Answer:
50%
Step-by-step explanation:
no matter how many times it is flip you will get heads or tails.
Answer:
50%
Step-by-step explanation:
two sides 1/2= 50%
A presidential candidate plans to begin her campaign by visiting the capitals of 5 of the 50 states. If the five capitals are randomly selected without replacement, what is the probability that the route is Sacramento, Albany, Juneau, Hartford, and Bismarck, in that order?
Answer:
The probability is 1/254,251,200
Step-by-step explanation:
We proceed as follows;
Firstly, we are selecting 5 state capitals out of 50. The number of ways we can do this is 50P5 = 50!/5!(50-5)! = 254,251,200 ways
Now, out of this number of ways , only one route is desired in that particular order.
This means the probability of having the route scheduled in that particular order would be;
1/254,251,200
Answer:
0.000000003933
Step-by-step explanation:
As the candidate will visit the capitals of 5 of the 50 states, the probability of each capital being selected is 1/50.
As we want a probability of 5 specific capitals in a specific order, we can calculate the probability of each capital being chosed:
First city being Sacramento: Probability of 1/50
Second city being Albany: Probability of 1/49 (as the first city is not available now)
Third city being Juneau: Probability of 1/48
Fourth city being Hartford: Probability of 1/47
Fifth city being Bismarck: Probability of 1/46
So the final probability is 1/(50*49*48*47*46) = 0.000000003933
A submarine dives as shown in the diagram.
To the nearest degree, determine the dive angle whose measure is x.
Answer:
Tan x = 125/500= 0.25
so x = arctan (0.25)
=14 degree
The measure of the diving angle is 14°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sea level and 500 ft are parallel.
This means,
x° and end drive angles are alternate angles.
So,
tan x = 125/500
tan x = 0.25
x = [tex]tan^{-1}[/tex] (0.25)
x = 14°
Thus,
The measure of the diving angle is 14°.
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6c + 14 = -5c + 4 + 9c solve for c
Answer:
-5
Step-by-step explanation:
6c + 14 = -5c + 4 + 9c
6c + 14 = 4c + 4
- 4. - 4
--------------------------
6c + 10 = 4c
- 6c - 6c
-----------------------
10 = -2c
--------------
-2. -2
C = -5
Answer:
-5 = c
Step-by-step explanation:
Step 1
6c + 14 = -5c + 4 + 9c
subtract 4 to the other side, then subtract 6c to the opposing side
ex: 14-4 = -5c -6c +9c
then combined.. 10= -2c
Step 2
divide -2 from 10 to solve for c.
ex: 10/-2 = c
solve... -5 = c
12(x-3)=10+2(6x-10)
Please help! I will mark brainliest.
Sean opened a savings account and deposited $1,000.00 as principal. The account earns 6% interest, compounded annually. What is the balance after 7 years?
Use the formula A=P(1+ʳ/ₙ)ⁿᵗ, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Answer: A = $1503.6
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 1000
r = 6% = 6/100 = 0.06
n = 1 because it was compounded once in a year.
t = 7 years
Therefore,.
A = 1000(1 + 0.06/1)^1 × 7
A = 1000(1.06)^7
A = $1503.6
A bag contains 5 red balls 3 green beads and 2 blue beads if three beads are picked from the bag at radnom without replacement what is the probability that the beads that are picked are all different colors?
Answer:
1/4 or 0.25
Step-by-step explanation:
please kindly check the attached files for details
The world population1 , in billions, was approximately , where is in years since April 20, 2014. At what rate was the world's population increasing on that date? Give your answer in millions of people per year, rounded to one decimal place.
Answer:
76.3 millions of people per year
Step-by-step explanation:
Missing text of the question:
"The world population1 , in billions, was approximately
[tex]P=7.17e^{0.01064t}[/tex]
where t is in years since April 20, 2014. At what rate was the world's population increasing on that date? Give your answer in millions of people per year, rounded to one decimal place."
Answer:
The expression that gives us the world population in billions t years after April 20, 2014 is
[tex]P=7.17e^{0.01064t}[/tex]
Where t is expressed in years.
Here we want to find the rate of change of this function at that date.
The rate of change of a function is given by its derivative. Therefore, we have to calculate the derivative of the function P, and the calculate its value at the date indicated.
The derivative of the function is:
[tex]P'(t)=7.17 \cdot 0.01064 e^{0.01064 t}=0.0763 e^{0.01064t}[/tex]
Now we want to find the rate of change at the date April 20, 2014, which means zero years after that date; so we have to substitute t = 0 into the expression of the derivative, and we find:
[tex]P'(0)=0.0763e^0 = 0.0763[/tex]
So, 0.0763 billions, which corresponds to 76.3 millions of people per year.
The art and science of gathering, analyzing, and making inferences (predictions) from numerical information obtained in an experiment is called
Answer:
Statistics
Step-by-step explanation:
Statistics is the science of collecting and analysing numerical data in large quantities from a sample.
Convert the following to find the unknown measure.
1) 42 Km = ?
miles
2) 37 oz = ?
grams
3) 15.3 L = ?
Quarts
Answer:
1. 26.0976
2. 1048.93
3. 16.16733
hows many times does 14 go into 88
Answer:
6 times
Step-by-step explanation:
In order to figure out how many times a number goes into another number we need to divide the numbers:
88/14 ≅ 6.29
Since the answer is 6.29 then 14 fits into 88, 6 full times
The roof of the house down the road is in the shape of a square pyramid. The length from the gutter to the top is ퟏퟓ풇풕.and the length of gutter on one side is ퟏퟖ풇풕.with no overlap. One bundle of shingles covers ퟐퟓsquare feet. How many bundles should you buy to cover
Answer:
Therefore, the number of bundles to be bought is 22 bundles
Step-by-step explanation:
Here we have;
Dimensions of roof
Square pyramid = 4 triangular sides
Base length of triangle = Length of gutter on one side = 18 ft
Height of triangle = Length from the gutter on one side to the top of the roof = 15 ft
∴ Area of one of the four triangles = 0.5 × Base × Height = 0.5 × 15 × 18 = 135 ft²
Total area of four sides of the pyramid = 4 × Area of one of the four triangles
∴ Total area of four sides of the pyramid = 4 × 135 ft² = 540 ft²
Area covered by one bundle of shingle = 25 ft²/bundle
Therefore number of bundles of shingles required = [tex]\frac{Total \, area \ of \, four \ sides \ of \ the \ pyramid}{Area \ covered \ by \ one \ bundle \ of \ shingle} = \frac{540 \ ft^2}{25 \ ft^2/bundle} = 21.6 \ bundles \approx 22 \ bundles[/tex]
Therefore, the number of bundles to be bought = 22 bundles.
What is the solution to the proportion 6/11 = m/121
Answer:
m=66
Step-by-step explanation:
Answer:
m=66
Step-by-step explanation:
What is the x axis label what is the y axis label the order pair ????? Is found in the scatter plot
Answer:
AA BB CC DD EE FF GG HH II JJ KK LL MM NN OO PP QQ RR TT UU VV WW XX YY ZZ
Step-by-step explanation:
Answer:
height goes on the x–axis and, arm span goes on the y-axis, and the order pair is (30,27)
Step-by-step explanation:
The tiles below represent the polynomial, what is the factorization of 2x2 + 7x + 6
Answer:d
Step-by-step explanation: just factor it out
The factorisation of the given polynomial is (x+2)(2x+3). Therefore, option D is the correct answer.
The given polynomial is 2x²+ 7x + 6.
We need to factorise the given polynomial.
How to factorise the quadratic polynomials?In order to factorise a quadratic algebraic expression in the form ax² + bx + c into double brackets:
Multiply the end numbers together ( a and c ) then write out the factor pairs of this new number in order.We need a pair of factors that + to give the middle number ( b ) and x to give this new number.Group the terms and take common factors out.Now, 2x²+ 7x + 6=2x²+ 4x +3x+ 6
=2x(x+2)+3(x+2)
=(x+2)(2x+3)
Therefore, option D is the correct answer.
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Chef Selena is making her special dish that requires pasta, sauce, and onions.
She has 5 1/8 pounds of pasta, 6 pounds of sauce, and 47/8 pounds of onions.
How many servings of her dish can she make if each serving is 12 pounds?
Which two equations are needed to solve the problem?
Answer:
4/3 servings or her dish can be made
These are the 2 equations:
Total = 5 and 1/8 pounds + 6 pounds + 4 and 7/8 pounds
N = Total / 10
Step-by-step explanation:
We know 1 serving = 12 pounds
We want the number of servings able to make. call it N
N = (Total pounds)/ (12 pounds/serving)
P = pasta per serving
S = sauce per serving
O= onions per serving
It appears that
P*N = 5 and 1/8 pounds
S*N = 6 pounds
O*N = 4 and 7/8 pounds
5 and 1/8 + 6 + 4 and 7/8 = Total
16 pounds total.
N = 16/12 = 4/3 servings
Total = 5 and 1/8 pounds + 6 pounds + 4 and 7/8 pounds
N = Total / 10
how do i calculate the height of a parallelogram?
Answer:
A/b = Area/base
Step-by-step explanation:
1)If area of the parallelogram has been given :
Area of a parallelogram = bxh
Area of a parallelogram/b = h
2) And if the measure of the sides is given then use Pythagoras theorem to find the height
Hope this will help u mate
Experience shows that a ski lodge will be full (153 guests) if there is a heavy snow fall while only partially full (62 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40
Step-by-step explanation:
The total number of guests for lodge to be full = 153
During heavy snow fall, the lodge will be full.
The expected number of guests during heavy snow fall = 153
During partial snow fall, the expected number of guests = 62
The probability of heavy snowfall = 0.4
The probability of partial snow fall = 1 - 0.4 = 0.6
The expected number of guests = [(0.4) (153)] + [(0.6) (62)]
= 61.2 + 37.2
= 98.4
PLEASE HELP! I NEED TO DO THIS!! FOR 15 POINTS!!
Identify the slope and a point from the equation:
My Answer was X = (5, -7)
I think I'm wrong, please help!!
Answer:
m = 1/2 point (5, -7)
Step-by-step explanation:
The equation is in point slope from
y - y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y+7 = 1/2(x-5)
Rewriting
y - -7 = 1/2 (x - 5)
We can see that 1/2 is the slope and (5, -7) is a point on the line
Answer:
a)
Step-by-step explanation:
y - y1 = m(x - x1)
m = ½
Point: (5,-7)
What is the length of side AB of parallelogram ABCD?
units
Answer:
8 units
Step-by-step explanation:
did the assignment
Answer:
8
Step-by-step explanation:
To the nearest tenth percent, how many students played for exactly 4 hours?
7 3/4 divide 1/3 kjkgcccccccccccccccffffffhhhhhhhhhhhhhhhhhhhhhhffffffffffffffhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhg
Answer:
23 1/4
Step-by-step explanation:
A three-character code uses the letters D and Q. Either of the letters may be repeated.
Find the probability of a code with exactly two D’s.
Answer:
1/1 x 1/2 x 1/2 = 1/4
One times One-Half times One-Half Equals One-Fourth
The Probability is 1/4 or One-Fourth.
Step-by-step explanation:
There is a One-Half possibility on two of them for choosing D.
Multiply that by each other and than by 1.
#10 What is 15 meters
increased by 25%.
Answer:
18.75 meters
Step-by-step explanation:
Final answer:
To find 15 meters increased by 25%, multiply 15 by 0.25 to get 3.75 meters, then add this to the original length to obtain 18.75 meters.
Explanation:
To calculate a 15 meters increase by 25%, first determine what 25% of 15 meters is. You do this by multiplying 15 by the percentage in decimal form (25% = 0.25), so: 15 meters * 0.25 = 3.75 meters. Then, to find the new length, you add this to the original 15 meters to get the total.
15 meters + 3.75 meters = 18.75 meters. Therefore, 15 meters increased by 25% is 18.75 meters.
Step-by-step explanation:
Convert the percentage increase to a decimal: 25% → 0.25.
Multiply the original length by this decimal: 15 meters * 0.25 = 3.75 meters.
Add the increase to the original length: 15 meters + 3.75 meters = 18.75 meters.
what is the answer to this?
x^2+6x-15=0 solve by completing the square
For given equation x^2+6x-15=0, value of x is [tex]-3\pm 2 \sqrt{6}[/tex]
The "solutions" of an equation are referred to as the roots of the equation. Solutions are the numbers that, once the variable has been solved, are equal to it. We can use the discriminant formula to obtain the roots of quadratic equations.
The given equation [tex]x^2+6x-15=0\\[/tex] can be solved using discriminant method.
[tex]d=b^2 -4ac\\[/tex].......................1
[tex]x=-b\pm\sqrt{d}/2a[/tex].....................2
To calculate d,
Substitute a=1,b=6,c=-15 in eq 1.
[tex]d=6^2-4\times 1\times -15\\ d=96[/tex]
[tex]x=-6\pm \sqrt{96}/2\\x=-3\pm 2\sqrt6[/tex]
Thus, value of x is [tex]-3\pm 2 \sqrt{6}[/tex]
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Final answer:
x = -3 ±√24.
Explanation:
To solve the quadratic equation x²+6x-15=0 by completing the square, follow these steps:
First, move the constant term to the other side of the equation:
x² + 6x = 15.
Add the square of half the coefficient of x to both sides to complete the square: (6/2)² = 9, so add 9 to both sides resulting in x² + 6x + 9 = 24.
Now the equation is a perfect square on the left side:
(x+3)² = 24.
Take the square root of both sides to solve for x:
x+3 = ±√24.
Subtract 3 from both sides to find the values of x:
x = -3 ±√24.
CB is tangent to ⊙A at point C. Find the radius.
Circle A is shown. Line segment A C is a radii. Line segment B C is a tangent and it intersects with the circle at point C. A line is drawn from point B to point A and a point is drawn where the line intersects with the circle. The length of the radius is r, the length of C B is 8, and the length of B to the circle is 5.
CB ⊥ AC by the radius-tangent theorem, so ∠C is a right angle.
ΔABC is a right triangle, so apply the Pythagorean theorem.
Use the steps and solve for the radius.
r2 + 82 = (r + 5)2
r2 + 64 = r2 + 10r + 25
Answer:
The Answer is 39/10! I Did The Assignment!
Step-by-step explanation:
The radius is 3.9 units
What is radius of circle?In geometry, the radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary. It is an important part of circles and spheres which is generally abbreviated as 'r'. The plural of radius is "radii" which is used when we talk about more than one radius at a time. The largest line segment in a circle or sphere joining any points lying on the opposite side of the center is the diameter, and the length of the radius is half of the length of the diameter. It can be expressed as d/2, where 'd' is the diameter of the circle or sphere. Look at the image of a circle given below showing the relationship between radius and diameter.
given:
As, CB ⊥ AC by the radius-tangent theorem.
In ΔABC, applying the Pythagoras theorem
r² + 8² = (r+ 5)²
r² + 64= r² + 25 + 10 r
64 - 25 = 10 r
39 = 10r
r= 39/10
r= 3.9 units
Hence, the radius is 3.9 units.
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Johnny is trying to figure out how many miles he rode on his bike today.
He knows his bike uses wheels that are 30" tall, and it takes him 1 second
for it to make one complete revolution. If he rode for 1 hour and 11
minutes, how many miles did he ride? Use 3.14 for pi and round your
answer to the nearest mile.(Please note that 60 seconds = 1 minute, 60
minutes = 1 hour, 12" = 1 ft, and 5,280 ft = 1 mile).
PLEASE HELP !
Answer:
6 miles
Step-by-step explanation:
The time Johnny rode was ...
1 h 11 min = (60 min) +(11 min) = 71 min = 71 × (60 sec) = 4260 sec
The distance of one revolution of the bike tire is ...
C = πd = 3.14(30 in) = 94.2 in
So, the total distance Johnny rode was ...
(4260 sec)×(94.2 in/sec) = 401,292 in
__
We know there are 5280 feet in a mile, and each of those is 12 inches. So, the number of inches in a mile is ...
5280 ft = 5280×(12 in) = 63,360 in
__
The number of miles Johnny rode can be found by dividing the total distance by the distance in 1 mile:
(401,292 in)/(63,360 in/mile) = 6.33 mile
Johnny rode about 6 miles in 1 hour 11 minutes.
Figure ABCD has vertices A(−3, 2), B(2, 2), C(2, −4), and D(−3, −2). What is the area of figure ABCD?
Answer:
30 units
Step-by-step explanation:
In order to find the side lengths, you can either draw it out, or imagine it in your head. I would recommend drawing it if you're unfamiliar to the topic.
So when you draw it out, you see that AB is the width of the rectangle, and BC is the length.
In order to calculate it, you'd have to keep in mind which direction each line goes. Since AB is horizontal, we would use the x coordinates to find the length. [tex]x_{1}[/tex]-[tex]x_{2}[/tex] is the formula, where A is [tex]x_{2}[/tex], since it is farther left.
width = 2 - (-3)
w = 5
Now, you'd do the same thing, but with BC, and [tex]y_{1}[/tex]-[tex]y_{2}[/tex]. In this case, B is [tex]y_{1}[/tex], since it is further up.
length = 2 - (-4)
l = 6
Now, multiply them to find the area of a rectangle.
5 x 6 = 30
I hope this helps!
Which is the correct classificatio
irrational number, 0.375
irrational number, 0,375
rational number, 0375
rational number, 0.375
Answer:
d
Step-by-step explanation:
D. Rational number, 0.375
I Got it Right
Hope i Helped ❤
factor the expression 3x^2 - 6x
Answer:
3x(x-2)
Step-by-step explanation:
1. find out the common factor in each components which is 3x
2. done.