Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
A factory found that 8% of its produced light bulbs are defective.
If the factory produces 500 light bulbs, how many light bulbs are expected to be defective?
Answer:
40
Step-by-step explanation:
no. of defective light bulbs= 8/100×500
= 40
Calculate the marked price (original price) if
a. After 25% discount, the price of an article is Rs 7500,
please with explanation and calculation the answer should be Rs 10 000
35% of flowers sold on a day were roses. If 42 roses were sold, how many total flowers were sold?
Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
what is unitary method ?In mathematics, the unitary approach entails determining the value of a single unit and then using that value to determine the value of a certain number of units. It is frequently applied to issues concerning rates and proportions as well as issues relating to ratios and proportions. The unitary method, for instance, would result in a cost of $5 for 5 apples if the price of 1 apple is $2. To calculate the overall cost using the unitary method, we would multiply the $2 worth of one apple by the quantity we wish to purchase. Therefore $5 would be spent on 5 apples, or $2 each.
given
Assume that "x" represents the total quantity of flowers sold on that particular day.
Roses made up 35% of the total number of flowers, which means that:
0.35x = 42
By dividing both sides by 0.35, we can determine the value of "x":
x = 120
Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
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NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Solve for x
|2x+1| + |3x-4| = 5
Answer:
0, 8/5
Step-by-step explanation:
You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)
Can someone help me with this please
Answer:
x = 61
Step-by-step explanation:
These 2 angles are supplementary which means they add up to 180:
2x - 6 + x + 3 = 180
3x - 3 = 180
3x = 183
x = 61
PLEASE HELP! Simplify the expression and write any restrictions.
Answer:
=3
Step-by-step explanation:
2+2=4
4-1=3
Quick maths
(3^2+4−2)(2^2−3−4) can you guys please solve this for me please.
Answer:
-33
Step-by-step explanation:
[tex](3^2+4-2)(2^2-3-4)[/tex]
[tex](9+4-2)(4-3-4)[/tex]
[tex](13-2)(1-4)[/tex]
[tex](11)[/tex] · [tex](-3)[/tex]
(-33)
4/x + 2/y = 3 is that linear? explain
please help i need it for my final
Answer:
Yes
Step-by-step explanation:
Please help me choose the correct answer to find the answer
Answer:
y = -3x + 12
Step-by-step explanation:
6x + 2y = 24 *subtract 6x from both sides*
2y = -6x + 24 * divide both sides by 2*
y = -3x + 12
guys whats 10x10 pls help me thank you
It's 100 ... ... ... ... ...
Find the sum of 4x^3 + 6x^2 +2x - 3 and 3x^3 +3x^2 -5x -5
Answer:
7x³ + 9x² - 3x - 8
Step-by-step explanation:
4x³ + 6x² + 2x - 3 + 3x³ + 3x² - 5x - 5 ← collect like terms
= 7x³ + 9x² - 3x - 8
a three-digit lottery ticket using the numbers 0 to 9 has how many possible combinations? using only the fundamental counting principal.
Answer:
1000 combinations
Step-by-step explanation:
product of 3 and e in algebric expression
product of 3 and e in algebric function = 3e
If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?
Answer:
[tex]x = 1.5[/tex]
[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]
Answer:
x = 1.5
Step-by-step explanation:
[tex]\frac{9}{36} :\frac{x}{6}[/tex]
Cross multiply.
36 · x = 9 · 6
Simplify.
36x = 54
Divide each side by 36.
36x ÷ 36 = 54 ÷ 36
Simplify.
x = 1.5
Sven deposited R3500 into a savings account where interest is compounded annually at 11.2% at the end of two years he withdrew R1800.
calculate the amount of money left in the account after two years
Answer:
Amount left= 4,327.9 - 1,800
Step-by-step explanation:
Giving the following information:
Initial deposit (PV)= $3,500
Interest rate (i)= 11.2%
Number of periods (n)= 2 years
Withdrawal= $1,800
First, we need to calculate the future value of the investment at the end of 2 years:
FV= PV*(1 + i)^n
FV= 3,500*(1.112^2)
FV= $4,327.9
Now, after the withdrawal:
Amount left= 4,327.9 - 1,800
The difference between a and b is 10. The number a is 4 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of and b? If explanation given properly will give BRAINLIEST!!!
a) b-a=10, a=3b+4
b) a-b=10, b=3a+4
c) a/b=10, a=3b+4
d) a-b=10, a=3b+4
e) b-a=10, 3b=a+4
Answer:
d)
Step-by-step explanation:
a - b = 10
a = 4 + 3b
A triangle has side lengths of 9 centimeters and 15 centimeters. The third side has a length of x centimeters. complete the inequality to show all the possible values of x.
Answer:
67.5
Step-by-step explanation:
area of a triangle (1/2 l×b)
1/2 ×9×15× x=135x
divide any side by 2
x=4.5×15=67.5
x=67.5
The value of x is 67.5.
We have given that,
A triangle has side lengths of 9 centimeters and 15 centimeters.
The third side has a length of x centimeters
What is the area of a triangle?The area of a triangle is (1/2 l×b)
l is length and b is a breadth.
Therefore we use the given value in the formula so
1/2 ×9×15× x=135x
divide any side by 2
x=4.5×15=67.5
x=67.5.
Therefore the third side of the triangle is 67.5.
So the inequality is
67.5≤15≤9.
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For 11 days straight, Mike drove the same distance every day going to and coming from work. On the 12th day, he drove an extra 7 miles. If Mike drives 91 miles in total in those 12 days, write an expression to find the distance he travels each day going to and from work.
Answer:
A) The algebraic expression
= 12x + 7 = 91
B) He drives 7 miles per day
Step-by-step explanation:
For 11 days straight, Mike drove the same distance every day going to and coming from work.
Step 1
We are told : Mike drives 91 miles in total in those 12 days,
On the 12th day, he drove an extra 7 miles.
Hence:
91 miles - 7 extra miles
= 84 miles
Step 2
The number of miles he drives per day:
84 miles/12
= 7 miles per day
Step 3
The expression we can use to find the distance he travels each day going to and from work is written as:
Let the number of miles he travels be day = x
12x + 7 = 91 miles
12x + 7 = 91
12x = 91 - 7
12x = 84
x = 84/12
x = 7 miles per day
select the correct answer from the drop-down menu
find the polynomial
(5) is the solution set of ___
A. X^2-5x + 25=0
B. X^2 + 10x + 25 = 0
C. X^2-10x+25=0
D. X^2+5x+25=0
Please help! This boxed is packed with cubes that measure on cubic foot.
Enter the volumes of the box in cubic feet.
Answer:
Volume of Cuboid = 72 cubic feet
Step-by-step explanation:
Using 1 cubic foot as standard
Given:
Length of given cuboid = 6 feet
Width of given cuboid = 3 foot
Height of given cuboid = 4 foot
Find:
Volume of Cuboid
Computation:
Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of Cuboid = (6)(3)(4)
Volume of Cuboid = 72 cubic feet
A set of twenty cards is labeled 1 through 20. Anna draws one card randomly. What is the probability that Anna will draw an even number greater than 10?
Answer:
50% chance
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST!!
Answer:
the answer is 8$
Step-by-step explanation:
A sample of juniors and seniors were asked if they plan to attend college.
One surveyed student is selected at random. Select all that apply. Percents are rounded.
A. The probability the student is a junior is 52%.
B. The probability the student plans to attend college is 70%.
C. Given the student plans to attend college, the probability the student is a junior is 68%.
D. Given the student is a junior, the probability the student plans to attend college is 68%.
E. Events "is a junior" and "plans to attend" are independent.
F. Events "is a senior" and "plans to attend" are independent.
Answer:
From the survey, the following apply to both Junior and Seniors who were asked about their plan towards attending college:
C. Given the student plans to attend college, the probability the student is a junior is 68%.
D. Given the student is a junior, the probability the student plans to attend college is 68%.
F. Events "is a senior" and "plans to attend" are independent.
B. The probability the student plans to attend college is 70%.
Step-by-step explanation:
What is the equation of the line in slope intercept form? Plz ASAP
Answer:
3) y = -2x + 16
Step-by-step explanation:
__________
Whats -0.5 rounded to the nearest 10th
Answer:
-0.5 is rounded to the nearest tenth
Step-by-step explanation:
Answer:
it would be -0.5
Step-by-step explanation:
tenth means 1dp the number after it would determine it but there is a zero after the 5 which means that it stays the same.
Using the diagram below, determine which
statement is NOT true.
Answer: C
Step-by-step explanation:
i really need help school end trw and i have 1 question till i am done but i dont know what it is PLEASE HELP FAST
1+1+3
Answer:
5
Step-by-step explanation:
Answer:
1+1+3=5
Step-by-step explanation:
you have three dogs and you get another dog. You now have 4 dogs. You get yet another dog so now you have 5.
Find the volume of a pyramid with a square base, where the area of the base is
12.9 cm2 and the height of the pyramid is 15.2 cm. Round your answer to the
nearest tenth of a cubic centimeter.
Answer: 65.4
Step-by-step explanation:
What is the sum of the first eight terms in this series?
2 + 10 + 50 + 250
A.
97,656
B.
156,250
C.
195,312
D.
317
Answer: c
Step-by-step explanation: because of the 2 in the first one there will be a 2 in the answer
The sum of the first eight terms in this series is 97,750.
We have,
We notice that each term in the series is obtained by multiplying the previous term by 5.
Therefore, this is a geometric series with a common ratio of 5.
We can use the formula for the sum of the first n terms of a geometric series:
[tex]S_n = a(1 - r^n)/(1 - r)[/tex]
where a is the first term, r is the common ratio, and n is the number of terms.
In this case,
a = 2, r = 5, and n = 4 (since we have four terms).
Substituting these values into the formula gives:
[tex]S_4 = 2(1 - 5^4)/(1 - 5)[/tex]
= 2 (-624)/(-4)
= 156
The sum of the first four terms is 156.
To find the sum of the first eight terms, we need to find the sum of the first four terms and then multiply by the common ratio raised to the power of 4:
[tex]S_8 = S_4 \times 5^4[/tex]
= 156 x 625
= 97,500
Adding the last term (250) to this sum gives:
= [tex]S_8[/tex] + 250
= 97,500 + 250
= 97,750
Therefore,
The sum of the first eight terms in this series is 97,750.
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