The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 is 0.4179.
How to calculate probability?The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 will ba calculated thus:
= [(9C6 /12C9) × 1/2] + [(9C7)/12C10) × 1/2]
= 42/220 + 18/66
= 0.1909 + 0.2727
= 0.4179
In conclusion, the probability is 0.4179.
Learn more about probability on:
https://brainly.com/question/24756209
Help picture below problem 13
Which diagram is NOT a good model of 3÷1/4?
Answer:
The diagram with three triangles is not a good representation.
The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
What is the y intercept of the equation-16x^2+64x+80?
Answer:
(0, 80)
Step-by-step explanation:
The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.
__
The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).
Select all possible values for x in the equation
Answer:
x = ∛375
Step-by-step explanation:
This expression can be written in multiple ways:
x³ = 375
x = ∛375
x = 5∛15
Seems like x = ∛375 is the only correct answer choice.
Hope this helps!
The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost
Answer:
$100 answers your question
Pamela made a profit of $3250 after selling stocks for $10500 after 4 years. What was her average annual percentage gain?
Pamela's average annual percentage gain was = 7.7%
Calculation of annual percentage gainThe start up capital (P) = $10500
The simple interest (SI) = $3250
Time (T) = 4 years
Rate = ?
But SI = P × T × R /100
Make R the subject of formula,
R = SI × 100/P × T
R = 3250 × 100/ 10500 × 4
R = 325000/ 42000
R = 7.7%
Therefore, Pamela's average annual percentage gain was = 7.7%
Learn more about simple interest here:
https://brainly.com/question/25793394
angles A, B, and Y are in quadrants 1, 2, 3 respectively such that:
tan A= 2
tan B= -4/3
cos Y= -1/3
evaluate the following:
1)cos(2B)
2)tan(2A)
3)cos(Y/2)
4)tan(Y/2)
5)sin(B/2)
6)csc(2B)
7)sec(A/2)
Answer:
so the lol is the very nice in the lol morning in the 1098 in 1233 because is use the lol in morning.
Adam ate 2 cherries. Stella ate 3 times as many cherries as Adam.
Which number sentence shows how many cherries Stella ate?
If 12% of a number is 30, find 4% of that number.
Answer:
12 of 40=30 so if you do 4 percent of 40 its 1.4
Step-by-step explanation:
The area of the circle
Answer:
314 miles
Step-by-step explanation:
Area of circle: 3.14(r^2)
Now lets solve!
3.14(10^2)
3.14(100)
314
Have an amazing day!!!
Please rate and mark brainliest!!
The area of the circle formula --> [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ 3.14r: length of radius --> 10 mi[tex]Area = \pi r^2=\pi (10mi^2) = (100\pi) mi^2= 314 mi^2[/tex]
Hope that helps!
help pls
30 brainly points
Asap
Answer:
heya! ^^
we've been given an expression which is as follows -
[tex]4 {}^{2} - \sqrt{25} [/tex]
let's deal with this expression by dividing it into two separate parts which may help understand better.
______________________________________
★ let's first deal with the first part which is - [tex]4 {}^{2} [/tex]
now ,
[tex]4 {}^{2} \: can \: also \: be \: written \: as \\ \\ 4 {}^{2} = 4 \times 4 \\ 4 {}^{2} = 16[/tex]
★ now , let's consider the second part which is - [tex] \sqrt{25} [/tex]
this can also be written as " 5 " since ,
[tex] \sqrt{25} = 5[/tex]
______________________________________
let's have a look at the entire expression altogether now.
[tex]4 {}^{2} - \sqrt{25} \\ \\\dashrightarrow 16 - 5 \\ \\ \dashrightarrow \: 11[/tex]
hope helpful :D
need help with this question
if books cost $14.99, and there is 5% sales tax, how much is the sales tax on the books?
Answer:
0.7495 or 0.75 sales tax
Step-by-step explanation:
5% of 14.99 is 0.7495. rounded to the nearest tenth it is 0.75
The outer rectangle is 2 feet by 4 feet. There is a semicircle and isosceles triangle within the rectangle. Find the area of the shaded region to the nearest tenth.
To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.
How to find the area of a shaded area?Determine the total area of the figure, in this case, the are of the rectangle that contains the triangle and the semicircle.Calculate the area of the white region.Substract the non-shaded area to the total area.How to find out the area of different shapes?Rectangle: side x side = 2 x 4 = 8 square feetIsosceles triangle = 1/2 base x heightSemicirle = 1/2 (π x r^2)Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.
Learn more about triangles in: https://brainly.com/question/2773823
Find the prime factorization of 495=
Def. of Prime Factorization: defined as a way of finding the prime factors of a number
[tex]495=3^2*5*11[/tex]
Hope that helped!
gggggggggggggggggggggg
Answer:
12/25
Step-by-step explanation:
lashonda had 4 fiths of 1 acre of land, and 3/5 of the 4 fiths of land is corn.
If you multply 3/5 by 4/5 you will get you answer: 12/25 or 0.48
My sister needs help
Answer:
» 15
Step-by-step explanation:
» 5*3=15
hope this helps.
a swim team consists of seven boys and four girls a relay team of four swimmers is chosen at random from the team members what is the probability that two boys are selected for the relay team given that the first two selections were girls
Answer:
16/121
Step-by-step explanation:
First, we need to calculate the chance of a girl being selected for the first pick.
Since there are 4 girls and 7 boys, there are 11 total members on the team. Since 4 of them are girls, there is a [tex]4/11[/tex] chance that a girl is chosen first pick.
Next, to find the chance of the second selection to also be a girl, we have to multiply 4/11 by 4/11 to find that total.
[tex]\frac{4}{11} *\frac{4}{11} =\frac{16}{121}[/tex]
Therefore, the chance of the first two selections being girls is 16/121.
#LearnWithBrainly
Find the solution of the system of equations. x-3y= -13
2x+15y=16
Answer: [tex]x=-7, y=2[/tex]
Step-by-step explanation:
Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]
Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]
Substituting this back into the first equation gives that [tex]x=-7[/tex]
[tex]\therefore x=-7, y=2[/tex]
use a sum or difference formula to simplify the expression Sin (x+π)
Answer:
- sin (x)
Step-by-step explanation:
The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width?
Answer:
87
Step-by-step explanation:
Plsss help
Explain how the shapes shown have been sorted.
Answer:
A have no right angles and B had all right angles.
could i have some super quick quick help? graph part isn't necessary
y=4x²-1
#1
y=(2x)²-1²y=(2x+1)(2x-1)#2
Zeros are 1/2,-1/2
#3
Convert to vertex form y=a(x-h)²+k
y=(4x+0)²-1Vertex(h,k)=(0,-1)
#4
Graph attached
Answer:
i) [tex]y=(2x+1)(2x-1)[/tex]
ii) [tex]x=-\dfrac12, x=\dfrac12[/tex]
iii) (0, -1)
iv) see attached
Step-by-step explanation:
Given quadratic: [tex]y=4x^2-1[/tex]
Factored form
We can use the Difference of Two Squares to factor the given quadratic.
[tex]a^2-b^2=(a+b)(a-b)[/tex]
Therefore,
[tex]a^2=4x^2=(2x)^2\implies a=2x[/tex]
[tex]b^2=1=1^2 \implies b=1[/tex]
So the relation in factored form is:
[tex]y=(2x+1)(2x-1)[/tex]
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
[tex]\implies y=0[/tex]
[tex]\implies (2x+1)(2x-1)=0[/tex]
[tex]\implies (2x+1)=0\implies x=-\dfrac12[/tex]
[tex]\implies (2x-1)=0\implies x=\dfrac12[/tex]
Therefore, the zeros are -1/2 and 1/2
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\textsf{midpoint}=\dfrac{-\frac12+\frac12}{2}=0[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]\implies y=4(0)^2-1=-1[/tex]
Therefore, the vertex is (0, -1)
6. Freddy gets an allowance of £50 each month.
His parents increase is by 35%. How much does
Freddy now receive for his allowance?
Answer:
$67.5
Step-by-step explanation:
New value =
50 + Percentage increase =
50 + (35% × 50) =
50 + 35% × 50 =
(1 + 35%) × 50 =
(100% + 35%) × 50 =
135% × 50 =
135 ÷ 100 × 50 =
135 × 50 ÷ 100 =
6,750 ÷ 100 =
67.5
WILL GIVE BRAINLY
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals [tex]\frac{3}{5}[/tex]
Question 1 options:
Angle B
Angle Y
Angle Z
Angle C
Angle A
Angle W
Answer:Angle W and Angle C
Step-by-step explanation:
The angles whose cosine equals 3/5 are <A and <W.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
ΔACB and ΔWZY are similar to each other.
Now, Using trigonometry
cosine = Adjacent leg/ Hypotenuse
We have cosine = 3/5
where Adjacent side =3 and Hypotenuse = 5
So, the angle which have Adjacent side 3 in both triangles are
<A and <W.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ2
help me please complete the table at the right by writing the fraction of the day each animal sleeps and an equivalent fraction remember there are 24 hours in a day
Answer:
1 day = 24 hours
Divide each of the "number of hours spent sleeping" by the total number of hours in a day (24). Then divide the numerator and denominator by the highes common factor to reduce the fraction to its simplest equivalent.
[tex]\sf Cat=\dfrac{12}{24}=\dfrac{12 \div 12}{24 \div 12}=\dfrac{1}{2}[/tex]
[tex]\sf Cow=\dfrac{4}{24}=\dfrac{4 \div 4}{24 \div 4}=\dfrac{1}{6}[/tex]
[tex]\sf Squirrel=\dfrac{15}{24}=\dfrac{15 \div 3}{24 \div 3}=\dfrac{5}{8}[/tex]
[tex]\sf Tiger=\dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]
Simplify the expression. Write the answer using scientific notation.
a) 2.52 × 10–3
b) 2.52 × 10–2
c) 2.52 × 10–1
d) 4.3 × 10–2
Answer:
b) 2.52 x 10^(-2)
Step-by-step explanation:
0.7 X 3.6 = 2.52
2.52 X 10^(-2)
A house blueprint has a scale of 1 in. : 6 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint.
Answer:
The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().
Given information:
A house blueprint has a scale of 1 in : 4 ft.
The length and width of each room in the actual house are shown in the table below:
Living room Kitchen Office Bedroom Bedroom Bathroom
Length 20 16 8 8 20 6
width 8 16 16 16 20 8
The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.
So, the length and width of the different rooms in te house in the blueprint will be,
Living room Kitchen Office Bedroom Bedroom Bathroom
Length(in) 5 4 2 2 5 1.5
width(in) 2 4 4 4 5 2
Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().
For more details, refer to the link:
brainly.com/question/2305449
Step-by-step explanation:
hope this helps
Please help me solve this problem
Answer:
See belowStep-by-step explanation:
Since all graphs pass throught the origin, they all have the form of:
y = ax², where a- coefficientThe coefficient of each graph's equation can be calculated based on the given pairs of points.
Each of them calculated for you and attached below.
The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 32 × 12 based on this method?
Answer:
300
Step-by-step explanation:
32 rounds to 30.
12 rounds to 10.
30 × 10 = 300
Answer: 300
Answer:
[tex]beinggreat78~here~to~help.[/tex]
So the method is clearly stating that we need to round to the nearest ten, so let's round using the rule set.
If the number is below 5, round down.If the number is 5, round up.If the number is above 5, also round up.This array should help you vision the sequence better.
⇒ [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Now, using the rounding ruleset, we have to find what to round to. Since 32 and 12 both have a ones digit below 5, we round down, meaning we now have 30 and 10. The last step is to multiply 30 by 10 to get your estimate.
[tex]30[/tex]
[tex]*~10[/tex]
▬▬
[tex]300[/tex]
With this information, your answer is 300(rounded to nearest ten)!