Answer:
90
Step-by-step explanation:
60%-> 54
100%-> 90
There are 90 students vote in the election.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100
Given that
In a student council election, Kyle receives 54 votes for president.
Now,
Let total student votes in election = x
Hence we can formulate
60% of x = 54
60/100 × x = 54
60x = 5400
x = 90
Therefore, There are 90 student votes in the election.
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Let f(x) = x2 and g(x) = x -4. Find (fog)(-1).
(f o g)(x) = f (g (x)) = f (x - 4) = (x - 4)²
→ (f o g)(-1) = (-1 - 4)² = (-5)² = 25
I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answer:
6.07
Step-by-step explanation:
Why do you think the cart rolls farther when it starts from a higher position?
Answer:
It has higher PE which can be converted into kinetic energy. The car also has had more work done on it when its at a higher position.
Step-by-step explanation:
This is because the cart gains speed as it goes from the top of higher point to bottom.
Which equation has exactly one solution?
7
x
=
7
7 x is equal to 7
7
x
=
7
x
7 x is equal to 7 x
x
+
1
=
x
+
1
x plus 1 is equal to x plus 1
x
+
1
=
x
+
2
Step-by-step explanation:
The correct option is first option
7x = 7
Hope it will help :)
Step-by-step explanation:
1st one is your answer look it once
How do you write 7.04 as a mixed number in simpliest form?
- Thanks to anyone who helps me! :)
Answer:
7 1/25
Step-by-step explanation:
7.0400=176/25=7
176 - (25 x 7) = 1
Hope this helps
Does anyone know?????
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.
Which of the following is the correct interpretation of the p -value?
a. If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.
b. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.
c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
d. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.
e. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answer:
C) If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
The direction of the test is to the right of 0.15, because the researchers hypothesize that the proportion in region B is greater than the proportion in region A. The p-value is the probability of observing a sample difference of at least 0.15 if the null hypothesis is true.
You can use the fact that the p-value denotes the probability of the area to the right of the test statistic and symmetrically to the left(if the test is two tailed, else its just on the right tail)
The option that is the correct interpretation of the p-value is:
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34
What does p value shows in the hypothesis testing?A p value helps us to decide whether to accept or reject the null hypothesis. If the obtained p value is smaller than the level of significance, then we reject the null hypothesis else we accept it.
The p value shows the area to the right of the test statistic(in the right tail after the plot of test statistic on the x axis)
It shows both right and left tail symmetrically if the test is two tailed.
Since the test statistic is difference between the sample proportions and the alternate hypothesis is testing if the difference is greater than 0.15 or not. Thus, it is single tailed test.
Due to this, the p value is showing if the test statistic is 0.15 or to the right which is higher that 0.15 thus, p value is showing the probability that the test statistic is at least 0.15 is given by 0.34
Thus,
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
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Will give brainliest
Answer:
square, parallelogram, rectangle, rhombus
Step-by-step explanation:
Considering the answer choices:
Square
Regular pentagon
Parallelogram
Rectangle
Rhombus
It can't be a pentagon because it only has four sides.
Properties of the shapes:
Rectangle - quadrilateral with two sets of congruent opposite sides and four right angles.
Rhombus - quadrilateral with four congruent sides.
Square - quadrilaterals with all properties of rectangles and rhombi.
Parallelogram - rectangles, rhombi, and squares are parallelograms.
This shape satisfies the properties of a square, meaning it is also a rectangle, rhombus, and parallelogram.
The measure of angle D is 55°, the measure of angle E is 85°, and
the measure of angle F is 10x. What is the value of x?
[tex]x = 4[/tex]
55+85=140
180-140=40
10x=40
divide by ten on each side
x=4
In a manufacturing plant, a work center is a specific production facility that consists of one or more people and or machines and is treated as one unit for the purposes of capacity requirements planning and job scheduling. If the jobs arriveat a particular work center at a faster rate than they depart, the work center impedes the overall production process and is referred to as a bottleneck. This sample was collected by an operations manager for use in investigating a potential bottleneck work center. There are 315 hours in the work week when items can come into the work center. The manager selects every 15th hour and counts how many items come into the work center during that hour. What type of sample is this?
Answer:
Systematic sampling
Step-by-step explanation:
Systematic sampling is a sampling technique in which the first sample selection is a random selection but other subsequent selection of samples occurs within a fixed sampling interval. The determination of this interval is based on the division of the population size by sample size.
Let assume that, our first random selection is [tex]i^{th}[/tex] unit, then the other fixed selection occurs at a fixed sampling interval of k.
Therefore, using systematic sampling method, the sampling unit will be every [tex]k^{th}[/tex] unit after the [tex]i^{th}[/tex] unit.
From the question given:
We notice that the manager selects a sampling unit every 15th hour. This tells us that he is taking the sampling unit by the usage of a fixed time interval.
Hence, this appears to be a systematic sample.
Enter your answer in simplest form.
4 ×
3
5
=
4 · 35 = 140
Hope this helps! Good luck. :)
Answer: since they're stacked, i cant tell if that's a fraction or decimal, or just whole numbers so...
4 times 35 = 140
4 times 3/5 = 2 2/5
4 times 3.5 = 14
Step-by-step explanation:
A store discounted a the new iPhone by 10%. If the original price was $630, how much
was the discount? (How much was taken off the original price?)
Answer:
63
Step-by-step explanation:
630 x .1
What is 4x - 8x + 11 + 24
Problem 3) A, B, and C are evenly matched tennis players. Initially A and B play a set and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players has won two sets in a row. That player is then declared the overall winner. Find the probability that A is the overall winner.
Answer:
the probability that A is the overall winner is 5/14 or 0.35714
Step-by-step explanation:
Given the data in the question;
probability that A is the overall winner P[A is the overall winner]
⇒ [tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex] [tex]P_{A}[/tex] + ................
= [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex] + ........
P(A) = [tex]\frac{1}{2}[/tex] = [tex]P_{B}[/tex] = [tex]P_{C}[/tex] ∴{ they are evenly matched player}
so P(A is overall winner) will be;
= ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁵ + ([tex]\frac{1}{2}[/tex])⁸ + ..........+ ([tex]\frac{1}{2}[/tex])⁴ + ([tex]\frac{1}{2}[/tex])⁷ + ([tex]\frac{1}{2}[/tex])¹⁰ + .............
= ([tex]\frac{1}{2}[/tex])² [1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........] + ([tex]\frac{1}{2}[/tex])⁴[1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........]
= [ ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁴ ] [ 1 / 1 - ([tex]\frac{1}{2}[/tex])³ ]
= [ ([tex]\frac{1}{4}[/tex]) + ([tex]\frac{1}{16}[/tex]) ] [ [tex]\frac{8}{7}[/tex] ]
= [tex]\frac{5}{16}[/tex] × [tex]\frac{8}{7}[/tex]
= 5/14 or 0.35714
Therefore, the probability that A is the overall winner is 5/14 or 0.35714
The probability that A is the overall winner is; 5/14
Let P be the chance that a player will win the tournament when he gets a new opportunity to play against the victor of the previous game.Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; [tex]P_{L}[/tex] = 0
However, If the player wins first, and then loses his next game, it means that such a player will have to hope for a new opportunity. What this implies is that the player to whom he lost to will not win the next game. The probability of this happening is; [tex]P_{WLX}[/tex] = ¹/₂ × ¹/₂ × ¹/₂;[tex]P_{WLX}[/tex] = ¹/₈
Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;
¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) + (¹/₄ × ¹/₈³ ) + ........
Now, for that series, as n approaches infinity, the sum of the series would give us;
∑ = ¹/₄(1/(1 - ¹/₈ ))
⇒ ¹/₄(⁸/₇)
⇒ ²/₇
Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;
[1 - (²/₇)]/2
⇒ ⁵/₇ × ¹/₂
P(A) = P(B) = ⁵/₁₄
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Find the distance between A and B.
Ahh I need help
what are the options please ?
William earns £9.30 for 1 half hours of work.
Work out how much he would earn for:
A) 30 minutes
B) 5 hours
Answer:
a)3.10
b)31
Step-by-step explanation:
a) 1 half hour = 90 min
90÷30=3
9.30÷3=3.10
b)5 hrs -> 300 min
300÷30=10
10x3.10=31
If n<5, then n<3 true or false pls help me?!?
A TV originally priced at $800 was reduced to $600. What was the percentage discount given?
Answer:
20%
Step-by-step explanation:
A farmer sells 7.8 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market? ;)
The farmer sold 1.95 kg of apples at the farmer's market.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that a farmer sells 7.8 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples.
Since 3/4 of the weight is pears, then 1/4 of the weight must be apples.
We can find 1/4 of the weight by dividing 7.8 by 4:
7.8 kg ÷ 4 = 1.95 kg
So the farmer sold 1.95 kg of apples at the farmer's market.
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1) if y is proportional to x , find an equation that connects them given that y = 24 when x = 4
Answer:
175 I think
Step-by-step explanation:
I don't know really sorry
what is |8|
-16
–8
8
16
Answer:
8
Step-by-step explanation:
Anything in an absolute value is positive.
A soccer team must raise at least $660 buy new equipment. To reach this goal, each of the 12 soccer players sells tickets
to a game. Tickets cost $2.75 each. The school athletics fund donates an additional $10 per player. The situation is
modeled by the inequality shown,
12(2.75r + 10) 660
How many tickets must each player sell to raise the money?
A at least 19
B at least 17
C at least 16
D at least 20
Answer:
At least 17
Step-by-step explanation:
12(2.75r+ 10)≥ 660
33r+120≥ 660
33r≥ 540
r≥ 16.36
You can't sell 0.36 of a ticket to they need at least 17
. If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?
The total distance traveled was 638.3m.
How to calculate the distance traveled?To calculate the perimeter of a circle we perform the following operations:
We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.
100m ÷ 2 = 50mSo the radius of this circle is 50m.
Subsequently, to find the perimeter of the circle we apply the following formula:
2 × π × radius of the circle = perimeter of the circle.2 × 3.14 × 50 = 314.15mAccording to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:
314.15m × 2 = 638.3m
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A bag contains colored tiles.
. 3 tiles are red
.6 tiles are green
. 3 tiles are blue
A lile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
Answer:
50%
Step-by-step explanation:
there are 12 total, half are green
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
x = 122
Step-by-step explanation:
An exterior angle of a triangle = sum of the other two interior angles.
x = 90 + 32
x = 122
store A sells boxes of rice for $2.50 each
Answer:
I need more information
Step-by-step explanation:
Answer:
i need to see the full word problem to help you
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
I think the answer is 3/4^2
Answer:
1/2
Step-by-step explanation:
What's the correct formula for this function?
Answer:
Option C. y = -2x + 3
Step-by-step explanation:
When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...
y = mx + 3
And as I said earlier since the slope is negative, the only right option is this case will be Option C
Answer:
The correct anwer is (C) : y = - 2x + 3
Guys help me with this question please
Answer:
2/7
Step-by-step explanation:
From 8 am to 3 pm, there are 7 hours, and the price changed $2 (52 - 50 = 2)
In order to find the Change in price per hour, divide the total price change by the number of hours. (in most questions with the word "per", it is a division problem)
2$ / 7hrs = 2/7 dollars per hour
1) What number comes after 234 base 5. Explain
2)What number comes before 210 base 5. Explain
9514 1404 393
Answer:
1) 240
2) 211
Step-by-step explanation:
The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...
When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.
234₅ +1 = 240₅
210₅ +1 = 211₅