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Answer:

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.

Step-by-step explanation:

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

Mean of 127, standard deviation of 10.

For the sample mean:

By the Central Limit Theorem, mean is 127, while the standard deviation is [tex]s = \frac{10}{\sqrt{4}} = 5[/tex]

According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?

By the Empirical Rule, within 2 standard deviations of the mean. So

127 - 2*5 = 117 mg/dl

127 + 2*5 = 137 mg/dl.

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.

Answer:

Step-by-step explanation:

(x + 3)² - x - 3 = (x +3 )² - (x + 3)

                      = (x +3)(x + 3) - (x + 3)*1

                      = (x + 3) [ x + 3 - 1]

                      = (x + 3 (x + 2)

Answer:

i. 82°

ii. 14°

iii. 28°

iv. 47°

v. 58°

Step-by-step explanation:

The trigonometric functions are given as:

Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Thus,

i. adjacent leg / hypotenuse = 0.139 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.139

  = 82°

ii. opposite leg / adjacent leg = 0.249 = Tan θ

θ = [tex]Tan^{-1}[/tex] 0.249

  = 14°

iii. opposite leg / hypotenuse = 0.469 = Sin θ

θ  = [tex]Sin^{-1}[/tex] 0.469

   = 28°

iv. adjacent leg / hypotenuse = 0.682 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.682

   = 47°

v. opposite leg / hypotenuse 0.848 = Sin θ

θ  = [tex]Sin^{-1}[/tex]  0.848

   = 58°

I'm not confident with the Mean but the rest should be correct.

Mean - 709.6 ( All numbers added up then, divided by the numbers there are)

Median - 65 ( Number in the middle)

Mode - 65 ( Most repeated number)

Range - 8 ( Greatest number - Smallest number)

Answer:

- 9

Step-by-step explanation:

[tex]F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9[/tex]

Answer:

23/25 of the class used either color pencils or crayons

Step-by-step explanation:

56% used color pencils

36% used crayons

36% + 56% = 92%

turn 92% into a fraction = 92/100

simplify = 23/25

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

L.C.M =8

5-2=3

=3/8

Answer:

3/8 of the box is left.

Step-by-step explanation:

Answer:

3/8 is left over

Step-by-step explanation:

First we have to convert 1/4 to 3/8 to do this times 1/4 by two to get 2/8

Next add 3/8 and 2/8 which equals 5/8

Finally, we need to subtract 5/8 from 8/8 to get 3/8

Hope this helped!!

Answer: The number of times a yellow cube will be drawn is 390 times.

Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.

Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.

78/240 = x/1200

Multiply 78 and 1200, which is 93,600.

Divide that by 93,600, which is 390.

Answer:

3 lessons

Step-by-step explanation:

available hours: 4 hrs 30 min

time per lesson: 1 hr 30 min

2 lessons is 3 hrs

which leaves even time for one more lesson after 2 lessons

So, she can schedule 3 lessons in 4 hrs in 30 min

Answer:

7 weeks

Step-by-step explanation:

add 10 to 125 then divide by 20

Answer: he will need to save to 7 weeks

Step-by-step explanation:

125+10=135

he needs 135 to get the kit

y=20x

135=20x

6.75=x

he will need to save to 7 weeks

Answer:

Step-by-step explanation:

he volume of the topsoil is

28 ft by 21 ft by 5/15 ft = 245 cubic feet

There are 27 cubic feet in one cubic yard.

245/27 = 9.074074074.... = 9.074

Need 9.25 = 9 and 1/4 cubic yards

Answer:

y = 3x+4

Step-by-step explanation:

slope formula is changes of y over the changes of x

[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]

m is slope in y = mx+b.

Substitute the coordinate points in.

[tex] \large{m = \frac{7 + 2}{1 + 2} } \\ \large{m = \frac{9}{3}} \\ \large{m = 3}[/tex]

Since we know the slope, we rewrite by substituting m = 3 in the slope-intercept form.

[tex] \large{y = mx + b} \\ \large{y = 3x + b}[/tex]

Then we either substitute one of given coordinate points to find the value of b. I will substitute (1,7) in the equation.

[tex] \large{7 = 3(1)+ b} \\ \large{7 = 3 + b} \\ \large{7 - 3 = b} \\ \large{4 = b}[/tex]

Then rewrite the equation from y = 3x+b by substituting the value of b.

[tex] \large{y = 3x + b} \\ \large{y = 3x + 4}[/tex]

Answer:

∠ S = 58° , ∠ T = 64° , ∠ Q = 58°

Step-by-step explanation:

the sum of the 3 angles in Δ DQS = 180° , that is

∠ Q + ∠ 1 + 90° = 180°

∠ Q + 32° + 90° = 180°

∠ Q + 122° = 180° ( subtract 122° from both sides )

∠ Q = 58°

given ST = TQ , then Δ STQ is isosceles with base angles congruent, that is

∠  S = ∠ Q = 58°

the sum of the 3 angles in Δ STQ = 180° , that is

∠ T + ∠ S + ∠ Q = 180°

∠ T + 58° + 58° = 180°

∠ T + 116° = 180° ( subtract 116° from both sides )

∠ T = 64°

Answer:

The answer of this question is D

Step-by-step explanation:

Time 2

Answer:

The probability is "0.9908". The further explanation is provided below.

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu=2025[/tex]

Standard deviation,

[tex]\sigma =230[/tex]

Sample,

[tex]n=60[/tex]

According to the question,

The probability of selecting a sample of 60 one-bedroom apartments will be:

=  [tex]P(\frac{\bar{x}- \mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{1955-2025}{\sqrt{\frac{230}{\sqrt{60} } } } )[/tex]

=  [tex]P(Z\geq -2.36)[/tex]

=  [tex]1-P(Z \leq -2.36)[/tex]

After placing the values, we get

=  [tex]0.0092[/tex]

or

=  [tex]09908[/tex]

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the proportional relationship:

We have x = 3, y = 24, then k is:

The table will look as:

Correct choice is C

Answer:

c

Step-by-step explanation:

Answer:

<5

Step-by-step explanation:

angle correspondant

Answer:

I believe its c

Step-by-step explanation:

Answer:

(4, -11)

Explanation:

The coordinate's signs just change (negative becomes positive and vise versa)

Answer:

91090.1891892

Step-by-step explanation:

rounded it would be 91090

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

7+4=11

Answer:

60 minutes

Step-by-step explanation:

She painted 2/5 of the wall.

She still needs to paint 3/5 of the wall.

3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.

1.5 * 40 minutes = 60 minutes.

Answer: 60 minutes

Answer:

15 weeks

Step-by-step explanation:

I just answered this one not too long ago

It will take 15 weeks for Emanuel to lose at most 251 pounds.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.

If he plans to burn enough calories to lose 3 pounds per week,

We need to find that how many weeks will pass before Emanuel is at most 251 pounds,

So, let the number of weeks be x,

We will use here the concept of equations solving,

So, establishing the equations,

296 - 3x = 251

296 - 251 = 3x

45 = 3x

x = 15

Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.

Learn more about equations, click;

https://brainly.com/question/29538993

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Answer:

Angle QOP

Angle QON

Note : O is the vertex

So it should be placed in the middle when you write .

The coordinates of point R' are given as follows:

(8,1).

The four translation rules are defined as follows:

The coordinates of points Q and Q' are given as follows:

Q(6,3), Q'(8,3).

Hence the translation rule is given as follows:

(x,y) -> (x + 2, y).

The coordinates of point R are given as follows:

R(6,1).

Hence the coordinates of point R' are given as follows:

(6 + 2, 1) = (8,1).

More can be learned about translation at brainly.com/question/29209050

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