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3 years ago

True or false, areas under the standard normal curve cannot be negative, whereas z-scores can be positive or negative.

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

Answer:

True.

Step-by-step explanation:

We have been given a statement. We are asked to determine the given statement is true or false.

Statement: Areas under the standard normal curve cannot be negative, whereas z-scores can be positive or negative.

We know that area under the standard normal curve is equal to 1, so area under normal curve cannot be negative.

We know that a z-score represents that a data point is how many standard deviation above or below mean.

When a data point is less than mean, then z-score will be negative and when a data point is greater than mean, the z-score will be positive.

Therefore, our given statement is true.

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Find the amount in an account if 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months

storchak [24]

We have been given that in an account an amount of 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months.

We will use compound interest formula to find our answer.

$A=Pcdot(1+\frac{r}{n}) ^{nT}$ ,

Where, P= principle amount, A= amount after T years, n= period of compounding and r = interest rate (decimal).

Let us substitute our given values in our formula.

$A=7650(1+\frac{0.0915}{4} )^{(8.5\times4)}$

$A=7650(1+0.022875)^{34}$

$A=7650(1.022875)^{34}$

$A=7650\cdot 2.15758136398$

$A=16505.4974$

Therefore, after 8 years and 6 months our amount will be 16505.497.

7 0

3 years ago

Clare wants to mail a package that weighs 4 1/2 ponds what could be its volume in liters

Sati [7]

Answer:

The volume in liters is 2.041165665 liter.

Step-by-step explanation:

Given : Clare wants to mail a package that weighs $4\frac{1}{2}$ pounds.

To find : What could be its volume in liters ?

Solution :

We know that,

Pound (lb) is a unit of Weight used in Standard system.

Liter (l) is a unit of Volume used in Metric system.

To convert 1 pound into liter is

1 pound (lb) = 0.45359237 liter (l)

$4\frac{1}{2}$ pounds in simpler fraction is $\frac{9}{2}$

Converting into liter,

$\frac{9}{2}$ pound (lb)= $\frac{9}{2}\times 0.45359237$ liter (l)

$\frac{9}{2}$ pound (lb) = 2.041165665 liter (l).

Therefore, the volume in liters is 2.041165665 liter.

7 0

3 years ago

Solve each system of equations by graphing. y = 2x y = x + 1

yawa3891 [41]

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

$\tt y = 2x = 2(0) = \red{0}$

Step 2: Put x = 1 :-

$\tt y = 2x = 2(1) = \red{2}$

$\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}$

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

$\tt y = x + 1 = 1 + 0 = \red{1}$

Step 2: Put x = 1 :-

$\tt y = x + 1 = 1 + 1 = \red{2}$

$\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}$

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

8 0

3 years ago

Aliyah was counting her steps. It took her 1,317 steps to walk to the store, 561 steps to get to the park, and another 259 to ma

trapecia [35]

Answer:

Aliyah will take a total of 4274 steps.

Step-by-step explanation:

Given:

Number of steps from home to store = 1317 steps

Number of steps from store to park = 561 steps

Number of steps from park to friends house = 259 steps

So now we will find the Total number of steps from home to friends house.

Total number of steps from home to friends house can be calculated by adding Number of steps from home to store and Number of steps from store to park and Number of steps from park to friends house.

framing in equation form we get;

Total number of steps from home to friends house = $1317+561+259 = 2137\ steps$

Is same route is followed to home we can say that;

Total number of steps from friends house to home = 2137 steps.

So Total number of steps she will take next day will be equal to Total number of steps from home to friends house plus Total number of steps from friends house to home.

framing in equation form we get;

Total number of steps she will take next day = 2137 +2137 = 4274 steps

Hence Aliyah will take a total of 4274 steps.

3 0

3 years ago

What is the oppsite of 1/2

mr_godi [17]

Answer:

the reciprocal is 2/1

you just flip the denominator and numerator to get your reciprocal

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers