Draw the graph of the polynomial p(x) = x² + 2x - 3 and find the zeroes of the polynomial from the graph.

Answer:

Standard Deviation

Step-by-step explanation:

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Answer:

B

Step-by-step explanation:

Radius is half of diameter so r is 36

\(4/3\pi r^3\) is volume of sphere

using 3.14 as pi you get 195,333.12 cubic cm

Answer:

84 / 100 so an 84%

Step-by-step explanation:

Answer:

\(|7m- 56| = 56 - 7m\)

Step-by-step explanation:

Given

\(|7m- 56|\)

\(m < 8\)

Required

Rewrite the expression without absolute values

The first step is to check if the expression in |...| is positive or negative;

The question says m < 8,

This means the value of m could be 7, 6 ...

Let's assume m is 7

\(7m - 56 = 7 * 7 - 56 = 49 - 56 = -7\)

This means that the expression \(|7m- 56|\) will give a negative value if \(m < 8\)

So,

\(|7m- 56| = -(7m - 56)\)

Open bracket

\(|7m- 56| = -7m + 56\)

Rearrange

\(|7m- 56| = 56 - 7m\)

The expression can't be further simplified

Answer: nope u get it

Step-by-step explanation:

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer: 125

Step-by-step explanation: 20% prefer naxvip juice, which is 1/5 of 100, if 25 people is 20% of the whole sample, 25*5 = 125, would be the answer.

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer:

√5

Step-by-step explanation:

I think that is the answer I never come to such a question of changing things to radical form but I guess 5 cannot be multiplied by a number such that it has a square root so the answer is that√5

We can write the measurements as -

a = 7.8

b = 9.24

(B) = 50°

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that two triangles in the map below are similar.

We can write -

{ 1 } -

sin (A) = a/c

a = c sin(A)

a = 12 sin(40°)

a = 12 x 0.65

a = 7.8

{ 2 } -

cos (A) = b/c

b = c cos(A)

b = c cos(40°)

b = 12 x 0.77

b = 9.24

{ 3 } -

tan (B) = b/a

tan (B) = 9.24/7.8

tan (B) = 1.19

(B) = 50°

Therefore, we can write the measurements as -

a = 7.8

b = 9.24

(B) = 50°

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To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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According to given :

h-5.3 = 2.6

Adding 5.3 on both sides,

h-5.3+5.3 = 2.6+5.3

h = 7.9

Therefore,

The correct option is,

c) 7.9

What is adding property of equality?

The addition property of equality states that when the same quantity is added to both sides of an equation, the equation does not change.

If a number x is added to both sides of an equation

A = B, then the equation still holds true.

It can be expressed mathematically as, A + x = B + x.

For example -

It essentially says that if there are two containers with equal amounts of water, then the containers will still have equal amounts of water when one gallon of water is added to each.

Both arithmetic and algebra use the addition property of equality.

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Disclaimer : The complete question is given below

Question :

Solve the equation. Then check your solution. h-5.3=2.6

a. –2.7

b. 2.7

c. 7.9

d. 13.78

We get that the value of h is option (c) 7.9 for the equation h - 5.3 = 2.6.

We are given an equation:

h - 5.3 = 2.6

An equation is an expression that has an equality sign in between.

For example: 3 x + 4 y = 6 or 7 x + 8 y = 9

We have to solve the equation to find the value of h.

First, we will add 5.3 to both the sides of the equation.

h - 5.3 + 5.3 = 2.6 + 5.3

Now simplifying the expression, we get that:

h = 2.6 + 5.3

Solving the expression to get the value of h:

h = 7.9

So, option (c) 7.9 is correct.

Therefore, we get that the value of h is option (c) 7.9.

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Answer:

This happens to me also. When i click on it it can say go to inbox and sometimes it will show up there. If not then it will sometimes transfer the ¨messages ¨ into your regular notifications with the bell symbol.

Step-by-step explanation:

Hope this helps

Answer:

1. x = sqrt3 - 4, negative sqrt3 -4

2. x = sqrt13, negative sqrt13

3. x = sqrt7/2 , negative sqrt7/2

4. x = sqrt3/2 - 14, negative sqrt3/2 - 14

Step-by-step explanation:

sqrt = square root

Answer:

Rs 2160

Step-by-step explanation:

1 dozen = 12 copies

2 dozen = 24 copies ( 2*12)

72÷12 = 6 dozen

72 copies = 6 dozen

1 dozen = Rs 720÷2

1 dozen Rs 360

6 dozen = 360*6

6 dozen = 72 copies = Rs 2160

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

The equation in slope-intercept form for the line is y = -3/2x + 5.

We have,

In slope-intercept form,

The equation of a line is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line crosses the y-axis).

Given that the slope is -3/2 and the y-intercept is 5, we can substitute these values into the equation to obtain:

y = -3/2x + 5.

This equation tells us that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 3/2 units.

The y-intercept of 5 indicates that the line passes through the point (0, 5).

Thus,

The equation in slope-intercept form for the line is y = -3/2x + 5.

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Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

Answer:

C) 65 degrees

Step-by-step explanation:

Both of the angles given are supplementary angles meaning the equal 180 degrees. So you format it as (28x + 3) + (17x - 3) = 180. Simplify the equation to get 45x = 180. Divide 180 by 45 to recieve 4. We now know x is equal to 4. Plug 4 into x for 17x - 3 to get 17(4) - 3. Which equals 65.

Answer:

D) (2,-1)

Step-by-step explanation:

These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.

Answer:

4/7

Step-by-step explanation:

Answer:

4 protons

Step-by-step explanation:

because protons are positive and the ion has a negative charge

Part a). If Sylvia fills 7 glasses, then the amount of lemonade she serves is 7/8 of a gallon

Therefore, the amount of lemonade left in the container will be 33/8 gallons.

Part b). If Sylvia fills 20 glasses, then the amount of lemonade she serves is 5/2 gallons

Therefore, the amount of lemonade left in the container will be 5/2 gallons

Part c). If Sylvia fills 32 glasses, then the amount of lemonade she serves is 4 gallons

Now, the amount of lemonade left in the container will be 1 gallon

16.32 X 8.1 = 132.192

Answer:

1. C 2.B .  

Step-by-step explanation:

answer : 1. A+ 5/4 +19/4 ,,,,, 2. 14/4 = 7/2

Hope it helps :)

Answer:

What is the equation that models this scenario?

✔ A + 5/4 = 19/4

and

How many pounds of apples did Angelica buy?

✔ 14/4 = 7/2

Step-by-step explanation:

Hope this helps!! :)

Answer:

Rise 4 and runs -10

Step-by-step explanation:

So the slope is 4/-10

The probability of at least one is a Samsung in the purchase collection of two independent LED HDTV is equal to 0.376.

Percent of all LED display manufactured by Samsung = 21%

Probability that at least one purchase is Samsung

= 1 - Probability that both purchases are not Samsung

Probability that the first purchase is not Samsung is 1 - 0.21 = 0.79.

The probability that the second purchase is also not Samsung is also 0.79.

Since the purchases are independent,

Multiply these probabilities to get the probability that both purchases are not Samsung,

P(neither is Samsung)

= 0.79 x 0.79

= 0.6241

The probability that at least one purchase is Samsung is,

P(at least one is Samsung)

= 1 - P(neither is Samsung)

= 1 - 0.6241

= 0.3759

Rounding to 3 decimal places, we get,

P(at least one is Samsung) = 0.376

Therefore, the probability that in a collection of two independent LED HDTV purchases, at least one is a Samsung is 0.376.

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The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

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Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

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Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation: