Answer:
1 / 64
Step-by-step explanation:
The probability of a multi-stage events that are independent is the product of all of them. Probability is basically the desirable outcomes over the total outcomes. When rolling a die, there are 6 different numbers you can roll, meaning six different outcomes. There are 3 outcomes where you can roll an even number: 2, 4, and 6. And it's the same with odd numbers: 1, 3, and 5. So the probability of rolling an even number is 3 / 6 or 1 / 2 and the probability of an odd number is the same, 1 / 2. Now, since the probabilities are the same at each stage, we can multiply 1 / 2 to itself 6 times or (1/2)^6 which evaluates to 1 / 64.
The following measurements (in picocuries per liter) were recorded by a set of carbon dioxide detectors installed in a manufacturing facility: 799.2,784.3,803.8,806.8,780.5,794.8 Using these measurements, construct a 95% confidence interval for the mean level of carbon dioxide present in the facility. Assume the population is approximately normal. Step 3 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
(783.806 ; 805.994)
Step-by-step explanation:
Given the sample :
X : 799.2,784.3,803.8,806.8,780.5,794.8
Sample size, n = 6
Sample mean, xbar = Σx / n = 794.9
Sample standard deviation, s = 10.574 ( calculator)
Tcritical at 95%, df = 6 - 1 = 5 equals 2.57
Confidence interval :
Xbar ± standard error
Standard Error = Tcritical * s/√n
Standard error = 2.57 * 10.574/√6 = 11.094
Lower boundary = (794.9 - 11.094) = 783.806
Upper boundary = (794.9 + 11.094) = 805.994
(783.806 ; 805.994)
Which statement correctly uses limits to determine a vertical asymptote of GX
Answer:
hope this helps
Step-by-step explanation:
The length of a rectangle is 5 more than the width. The area is 500 square feet. Find the length and width of the rectangle.
Answer:
length = 25ft, width = 20ft
Step-by-step explanation:
Let x= width, so length = x+5
Area = l x w so A = x(x+5)
Since the area is given as 500 sqft, your equation is x(x+5)=500.
Although the numbers are easy enough to factor in your head, mathematically the equation can be solved as a quadratic, as follows:
x^2 + 5x -500 = 0
Using either factoring or quadratic formula, x = 20 (the other value is negative). Therefore the width is 20ft and the length is 25ft.
Devin has a rectangular vegetable garden. He planted tomatoes in section of the garden with an area of 6 square yards. There were 30 square yards remaining for Devin to plant zucchini. Let g represent the total area of the garden. Which equation models the problem? Solve the equation to find the total area of the garden. g =
Answer:
g=30y^2+6y^2
Step-by-step explanation:
30 years left after six were taken
Solve the inequality:
2x + 3 > -11
Answer:
x > − 7
Step-by-step explanation:
hope this helps
3. Suppose that a parabola has
x-intercepts (-3,0) and (2,0) and goes
through the point (-1,12). Which
quadratic function represents the parabola
in factored form?
A
y=-(2 - 3)(x + 2)
B
y= -2(x − 3)(x + 2)
Y= -2(x+3)(2 – 2)
D.
y= (2 + 1)(x - 2)
Answer:
C. I used to not get this but now I do. hope I helped
[3+2 +5= 10 marks]
a) A and B are two given point whose co-ordinates are (-5, 3) and (2, 4) respectively. A
point P moves in such a manner that PA: PB = 3:2. Find the equation to the locus
traced out by P. what curve does it represent?
Answer:
Step-by-step explanation:
Identify like Terms
8x2 yx3 9x2 y2 5y
what is the answer to my math problem. Evaluate 32^1/5
the answer is 2
Solution:
32⅕
(2⁵)⅕
Answer is 2
What is the dropdown to complete the following inequality?
Answer:
1 - a > 0
Pls mark me brainliest :))
I did it right on khan so believe me
check screen shot pls
Answer:
The last choice
Step-by-step explanation:
Suppose that the middle 68% of speeding ticket fines on a highway fall between 93.18 and 118. Give an approximate estimate of the standard deviation of the speeding ticket fines. Assume the fine amount has a normal distribution
Answer:
The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Middle 68% of speeding ticket fines on a highway fall between 93.18 and 118.
This means that 93.18 is one standard deviation below the mean and 118 is one standard deviation above the mean. That is, the difference between 118 and 93.18 is worth two standard deviations. So
[tex]2s = 118 - 93.18[/tex]
[tex]s = \frac{(118 - 93.18)}{2}[/tex]
[tex]s = 12.41[/tex]
The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
18
Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
. and the number of students who got a grade higher than
84% is about
Reset
Next
Answer: 100
5
Step-by-step explanation:
a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...
... 100 students will have grades above 70%.
b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.
... about 5 students will have grades above 84%.
What is the length of the unknown side? Hint: Pythagorean
Theorem.
Answer:
5
Step-by-step explanation:
The Pythagorean theorem is: a^2 + b^2 = c^2
The hypotenuse (the diagonal line) is c, while the base and side are a and b.
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
the square root of 25 is 5, so c would be 5
Answer: 5
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Side A: 4
Side B: 3
Side C/ Hypotenuse: ?
1) Form equation...
4² + 3² = c²
2) Simplify and Solve...
16 + 9 = c²
c² = 25
3) Now find the square root of 25 which is c (your answer)
[tex]\sqrt{25} = 5[/tex]
A man had 15 crates of apples. Each crate had the same number of apples. He sold 70 apples on Monday and twice as many apples on Tuesday. He had 90 apples left. How many apples were there in each crate at first?
Answer:
=20 apples
Step-by-step explanation:
90+70+140=300
300 crates in total
300÷15=20
The measure of PQR is 90°. Find the value of x.
Jada has d dimes she has more that 30 cents but less than a dollar can d be 10
Answer:
no
Step-by-step explanation:
30 cents < 10 cents/dime × d dimes < 1 dollar × 100 cents/dollar
if d = 10
30 cents < 10 cents/dime × 10 dime < 1 dollar × 100 cents/dollar
30 cents < 10 cents/dime × 10 dime < 1 dollar × 100 cents/dollar
notice how the units bolded all cancel out, just leaving cents
30 cents < 100 cents is NOT < 100 cents
Solve 2(x + 4) + 8x = 14
Solve the equation r - 14 = 10
6. Solve the equation m x -8 = 64
7. 3² + 1( 3³ ÷ 3)
8. What is the difference between Expression and Equation? Give example for each.
Answer:
5.)
r - 14 = 10
r = 10 + 14
r = 24
6.)
x - 8 = 64
x = 64 + 8
x = 72
7.)
3² + 1( 3³ ÷ 3)
9 + 1( 9 ÷ 3)
9 + 1(3)
9 + 3 = 12
8.)
Expression:
An expression is a number, a variable, or acombination of numbers.
e.g. 10x + 63 and 5x - 3
Equation:
An equation is made up of two expressions connected by anequal sign.
e.g. ax² + bx + c = 0
-TheUnknownScientist
There are 24 students in a class.3/4 of them are wearing purple, and 1/2 of those students are wearing cow noses.What fraction of the class is wearing purple and cow noses
Answer:
3/4x1/2=3/8
Step-by-step explanation:
multiply the fractions
Explain the relationship between the linear scale factor of two similar objects and the area ratio of the two objects?
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
The Economy Repair Shop charges a $50 fee plus $30 an hour for labor. Jeff's Repair Shop charges $35 an hour. Which inequality can be used to determine the number of hours of labor that would make Economy Repair Shop's charges less than Jeff's Repair Shop's charges?
A. 50+30x<35x
B. 50+30x>35x
C.50x+30<35x
D.50x-30<35x
Answer:
Step-by-step explanation:
Layla is making pizza for a pizza party each pizza requires 1/8 pound of cheese how many pounds of cheese does she need to make 10 pizzas express your answer in simplest form
10/80 pounds of cheese
1/8×10=10/80
What equation can I use to solve for x?
What equation can I use to solve for y?
Answer:
125+9x-8=180
6x+13+6y+29=180
Step-by-step explanation:
(I’ll give points + brainalist for the correct answer with an explanation)
Answer:
b
Step-by-step explanation:
divide 1/4 by 20
Kevin can fill the bathtub with 16 gallons of water. He has 130 pints of water. Does he have enough water to fill the tub?
Answer:
YES he can fill the tub with 16 gallonsStep-by-step explanation:
Hope it helps you correct me if i am wrongThe cost, c(x), for a taxi ride is given by c(x) = 2x + 2.00, where x is the number of minutes.
On a piece of paper, graph c(x) = 2x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels.
Answer:200
Step-by-step explanation:is the answer
62. AAA+AA+A= 246 => A= ?
A.1 B.4 C. 2 D.5 E. 8
Answer:
C. 2
Step-by-step explanation:
222 + 22 + 2 = 246
So A = 2
someone help me with this.
Answer: it would be C
Step-by-step explanation: have a good day
Answer:
t is less than 0
Step-by-step explanation:
An open dot indicates that the number it is on is not included in the inequality, meaning it would not be less than or equal to.
c=4x +5y make x the subject of the formula
Answer:
c=4x+5y
c-5y=4x
x=[c-5y]/4 is your formula.