Answer:
Average systolic blood pressure = x = 130
Standard deviation = s = 6
Step-by-step explanation:
We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.
According to the empirical rule:
a) 68% values lie within 1 standard deviation of the mean
b) 95% values lie within 2 standard deviation of the mean
c) 99.7% values lie within 3 standard deviation of the mean
So, 99.7% value will lie within 3 standard deviations from the mean.
We can express this range as:
( x - 3s, x + 3s)
= (130 - 3(6), 130 +3(6))
= ( 130 - 18, 130 + 18)
= ( 112, 148 )
Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town
Hope this helps!!!
The interval of systolic blood pressures that represent the middle 99.7 of males is (90, 120).
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
Given that,
For males in a certain town, the systolic blood pressure is normally distributed.
Mean, μ = 105
Standard deviation, σ = 5
Using empirical rule, we can say that 99.7% of males having the systolic blood pressures observed following a normal distribution lies within 3 standard deviations of the mean.
So the interval is (μ ± 3σ).
That is, (105 - 3×5, 105 + 3×5) = (90, 120)
Hence the required interval is (90, 120).
Learn more about Empirical Rule here :
https://brainly.com/question/30700783
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What does the constant 2.2 in L(D) represent?
Answer:
The constant 2.2 in L(D) represent the brightness in lumens per square inch.
Step-by-step explanation:
What is the median for the given set of data?
[40, 54, 22, 30, 55, 13, 33}
A)
32
B)
33
C)
40
D)
42
Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off
Answer:
The probability that all compressors are off = P(A ∩ B') = 0.18
Step-by-step explanation:
Event A is denoted to reciprocal compressor (R) that is always off.
Event B is denoted that at least one of the screw type of compressor is always on.
P(A) = Probability that the reciprocal compressor is off.
P(A') = Probability that the reciprocal compressor is on.
P(B) = Probability that at least one of the screw type of compressor is on.
P(B') = Probability that at least one of the screw type of compressor is off.
P(A ∩ B) = 45% = 0.45
P(A ∪ B) = 93% = 0.93
P(U) = P(A ∪ B) + P(A' ∩ B')
1 = 0.93 + P(A' ∩ B')
P(A' ∩ B') = 1 - 0.93 = 0.07
The probability that all compressors are off is given as P(A ∩ B')
P(A) = P(A n B') + P(A n B)
P(B) = P(A n B) + P(A' n B)
The question asks us to assume that all outcomes in event B are equally likely.
The possible outcomes in event B include
- The two compressors are on
- First compressor is on, second compressor is off
- Second compressor is on, first compressor is off
- both compressors are off
Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)
P(B) = P(A n B) + P(A' n B)
0.75 = 0.45 + P(A' n B)
P(A' n B) = 0.75 - 0.45 = 0.30
P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)
0.93 = P(A ∩ B') + 0.30 + 0.45
P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18
Hope this Helps!!!
What is the value of x?
12 units
15 units
20 units
24 units
Answer:
15 units
Step-by-step explanation:
After doing research, I found the problem. Here is the right answer:
Answer:
It's 20 :)
Step-by-step explanation:
Just took it on Edge.
In the equation m = k + 3, m is the:
Answer:
Step-by-step explanation:
m is the dependent variable; it represents the value of a linear function of k:
m = f(k) = k + 3
A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
sharing-size cone has 3 times the radius of the skinny-size cone. About how
many times more popcorn does the sharing cone hold than the skinny cone?
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
[tex]V = \frac{\pi r^{2}h}{3}[/tex]
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
[tex]V_{sk} = \frac{\pi r^{2}h}{3}[/tex]
Sharing size:
radius 3r, height h. So
[tex]V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h[/tex]
About how many times more popcorn does the sharing cone hold than the skinny cone?
[tex]r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9[/tex]
The sharing cone holds about 9 times more popcorn than the skinny cone.
A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?
77 feet^2
Explanation:
Area of the wall is
8 2/5 × 18 1/3
42/5 × 55/3
14/5 × 55/1
14/1 × 11/1 = 154 feet^2
The area we want is half of this
77 feet^2
Hope this helps and answer you question
How much did deshwan have withheld from his federal income tax
Answer:
$4465.71.
Step-by-step explanation:
Explanation: The amount of federal income tax withheld is on Box 2 of the WW2 form.
The CEO of a large electric utility claims that more than 75 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 77% say they are very satisfied. We want to decide if the 77% is enough evidence to lead us to accept or reject the CEO’s claim?
Answer:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Step-by-step explanation:
Information provided
n=100 represent the random sample selected
[tex]\hat p=0.77[/tex] estimated proportion of students that are satisfied
is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:
Null hypothesis:[tex]p\leq 0.75[/tex]
Alternative hypothesis:[tex]p > 0.75[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)
Answer:
44 square units
Step-by-step explanation:
The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula
[tex]A=\left(\dfrac{b_1+b_2}{2}\right)h[/tex]
If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:
[tex]b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13[/tex]
Putting it altogether:
[tex]A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44[/tex]
So the area of our trapezoid is 44.
The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?
The correct anwer is False
Explanation
According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
a is the correct option pls mark me as the brainliset
A. It is a proven fact that sometimes drawing it down will help you remember.
C. You could just write it down, simple as that.
F. People always doublecheck-it helps them go over to see if they made a mistake or anything.
Please, Brainliest?
Hope this helps.
Your teacher has 50 pencils. 9 of the pencils are green, 10 are yellow, 7 are
blue and the rest are red. Once a pencil is picked, assume it is not given
back to the teacher. What is the probability that the first 3 students pick a
yellow pencil, a blue pencil and a red pencil in that order? Is this a
dependent or independent event? *
A. Independent, 1/70
B. Dependent, 1/70
C. Independent, 41/3125
D. Dependent, 41/3125
Answer:
B. Dependent, 1/70
Step-by-step explanation:
The probability that the first pencil is yellow is 10/50.
There are now 49 pencils, so the probability that the second pencil is blue is 7/49.
There are now 48 pencils, so the probability that the third pencil is red is 24/48.
The total probability is (10/50) (7/49) (24/48) = 1/70.
Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.
Write a recursive formula for the sequence
-1,-2,-3,-4...
Answer:
f(1) = -1
f(n) = f(n-1) -1
Step-by-step explanation:
The first term is -1. Each term is 1 less than the previous. These equations say that.
f(1) = -1
f(n) = f(n-1) -1
400.0 ml of a gas are under pressure of 80.0 kpa what would the volume of the gas be at a pressure of 100.0 kpa
Answer:
The final volume is 320 mL at pressure of 100 kPa.
Step-by-step explanation:
Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,
[tex]V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2[/tex]
Let
[tex]V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa[/tex]
We need to find [tex]V_2[/tex]. Using above equation, we get :
[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL[/tex]
So, the final volume is 320 mL at pressure of 100 kPa.
What do scientist mean by flattening the curve and why is it important?
Answer:
MRCORRECT has answered the question
Step-by-step explanation:
Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.
Answer:
I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.
Step-by-step explanation:
A pollen grain is 3/10 to the third power centimeters wide. In an illustration, the pollen grain is 6 centimeters 10 wide. How much larger is the illustration than the actual pollen?
Answer:
The illustration is approximately 226 times larder than the actual pollen grain.
Step-by-step explanation:
First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.
This will be
[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide
The original width of the pollen is 0.027 cm.
Next,
We can take the width of the illustration to be 6.10 cm wide.
After this,
To get the magnification factor, we will have to use the formula
Magnification = illustrated size/ actual size
This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times
Hence, the illustration is approximately 226 times larder than the actual pollen grain.
What’s the correct answer for this?
Answer:
c
Step-by-step explanation:
Answer:
P=19.2 ft
Step-by-step explanation:
ACCORDING TO THE THEOREM,
BC=2(DE)
So BC =2(3.2)
BC=6.4 ft
Now
AB=2(EF)
AB=2(4)
AB=8 ft
Now
AC = 2(DF)
AC= 2(2.4)
AC=4.8 ft
Now we're gonna find the perimeter which is sum of all sides
Perimeter=4.8+8+6.4
P= 19.2 ft
The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days or longer?
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
Answer:
a) 0.005% probability of a pregnancy lasting 308 days or longer
b) The pregnancy length that separates premature babies from those who are not premature is 229 days.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 250, \sigma = 15[/tex]
a. Find the probability of a pregnancy lasting 308 days or longer?
This is 1 subtracted by the pvalue of Z when X = 308. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{308 - 250}{15}[/tex]
[tex]Z = 3.87[/tex]
[tex]Z = 3.87[/tex] has a pvalue of 0.99995
1 - 0.99995 - 0.00005
0.005% probability of a pregnancy lasting 308 days or longer
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 250}{15}[/tex]
[tex]X - 250 = -1.405*15[/tex]
[tex]X = -1.405*15 + 250[/tex]
[tex]X = 229[/tex]
The pregnancy length that separates premature babies from those who are not premature is 229 days.
Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
breads to each other person. Then each person eats all of the ginger bread they were given. After that the
number of ginger breads halves. How many ginger breads did the five friends have to start with?
Answer:
The five friends had 10 fingers to start with; one had two each
Step-by-step explanation:
The statement says each gave one of not all of his ginger in the toasting session.
If a binomial is A polynomial, Then a poly nominal is a binomial. Is this always, sometimes, or never
Sometimes true. Take for example the trinomial [tex]x^2+2x-3,[/tex] which is a polynomial but not a binomial. On the other hand, one polynomial that satisfies the statement is the binomial [tex]x+2.[/tex]
Evaluate each geometric
series described
3 + 6 +12 + 24 n=7
Find the area of the shape plssss help
ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared
Step-by-step explanation:
Jean Paul laying in his bathroom. The room measured 10 feet in length and 6 feet in width. What is the area of the bathroom.
Answer:
60 ft^2
Step-by-step explanation:
6x10
get off of the bathrrom floor jean you sicko
Answer:
6 x 10 = 60 ft.^2
(A = b h)
Step-by-step explanation:
Why is he laying on his bathroom floor/tub/whatever-
Area is base times height. (length times width, if you will)
10 x 6
=60
Suppose two variables are positively correlated. Does the response variable increase or decrease as the explanatory variable increases? The response variable will increase as the explanatory variable increases. The response variable will decrease as the explanatory variable increases. We can not say whether the response variable will increase or decrease. The response variable will remain constant as the explanatory variable increases. Need Help?
Answer:
Option A
Step-by-step explanation:
Positive correlation describes a relationship between two variables where both variables move in the same direction. In this case, the response variable will increase as the explanatory variable increases.
Children in 50 Households
Number of Children Number of
Households
0
5
1
11
2
13
3
10
4
9
5
2
Using a proportion, what can you infer about the number of households in her town that have more than thre
About 242 households have more than three children.
About 269 households have more than three children.
About 296 households have more than three children.
About 565 households have more than three children.
Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269
Step-by-step explanation:
Answer:
About 296 households have more than three children.
Step-by-step explanation:
I got it right on edge
Help ASAP giving BRAINLIEST! Am i correct?
Answer:
The answer is yes
Step-by-step explanation:
x-7 > 27
x> 27 +7
x > 34
Answer:
Yes
Step-by-step explanation:
We have the inequality:
x-7 > 27
To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.
x-7+7>27+7
x>34
So, your answer is correct
Giving brainliest to CORRECT answer.
Answer:
B) (-3,4)
Step-by-step explanation:
I graphed the function on the graph below to show you that vertex of the function.
If this answer is correct, please make me Brainliest!
The answer is B because it appears on my graphing calculator as this.
6th grade math ! Help me please :))
Answer:
120
Step-by-step explanation:
20 ÷2=10 10×12=120
or 20×6=120
what are the dimensions for this triangle?
Answer:
2 and 2
Step-by-step explanation:
Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.
