Answer:
c. one-tailed test, with rejection region in the upper tail.
Step-by-step explanation:
One tailed test is statistical test in which critical area of distribution is one sided and greater or less than certain value. One tailed test can be left or right sided depending on the population distribution. Rejection region of the one tailed test will determine whether to accept or reject the null hypothesis.
if you are just given the two points it is the same formula. Find the midpoint between the points (4,−5) and (−4,5).
Answer:
[tex]M = (0,0)[/tex]
Step-by-step explanation:
Given
[tex](4,-5)[/tex] and [tex](-4,5)[/tex]
Required
The midpoint (M)
This is calculated as:
[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]
So, we have:
[tex]M = \frac{1}{2}(4-4,-5+5)[/tex]
[tex]M = \frac{1}{2}(0,0)[/tex]
[tex]M = (0,0)[/tex]
One wall inside an art studio is used to display paintings with oval frames and rectangular
frames. There are a total of 68 paintings on this display. There are 3 times as many
rectangular frames as there are oval frames in this display. How many oval frames and
rectangular frames are on the display?
Answer:
Oval frames = 17
Rectangular frames = 51
Step-by-step explanation:
Given that :
Paintings on wall are either oval or rectangular ;
Let :
Oval painting = x
Rectangular painting = y
According to the information given :
x + y = 68 - - (1)
Rectangular frames = 3 times oval frames
y = 3x - - - (2)
Put y = 3x in equation (1)
x + 3x = 68
4x = 68
x = 68/4
x = 17 frames
From :
x + y = 68
17 + y = 68
y = 68 - 17
y = 51
Oval frames = 17
Rectangular frames = 51
In what time will #250 gain #120 at 2%
Answer: 24 years
Step-by-step explanation:
Based on the information given, we've been given,
Principal = #250
Interest = #120
Interest rate = 2%
Time = Unknown
Interest = PRT/100
120 = (250 × 2 × Time)
Cross multiply
120 × 100 = (250 × 2 × T)
12000 = 500T
Time = 12000/500
Time = 24
It will take 24 years.
Assume that the tunnel in Exercise 3.132 is observed during ten two-minute intervals, thus giving ten independent observations Y1, Y2,..., Y10, on the Poisson random variable. Find the probability that Y > 3 during at least one of the ten two-minute intervals
Answer: hello the exercise is missing from your question below is the missing exercise for reference
answer:
0.1745
Step-by-step explanation:
Determine P ( Y > 3 )
Given that y follows Poisson distribution with mean
P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]
assuming that yi represents number of autos that will enter the tunnel and
also let A represent Y > 3 at one of the ten two-minute interval
step 1 : hence finding P(A )
= P(Y > 3 ) = 1 - P( Y≤ 3 )
= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]
= 0.018988
since the ten observations are independent
P(X≥ 1 ) = 1 - P( X = 0 )
= 1 - [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex] * (0.018988)^0 ( 1 - 0.018988)^10-0
= 1 - 0.8255 = 0.1745
Select the correct answer.
Given: ΔABC
Prove: The sum of the interior angle measures of ΔABC is 180°.
Answer:
C
Step-by-step explanation:
When ever a problem gives information about parallel lines, look for Alternate Interior angles.
Answer:
A
Step-by-step explanation:
A company manufactures two products. Market research and available resources require the following
constraints:
• The number of units of product A manufactured, 2, is at most 500 units more than twice the number
of units of product B. y.
• The square of the company's profit is equal to the sum of 35 times the number of product A units
sold and 50 times the number of product B units sold.
If the company expects weekly profits to exceed $22,500, which pair of inequalities represents these
constraints?
will give brainliest + 50 points :)
The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of product A and y represent the number of product B, hence:
x ≤ 500 + 2y (1)
Also:
35x + 50y > 22500² (2)
The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²
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Find the area and circumference of each circle
Answer:
Step-by-step explanation:
Area = [tex]Area = \pi r^2 = \pi(3)^2 = 9\pi = 28.27\\Circumference = 2\pi r = 2\pi 3 = 6\pi = 18.85[/tex]
Answer:
[tex]area = 28.27 {m}^{2} \\ c = 18.84m[/tex]
Explanation is attached to the picture
Hope this helps you.
Plzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeee i do anything just help
Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.
a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.
b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.
c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.
d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.
e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.
f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?
Answer:
8
Step-by-step explanation:
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x,y)= e^xy; X^3+y^3=16
Answer:
f(x,y) = [tex]e^{xy}[/tex] is maximum at x = 2 and y = 2 and f(2,2) = [tex]e^{4}[/tex]
Step-by-step explanation:
Since f(x,y) = [tex]e^{xy}[/tex] and x³ + y³ = 16, Ф(x,y) = x³ + y³ - 16
df/dx = y[tex]e^{xy}[/tex], df/dy = x[tex]e^{xy}[/tex], dФ/dx = 3x² and dФ/dy = 3y²
From the method of Lagrange multipliers,
df/dx = λdΦ/dx and df/dy = λdΦ/dy
y[tex]e^{xy}[/tex] = 3λx² (1) and x[tex]e^{xy}[/tex] = 3λy² (2)
multiplying (1) by x and (2) by y, we have
xy[tex]e^{xy}[/tex] = 3λx³ (4) and xy[tex]e^{xy}[/tex] = 3λy³ (5)
So, 3λx³ = 3λy³
⇒ x = y
Substituting x = y into the constraint equation, we have
x³ + y³ = 16
x³ + x³ = 16
2x³ = 16
x³ = 16/2
x³ = 8
x = ∛8
x = 2 ⇒ y = 2, since x = y
So, f(x,y) = f(2,2) = [tex]e^{2 X2}[/tex] = [tex]e^{4}[/tex]
We need to determine if this is a maximum or minimum point by considering other points that fit into the constraint equation.
Since x³ + y³ = 16 when x = 0, y is maximum when y = 0, x = maximum
So, 0³ + y³ = 16
y³ = 16
y = ∛16
Also, when y = 0, x = maximum
So, x³ + 0³ = 16
x³ = 16
x = ∛16
and f(0,∛16) = [tex]e^{0X\sqrt[3]{16} } = e^{0} = 1[/tex].
Also, f(∛16, 0) = [tex]e^{\sqrt[3]{16}X0 } = e^{0} = 1[/tex].
Since f(0,∛16) = f(∛16, 0) = 1 < f(2,2) = [tex]e^{4}[/tex]
f(2,2) is a maximum point
khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter, what will be the length of the arc of each slice of cake.
Answer:
4.2
Step-by-step explanation:
The length of the arc of each slice of cake will be 4.18 inches if Khali shares the cake between him and 5 friends equally.
What is the circumference of a circle?
The circumference is the length of the outer boundary of the circle. It can be calculated as under:
Circumference=2πr
How to find length of arc?
We have been given that the diameter of the cake is 8 inches So, the radius becomes 4 inches. We have to calculate the circumference of the cake. so the circumference becomes:
Circumference=2π(4)=8π
=8*22/7
=25.1
Then we have to divide it into 6 people so it will be 25.1/6=4.18 inches.
Hence the length of the arc will be 4.8 inches.
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Một người gửi tiết kiệm tại ngân hàng một số tiền là 120 triệu đồng vào đầu mỗi năm theo thể thức lãi kép kỳ hạn một năm với lãi suất cố định 6,5%/ năm.
a) Hỏi sau 3 năm, số tiền gốc cộng lãi mà người đó nhận được là bao nhiêu ?
b) Hỏi sau bao nhiêu năm thì tổng số tiền nhận được lần đầu vượt quá 1,1 tỷ đồng.
Answer: lil t j
Step-by-step explanation:
I’m not a goat but I fit the description we walk around with then bands in my pocket
A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream. Find the rate of the boat in still water and the rate of the current.
Step-by-step explanation:
Given that,
A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,
We know that,
Speed = distance/time
The rate while moving downstream[tex]=\dfrac{60}{3}=20\ mph[/tex]
The rate while moving upstream [tex]=\dfrac{60}{5}=12\ mph[/tex]
The rate of the boat in still water is the average of these:
[tex]v_s=\dfrac{20+12}{2}=16\ mph[/tex]
The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph
Hence, this is the required solution.
by selling 33m of cloth ,prabha gained the selling price 11 m.what is the gain percent
Answer:
The gain percent is 33.3 %
Step-by-step explanation:
Let the selling price of 1 m cloth is p.
Cost of 33 m = 33 p
gain = cost of 11 m = 11 p
The gain percentage is given by
[tex]\frac{11 p}{33 p}\times 100\\\\= 33.3 %[/tex]
The gain percent is 33.3 %.
HELPPPPPPPP PLS!!!!!!!
Answer:
(15x + 120) ft³
Or
15(x + 8) ft³
Step-by-step explanation:
The prism can be decomposed into a rectangular prism and a triangular prism
The volume of the prism = volume of the rectangular prism + volume of the triangular prism
✔️Volume of rectangular prism = L*W*H
L = 5 ft
W = 4 ft
H = 6 ft
Volume = 5*4*6 = 120 ft³
✔️Volume of triangular prism = ½*b*h*l
b = x ft
h = 6 ft
l = 5 ft
Volume = ½*x*6*5 = 15x ft³
✔️Volume of the prism = (15x + 120) ft³
PROBIBILITY HELP ME PLZ Mike is playing a game where a ball is hidden under one of 5 cups. Mike guesses which cup contains the ball 20 times and chooses correctly 6 times. Mike wants to simulate the game to determine if his results are the same as what would be expected by random chance.
Answer:
Choose 1 ball from a bag with 1 red ball and 4 white balls. Record the color, replace the ball and repeat the experiment 20 times.
Step-by-step explanation:
Given
[tex]Cups = 5[/tex]
[tex]Ball=1[/tex]
[tex]Trials = 20[/tex]
See attachment
Required
Simulate the above experiment (fill in the gaps)
The probability of choosing a ball correctly in each trial are independent, and each probability is calculated as:
[tex]P(Correct) = \frac{Ball}{Cups}[/tex]
This gives:
[tex]P(Correct) = \frac{1}{5}[/tex]
The number of times (i.e. 6) he chose correctly is not a factor in his simulation
So, a correct simulation of the experiment is as follows:
Choose 1 ball from a bag with 1 red ball and 4 white balls. Record the color, replace the ball and repeat the experiment 20 times.
The selected ball represents the number of balls hidden (i.e. 1 ball).
The total number of balls (5 balls; i.e. 1 red and 4 white) represent the number of cups (5 cups)
The 20 times represent the number of times the experiment is repeated.
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below. Types of restaurants (fast food, organic food, sea food, etc.)A. The ratio level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point. B. The nominal level of measurement is most appropriate because the data cannot be ordered. C. The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point. D. The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless.
Answer:
B. The nominal level of measurement is most appropriate because data cannot be ordered.
Step-by-step explanation:
Nominal scale is used when there is no specific order scale and data can be arranged according to name. Ordinal scale requires variables to be arranged in specific order. For fast food restaurant the best scale used is nominal scale as variables can be arranged according to their name without specific order.
Question 6 of 40
Which recursive formula can be used to represent the sequence
2, 6, 10, 14, 18, ... ?
& - 2
O A.
&, - 87-704
ay - 2
O B.
an - 2n-1-4
C. &-0
an - 2n-1 + 4
D.
ay - 2
an - 8-1 + 4
Gays
Step-by-step explanation:
I cannot really identify and read the provided answer options.
the solution to the sequence 2, 6, 10, 14, 18, ... is
an = 4×(n-1) + 2
recursive that is
a1 = 2
an = an-1 + 4
please pick the right option in your original problem definition that fits to this solution.
The recursive formula that represents the given sequence is:
[tex]a_n = a_{n-1} + 4[/tex]
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed constant value to the previous term.
This fixed value is called the common difference, and it is the same for all terms in the sequence.
We have,
The given sequence has a common difference of 4 between its consecutive terms.
To represent this sequence using a recursive formula, we can start with the first term and use the common difference of 4 to find each subsequent term.
Let's assume that the first term of the sequence is a1. Then, we can represent the second term [tex]a_2[/tex] as:
[tex]a_2 = a_1 + 4[/tex]
Similarly, we can represent the third term (a3) as:
[tex]a_3 = a_2 + 4[/tex]
Substituting the value of a2 from the above equation, we get:
[tex]a_3 = (a_1 + 4) + 4 = a_1 + 8[/tex]
We can continue this pattern to find the recursive formula for the nth term of the sequence:
[tex]a_n = a_{n-1} + 4[/tex]
where [tex]a_1[/tex]= 2
Thus,
The recursive formula for the given sequence is:
[tex]a_n = a_{n-1} + 4[/tex]
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Translate this phrase into an algebraic expression.
RE
16 increased by twice a number
Use the variable n to represent the unknown numbers
Answer:
16 + 2n
Step-by-step explanation:
n + n is twice of a number, but 2n is simplified. "16 increased by" just represent addition
Find P(0), P(1) and P(2) for each of the following polynomial.
[tex]p(y) = 2 + y + 2 {y}^{2} - {y}^{3} [/tex]
[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \sf \: p(y) = 2 + y + 2y {}^{2} - y {}^{3} [/tex]
[tex] \sf \: p(o) = 2 + (o) + 2(o) {}^{2} - (o) {}^{3} = 2 + 0 + 0 - 0 = 2 [/tex]
[tex] \sf \: p(1) = 2 + (1) + 2(1) {}^{2} - 1 {}^{3} = 2 + 1 + 2 - 1 = 4 [/tex]
[tex] \sf \: p(2) = 2 + 2 + 2(2) {}^{2} - 2 {}^{3} = 4 + 8 - 8 = 4 [/tex]
please help me Solve the following equations simultaneously:
solve for x and y
x+3y =6 and 2x+8y=-12
Answer:
x+3y =6
2x+8y=-12
The solutions to your equations are:
x= 42 and y= -12
lets check this
42+-36 =6
84+-96=-12
Hope This Helps!!!
What is the solution to the inequality x(x – 3) > 0?
Answer:
The solution to the inequality is [tex](-\infty, 0) \cup (3, \infty)[/tex]
Step-by-step explanation:
We have a product, which is positive if both terms is positive or if both is negative.
Both positive:
[tex]x > 0[/tex]
[tex]x - 3 > 0 \rightarrow x > 3[/tex]
Then the intersection of these two is: [tex]x > 3[/tex]
Both negative:
[tex]x < 0[/tex]
[tex]x - 3 < 0 \rightarrow x < 3[/tex]
Then the intersection of those two is: [tex]x < 0[/tex]
Then:
Union of two solutions:
[tex]x < 0[/tex] or [tex]x > 3[/tex]
Then
[tex](-\infty, 0) \cup (3, \infty)[/tex]
8x – 3y = 1
–2x + 3y = 11
Solve a Linear System by Elimination
Write the next three terms in this pattern: 1, 4, 3, 6, 5, 8, 7, …
Answer:
10, 9, 12
Step-by-step explanation:
you spin each spinner and find the sum how many different sums are possible
Answer:
let's use a sample set.
8+8, 8+4, 8+5, 8+6, 8+7
4+8, 4+4, 4+5, 4+6, 4+7
5+8, 5+4, 5+5, 5+6, 5+7
6+8, 6+4, 6+5, 6+6, 6+7
7+8, 7+4, 7+5, 7+6, 7+7
There is 25 sums.
A triangle has two sides length 10 to 14 wht value could the length of the third side be
Answer:
[tex]4 < c < 24[/tex]
Step-by-step explanation:
Given
[tex]a = 10[/tex]
[tex]b = 14[/tex]
Required
The possible length of c
Using triangle inequality theorem, we have:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
So, we have:
[tex]a + b > c[/tex]
[tex]10 + 14 > c[/tex]
[tex]24 > c[/tex]
Also:
[tex]a + c > b[/tex]
[tex]14 + c > 10[/tex]
[tex]c > 10 - 14[/tex]
[tex]c > - 4[/tex]
Lastly;
[tex]b + c > a[/tex]
[tex]10 + c > 14[/tex]
[tex]c > 14 - 10[/tex]
[tex]c > 4[/tex]
Write out all inequalities without negative consideration
[tex]24 > c[/tex]
[tex]c > 4[/tex]
Rewrite as:
[tex]c < 24[/tex] [tex]4 < c[/tex]
Writing both together, we have:
[tex]4 < c < 24[/tex]
Hence, the third side can take its value from the range: [tex]4 < c < 24[/tex]
You roll a die with the sample space s=1,2,3,4,5,6. you define A as (1,2,4) B as (2,3,4,5,6) C as (3,4) and D as (2,4,5). Determine which of the following events are exhaustive and/or mutually exhaustive.
Exhaustive Mutually exclusive
A and B
A and C
A and D
Band C
Answer:
A and B are exhaustive.
Step-by-step explanation:
Given
[tex]A = \{1,2,4\}[/tex]
[tex]B = \{2,3,4,5,6\}[/tex]
[tex]C =\{3,4\}[/tex]
[tex]D = \{2,4,5\}[/tex]
Solving (a): The mutually exclusive events
These are events that have no common or mutual elements
Events A to D are not mutually exclusive because each of the events have at least 1 common element with one another.
Solving (b): Exhaustive events.
Two events X and Y are said to be exhaustive if:
[tex]S = P(X\ n\ Y)[/tex]
i.e. if the sample space equals the intersection of X and Y
For events A to D, we have:
[tex]A\ n\ B = \{1,2,3,4,5,6\}[/tex]
and the sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
By comparison;
[tex]A\ n\ B = S[/tex]
Hence, A and B are exhaustive.
In function notation, f(x) is another way of saying ______.
1.)y
2.)x
3.)or none of the above
Answer:
y
Step-by-step explanation:
In function notation, f(x) is another way of saying y. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Tables, symbols, and graphs can all be used to represent functions. Every one of these interpretations has benefits. Tables provide the functional values of certain inputs in an explicit manner. How to compute direct proportionality is succinctly stated in symbolic representation.
The function is represented as,
y = f(x)
In function notation, f(x) is another way of saying y. Then the correct option is A.
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How would I solve this?
Answer:
20°
Step-by-step explanation:
perpendicular from the center on a chord of a circle always bisects the chord.
AR=BR
∴m arcAC=m arc BC=20°
Jayden drives 22.5 miles in 30 minutes. If he drove one hour in total at the same rate, how far did he go? Before you try that problem, answer the question below. How many minutes did Jayden drive in total?
how far did he go in minutes?
Answer:
45 miles in 1 hour
Step-by-step explanation:
1 hour is 60 minutes
22.5 miles / 30 minutes * 2/2 = 45 miles / 60 minutes = 45 miles in 1 hour
Answer:
He drove 22.5 miles in 60 min. He drove 45 miles in 1 hour
Step-by-step explanation:
22.5 miles in 30 min
1 hour= 60 min
30+30=60
22.5+22.5=45 miles
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the
band's next 14 shows would you expect to have an encore?
shows
The number of times that the band played an encore at 7 out of the next 14 shows.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.
We may use the following percentage to determine how many of the following 14 performances will likely have an encore:
1/2 = x/14
14 = 2x
x = 7
Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.
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