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4 years ago

which of the following represents the set of possible rational roots for the polynomial shown below? x^3+5x^2-8x-20=0

Mathematics

2 answers:

FrozenT [24]4 years ago

4 0

Answer:

x - -5.78526086, -1.50769051, 2.29295138

Step-by-step explanation:

graph each side of the equation. the solution si the x-value of the point of intersection.

Marrrta [24]4 years ago

3 0

Answer:

{1,4,5,10,20}

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Three random question!

PIT_PIT [208]

Answer:

If the world is unfair to everybody isn't it still fair.

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

For women aged 19-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation

Mrac [35]

Answer: p = 0.00714

Step-by-step explanation:

Since the population standard deviation of the distribution is known, the z test ( which produces the z score) is the perfect test for finding the probability of the data set in the question.

From the question,

Population mean (u) = 114.8

Sample mean (x) = 121.5

Population standard deviation (σ) = 13.1

Sample size (n) = 23

The z score formulae is given below as

Z = x - u/σ/√n

Z = 121.5 - 114.8/(13.1/√23)

Z = 6.7/(13.1/√23)

Z = 6.7/2.731

Z = 2.45.

The question is interested in knowing the probability of mean systolic blood pressure greater than 121.5.

This implies that we are looking for the probability at which our z score is greater than 2.45: P(z>2.45)

The z score (z=2.45) has divided the distribution into two regions, z< 2.45 ( area to the left of the distribution) and z>2.45 ( area to the right of distribution).

Hence, p(z>2.45) + p(z<2.45) = 1

To get a the probability, we have to use a standard normal distribution table.

The table we have here gives probability of the distribution to the left ( that's area towards the left), hence we need to find p(z<2.45) first

From the table p(z<2.45) = 0.99286

But p(z>2.45) = 1 - p(z<2.45)

p(z>2.45) = 1 - 0.99286

p(z>2.45) = 0.00714

8 0

3 years ago

By what percentages are Sweden's high category and medium category less than the United States' categories (to the nearest perce

Korolek [52]

REQUIRED CHART :

The required chart has been attached

Answer:

31.8%

30.0%

Step-by-step explanation:

Required :

To obtain the Difference between Sweden and United States high and medium categories to the nearest %

Sweden :

High category = $23.51

Medium category = $15.73

United States :

High category = $34.48

Medium category = $22.46

Percentage Difference :

High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%

Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%

7 0

3 years ago

what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?

givi [52]

Refer to the diagram shown below.

Given:
m∠A = 19°
c = 15

By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835

cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828

Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)

6 0

3 years ago

I have a two digit number the sum of the digits is 12 the first digit is 4 Less Than 3 times the second what is my number

nignag [31]

Answer:

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12 Combine the left side

4y - 4 = 12 Add 4 to both sides

4y = 16 Divide by 4

4y/4 = 16/4

y = 4

=================

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

3 0

3 years ago