The probability that a customer likes cake and pie is 0.16.
What is the probability?Probability is used to determine the odd that a random event would happen. The odds that the event happens usually lie between 0 and 1.
The probability that a customer likes cake and pie = total number of customers who like cake and pie / total number of customers
4/25 = 0.16
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Please help with these 2 questions and explain why it's the answer
First, let's edit the given equations.
In 9:[tex]2(32-x^2)=4x4-2\\\\64-2x^2=14[/tex]
Then, to check if [tex]x=5[/tex] is a solution to this equation, let's put the [tex]5[/tex].
[tex]64-2(5)^2=14\\\\64-50=14[/tex]
That's correct!
In 10:[tex]4^2-x\leq x(6-5)\\\\16-x\leq 6x-5x\\\\16-x\leq x\\\\16\leq 2x\\\\x\geq 8[/tex]
Then, we must put [tex]15[/tex].
[tex]15\geq 8[/tex]
That's correct!
Good luck! If you have any question(s), then feel free to ask in comments!
Hi Student!
Let us first look at what the first question is asking for us to do and what is provided to do that. Looking at the first question we see that they are asking if x = 5 is a solution to the expression that they provided. This type of problem is fairly simple and what we basically do is just plug in the value 5 for the variable x in the expression and the simplify both sides to see if they are the same.
Plug in the values
[tex]2(32 - x^2) = 4 * 4 - 2[/tex][tex]2(32 - (5)^2) = 4 * 4 - 2[/tex]Simplify the square and subtract inside of the parenthesis
[tex]2(32 - 25) = 4 * 4 - 2[/tex][tex]2(7) = 4 * 4 - 2[/tex]Simplify both sides
[tex]2 * 7 = (4 * 4) - 2[/tex][tex]14 = (16) - 2[/tex][tex]14 = 14[/tex]Looking at the final expression that we have, we can see that we have 14 is equal to 14 which is true and therefore x = 5 is a solution of the expression provided.
Moving onto the next question, we can see that it asks for us to do something really similar to the previous question but this time to check if x = 15 is a solution of a different expression. Let's follow the same steps that we did last time.
Plug in the values
[tex]4^2 - x \le x(6 - 5)[/tex][tex]4^2 - (15) \le 15(6 - 5)[/tex]Distribute the x
[tex]4^2 - (15) \le (15 * 6) + (15 * -5)[/tex][tex]4^2 - (15) \le 90 - 75[/tex]Simplify both sides
[tex]16 - 15 \le 90 - 75[/tex][tex]1 \le 15[/tex]Looking at the final expression that we have, we can see that it states that 1 is less than or equal to 15 and that is true. Therefore, x = 15 is a solution of the expression that was provided.
If F(x) = x-3, which of the following is the inverse of F(x)?
O A. F1(x) = x+ 3
B. F¹(x) = 3x
OC. F¹(x) = x-3
OD. F¹(x) = 3-x
Answer:
3-x is the inverse of f(x)=x-3
what percentage of 2m is 40cm
Answer:
20%
Step-by-step explanation:
the units of measure must be the same, so
2m = 2 × 100 cm = 200 cm
then
[tex]\frac{40}{200}[/tex] × 100%
= 0.2 × 100%
= 20%
Answer:
20%
Step-by-step explanation:
2 m = 200 cm We are required to find: what percentage of 2m is 40cm.Required percentage [tex]=\frac{40}{200}\times 100[/tex]Required percentage [tex]=\frac{4000}{200}[/tex]Required percentage [tex]=20%[/tex]find the x
please help me asap
Sum of two interiors=Exterior
[tex]\\ \rm\Rrightarrow 39+6x+11=11x-10[/tex]
[tex]\\ \rm\Rrightarrow 6x+50=11x-10[/tex]
[tex]\\ \rm\Rrightarrow 60=5x[/tex]
[tex]\\ \rm\Rrightarrow x=12[/tex]
8.92 x 10^6 in scientific notation
Answer:
8.92 * 10^10
Step-by-step explanation:
1. Convert to decimal notation
[tex]8.92*10^6[/tex]
The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):
8.92 -> [tex]8920000[/tex]
2. Final result
[tex]8920000[/tex]
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
8.92 * 10^10
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Why learn thisScientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is [tex]1.898*10^{27}[/tex]kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.
---------------------------------------------
Terms and topicsScientific NotationScientific notation is also referred to as scientific form or standard index form, or in the UK, standard form.
9. Find the area:
25
19
13
Answer:
162.5
Step-by-step explanation:
25=height
13=base
to find the area of a triangle you do (h(b)b)/2
The diameter of a semicircle is 8 kilometres. What is the semicircle's perimeter?
Answer:
4pi + 8 km
Step-by-step explanation:
the circumference of teh circle is d*pi = 8pi. since this is a semicircle the circumference is 4pi. then the perimeter is 4pi + 8
x
Benchmark Assessment - 29/34
Choose two number sentences below that equal 39:
A) 71-32
B) 49 - 20
C) 85-46
D) 50 - 29
A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic yards
Submit
Yea
The volume of the given cone.
Solution:[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]
[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{1}{3}×3.14×{3}^{2}×8[/tex]
[tex]\large\boxed{V= 75.36 \: {yd}^{3}}[/tex]
Therefore, the volume of the given cone is 75.36 cubic yards.
(-2p+7) (4p - 3) please help
Answer:
Step-by-step explanation:
-8p^2 + 6p + 28p - 21
-8p^2 + 34p - 21
Answer:
-8p² + 34p - 21
Step-by-step explanation:
(-2p + 7)(4p-3)
= -2p*4p -2p*-3 + 7*4p + 7*-3
= -8p² + 6p + 28p - 21
= -8p² + 34p - 21
Solve the quadratic equations by completing the square.
x^2-4x=-1
Answer:
2 ± √3
Step-by-step explanation:
Solving quadratic equation by completing squares:x² - 4x = -1
Divide the coefficient of x by 2.4 ÷ 2 = 2
Now, square the result and add that to both sides of the equation.2² = 2* 2 = 4
x² - 4x + 4 = -1 + 4
x² - 4x + 4 = 3
x² - 2 * x * 2 + 2² = 3
Compare it with a² - 2ab + b² . Now , a = x and b = 2(x - 2)² = 3
Take square root both sidesx - 2 = ±√3
x = 2 ± √3
Solutions: x = 2 +√3 ; 2 - √3What is the sum of the first 40 positive odd integers?
Answer:
1600
Step-by-step explanation:
[tex]\text{Number of terms}, ~n = 40\\\\\text{Sum of n odd integers} = n^2 = 40^2 = 1600[/tex]
This is for a test please answer
Answer:
25 = b
26 = c
Step-by-step explanation:
A food truck did a daily survey of costumers to dond their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
1
Select the correct answer.
Find the quotient.
24-3÷1
7
I
=
1²
7
OA.
1(21 - 3)
OB.
71
21
3
-
O C.
21 3
-
71
OD. (213)
7
(2x² - 3x) / 7 is the quotient of the given division.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To divide by a fraction, we can multiply by its reciprocal. So to simplify the expression:
((2x-3)/x ) / (7/x²)
We can multiply the numerator by the reciprocal of the denominator:
((2x-3)/x ) * (x²/7)
Simplifying this expression, we can cancel out the common factor of x in the numerator and denominator:
(2x-3) * (x/7)
Expanding the product:
(2x² - 3x) / 7
Therefore, the quotient of ((2x-3)/x ) / (7/x^2) is (2x² - 3x) / 7.
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Let's suppose someone flips a fair coin three times. 1. How many outcomes are possible? [a] 2. What is the probability of getting exactly one tail? Give as a fraction [b] 3. What is the probability of getting at most two tails? Give asa fraction [c]
Probability helps us to know the chances of an event occurring. There are 8 outcomes.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Let's suppose someone flips a fair coin three times.
1. The outcomes of the coins are,
HHHHHTHTHHTTTTHTHTTTHTTTTherefore, there are 8 outcomes.
2. The probability of getting exactly one tail is,
P(X=1) = 2/8 = 1/4
3. The probability of getting at most two tails is,
P(X≤2) = P(X=1) + P(X+2) = 1/4 + 1/2 = 3/4
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Using the figure below, if the m21= 55°, what is the m2?
Answer: [tex]125^{\circ}[/tex]
Step-by-step explanation:
Angles that form a straight angle are supplementary, so:
[tex]m\angle 1+m\angle 2=180^{\circ}\\ \\ 55^{\circ}+m\angle 2=180^{\circ}\\ \\ m\angle 2=\boxed{125^{\circ}}[/tex]
1+2-3+4+5-6+7+8-9...+97+98-99
Answer:
1584
Step-by-step explanation:
The sum of this sequence can be found a number of ways. One way is to recast it as the series whose terms are groups of three terms of the given series.
__
series of partial sumsThe partial sums, taken 3 terms at a time, are
1+2-3 = 0
4+5-6 = 3
7+8-9 = 6
...
97+98-99 = 96
So the original series is equivalent to ...
0 +3 +6 +... +96 = 3×1 +3×2 +... +3×32 = 3×(1 +2 +... +32)
That is, the sum is 3 times the sum of the consecutive integers 1..32.
__
consecutive integersThe sum of integers 1..n is given by the equation ...
s(n) = n(n+1)/2
__
series sumUsing this to find the sum of our series, we find it to be ...
series sum = 3 × (32)(33)/2 = 1584
_____
Alternate solution
The given series is the sum of integers 1-99, with 6 times the sum of integers 1-33 subtracted. That is, ...
1 + 2 - 3 + 4 + 5 - 6 = 1+2+3+4+5+6 -2(3 +6) = 1+2+3+4+5+6 -6(1+2)
Continuing on to ...97 +98 -99 gives the result s(99) -6s(33).
Computed that way, we find the sum to be ...
(99)(100)/2 -6(33)(34)/2 = 4950 -3366 = 1584
Need one person help for math Plato class
Answer:
The answer is B. 13.7 inches
i hope this can help you! :)
2a - (a + 3) I need Answers
Answer:
a-3
Step-by-step explanation:
[tex]2a-(a+3)\\= 2a - a - 3\\= a - 3[/tex]
Answer:
a-3
Step-by-step explanation:
2a - (a+3)
removing bracket
2a -a-3
a-3
final answer
a-3Doug mcdougal is whipping up 72 different snacks for his 12th annual blooper bowl bash he invited 138 guess but only 16 are coming that doesn’t bother dog he still makes 100 bowls of nacho dip he makes twice as many bowls of chili how many guests are coming to the party
The number of guests coming to Doug McDougal party can be calculated to be 23 people.
What number of people are coming?Doug invited 138 guests and out of this, only 1/6 will be coming.
The number of people coming is therefore:
= Number invited x Proportion coming
Solving gives:
= 138 x 1/6
= 23 people
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describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES
Answer:
here man that's the answer
I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm
Answer:
1.9 m
Step-by-step explanation:
1 ft = 30 cm (approximately)
12 in. = 1 ft
100 cm = 1 m
Find the height in ft:
4 in. / 12 in/ft = 1/3 ft
6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft
Convert ft to cm:
6 1/3 ft × 30 cm/ft = 190 cm
Convert cm to m:
190 cm × 1 m / 100 cm = 1.9 m
Determine the cardinality of each set.
(a) {5, 1, 4, {6, 7, 8, ...}}
(b) {ø}
(c) {{{6, 7}}}
The cardinality of a set refers to the number of elements in the set. It is found by counting the elements in the set.
What is cardinality of a set?The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.
a) There are 6 elements in this set hence the cardinality is 6.
b) There is only one element in the set hence its cardinality is 1.
c) There are two elements in the set hence the cardinality is 2.
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What is the third quartile of this data set?
20,21,24,25,28,29,35,37,39,42,44
A. 44
B. 29
C. 24
D. 39
Abby takes a 75-centimeter by 40-centimeter rectangle of fabric and cuts from one corner of
the piece of fabric to the diagonally opposite corner. Now Abby has two equally sized triangles of fabric. What is the perimeter of each triangle centimeters
answer: 195cm
the photo should explain
what is the answer to this
Step-by-step explanation:
[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it will be helpful
Answer:
86
Step-by-step explanation:
Evaluate the expression:Plugin the value of m, in the expression
m² + 5 = 9² + 5
= 81 + 5
= 86
major each of the following angles write it measures right weather it is acute ,obtuse, right angle A straight angle or a reflex angle
Answer:
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
Step-by-step explanation:
an acute angle is an angle less than 90 degrees
an obtuse angle is an angle more than 90 degrees
a right angle is an angle equivalent to 90 degrees (looks like two straight lines perpendicular)
a straight angle is an angle equivalent to 180 degrees (looks like a straight line)
a reflex angle is an angle greater than 180 degrees
so, ...
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
An internet cafe charges $3.75 to use a computer and $.45 per minute while accesing the internet. What function rule describes this situation?
Answer:
y = $3.75(x) + .45$
Step-by-step explanation:
Take the input and subsitute
Which of the following is closest to the area of the figure below, consisting of a semicircle and rectangle