Answer:
1. B 2. D
Step-by-step explanation:
For the first answer we see that as there are more vehicles, the speed of the vehicles goes down. This can be seen from the negative slope of the scatter plot. In the second image, we cannot see any relation between the x and y coordinates.
Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals 1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random sample of n equals 33 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.4. Express the final answer to four decimal places (e.g. 0.9876).
Answer:
the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444
Step-by-step explanation:
Given the data in the question;
x f(x) xp(x) x²p(x)
1 1/3 0.33333 0.33333
2 1/3 0.66667 1.33333
3 1/3 1.00000 3.0000
∑ 2.0000 4.6667
∑(xp(x)) = 2
∑(x²p(x)) = 4.6667
Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667
standard deviation σ = √variance = √0.6667 = 0.8165
Now since, n = 33 which is greater than 30, we can use normal approximation
for normal distribution z score ( x-μ)/σ
mean μ = 2
standard deviation = 0.817
sample size n = 33
standard of error σₓ = σ/√n = 0.817/√33 = 0.1422
so probability will be;
p( 2.1 < X < 2.4 ) = p(( 2.1-2)/0.1422) < x"-μ/σₓ < p(( 2.4-2)/0.1422)
= 0.70 < Z < 2.81
= 1 - ( 0.703 < Z < 2.812 )
FROM Z-SC0RE TABLE
= 1 - ( 0.25804 + 0.49752 )
= 1 - 0.75556
p( 2.1 < X < 2.4 ) = 0.2444
Therefore, the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444
15n+24-4(n-3)+6-2n=105
Answer:
n = 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Question: 15n+24-4(n-3)+6-2n=105
Answer: 3 • (3n + 14)
Explanation:
STEP 1: Restate
Equation at the end of step 1
(15n + 24) - 4 • (n - 3)) + 6) - 2n
STEP 2: Pulling out like terms
STEP 3: Pull out like factors :
9n + 42 = 3 • (3n + 14)
Final result :
3 • (3n + 14)
Hope this helps~
In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
B. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations
In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
What do you mean by normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here the mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].
Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
Learn more about the normally distributed data here;
https://brainly.com/question/6587992
#SPJ2
Quadrilateral ABCD is reflected over the x-axis. What are the coordinates of
quadrilateral A'B'C'D?
Answer: A
Step-by-step explanation:
X values to the right of the y axis are positive. X values to the left of the y axis are negative.
Y values above the x axis are positive.
Y values below the x axis are negative.
Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.
Answer:
AStep-by-step explanation:
Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)
A=(5,5) --> A'=(5,-5)
B=(5,1) --> B'=(5,-1)
C=(2,1) --> C'=(2,-1)
D=(1,5) ---> D'=(1,-5)
in January 2010, Diana invested $4,500 in an account that paid interest compounded annually. the table showstopper balance of the account at different times. what was Diana's balance, in dollars and cents, in January 2014. the numbers on the table are, For the month Jan. 2011-$4,635.00
Jan. 2012-$4,774.05
Jan. 2013-$4,917.27
Answer:
500,000
Step-by-step explanation:
80-1
1. Harpreet bought 1 L of mustard oil,
1 L 500 mL of sunflower oil and
250 mL of olive oil. How much oil
did she buy?
pleasee i need help pleaseeee help nowww
Answer:
t > 2.5
Step-by-step explanation:
How many copies of 1 twelfth are equivalent to 3 sixths? Help!
Answer:
6/12 is equal to 3/6 ( 6 twelfths is equal to 3 sixths )
Step-by-step explanation:
multiply both sides of 3/6 by 2 to get the same denominator, doing that will get you 6/12
Answer:
6 copies
Step-by-step explanation:
Step 1: Convert 1 twelfth to an expression
1 twelfth is the same thing as 1/12
Step 2: Convert 3 sixths to an expression
3 sixths is the same thing as 3/6
Step 3: Get common denominators
The lowest common denominator between 1/12 and 3/6 is 12
[tex]\frac{1}{12}[/tex] → [tex]\frac{(1 * 1)}{(12 * 1)}[/tex] → [tex]\frac{1}{12}[/tex]
[tex]\frac{3}{6}[/tex] → [tex]\frac{(3 * 2)}{(6*2)}[/tex] → [tex]\frac{6}{12}[/tex]
Step 4: Find the amount of 1/12 there are in 6/12
In order to find out the copies, we need to add 1/12 x amount of times to get 6/12. We find that x is going to be 6. Therefore, there 6 copies.
[tex]\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12} = \frac{6}{12}[/tex]
Answer: 6 copies
4. Solve this equation for x. Please show work. 4√x + 3 + 3 = 15
Answer:
i don't know sorry b a b y g i r l
Step-by-step explanation:
please help I will give brainliest!
What is the Circumference of 2m
Answer:
The circumference of a circle is equal to Pi π times the diameter d
Step-by-step explanation:
Rule: y=x+2/3
y=2 x=?
Answer:
y=x+
-2/3
Step-by-step explanation:
y=x+
2
3
Step 1: Flip the equation.
x+
2
3
=y
Step 2: Add (-2)/3 to both sides.
x+
2
3
+
−2
3
=y+
−2
3
x=y+
−2
3
HELP PLEASE How do you simplify this expression? (Pls list steps)
-12 ÷ 3 • (-8+(-4)^2 - 6) ÷ 2
The answer is 4
steps listed above
Please I need help it’s an emergency
Answer:
32[tex]\sqrt{2}[/tex]
Step-by-step explanation: Feel free to ask questions wanted to answer quick so you wouldn't end up being too late!
1/2 x 1 2/3 write the answer as a fraction or as a whole or mixed number
Answer:
5/6
Step-by-step explanation:
The sides of the figure below measure 11, 22, and 27 meters. Find the perimeter. Do not include units in your answer
Answer:
27
Step-by-step explanation:
try that it should work for their
The perimeter of the figure is 60
How to determine the perimeter?The side lengths are given as:
11, 22, and 27 meters
The perimeter of the triangle is the sum of its side length.
So, we have:
Perimeter = 11 + 22 + 27
Evaluate the sum
Perimeter = 60
Hence, the perimeter of the figure is 60
Read more about perimeter at:
https://brainly.com/question/24571594
1. -10(-0.32 - 0.2)
Plz help
Answer:
5.2 would be the answer
Which sum is equivalent to 3/5 + 1/6?
A 6/10+2/10
B 12/30+5/30
C 18/30+5/30
D 3/11+4/11
Answer:
C 18/30+5/30
Step-by-step explanation:
Fractions scare me but I try
First we need to find the sum of 3/5 and 1/6
To do that we turn the denominators into common denominators.
[tex] \frac{18}{30} + \frac{5}{30} [/tex]
then we just add
[tex] \frac{18}{30} + \frac{5}{30} = \frac{23}{30} [/tex]
hope this makes sense
Sofia had $608 in her bank account. She withdrew 15% of the money in her account. How much did she withdraw?
Quickly answer!!!
She pulled out 91.2 dollars
Here are two paint mixtures: • 3 cups of white and 4 cups of blue. • 6 cups of white and 8 cups of blue. Both mixtures make the same color because they are in equivalent ratios. Which of these mixtures is also in an equivalent ratio? 5 cups white 6 blue 1 white 1 1/2 blue 4 white 3 blue 1.5 white 2 blue. HELP MEH
The mixture that is an equivalent ratio is:
1.5 white 2 blue is the answer to the question
Here are two paint mixtures: • 3 cups of white and 4 cups of blue. • 6 cups of white and 8 cups of blue. Both mixtures make the same color because they are in equivalent ratios. Which of these mixtures is also in an equivalent ratio? 5 cups white 6 blue 1 white 1 1/2 blue 4 white 3 blue 1.5 white 2 blue.
While traveling to and from a certain destination you realized increasing your speed by 40 mph saved 4 hours on your return, if the total distance of the round trip was 640 miles find the speed driven while returning ?
Answer:
60 mph
Step-by-step explanation:
just did the question
Angela is studying the mean blood pressure of all students attending her college. She collects data from the 38 students in her statistics class. Which type of sampling is used?
Answer:
Convenient Sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
She collects the data from the students in her class, which is the conveniently available pool, so convenient sampling is used.
Triangle ABC is a right triangle.
.
mZA = 50°
mZB= (32 – 4)
mZC= 90°
What is the value of x?
Hurry!!!! Thanks you
Answer:
mZA=50
mZB=28
mZC=90
value of x is 28 how i got it was 32-4.
Solve for x please show work
Answer:
x = 3
Step-by-step explanation:
The 2nd polygon is 1.5 times larger.
12 x 1.5 = 18
18-6 = 12
12/4 = 3
x = 3
What do you need to know to describe the velocity of an object?--Three things total
Answer:
Distance traveled, initial speed, and final sped.
Step-by-step explanation:
A school bus carries 20 students. There are
currently 215 students in the 7th grade. How many
school buses are needed to take the 7th grade on a
field trip?
Answer:
11 buses
Step-by-step explanation:
215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.
What ordered pairs name the locations of points P and Q?
Answer:
See below
Step-by-step explanation:
P(-4, 2)
Q(-3, 0)
what is the measurement of the missing angle for the following?
Answer:
the answer is 38
Step-by-step explanation:
103 + 39 + 38= 180, the degree of a triangle
Martin uses 6.24 square meters of fabric to make a single blanket how much fabric does he use to make 13 blankets
Answer:
81.12 sq m of fabric
Step-by-step explanation:
6.24*13=81.12
14b-12b-3? plss helpp