There is a 0.0003 chance that the sample mean was 18.2 ounces or more if the actual mean is 18 ounces.
What exactly is mean?In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. For instance, the mean for the set of data 8, 9, 5, 6, 7 is 7, since 8 + 9 + 5 + 6 + 7 = 35, and 35/5 = 7.So, let Y be a random variable with box weights.
μ = 18 ouncesSD = 0.32 ouncesThese are the sample size and mean:
Sample size (n) = 30Sample mean (y) = 18.2N's standard deviation is then roughly followed by Y ( μ = 18, SD = 0.32).
Z score is displayed as:
[tex]z=\frac{\sqrt{n}(y-u)}{S D}[/tex]Where z has a mean of 0 and a standard deviation of 1 and is a normal standard variable.
Given that the standard deviation is given and that sample size n is 30. y roughly follows the Normal distribution.
If the sample mean was 18.2 ounces or more and the actual mean was 18 ounces, the probability that this was the case is given as:
[tex]\begin{aligned}&P[Y \geq 18.2]=P\left[\frac{\sqrt{n(y-u)}}{S D} \geq \frac{\sqrt{30}(18.2-18)}{0.32}\right. \\&=P\left[z \geq \frac{\sqrt{30}+0.2}{0.32}\right] \\&=P\left[z \geq \frac{1.0954}{0.32}\right] \\&=P[z \geq 3.4233] \\&=0.0003\end{aligned}[/tex]
Therefore, there is a 0.0003 chance that the sample mean was 18.2 ounces or more if the actual mean is 18 ounces.
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How do you find the Least Common Multiple (LCM) of a number?
Answer:
by dividing with a small number like 2
Step-by-step explanation:
the LCM of 4 is4
plsssssssssssssss help
Answer: Im not sure what is supposed to happen here but x=3
Step-by-step explanation:
pls pls help whoever gets it right gets marked brainliest
Answer: a
Step-by-step explanation:
i think the answer is a
The students in a class were asked wether they preferred football , tennis or hockey. The ratio of students who preferred football to tennis to hockeys is 14:8:3. What percentage of students preferred tennis
Answer:
32%
Step-by-step explanation:
Well, 14+8+3=25
So, 8/25=32/100, which means 32%
Answer:
Person above me is right
What is the greatest common factor of 24, 36, 72?
The greatest common factor of 24, 36 and 72 is 12.
12 is the greatest common factor of 24, 36, and 72
Drawing 1 uses the scale of 1 cm to 5 mi
Drawing 2 uses the scale of 1 cm to 10 mi
Which drawing is SMALLER? Why?
is smaller because
The scale of 1 cm to 5 mi is smaller.
What is scale drawings?An object is enlarged in a scale drawing. An expansion increases or decreases the size of an object by multiplying each of its lengths by a scale factor. Consequently, when using scale drawings: Find out what the drawing's scale is. Use a ruler to measure the distance on the drawing (or, if available, count the number of squares). To get the distance in real life, multiply the measurement by the scale.
Given Data
Drawing 1 uses the scale of 1 cm to 5 mi
Drawing 2 uses the scale of 1 cm to 10 mi
the scale of 1 cm to 5 mi is smaller.
1 inch to 5 miles scale means that on the drawing, 1 inch corresponds to 5 actual miles. If a road is depicted on a drawing as being 2 inches long, it is actually 10 miles long.
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How will the volume of a cube change if its edge becomes twice as long; 3 times as
long; 10 times as long; n times as long?
Answer:8s^3 , 27s^3 , n^3s^
Step-by-step explanation:
As we know that
Volume of the cube = side × side × side
let us assume that one side is s
side = 2s
Then,
Volume = 2s ×2s×2s
=8s^3
side =3s
Then,
Volume= 3s×3s×3s
=27s^3
side =ns
Then,
Volume= ns×ns×ns
=n^3 s^3
help please i really need help lol
Answer:
68
Step-by-step explanation:
because first u have to add it all up then take away
Find the X and Y values.
The answer should be written as a coordinate point (x,y)
(reward 50 points)
Answer:
The solution is (10, 11)
Step-by-step explanation:
We have the following equations to work with
[tex]\dfrac{1}{2}x + 6 = 2x + 31\\2.5x + 6 = 31\\[/tex]
Subtract 6 from both sides
[tex]\\\\\Rightarrow 2.5x = 31 - 6 = 25[/tex]
Divide by [tex]2.5x[/tex] on both sides:
[tex]\Rightarrow x = \dfrac{25}{2.5} = 10[/tex]
Substitute for x in the first equation
[tex]y = \dfrac{1}{2}x + 6\\\\\rightarrow y= \dfrac{1}{2}\times 10 + 6\\\\\rightarrow y=5 + 6 = 11\\\\[/tex]
So the So the solution is
EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given
7, 4, 1, -2
explain
Ths. nth term of the sequence will be 4 - 3n.
The next three terms will be -5, -8 and -12.
How to illustrate the information?It should be noted that a sequence simply represents the numbers that have a common term between them.
In this case, the numbers that are given include 7, 4, 1 and -2.
It should be noted that the common difference will be:
= Second term - First term
= 4 - 7
= -3
The first term is 7. The nth term will be:
= a + (n - 1)d
= 7 + (n - 1)-3
= 7 -3n + 3
= 4 - 3n
The next three terms will be the difference of three subtracted from the numbers. This will be -5, -8 and -12.
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You roll a fair 6-sided die twice. Find the probability of getting the same number.
There is a 1/6 chance of getting the same number.
What is meant by probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Probability is the ratio of favorable outcomes to all other potential outcomes of an event.
two moral six-sided dice are used.
It is necessary to calculate the odds that the dice will yield the same result.
A total of 36 results were attained.
Results that are favorable include (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).
Total: 6 positive outcomes.
As a result, the likelihood of an occurrence is determined by the proportion of favorable outcomes to all other potential outcomes.
A shift in the values
The likelihood of an event is 1/6 or 6/36.
The likelihood that two dice will produce the same number is therefore 1/6.
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solve for p. 2P+7=15 solve for p.
Answer:
p = 4
Step-by-step explanation:
2p + 7 = 15 ( subtract 7 from both sides )
2p = 8 ( divide both sides by 2 )
p = 4
Answer:
P = 4
Step-by-step explanation:
2P + 7 =15
2P = 15 - 7
2P = 8
P = 8/2
P = 4
Find the distance between each pair of points
Answer: 14: [tex]\sqrt{5}[/tex]
16:[tex]\sqrt{26}[/tex]
Step-by-step explanation:
Points for 14: (2,0) and (0,-1)
-1 - 0 = -1
0 - 2 = -2
Use the equation of a triangle [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]\sqrt{-1^{2} +-2^{2} } =\sqrt{5}[/tex]
Points for 16: (2,2) and (-3,3)
Choose from the following
A. Strong positive
B. Weak positive
C. No correlation
D. Weak negative
E. Strong negative
While graph A shows a Strong Negative Correlation (Option E), Graph B shows a No Correlation. (Option C)
What is a strong negative Correlation?
A significant negative correlation, on the other hand, suggests a substantial relationship between the two variables, but that one rises while the other falls. For example, a correlation of -0.97 suggests a high negative connection, whereas a correlation of 0.10 shows a mild positive correlation.
A scatter plot, also known as a scatter graph or scatter chart, employs dots to represent the values of many numerical variables. To demonstrate a weak positive association, the value of Y grows slightly as the value of X increases.
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Please answer the question in the photo (will mark Brainliest if correct)
HELP ASAP PLEASE I'LL GIVE BRANLIEST
Answer:
B
Step-by-step explanation:
reduction is [tex]\frac{4}{5}[/tex] per plant , that is
[tex]\frac{4}{5}[/tex] × $6 = 0.8 × $6 = $4.80 per plant
total cost = 5 × $4.80 = $24.00
Which type of transformation would move figure 1 onto figure 2?
translation
reflection
rotation
dilation
Find the median, mode, and range.
For the given discrete data series,
Median = 4'7"
Mode = 4'8"
Range = 1'3"
To begin with, let us arrange the given discrete data series in ascending order as follows:
3'7" 3'11" 4'3" 4'6" 4'7" 4'7" 4'8" 4'8" 4'8" 4'9" 4'10"
To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"
To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.
To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"
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What is the value of (−13)3 when evaluated?
−169
39
−2,197
2,197
Answer: I pretty sure that the answer is -169
Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!
The value of the expression (−13)³ when evaluate is equal to -2,197.
As given in the question,
Given expression is equal to :
( -13 )³
Property used while evaluating the expression:
( - ) × ( - ) = ( + )
( + ) × ( - ) = ( - )
Evaluate the given expression ( -13 )³ value we get,
( -13 )³
Multiply first two terms we get :
= ( -13 ) × ( -13 ) × ( -13 )
= ( 169 ) × ( -13 )
Now , multiply 169 to (-13 ) the value we get
= ( -2, 197 )
Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.
The complete question is:
What is the value of (−13)³ when evaluated?
a. −169
b. 39
c. −2,197
d. 2,197
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A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $16.50, and tickets cost $38.50 per person, including tax. What is the maximum number of people who can go to the amusement park?
Maximum 8 people can go to the amusement park.
What is arithmetic?Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. One of the branches of mathematics,
1, deals with the application of addition, subtraction, multiplication, and division to nonnegative real numbers, occasionally incorporating transfinite cardinals.
Given Data
$325 to spend on parking and admission. Parking is $16.50, and tickets cost $38.50 per person, including tax.
Parking = $16.50
Total money = $325
Money left after spending money on parking:
$325 - $16.50
$308.5
Now, dividing money left by fees of admission;
Cost of ticket = $38.5
Money left = $308.5
Number of people who can go inside=
= [tex]\frac{308.5}{38.5}[/tex]
= 8.01
Maximum 8 people can go to the amusement park.
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(100 points) While practicing a tightrope walk at a height of 20 feet, a circus performer slips and falls into a safety net 15 feet below. The function h(t) = -16t^2+20, where t represents time measured in seconds, gives the performer's height above the ground (in feet) as he falls. Write and solve an equation to find the elapsed time until the performer lands in the net. Will give brainiest to person who answers the questions correctly.
The equation to find the elapsed time is -16t^2 + 20 + 15 = 0 and the elapsed time is 1.479 seconds
How to determine the equation to find the elapsed time?The given parameters are:
h(t) = -16t^2 + 20
Also, we have:
Safety net = 15 feet below
This means that
h(t) = -15
Substitute h(t) = -15 in h(t) = -16t^2 + 20
So, we have
-16t^2 + 20 = -15
Add 15 to all sides
-16t^2 + 20 + 15 = 0
Using a graphing calculator, we have
t = -1.479 and t = 1.479
Time cannot be negative
So, we have
t = 1.479
Hence, the time is 1.479 seconds
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A boat travels upstream on the Mississippi River for 3.5 hours. The return trip takes only 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel downstream?
The distance that the boat travel is 17.5 miles per hour.
How to calculate the distance?A boat travels upstream on a Mississippi river for 3.5 hours and the return trip takes 2.5 hours
The boat travels 2 miles per hour faster downstream
Let y = the speed that was traveled upsteam.
This will be illustrated as
3.5y = 2.5(y + 2)
3.5y = 2.5y + 5
3.5y - 2.5y = 5
y = 5
Therefore the distance travelled by the boat upstream will be:
= 3.5 × 5
= 17.5 miles per hour
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mickey mantle played for the new york yankees for 18 years from 1951 to 1968. year by year he hit the following numbers of home runs: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18. we represent these as a vector x in r by making the following assignmemt:
The sample mean of z = 247-925
Given Data:
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18.
Mickey Mantle played for the New York Yankees for 18 years, from 1951 to 1988. The average annual number of home runs he hit was as follows:
X < - C ( 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18)
Y < - Cumsum (X)
Y
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
> W < - 714 - Y
> W
Y
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
> W < - 714 - Y
> W
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
> Z < - C (X, Y, W)
>Z
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
a) Z's minimal value = 13
b) Sum of the element's squares in Z = 5853370
c) Z's sample mean = 247.9259
d) The variation of z in samples (variance) = 478133.92
e) Z's Standard Deviation = 218.6639
f) W's 18th element = 178
g) X's Sample Variance = 142.6536
h) The sample variance of 5x = 3566.34
i) Length of elements in 5x = 18
j) The unique (different) values are in Z = 52
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Which shapes below are similar to triangle T?
Choose all of the correct answers.
A
B
C
D
E
F
Answer:
A and E only
Step-by-step explanation:
The ratio of boys to girls in a classroom is 3:5 If there are 35 girls
in the class, how many boys are in the classroom?
Boys to girls
3 : 5
? : 35
35/5 = 7
5 x 7 gives number of girls.
So, 3 x 7 will give number of boys, which is 21
Thus, there are 21 boys
(basically, you find the number you multiplied by 5 to get 35, then, multiplying that number on the other side, which was 3 in this case. )
Hope this helps!
find the equation of the line. a line that is parallel to the graph of 2x+3y=5 and conatians the point (3,-1)
The equation of the line. a line that is parallel to the graph of 2x+3y=5 and contains the point (3,-1) is y+1 = -2/3 (x - 3)
Equation of a lineA line is defined by the shortest distance between two points,
The equation of a line in point slope form is expressed as;
y - y₁ = m(x-x₁)
where
m is the slope
(x₁, y₁) is any point on the line
Given the following parameters
Point = (3, -1)
Given the equation 2x + 3y = 5
3y = -2x + 5
y = -2/3x + 5
Slope = -2/3
Substitute
y - (-1) = -2/3(x-3)
y+1 = -2/3 (x - 3)
This gives the required equation of the line.
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What is 22 divided by 1034
Answer:
47
Step-by-step explanation:
you said 22 divided by 1034, which is 0.02127659574 when i put it in my calculator, so im just going to guess that was a typo lol
22*47=1034, so 1034/27 is 47
Order from least to greatest {-6,-8, 3,-1,-4}
Answer:
-8, -6, -4, -1, 3
Step-by-step explanation:
Hope it helps! =D
Domain and Range, Help!!!
Answer:
Increasing
Domain: [-5, ∞)
Domain: x≥-5
Range: [-0.5,∞)
Range: y≥-0.5
insert brackets to make the statement true 10 + 2 x 3^2 - 2 = 84
Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).
How to illustrate the informationIt should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.
This will be illustrated thus:
= 10 + 2 × 3² - 2
= (10 + 2) × (3² - 2)
= 12 × (9 - 2)
= 12 × 7
= 84
Therefore, the expression is true.
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