Answer:
3/4
Step-by-step explanation:
A ratio of the diameters is one diameter divided by the other so the miniDVD divided by the DVD = 9/12 or 3/4.
Find the length of the hypotenuse of a right triangle whose legs are 5 and 12
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
c = √169
c = 13
Answer:
the answer is 13
Step-by-step explanation:
A recipe calls for 3/5 gallon of milk. how much milk is needed to make half the recipe
Answer:
3/10 gallons
Step-by-step explanation:
We know that the recipe for 1 serving calls for 3/5 gallons of milk.
We want to know what 1/2 a serving calls for. Let's set up a proportion:
(1/2) / 1 = x / (3/5) , where x is the amount of milk needed for 1/2 the recipe
Cross-multiply:
x * 1 = (1/2) * (3/5)
x = 3/10
The answer is thus 3/10 gallons.
~ an aesthetics lover
Answer:
3/10 gallon of milk
Step-by-step explanation:
The recipe needs 3/5 gallon of milk, half of the recipe requires half of the milk.
3/5 half is:
[tex]3/5 \times 1/2[/tex]
[tex]=3/10[/tex]
What is the answer? x^2-y^2=55
Answer:
To solve for x we can write:
x² - y² = 55
x² = y² + 55
x = ±√(y² + 55)
To solve for y:
x² - y² = 55
y² = x² - 55
y = ±√(x² - 55)
how much money do you earn in 1 hour if you earn 20 in 4 hours
Answer:
let’s make a Unit rate.
$20/4 hours = $5 per hour
So you earn $5 in 1 hour if you earn $20 in 4 hours.
hope this helps and pls mark me brainliest if it did ;)
Answer:
$5
Step-by-step explanation:
Let's set up a proportion using the following setup.
money/hours=money/hours
We know that $20 is earned in 4 hours. We don't know how much is earned in 1 hour, so we can say $x is earned in 1 hour.
$20/4 hours= $x/1 hour
20/4=x/1
x/1 is equal to x.
20/4=x
Divide 20 by 4.
5=x
$5 is earned in 1 hour.
paulina plays both volleyball and soccer .the probability of her getting injured playing soccer is 0.10 and the probability of her getting injured playing soccer is 0.20 .which of the event is more likely
Step-by-step explanation:
While playing volleyball, probability of getting hurt is
P(A) = 0.1 = 1/10
and in the case of soccer, it is
P(B) = 0.2 = 2/10 = 1/5
Here we see, P(A) < P(B)
Answer: We can conclude that the probability of getting injured while playing soccer is more likely.
Match the integer to the corresponding placement on the following number line. E, F, H
Answer:
5,6,7 because they are in line with the letter
If
f(x) = 13x + 1, then
f-1(x) =
Answer:
(x-1)/13
Step-by-step explanation:
y = 13x+1
To find the inverse, exchange x and y
x = 13y+1
Solve for y
Subtract 1 from each side
x-1 =13y+1-1
x-1 = 13y
Divide each side by 13
(x-1)/13 = y
The inverse is (x-1)/13
Answer:
f(x) = 13x + 1
To find the inverse let f(x) = y
y = 13x + 1
x = 13y + 1
13y = x - 1
y = (x-1)/13
The inverse is x-1/13.
Which values of a and b make the following equation true?
(5x?y?)(-4x*ys) –-20x©yo
O a = 11, b= 7
O a = 11, b= 10
O a = 28, b= 7
O a = 28, b = 10
Complete Question is;
Which values of a and b make the following equation true (5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b
Answer:
Option A - a = 11 and b = 7
Step-by-step explanation:
We are given the equation as;
(5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b
In algebra, we know that, zⁿ × z² = z^(n + 2).
Thus, collecting like terms in powers on left hand side, we have;
-20(x^(7 + 4)) × (y^(2 + 5)) = -20x^a • y^b
-20(x^(11))•(y^(7)) = -20x^a • y^b
Comparing the left and right hand side, we have;
a = 11 and b = 7
Answer:
A
Step-by-step explanation:
Edge Laws of Exponents quiz :)
The mean of 10 positive numbers is 16. when another number is added, the mean becomes 18. Find the number added
Answer:
The number added was 38.
Step-by-step explanation:
(16x10+x)/11 = 18
160+x = 198
x = 38
Best Regards!
The area of a triangle is 80cm² and its base is 8cm. If its height is (6+k) cm, find the value if k.
(3marks)
Answer:
K=14
Step-by-step explanation:
A=1/2*b*h
80=1/2*8*(6+k) multiply by 2 on both sides
160=8*(6+k) distribute by 8
160=48+8k subtract 48 from both sides
112=8k divide by 8
14=K
The measures of two angles of a triangle are 105 and 31 degrees. Find the measure of the third angle.
Answer: 44°
Step-by-step explanation:
Measures of the angles of a triangle
= 180°
Therefore, 180 - 105 + 31 = 44°
The measure of the third angle is 44 degrees.
We have,
To find the measure of the third angle in a triangle, we can use the fact that the sum of the measures of all three angles in a triangle is always 180 degrees.
Let's denote the measure of the third angle as "x".
We are given that the measures of the other two angles are 105 degrees and 31 degrees.
Using the sum of angles in a triangle, we can set up the equation:
105 + 31 + x = 180
Simplifying the equation:
136 + x = 180
To isolate "x", we subtract 136 from both sides of the equation:
x = 180 - 136
x = 44
Therefore,
The measure of the third angle is 44 degrees.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Please answer this correctly
Answer:
I believe that the answer would be 1/5.
Step-by-step explanation:
A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 105 85 94 92 (a) Develop a point estimate of the population mean number of units sold per month. x = (b) Develop a point estimate of the population standard deviation. If required, round your answer to two decimal places. s =
Answer:
a) x = 94 units/month
b) s = 51.50 units/month
Step-by-step explanation:
The adequate point estimation of the population mean and standard deviation are the sample mean and sample standard deviation.
a) Point estimation of the population (sample mean)
[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(94+105+85+94+92)\\\\\\M=\dfrac{470}{5}\\\\\\M=94\\\\\\[/tex]
b) Point estimation of the population standard deviation (sample standard deviation)
[tex]s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2\\\\\\s=\dfrac{1}{4}((94-94)^2+(105-94)^2+(85-94)^2+(94-94)^2+(92-94)^2)\\\\\\s=\dfrac{206}{4}\\\\\\s=51.50\\\\\\[/tex]
Using statistical concepts, it is found that:
a) The point estimate for the population mean is of: [tex]\overline{x} = 94[/tex]
b) The point estimate for the population standard deviation is of: [tex]s = 7.18[/tex]
Item a:
The mean of a data-set is the sum of all observations in the data-set divided by the number of observations.The point estimate for the population mean is the sample mean.In this problem, the sample is: 94, 105, 85, 94, 92.
Thus, the mean is:
[tex]\overline{x} = \frac{94 + 105 + 85 + 94 + 92}{5} = 94[/tex]
Item b:
The standard deviation of a data-set is the square root of the sum of the differences squared between each observation and the mean, divided by one less than the number of values.The point estimate for the population standard deviation is the sample standard deviation.Then:
[tex]s = \sqrt{\frac{(94-94)^2+(105-94)^2+(85-94)^2+(94-94)^2+(92-94)^2}{4}} = 7.18[/tex]
A similar problem is given at https://brainly.com/question/13451786
X^2+_x+36
What is the Perfect Square Trinomials?
Answer:
Step-by-step explanation:
hello,
[tex]36=6*6=6^2[/tex]
and
[tex](x+6)^2=x^2+12x+36[/tex]
so the missing term is 12 to get a perfect square trinomial
hope this helps
Answer: The answer is "12".
Step-by-step explanation: Correct on edgen. (2022)
State the domain of f(a,b) = e^ab
Answer:
a2+b2=c2
Step-by-step explanation:
find the saqure roof of two
Answer:
(∞,∞), (a /a∉R)
Step-by-step explanation:
When 1760 is divided into 14 equal parts, the remainder is 10. What is a correct way to write the quotient?
Answer:
125 r. 10
Step-by-step explanation:
2)
Which of these objects are two-dimensional? Check all that apply.
A.Point
B.Segment
C.Square
D. Line
E. Solid
F. Plane
Answer:
Option C and F
Step-by-step explanation:
=> Square and Plane a two-dimensional objects.
Rest of the objects are either 1 - dimensional or 3- dimensional.
Find the volume of a right circular cone that has a height of 4.2m and a base with a radius of 3.4m
Answer:
about 50.8 cubic meters
Step-by-step explanation:
The formula for the volume of a cone is ...
V = (1/3)πr²h
Put the given values into the formula and do the arithmetic.
V = (1/3)π(3.4 m)²(4.2 m) = 16.194π m³
__
For π to calculator precision, this is ...
V ≈ 50.84 m³
For π = 3.14, this is ...
V ≈ 50.82 m³
A kite is flying 85 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 52degrees. Find the length of the string. Round your answer to the nearest tenth.
Answer:
107.9 ft
Step-by-step explanation:
Imagine Kite is a point A. The person ,who keeps the string is point B.
The height of flying is AC=85 ft. So we have right triangle ABC :angle C=90 degrees, angle B is 52 degrees. Length of AB (triangle ABC hypotenuse) is the length of the string.
AB=AC/sinB=85/sin52=107.8665...=approx 107.9 ft
answer this please ????
Answer:
a. x = 4
b. x = 17.5
Step-by-step explanation:
a. 5x/2 + 1 = 11
5x/2 = 10
5x = 20
x = 4
b. 2x/7 - 3 = 2
2x/7 = 5
2x = 35
x = 35/2
Answer:
a) x = 4
b) x = 17.5
Step-by-step explanation:
a)
(5x)/2 + 1 = 11
(5x)/2 = 10
5x = 20
x = 4
b)
(2x)/7 - 3 = 2
(2x)/7 = 5
2x = 35
x = 17.5
Suppose tossing a coin 8 times represents the 8 cups of tea, heads represents a correct identification of what was poured first, tea or milk, and tails represents an incorrect identification of what was poured first. Select the best conclusion you would draw about whether the woman was just guessing.
A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.
B. Repeat the process many times (1000). If 8 correct out of 8 cups rarely occurs, then it is unlikely that the woman was just guessing as to what was poured first.
C. Repeat the process many times (1000). If 8 correct out of 8 cups rarely occurs, then it is likely that the woman was just guessing as to what was poured first.
D. Repeat the process many times (1000). If 4 correct out of 8 cups rarely occurs, then it is unlikely that the woman was just guessing as to what was poured first.
Answer:
A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.
Step-by-step explanation:
Since tossing a coin 8 times implies 8 cups of tea, with the given conditions.
The sample space = 1000
Then;
[tex]\frac{6}{8}[/tex] × 1000 = 750
If 6 correct out of 8 cups occurs (750 out of 1000), the woman got 750 correctly. Thus it can be inferred that it is likely that she knew what was poured first, either the tea or milk.
But, if 6 correct out of 8 cups rarely occurs (i.e 250 out of 1000), then it is most likely that the woman was just guessing as to what was poured first.
Assume that the population proportion is 0.56. Compute the standard error of the proportion, σp, for sample sizes of 100, 200, 500, and 1,000. (Round your answers to four decimal places.)
Answer:
Standard errors are 0.049, 0.035, 0.022, and 0.016.
Step-by-step explanation:
The given value of population proportion (P) = 0.56
Given sample sizes (n ) 100, 200, 500, and 1000.
Now standard error is required to calculate.
Use the below formula to find standard error.
When sample size is n = 100
[tex]\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{100}} =0.049[/tex]
When sample size is n = 200
[tex]\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{200}} = 0.035[/tex]
When sample size is n = 500
[tex]\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{500}} =0.022[/tex]
When sample size is n = 1000
[tex]\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{1000}} = 0.016[/tex]
You perform a random experiment by rolling one time two fair six-sided dice and record the number of each die. Define and/or give examples of the following:
a. Give an example for a single outcome of your experiment?
b. What is the sample space of your experiment?
c. What is the probability for the first die to be two?
d. What is the probability that the value rolled on die 1 minus the value rolled on die 2 is positive?
Answer:
(c)1/6
(d)5/12
Step-by-step explanation:
When two fair six-sided dice are rolled once
(a)The pair (x,y) denotes a single outcome of the experiment where x is the outcome of the first die and y is the outcome of the second die.
For example, (2,1) means the first die shows a 2 while the second die shows an outcome of 1.
(b)Sample Space
The sample space of all possible outcome is:
[tex](1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5,6)\\(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)[/tex]
Total Number of Outcomes =36
(c)The probability for the first die to be two
The outcomes where the fist die is 2 are:
[tex](2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)[/tex]
Therefore:
The probability for the first die is two
[tex]=\dfrac{6}{36}\\\\=\dfrac{1}{6}[/tex]
(d)The probability that the value rolled on die 1 minus the value rolled on die 2 is positive
These are the outcomes of the pair (x,y) where x>y.
They are:
[tex](2, 1)\\(3, 1), (3, 2)\\(4, 1), (4, 2), (4, 3)\\(5, 1), (5, 2), (5, 3), (5, 4)\\(6, 1), (6, 2), (6, 3), (6, 4), (6,5)[/tex]
[tex]P(x-y>0)=\dfrac{15}{36}\\\\=\dfrac{5}{12}[/tex]
HELP!!!!!!!!!!!!
A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution.
Answer:
The graph of the probability density function is attached.
Step-by-step explanation:
The probability function for this random number generator will be like the uniform distribution and defined for X ∈ [0, 1].
The probability density function can be written as:
[tex]f(x)={\begin{cases}{\dfrac {1}{1-0}}=1&\mathrm {for} \ 0\leq x\leq 1,\\[8pt]0&\mathrm {for} \ x<0\ \mathrm {or} \ x>1\end{cases}}[/tex]
The graph of the probability density function is attached.
4(4x - 2) = x + 4
asnwerplsssssssss
Answer:
4(4x - 2) = x + 4
16x - 8 = x + 4
15x = 12
x = 12/15 = 4/5
Answer:
x = 0.8
Step-by-step explanation:
4(4x - 2) = x + 4
16x - 8 = x + 4
16x - x = 4 + 8
15x = 12
x = 0.8
Please answer this correctly
Answer:
3| 4 4 7
4| 0 3 4
5| 5 5 5
6| 0 1 3 8 9
7| 9
8| 1 4 6 8
hope it helps!
Step-by-step explanation:
Check the numbers and list out the tens digit in stem (that is 3-8) and then write the corresponding leaf values
Sixteen of 80 dogs in a rescue kennel are puppies.what percent of the dogs in the kennel are puppies?
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation: All you have to do is 16 divided by 80 which is 0.2. 0.2 as a decimal is 20%.
In the matrix equation below, what are the values of x and y?
Answer: x=3 y=1
Step-by-step explanation:
28-171/3 equals what in lowest terms
Answer:
81
Step-by-step explanation:
let the terms be a,ar,ar²
r=2/3
a+a(2/3)+a(2/3)²=171
multiply by 9
9a+6a+4a=171×9
19 a=171×9
a=(171×9)/(19)
a=9×9=81
Any help would be great
Answer:
15
Step-by-step explanation:
38=10+13+c
c=38-10-13=15
Hope this helps!