Answer:
3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are 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.
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].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 0.895, \sigma = 0.292, n = 37, s = \frac{0.292}{\sqrt{37}} = 0.048[/tex]
Find the probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.
This is the pvalue of Z when X = 0.809.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.809 - 0.895}{0.048}[/tex]
[tex]Z = -1.79[/tex]
[tex]Z = -1.79[/tex] has a pvalue of 0.0367
3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.
What’s the correct answer for this questions?
Answer:
B = 6√10
Step-by-step explanation:
In the attached file
Dada la siguiente ecuación y= 4x +3
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Dada la siguiente ecuación y= -4x -2
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Answer:
The given equation is
[tex]y=4x+3[/tex]
To graph this equation, we need to create a table for all the coordinates pairs.
X Y
0 3
-3/4 0
So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.
To find the slope, we use those points.
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4[/tex]
So, the slope is 4.
The angle of inclination is found by the formula
[tex]tan \theta = m[/tex]
Where [tex]\theta[/tex] is the angle and [tex]m[/tex] is the slope.
[tex]\theta = tan^{-1}(4) \approx 76\°[/tex]
Therefore, the angle of inclination is 76°, approximately.
3/4 + ( 1/3 divided by 1/6 ) - (-1/2)
Answer:
3.25
Step-by-step explanation:
Find the distance between the points (-2, 3) and (5, -1). Round to the nearest
tenth.
Answer:
8.062258
Step-by-step explanation:
d = 8.062258
For:
(-2, 3)
(5, -1)
Distance Equation Solution:
d=√(5−(−2))2+(−1−3)2
d=√(7)2+(−4)2
d=√49+16
d=6–√5
I belive the answer is
d=8.062258
If (x + 8) is a factor of f(x), which of the following must be true?
GOF
Both x = 8 and x = 8 are roots of f(x).
Neither x = -8 nor x = 8 is a root of f(x).
F-8) = 0
f(8) = 0
Answer:
f(-8) = 0Step-by-step explanation:
If (x+8) is a factor of f(x), then for some expression p, we have ...
f(x) = (x+8)p
Evaluated at x=-8, this gives ...
f(-8) = (-8+8)p = 0p
f(-8) = 0 . . . . must be true
_____
Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that must be true is the one shown above.
Answer:
F-8)= 0 hope this helps!!!!!
Step-by-step explanation:
Use the regression line for the data in the scatterplot to answer the question. On average, how many more goals will a player score for every additional hour of practice? of a goal of a goal 1 goal goals
Answer:
3/4th of a goal
Step-by-step explanation:
just answered the question
The number of goals that a player would score in every additional hour would be 3/4th of a goal.
How to solve for the goalThe equation of the slope of a line =
y2-y1/x2-x1
= 6-2/6.5 -1.5
= 4/5
This is the best option that is closest to the goal that would be scored based on the regression line that is contained in the question.
Complete questionUse the regression line for the data in the scatter plot to answer the question. On average, how many more goals will a player score for every additional hour of practice?
A. )1/2 of a goal
B. )3/4of a goal
C.) 1 goal
D.) 4/3 goals
Read more on slope here: https://brainly.com/question/6704074
#SPJ2
ASAP! ALGEBRA 1! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! No guessing. Show your work or give an explaination.
Answer:
The first one is B because it does pass the vertical line test... (there is no explanation because it does pass the line test)
the second one is D or B... I don't know which one but there you go!!
I tried!!!
Step-by-step explanation:
I want brainliest
a culture started with 3000 bacteria. After 5 hours it grew to 3900 bacteria. Predict how many will be present after 9 hours
Answer:
4811
Step-by-step explanation:
The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...
n(t) = (initial number)·(growth factor)^(t/(time for growth factor))
n(t) = 3000·1.3^(t/5)
Then the number present after 9 hours is ...
n(9) = 3000·(1.3^9/5) ≈ 4811
Answer:
4811
Step-by-step explanation:
FOR PLATO
If you double the lengths of a rectangle what can you say about the new area of it.
A: The area is half its original size
B: The area of the new rectangle is double its original size
C: The area of the new rectangle is four times it original size
D: The area of the new rectangle is eight times the original size.
Answer:
B
Step-by-step explanation:
because u increased it by 2x
Here are ten numbers
3 ,7,2,4,7,5,7,1,8,8
(a) write down the mode
(b) Work out the median
(c) Calculate the mean
(d) What is the range ?
Answer:
Mode:7
Median:2
Mean:5.2
Range:7
Step-by-step explanation:
see the picture attached
The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.
Given :
Numbers -- 3, 7, 2, 4, 7, 5, 7, 1, 8, 8
a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.
b) The median of the given series is 5 and 7.
c) The formula of mean is used in order to determine the mean of the given series.
[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]
[tex]\rm Mean = \dfrac{52}{10}[/tex]
[tex]\rm Mean = 5.2[/tex]
d) The range of the given series is calculated as:
[tex]\rm Range = 8-1[/tex]
[tex]\rm Range = 7[/tex]
For more information, refer to the link given below:
https://brainly.com/question/300591
Using coordinates in proofs 2
Simplify QP
Answer:
First Slot is B and the second slot is A
Step-by-step explanation:
B is in the x coordinate
A is in the y coordinate
And when you look at the formula it should make sense ;D
A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
The sphere has a radius of 4 cm.
The sphere has a radius of 16 cm.
The diameter's length is twice the length of the radius.
The radius's length is twice the length of the diameter.
2048
The volume of the sphere is
3
cm.
256
The volume of the sphere is
cm?
Plzzz help
Answer:
first is true
second is false
third is true
fourth is false
the last few questions about the volume are a little choppy, but the correct volume is 268cm³.
Step-by-step explanation:
hope this helps<<3
WHICH OF THE FOLLOWING EQUATIONS REPRESENTS A LINE THAT IS PERPENDICULAR TO y= -2x + 4 and passes though the point, (4,2)? HELP!!!!
Answer:
Step-by-step explanation:
the slope perpendicular is 1/2
y - 2 = 1/2(x - 4)
y - 2 = 1/2x - 2
y = 1/2x
G = 3t2 - 5t + 6
P = -8t2 + 7t - 9
G + P =
Your answer should be a polynomial in standard form.
Answer:
-5t^2+2t-3
Step-by-step explanation:
PLEASEeEeEeEeEeEeeEeEeEeEeEeEeEeEeEeEeeeEeEeEeEeEeEeEeEeEEEeee
ANSWER NOW
Answer:
a
Step-by-step explanation:
Anyone can solve this
Please answer this correctly
Answer:
The answer is 19.
Step-by-step explanation:
Because the 10 is 6 more than the 4, we subtract 6 from 25 (because they said that they were similar).
Which ordered pair would form a proportional relationship with the points in the graph? (4, 4) (6, 9) (9, 6) (8, 5)
Answer:the answer is 9,6
Step-by-step explanation:
I JUST TOOK THE QUIZ
Answer:
C (9,6) did it on edge
The data in which table represents a linear function that has a slope of zero? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 4, 3, 2, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries 5, 5, 5, 5, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1.
Answer:
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.
Step-by-step explanation:
The table with all y-values the same will graph as a horizontal line, a line with a slope of zero.
Apparently, the first table is like that.
Answer:
A is the answer
Step-by-step explanation:
just took the test
Use substitution to solve the system of equation. 2x+2y=8 x+y=-2
Answer:
Step-by-step explanation:
find the value of y in the second equation
x + y = -2,
but y = -2-x as well
so take the value that we have found for (x) into the first equation
2x + 2(-2-x)= 8
-2x + -4-2x = 8
-4x-4=8
-4x = 12
x=-3,
now just substitute x value into either equation
x + y =-2
-3 + y = -2
y =1
What is the approximate area of the shaded sector in the circle shown below
A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2
Answer:
Option A. 283 cm²
Step-by-step explanation:
to find the area of the shaded sector, we use the formula:
[tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]
where area of the circle = πr²
∴ for the given circle,
[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]
= [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]
= [tex]\frac{100}{360}\times 1017.36[/tex]
= 282.6
≈ 283 cm²
The approximate area of the shaded sector is 283 cm².
The drama club at Del Rosa Middle School is having a production.
Tickets cost $3 for students and $5 for adults. A total of 500 tickets
were sold, bringing in $1860. How many of each kind of ticket was
sold?
Answer:
320 Student Tickets
180 Adult Tickets
Step-by-step explanation:
You can solve this problem by using system of equations. First, we need to figure out our equations.
Equation 1: x as students and y as adults
[tex]x+y=500[/tex]
We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.
Equation 2:
[tex]3x+5y=1850[/tex]
We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.
Now that we have out equations, we can use system of equations to find our students and adults.
[tex]x+y=500[/tex]
[tex]3x+5y=1860[/tex]
Typically elimination is the easiest strategy because you are able to cross out variables.
[tex]3(x+y=500)[/tex]
[tex]3x+5y=1860[/tex]
Becomes:
[tex]3x+3y=1500[/tex]
[tex]3x+5y=1860[/tex]
We see that both equations now have 3x. We can cancel out 3x.
[tex]-2y=-360[/tex]
[tex]y=180[/tex]
Now that we know y=180, we can plug it back into one of our equations to find x.
[tex]x+180=500[/tex]
[tex]x=320[/tex]
320 student tickets and 180 adult tickets were sold.
What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6?
A.
3
y=--x+8
2
B.
3
y = -x-4
2
C.
y = -X
2
D.
2
y = -x-4
3
Answer:
Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.
Lemme know if it worked for you and if you have further questions.
Step-by-step explanation:
3x - 2y = -6
can be rewritten as
2y = 3x + 6
or simpler
y = 1.5x + 3
we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.
y = 1.5x + b
(the letter b is now what we try to solve for)
now let's plug in the x-/y-Informations of the given point
2 = 1.5 * 4 + b
2 = 6 + b
-4 = b
so the new line is
y = 1.5x -4
(the given point lies on that line and it's parallel to the other line)
let's multiply everything by two to get closer to the original format
2y = 3x -8
it could also be expressed as
2y = -(-3x+8)
(in hope that this may help for choosing an answer option)
please clean up the text of questions before posting next time
(would really appreciate the brainliest)
What is the slope and the y-intercept of the line on the graph below?
Answer:
I love you sweetheart I want to look and love you
Answer:
slope- 1/4
y intercept- 1
A top swimmer would be able to swim across a 25-meter pool in about 1/5
of a minute. How fast can a top swimmer go?
Answer:
125 m/min
Step-by-step explanation:
Find the rate (speed) as follows:
25 meters
--------------------- = (125/1) meters/min = 125 m/min
(1/5) minute
This is equivalent to about 380 ft/min
» Which expression is not equal to 30?
|(120 : 20) x (2+3)
(9 x 10) : (4 + 1) +12
(2 x 60 : 30) x (24 + 2)
2 + (30 - 8:4)
Answer:
Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
Step-by-step explanation:
We want to find which of the expression is not equal to 30.
1) (120 : 20) x (2+3)
Using BODMAS, we will solve the brackets first. So, we have;
(120/20) × 5
Note that a ratio implies division.
So, we have;
6 x 5 = 30
2) (9 x 10) : (4 + 1) + 12
Again, using BODMAS, solve the brackets first.
90 : 5 + 12
Ratio symbol is division and so it come before addition in BODMAS.
So, we have;
(90/5) + 12 = 18 + 12 = 30
3) (2 x 60 : 30) x (24 + 2)
Again, using BODMAS, solve the brackets first.
In the first bracket, we'll use division first before multiplication.
(2 x 60/30) x (26) =
2 x 2 x 26 = 104
4) 2 + (30 - 8:4)
Again, using BODMAS, solve the brackets first.
In the second bracket, division goes first. So,
2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30
So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph
Answer:
Sally ran an average of 3 mph
Step-by-step explanation:
If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph
Felix calcutaed the area of a triangle with a base of 3 inches and a height of 1.5 inches Edith calculated the area of aa trapezoid with a height of 2 inches and parallel beaded of 4 inches and 6 inches their work is shown below what error did they both make in this work
Answer:
C), they didn't multiply by one half
Step-by-step explanation:
just did it on edge
Answer:
The answer is C
Step-by-step explanation:
If A and B are independent events and P (A) and P(B) are both greater than 1/2 then P(A and B) is Greater than 1.
Answer:
Step-by-step explanation:
no
as
P(A∩B)=P(A)×P(B)
and P(A)>1/2
also
P(A)≤1
similarly P(B)>1/2
and
P(B)≤1
P(A)×P(B)≤1
so P(A and B) not greater than 1
Daniel works for a pest control company and is spraying all the lawns in a neighborhood. Each lawn in a neighborhood is approximately 0.2 acres in size and takes the same amount of time to spray. He started at the first house at 9:00 AM and the sixth house at 10:00 AM, and Daniel sprays 21 houses in total. How many minutes will it take Daniel to spray all of the lawns in the neighborhood?
Answer:
252 minutes
Step-by-step explanation:
All lawns are the same size, so it doesn't matter the exact size of the each lawn. Ignore the 0.2 acre size.
He started the first house at 9:00 AM and the sixth house at 10:00 AM.
Read the sentence above carefully. He started the first lawn at 9:00 AM. Since he started the sixth lawn at 10:00 AM, that means he finished the fifth lawn at 10:00 AM. In 1 hour, from 9:00 AM to 10:00 AM, he did 5 lawns.
1 hour = 60 minutes
60 minutes per 5 lawns = 60/5 minutes/lawn
which can be reduced to
12 minutes per lawn
His unit rate is 12 minutes/lawn.
Now you multiply his unit rate by the number of lawns, 21 of them, to find the number of minutes to spray 21 lawns.
12 minutes/lawn * 21 lawns = 252 minutes
Answer: 252 minutes
The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute. Use the critical value method of testing hypotheses. 87 89 69 63 70 65 88 84 58 53 66 70Ho= H1=Critical value=P Value=Test Value=
Answer:
We conclude that the mean resting pulse rate for men is 72 beats per minute.
Step-by-step explanation:
We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.
A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;
87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.
Let [tex]\mu[/tex] = mean resting pulse rate for men.
SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 72 beats/minute {means that the mean resting pulse rate for men is 72 beats per minute}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 72 beats/minute {means that the mean resting pulse rate for men is less than 72 beats per minute}
The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean mean resting pulse rate = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}[/tex] = 71.83 beats/minute
[tex]\sigma[/tex] = population standard deviation = 2.6 beats per minute
n = sample of men = 12
So, the test statistics = [tex]\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }[/tex]
= -0.23
The value of z test statistics is -0.23.
Also, P-value of the test statistics is given by;
P(Z < -0.23) = 1 - P(Z [tex]\leq[/tex] 0.23)
= 1 - 0.59095 = 0.40905
Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.
Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.