Answer:
The heights of basketball players have an approximate normal distribution with mean, μ = 79 inches and a standard deviation, σ = 3.89 inches.
Step-by-step explanation:
Write 23/12 as a mixed number.
Hey there!
23/12
= 23/1 ÷ 12/1
= 23/1 × 1/12
= 23(1) × 1(12)
= 23/12
≈ 1 11/12
Those steps above are somewhat easier to solving your given equation!
Anyways, your answer is: 1 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
the answer is 1 11/12
Step-by-step explanation:
we know that 23 can fit once into 12,
so we can subtract 23 by 12 to get 11
now, we have 1 11/12
1 11/12
What is the measure of \angle K∠Kangle, K?
Answer:
95⁰
Step-by-step explanation:
95⁰ is the measure of <k
Because in a cyclic quadrilateral sum of opposite angles is equal to 180⁰
I hope it helped you
PLEASE HELP WILL GIVE 50 POINTS to the right answer
Answer:
)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!
m∠MFE = 28°
======================
Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line
A straight line has total 180° angle.→ m∠MFE + m∠MFP + m∠PFR = 180°
x + 6 + 90° + 3(x) - 4° = 180°4(x) + 92° = 180°4(x) = 180° - 92°4(x) = 88°x = 22°Solve for m∠MFE
x + 622° + 6°28°Determine the equation of the parabola that opens up, has focus (−2,7), and a focal diameter of 24.
Answer:
[tex] \sf{(x + 2)}^{2} = 24(y -1) [/tex]
Step-by-step explanation:
Given:
focus(h,k)= (−2,7)
Focal Diameter (Latus rectum) = 24
To find:
Equation of parabola= ?
Solution:
Focal Diameter also known as letus rectum is the segment which passes through Focus and intersects the Axis of parabola having end point at the wall of of parabola.
Focal Diameter = 24
[tex]4p = 24 \\ p = \cancel\frac{ 24}{ 4} = 6 \\ \fbox{p = a = 6}[/tex]
Now to find the equation of parabola we need the vertex(h,v).
Vertex is a point on parabola which lies in same axis of symmetry at equidistant from the directrix and Focus and the distance is one fourth of letus rectum.
Now,
[tex] \sf \: (h,v) = (h,k-p) \\ \sf \: (h,v)= (-2,7-6) \\\sf \: \fbox{ (h,v) = (-2,1)}[/tex]
Equation of parabola
[tex]\sf{(x-h)}^{2} = 4a(y - v)[/tex]
Substituting the cordinate of vertex in above equation,
[tex] \sf{(x - (-2)}^{2} = 4 \times ( 6)(y-1 ) \\ \sf{(x + 2)}^{2} = 24(y -1)[/tex]
This is the final answer.
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Please help!!! i'll give brainliest and offering 20 pts each!!!
write each trinomial in the form a(x+b)^2 or a(x-b)^2
please answer all questions correctly! please no spam :-(
5x^2 + 15x + 11.25
10x^2 +20x +10
1/4x^2 + x + 1
3x^2 + 5x + 25/12
explanation isn't necessary, but i will give brainliest to the person with an explanation/best explanation
Answer:
5(x +1.5)^210(x +1)^21/4(x +2)^23(x +5/6)^2Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
_____
Additional comment
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
a number is divisible by 11 if
Answer:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
Step-by-step explanation:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: die and coin. The die column has numbers 1 through 6. Each number branches to H & T in the coin column.
© 2018 StrongMind. Created using GeoGebra.
What is the probability of rolling a 6 or landing on tails?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/3
Step-by-step explanation:
If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.
[tex]\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}[/tex]
Theres a 1/3 more chance of tails than rolling 6
The probability of rolling a 6 or rolling a die is 2/3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
An experiment consists of rolling a die and then flipping a coin.
Probability = Number of desired outcomes / Total outcomes
Probability of rolling a 6 = 1/6
Probability of landing on tails = 1/2
P(A or B) = P(A) + P(B)
Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.
P(A or B) = 1/6 + 1/2 = 4/6 = 2/3
Hence the required probability is 2/3.
Learn more about Probability here :
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If x = 2 and y = -3, what is the value of 2x^2 + 3xy – 2y^2?
Answer: Given as,X=2 & Y=3,
now multiplying we get,
2xxy=2×2×3=12
Ans.) 12
Step-by-step explanation:
Hello people ~
Sketch the graph for y=cot ^-1 (cot x)
Answer:
[tex]\sf y=cot^{-1}(cot(x))[/tex]
[tex]\sf \implies cot(y)=cot(x)[/tex]
[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]
[tex]\sf \implies tan(x)=tan(y)[/tex]
[tex]\sf \implies y=x[/tex]
[tex]\sf \implies y=x\pm\pi n[/tex]
Alexa can follow the sidewalk from the library to the school or she can travel across the grass
directly. Which route is longer?"
Sidewalk-78m
13m
The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.
How to calculate the distance?From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.
In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.
Learn more about distance on:
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pls help with math it is due soon
Answer:
x = 25
Step-by-step explanation:
- Use trigonometric ratios to solve for x
Cos(45) = x / (25×(2^0.5))
x = (Cos(45)) × (25×(2^0.5))
x = 25
Fabian has a loyalty card good for a discount his locate grocery store the item he wants to buy his price at $27 before discount and tax act a discount and before tax price is $26.19 find the percent
Answer:
3%。
Step-by-step explanation:
26•19÷27.00 =.97%
so the remains 3% is after the discount and tax.
what are the features of the function f(x) = 2^x -1 graphed below
I believe it's right two down one
Find the volume of the figure below.
Answer:
a
Step-by-step explanation:
Volume = πr2h
= π×3.52×5
= 61.25π
= 192.42255003237 centimeters3
and
Volume = 7×5×12 = 420 feet3
so,
192.4+420= 612.4 cm^3
Find the volume of a right circular cone that has a height of 3.5 ft and a base
with a diameter of 11.9 ft.
Step-by-step explanation:
the volume of a cone is
base area × height / 3
and the case area is a circle, so we get
pi×r²×h/3
with e being the radius (half of the diameter), and h being the height.
therefore
pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³
y= x^2-2x+2 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.
Answer:
Step-by-step explanation:
y = x^2 - 2x + 2
y = (x - 1)^2 - 1 + 2
y = (x - 1)^2 + 1
Vertex is at (1, 1) and minimum value is 1.
Select the correct answer.
A paper cup in the shape of a cone is used to get water from a water cooler. It has a height of 3 inches and a diameter of 22 inches
What is the lateral surface area of the paper cup to the nearest square Inch?
OA 15 square Inches
OB.
19 square Inches
ОС.
14 square Inches
OD. 18 square Inches
We will see that the lateral surface area of the cone is 14 square inches.
How to find the lateral surface area?
We know that for a cone of height H and radius R, the lateral surface of the cone is:
S = 3.14*R*H
In this case, we know that eh height is 3 + 5/8 inches, and the diameter is 2 + 1/2 inches. Remember that the diameter is twice the radius, then:
R = (2 + 1/2) in = (1 + 1/4) in
Replacing that on the surface equation, we will get:
S = 3.14*( (1 + 1/4) in)*(3 + 5/8)in = 14 in^2
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
Answer:
it's 15
Step-by-step explanation:
guy above was close
Employee identification codes at a company contain 2 letters followed by 4 digits. Assume that all codes are equally likely. Identify the probability that an ID code does not contain the letter I.
A. 0.9246
B. 0.6567
C. 0.7493
D. 0.8321
Using it's concept, it is found that the probability that an ID code does not contain the letter I is given by:
A. 0.9246
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering that for each letter there are 26 possible outcomes and for each digit there are 10 possible outcomes, the total number of outcomes is given by:
T = 26 x 26 x 10 x 10 x 10 x 10 = 6,760,000.
Without the letter "l", the desired number is given by:
D = 25 x 25 x 10 x 10 x 10 x 10 = 6,250,000.
Hence, the probability is given by:
p = 6,250,000/6,760,000 = 0.9246.
Which means that option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x factor a out of the first two terms. f(x) = 5(x2 8x) form a perfect square trinomial. (eight-halves) squared = 16 f(x) = 5(x2 8x 16) – 5(16) what is the function written in vertex form?
The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
What is the parabola?It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
https://brainly.com/question/8495504
You find an apartment which charges 925 a month rent. each year the rent increases by 6% a. write a sequence that represents the rent paid each year for the first 5 years.
Answer:
In the first 5 years, 138,750$ worth of rent will already have been paid.
Step-by-step explanation:
Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.
Thelma and louise drove 341 miles and used 15.5 gallons of gas how many miles did their car get per gallon of gas
Answer:
22 MPG
Step-by-step explanation:
The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is 22miles per gallon.
Use 3.14 for to find The radius of a circle is 1 yard. What is the circle's area?
Answer:
9.42.
Step-by-step explanation:
If you have 3.14 × 3 You would put it over as an equation.
3.14
× 3
----------
9.42 is final answer.
There are 9 slips of paper in a hat, each with a number from 1 to 9. The numbers correspond to a group of students who must answer a question when the number of their group is drawn. Each time a number is drawn, the number is put back in the hat. What is the probability that the first five numbers drawn will be 1,2,3,4,5 in that order?
Answer:
Step-by-step explanation:
Remark
There is only 1 way that you can get 1 2 3 4 5 in that order.
There are many possibilities of drawing 5 numbers from a total of 9 possible ones.
Total number of drawing 5 numbers.
Total = 9 * 9 * 9 * 9 * 9
Total = 59049
So putting the two facts together you get
Chance of getting (1 2 3 4 5) = 1/59049
Answer: .000016935
PLS HELP
Ignore everything above and below the simplify question
Calculate the perimeter of the figure shown below.
5 ft
5 ft
10 ft
18 ft
Answer:
48
Step-by-step explanation:
10+5+18+15
pls mark brainliest
I need help on nine and 10 instructions say to solve these equations by cross multiplying
Answer:
9. a = -1
10. b = 20
Step-by-step explanation:
The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.
__
9.[tex]\dfrac{2a-5}{3a-4}=\dfrac{2a-3}{3a-2}\\\\(3a-2)(2a-5)=(3a-4)(2a-3)\qquad\text{"cross multiply"}\\\\6a^2 -19a +10=6a^2-17a+12\qquad\text{expand}\\\\-2=2a\qquad\text{add $19a-6a^2-12$}\\\\\boxed{a=-1}\qquad\text{divide by 2}[/tex]
__
10.[tex]\dfrac{b-2}{b-6}=\dfrac{b+2}{b-4}\\\\(b-4)(b-2)=(b-6)(b+2)\qquad\text{"cross multiply"}\\\\b^2-6b+8=b^2-4b-12\qquad\text{expand}\\\\20=2b\qquad\text{add $6b+12-b^2$}\\\\\boxed{b=20}\qquad\text{divide by 2}[/tex]
_____
Additional comments
Here are the answer checks:
9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes
10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes
__
Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.
Dan earns £286 over the course of a five-day week. How much is that per day?
Answer:
Answer:56.8
Step-by-step explanation:
First you get how much he earned
Then you get how much days he worked
Then you divide
£284/5
Answer: £57.20
Hope this helps you guys!
Write a congruence statement for the pair of triangles shown.
Answer:
Triangle UTS is congruent to Triangle RST.
Step-by-step explanation:
When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!
Please help me soon, been stuck for a while!
Answer:
Step-by-step explanation:
Answer:
3p + 2s = 27.5
3p + 2s = 27.54p + 3s = 37.5
Multiplies first equation by 4 and second equation by -3
12p + 8s = 110
12p + 8s = 110-12p + -9s = -112.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5
pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds
hope it helps
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Answer:
the blank is 10 lbs
Step by step:
3p + 2s = 27.5
3p + 2s = 27.54p + 3s = 37.5
Multiplies first equation by 4 and second equation by -3
12p + 8s = 110
12p + 8s = 110-12p + -9s = -112.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5
Answer 2:
pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds
Can someone help me?
Answer:
Step-by-step explanation:it is the degree of 4
