Answer:
The probability of getting a letter which is not E is 13/15.
Step-by-step explanation:
DANIEL BERNOULLI
The total number of elements in sample space = 15
The probability of getting letter E is
= 2/15
The probability of getting a letter which is not E is
[tex]1 - \frac{2}{15}\\\\\frac{13}{15}[/tex]
14.
Find the domain of
x ¹ -2 / x + 1
Answer:
?????????????????????????
PLZ HELP | apply the distributive property to create an equivalent expression
1/4(6e−3f−3/4)
Answer: [tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
Step-by-step explanation: Everything in the parenthesis has to be multiplied by one fourth so we can do something like this: [tex](\frac{1}{4} )(6e)-(\frac{1}{4} )(3f)-(\frac{1}{4} )((\frac{3}{4} )[/tex]
That's distrubiting the one fourth into all of them
Now we simplify
[tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
Five times the sum of twice a number and 12 is -55. Find the number
Use the substitution method or the elimination method to solve the following system.
2x−20y
=
10
−7x+70y
=
−35
9514 1404 393
Answer:
x -10y = 5 . . . . . infinite number of solutions
Step-by-step explanation:
We can put each equation into standard form by dividing it by its x-coefficient.
x -10y = 5 . . . . first equation
x -10y = 5 . . . . second equation
Subtracting the second equation from the first eliminates the x-variable to give ...
(x -10y) -(x -10y) = (5) -(5)
0 = 0 . . . . . . . true for all values of x or y
The system has an infinite number of solutions. Each is a solution to ...
x -10y = 5.
12. The heights of 53 students at Park School are shown in the histogram below.
Height of Students
18
Number of Students
NA ON
44 46 48 50 52 54 56 58 60
Height (inches)
Based on the data in the histogram, which statement is true?
A There are 12 students between 46 and 50 inches in height.
B. Exactly 18% of the students are between 52 and 54 inches in height.
C. More students are between 54 and 60 inches than between 46 and 50 inches in height.
Fewer students are between 44 and 52 inches than between 52 and 60 inches in height.
D
Answer:
Fewer students are between 44 and 52 inches than between 52 and 60 inches in height.
Step-by-step explanation:
Given
See attachment for histogram
Required
Select the true statement
Option A: Class 46-50 = 12 students
From the histogram, we have:'
[tex]Class\ 46 - 48 = 8; Class\ 48 - 50 = 3[/tex]
So:
[tex]Class\ 46 - 48 = Class\ 46 - 48 + Class\ 48 - 50[/tex]
[tex]Class\ 46 - 48 = 8+ 3[/tex]
[tex]Class\ 46 - 48 = 11[/tex]
(a) is false
Option B: %Class 52-54 = 18%
From the histogram, we have:'
[tex]Class\ 52-54 = 18[/tex]
and
[tex]Total = 53[/tex]
So, the percentage is:
[tex]\% Class\ 52-54 = \frac{Class\ 52-54}{Total}[/tex]
[tex]\% Class\ 52-54 = \frac{18}{53}[/tex]
[tex]\% Class\ 52-54 = 0.3396[/tex]
Express as percentage:
[tex]\% Class\ 52-54 = 33.96\%[/tex]
(b) is false
Option C: Class 54-60 > Class 46 - 50 students
From the histogram, we have:'
[tex]Class\ 54-60 =Class\ 54-56 + Class\ 56-58 + Class\ 58-60[/tex]
[tex]Class\ 54-60 = 4 + 4+3[/tex]
[tex]Class\ 54-60 = 11[/tex]
In (a), we have:
[tex]Class\ 46 - 48 = 11[/tex]
By comparison:
[tex]Class\ 54-60 =Class\ 46 - 48 = 11[/tex]
(c) is false
Option D: Class 44-52 < Class 52 - 60 students
From the histogram, we have:'
[tex]Class\ 44-52 =Class\ 44-56 + Class\ 46-48 + Class\ 48-50 +Class\ 50-52[/tex]
[tex]Class\ 44-52 = 4+8+3+9[/tex]
[tex]Class\ 44-52 = 24[/tex]
[tex]Class\ 52-60 =Class\ 52 - 54 + Class\ 54-56 + Class\ 56-58 + Class\ 58-60[/tex]
[tex]Class\ 52-60 = 18+ 4 + 4+3[/tex]
[tex]Class\ 52-60 = 29[/tex]
By comparison:
[tex]24 < 29[/tex]
i.e.
[tex]Class\ 44 - 55 < Class\ 52 - 60[/tex]
(d) is true
Helpp please… due at 12:00
Answer:alternate exterior angles
Step-by-step explanation:
Since they’re on the outside of the parallel lines that makes them exterior
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below in years. Find the mean retirement age.56 65 62 53 68 58 65 52 56
Answer:
59.44
Step-by-step explanation:
Nine employees If an electronic company retired last year
The retirement ages are listed below
56, 65, 62, 53, 68, 58, 65, 52, 56
The mean retirement age can be calculated as follows
= 56+65+62+53+68+58+65+52+56/9
= 535/9
= 59.44
Hence the mean retirement age is 59.44
A line passes through the point (4, -3) and has a slope of -3. Write an equation in slope-intercept form for this line.
y=-3x+9
explanation
m=-3 (X1,Y1) = (4,-3)
(y-y1)= m×(x-x1)
(y-(-3))=-3(x-4)
y+3= -3x+12
y=-3x+12-3
y=-3x+9
Fine the probability. NEED THE STEPS IF POSSIBLE.
Answer:
The probability of getting an even number on a number cube is 1/2
The probability of getting the heads on a dime is 1/2
Step-by-step explanation:
A number cube has six numbers
And three of those numbers are even numbers.
Therefore;
Probability = 3/6
= 1/2
A dime has two faces, heads and tails
One of them is heads
Therefore;
Probability = 1/2
Zero ∉ {whole numbers} True or False?
Step-by-step explanation:
thats true
Find the perimeter of the figure.
What value can you add in the blank in the expression x^2 + 6x + 7 +__ to complete the
square?
Answer:
2
Proof:
x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2
The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
What is trinomial?"It is a polynomial which consists of three terms."
What is square trinomial?"A trinomial with degree 2"The general form of square trinomial is [tex]ax^{2} +bx+c[/tex] where a ≠ 0What is perfect square trinomial?"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"
For given question,
We have been given a square trinomial.
[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]
We need to find the number in the blank space, so that the given trinomial would be complete square.
Let 'm' be the required number.
So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]
Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],
we have a = 1, b = 6, c = 7 + m
We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac
⇒ b² = 4ac
⇒ 6² = 4 × 1 × (7 + m)
⇒ 36 = 4 × (7 + m)
⇒ 9 = 7 + m
⇒ m = 2
This means, we need to add 2 in the blank space.
So, the square trinomial would be,
[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]
Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
Learn more about perfect square trinomial here:
https://brainly.com/question/16615974
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can anybody help me please?! I'll give brainlest for correct answer
Yes I can help you. what do you want the help for?
Answer:
AOB = 65 degree angle
DOE = 35 degree angle
AOC = 90 degree angle
EOB = 115 degree angle
DOB = 80 degree angle
Step-by-step explanation:
Use the protractor to measure. Each dash around the edge is equal to 5 degrees.
Suppose you have a score that puts you 1.1 standard deviations below the mean. What is your percentile score?
Answer:
200000%
Step-by-step explanation:
.
Rewrite as a simplified fraction .16 repeating
Answer:
1/6
Step-by-step explanation:
10x = 1.6666....
100x =16.6666...
90x = 16.6666... - 1.6666...
90x = 15
x = 15/90
x = 1/6
Hello, here's the question :D
"Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n."
Answer:
(examples) n = 2
n = 3
n = 4
Step-by-step explanation:
to demonstrate, all you do is select a number to represent 'n' and plug it in.
so for example, n = 2:
2(2) + 3(2) = 5(2)
4 + 6 = 10, which is true.
12.) The FAA has to periodically revise their rules regarding weight estimates that vary by
season. Airlines currently use an estimate for the weight of an adult male passenger of 190 lbs.
in the summer that assumes
he carries sixteen pounds of baggage and has five pounds of
clothing. According to your textbook, assume that men (not clothed nor carrying baggage) have
weights that are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9
lbs.
a.) If one adult male is randomly selected and is assumed to be also carrying 21 lbs. due to
clothing and baggage, find the probability that the total weight is greater than 190 lbs.
b.) What total weight would separate the lower 20% of men carrying 21 lbs. of clothing and
baggage from the top 80%?
Answer:
a) 0.4856 = 48.56% probability that the total weight is greater than 190 lbs.
b) A total weight of 155.9 lbs.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 188.6 lbs. and a standard deviation of 38.9 lbs.
This means that [tex]\mu = 188.6, \sigma = 38.9[/etx]
21 lbs of baggage are taken into consideration in this estimate.
a.) If one adult male is randomly selected and is assumed to be also carrying 21 lbs. due to clothing and baggage, find the probability that the total weight is greater than 190 lbs.
This is 1 subtracted by the the p-value of Z = 190. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 188.6}{38.9}[/tex]
[tex]Z = 0.036[/tex]
[tex]Z = 0.036[/tex] has a p-value of 0.5144.
1 - 0.5144 = 0.4856.
0.4856 = 48.56% probability that the total weight is greater than 190 lbs.
b.) What total weight would separate the lower 20% of men carrying 21 lbs. of clothing and baggage from the top 80%?
This is the 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 188.6}{38.9}[/tex]
[tex]X - 188.6 = -0.84*38.9[/tex]
[tex]X = 155.9[/tex]
A total weight of 155.9 lbs.
where is EF to the nearest tenth??
Answer:
37.7
Step-by-step explanation:
EF and ED define the Tangent of D
Tan(37) = side opposite D / side adjacent to D
Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle
Adjacent means the leg that is connected to the angle, but is not the hypotenuse.
Tan(D) = opposite over adjacent
Opposite = x
Adjacent = 50
Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.
0.7536 = x / 50 Multiply both sides by 50
0.7536*50 = x
x = 37.6777
The nearest 1/10 is 37.7
$6300 is invested, part of it at 11% and part of it at 6%. For a certain year, the total yield is $533.00. How much was invested at each rate?
$___ was invested at 11%
Answer:
Invested at 11% : 3100
Invested at 6% : 3200
Step-by-step explanation:
let x= amount invested at 11%
let y= amount invested at 6%
we can write
Equation 1: x+y=6300
Equation2: .11x+.06y=533
Divide equation 2 by .06 to get
1.8333333x+y=8883.33333333
Subtract equation 2 from equation 1
.8333333x= 2583.33333333
x= 3100
Plug in x= 3100 into equation 1
3100+y= 6300
y= 3200
Doug's dog food company wants to impress the public with the magnitude of the company's growth. Sales of Doug's dog food had DOUBLED from 2017 to 2018, so the company displayed the following graph, in which the radius of the base and the height of the 2018 can are double those of the 2017 can.
what does the graph show with respect to the growth of the company? (Hint: the volume of a cylinder is given by V= π r^2h, where r is the radius of the base and h is the height ).
Answer:
2018 =2(2017)
Step-by-step explanation:
2018 = 2(πr²h)
The pair of linear equations 2x-3y = 14 and 3x - 2y = 4 has solution(s).
answer plz....
Answer:
2x -3y =1 and 3x-2y= 4 has
Step-by-step explanation:
The pair of linear equations 2x-3y=1 and 3x-2y=4 has one unique solution. , then it has a unique solution other wise not. Since , , it means the pair of linear equations has only one unique solution. Hence, the pair of linear equations 2x-3y=1 and 3x-2y=4 has only one unique solution.
a1/a2= 2/3
b1/b2= 3/-2 (-) cancle so it remains
c1 / c2 = 1/4
a1/a2 = b1/b2 not equal to c1/c2 as no solution
A past study claims that adults in America spend an average of 17 hours a week on leisure activities. A researcher wanted to test this claim. She took a sample of 10 adults and asked them about the time they spent per week on leisure activities. Their responses (in hours) are as follows:13242137152518224032Assume that the times spent on leisure activities by all adults are normally distributed. At the 5% significance level, can you conclude that the claim of this earlier study is true
Answer:
The claim is false.
Step-by-step explanation:
Given the data :
13 24 21 37 15 25 18 22 40 32
The sample mean and standard deviation can ben calculated for the given sample.
Using calculator :
Sample mean, xbar = 24.7
Sample standard deviation, s = 9.04
Sample size, n = 10
The hypothesis :
H0 : μ = 17
H1 : μ ≠ 17
The test statistic :
(xbar - μ) ÷ (s/√(n))
(24.7 - 17) ÷ (9.04/√(10))
7.7 / 2.8586990
Test statistic = 2.694
We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9
Pvalue = 0.0246
Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure
can someone please please answer this
Answer:
720 degrees
Step-by-step explanation:
sum of interior angles of any polygon is given by the equation
[tex]sum \: = (n - 2) \times 180[/tex]
where n is the number of sides of the polygon. in the question the polygon has 6 sides. hence n = 6 and
[tex]sum \: = (6 - 2) \times 180 \\ = 4 \times 180 \\ = 720 \: degrees[/tex]
A text message plan costs $2 per month plus $0.49 per text. Find the monthly cost for x text messages.
The monthly cost of x messages is
dollars.
(Use integers or decimals for any numbers in the expression.)
9514 1404 393
Answer:
2 + 0.49x
Step-by-step explanation:
The total monthly cost is the sum of the fixed cost ($2) and the message charges ($0.49 × number of messages).
The monthly cost of x messages is 2+0.49x dollars.
the answer of
82.4 - 25
Answer:
57.4
Step-by-step explanation:
82.4 - 25 is too easy, a calculator can solve this.
một hộp đựng 11 tấm thẻ được đánh số từ 1 đến 11. tính số cách lấy ra 4 tấm thẻ từ hộp đó để tổng các số ghi trên 4 tấm thẻ ấy là một số lẻ
Answer:
16/33
Step-by-step explanation:
Tổng của cả 4 tấm thẻ là một số lẻ khi:
Có 1 thẻ là lẻ, 3 thẻ còn lại là chẵn, có: 6C1.5C3=60 cách
Có 3 thẻ là lẻ, 1 thẻ là chẵn, có: 5C1.6C3=100 cách
Suy ra có 160/11C4=16/33 cách
A construction worker wants to make a walkway out of concrete pads. Each pad will be
3 ft x 3 ft x 4 in. The walkway is to be 36 feet long and 3 feet wide. If concrete costs
$125 per yd, how much will the concrete for the walkway cost (plus HST)? The
construction worker has been told only whole cubic yards of concrete can be purchased,
part yd cannot be purchased.
9514 1404 393
Answer:
$250 +HST (HST is undefined here)
Step-by-step explanation:
It seems easiest to convert all linear dimensions to yards. A yard is 3 feet, or 36 inches, so each pad is 1 yard square by 1/9 yard thick. Then the volume of a pad is (1 yd)(1 yd)(1/9 yd) = 1/9 yd³.
The walkway is 12 yards long and 1 yard wide, so will require 12 pads.
The total volume of concrete required for the walkway is ...
(12 pads)(1/9 yd³/pad) = 12/9 yd³ = 1 1/3 yd³
Only whole cubic yards can be purchased, so 2 are needed.
The cost is ...
($125/yd³)(2 yd³) = $250 . . . cost of material for the walkway
__
The HST rate is not given here, so we cannot compute the amount of added tax.
HELP ASAP PLEASE!!!
Answer:
the function g because the graphs the graphs of f and g are symmetrical about the line y=x
Step-by-step explanation:
Inverse functions are symmetrical to each other about the line y=x. This means that if you flip a function over y=x, that will be its inverse function. It makes sense because inverse functions turn the input of the original function (x) into the output of the inverse function (y), so y=x and x=y. Take the point (-6,0) on f, it becomes (0,-6) on g.
What is the value of log √10?
Answer:
0.5
Step-by-step explanation:
Answer:
.5
Step-by-step explanation:
calculator
please help me please
9514 1404 393
Answer:
payment: $960.82; interest: $203,918balance: $317,306.36; interest: $227,306.36Step-by-step explanation:
The sum of payments made n times per year for t years and earning annual interest rate r is the value of a single payment multiplied by k, where ...
k = ((1 +r/n)^(nt) -1)/(r/n)
__
Problem 1
The multiplier k is ...
k = ((1 +0.08/4)^(4·25) -1)/(0.08/4) ≈ 312.232306
Then the quarterly deposit needs to be ...
$300,000/312.232306 ≈ $960.82
The sum of the 100 quarterly payments is ...
100 × $960.82 = $96,082
So, the amount of interest earned is ...
$300,000 -96,082 = $203,918
Quarterly payments are $960.82Interest earned is $203,918__
Problem 2
The multiplier k is ...
k = ((1 +0.072/12)^(12·30) -1)/(0.072/12) ≈ 1269.22544
Then the balance resulting from monthly deposits of $250 will be ...
$250 × 1269.22544 = $317,306.36
The total of the 360 payments is $90,000, so the interest earned is ...
$317,306.36 -90,000 = $227,306.36
Account in 30 years is $317,306.36Interest earned is $227,306.36_____
Additional comment
In the case of Problem 1, the deposit amount is rounded down to the nearest cent. This means that the account balance at the end of 25 years will be slightly less than $300,000. The difference is on the order of $0.96. This means both the account balance and the actual interest earned are $0.96 less than the amounts shown above.
In many of these school calculations, we ignore the effect of rounding the payment values. Similarly, we ignore the effect of rounding the account balance values for each monthly or quarterly statement. In real life, the final payment of a series is often adjusted to make up the difference caused by this rounding.
Also worthy of note is that the calculations here assume the payments are made at the end of the period, not the beginning. That makes a difference.