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.
The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?
Answer:
7<x<31
Step-by-step explanation:
The third side of any triangle must be more than the difference between the other two sides.
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
Put them together.
7<x<31 (or) 31>x>7
7<x<31 are the possible values of x.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that side lengths of a triangle are 12, 19, and x units.
We need to find the value of x.
We know that the third side of any triangle must be more than the difference between the other two sides.
x is greater than difference of nineteen and twelve
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
From this we get the interval as
7<x<31 (or) 31>x>7
Hence, 7<x<31 are the possible values of x.
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Question 2
A laboratory did 36 blood tests on Monday, 43 on Tuesday,
29 on Wednesday, and 48 on Thursday. What is the mean
(average) number of blood tests the lab did each day?
answer choices :
o 45
o 42
o 39
0 33
Answer:
The answer is 39.
Step-by-step explanation:
The average is the total amount of blood tests divided by the number of days.
Total: 36 + 43 + 29 + 48 = 156 blood tests / 4 days = 39 blood tests per day.
Simplify (-3/5) divided by (7/6)
-18/35 is the answer to (-3/5) divided by (7/6)
Can anyone help asap please
Answer: 132
Step-by-step explanation:
Answer:
132 m
Step-by-step explanation:
[tex]C = \pi \: d = \frac{22}{7} \times 42 = 132 \: m \\ [/tex]
The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The length that separates the bottom 5% is of 4.87 centimeters.
The length that separates the top 5% is of 5.03 centimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.
This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]
Bottom 5%:
The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = -1.645*0.05[/tex]
[tex]X = 4.87[/tex]
The length that separates the bottom 5% is of 4.87 centimeters.
Top 5%:
The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = 1.645*0.05[/tex]
[tex]X = 5.03[/tex]
The length that separates the top 5% is of 5.03 centimeters.
The value of [-10] is?
A.11
B.-10
C.-9
Answer:
B = -10
Step-by-step explanation:
the answer is B = - 10
Answer:
b. -10
Step-by-step explanation:
help please ! order the side lengths GH , HI , IG from least to greatest
Answer:
IH < IG < HG
Step-by-step explanation:
To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.
First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.
PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW
9514 1404 393
Answer:
32 in²
Step-by-step explanation:
The area is given by ...
A = bh
A = (8 in)(4 in) = 32 in²
The area of the parallelogram is 32 square inches.
What are the coordinates of point A
Answer:
The coordinates of point A are (-4, 3)
hope it helps
Answer:
The coordinates of point A is (-4,3)
Step-by-step explanation:
(x,y)
X= -4
Y= 3
PLEASE HELP ME PLEASE!
Answer:
-4 and d
==============
Please give brainliest, I really want to rank up, thank you!
Answer:
x = d
x = -4
Step-by-step explanation:
not sure i tried
What fraction is less than 3/4?
Answer:1/2
Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%
2 0 IC : 7(x + 8) - 4(x + 10)
Answer:
3x+16
Step-by-step explanation:
(2/5)^3=
anybody help???
Answer:
8/ 125
Step-by-step explanation:
8/ 125
Answer:
8/125
Step-by-step explanation:
I think. you can use the app photo math
Find the common ratio of the geometric sequence 7,63,567, ...
Answer:
Step-by-step explanation:
Answer: 9
Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!
Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:
Answer:
ln(2) - ln(7)
Step-by-step explanation:
Logarithmic expressions are represented using ln or log keywords
The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
The expression is given as:
[tex]\mathbf{ln(2/7)}[/tex]
The quotient rule of logarithm states that:
[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]
So, by comparison:
a = 2, and b = 7
So, we have:
[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]
Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
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find the area ojefwo rgw hercpx
Answer:
3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14
Step-by-step explanation:
What is the difference of 506 and 297
Answer:
209
Step-by-step explanation:
subtract
Answer:
209
Step-by-step explanation:
subtraction bro
what is 1/4 compared to 25%
Answer:
i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25
Step-by-step explanation:
if it doesn't i'm sorry for waisting ur time-
. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?
Answer:
8
Step-by-step explanation:
line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye
Which of the fractions is equivalent to 2/3
Answer:
4/6
6/9
12/18
8/12
5/10
Step-by-step explanation:,,
Answer:
The answers are 4/6 and 6/9.
Step-by-step explanation:
What is the answer for 1+4?
Answer:
man thats really hard i think youve gotta ask a professional for that
Step-by-step explanation:
Answer:
1+4=5
1-4=-3 (3)
1 x 4= 4
1/4 =4
Step-by-step explanation:
Find the number line with the correct letter placement for each value.
A=73,B=−67,C=127,D=−1.35
Choose one correct answer.''
Answer:
Step-by-step explanation:
a
In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90% confidence interval using the t-distribution was calculated to be (30.5,40.5). After researching commute times to work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.
Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
Pls help BRAINLYEST FOR BEST ANSWER YAYA
Answer:
A) 21
Step-by-step explanation:
Mean:
(23 + 18 + 24 + 15 + 25)/5
105/5
21
Answer:
21
The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.
3. Kim's farm is 1.292 acres. Jack's
farm is 1,104 acres. Which is the
best estimate of the difference
in size between Kim's farm and
Jack's farm?
A 400 acres
B 200 acres
B
C100 acres
D90 acres
Answer:
d 90
Step-by-step explanation:
hope this helped you
Answer:
B. 200 acres
Step-by-step explanation:
Create an estimate by rounding the size of each of their farms to the nearest hundred.
Kim's farm is approximately 1,300 acres, since 292 is closest to 300.
Jack's farm is approximately 1,100 acres, since 104 is closest to 100.
Using these estimates, find the difference between them:
1,300 - 1,100
= 200
So, the best estimate of the size difference is B. 200 acres
Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14
Answer:
7√x = 14
Step-by-step explanation:
A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?According to the task content;
It follows that we are required to determine the equation which is a radical equation.On this note, the required equation is 7 √x = 14 because the variable is under a radical.
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Write the equation of the line that passes through (7,-4) and (-1,-2) in slope-intercept form.
Answer:
y = -1/4x - 5/2
Step-by-step explanation:
-2- -4 /-1-7 = 2/-8 = -1/4
y+2 = -1/4(x+2)
y+2 = -1/4x - 1/2
y = -1/4x -5/2
Write the slope-intercept form of the line given point and slope. ( show work if possible please)
through: (-2,-5), slope = 5
Answer:
y=5x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=5(x-(-2))
y+5=5(x+2)
y=5x+10-5
y=5x+5
Plz help!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
hello : here is an solution
Write the additive inverse and multiplicative inverse of 3-7i?
Step-by-step explanation:
additive inverse means multiplying 3-7i by it's conjugate which would be
(3-7i)(3+7i)=3^2+7^2=9+49=58
the multiplicative inverse of a number z is 1/z
1/(3-7i)
multiply numerator and denominator by 3-7i's conjugate and it equals 58
(3-7i)/58
3/58-7/58i
Hope that helps :)