Answer:
1728
Step-by-step explanation:
if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.
Vito Corleone has planned a grand outdoor summer wedding for his daughter in New York City. In the past couple of years, it has rained only 25 days out of the 92 days of summer. Unfortunately for Vito, the local meteorologist has predicted that it will rain on the day of the wedding. On a typical summer day: given it rains, the meteorologist predicted that it will rain correctly) 80% of the time On the other hand, given it did not rain, the meteorologist predicted it will rain (incorrectly 20% of the time.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Answer:
a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
80% of 25/92(prediction of rain, and rained).
20% of 67/92(prediction of rain, did not rain). So
[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Conditional Probability, in which:
Event A: prediction of rain
Event B: rain
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]
Rain and prediction of rain:
80% of 25/92. So
[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]
0.5989 = 59.89% probability that it actually rains on the day of the wedding
What is the area of this figure
Proportions to Solve Problems - Item 3335
In a box of 36 pencils, 20 are sharpened.
What is the ratio of sharpened pencils to unsharpened pencils?
Answer:
20:16
Step-by-step explanation:
Subtract the number of sharpened pencils you have from the total number and you have your ratio.
If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change
Answer:
The temperature went up by 29 degrees.
Step-by-step explanation:
Since -24 is negative,
Add 5 to 24 = 29.
given the qintic equation below, solve it to find the values of x. 2x^5_6x^3_4x^2_2x+4 =0
9514 1404 393
Answer:
x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}
Step-by-step explanation:
I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...
2x^5 -6x^3 -4x^2 -2x +4 = 0
2(x -2)(x^4 +2x^3 +x^2 -1) = 0
We can recognize that the quartic factor is actually the difference of two squares:
x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0
So it resolves to two quadratic factors.
(x^2 +x +1)(x^2 +x -1) = 0
One will have real roots, as shown by the graph. The other will have complex roots.
x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots
(x +1/2)^2 = 5/4
x = -1/2 ± √(5/4) . . . . . . irrational real roots
__
x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots
(x +1/2)^2 = -1 +1/4 . . . complete the square
x = -1/2 ± i√(3/4) . . . . irrational complex roots
__
In summary, the values of x that satisfy the equation are ...
x = 2
x = -1/2 ± √(5/4)
x = -1/2 ± i√(3/4)
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12:00 pm the temperature rose 6
degrees Fahrenheit, what is the temperature at
12:00 pm in degrees?
Answer:
17 degrees
Step-by-step explanation:
-23 + 6 = 17
A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?
Answer:
6 square feet
Step-by-step explanation:
Area = L * w
26 = L * 4 1/3
26 = L * 13/3
L = 26 divided by 13/3
L = 26 * 3/13 = 6
answer = 6
Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning
Answer:
sdfsefsesfsfsefsefsefsefsfsefesef
Step-by-step explanation:
Does the mapping diagram represent a function? Why or why not?
х
y
-6
10
2
Answer:
use mathwy
Step-by-step explanation:
its better for a. expansion
Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b
Answer:
9
Step-by-step explanation:
Y = MX-B,
therefore Y = (6*4) - 15,
so Y = 24 - 15
Y = 9
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.13 and 2.99
Answer:
Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.
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.
In this question, we have that:
Mean = 2.56
Standard deviation = 0.43
What percentage of the students have grade point averages that are between 2.13 and 2.99?
2.56 - 0.43 = 2.13
2.56 + 0.43 = 2.99
Within one standard deviation of the mean, so, by the Empirical Rule:
Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.
Explain the difference between a percent and a unit rate.
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound How much change should he receive if he pays with a $20 bill? a)
Answer:
$6.20
Step-by-step explanation:
5.75 * 2.40= 13.80
20-13.80= 6.20
$6.20
Help me with 15 :)plz
Find the area of the polygon shown
Answer:
18 feet
Step-by-step explanation:
(1*4)/2 = 2 (area of right triangle)
4*4=16 (area of square)
2+16=18
4.91666666667 as a fraction
Answer:
Up to 6 decimal places are supported for decimal-to-fraction conversion.
Step-by-step explanation:
Ayuda por favor urge
Answer:
x = 4
Step-by-step explanation:
x + x + 6 + 6 = x + 8 + 8
2x + 12 = x + 16
2x + 12 - 12 = x + 16 - 12
2x + 0 = x + 4
2x = x + 4
2x - x = x + 4 - x
2x - x = x - x + 4
x = 0x + 4
x = 0 + 4
x = 4
Chequando Respuesta :
x = 4
x + x + 6 + 6 = x + 8 + 8
(4) + (4) + 6 + 6 = (4) + 8 + 8
4 + 4 + 6 + 6 = 4 + 8 + 8
8 + 6 + 6 = 12 + 8
14 + 6 = 20
20 = 20
Ambos lados de la ecuacio'n son igual cuando x = 4, y esto confirma que la respuesta es corecta, que x = 4 en este problema.
what is the mean of the ages of the dance instructors?
IM GIVING BRAINLIEST‼️
Answer:
the answer to this is 25
Answer: 25
To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.
Hope this helped you!
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 14 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
_____
The area of the bookmark is_____cm2.
Answer:
The area of the bookmark is 68.56 cm².
Step-by-step explanation:
Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).
Find the area of the simpler figures.
Rectangle
A = LW
A = 14 · 4
A = 56
The area of the rectangle is 56 cm2.
Circle
A = πr2
A = 3.14(2)2
A = 3.14(4)
A = 12.56
The area of the circle is 12.56 cm2.
Find the area of the bookmark.
A = 56 + 12.56
A = 68.56
The area of the bookmark is 68.56 cm².
What is the slope of the line that contains these points?
х
15
17
19
21
10 2
14
26
Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
The slope of the line is 6.
Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
Find the vertex of the parabola y=2x^2+10x+8
Answer:
Step-by-step explanation:
Put the equation into vertex form.
y = 2x² + 10x + 8
= 2(x² + 5x) + 8
= 2(x² + 5x + 2.5²) - 2·2.5² + 8
= 2(x+2.5)² - 4.5
vertex (-2.5, -4.5)
please help
85-v=213
solve for v
Step-by-step explanation:
subtract the whole equation by 85 on both sides to get v by itself on the left side
85-85-v=213-85
-v=128
Now we divide the whole equation by negative 1
-1v/-1=128/-1
v=-128
Hope that helps :)
A motorcycle is 90 inches long. A car is 75% longer than the motorcycle. How long is the car?
expand and simplify (2x + 3) (3x - 1)
Answer:
6x^2+7x−3
Step-by-step explanation:
(2x+3)(3x−1)
Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.
6x^2−2x+9x−3
Combine −2x and 9x to get 7x.
6x^2+7x−3
Graph if needed:
A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.
Answer:
2.5 mg
Step-by-step explanation:
Given the data:
23 24 23 29 28 26 27 28 26
The sample standard deviation, s
s = sqrt[Σ(x - mean)²] ÷ (n - 1)
Mean, m = ΣX / n
n = 9
Mean = 234 /9 = 26
Using a calculator :
s = 2.236
The margin of error, MOE
MOE = Tcritical * s/sqrt(n)
Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536
MOE = 3.35536 * 2.236/sqrt(9)
MOE = 3.35536 * 2.236/3
MOE = 3.35536 * 0.7453333
MOE = 2.50086
MOE = 2.5
Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply
Answer:
I think its the first and the third one
Step-by-step explanation:
lemme know if this helps :)
Answer:
Step-by-step explanation:
an angle measures 176 degrees more than the measure of its supplementary angle. what is the measure of each angle
Answer:
One angle measures 178º, and the other measures 2º.
Step-by-step explanation:
Given that an angle measures 176 degrees more than the measure of its supplementary angle, to determine what is the measure of each angle, the following calculation must be performed, knowing that the sum between two complementary angles gives 180º:
(180 - 176) / 2 = X
4/2 = X
2 = X
180 - 2 = 178
Thus, one angle measures 178º, and the other measures 2º.
I Need help plz will give brainlyist for the correct answer