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3 years ago

Write the equation for the graphed function. Absolute value graph shifted left 3 units.

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

Answer:

Step-by-step explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

The parent function is f(f) = |x|. Since it needs to be shifted to the left, use the first rule above which is to subtract from the input inside the absolute value.

f(x) = |x-3|

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David wants to complete a hypothesis test with the least amount of probability for error. If he sets the significance level to 1

Brrunno [24]

Answer:

He could increase the sample size

Step-by-step explanation:

In hypothesis testing, the error associated with the test is affected by a number of factors. The first factor is the level of significance, alpha. This is the probability of type 1 error. The probability of rejecting the null hypothesis when it is indeed true.

The second factor is the size of the sample used. The larger the sample, the smaller the error since the characteristics of the sample will be closer to those of the entire population on which inference is being made

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3 years ago

Read 2 more answers

What is 1,000,000,000,000 as a power of 10?

alexandr1967 [171]

Answer:

1,000,000,000 as a power of 10, is: 10^12

Step-by-step Solution:

We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:

1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000

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3 years ago

Read 2 more answers

Which set of numbers has the largest variance?

trasher [3.6K]

Answer:

1) (1,3,4.7)

2) 6.8

3) the square root of the variance

4) has the same units as the underlying data

5) It has predictive power.

Step-by-step explanation:

From question one, it is possible to use an excel formula to calculate the variance of the set of numbers.

Now, to calculate the variance in an Excel sheet:

Make sure your data is in a single range of cells in Excel.

If your data represents the entire population, enter the formula as "=VAR. P(A1:A4). Since, we were given four variables

The variance for your data will be displayed in the cell.

i.e for set of numbers (7, 8, 9, 10)

variance = (VAR. P(A1:A4))

= 1.25

for set of numbers (1, 3, 4, 7)

variance = (VAR. P(A1:A4))

= 4.69

for set of numbers (4,2,1, 0)

variance = (VAR. P(A1:A4))

= 2.19

for set of numbers (1, 0, 2, 4)

variance = (VAR. P(A1:A4))

= 2.19

The set of numbers (1,3,4.7) indicates the largest variance from the foregoing.

2) What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?

Using the same method explained in question 1, the population variance of the following set of numbers 3,5,8,9,10 can be calculated as:

For the set of numbers (3, 5, 8, 9, 10)

Variance = (VAR. P(A1:A5)) since it contains five sets.

= 6.8

3) Variance can be defined as the average of the squared differences from the Mean. Therefore, Standard deviation is the square root of the variance which is given as:

$S= \sqrt{\frac{E^N_i(x_i-x)}{N-1} }$

where;

s = sample standard deviation

N = the number of observations

$x_i$ = the observed values of a sample item.

x= the mean value of the observations

4) Standard deviation is useful because it has the same units as the underlying data

5) Of all the characteristics of Standard deviation when relating to finance, Standard deviation do not possess predictive power.

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3 years ago

Consider circle C with radius 5 cm and a central angle measure of 60°. What fraction of the whole circle is arc RS?

skelet666 [1.2K]

Answer:

There are a total of 360° in any given circle, so an arc swept out by 60° of that 360° would make up 60/360 = 1/6 of the circle's circumference.

The formal for the circumference of a circle comes out of the definition of one of the most famous constants in mathematics: π. π is defined as the ratio between a circle's circumference and its diameter, or:

From this definition, we can multiply both sides of the equation by d to obtain

or, circumference is π times the diameter. To find the diameter, we just need to double the radius, giving us 5 * 2 = 10cm. Usually you'll see π approximated as 3.14, which is likely what they want you to use here. Using that approximation, we find the circumference to be 3.14 * 10 = 31.4 cm.

Finally, to get the length of that arc, we just need to take 1/6 of the circumference (since the arc sweeps out 1/6 of the circle), giving us 31.4 * 1/6 ≈ 5.2 cm.

Step-by-step explanation:

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3 years ago

one gallon of milk costs 3.60, but this cost is projected to increase 10% in the next 5 years. what is the projected cost of a g

Tju [1.3M]

3.60$ x (100%+10%)

=3.60$ x 110%

=3.60$ x 1.1

=3.96$ for a gallon of milk 5 years from now.

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3 years ago