Answer:
n(A) = 5
Step-by-step explanation:
The cardinality of a set is the total number of elements in the set
Given the set
A = {a,e,i,o,u}
The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5
Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.
Answer:
Lateral area -288. Surface area-96
Step-by-step explanation: teacher told me
Use a formula to find the are.
you don't have to answer them all but help me out !!
Answer:
1. 10n
2. 3x^2z^2
3. 2(9n^3 - 3n^2 + 3n - 1)
4. (Put the same thing)
5. There are no common factors so it is completely factored out.
Step-by-step explanation:
For 1, you gotta find the gcf of the numbers and the variables. So, the common factor of 90, 70, 70, and -80 is 10. Nothing else greater than 10 divides these numbers. For the variables, only "n" is the GCF, as there is one "n" and all the other numbers have n^2 and etc.
For 2, same thing, you have to find the gcf for the numbers and the variables.
3. same thing ;-; (gcf is 2 btw, nothing divides the variables because 2 has no "n".
4. theres nothing that divides the numbers or the variables. So, the gcf is just 1.
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121
Answer:
121
Step-by-step explanation:121 ! just got it right.
Answer:
D)
Step-by-step explanation:
on edge
find the mean 8,10,7,3,9,6,4,1
A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)
Answer:
the answer is D
Step-by-step explanation:
i got it right and so would you ;)
The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.
How to calculate confidence interval for population mean ?If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.
Then, we get the confidence interval in between the limits;
[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]
The confidence interval for the mean of the population is (40.5, 41.5).
Hence,option D is correct.
Learn more about confidence interval refer;
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Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same?
Answer:
80 miles for the .9 one.
Step-by-step explanation:
Select the correct answer,
Factor the given expression,
X2 + 16x + 64
O A. (X + 8)(x-8)
OB. (x+ 16)(x + 4)
Oc. (x+4)?
OD. (x+8)?
Answer:
(x+8)^2
Step-by-step explanation:
x^2 +16x+64
What two numbers multiply to 64 and add to 16
8*8 = 64
8+8 = 16
(x+8)(x+8)
(x+8)^2
Corinna rowed 4/5 mile on a rowing machine in 1/6 hour. What is her rowing rate in miles per hour
Answer: 8.20 miles I believe
Jennifrr is flying a kite. The kite has an angle of elevation of 51 degrees and us flying on a 40 feet of string. If jennifer is holding the end of the string 6 feet off the ground, how high above thr ground is the kite? 45.6 ft 37.1 ft 54.7ft 31.2 ft
Answer:
37.1 ft
Step-by-step explanation:
Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.
Let the length of the vertical side be y.
sin 51° = y/40
y = 40 * sin 51°
y = 31.1
The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.
31.1 ft + 6 ft = 37.1 ft
Answer: 37.1 ft
What is the area of the triangle? 13 5 12
Answer:29
Step-by-step explanation:
Do the following conditions make a unique triangle, more than one triangle or no triangle possible?
60°, 30°, 90°
a
unique triangle
b
more than one triangle
c
no triangle possible
Answer:
a- unique triangle
Step-by-step explanation:
30°-60°-90° is a special triangle so the answer is a
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
Answer:
>
Step-by-step explanation:
Answer:
c for me
Step-by-step explanation:
hope that helps you
The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:
Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y
7. carmen estimates that deductions from his gross pay will be 25%. assuming the weekly gross pay is $229.22, carmen can expect the weekly paycheck to be $_________.
Amount of deduction
25% of 229.22229.22/4$57.3Net pay check
229.22-57.3$171.92Answer:
$171.92
Step-by-step explanation:
Given information:
Weekly gross pay = $229.22Gross pay is the pay received before any deductions are taken.
Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.
Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:
75% of $229.22
= 0.75 × 229.22
= 171.915
= $171.92
you are in talks to settle a potential lawsuit. the defendant has offered to make annual payments of 23000 29000 56000 and 84000 to you each year over the next four years respectively. all payments will be made at the end of the year. if the appropriate interest rate is 4.5 percent what is the value of the settlement offer today
Answer:
The defendant has offered to make annual payments of $23,000, $29,000, $56,000, and $84,000 to you each year over the next four years,
PLEASEEEE HELP I WILL MAKE YOU BRAINIEST
Answer:
14
Step-by-step explanation:
Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.
Hope this helps!
Both angles form a right angle which is 90 degrees.
Angle 2 would equal 90 degrees - angle 1
Angle 2 = 90 -34 = 56
So now we know 4x = 56
To find x divide both sides by 4
X = 14
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
Which equation represents a line passing through the point (8, 9) with a slope of 3?
A) y = 3x - 15
B) y = 3x - 8
C) y = 3x + 33
D) y = 3x + 9
Answer:
a
Step-by-step explanation:
basically the number with x is always the slope and I really just put the equations into a inspire and got the answer by which one matched
The equation of line passing through the point (8, 9) with a slope of 3
will be;
⇒ y = 3x - 15
Option A is true.
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The slope of the line = 3
And, The point on the line = (8, 9)
Now,
Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Hence, The equation of line passing through the points (8, 9) with slope '3' is defined as;
⇒ y - y₁ = m (x - x₁)
⇒ y - 9 = 3 (x - 8)
⇒ y - 9 = 3x - 24
⇒ y = 3x - 24 + 9
⇒ y = 3x - 15
Thus, The equation of line passing through the point (8, 9) with a slope of 3 will be;
⇒ y = 3x - 15
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A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. Until defeated, the player continues to context opponents. 1). What is the probability that a player defeats at least three opponents in a game
Answer:
0.512 = 51.2% probability that a player defeats at least three opponents in a game
Step-by-step explanation:
Outcomes in which he defeats less than three opponents:
Lose to the first opponent: 0.2 probability.
Beats the first opponent, loses to the second: 0.8*0.2 probability
Beats the first two opponents, loses to the third: 0.8*0.8*0.2 probability:
Probability of losing before beating three opponents:
[tex]P(b < 3) = 0.2 + 0.8*0.2 + 0.8*0.8*0.2 = 0.488[/tex]
What is the probability that a player defeats at least three opponents in a game?
[tex]P(b \geq 3) = 1 - p(b < 3) = 1 - 0.488 = 0.512[/tex]
0.512 = 51.2% probability that a player defeats at least three opponents in a game
NO LINKS.
12 ÷ x = 36
Find x.
Answer:
x=1/3 or 0.3
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Answer:
Solution given:12 ÷ x = 36
x=12/36=1/3 is your answer
5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study.
Answer:
A. 0.42
B. 0.12
C. 0.45
Step-by-step explanation:
A. The probability that they make the right decision on the first try
First person = 60%
Second person = 70%
= 60% * 70%
= 0.42
B. Probability that they make wrong decision
= Wrong decision from first person * wrong decision from second person
Wrong decision = 1- right decision
= 1-0.60 * 1-0.70
= 0.40x0.30
= 0.12
3. Probability they delay decision
= 0.60(1-0.60)+0.70(1-0.70)
= 0.60x0.40 + 0.70x0.30
= 0.24+ 0.21
= 0.45
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
[tex]\to df = n - 1 = 71-1= 70[/tex]
In point B:
[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898
[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]
Help me please. This is due later today.
Answer:
2:5 i THINK
Step-by-step explanation:
Need the answer to angle 1 angle 2 and angle 3
Answer:
angle 1= 120 and angle 2 and 3 = 30
Step-by-step explanation:
Answer:
answer is below
Step-by-step explanation:
angle1=120°
[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°
The following is a data set of five quiz scores.
92, 88, 90, 96, 84
What is the mean absolute deviation of the scores?
Answer:
The mean absolute deviation is 36.8. Hope this was helpful
Step-by-step explanation:
Randy had to hang a rectangular mirror on a wall. The length of his mirror was ⅚ yards long and ¾ yards wide. What is the area of the mirror?
Answer:
5/8
If you multiply 3/4 by 5/6 you will get 5/8
What is the solution to the linear equation?
2/3 x-1/2=1/3+5/6x
O x = 5
0 x = 1 - 2
0 x =
O x=5
[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]
i hope it helps u
change 7 3/8 from a mixed. number to to an improper fraction
Answer:
59/8
Step-by-step explanation:
Multiply the whole number by the denominator.
[tex]7 * 8 = 56[/tex]
Add the numerator to the product.
[tex]56 + 3 = 59[/tex]
Write the sum over the denominator.
[tex]\boxed{\frac{59}{8}}[/tex]
Hope this helps.
PLLS HELP I HAVE BEEN ASKING FOR 2 DAYS NOBODY HAS HELPED ME PLSSS OMG IM CRYING I WILL GIVE BRAINLIEST
Answer:
D. -(22/4)
Step-by-step explanation:
22/-4= -5.5
-(22/4)= -5.5