A student rolls a fair die 10 times and obtained an even number 10 times. The student believes that the next roll will
be an odd number because "odds are due."
Is this correct?
Yes, if the die is fair, then an odd number is due because the probability will approach 50%.
No, an even number is due based on past experience.
Yes, it is certain that an odd number will be rolled next because it is impossible to roll an even number 11 times in
a row.
No, an even or odd outcome is equally likely for each roll, regardless of what has happened in the past.

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]3x+18=4x+10[/tex]

Subtract 18 from both sides:

[tex]3x+18-18=4x+10-18[/tex]

[tex]3x=4x-8[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-8-4x[/tex]

[tex]-x=-8[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]

[tex]x=8[/tex]

Answer:

5=y-intercept

Step-by-step explanation:

the y intercept point is when y has a number but x is 0 so we see what is y (f(x)) and it is 5

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The constant of an equation is simply the number at the end without a variable. It is called a constant because it is the only term that doesn't change if you plug in a random x value. So:

The constant of 5a^2 + a - 1 is -1

The constant of 3x^2-x +1 is +1

The constant of y^2-2y+2 is +2

and the constant of m^2 +2m -2 is -2.

Hope this helped!

Answer:

Step-by-step explanation:

If EC is a bisector of AC and CD, then AC is equal to CD.

Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;

3x+6 = 2x+14

subtract 6 from both sides

3x+6-6 = 2x+14-6

3x = 2x+8

subtract 2x from both sides

3x-2x = 2x+8-2x

x = 8

Hence the value of x is 8

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

Answer:

3 degrees in 1 hour

Step-by-step explanation:

.75 degrees

-----------------

1/4 hours

Multiply the top and bottom by 4

.75 degrees *4

-----------------

1/4 hours*4

3 degrees

------------------

1 hour

100 x 0.64 = 64.

All you have to do is multiply the numbers as if there wasn’t a decimal.

Then you add a decimal after 2 numbers.

.64 has a decimal after 2 numbers so your answer would have a decimal after 2 numbers also.

So when you get 6400 you out a decimal after 00.

That gives you 64

Answer:

x/2 - 5 = 18

Step-by-step explanation:

Answer:

17.2

Step-by-step explanation:

Answer:

The answer is 17.2

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Hey there!

[tex]-9\frac{1}{6}+7[/tex]

After that, multiply the whole number by the denominator and then add the numerator after you multiply.

[tex]-\frac{55}{6}+1[/tex]

[tex]9*6=54+1=55[/tex]

Now add the negative sign to 55.

[tex]\frac{-55}{6}+7[/tex]

[tex]\frac{-13}{6}[/tex]

Now simplify.

[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

11.75

Step-by-step explanation:

(32°F − 32) × 5/9 = 0°C

Answer: 2/6

Step-by-step explanation:

Answer:

[tex]\frac{2}{6}[/tex]

Step-by-step explanation:

In order to create an equal ratio to [tex]\frac{1}{3}[/tex], we need to find a constant to multiply both the numerator and the denominator by.

Let's do 2.

[tex]1\cdot 2 = 2\\\\3\cdot 2 = 6\\\\[/tex]

So:

[tex]\frac{2}{6}[/tex]

Hope this helped!

Answer:

odk

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

Answer:

positive slope relationship.

Step-by-step explanation:

When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.

For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.

Please check the attached image for a positively correlated curve

Exact Form: 47/50

Decimal Form: 0.94

Answer:

7.2 units

Step-by-step explanation:

Coordinates of city A = (0, 0)

Coordinates of city B = (6, 4)

Use the distance formula to find the distance between the two cities as follows:

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(0, 0) = (x_1, y_1) [/tex]

[tex] B(6, 4) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] AB = \sqrt{(6 - 0)^2 + (4 - 0)^2} [/tex]

[tex] AB = \sqrt{(6)^2 + (4)^2} [/tex]

[tex] AB = \sqrt{36 + 16} = \sqrt{52} [/tex]

[tex] AB = 7.2 [/tex] (nearest tenth)

Answer:

Step-by-step explanation:

Given that:

the perimeter of the fencing (rectangle)  = 200

Let recall that the area equation of a rectangle = L × w

The perimeter now = 2(L + w)

The perimeter = 2L + 2w

∴

200 = 2L +2w

Dividing both sides by 2

100 = L + w

Making Length L the subject; we have:

- L = -100 + w

L = 100 - w

Thus;

A(w) = (100 - w) w

and the domain of the function is (0,100)

Answer:

The correct option is;

Reflection over the y-axis

Step-by-step explanation:

An even function is a function that satisfies the following function equation;

f(x) = f(-x)

Therefore, for an even function, we have;

f(x) - f(-x) = 0

Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x

Therefore, the symmetry of an even function is about the y-axis

However, an odd function is a function that satisfies the following function equation;

f(-x) = -f(x)

Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;

f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).

Answer:

15 dollars

Step-by-step explanation:

Answer:

-10 if moving to left 10 if moving to the right

Step-by-step explanation:

The difference is 10 because if you go from 0 to 5 and then go to -5 you're skipping 10 units to the left go there if you're going right it's positive 10 if you're going left it's negative -10

The difference is 10.

5 - (-5) = 10.

you are subtracting a negative number.

That basically means adding.

a trick to that is using the two subtraction symbols to make a plus.

I added an image in case that didn’t make sense!