Answer:
B. 99.098%
Step-by-step explanation:
The probability that the person will not die in the next year is 99.098% .
Correct option is B.
What is probability?Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.
Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (Event) = Favorable Outcome/Total Outcome = x/n
Given,
Probability of a person will die next year = 902/100000
sum of the probabilities of all events in the sample space is 1.
Then probability of the person will not die in the next year
= 1 - 902/100000
= 1 - 0.00902
= 0.99098
= 0.99098 × 100/100
= 99.098%
Hence, 99.098% is the probability that the person will not die in the next year.
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A class survey provides the data shown.
1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11
Which box plot represents the class?
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]
HELP!! 5) Which number is IRRATIONAL?
A) V9
B) V27
C) V36
D) V81
What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x
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Answer:
(d) y = 1/2sin(2x)
Step-by-step explanation:
The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.
For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...
y = 1/2sin(2x)
URGENT PLZ HELP
use the graph to write an equation of the line
A triangle has base 4 cm
and height 9 cm, What is its
area
Answer:
18 cm^2
Step-by-step explanation:
Formula for area of triangle: bh/2
4x9=36
36/2=18
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11
The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
How to determine the location of the point?The points are given as:
A = 2
B = 17
Point = 3/5
The location of the point is then calculated as:
Point = A + 3/5(B - A)
So, we have:
Point = 2 + 3/5(17 - 2)
Evaluate the product
Point = 2 + 9
Evaluate the sum
Point = 11
Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
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Jane went shopping for a new bike the bike store had an electric bike originally priced at $1500 but the only said that she could have a reduction in price of the bike by 20% what is the reduced price after Jane will pay?
Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Answer:
Y=2x+4
Step-by-step explanation:
Y=Mx+b is the slope intercept formula
subtract 2x so you get -y=-2x-4. Then divide everything by-1 .
Which choice is equivalent to the expression below?
(-4)-5
The A-frame cabin shown below is 35 feet wide. The roof of
the cabin makes a 60° angle with the cabin's base. Find the
length of one side of the roof from its ground level to the
peak. Round to the nearest tenth of a foot.
Answer:
25
Step-by-step explanation:
1. Nasir borrowed $420 for six months with $77 monthly payments.
How much interest will he pay on this loan?
$77
$57
$52
$42
2. Casey borrowed $814 for nine months, with payments of $105.50 monthly.
What will he pay in interest?
$103.16
$105.80
$122.40
$135.50
Answer: 52 and 793.25
Step-by-step explanation:
Answer:
1: 52
2: 105.80
Step-by-step explanation:
What is the product of 3/4 multiplied by x = 1/2?
Please dont do a file or link, just the straight up answer, thanks.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer: 4.12 km
Step-by-step explanation:
Use the Pythagorean theorem. Name the hypotenuse (longest side) c and the bottom side b. Then, simplify and solve for a.
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 + 64 = 81
a^2 = 17
a = square root of 17 or approx. 4.12
Please give brainliest!
Please helpppp i will mark brainlisttt
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of 51
$?
Answer:
33.33 percent
Step-by-step explanation:
$88
Step-by-step explanation:
55 increase 60%=
55x(1+60%)=55x(1+0.6)=88
P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.
Answer:
P
[tex] \alpha [/tex]
1/q²
P=k/Q²
K=P×Q²
Where P=9
Q=8
K=?
K=9×8²
K=9×64
K=573
So where K= 573
Q=3
P=?
P=K/Q²
P=573/3²
P=573/9
P=63.67
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice . How much apple juice does Jada need if she uses 6 cups of sparkling water?
Answer:
3 cups of sparkling water
Step-by-step explanation:
So the ratio is 2:4=?:6
Setting them equal to each other, you'll divide 6 by 4
You get 1.5, then multiply 2 by 1.5 to get 3
A rectangular prism has a volume of 192 cubic inches the prism is 4 inches wide.....
Answer:
6 inches
Step-by-step explanation:
the formula for the volume of a rectangular prism is width*length*height.
Here we are asked to find the height when given a volume. The resultant equation is:
volume = w * l * h
192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:
192 cu.in./32 sq.in.= h inches
6 inches = height
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answer:54.9
Step-by-step explanation:
∠DGC and ∠CGB are □ angles.Adjacent
Adjacent
Complementary
Supplementary
Vertical
Answer:
They are adjacent angles
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
(HElP) which answers describe the shape below?
I think it would be A, B, D and E.
Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200
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Answer:
a) 3.18 years
b) 13.52 years
c) 23.10 years
Step-by-step explanation:
Solving for t, we find ...
A = Pe^(rt)
A/P = e^(rt)
ln(A/P) = rt
t = ln(A/P)/r
For P=100 and r=.03, the times are ...
a. $110: t = ln(110/100)/.03 ≈ 3.18 years
b. $150: t = ln(150/100)/.03 ≈ 13.52 years
c. $200: t = ln(200/100)/.03 ≈ 23.10 years
For every 1000 videos it makes £2 from ad revenue.
How many videos are required to make £25
Step-by-step explanation:
If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!
(the answer would be 12,500)
The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know?
Part B: Explain what the solution from Part A means in the context of the problem.