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3 years ago

About ______% of the area is between z= -1 and z= 1 (or within 1 standard deviation of the mean)? How do you solve this?

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

Answer:

68%

Step-by-step explanation:

This is the empirical rule which is used to remember the percentage of values that is within a band of the mean. We say:

68% of the data fall within 1 standard deviation of the mean
95% of the data fall within 2 standard deviation of the mean, and
99.7% of data falls within 3 standard deviations of the mean

Clearly, from the empirical rule, we see that about 68% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean)

You might be interested in

Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I

lapo4ka [179]

Answer:

48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

(10y + x)/3 + 20 = 10x + y
(10y + x)/3 = 10x + y - 20
10y + x = 3(10x + y - 20)
10y + x = 30x + 3y - 60
30x - x + 3y - 10y = 60
29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

29*3 - 7y = 60
87 - 7y = 60
7y = 27
y = 27/7, discarded as fraction.

29*4 - 7y = 60
116 - 7y = 60
7y = 56
y = 8

So the age is 48.

6 0

1 year ago

It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the recommended cooking time for

Alisiya [41]

Answer:

(a) T = (15 + 16p) minutes

(b) It will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

Step-by-step explanation:

(a) To determine the total time T needed to preheat the oven and then bake a turkey weighing p pounds

We will sum the time needed to preheat the oven to the time needed to bake the turkey.

From the question,

It takes 15 minutes to preheat the oven to 325 degrees;

Also,

It takes 16 minutes per pound to bake a turkey in the preheated oven.

That is, to bake a turkey weighing p pounds in the preheated oven, it will take

p pounds × 16 minutes / pound = 16p minutes

Hence, the total time T needed to preheat the oven and then bake a turkey weighing p pounds is

T = 15 minutes + 16p minutes

T = (15 + 16p) minutes

This is the formula that express the total time T, in minutes, needed to preheat the oven and then bake a turkey

(b) To find the approximate time required to prepare a turkey weighing 14 pounds.

From the formula in (a)

T = (15 + 16p) minutes

where p is the weight in pounds of a turkey

Then,

T = 15 + 16(14)

T = 15 + 224

T = 239 minutes

Hence, it will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

7 0

3 years ago

Please help me, thank you so much! :)

kakasveta [241]

Answer:

the answer is 9 (^_^)

Step-by-step explanation:

6 0

3 years ago

in rectangle PQRS, shown below, the diagonal PR is 15 meters. if the sine of angle SPR is 7/10, what is the value of RS?

lora16 [44]

Answer:sin =perpendicular/hypotenuse

Step-by-step explanation:

Sin angle is given use tan theta or cos theta to find the RS

5 0

3 years ago

Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 f

lana [24]

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

<u>-TheUnknownScientist</u>

7 0

3 years ago

About​ ______% of the area is between z= -1 and z= 1 ​(or within 1 standard deviation of the​ mean)? How do you solve this?

About ______% of the area is between z= -1 and z= 1 (or within 1 standard deviation of the mean)? How do you solve this?