

Answer:

x³+8 = x³+2³ = (x+2)(x²-2x+4)

a³+125 = a³+5³ = (a+5)(a-5a+25)

27a³+125b³

= (3a)³+(5b)³

= (3a+5b)(9a²-15ab+25b²)

Given:

To determine the local maximum and the local minimum of the given equation, we check the graph first as shown below:

We also note that local maximum and minimum points on a function's graph stand out rather noticeably, making them helpful for interpreting the graph's overall shape. The points of the functions that define the maximum and minimum range are local maximum and minimum.

As we can see, the point that has the minimum range is at point (4,-310), while the point that has the maximum range is at point (8,-246).

Therefore, this function has a local minimum point at x=4 with value equal to -310 and a local maximum at x=8 with value equal to -246.

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

m= 4/3

Step-by-step explanation:

Answer:

If the family has $800 for sit-down restaurant meals and fast food and they budgeted all of it for fast food, then they can buy $800/$20 = 40 fast food meals.

Step-by-step explanation:

yw;)

Answer:

40

Step-by-step explanation:

No. Of Meal=Budget/price of Meal

=800/ 20

=40

Answer:1994.

Step-by-step explanation:I need brainliest I helped with your other questions in comments pls

Answer:

angle NRT is 115 degrees

Step-by-step explanation:

NRT is 15 degree because the two triangles are congruent so you add up the degrees of the other angles and you subtract that number from 180. soooo...

28+37 = 65

and

180-65= 115

so your answer is 115.

Answer:

She bought 2.5 pounds

Answer:

2.5 lb

Step-by-step explanation:

If Sarah has not made any loss or profit then amount of coffee = total cost/cost per pound 28.75/11.5= 2.5

Answer:

f(x) = |x + 2| + 1

Step-by-step explanation:

The graph of f(x) is translated 2 units to the left and 1 unit up

A horizontal translation of 2 units results in the original function being f(x +2)

A vertical translation of 1 unit happens at f(x) + 1

Horizontal translation of 2 units left of f(x) = |x| is f(x+2) = |x + 2|

Vertical translation of 2 units up : f(x) = |x| + 1

Combined we get g(x) = |x + 2| + 1

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer: 96

Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.