Therefore , the solution to the given problem of probability comes out to be P =0.6.
How are probabilities determined?Probability theory, a subfield of mathematics, calculates the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where 1 denotes certainty and around 0 denotes how probable the event is to occur. A likelihood is a numerical representation of the likelihood that a particular event will occur. Probabilities may alternatively be stated as percentages with a range of 0% to 100% or as a number between 0 and 1. the percentage of events over a wide range of comparably likely outcomes that happen in comparison to all other conceivable outcomes.
Here,
Given :
Twelve 16 GB and 18 32 GB pen drives are packaged together in a box.
To find the probability of 16gb pen drive is defective:
Thus,
Total pendrive = 30
Event = 16gb pen drive or defective:
The probability of it is 16gb pendrive = 12/30 = 0.4
The probability of it is defective pendrive = 6/30 = 0.2
thus,
total probability (16gb pen drive or defective) = 0.4 +0.2 =0.6
Therefore , the solution to the given problem of probability comes out to be P =0.6.
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When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)
Answer:
53
Step-by-step explanation:
58÷1.095= 53 is the answer
Answer:
5.03196347032
Step-by-step explanation:
We do:
.095x+x=58
1.095x=58
x=52.96
52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032
is 250% of 41 less than 100, greater than 100 but less than 150, or greater than 150?
If a varies directly as the cube root of b and if a=3 and b=64.find the formula connecting the variables hence find b when a=15/4
Answer:
b = 125
Step-by-step explanation:
Given a varies directly as [tex]\sqrt[3]{b}[/tex] then the equation relating them is
a = k[tex]\sqrt[3]{b}[/tex] ← k is the constant of variation
To find k use the condition a = 3 , b = 64 , then
3 = k[tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
a = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ← equation of variation
When a = [tex]\frac{15}{4}[/tex] , then
[tex]\frac{15}{4}[/tex] = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ( multiply both sides by 4 to clear the fractions )
15 = 3[tex]\sqrt[3]{b}[/tex] ( divide both sides by 3 )
5 = [tex]\sqrt[3]{b}[/tex] , then
b = 5³ = 125
What is the volume of the prism given below?
14
12
A. 280 units3
B. 480 units 3
C. 840 units 3
D. 420 units3
AnswerAnswer:
420
Step-by-step explanation:
The volume of the prism is 840 units³ which is correct option (C).
What is volume of prism?The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
Base area (rectangle) of prism = L × W
Base area (rectangle) of prism = 12 × 14
Base area (rectangle) of prism = 168 units²
Height of prism(H) = 5 units
The volume of the prism = B × H
Substitute the values in above formula,
The volume of the prism = 168×5
The volume of the prism = 840 units³
Hence, the volume of the prism is 840 units³.
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1. The number of customers in a restaurant during the peak hour of each day for a month varied
significantly from day to day. Here are pieces of the data on the number of customers served
during the peak hour of each business day:
3 Lowest
25, 32, 37
Q1
45
Mean
48
Median
50
Q3
58
3 highest
69, 70, 75
(a) Are there any outliers in the data set? Justify your answer numerically
Step-by-step explanation:
First we must calculate the interquartile range (IQR), using this equation:
[tex]IQR = Q_{3} - Q_{1}[/tex]
Based on the information provided we fill in:
[tex]IQR = 58 - 45[/tex]
[tex]IQR = 13[/tex]
In order to find what the range for the data set is we need to use the Interquartile Rule:
[tex]Q_{1}-1.5[/tex] × [tex]IQR\\[/tex]
[tex]Q_{3}+1.5[/tex] × [tex]IQR\\[/tex]
[tex]1.5[/tex] × [tex]13 = 19.5[/tex]
Now we plugin in:
[tex]45 - 19.5 = 25.5\\[/tex]
[tex]58 + 19.5 = 77.5[/tex]
Any number below 25.5 is a possible outlier and any number above 77.5 is a possible outlier.
Answer:
Based on the results of the calculations, 25 could be a possible outlier in the data set.
V(x) is a function.
True or false??
Answer:
TRUE AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
What property is -2x–6+4=-2? (see image)
Which of the following represents the solution set to 4x^2+8x-1=0?
Answer:
4
Step-by-step explanation:
How do you set up factor by grouping for the
polynomial:
I need help pleaseee):
Answer:
Step-by-step explanation:
El alcance de tangente
Answer: ¿Qué significa alcance tangente? ¡Lo busqué y no dice nada!
Step-by-step explanation:
What is the exact value of tan(−π/4)?
Answer:
-1
Step-by-step explanation:
I don't know this question. I REALLY NEED HELP!!!
Answer:
If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54
Answer:
54
Step-by-step explanation:
10m + [tex]\frac{n^{2} }{4}[/tex]
First insert the m value and then multiply
10m = 10(5) =50
then the equation becomes 50 + [tex]\frac{n^{2} }{4}[/tex]
Second insert the n value
[tex]\frac{4^{2} }{4}[/tex]
4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes
50+16/4
50+4=54
Given: EGEF = JK
Prove: FG = HJ
PLEASE HELP ASP
Answer:
Done.
Step-by-step explanation:
EG = EF + FG
HK = HJ + JK
We have: EG = HK and EF = JK => FG = HJ
please help me , I'm so confused ...
Answer:
E
Step-by-step explanation:
The fractions have the same denominator so all you have to do is add the numerator, retain the denominator, and add the whole number.
How do I make the pain go away?
1, 1/2, 1/4, 1/8, ... What's the pattern rule and the next three numbers? Please someone help me!
Answer:
1/14 ,1/22 ,1/32
Step-by-step explanation:
pattern is according to 2 table
1/2, 1/4, 1/8 the denominators difference is 2 table
2×1=2 difference between 2&4 is 2
2×2=4 difference between 4&8 is 4
2×3=6 8+6=14
2×4=8 14+8=22
2×5=10 22+10=32
hope you've understood
help me for brainlistt
Answer:
120 ft squared
Step-by-step explanation:
First you find the areas of all the triangle surfaces and add them up
1/2 * b * h = 21
21 *4 = 84
Find the area of the square base and add the 2 values up
6^2 = 36
36+84 = 120
Each unit on the grid represents 5
feet. About how far, in feet, is the
drinking fountain from
the bench?
A. 8.5 feet
B. 37.1 feet
C. 33.5 feet
D. 42.7 feet
Answer:
There's no grid but I'd say A if you can give me the grid I'll edit my answer
Step-by-step explanation:
An olive farmer has 7,426 olives to put into jars. It takes 47 olives to fill each jar. How many jars will the farmer be able to fill with olives?
Answer:
Step-by-step explanation:
divide 7,426 by 47 on a calculator, that’s the answer of how many jars you’ll need
Will mark brainliest for whoever answers
Answer:
i think g(x) is not the inverse function of f(x). HOPE THIS HELPS!
Step-by-step explanation:
Mae Ling earns a weekly salary of $345 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week If she stood $4,300 worth of merchandise?
She would make $________?
Answer:
She would make $646.00
Sarah has $1000 in the bank. she took out $50 to buy supplies. What percentage of savings did she take out?
What are the zeros of f(x) = x2 - x - 30?
O A. x = 10 and x = -3
O B. x = 6 and x = -5
O C. x= -10 and x = 3
O D. x= -6 and x = 5
Answer:
B
Step-by-step explanation:
the x intercepts of this graph are -5 and 6
Do you guys mine lending me a hand?
Answer:the answer is 146 or 126
Step-by-step explanation:
84+112+102+96=394 and a pentagon's degrees is 540
so you have to do 540-34=146
so that is 146
the answer is 146
The radius of a circle is 4 centimeters.what is the area
Please help me this is due asap!
Answer:
Step-by-step explanation:
Did not see any questions I think you make a mistake you did not put the question.
A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.
Write an equation to represent the relationship between s, sugar, and f, flour.
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
just need to know the fraction
The midsegment is always exactly half as long compared to the side it's parallel to.
Put another way, the longer side (4x+20) is twice long as the midsegment (3x).
Answer:
The answer your looking for is 1/2
Step-by-step explanation:
In which of the following cases would you most likely buy a point when closing on a home loan?
a. The monthly payment is reduced by $8 and you plan to sell the home at the end of 3 years.
b. The monthly payment is reduced by $10 and you plan to sell the home at the end of 4 years.
The monthly payment is reduced by $12 and you plan to sell the home at the end of 5 years.
d. The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
C
Please select the best answer from the choices provided
Ο Α
C
B
0
C
OD
Answer:
d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
Step-by-step explanation: