Answer:
to convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) : x = r × cos( θ ) y = r × sin( θ )
Step-by-step explanation:
If Colorado spring, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does each city have if there are a total of 464 days of sunshine between the two in a year? ( Round your answer to the nearest day.)
Boston has 211 days of sunshine and Colorado Springs has 253 days of sunshine.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us consider x to represent the number of days of sunshine in Boston.
We know that Colorado Springs has 1.2 times as many days of sunshine as Boston.
The total number of days of sunshine between the two cities is 464.
Set up an equation to solve x.
x + 1.2x = 464
Simplifying and solving for x, we get:
2.2x = 464
x = 211. So Boston has 211 days of sunshine.
The number of days of sunshine in Colorado Springs, we can multiply by 1.2:
1.2x = 1.2(211) = 253.2
So Colorado Springs has 253 days of sunshine.
Therefore, Boston has 211 days of sunshine and Colorado Springs has 253 days of sunshine.
To learn more on Equation:
https://brainly.com/question/10413253
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The sum of the measures of angle M and angle R is 90°
The measure of angle M is (5x + 10)°
The measure of angle R is 55°
What IS the value of x?
Answer:
M+R=90 (Given)
(5x+10)+55=90 (given)
5x+10=90-55
5x+10=35
5x=35-10
5x=25
5x÷5=25÷5 (divide both sides by 5)
x=5
What is the area of the triangle?
Answer:
16 units²
Step-by-step explanation:
Area of the right triangle = ½ × base × height
base = 8
height = 4
Substitute
Area = ½ × 8 × 4
Area = ½ × 32
Area = 16 units²
Help please with step by step
Answer:
47.1
Step-by-step explanation:
tan 61 = FD/24
FD = 43 3
cos 19 = 43.3/FE
FE = 43.3/cos 19 = 47.1
. A nationwide survey of college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking, according to a report in Parade. Suppose 12 seniors are selected at random and asked their opinion. Our goal is to investigate the number of pot smokers. (a) Verify that this is an example of a binomial experiment. (b) What is the probability that exactly one of the 12 seniors disapproves daily pot smoking
Answer:
a) Trials are independent, and there is a fixed number of trials, which means that the binomial probability distribution can be used.
b) 0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a)
For each senior, there are only two possible outcomes. Either they disapprove daily pot smoking, or they do not. The seniors are selected at random, which means that the probability of one disapproving daily pot smoking is independent of other seniors, that is, the trials are independent. There is also a fixed number of trials.
b)
70% disapprove of daily pot smoking, according to a report in Parade, which means that [tex]p = 0.7[/tex]
12 seniors means that [tex]n = 12[/tex]
The probability is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{12,1}.(0.7)^{1}.(0.3)^{11} = 0.000015[/tex]
0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking
Fill in the blank.
(x+a) (x+b) = (___) (___)
Answer:
(x+a) (x+b)=x(x+b)+a(x+b)=x²+bx+ax+ab=x²+x(a+b)+ab
Step-by-step explanation:
solution
here, given,
(x+a) (x+b)
= x(x+b) +a(x+b)
=x^2+xb+ax+ab ans
hope this helps u..
Francesca plays a bass drum. After measuring it, she calculates that it has a circumference of 81.64 centimeters. What is the drum's area?
Use 3.14 for .
1. The Registrars office would like to estimate the average commute time and determine a 95% confidence interval for the average commute time of evening University of Pittsburgh students from their usual initial starting point to campus. A member of the staff randomly chooses a parking lot and selects the first 100 evening students who park in the chosen lot starting at 5:00 PM. The confidence interval is: a. Not meaningful because of the lack of random sampling. b. Meaningful because the sample size exceeds 30 and the central limit theorem ensures normality of the sampling distribution of the sample mean. c. Not meaningful because the sampling distribution of the sample mean is probably not normal. d. Meaningful because the sample is representative of the population.
Answer:
b. Meaningful because the sample size exceeds 30 and the central limit theorem ensures normality of the sampling distribution of the sample mean.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Sample of 100, which means that the central limit theorem applies, no matter the distribution of the population. So the correct answer is given by option b.
2 ⅔ - 1 ¾
please explain how you got the answer!
Answer:
2 2/3 - 1 3/4 = 11/12
Step-by-step explanation:
You could convert them both to improper fractions then you would make them have common denominators so the least common denominator for the would be 12 so you would multiply them and then you would subtract them to get your answer of 11/12.
2 2/3 = 8/3 times 4 = 32/12
1 3/4 = 7/4 times 3 = 21/12
32/12 - 21/12 = 11/12
write the expression in the form of y'n
Answer:
y²/⁵
Step-by-step explanation:
From the question given above, we obtained the following:
³√(y²÷y⁴/⁵)
We can simplify the above expression as follow:
³√(y²÷y⁴/⁵)
Recall
Mˣ ÷ ʸ = Mˣ ¯ ʸ
Thus,
³√(y²÷y⁴/⁵) = ³√(y² ¯ ⁴/⁵)
³√(y²÷y⁴/⁵) = ³√(y⁶/⁵)
Recall:
ⁿ√M = M¹/ⁿ
Thus,
³√(y⁶/⁵) = (y⁶/⁵)¹/³
³√(y⁶/⁵) = y²/⁵
Therefore,
³√(y²÷y⁴/⁵) = y²/⁵
What is the constant of proportionality (unit rate) in the equation
y
=
4.75
x
y=4.75x?
Answer:
y=4x=0
Step-by-step explanation:
0.75x=4.75x y = 4
0.75x=4.75x
Which line coincides with the line 2y + 3x = 4?
Answer:
4
Step-by-step explanation:
This is about the cone formula. If you don't know it, please don't answer. If you do, PLEASE ANSWER.
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
A rectangular swimming pool is twice as long as it is wide. A paved border is 4 feet wide along the two longer sides and one of the shorter sides, and 8 feet wide along the other shorter side. The border and the pool have a combined area of 2046 square feet.
Let x represent the length of the shorter side of the swimming pool. Write an equation in standard form for the combined area of the pool and border in terms of x.
BONUS: Find the length and width of the swimming pool. To receive any credit for your answer factoring must be shown.
Answer:
Working on it now
Step-by-step explanation:
Answer: It's probodly 3000
Step-by-step explanation:
Seventy homes that were for sale in Tampa, Florida in Spring of 2019 were randomly selected. A regression model to predict house price was run based on first floor square footage and the indicator variable for Beach (1 if the house was within 1 mile of the beach, 0 if not). There was also an interaction term for firstfloorsquarefootage*Beach.
Term Estimate Std. Error
Intercept -93.4 214.5
Beach 782.5 31.45
firstfloorsquarefootage 0.412 0.120
firstfloorsquarefootage*Beach 0.004 0.012
How would you interpret the slope coefficient for firstfloorsquarefootage*Beach?
A. Homes near the Beach are less expensive than elsewhere for a given size.
B. The slope of the relationship between firstfloorsquarefootage and price is lesssteep for homes near the beach than elsewhere in Tampa
C. Homes near the Beach are more expensive than elsewhere for a given size.
D. The slope of the relationship between firstfloorsquarefootage and price is moresteep for homes near the beach than elsewhere in Tampa
Answer:
D.The slope of the relationship between first floor square footage and price is more steep for homes near the beach than elsewhere in Tampa
Step-by-step explanation:
We can see from the output that was run in this regression that this variable has a positive coefficient. So the result is going to be interpreted to show an increase. Therefore d is the answer as it shows that these homes which are closer to the beach are steeper compared to those that are in other areas of tampa. It's necessary to always look out for the signs of the coefficient when interpreting a regression result
X + (x+1) + (x+2) = -21
Answer:
x= - 8
Step-by-step explanation: Are you solving for X if so here is the answer
A man earns 5000 for 10 days work.how should he earn in 14,if working at the same rate
Answer:
7000
Step-by-step explanation:
You can solve this question with proportions as shown:
[tex]\frac{10D}{5000}[/tex]=[tex]\frac{14D}{X}[/tex]
Now cross multiply.
10DX=14D*5000
Simplify.
X=7000
That would mean he earns 7000 in 14 days.
examine the wintegraph of monear function
2.0
--
What is the average of charge over the intervall <3 32
Enter your answer as me like this: 42
Answer:
[tex]Rate = 3[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Average rate of change over [tex]1 \le x \le 3[/tex]
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex][a,b] = [1,3][/tex]
[tex][f(a),f(b)] = [-2.4][/tex]
So, we have:
[tex]Rate = \frac{4 - (-2)}{3 - 1}[/tex]
[tex]Rate = \frac{6}{2}[/tex]
[tex]Rate = 3[/tex]
Convert 18 cups into quarts.
Answer:
4.5 quarts, because one cup is 0.25 quarts
Step-by-step explanation:
1 7/8 * 3 in a fraction form
Tarik turns in his third research report.
His teacher says that 20% of his reports for the
year are done. How many research reports will
Tarik complete during the school year?
Show your work.
Use the pic for the info
Answer:
5.5
Step-by-step explanation:
What is the area of the triangle?
7 in 2
12 in 2
14 in 2
6 in 2
Answer: 6 in 2
Step-by-step explanation:
What is the value of x in the figure above?
What is Y?
What is the value of z?
What 2 methods can be used to find Z?
Answer:
y=92
z=57
TWO METHODS:
1) z=180-31-92 (small triangle)
2) z=180-60-63 (big triangle)
Step-by-step explanation:
63+29+x=180
x=180-92
x=88
y=180-88
y=92
z=180-31-92
z=57
How should the decimal point in 34.62 change to get the correct answer to 34.62 ÷ 10³?
A. 2 places to the right
B. 2 places to the left
C. 3 places to the right
D. 3 places to the left
Answer:
the answer is D
Answer:
D.3 places to the left
Step-by-step explanation:
Which points would be located on the line?
Answer: (0,8), (1,4),
Step-by-step explanation:
those are the only points that the line goes over that are exact points on the graph
[tex]2 \div t {}^{2} - 16[/tex]
find the range
HELP FAST
what is the value of j?
Answer:
beetle juice
Step-by-step explanation:
what is the answer in multiplying the first operation in 3+(8×2)÷1?
a.3
b.4
c.9
d.16
Answer:
d.16
Step-by-step explanation:
(2*8)=16
Use Pemdas;
Parenthesis
Exponents
Multiplication
Division
addison
Subtraction
What’s the value ? Please help