Is 2/4 greater than 1/2 by a factor of 2, or are they the same number?

Answer:

We don't have sufficient evidence to support the claim

Step-by-step explanation:

Null hypothesis:

[tex]H_0: p = 0.276[/tex]

Alternate hypothesis:

[tex]H_1: p < 0.276[/tex]

The P-value is 0.3064

0.3064 probability of finding a sample proportion lower than the one found.

The p-value is higher than the significance level of 0.05, which means that there is no sufficient evidence to support the claim.

Answer:

perpendicular, negative reciprocal

Step-by-step explanation:

a negative and a positive slope. 1/5 is the opposite of 5

Answer:

Step-by-step explanation:

(x+3)(x-9)

multiply x with whole (x-9) and 3 with (x-9)

=x(x-9)+3(x-9)

multiply the brackets

=x^2-9x+3x-27

add or subtract like terms

=x^2-6x-277   is a required answer

Answer:

[tex] {x}^{2} - 6x - 27[/tex]

Step-by-step explanation:

[tex](x + 3) \times (x - 9)[/tex]

[tex]x(x−9)+3(x−9)[/tex]

[tex]x \times x+x(−9)+3(x−9)[/tex]

[tex] {x}^{2} +x(−9)+3x+3(−9)[/tex]

[tex] {x}^{2} −9x+3x−27[/tex]

[tex] {x}^{2} - 6x - 27[/tex]

Answer:

Step-by-step explanation:

Substitute the value for y or x into the equation thats listed with it.

For the first one, substitute 3 in place of y.

3x + 6 y = 60 turns into

3x + 6 * 3 = 60

3x + 18 = 60

3x = 60-18

3x = 42

x = 42/3

x = 14

Apply the same to the other equations

10x + 4y = 70 turns into

10 * 5 + 4y = 70

Then solve for y

Answer:

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Conditional probability:

Event A: Leaves on time

Event B: Raining

Probability that the flight will be delayed is 0.08.

So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]

The probability that it will not rain and the flight will leave on time is 0.82.

0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:

[tex]P(A \cap B) = 0.1[/tex]

What is the probability that it is raining if the flight leaves on time?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Answer:

[tex]area = \frac{30}{360} \times \pi(17)^{2} \\ =75.66002307395 \\ = 76in ^{2} [/tex]

Answer:

2.- 8.0 in.

Step-by-step explanation:

8.1 in

Step-by-step explanation:

A^2+B^2=C^2

49+16= 65

square root of 65≈8.06

round up to 8.1

Answer:

There is either No Answer or

B See if the computer or your maker will take B, but the real answer is that there is no answer.

Step-by-step explanation:

Prime polynomials cannot be factored.

x^2 + 4 can't be factored.

x^2 - 4 can be factored and is not prime

x^2 - 4 = (x + 2)(x - 2)

A) is not prime

3x^2(x + 1) - 2(x + 1)       x + 1 is a common factor

(3x^2 - 2)(x + 1)

B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is        (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.

C) 3x^2(x + 1) - 2(x + 1)   x + 1 is a common factor. C is not the answer.

D D is done the same way that A and C are done.

4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.

So the answer might be B. It doesn't look like it factors the same way as the other three

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

A prime polynomial is a polynomial that can't be factored. Hope I helped

Answer:

1/2 or 2/4 or 8/16 or 16/32....

Step-by-step explanation:

Answer:

0.9836

Step-by-step explanation:

Answer:

[tex]for \: independent \: events : \\ P(AUB) = P(A) + P(B) \\ P(AUB) = \frac{2}{3} + \frac{1}{5} \\ = \frac{13}{15} [/tex]

Step-by-step explanation:

P(AUB) is P(A) + P(B) because P(AnB) is zero.

[tex]P(AUB) = P(A) + P(B) - P(A{ \huge{n} }B) \\ P(AUB) = P(A) + P(B) + 0[/tex]

Answer:

A = 25pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi

Answer:

Area of circle is 25 π Or 78.5 .

Step-by-step explanation:

We know that

Area of circle = π × r ²

Here,

π = 3.14

r = 5

Substituting the given values in this formula

Area of circle = π × ( 5 ) ²

Area of circle = π × 25

multiplying the values, we get

Area of circle = 25 π Or 78.5

Answer:

90

Step-by-step explanation:

x

−

12

y

=

−

210

=

=

−

210

x

−

6

y

=

90

=

=

90

x

=

=

90

Answer:

A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}

While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.

1)  The weight of bags of apples, with 10 apples in each bag.

Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.

2) The number of times required for a modem to dial an internet provider before connecting.

Same as before, here we can have only a whole number of attempts, so this set is discrete.

3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.

Here we will have an average of 10 integer numbers:

[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]

so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.

4)  A pair of dice is rolled, and the sum to appear on the dice is recorded.

Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.

9514 1404 393

Answer:

  √7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides. Let x represent the unknown side. Then we have ...

  x² +9² = (√88)²

  x² +81 = 88

  x² = 7 . . . subtract 81; next, take the (positive) square root

  x = √7 . . . . the third side

9514 1404 393

Answer:

  D.  reals ≥ -4

Step-by-step explanation:

The range is the vertical extent of the graph. Here the graph goes down to -4 and includes all numbers greater than that. The range is ...

  All real numbers greater than or equal to -4

Perimeter = 2(length+breadth)

326= 2(98+b),

breadth= 65 cm

Area of rectangle = l×b = 98×65= 6370cm²

Answer:

b. (4,14)

Step-by-step explanation:

Juan earns $7 per hour at his job.

This means that the ordered pairs showing his earnings y in x hours, (x,y), have the following format:

(x,7x).

Then, the ordered pairs are:

(1,7)

(2,14)

(3,21)

(4,28)

...

Thus, the ordered pair (4,14) would not appear on the graphic.

Answer:

C:  Square centimeters

Step-by-step explanation:

We are measuring length here, not volume, so recognize that this fact eliminates Answer B.  The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C:  Square centimeters.

Answer:

Die is not fair given that  Pvalue< 0.05, hence we reject Null hypothesis

a) H0: Die = fair

b) Ha : Die ≠ fair

c) df = 5

Step-by-step explanation:

The expected frequency of every face values = 20

a) state Null hypothesis

H0: Die = fair

b) Alternate Hypothesis

Ha : Die ≠ fair

c) degree of freedom

df = ( n - 1 )

   = ( 6 - 1 ) = 5

n = sample size ( number of faces a die has )

Note : After conducting hypothesis test

Pvalue ≈  0.0026

test statistic ≈ 18.30

Hence we can conclude that die is not fair given that  Pvalue < 0.05, hence we reject Null hypothesis

9514 1404 393

Answer:

  d.  f(2) < g(2)

Step-by-step explanation:

The attached table and graph shows how the functions relate for the various x-values of interest. The true statement is ...

  f(2) < g(2)

  -3 < 0

Answer:

Step-by-step explanation:

Answer:

B. 1 unit

Step-by-step explanation:

the circumference of a circle is

Cc = 2×pi×r

r = radius = diameter / 2

now we need to find the diameter (= 2×r) of a circle with the circumference of pi.

=>

pi = 2×pi×r

1 = 2×r = diameter

so, the diameter is 1 unit.

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

..........................

Answer:

D.90

the answer is 90 because it only flips once

Answer:

y = -x +3

Step-by-step explanation:

first find the slope

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

m = (5-1) / (2--2)  = -1

note that it does not matter which points you chose to be second or first

use point-slope equation

y - y1 = m ( x - x1 )

y - 1 = -1 ( x - 2)

y = -x +2 + 1

y = -x +3

please if you find my answer helpful mark it brainiest

Answer:

y=-x+3

Step-by-step explanation:

Gradient(m)= y1-y2÷x1-x2

=1-5÷2-(-2)

=-4÷4

=-1

therefore m= -1

y-y1=m(x-x1)

y-1=-1(x-2)

y=-x+2+1

y=-x+3

Answer:

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Failed business in the Midwest.

Event B: Chemical industry.

Probability of failed business being in the Mid-West:

7900 out of 63509. So

[tex]P(A) = \frac{7900}{63509}[/tex]

Probability of a failed business being a chemical industry in the Mid-West.

1270 out of 63509. So

[tex]P(A \cap B) = \frac{1270}{63509}[/tex]

What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1270}{63509}}{\frac{7900}{63509}} = \frac{1270}{7900} = 0.1608[/tex]

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.