Answer:
0.143
Step-by-step explanation:
From counting principle, we can say that:
There are 7! ways of the 7 people to arrive first. Any one of them can come first. But, what is the probability that Xerxes with arrive first?
We take that Xerxes is the first one to arrive, then from the 7 - 1 = 6 remaining people, they can arrive in 6! ways. So
Probability Xerxes arrives first = 6!/7! = 0.1429
Rounding to 3 decimal places, it will be:
Probability Xerxes arrives first = 0.143
Please I really need help on this question, I would be grateful for any help given
Answer:
360
Step-by-step explanation:
break it up into two boxes. on will be 6x8x5. the other will be 6x4x5. find the area of them apart then add it together you get
Answer:
1320
Step-by-step explanation:
cut the diagram into two parts....left rectangle and right and add together.
left
V = l x w x h
= 5 x 6 x 12
=360
right
12 x 10 x 8
=960
NEED RN, WORTH 50!
What is the value of x?
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Make an equation
[tex]\frac{32}{40} = \frac{4}{x}[/tex]
Step 2: Cross multiply
[tex]\frac{32}{40} = \frac{4}{x}[/tex]
[tex]32 * x = 4 * 40[/tex]
[tex]32x = 160[/tex]
Step 3: Divide both sides by 32
[tex]32x / 32 = 160 / 32[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]
Felix's parents opened a savings
account for him when he was born with
a $2,000 deposit. The account earns 6%
compound interest, compounded
annually. How much money will be in
Felix's account when he is 21?
The money in the Felix's account will be $6798 when he is 21.
Step-by-step explanation:
It is given that,
The amount deposited is $2000.The account earns 6% compound interest.It is compounded annually for 21 years.To find the money in Felix's account after 21 years :
The formula used here is,
⇒ [tex]A = P(1+r/n)^{nt}[/tex]
where A is the amount after 21 years.
P is the initial amount deposited ⇒ P = 2000r is the rate ⇒ r = 0.06n is the number of times interest is compounded per year⇒ n = 1 t is the time period ⇒ t = 21⇒ [tex]2000(1+0.06/1)^{21\times 1}[/tex]
⇒ [tex]2000(1.06)^{21}[/tex]
⇒ [tex]2000\times3.399[/tex]
⇒ [tex]6798[/tex]
Therefore, The money in the Felix's account will be $6798 when he is 21.
Is the pair of numbers x=1 5/7 and y=4 2/7 the solution to the equation x+y=6? Find two more solutions to the equation.
Yes 1 5/7 and 4 2/7 is a solution. Adding those two numbers equals 6 because 5/7 + 2/7 = 1, then you have 4 + 1 +1 = 6
Two other solutions to x + y = 6 are any combinations of numbers when added together equal 6.
x = 5, y = 1
and
x = 2, y = 4
Which statements are true about the experimental and theoretical probability of this trial?
Jacob's Coin Flips. Heads occurs 68 times and tails occurs 32 times.
The theoretical probability of landing heads up is less than the experimental probability of landing heads up.
The experimental probability of landing tails up is less than the theoretical probability of landing tails up.
The experimental probability of landing heads up is less than the experimental probability of landing tails up.
The experimental probability of landing heads up is equal to the theoretical probability of landing heads up.
Answer:
the correct answer is A and B
Step-by-step explanation:
i found this by guessing on the question and getting it correct. Also yeet leave five stars and and thanks if u are a swaglord with drip unknown to human kind.
The theoretical probability of landing heads up is less than the experimental probability of landing heads up. Statement 2 is true.
How to calculate the probability?Jacob flipped a coin and got heads 68 times and tails 32 times. The total number of flips is not given, so we cannot determine the exact probability of getting either heads or tails. However, we can make some statements about the experimental and theoretical probability based on the information given.
The theoretical probability of landing heads up is 0.5 or 50%, assuming the coin is fair and has two equally likely outcomes. The experimental probability of landing heads up is 68/(68+32) = 0.68 or 68%, which is greater than the theoretical probability of 50%. Therefore, the statement "The theoretical probability of landing heads up is less than the experimental probability of landing heads up" is false.
The theoretical probability of landing tails up is also 0.5 or 50%, assuming the coin is fair. The experimental probability of landing tails up is 32/(68+32) = 0.32 or 32%, which is less than the theoretical probability of 50%. Therefore, the statement "The experimental probability of landing tails up is less than the theoretical probability of landing tails up" is true.
We cannot compare the experimental probability of landing heads up with the experimental probability of landing tails up without knowing the total number of flips. Therefore, the statement "The experimental probability of landing heads up is less than the experimental probability of landing tails up" may or may not be true.
The experimental probability of landing heads up is 0.68 or 68%, and the theoretical probability of landing heads up is 0.5 or 50%. Therefore, the statement "The experimental probability of landing heads up is equal to the theoretical probability of landing heads up" is false.
In summary, statement 2 is true and statements 1, 3, and 4 are false.
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In the diagram below, what is the approximate length of the minor arc DE?
А. 6.3 cm
В. 3.1 cm
с. 5.2 cm
D. 7.9 cm
Answer:
6.3cm
Step-by-step explanation:
The approximate length of the minor arc DE will be 6.3 cm. Then the correct option is A.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Then the angle is subtended by the arc is 36° and the radius of the circle is 10 cm.
Then the length of the arc DE will be
[tex]\rm ARC = \dfrac{\theta }{360} \times 2\pi r[/tex]
Then we have
[tex]\rm ARC = \dfrac{36}{360} \times 2\pi \times 10\\\\ARC = 6.283 \approx 6.3\ cm[/tex]
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j/15=20 what does j equal?
Answer:
j=300
Step-by-step explanation:
You multiply each side by 15.
j=300
Answer:
j should equal 300.
Step-by-step explanation:
j/15=20
you have to get j by its self. what you do to one side you must do to the other.
j/15(15) = 20(15)
the fifteens cancel out
j=300
what is the solution to x^2 = 121?
Answer: {11, -11}
Step-by-step-explanation: To solve for x in this equation, since x is squared, we simply take the square root of both sides of the equation to get x by itself.
It's important to remember however that when taking the square root of both sides of an equation, we always use plus or minus.
In other words in this problem, since x² = 121,
x = + or - 11.
A common mistake is to say that x is just equal to 11. But notice that if you plug a -11 back into the original equation, it also checks.
So our answer to this problem is {11, -11}.
Answer: either 11 or -11
Step-by-step explanation:
you have to square root both sides. Then, you are left with the equation [tex]\sqrt{x^{2} } = \sqrt{121}[/tex]. That means that x either equals to 11 or -11.
:)
At City Financial Bank, they have offered Haley a 7% compound interest rate. If she invests $1400 for 4 years. If they give her a compound interest rate, how much INTEREST will Haley earn at Prosper Financial Bank?
Answer:
I'm not quite sure but maybe 392??? I really don't know tho
Step-by-step explanation:
1400*4= 5600, 5600*7= 39200, 39200/100= 392
A plane takes off from City A and goes towards city B at noon. After arriving in city B it has a 5 hour layover before returning. During the return flight the plane runs into a headwind that causes it to go 20 mph slower than the original flight and makes the flight back one more take one extra hour more than the original time. Write an equation that represents the total time traveled with clearly labeled variables
5y² + 2xy – 20x - 100
Step-by-step explanation:
Assume that the distance between City A and City B is x miles,
& the speed of the plane from City A to B is y mph;
The return trip is 20 mph slower so the plane's speed is (y – 20) mph
Since time = distance/speed; The time taken by the plane from City A to B is x / y hrs.
The time taken in return flight is;
x / (y - 20) hrs
The layover was 5hrs long. Therefore the total time taken on the who return trip journey is;
x/y + x/(y-20) + 5
multiply each individual fraction with the LCM of the denominators
x(y-20) + xy + 5 y(y-20)
xy -20x +xy + 5y² – 100
5y² + 2xy – 20x - 100
The speed of light is 3.105 kilometers per second. What is that in standard form?
Answer:
This is the standard form. Nothing else can be done with answer. Maybe your question was asking for something else.
Step-by-step explanation:
Combine like terms to simplify the expression below 14x- (2x + y). PLEASE SHOW STEPS SO I CAN UNDERSTAND FOR MYSELF! THANK YOU!
A. 12x
B. 12x- y
C. 14x -y
D. 12x +2
Answer:B
Step-by-step explanation:
14x-(2x+y)
14x-2x-y
12x-y
Write each expression with fewer terms
10x - 2x
10x - 3y + 2x
Answer
1. 8x
2. 12x - 3y
12x-3y
12+-3y
Answer:
8x
and
12x-3y
Hope this helps!
If anyone answers ALL i will give all my points and will give Brainliest
Answer:
too compelx illegal
Step-by-step explanation:
The two way frequency table shows what a group of students did during the summer. Which statement is true related to the table?
Answer:
That statement is true which relates to what activity was taken by most of the students of different categories in that particular group during the summers.
Step-by-step explanation:
A two-way frequency table (likewise called a possibility table) is a valuable instrument for inspecting connections between downright factors. The passages in the cells of a two-way table can be frequency checks or relative frequencies (simply like a single direction table). Two-way frequency tables show what number of information focuses fit in every classification.
Assume you direct a review where you pose every individual two inquiries. When you have wrapped up the overview, you will have two bits of information from every individual. At whatever point you have two bits of information from every individual, you can arrange the information into a two-way frequency table.
A combination lock uses 4 numbers, each of which can be 0 to 33. If there are no restrictions on the numbers, how many possible combinations are available?
Answer:
Solution for A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the numbers, how many possible ...
Step-by-step explanation:
Which set of values makes the inequality n > -5 true?
{-5, -5.5, -6}
{-5, -4.5, -3)
{-6,0,5}
{-6, -7,-8}
Answer:
all false
Step-by-step explanation:
n > -5
{-5, -5.5, -6} False cannot = -5 ( all are greater than or equal to -5)
{-5, -4.5, -3) False cannot = -5
{-6,0,5} False cannot = -6
{-6, -7,-8}False these are less than -5
The weights of six puppies in ounces are 8, 5, 7, 5, 6, and 9. What is the upper quartile of the data?
Answer:
8
Step-by-step explanation:
the average of 9, 8 , and 7 is 8
The upper quartile for the weights of six puppies, arranged in ascending order and given as 5, 5, 6, 7, 8, 9 ounces, is found by averaging the 4th and 5th points, resulting in 7.5 ounces.
The question seeks to find the upper quartile of the weights of six puppies, which are given in ounces as 8, 5, 7, 5, 6, and 9. To find the upper quartile, step-by-step explanation is necessary. First, we arrange the data in ascending order: 5, 5, 6, 7, 8, 9.
There are 6 data points, so to find the upper quartile (Q3), which divides the top 25% of data from the rest, we identify the data point that falls 3/4th of the way through the dataset. When there are 6 data points, Q3 is calculated by averaging the 4th and 5th data points ((7+8)/2 = 7.5). Therefore, the upper quartile of the data is 7.5 ounces.
For evey 7 white t shirts they manufacture they should manufacture 4 yellow t shirts.they ratio of the number of white t shirts to the number of yellow t shirts should be...
The ratio of white T-shirts to yellow T-shirts should be 7:4, indicating for every 7 white, there are 4 yellow.
Explanation:The ratio of the number of white T-shirts to the number of yellow T-shirts should be 7:4. This means that for every 7 white T-shirts manufactured, 4 yellow T-shirts should be produced. This is simply a way of representing the proportion of white to yellow T-shirts in a simple and understandable way. Using a ratio is useful to show relative size and proportions.
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Simplify 3 x y x 2 x y x 4 x y
Answer:
24y
Step-by-step explanation:
y*y*y = y^3 (y to the power of 3)
3*2*4 = 24
then your left with 24 times y^3 which is 24y^3
Hope this helps!
The expression 3 x y x 2 x y x 4 x y when simplified is 24y³
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
3 x y x 2 x y x 4 x y
Evaluate the product of similar variables
So, we have
3 x y x 2 x y x 4 x y = 24 x y x y x y
Evaluate the remaining product of similar variables
So, we have
3 x y x 2 x y x 4 x y = 24y³
Hence, the product is 24y³
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Calculate the number in the middle of -4 and 5
Answer:
0.5 is in the middle plz give branliest
Step-by-step explanation:
The distance between the numbers is 9
so if you divide them in half, you get 4.5
add 4.5 to -4 or subtract it from 5 to get 0.5
Please help me, this is due in 2 hours!! :-)
what decimal is equivalent to 1 5/8
The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The mixed fraction is converted into a fraction number.
1 5/8 = 13/8
Convert the fraction number into a decimal number. Then we have
13/8 = 1.625
The mixed fraction number 1 5/8 is equivalent to the decimal number 1.625.
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Final answer:
1 5/8 is equivalent to the decimal 1.625. To find this, one must convert the fraction 5/8 to its decimal form, 0.625, and then add it to the whole number 1.
Explanation:
The decimal equivalent to 1 5/8 is found by converting the fraction 5/8 to a decimal and adding it to the whole number 1. The fraction 5/8 is equivalent to 0.625 when converted to decimal form. Therefore, when you combine 1 with 0.625, the result is 1.625.
To convert 5/8 to decimal, divide 5 by 8, which equals 0.625. This process is similar to using the reciprocal to multiply, as discussed in the context of 1/8 being a '125–like' number. In this case, divide by 8 rather than multiply.
if a circle has a radius of 2 ft. is the circumfrence and area the same? Explain
Answer:no
Step-by-step explanation:
The circumference and radius are different
The circumference and the area of the circle is same.
Step-by-step explanation:
Given,
The radius (r) of the circle = 2 ft
To find the circumference and the area of the circle.
Formula
The circumference of a circle = 2πr
The area of a circle = πr²
Now,
The circumference of a circle = 2π×2 = 4π
The area of a circle = πr² = π×2² = 4π
Hence,
The circumference and the area of the circle is same.
PLEASE PLEASE PLEASE HELP
Answer:
It should be C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A movie theatre offers popcorn in two different containers for the same price. One container is a rectangular prism with a base area of 36in2 and a height of 5in. The other container is a triangular prism with a base area of 32in2 and a height of 6in. Which container is the better deal? EXPLAIN.
Answer: The triangular prism container is a better deal.
Step-by-step explanation:
Hi, to answer this question we have to calculate both containers volume and compare them.
Rectangular prism volume = base area x height
Replacing with the values given:
V = 36 x 5 = 180 cubic inches
Triangular prism volume = base area x height
V = 32 x 6 = 192 cubic inches
The triangular prism container has more volume, so it can hold more popcorn.
PLEASEEEEEE HELPPPP!!!!!!!!
A hospital cafeteria has 20 tables
65% of the tables have 6 chairs at each table
The remaining 35% of the tables have 4 chairs at each table
Complete the model
Then complete the statements to find the total number of chairs in the hospital
cafeteria
CLEAR
Number of tables with 6 chairs:
Number of tables with 4 chairs
20 total tables
65% of the tables have 6 chairs at each table. In total, there are
chairs at these tables
35% of the tables have 4 chairs at each table. In total, there are
chairs at these tables
Altogether, there is a total of
chairs in the hospital cafeteria.
Step-by-step explanation:
it means 13 tables have 6 chairs
and 7 tables have 4 chairs
so
total chairs in the cafeteria= 13×6 + 4×7 = 78+28=106
Whitch fraction is equivalent to 5/20
Answer:
1/4
Step-by-step explanation:
5/20
Divide the top and bottom by5
1/4
Ramona is installing a kitchen counter that is 9 feet by 3 feet.
The counter has a hole in it for a sink that is 2 feet by 3 feet.
What is the area of the kitchen counter?
The area of the kitchen counter is 21 square ft.
Step-by-step explanation:
Area of the sink = 2 x 3
= 6 square ft.
Area of the kitchen counter = 9 x 3 -(6)
=27 - 6
= 21 square ft.
The area of the kitchen counter is 21 square ft.
The area of the kitchen counter is 21 square feet.
To find the area of the kitchen counter, we need to calculate the total area of the counter first and then subtract the area of the hole for the sink.
Calculate the total area of the counter:Therefore, the area of the kitchen counter, after subtracting the sink hole, is 21 square feet.
determine the value of a so that when P(x)=a^2 x^3-3ax+1 is divided by x-2 there is no remainder