Answer:
1/6
Step-by-step explanation:
1/2÷3
1/2×1/3
1×1/2×3
1/2×3
1/6
A research firm conducted a study to determine the average amount of money that smokers spend on cigarettes during a week. The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5. What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Answer:
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
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 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 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.
The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.
This means that [tex]\mu = 20, \sigma = 5[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]
What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?
This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{0.5}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 19
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19 - 20}{0.5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Find the zeros of the function. Enter the solutions from least to greatest . h(x) = (- 4x - 3)(x - 3) lesser x = greater
9514 1404 393
Answer:
-3/4, 3
Step-by-step explanation:
The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.
-4x -3 = 0 ⇒ x = -3/4
x -3 = 0 ⇒ x = 3
The zeros of the function are -3/4 and 3.
(4x)(6y)+6=
what is the answer
Answer:
24xy+6
Step-by-step explanation:
Remove parentheses:
=4x times 6y+6
multiply the numbers:
which gives you: 24xy+6
Simplify -3 p3 + 5 p + (-2 p2 ) + (-4) - 12 p + 5 - (-8 p3 ). Select the answer in descending powers of p . 1 - 7 p - 2 p2 + 5 p3 1 + 7 p + 2 p2 - 5 p3 5 p3 - 2 p2 - 7 p + 1 -5 p3 + 2 p2 + 7 p + 1
Step-by-step explanation:
Let's simplify step-by-step.
−3p3+5p−2p2−4−12p+5−−8p3
=−3p3+5p+−2p2+−4+−12p+5+8p3
Combine Like Terms:
=−3p3+5p+−2p2+−4+−12p+5+8p3
=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)
=5p3+−2p2+−7p+1
Answer:
=5p3−2p2−7p+1
find the following sum 7(3x2+2x-5)+2(-x2+3)
I think is -7
Step-by-step explanation:
because I calculated I'm not sure tho
The functions q and r are defined as follows.
q(x)+−5x5
r(x)+−2x5
Find the value of r(q(−1)).
Answer:
eat
Step-by-step explanation:
eat
an airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed?
Answer:
answer is 12
Step-by-step explanation:
hope this helps
the height, in feet, of Ferris wheel rider t seconds after the ride begins is given by h(t)=-35cos(2t)+45. What is the average rate of change of height, in feet per second, from time t=30 to t=45? (radians)
Answer: b
Step-by-step explanation: the answer is got was 1.166666
Which graph represents a function?
Answer:
C
Step-by-step explanation:
In D, the x value repeats
Answer:
C
Step-by-step explanation:
C has a positive then negative slope, while D can't even be a function.
I hope this helps :)
WILL GIVE BRAINLIEST FOR FIRST ANSWER!
In some sparsely populated areas of the United States, the speed limit on highways can be as high as 80 miles per hour (mph).
What is this speed in meters per second (m/s)?
Answer:
B
Divide the speed value by 2.237
80/2.237=35.76
Answer:
35.76
Step-by-step explanation:
There was no 0 ce, so how many years ago was 33 ce?
Answer:
1988 years ago.
Historians have never included a year zero, and it isn't common practice to include it.
Hope this helps,
Azumayay
4.7 + (-3.65) how do I work this
Answer:
1.05Explanation:
Adding a negative is the same thing as subtracting so rewrite the equation4.7 + (-3.65)
= 4.7 - 3.65
1.05Answer:
1.05
Step-by-step explanation:
4.7 + (-3.65)
= 4.7 - 3.65
= 1.05
Let me know if you have any questions :)
25. Identify one organism in the chart that is a decomposer.
O (1) Domestic Dog
O (2) White Button Mushroom
O (3) Orange Day Lily
O (4) Wolf Spider
Answer:
2. White Button Mushroom
In a survey of 526 visitors to the craft center, 378 want the craft center to be open later in the evenings. What is the interval that is likely to contain the true population proportion?
37% to 69%
16% to 17%
20% to 38%
0% to 53%
Answer:
37% to 69%
Step-by-step explanation:
3 tons = ________ how many pounds
Answer:
6000 pounds
Step-by-step explanation:
calculator
Answer:
6000lbs
Step-by-step explanation:
3*2000=6000
Should my answer be 85=360+12h
Answer:
h = [tex]\frac{- 275}{12}[/tex]
Step-by-step explanation:
85 = 360 + 12h
85 - 360 = 360 - 360 + 12h
- 275 = 12h
- 275 ÷ 12 = 12h ÷ 12
h = - 275/12
Origin, one of the four characteristics of mapping rules, refers to _____. the use of a number that is not used again the use of a series of numbers in which each number is an equal distance from the next the use of ordered numbers such that two is less than three but greater than one the use of numbers used to group or sort responses when no order to the numbers exists the use of a series of numbers with a unique origin indicated by the number zero
Answer:
the use of a series of numbers with a unique origin indicated by the number zero.
Step-by-step explanation:
In Science, mapping experiment refers to an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
Origin, one of the four characteristics of mapping rules, refers to the use of a series of numbers with a unique origin indicated by the number zero.
In Mathematics, the origin is generally chosen to start from zero on a graph that gives the relationship between two variables.
Will mark brainliest for any help!
Answer:
56.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos N = PN / NO
cos 27 = 50/ x
x cos 27 / 50
x = 50/cos 27
x=56.11631188
Rounding to the nearest tenth
x = 56.1
For the following right triangle, find the side length x.
Answer:
x=25
Step-by-step explanation:
a^2+b^2=c^
24^2+7^2=c^2
576+49=626
sqrt of 625 is 25
Evaluate the expression 2l+2w for I=5.7 and w=6.2
Answer:
23.8
Step-by-step explanation:
2(5.7) + 2(6.2)
11.4 + 12.4
23.8
PLSSSS ANSWER 10 POINTS AND BRAINLIEST
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
we know that
[tex]x+100+3x=180[/tex]
so solve for x
[tex]4x+100=180\\\\4x=80\\\\x=\frac{80}{4}=20[/tex]
Answer: x = 20
Step-by-step explanation:
180 - 100 = 80
4x = 80
x = 20
PLEASE HELP
When Abram was born, his parents put $2,000 into an account that yielded 3.5% interest, compounded semiannually. When he 16 , his parents will give him the money to buy a car. How much will Abram receive on his 16th birthday ?
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
If P = $2000, R = 3.5%, n = 2 and T =16 years.
The amount received on his 16th birthday is $3480.
What is compound interest?
It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
Where,
R = rate
P = principal.
n = number of times compounded annually.
t = number of years.
We have,
Principal = $2,000
Rate = 3.5%
Semiannually means twice a year so,
n = 2
Time = 16 years
Now,
The amount received on his 16th birthday:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
A = 2000 [tex](1 + \frac{3.5}{2\times 100}) ^{2\times16}[/tex]
A = 2000 [tex](1 +0.0175) ^{32}[/tex]
A = 2000 x [tex]1.0175^{32}[/tex]
A = 2000 x 1.74
A = $3480
Thus,
If P = $2000, R = 3.5%, n = 2 and T =16 years.
The amount received on his 16th birthday is $3480.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ5
The function g is defined as follows.
g(x) = 2x²+7
If the graph of g is translated vertically downward by 5 units, it becomes the graph of a function h.
Find the expression for h(x).
x
Answer:
h(x) = 2x²+2
Step-by-step explanation:
Given the function g is defined as follows.
g(x) = 2x²+7
If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;
h(x) = 2x²+7 - 5
h(x) = 2x²+2
determine the domain and range of each graph use inequalities to write your answer
Answer: Domain is all real numbers. And range is y≥ 3
Step-by-step explanation:
The table shows the amount in fluid ounces of
each ingredient Randolph used to make fruit
punch for a party.
How many pints of this fruit punch did Randolph
make?
Fruit Punch
1,792 pints
Ingredient
Amount Used
(fluid ounces)
B 102 pints
Orange juice
24
7 pints
Apple juice
24
Lime soda
64
D 14 pints
Answer:
Step-by-step explanation:
help please please do it quickly thxs
Describe how the graph of y=2x and y=2x+7 are the same.
Answer:
These two equations produce a similar graph because they both share the same slope: 2. The only difference is that the y-intercept for the second equation is a positive 7, making the graph shift upwards. Other than this, both equations would be parallel (and identical) on the graph.
Which equation represents the line shown on the coordinates grid below?
what is the total surface area in square millimeters, of the rectangle solid shown below? HELP PLEASE!
Answer:
D) 290
Step-by-step explanation:
w = 5
l = 12
h = 5
Formula:
SA = 2(wl + hl + hw)
SA = 2(5*12 + 12*5 + 5*5)
SA = 2(60 + 60 + 25)
SA = 2(145)
SA = 290
please help me ahh!!!!!! (question in picture)
Answer:
A. -3
Step by Step:
Answer: The answer is 1/3 hope it helps :)