What is a cubic polynomial function with zeros -20, -15, and -6?
What is a quartic polynomial function with zeros -20, -16, -11, and -9?
What are the zeros of x^3 + 16x^2 + 60x? What are their multiplicities?

Answer:

26 mm

Step-by-step explanation:

1 cm is equal to 10 mm

2.6 cm

> 2.6 x 10

> 26 mm

Answer:

Step-by-step explanation:

y=108/2=54°

Answer:

Y = 54

Step-by-step explanation:

I disagree with Shannon's statement that 758−513=245 based on the reasoning provided.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.

Here,

While it is true that 7−5=2, 5−1=4, and 8−3=5, this reasoning only applies to the individual digits in each place value, not the numbers as a whole. To subtract the two mixed numbers 7 5/8 and 5 1/3, we need to find a common denominator first.

To subtract mixed numbers with unlike denominators, we follow these steps:

Convert each mixed number to an improper fraction.

Find a common denominator for the two fractions.

Subtract the numerators and write the result over the common denominator.

Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.

Let's apply these steps to the problem:

7 5/8 - 5 1/3

Step 1: Convert each mixed number to an improper fraction.

7 5/8 = (87 + 5)/8 = 59/8

5 1/3 = (35 + 1)/3 = 16/3

Step 2: Find a common denominator for the two fractions.

The least common multiple of 3 and 8 is 24, so we'll use 24 as the common denominator.

59/8 = (593)/(83) = 177/24

16/3 = (168)/(38) = 128/24

Step 3: Subtract the numerators and write the result over the common denominator.

177/24 - 128/24 = 49/24

Step 4: Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.

49/24 is already in its simplest form, so the final answer is 49/24.

Therefore, the correct result of 7 5/8 - 5 1/3 is 49/24, not 245.

To know more about equation,

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Answer:

Hoover flew Spitfires in the United States Army Air Forces during World War II and was shot down in 1944 off the coast of France. He was held for over a year in a German POW camp before eventually escaping and flying to safety in a stolen enemy aircraft. He then worked as a United States Air Force and civilian test pilot after the war, flying chase for the Bell X-1 supersonic flight, and as a flight instructor for North American Aviation during the Korean War.

He is best known as an air show display pilot, who flew for nearly 50 years until his retirement in 1999.[1] Known as the "pilot's pilot", Hoover revolutionized modern aerobatic flying and has been described in many aviation circles as one of the greatest pilots of all time.

Step-by-step explanation:

pls give me brainless

Try math-way, it gives you the answers to stuff in mathematics, in this case algebra. Also there's no - between the two words, I had to do this because of brainly.

Answer:

5870.23

The digit 3

Step-by-step explanation:

Answer:

9

11

17

25

Step-by-step explanation:

Input the x into the equation

Answer:

2×2+5=9

2×3+5=11

2×6+5=17

2×10+5=25

Answer:

Circles

Step-by-step explanation:

Think of a soup can sitting on its base on a kitchen counter.  The counter is an example of a plane (through) parallel to the base.  The points where the can and counter intersect form a circle.  Put a book on top of the can.  Again, the plane of the book is parallel to the base and the book and can intersect in a circle.

The same thing would happen if you cut the can open with a plane anywhere in between the two mentioned above, but it would make a mess!

The answer is circles. If you cut this shape in half you will get two circles.

Answer:

you are correct, they are supplementary

Step-by-step explanation:

Answer:

Yes! You are correct! The angles added together produce 180degrees, therefore, is supplementary. Just like the fellow above me said :)

Step-by-step explanation:

Answer: [tex]107^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle DOC=\frac{170+44}{2}=\boxed{107^{\circ}}[/tex]

Answer:

15p2 - p - 28

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

I think!! :)

7+5^2.4

=7+47.591348

=54.591348

Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong

Step-by-step explanation:

Answer:

x= 16

Step-by-step explanation:

First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)

7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.

Now, you have to get the x on one side to solve for x (so like x=__).

To do this, look at the equation as of now. 7x+14=6x+30.

We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.

Now we have  16=x (or x=16).

Answer:

a) 0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms

b) 0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.

c) 46.24 kilograms

d) The standard deviation would have to be of 3.41 kilograms.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 45 kilograms and a standard deviation of 1.2 kilograms.

This means that [tex]\mu = 45, \sigma = 1.2[/tex]

a. What is the probability that a filled bag will weigh less than 49.5 kilograms?

This is the pvalue of Z when X = 49.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49.5 - 45}{1.2}[/tex]

[tex]Z = 3.75[/tex]

[tex]Z = 3.75[/tex] has a pvalue of 0.9999

0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms

b. What is the probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms?

This is the pvalue of Z when X = 51 subtracted by the pvalue of Z when X = 48.5.

X = 51

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{51 - 45}{1.2}[/tex]

[tex]Z = 5[/tex]

[tex]Z = 5[/tex] has a pvalue of 1

X = 48.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48.5 - 45}{1.2}[/tex]

[tex]Z = 2.92[/tex]

[tex]Z = 2.92[/tex] has a pvalue of 0.9982

1 - 0.9982 = 0.0018

0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.

c. What is the minimum weight a bag of dog food could be and remain in the top 15% of all bags filled?

This is the 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.037 = \frac{X - 45}{1.2}[/tex]

[tex]X - 45 = 1.037*1.2[/tex]

[tex]X = 46.24[/tex]

46.24 kilograms.

d. CCI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that no more than 2% of all filled bags weigh more than 52 kilograms?

X = 52 would have to be the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98, so X when Z = 2.054. We would need to find the value of [tex]\sigma[/tex] for this.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{52 - 45}{\sigma}[/tex]

[tex]2.054\sigma = 7[/tex]

[tex]\sigma = \frac{7}{2.054}[/tex]

[tex]\sigma = 3.41[/tex]

The standard deviation would have to be of 3.41 kilograms.

Answer:

Kindly check explanation

Step-by-step explanation:

To construct confidence interval for difference in proportion ; the following conditions must be met :

1.) The selected samples must have been randomly chosen or selected from a larger population. This is essential in other to eliminate bias.

Each group of samples must be independently chosen. That is, the samples of bug customers chosen must be independent of the sample of small customers selected.

The population from which the samples are drawn must be considerably larger than the sample size. Sample size, n should be ≤ 10% of the population size.

p1 = 160 / 200 = 0.8 ; (1 - p1) = 0.2

p2 = 120 / 300 = 0.4 ; (1 - p2) = 0.6

(p1 - p2) ± Zcritical * sqrt[(p1(1 - p1) /n1) + (p2(1 - p2) / n2)]

Answer: A

Step-by-step explanation:

Answer:

12) F.0

13) 3/2

Step-by-step explanation:

12)

(5, 0) and (10, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-0)/(10-5)

m = 0

13)

(3, 2) and (-1, -4)

Slope:

m=(y2-y1)/(x2-x1)

m=(-4-2)/(-1-3)

m=(-6)/(-4)

m= 3/2

Answer:

The answer to this is 4 and 9 over 16.

Step-by-step explanation:

The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as

3 + (2 + 8)^2 ÷ 4 × (1/2)^4

using PEMDAS

parenthesis come first

3 + 10^2 ÷ 4 × (1/2)^4

exponential comes next

3 + 100 ÷ 4 × 1/16

3 + 25 × 1/16

3 + 25/16

(48 + 25)/16

73/16

4 9/16

9514 1404 393

Answer:

  14.14

Step-by-step explanation:

The diagonal of a square is √2 times the side length.

  AC = AB×√2

  AC = 10√2 ≈ 14.14

_____

The diagonal of a square is the hypotenuse of an isosceles right triangle. If the sides of that are s and the diagonal is d, the Pythagorean theorem tells us ...

  d² = s² + s²

  d² = 2s²

  d = (√2)(√s²) = s√2

This relation holds for any isosceles right triangle, not just for the diagonal of this square. It is useful to remember.

9514 1404 393

Answer:

  120 m²

Step-by-step explanation:

If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...

  A = 1/2bh

  A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area

__

Alternate solutions

Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...

  α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°

Then the area is ...

  A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C

  A = 1/2sin(α)·17·17 = 120 . . . m²

__

Using Heron's formula:

  s = (17 +17 +16)/2 = 25

  A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²

__

If you need to, you can compute the triangle's height from the Pythagorean theorem.

  a² +b² = c² . . . . generic Pythagorean theorem equation

  8² + h² = 17² . . . with relevant values filled in

  h² = 289 -64 = 225

  h = √225 = 15

Answer:

C.

Step-by-step explanation:

15 x 16=240 x 2= 480

57 x 20= 1140

1140 + 480 = 1620

Answer:

[tex]P(n>55)=0.1357[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size n=100

Sample space n'=36

Generally the equation for the mean number of times odds appears is mathematically given by

[tex]\=x_o=hp[/tex]

[tex]\=x_o=100*0.5[/tex]

[tex]\=x_o=50[/tex]

Generally the equation for standard deviation is mathematically given by

[tex]\sigma=(hp(1-p))^{1/2}\\\sigma=(50(0.5))^{1/2}[/tex]

[tex]\sigma=5[/tex]

Therefore probability to make wrong decision P(n>55)

[tex]P(n>55)=1-P(z<50.5/5)\\P(n>55)=1-P(z<1.1)\\P(n>55)=1-0.86[/tex]

[tex]P(n>55)=0.1357[/tex]

An approximation for the probability that you will make the wrong decision is 0.1587.

S=Number of time that the result was odd

n=100

p=0.5

Hence:

E[S]=100×0.5

E[S]=50

Standard deviation=√100×0.5×0.5

Standard deviation√25

Standard deviation=5

Using normal approximation to the binomial

P(S≥55)=P(S-50/5 ≥ 55-50/5)

P(S≥55)=1-P(z ≤ 1)

P(S≥55)=1-0.8413

P(S≥55)= 0.1587

Inconclusion  an approximation for the probability that you will make the wrong decision is 0.1587.

Learn more about probability here:https://brainly.com/question/24756209

Answer:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Step-by-step explanation:

The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.

✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):

Slope (m) = change in y/change in x

= (6 - 9)/(4 - 2)

= -3/2

m = -³/2

✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b

Thus,

9 = -³/2(2) + b

9 = -3 + b

9 + 3 = b

b = 12

The missing numbers are -³/2 and 12.

Which will give us:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Answer:

89 cm

Step-by-step explanation:

By Pythagoras Theorem,

c² = 80² + 39²

c² = 6400 + 1521

c² = 7921

c = 89 cm

Hope it helps :)

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area

Step-by-step explanation:

Answer:

of what

Step-by-step explanation:

Answer:

x(x − 6) (x + 5)

Step-by-step explanation:

this is the factored form of x^3 - x^2 - 30x

hope this helps and is right :)