Based on the single letter that Peter picks and the single digit, the expected value in one turn for Star One is $-0.296262
How to find the expected value?First, find the probability that Peter picks the correct letter and the correct digit:
= Probability of picking letter x Probability of picking digit
= 1/26 x 1/10
= 0.3846%
The expected value per turn for Star One s:
= (0.3846% x 700) + ( (1 - 0. 3846%) x -3)
= $-0.296262
In conclusion, the expected value for a turn of Star One is $-0.296262.
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delta math When the function f(x) is divided by 3x+7, the quotient is 3x^2+3x-2 and the remainder is −1. Find the function f(x) and write the result in standard form.
Answer:
x=√3
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+3x−2=3x+7
Step 1: Subtract 3x from both sides.
3x2+3x−2−3x=3x+7−3x
3x2−2=7
Step 2: Add 2 to both sides.
3x2−2+2=7+2
3x2=9
Step 3: Divide both sides by 3.
3x2
3
=
9
3
x2=3
Step 4: Take square root.
x=±√3
x=√3 or x=−√3
Step-by-step explanation:
what is correct answer plss tell me also
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
A~ $114 B~ $27.50
C~ $106 D~ $440
Answer
D. 440
Step-by-step explanation:
you had me confused so I had to go in my mathmetics book it was 1/4 not 14 thats what had me confused
If WXY is equilateral and WZY is
isosceles, find each missing measure.
Answer:
m∠1 = 60°
m∠2 = m∠4 = 39°
m∠3 = m∠5 = 21°
Step-by-step explanation:
ΔWXY is a equilateral angle,
Therefore, all angles of the the triangle are equal in measure.
m∠W + m∠X + m∠Y = 180°
3m∠W = 180°
m∠W = 60°
Since, ΔWZY is an isosceles triangle,
m∠3 = m∠5
m∠3 + m∠Z + m∠5 = 180°
m∠3 + 138° + m∠3 = 180°
2m∠3 = 180 - 138
m∠3 = 21°
Therefore, m∠3 = m∠5 = 21°
Since, m∠2 + m∠3 = 60°
m∠2 = 60 - 21
= 39°
Since, m∠4 + m∠5 = 60°
m∠4 = 60 - 21
= 39°
m∠1 = 60°
Find the 13th term of the arithmetic sequence -5x+8−5x+8, x+2x+2, 7x-4,
The 13th term of the given arithmetic sequence is estimated as a = 67x - 64.
What is meant by sequence to be arithmetic?In Arithmetic Progression, the difference between the two arithmetic orders is a constant value (AP). Arithmetic Sequence is another name for it.
We'd get to a few specific terms in AP, that were denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)The AP may also be defined using common distinctions, as shown below.
The following is the formula for determining an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, for the given question;
Consider the first term is 'a₁' = -5x+8
Consider the second term as 'a₂' = x+2
Then, the common difference is calculated as;
d = a₂ - a₁
d = x+2 -(-5x+8)
d = x+2 + 5x - 8
d = 6x - 6
Now, find the 13th term using the formula of nth term;
an = a + (n − 1) × d
a₁₃ = a₁ + (13 - 1) × d
Substituting the values;
a₁₃ = -5x + 3 + (13 - 1) × (6x - 6)
a₁₃ = -5x + 3 + (12) × (6x - 6)
a₁₃ = -5x + 3 + 72x - 72
a₁₃ = 67x - 64
Therefore, the value of the 13th term of an arithmetic sequence is found as a₁₃ = 67x - 64.
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The correct question is-
Find the 13th term of the arithmetic sequence
−5x+8, x+2, 7x-4,
OKAY BRAINLY 3 MORE MATH QUESTIONS AND THEN IM OUT OF YOUR HAIR FOR TONIGHT AND YOU CAN STOP SENDING ME WARNINGS!!!!1
Answer:
1. Undefined slope 2.y<2x-5 3.30x+515
Step-by-step explanation:
5.
Select the correct answer from each drop-down menu.
A school club will be competing at a state championship has been working to raise money for the club's travel expenses. The table shows
the amount of money raised each month over a nine-month period beginning in August
Month
1
2
4
5
6
7
8
9
Amount ($)
250
275
325
300
350
375
375
350
350
Based on the data in the table, Clara and Michael each use their own function to determine the amount of money the club should expect to raise
in the next three months.
Clara's function: y = -3.14.2 + 44.75 + 203.6
Michael's function: y = 44.64V1 + 1 + 246.5
How does using the different models affect the amount of money the club would expect to raise in the next three months?
If the club uses Clara's function, it would expect the amount of money to
If the club uses Michael's function, it would expect the amount of money to
each month
each month
Reset
Next
Answer:
descrease & increase
Step-by-step explanation:
Answer:
Decrease and increase.
Step-by-step explanation:
MARKING BRAINLIEST TO CORRECT ANSWERS ONLY!
A teacher’s monthly gross pay is $5,321. The federal government withholds 15% of the teacher’s monthly gross pay for income taxes. How much does the teacher pay in income tax every month?
Answer:
$798.15
Step-by-step explanation:
Easy multiply $5,321 by 15
79,815/ 100
if the sides of two squares be a and b meters respectively, what will be the ratio of their areas?
Answer:
a² ; b²
Step-by-step explanation:
Given sides of similar figures is a : b , then
ratio of areas = a² : b²
A farmer divides a rectangular plece of land with a perimeter of 140 yards into two trlangular parts as shown in the dilagram. If the area of ABC Is
600 square yards, what is the area of ACDR
Answer:
460 Square Yards.
Step-by-step explanation:
This answer was made using X,Y,Z in yards. (And Times)
A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is considering ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Answer:
D on edge
Step-by-step explanation:
HURRY HELP!!!!!!!!!
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answer:
A: (1, 8.5)(2, 8)(3, 7.5)(4, 7)(5, 6.5)(6, 6) B: Yes C: Yes Step-by-step explanation: A: I obtained the ordered pairs by subtracting .5 inches from 9 inches for each second. B: Yes because for every input there is only one output. For example after 2 seconds, the candle is 8 inches.
Step-by-step explanation:
HELP What is the equation in slope-intercept form of the line that crosses the y-axis at 3 and is perpendicular to the line represented by y=2/5x+2
Answer:
its C
Step-by-step explanation:
the square root of 3x+4=4 what is x
Answer: x=10
Step-by-step explanation: 1.Subtract the numbers
2. Divide both sides of the equation by the same term
3.Simplify (Cancel terms that are in both the numerator and denominator)
Find the compound interest on Rs. 2000 for one year at the rate of '20%' per annum. If theinterest compounded quarterly.
Given:
Principal = Rs. 2000
Rate of interest = 20% p.a. compounded quarterly.
Time = 1 year
To find:
The compound interest.
Solution:
Formula for amount:
[tex]A=P\left (1+\dfrac{r}{n}\right)^{nt}[/tex]
where,
P = Principal
r = Rate of interest
t= Time
n = number of times interest compounded in an year.
Putting P=2000, r=0.2, n=4 and t=1, we get
[tex]A=2000\left (1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]
[tex]A=2000\left (1.05\right)^{4}[/tex]
[tex]A=2000\left (1.21550625\right)[/tex]
[tex]A=2431.0125[/tex]
Now, the compound interest is
[tex]C.I.=A-P[/tex]
[tex]C.I.=2431.0125-2000[/tex]
[tex]C.I.=431.0125[/tex]
Therefore, the compound interest is Rs 431.0125.
how to solve for x???
Answer:
50 degrees
Step-by-step explanation:
Since this is an isosceles triangle, and the measurements on the left and right are the same, that means that both angle measurements on the bottom are the same.
180 - 80 = 100
100/2 = 50
how do i know which one to use?
SOH-CAH-TOA
Answer:
S is sine, C is cosine and T is tangent
Step-by-step explanation:
For sine, it's Opposite/Hypotenuse
For Cosine, it's Adjacent/Hypotenuse
and for Tangent, it's Opposite/Adjacent.
Hope this helps.
Answer
SOH is Sine: Opposite leg on Hypotenuse.
CAH is Cosine: Adjacent leg on Hypotenuse.
TOA is Tangent: Opposite leg over Adjacent leg.
Step-by-step explanation:
Depending on what you ask to find the problem.
Which of the following statements about the graph of y=3/4x-1
Answer:
Its C and B
Step-by-step explanation:
Consider the line 7x+9y=5
what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?
Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
Step-by-step explanation:
We know the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope b is the y-interceptGiven the equation
[tex]7x+9y=5[/tex]
simplifying to write in the lope-intercept form
[tex]y=-\frac{7}{9}x+\frac{5}{9}[/tex]
Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
We know that the parallel lines have the same slope.Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
PROVING A THEOREM In Exercises 7-9, write a two-column proof for the property. (See Example 3.) 7. Reflexive Property of Segment Congruence 8. Transitive Property of Angle Congruence 9. Transitive Property of Segment Congruence
The two-column proof are properties written with reason statements.
How to write two column proofs ?Two column proof is always written in two columns. This proof is consist of two parts, first one is the statement part which contain the exact statement of theorem and second part is reason part which consist of reason for that particular statement or equation. Both the parts are written in different columns, thus the proof is called as two-column proof.
In the given question , two-column proofs are as below :
for part 7 - Reflexive Property of Segment Congruence
To prove: (AB)' ≅ (AB)'
Proof :
Statements Reasons
segment AB Given
AB = |(AB)'| Definition of segment length
(AB)' = (AB)' Reflexive property
(AB)' ≅ (AB)' Definition of congruent segments
for part 8 - Transitive Property of Angle Congruence
To prove: ∠A ≅ ∠C
Proof :
Statements Reasons
∠A ≅ ∠B Given
∠B ≅ ∠C Given
m∠A = m∠B Definition of congruent angle
m∠B = m∠C Definition of congruent angle
m∠A = m∠C Definition of Transitive property
∠A ≅ ∠C Congruence property
for part 9 - Transitive Property of Segment Congruence
To prove: ∠A ≅ ∠C
Proof :
Statements Reasons
∠A ≅ ∠B Given
∠B ≅ ∠C Given
∠A ≅ ∠C Transitive Congruence property
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HELP ASAP
HELP ASAP
HELP ASAP
HELP ADAP
Find the values of m and n.
Determine the slope
A.2/5 B.-3/8 C.-5/2
Answer:-5 per 2
Step-by-step explanation:m= y1-y2perx1-x2
=–8–7per–4–2 = –15per–6 = –5 per 2
Write the word sentence as an equation.
A number a decreased by 20 is 5.
An equation is
Answer:
n-20=5
Step-by-step explanation:
When it doesn't give you a number use a variable like n or m.
Simplify 3x + 6x2 - 5x - x2. 6 x^2 + 2 x
6 x^2 - 2 x
5 x^2 - 2 x
5 x^2 + 2 x
Answer: 2-9x2
Step-by-step explanation:
uhhh i am pretty sure it is d
Please help.............
Answer:
a. 754cm³ (3 s.f.)
b. 415cm² (3 s.f.)
Step-by-step explanation:
Formulas (for easier reference):
Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³
Surface area of cone without base: [tex]\pi[/tex]rl
Surface area of hemisphere without base: 2[tex]\pi[/tex]r²
We can just apply the formulas for the question:
Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)
= 96[tex]\pi[/tex] + 144[tex]\pi[/tex]
= 240[tex]\pi[/tex]
= 754cm³ (3 s.f.)
Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)
= 60[tex]\pi[/tex] + 72[tex]\pi[/tex]
= 132[tex]\pi[/tex]
= 415cm² (3 s.f.)
plzplPzlpzlzpzl .......i beg u do this easy question for me ....
Answer: [tex]-p^2-(q+r)^2[/tex]
Work Shown:
I'm assuming your teacher wants you to factor as much as possible.
[tex]-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\[/tex]
In the last step, I used the rule that [tex](a+b)^2 = a^2+2ab+b^2[/tex]
We cannot factor any further. If the first term was [tex]p^2[/tex] instead of [tex]-p^2[/tex], then we could use the difference of squares factoring rule.
Someone help I’m failin geometry
The value of x will be 12°
How to calculate the angle?It should be noted that vertically opposite angles are equal.
Therefore, 4x will be equal to 48°
The value of x will be calculated thus:
4x = 48
Divide
x = 48/5
x = 12
Therefore, the value of x will be 12°
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Answer: 12
Step-by-step explanation:
vetrtical angles are equal to eachother. So to solve you would do
4x=48
then you have to get x by itself and to do so you need to divide the four by itself which will leave one. And as a rule you have to do it to the other side as well so…
4/4x=48/4
x=12
And that’s your answer
hope this helps
what is the equation of the line?
Answer:
(3,10)-(3,-10)
Step-by-step explanation:
The equation of line is x =3 .
Given,
Straight line graph.
Now,
Equation of line : y = mx + c
m = slope of straight line
c = y intercept.
Here,
The straight line is passing through x = 3 and y = 0.
So, y intercept is also zero.
Thus the equation of line : x = 3
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An airplane is descending to a runaway. At an altitude of 15.2 miles, its horizontal distance to the runway is 60 miles. Find the angle of descent.
Answer-
The angle of descent is 14.2
The measure of the angle of the descent will be 14.22°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
A plane is sliding to a runaway. At a height of 15.2 miles, its level distance to the runway is 60 miles.
The tangent of angle θ is the ratio of the height to the base of the right-angle triangle.
The measure of the angle of the descent will be given as,
tan θ = 15.2 / 60
tan θ = 0.2533
θ = tan⁻¹ 0.2533
θ = 14.22°
The measure of the angle of the descent will be 14.22°.
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how to simplify 12+ 2(3x+7)
Answer:
26+6x
Step-by-step explanation:
check the image for explanation
what is the slope between (5,6), (8,13)?
Answer:
2.3
Step-by-step explanation
Answer:
7/3
Step-by-step explanation:
The difference between the x is 3 and this is the run
The difference between the y is 7 and this is the rise.
The slope is rise over run so we have:
7/3