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4 years ago

If f ( 4 ) = − 2 , write an ordered pair that must be on the graph of y = f ( x + 4 ) + 1

Mathematics

1 answer:

AlekseyPX4 years ago

4 0

We have been given that

$y = f ( x + 4 ) + 1\\
\\
f(4)=-2$

Now, we need to find an ordered pair that must be on the graph of

$y = f ( x + 4 ) + 1$

On substituting x=0 in the above equation, we get

$y = f ( 0 + 4 ) + 1\\
\\
y=f(4)+1\\
\\
\text{On substituting the value of f(4)= -2, we get}\\
\\
y=-2+1\\
y=-1$

Therefore, the required ordered pair is given by (0,-1)

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A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin

sleet_krkn [62]

Answer:

The probability that they each win six games is 0.225.

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

$P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}$

The probability that they each win six games is k=6.

$P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}$

$P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625$

$P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625$

$P(X=6)=0.225$

Therefore, The probability that they each win six games is 0.225.

3 0

3 years ago

If Hillary spent a total of 4 hours and 35 minutes studying for her Final, how much time, in minutes, did Claudio spend studying

Maru [420]

Hillary spent a total of 275 minutes studying for his Final.

What is unit conversion ?

When a unit conversion is performed, the same property is expressed in a different unit of measurement.

Here it is given that :

Hillary spent a total of 4 hours and 35 minutes studying for her Final

We known that :

1 hours equals 60 minutes

then,

4 hours and 35 minutes will be equals to = 4x60 + 35

= 240 + 35

= 275 minutes

Therefore, Hillary spent a total of 275 minutes studying for his Final.

Learn more on conversion of units here;

brainly.com/question/340715

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6 0

1 year ago

Alexndra earns $125 from her paper route each month but she spends about $20 each month on personal expenses.To pay for a school

Andrei [34K]

It would take Alexandria 8 months to earn the money.

125-20= 105 monthly earnings after personal expenses
800/105= 7.6 which rounds to 8.

8x105= 840

8 0

3 years ago

Read 2 more answers

A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.

soldier1979 [14.2K]

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

6 0

3 years ago

A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average ba

vichka [17]

Answer:

Part 1) The explanatory variable is the type of oven

It is a categorical variable

Part 2) The response variable is the baking time

It is a quantitative variable

part 3) two-sample z-test for proportions should be used for the test

Step-by-step explanation:

An explanatory variable is an independent variable that is not affected by all other variables. In this experiment, the type of oven is the input variable and it is not affected by any other variable

A categorical variable is one that has two or more categories without any intrinsic ordering of the categories. The type of oven is either gas or electric, so it is categorical.

A response variable is a dependent variable whose variation depends on other variables. The baking time in this experiment depends on the type of oven used

A quantitative variable is one that take on numerical values.

A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same. The alternate hypothesis (H1) is that the proportions are not the same.

5 0

3 years ago