when f(x) is greater than 0

Testing the conditions, we get that [tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.

For each person sampled, there are only two possible outcomes. Either they believe in Hell, or they do not. The probability of a person believing in hell is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial distribution:

Probability of x successes on n trials, with p probability.

If [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], it can be approximated to the normal distribution.

In this problem:

Then

[tex]np = 100(0.58) = 58 \geq 10[/tex]

[tex]n(1 - p) = 100(0.42) = 42 \geq 10[/tex]

[tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.

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I think it is B

It makes the most sense to me to do that

Answer:

1.25 or 1 1/4

Step-by-step explanation:

1 ounce is 0.0625 pounds

therefore 20 oz = 1.25 or 1 1/4

Answer:

Click on the 2

Step-by-step explanation:

__________

[tex] \: [/tex]

f(x) = -3x - 1

g(x) = 2x + 2

Soo :

f(2) = -3(2) - 1

f(2) = -6 - 1

f(2) = -7✔

.

g(-2) = 2(-2) + 2

g(-2) = -4 + 2

g(-2) = -2✔

Answer:

80 m High and 157 m away

Step-by-step explanation:

Cos(27)=x/176

x= 156.8 m

Sin(27) = y/176

y = 80

Answer:

my brother said it was  

Step-by-step explanation:

1400.053...

Answer:

Sean paid 0.25 more cents than Cal.

Step-by-step explanation:

Cal's problem: 2.4 * 2.55 = 6.12

Sean's problem: 2.6 * 2.45 = 6.37

Answer:

I think 0.25

Step-by-step explanation:

Multipled 2.4 and 2.55 then multipled 2.6 and 2.45. I got 6.12 and 6.37 Then subtracted them and got 0.25

Answer: Obtuse, Right, Acute

Step-by-step explanation:

ABC: 5²+ 7² = 10²

25 + 49 = 100

c is greater so it is obtuse.

JKL: 12² + 35² = 37²

144 + 1225 = 1369

1369 = 1369

legs are equal to c so it is right.

PQR: 13² + 10² = 16²

169 + 100 + 256

269 = 256

c is less so it is acute.

Answer:

9p+8

Step-by-step explanation:

p+8p= 9p

6+2= 8

9p+8

Answer:

Step-by-step explanation:

(p+6) + (8p+2)

(p+8p) + (6+2)

9p + 8

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

9514 1404 393

Answer:

  27

Step-by-step explanation:

You want to find x when c = 120.

  120 = x^2 -24x +39

  x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form

  (x -27)(x +3) = 0 . . . . .  .factor it

Solutions are ...

  x = 27, x = -3 . . . . . values of x that make the factors zero

The number of flags manufactured for a cost of $120 is 27 flags.

Answer: 3

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.

Answer: C.

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

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Answer:

y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]

Step-by-step explanation:

Calculate the slope m of BC using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )

[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute A (3, 8 ) into the partial equation

8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]

y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line

The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.

The equation of the straight line is represented by

y = mx+c

where m is the slope , and c is the intercept on y axis.

The equation of the line BC for points B(7,5), and C(2,3) is

y- y' = m(x-x')

m = 2/5

and c =

y-5 = (2/5)x - (14/5)

y = (2/5)x+(11/5)

The slope of the line perpendicular rot this line is given by

as the product of two perpendicular lines should be -1

m = -5/2

y = (-5/2)x +c

8 = (-15/2) + c

8 +(15/2) = 0

31/2 = c

Therefore the equation for a line passing through point A and perpendicular to BC is

2y = -5x +31

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Answer:

Coordinates A and B: (1, 0) and (3, 0)

Coordinates of P: (0, 3)

Coordinates of Q: (2, -1)

Step-by-step explanation:

You're pretty much given the x-intercepts from the original equation.

y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,

0 = (x - 1)(x - 3).

and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:

0 = (1 - 1)(1 - 3)

0 = 0 * (-2)

So there are your x-intercepts, points A and B.

Now,

Expand the brackets of the equation.

y = (x - 1)(x - 3) becomes

y = x^2  -  4x  + 3

You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:

y = 0^2 - 4*0 + 3

y = 0 - 0 + 3

y = 3

So, we have our y-intercept (0, 3).

Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a

Taking our expanded equation: x^2 - 4x + 3

which is of the form ax^2 + bx + c

So we find the values of a, b and c and input the values into the equation

a = 1

b = -4

c = 3

So, inputting these into the vertex equation, gives:

-(-4) / 2 * 1

4 / 2

2

So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:

y = 2^2 - 4*2 + 3

y = 4 - 8 + 3

y = -1

So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).

Answer:

  Answer B    5.5x + 9

Step-by-step explanation:

Perimeter is the distance around the three sides of the triangle

P = (0.3x + 24) + (5x) + (0.2x - 15)

P = (0.3x + 5x + 0.2x) + (24 - 15)

P = 5.5x + 9

9514 1404 393

Answer:

  400 minutes

Step-by-step explanation:

The cost of the first plan is ...

  A = 14 + 0.15m . . . . . . . . where m is the number of minutes used

The cost of the second plan is ...

  B = 30 + 0.11m

The costs will be equal when ...

  14 +0.15m = 30 +0.11m

  0.04m = 16 . . . . . . . . . . . . . subtract 14+0.11m from both sides

  m = 400 . . . . . . . . . . . . . . . divide by 0.04

The plans will have the same cost for 400 minutes of calls.

Answer:

48

Step-by-step explanation:

6 + 14 ÷ 7

= 8

= 8 _ 2× 3

= 8_ 6

=8×6

=48

9514 1404 393

Answer:

  b)  31%

Step-by-step explanation:

95% of the normal distribution is between Z values of ±1.96.

99% of the normal distribution is between Z values of ±2.576.

The change from a 95% interval to a 99% interval widens the range by ...

  (2.576/1.96 -1) × 100% ≈ 31.4%

The width of the interval increases about 31%.

__

Compare the two attachments. The tail area of 0.05 means the central area is 0.95. Similarly, the tail area of 0.01 means the central area is 0.99.

_____

Additional comment

As always, when you're dealing with percentages, you need to understand what the base value is. Here, when we're talking about 95% and 99% confidence intervals, we're not talking about the numbers 0.95 and 0.99 and the increase from 0.95 to 0.99.

Rather we're talking about areas under the normal probability distribution curve, and the Z-values associated with those intervals. The change in interval width refers to the change in Z-values associated with the areas of 0.95 and 0.99.

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl

Answer:

S, S, S

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Lets plug these points in:

[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]

I made an f in math last year

Answer:

a) 1.8

b) 11.8

c) 23.6

Step-by-step explanation:

1) 2.4+1.6+3.2+0.3+1.5=9

you divide 9 by 5 because that is the number of elements in the data.

9/5=1.8

2) the total would be 50 more because 5*10=50.

50+9=59

59/5=11.8

3) i think this question is referencing the previous question.

59*2=118

118/5=23.6