Answer:
Part A:
Since the calculated value of z falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.025 significance level.
Part B:
The calculated value of z =2.73 falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.01 significance level as well.
Part C:
We are assuming that the standard deviation of the population is equal to the standard deviation of the sample as n= 30 and it is a normal distribution.
Step-by-step explanation:
The population mean = u= 195
The population standard deviation = σ= 14
The sample mean = x`= 202
The sample standard deviation = s=
Sample size = n= 30
Let the null and alternate hypotheses be
H0: u ≤ 195 against the claim Ha: u > 195
The significance level ∝= 0.025
Calculating z
z= x`-u/σ/√n
z= 202-195/14/√30
Z= 7/14/5.477
z= 7/2.556
z=2.73
Part A:
The critical region for Z∝= 0.025 is Z>1.96 for right tailed test
Since the calculated value of z falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.025 significance level.
Part B:
The critical region for Z∝= 0.01 is Z > 2.33 for right tailed test
The calculated value of z =2.73 falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.01 significance level as well.
Part C:
We are assuming that the standard deviation of the population is equal to the standard deviation of the sample as n= 30 and it is a normal distribution.
26 30 45 43 26
14 28 33 56 29
What is the mean of the data set?
26+30+45+43+26+14+28+33+56+29 = 330
330/10 (numbers) = 33!
Answer:
33
Step-by-step explanation:
add up all the numbers and divide by how many numbers there are.
Plsss helppp yall! I’ll mark you brainliesttt
Answer:
Answer Option B and C
Reason
Others are proportional.
A Non proportional relationship is a graph that does not pass through the origin.
Option A and D has point (0,0) which shows the origin and thus makes it Proportional.
Answer B and C
Arjun is hiking from a mountain lodge to a nearby summit. The probability that he will take
the longest trail is 5/9. The odds against Arjun taking the longest trail are_ſblank]..
What odds best complete the sentence?
Answer:
44.44% chance he will not take the longest trail.
Step-by-step explanation:
The probability of the odds against Arjun taking the longest trail is 0.4444 or 44.44% if the probability of the Arjun will take the longest trail is 5/9
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happeing of the event.
Arjun is hiking from a mountain lodge to a nearby summit.
The probability that he will take the longest trail = 5/9
Let's suppose the probability of the odds against Arjun taking the longest trail = x
The sum of the two probabilities of the same event is 1, this is the addition rule of the probability.
By the rule of addtiion of the probability:
x + 5/9 = 1
x = 1 - 5/9 (subtract by 5/9 on both sides)
x = 4/9
x = 0.4444
x =44.44 %
Thus, the probability of the odds against Arjun taking the longest trail is 0.4444 or 44.44% if the probability that Arjun will take the longest trail is 5/9
Learn more about the probability here:
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Someone help
A statistican is analyzing data to find a model. She has determined the following characteristics of the data. Which characteristics of the data defines the period?
Explanation:
The period of a function measures how long a cycle takes. Think of tides on a beach. There's a regular pattern that can be predicted whether its high tide or low tide. Time is often the critical component with the period. Since choice D mentions time and the key term "repeat", this is why it's the answer.
The other values, while useful elsewhere, aren't going to tell us anything about the period. The initial value being 5 doesn't tell us when y = 5 shows up again, and if the function is repeating itself at this point or not. So info about choice A is not sufficient to determine the period. The same goes for choices B and C as well.
Can someone help me solve -x+6=1.
Answer:
x=5
Step-by-step explanation:
-x+6=1
-x=1-6
-x=-5
x=5
500
53°
옷
62°
800
Upkkhekydkhhdkhd
9514 1404 393
Answer:
x = 65
Step-by-step explanation:
Label the two points where the diagonal lines intersect the baseline A and B, with A on the left.
Obtuse angle A is the sum of the remote interior angles 53° and 80°, so is 133°. Obtuse angle B is the sum of the remote interior angles 50° and 62°, so is 112°. Angle x° is the third interior angle of the small triangle, so is ...
x° = 180° -(180° -133°) -(180° -112°) = 133° +112° -180° = 65°
x = 65
Evaluate 2a^2 – 3ab + b^2 – 4a + b when a = - 4 and b = – 2.
-6
74
18
26
Please no links
Answer:
26
Step-by-step explanation:
Substitute -4 for a and -2 for b
[tex]2a^{2} - 3ab+b^{2}-4a-b\\ 2(-4^{2} )- 3 (-4*-2)+-(2^{2})-4(-4)-2 \\32-24+4+16-2[/tex]
HELP ASAP! LOOK AT PIC PLS
Answer:
E
Step-by-step explanation:
well, yes we know what coins there are and that they’re in jars right? but to find which jar is worth the most, we need to know how many coins are in each. she could have 300 pennies, 2 quarters, 4 dimes, and 7 nickels. we need more information to answer this question so E is the only correct option!
Find the volume of the prism below if each cube has a side length of 1/8 of a foot
Answer:
[tex]Volume = \frac{3}{128}ft^3[/tex]
Step-by-step explanation:
Given
[tex]Length = 1\ cube[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]1\ cube = \frac{1}{8}ft[/tex]
Required
The volume of the cube
Start by calculating the dimension in ft
[tex]Length = 1\ cube[/tex]
[tex]Length = 1 * \frac{1}{8}ft[/tex]
[tex]Length = \frac{1}{8}ft[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Width = 3 * \frac{1}{8}ft[/tex]
[tex]Width = \frac{3}{8}ft[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]Height = 4 * \frac{1}{8}ft[/tex]
[tex]Height = \frac{1}{2}ft[/tex]
So, the volume is:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = \frac{1}{8}ft * \frac{3}{8}ft * \frac{1}{2}ft[/tex]
[tex]Volume = \frac{1}{8} * \frac{3}{8} * \frac{1}{2}ft^3[/tex]
Using a calculator, we have:
[tex]Volume = \frac{3}{128}ft^3[/tex]
Plz help me well mark brainliest if correct....................................................!??????pppppppppppppppppppppppppppppppplllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
71
Step-by-step explanation:
cumulative means all together
The table shows all possible outcomes when Juan tosses a penny, a nickel, and a quarter at the same time.
Answer:
A
Step-by-step explanation:
How many people were surveyed for the frequency table below?
6
25
63
8
Answer:
25 people were surveyed.
Step-by-step explanation:
Add up the frequency.
need help please someone
Answer:
56.55
Step-by-step explanation:
Solution
V=
π
r
2
h
=
π
3
2
2
≈
56.54867
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
Answer Options:
.Infinitely many solutions exist because the two situations describe the same line.
.Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
.No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
.Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
12. The temperature was –3° C last night. It is now 4° C. What was the
change in temperature?
Answer:
7
Step-by-step explanation:
-3 + 3 = 0
0 + 4 = 4
4 + 3 = 7
Answer:
[tex]7^\circ\text{C}[/tex]
Step-by-step explanation:
Calculate second temperature minus the first one.
4 - (-3) = 4 + 3 = 7
Find the area of the figure
area: units2
Answer:
24
Step-by-step explanation:
Answer: 25 units^2
Step-by-step explanation:
This is the correct answer
What is the midpoint of the line segment with endpoints (1,2) and (7,8)?
Answer:
(4,5)
Step-by-step explanation:
Use the midpoint formula
(( x1 + x2)/2, (y1 + y2)/2 )
USING A2+B2=c2
For the following right triangle, find the side length x.
DELL
Answer:
[tex]x=15[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse), a and b are the other sides of the right angled triangle.
In this question, c is labelled as [tex]x[/tex].
Therefore, we can use the theorem to find [tex]x[/tex].
[tex]x^2 = a^2+b^2[/tex]
So, substitute in the other sides and solve for [tex]x[/tex].
[tex]x^2 = (9)^2 + (12)^2\\x^2 = 81 + 144\\x^2 = 225\\x = 15[/tex]
We can see the answer is correct because it is meant to be the largest side and [tex]15> 12>9[/tex].
This table represents function f.
If function g is a quadratic function that contains the points ( -3, 5 ) and ( 0, 14 ), which statement is true over the interval [ -3, 0 ] ?
A. The average rate of change of f is the same as the average rate of change of g.
B. The average rate of change of f is less than the average rate of change of g.
C. The average rate of change of f is more than the average rate of change of g.
D. The average rates of change of f and g cannot be determined from the given information.
The true statement over the interval [-3, 0] is: B. average rate of change of function f is less than that of function g.
What is the Average Rate of Change of a Function?Over a given interval, the average rate of change of a function is found using the formula: change in y / change in x = f(b) - f(a) / b - a.
Average rate of change of function g over [-3, 0]:
a = -3, f(a) = 5
b = 0, f(b) = 14
Average rate of change = (14 - 5)/(0 - (-3)) = 3
Average rate of change of function f over [-3, 0]:
a = -3, f(a) = -4.5
b = 0, f(b) = 0
Average rate of change = (0 - (-4.5))/(0 - (-3)) = 1.5
Therefore, the correct answer is: B. average rate of change of function f is less than that of function g.
Learn more about average rate of change on:
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the question is in the picture
Answer:
Correct option is c, -15
Find the slope
2/3
-2/3
3/2
-3/2
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
O There are a three solutions because 8, 9, and 10 are possible solutions.
O There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answer:
Option 4
Step-by-step explanation:
Let any two real number a and b (no matter +ve, -ve or 0). a ≥ b
The average of them will always lie in between them or be equal(if 0).
Let's prove : According to the statement,
a ≥ (a + b)/2 ≥ b
2a ≥ a + b ≥ 2b
2a ≥ a + b and a + b ≥ 2b
a ≥ b and a ≥ b, as we assumed.
Moreover, as the average exists in between a and b, we have the average (a + b)/2. Similarly, there exists one more average of (a + b)/2 and a or b, which definitely lie between a and b as (a + b)/2 lies there and smaller than a and b.
In the same order, we can have many average and the process would stop. This leads to infinite number between a and b.
Notice that we talked about all the numbers moreover there are many irrational(non-terminating like 9.898989.... etc numbers as well.
Option (4), infinite solutions.
Note: we solved for all the number (not specifically odd, even, natural, whole, integer, etc).
which system of equations does this graph represent?
1) y=x^2-5
y=-x+1
2) y=x^2-5
y=-x-1
3) y=x^2+5
y=-x+1
4) y=x^2+5
y=-x-1
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
4. If a =4, b=1, c=2, find the values of the following terms:
a)a + b c b)abc
Answer:
a) 6, b) 8
Step-by-step explanation:
a) a+bc
=4+1.2
= 4+2
= 6
b) abc
=4.1.2
=4.2
=8
12 m
Find the area
of this figure.
15 m
ա 8
sq. meters
5 m
5 m
Answer:
164 hope it helps have a great day Mark me as
The cost of purchasing a bag of rice is partly constant and partly varies inversely as the square root of the number of people demanding the bag. when the cost was 100 naira the number of people were 36 when the cost was 150 naira the number of people were 144. Find
1. The cost when the number of people were 225.
The number of people when the cost was 200 naira
Answer:
(a) 160 Naira
(b) Undefined
Step-by-step explanation:
Given
Let:
[tex]y \to[/tex] cost of bag of rice
[tex]x \to[/tex] people demanding the bag
So, we have:
[tex]y\ = \frac{k}{\sqrt x} + c[/tex] ---- The variation
[tex]y = 100; x = 36[/tex]
[tex]y = 150; x = 144[/tex]
We have:
[tex]y\ = \frac{k}{\sqrt x} + c[/tex]
When: [tex]y = 100; x = 36[/tex]
[tex]100 = \frac{k}{\sqrt {36}} + c[/tex]
[tex]100 = \frac{k}{6} + c[/tex] -- (1)
When: [tex]y = 150; x = 144[/tex]
[tex]150 = \frac{k}{\sqrt {144}} + c[/tex]
[tex]150 = \frac{k}{12} + c[/tex]--- (2)
Subtract (1) from (2)
[tex]150 - 100 = \frac{k}{12} - \frac{k}{6} + c - c[/tex]
[tex]50 = \frac{k}{12} - \frac{k}{6}[/tex]
Multiply through by 12
[tex]600 = k - 2k[/tex]
[tex]600 = -k[/tex]
[tex]k = -600[/tex]
To solve for x, we have:
[tex]100 = \frac{k}{6} + c[/tex] -- (1)
This gives:
[tex]100 = \frac{-600}{6} + c[/tex]
[tex]100 = -100 + c[/tex]
[tex]c = 100 + 100[/tex]
[tex]c = 200[/tex]
So, the equation is:
[tex]y\ = \frac{k}{\sqrt x} + c[/tex]
[tex]y = -\frac{600}{\sqrt x} + 200[/tex]
Solving (1): y; when x = 225
We have:
[tex]y = -\frac{600}{\sqrt x} + 200[/tex]
[tex]y = -\frac{600}{\sqrt {225}} + 200[/tex]
[tex]y = -\frac{600}{15} + 200[/tex]
[tex]y = -40 + 200[/tex]
[tex]y = 160[/tex]
Solving (2): x; when x = 200
We have:
[tex]y = -\frac{600}{\sqrt x} + 200[/tex]
[tex]200 = -\frac{600}{\sqrt x} + 200[/tex]
Collect like terms
[tex]\frac{600}{\sqrt x} = 200 - 200[/tex]
[tex]\frac{600}{\sqrt x} =0[/tex]
Cross multiply
[tex]600 =0 * \sqrt x[/tex]
[tex]600 =0[/tex]
x is undefined
Which could be the graph of y - 3*?
A)
B)
D)
Answer:
Option D is correct
Step-by-step explanation:
Hope it is helpful....
Solve the quadratic function by completing the square. What are the missing pieces in the steps?
-32 = 2(x2 + 10x)
-32 + = 26x2 + 10x +25)
18 = 2(x + 5)2
9 = (x + 5)2
=X+5
x = -2 or x =
Answer:
Step-by-step explanation:
Given quadratic equation is,
-32 = 2(x² + 10x)
-32 + 50 = 2(x² + 10x + 25)
18 = 2(x + 5)²
9 = (x + 5)²
± 3 = (x + 5)
x = -2 or x = -8
Is x = 13 a solution to the equation x - 9 = 4? please answer ASAP
Answer:
yea
Step-by-step explanation:
x=13 so 13-9=4
1
How does the graph of g(x) =
X+4
-6
compare to the graph of the parent function RX)=
- ?
g(x) is shifted 4 units right and 6 units up from f(x).
O g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
O g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
[tex]g(x) = f(x+4) - 6[/tex]
Transformation 1:
[tex]g(x) = f(x+4)[/tex]
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
[tex]g(x) = f(x+4) - 6[/tex]
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).