The probability that in a given year it will not snow on January 1st will be P = 0.915.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Since the total probability is always equal to 1 if the probability of happening of an event is given then the probability of not happening of an event will be determined by subtracting it from one.
The probability of not any snowfall will be calculated as:-
P = 1 - 0.315
P = 0.615
Therefore the probability that in a given year it will not snow on January 1st will be P = 0.915.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ1
if 2sin theta+1=0 and 90°270° calculate a) 4cos²theta. b) 81tan²theta
Answer:
A) [tex]4\cos^2\theta=3[/tex]
B) [tex]81\tan^2\theta=27[/tex]
Step-by-step explanation:
[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]
[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]
[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]
A square has an area of [tex]18x^{2}[/tex] what is the length of one of its sides
Answer:
≈4.24x
Step-by-step explanation:
[tex]\sqrt{18} = 4.24[/tex]
Have a nice day! :)
Answer:
18x
Step-by-step explanation:
because itś squared, and the area of a square is always squared, its 18x
If you roll two fair six sided dice, what is the probability that the sum is 5 or lower
Answer: P(sum is 5 or lower) = 10/36 (not simplified) = 5/18 (simplified)
Step-by-step explanation: The event is {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)}
Shannon has a collection of sports cards. Last month, she had 50 sports cards. Since last month, her collection has decreased by 46%. How many sports cards does Shannon have now?
Which is the simplified form of m^-8p^0
Answer: Heyaa!! ~
Your Answer is... 1/m^8 which is the b or the second answer!
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you!
-Matthew ^^
How do I find x and y
Answer:
Y is on the top
X is on the bottem
Step-by-step explanation:
Help asap please :)))
Answer:
it will be figure 3
Step-by-step explanation:
it is the odd one of them, with inner concave
Hello I need help with this math question
Answer:
c obtuse angle
Step-by-step explanation:
Answer: C, Obtuse Angle
Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.
An acute angle is an angle with LESS than 90 degrees, which is also incorrect.
An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.
A straight angle is just a straight line, which this angle is not.
Please help.... this is confusing me:0
Answer:
See below
Step-by-step explanation:
IN a right triangle , remember S-O-H-C-A-H-T-O-A <===memorize this!
sin z = O/H = opposite side/hypotenuse = 16/20
cos z = A/H = adjacent / hy[potenuse = 12/20
tan z = O/A = 16/12
Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answer:
Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.
General Formulas and Concepts:
Algebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify given variables.
P = $47,323.15
r = 0.05
n = 1
t = 3
Step 2: Find Interest
[Compounded Interest Rate Formula] Substitute in variables:∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.
---
Learn more about Algebra I: https://brainly.com/question/27710663
---
Topic: Algebra I
Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Birt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Birt to count the coins in the bag alone?
Goblin Birt can take 15 minutes to count the coins in the bag by himself.
What is the unitary method?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how long would it take goblin Birt to count the coins in the bag by himself?
In this problem, the unitary method is to be applied three times.
Here, counting all the coins is considered as the entire work which is considered as 1.
According to the problem,
Goblin guys can count the coins in a bag in 10 minutes.
In 10 minutes Goblin guys can count the coins in the bag.
In 1-minute Goblin, guys can count th part of the coins in the bag.
Again, according to the problem,
Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.
In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag
In 1 minute, Goblin gryh and goblin Birt both can count th part of the coins in the bag.
In 1 minute, Goblin Birt can count ([tex]\dfrac{1}{6}-\dfrac{1}{10}[/tex] th part of the coins in the bag.
[tex]= (\dfrac{5-3}{30})=\dfrac{1}{15}[/tex] th part of the coins.
We can say, Goblin Birt, can count 1 / 15 th part of the coins in the bag in 1 minute. Goblin Birt himself can count all the coins in the bag in 15 minutes.
To know more about the unitary method here:
brainly.com/question/24587372
#SPJ1
I NEED EMERGENCY HELP HELP HELP HELPI WILL MARKKK YOU BRAINLIST
Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
Janelle has one dime and several nickels in her coin purse. The table below describes the relationship between the number of nickels, n, and the total value of the coins in her coin
purse in cents, c
If Janelle has 8 nickels in her coin purso, what is the total value of the coins?
52 cents
50 cents
48 cents
46 cents
Answer:
Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.
Step-by-step explanation:
9.Find the value of x.
Work too please
Answer: 1
Step-by-step explanation:
Sam wants to surround his garden with fencing. He is using a drawing with a scale factor of 4 feet for every 1 inch.
2 in
4 in
Select the exact amount of fencing, in feet, Sam will need to surround the garden.
10 feet
© 16 feet
© 24 feet
48 feet
Answer:
C. 24
Step-by-step explanation:
Help me on this math problem please!! DUE TONIGHT!! Write an equation!
Answer:
(3x+8)°+(x+4)° = 180,
x=42
Step-by-step explanation:
They are linear pairs, so the two angles are supplementary or add up to 180°.
1. Format the equation (3x+8)°+(x+4)° = 180
2. Simplify like terms 4x + 12 = 180
3. Subtract 12 on both sides, 4x=168
4. Divide 4 on both sides, x=42
5. Answer is x=42
The fifth-grade classes at Martinez
Elementary School are going to take
a short tethered ride in a hot-air
balloon. The balloon can hold three
students at a time. If there are one
hundred twenty-six students in the
fifth grade, how many rides will have
to be taken in order for every student
to have a turn?
The area of a parallelogram is 914, and the lengths of its sides are 41 and 26. determine, to the nearest tenth of a degree, the measure of the obtuse angle of the parallelogram.
Answer: 121.0
Step-by-step explanation:
Mrs. culland is finding the center of a circle whose equation is x2 y2 6x 4y – 3 = 0 by completing the square. her work is shown. x2 y2 6x 4y – 3 = 0 x2 6x y2 4y – 3 = 0 (x2 6x) (y2 4y) = 3 (x2 6x 9) (y2 4y 4) = 3 9 4 which completes the work correctly? (x – 3)2 (y – 2)2 = 42, so the center is (3, 2). (x 3)2 (y 2)2 = 42, so the center is (3, 2). (x – 3)2 (y – 2)2 = 42, so the center is (–3, –2). (x 3)2 (y 2)2 = 42, so the center is (–3, –2).
By completing squares, we will see that the center of the given circle is at (-3, -2).
How to find the center of the circle?
The general circle equation centered on (a, b) of radius R is:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
In this case, our equation is:
[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]
First, we need to complete squares, we will have:
[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]
Then, by looking at the left side, we can see that the center of the circle is (-3, -2).
If you want to learn more about circles:
https://brainly.com/question/1559324
#SPJ5
Answer:
d
Step-by-step explanation:
got it right on edge
vertex represents a maximum or minimum point for the function. Explain your
answer.
b. Rewrite f(x) in vertex form by completing the square.
2. A cannonball is shot from the top of an ocean cliff as shown. The height (in meters) of the cannonball above th
water is given by h(t) = -5t2 + 15t + 8, where t is the number of seconds after the shot. Determine
whether each statement is true according to the graph. Select True or False for each statement.
Statement
True
Fal
The cannon is 8 meters above the water.
The cannonball reaches its maximum height at 1.5
seconds after it is shot.
The cannonball hits the water 8 seconds after it is
shot.
Answer:
the vertex represents a maximum
Vertex is (4,7)
f(x)=-(x-4)^2+7
Step-by-step explanation:
Given the function [tex]f(x)=-x^2+8x+9[/tex]
Equation is in the form of y=ax^2+bx+c
[tex]a=-1[/tex]
When 'a' is negative, then vertex is maximum
when 'a' is positive, then vertex is minimum
[tex]a=-1[/tex] is negative, so the vertex represents a maximum
[tex]f(x)=-x^2+8x+9[/tex], factor out negative
Take out negative sign in common
If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probability of getting:
A) fewer than 3 sixes
B) at least 1 six
Answer:
A) 99.5%
B) 42.1%
Step-by-step explanation:
A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%
B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%
A study of the annual population of bees in a county park shows the population, B(t),
is declining due to pesticide usage and can be represented by the function
B(t) = 1872(.83)*, where the t represents the number of years since the study
started. Based on the function, what is the percent the bees population declines by each
year?
Answer:
yor mom
Step-by-step explanation:
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The decline rate will be calculated as below:-
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
From the function :
b = 0.83
The decline rate will be calculated as,
Decline rate = 1 - 0.83 = 0.17 x 100 = 17%
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
Find out more on the equation at:
brainly.com/question/2972832
#SPJ5
Evaluate for f(-2)
F(x) = x2 - 4
Answer:
f(-2) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
f(x) = x² - 4
Step 2: Find f(-2)
[Function] Substitute in x:∴ the function when x = -2 is equal to 0.
---
Learn more about Algebra I: https://brainly.com/question/15995023
---
Topic: Algebra I
The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours. a. What is the probability that a randomly selected student studies more than 27 hours per week
The probability that a randomly selected student studies more than 27 hours per week is 0.0014.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of a population
N = number of observations of population
X = mean
μ = population mean
The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.
So, μ = 25
σ = 2.5 hours.
[tex]P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\[/tex]
= P (z > 1.2)
= 1 - P (z < 1.2)
= 0.0014
Learn more about standard deviation:
https://brainly.com/question/11448982
#SPJ1
Graph the inequality.
0 < y + 4x <6
After I graphed it gave me - y>−4x
- Appreciate if you rate.
Given h(x) = 3(2 – X),
what is the value of
h(-4)?
4.-6
B. 10
C.2
D.18
Answer:
D
Step-by-step explanation:
substitute x = - 4 into h(x)
h(- 4) = 3(2 - (- 4) ) = 3(2 + 4) = 3 × 6 = 18
what is the range of this function?
Answer:
B.
Step-by-step explanation:
The range is all real numbers
It will indefinitely go up and indefinitely go down
Which is an example of a living expense?
O A. A concert ticket
O B. A subway pass
O C. A streaming service
O D. A newspaper subscription
A water bottle holds 7/8 of a gallon of water. There are 5 1/4 gallons of water in a water tank. How many water bottles can be filled with the water in the tank?
Answer:
6 water bottles
Can someone help me with this problem? Thank you!
Answer:
Perimeter = 61 7/20
Step-by-step explanation:
Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.