Answer:
The probability that a student owns a laptop or a desktop is 92%.
Step-by-step explanation:
We are given that the probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. The probability that a student owns both is 0.55 .
And we have to find the probability that a student owns a laptop or a desktop.
Let the probability that a student owns a laptop = P(L) = 0.82
The probability that a student owns a desktop = P(D) = 0.65
The probability that a student owns both laptop and desktop = P(L [tex]\bigcap[/tex] D) = 0.55
Now, the probability that a student owns a laptop or a desktop is given by = P(L [tex]\bigcup[/tex] D)
P(L [tex]\bigcup[/tex] D) = P(L) + P(D) - P(L [tex]\bigcap[/tex] D)
= 0.82 + 0.65 - 0.55
= 0.92 or 92%
So, the probability that a student owns a laptop or a desktop is 92%.
Carla has 10 coins, each of which is a nickel, a dime, or a quarter. The total value of her coins is less than $1.00. How many different
combinations of coins might Carla have?
Note: The values of a nickel, a dime, and a quarter are, respectively, $0.05, $0.10, and $0.25.
Answer:
2 quarters,2dimes,6nickels
Choose the best description for the real number 2.33663336663333666689...
Irrational, because it is a terminating decimal
O Rational, because it is a repeating decimal
Irrational, because it is non-terminating decimal
O Rational, because it is a terminating decimal
Answer:
Irrational, non-terminating
Step-by-step explanation:
This number is irrational because it is a non-terminating decimal. Notice how it continues with the '...'. <3
what is equal to -3/2
Answer:
-1.5
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
-1.5
-1 1/2
-6/4
Femi's last 5 bowling scores were 68, 75, 72, 90, and 80.
What was Femi's mean score?
A. 72
B. 75
C. 77
D. 79
Answer:
77
Step-by-step explanation:
The mean of a set of numbers will be the sum of all of them divided by the amount of numbers.
[tex]68+75+72+90+80=385[/tex]
There are 5 numbers in this set:
[tex]385\div5=77[/tex]
Hope this helped!
Femi's mean score is C. 77
Femi's mean score is the sum of all his bowling scores, divided by the number of times he bowled.
Question said that he bowled 5 times so the mean is:
= (68 + 75 + 72 + 90 + 80) / 5
= 385 / 5
= 77
Femi's mean score is therefore 77
Find out more at https://brainly.com/question/17927197.
The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of newer wide-screen televisions is 16:9. Find the width and height of an older 35-inch television whose screen has an aspect ratio of 4:3.
Answer: 3000 in^2
Explanation:
There are twelve signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign
Answer:
5
Step-by-step explanation:
Given that each zodiac sign occupies 1/12 of a year.
Then the minimum number of persons for Y[all different signs] < 0.5,
The probability of at least two having the same sign is 1 minus the probability of all having different signs.
This can be represented as A [at least 2 person share the same sign] = 1 - Y[all different signs] must be > 0.5
Therefore we have 1 - 12/12 *11/12 * 10/12 *9/12 *8/12 = 0.38
This implies that the lowest number will be found to be 5
Hence, the correct answer is 5.
A die is rolled 300 times and following outcomes were recorded.
outcome 1 2 3 4 5 6
frequency 62 45 63 32 47 51
find the probability of getting
1. more than 4
2. less than 3
Answer:
1. 49/150
2. 107/300
Step-by-step explanation:
Here is a probability question.
a. The first question asks us to find the probability of getting more than 4.
Now to do this, we look at our possible results when we roll the die, we can see that we can have 1-6.
But within this range, only two numbers are greater than 4, these are 5 and 6
Thus, to calculate the probability of getting either 5 or 6, we look at their frequencies, sum it up, then divide by the total number of times which the die was rolled.
The frequency of 5 is 47, while that of 6 is 51
The probability of getting more than 4 = Probability of getting 5 + Probability of getting 6 = (Frequency of 5 + Frequency of 6)/Total number of trials
= (47 + 51)/300 = 98/300 = 49/150
b. Probability of getting less than 3
Here, we proceed as we did in the first question. The numbers which are less than 3 are 1 and 2.
So the probability of getting less than 3 = Probability of getting 1 + Probability of getting 2 = (Frequency of 1 + Frequency of 2)/Total number of trials
Frequency of 1 = 62 while Frequency of 2 = 45
So, probability of getting less than 3 = (45 + 62)/300 = 107/300
List the next three numbers for the sequence: 7, 7 2 , 7 4 , 7 8
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
7, 7 /2 , 7/ 4 , 7/ 8
We multiply by 1/2 each time
7/8 *1/2 = 7/16
7/16*1/2 = 7/32
7/32 *1/2 = 7/64
Part A.) in another baseball game division, one team had a winning percentage of 0.444... what fractions of the game did the team win? *with full steps please* Part B.)How do you know what power of 10 to multiply by in the second step at the right?
Answer:
4/9
Step-by-step explanation:
0.4444... can be written as a geometric series with first term 0.4 and common ratio 0.1. Each new digit is 0.1 times the previous digit.
0.4
Then 0.4444... = ------------ = 0.4/0.9 = 4/9
1 - 0.1
You may check this result by dividing 4 by 9 on a calculator.
Need help with a,b,c for simplifying
Answer:
6
Step-by-step explanation:
A) f(x+h)=6(x+h)-6
=6x+6h-6
B)(6x+6h-6)-(6x-6)
6x+6h-6-6x+6
=>6h
C=6h/h
C=6
1. -4х – 7- 3х + 4 = 25
Answer:x=-4
Step-by-step explanation: combine like terms, add 4 and -7 which is -3 and add -4x and the -3x because they are like terms which is -7x so it should be -7x-3=25. then to get rid of the 3 add it to both sides so it would turn out like -7x=28 then divide the 7 on both sides= 28/ -7= -4
Which statements are always true regarding the
diagram? Check all that apply.
3
OmZ3+ m 24 = 180°
A
co
On
m2 + m 24+ m26 = 180°
m2 + m 24 = m 25
2
7
m21+ m2 = 90°
m24+ m26 = m22
m22 + m 26 = m25
Answer:
m<3 + m<4:= 180°
m<2 + m<4 + m<6 = 180°
m<2 + m<4 = m<5
Step-by-step explanation:
<3 and <4 are linear pairs. They are angles on a straight line. Angles in a straight line sum up to give 180°. Therefore, the statement "m<3 + m<4:= 180°" is TRUE.
<2, <4, <6 are interior angles of a triangle. The sum of the angles in a ∆ = 180°. Therefore, the statement, "m<2 + m<4 + m<6 = 180°" is TRUE.
<2 and <4 are opposite interior angles of the ∆, while <5 is an exterior angle to the ∆. Based on the external angle theorem of a ∆, the statement, "m<2 + m<4 = m<5" is TRUE.
<1 and <2 are a linear pair, and are angles on a straight line. Their sum cannot give us 90°.
m<4 + m<6 ≠ m<2. Rather, 180 - (m<4 + m<6) = m<2 (sum of angles in a ∆)
m<2 + m<6 ≠ m<5. Rather, m<2 + m<4 = m<5
The correct equations are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
m∠2 + m∠5 = m∠4
TriangleTriangle is a polygon with three angles and three sides. The sum of angles in a triangle is 180 degree.
From the diagram:
m∠5 + m∠6 = 180° (angle in a straight line)
But:
m∠2 + m∠3 + m∠5 = 180
m∠2 + m∠3 + m∠5 = m∠5 + m∠6
m∠2 + m∠3 = m∠6
Also:
m∠2 + m∠3 + m∠5 = 180° (sum of angles in a triangle)
But:
m∠3 + m∠4 = 180° (angle in a straight line)
m∠2 + m∠3 + m∠5 = m∠3 + m∠4
m∠2 + m∠5 = m∠4
Find out more on triangles at: https://brainly.com/question/2644832
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x, x1 = 0.7
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
What is the solution to the equation to 0.5x+3.5=6
Answer:
x = 5
Step-by-step explanation:
0.5x + 3.5 = 6
0.5x = 6 - 3.5
0.5x = 2.5
x = 2.5 / 0.5
x = 5
Let f(x)=5x-13 what ordered pair in f corresponds to the equation f(x)=7 ? Recall y=f(x).
Answer:
(4,7)
Step-by-step explanation:
f(x)=5x-13
Let this equal to 7
7=5x-13
Add 13 to each side
7+13 = 5x-13+13
20 = 5x
Divide by 5
20/5 = 5x/5
4 =x
The ordered pair is
(4,7)
Which expression can be used to convert AU$22 into US
Evaluate the following iterated integral by converting to polar coordinates.
∫8 −8∫0^(64−x^2)1/2 sin(x^2+y^2) dydx
Integration
IntegralsIntegration TechniquesIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Double Integrals
Polar Coordinates Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle x^2 + y^2 = r^2[/tex]Integral Conversion [Polar Coordinates]:
[tex]\displaystyle \iint_T {f(x, y)} \, dA = \iint_R {f(r, \theta)r} \, dr \, d\theta[/tex]
The formatting of the question was thrown off, so I have defined it down below.
We are given an integral and asked to convert to polar coordinates as well as evaluate it:
[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx[/tex]
It would be quite difficult to evaluate the given integral using conventional methods, so we apply polar conversion to evaluate the integral. Let's start out by converting the function and the bounds.
[Bounds] Cartesian to Polar:
[tex]\displaystyle \left \{ {{-8 \leq x \leq 8} \atop {0 \leq y \leq \sqrt{64 - x^2}}} \right \longrightarrow \left \{ {{0 \leq r \leq 8} \atop {0 \leq \theta \leq \pi}} \right[/tex]
[Function] Cartesian to Polar:
[tex]\displaystyle f(x ,\ y) = \sin(x^2 + y^2) \longrightarrow f(r ,\ \theta) = \sin r^2[/tex]
Now that we've converted to polar coordinates, we can convert the integral using our integral conversion listed under "Multivariable Calculus":
[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx \longrightarrow \int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta[/tex]
We can now evaluate the polar integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \int \limits^{\pi}_{0} \underbrace{\int \limits^{8}_{0} r \sin r^2 \, dr \, }_{u = r^2 ,\ du = 2r \, dr} d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \int \limits^{8}_{0} 2r \sin r^2 \, dr \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \int \limits^{r = 8}_{r = 0} \sin u \, du \, d\theta \\\end{aligned}[/tex]
[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos u \bigg) \bigg| \limits^{r = 8}_{r = 0} \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos r^2 \bigg) \bigg| \limits^{r = 8}_{r = 0} \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos 64 + 1 \bigg) \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( 1 - \cos 64 \bigg) \, d\theta \\\end{aligned}[/tex]
[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \frac{1}{2} \bigg(1 - \cos 64 \bigg) \bigg( \theta \bigg) \bigg| \limits^{\pi}_{0} \\& = \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }\end{aligned}[/tex]
∴ the integral equals:
[tex]\displaystyle \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }[/tex]
[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx = \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }[/tex]
___
Learn more about double integrals: https://brainly.com/question/17433118
Learn more about Multivariable Calculus: https://brainly.com/question/27654526
___
Topic: Multivariable Calculus
Unit: Double Integrals
whats the answer to 4c+5=27
Answer:
c=5+1/2
Step-by-step explanation:
We move all terms to the left:
4c+5-(27)=0
We add all the numbers together, and all the variables
4c-22=0
We move all terms containing c to the left, all other terms to the right
4c=22
c=22/4
c=5+1/2
Warmup Day 1
(52 + 4) * 5 - 2 + (-4)
Please work this Problem out step by step.
X Clear
* Undo
Answer:
274
Step-by-step explanation:
(52 + 4) * 5 - 2 + (-4)
56 * 5 - 2 + (-4)
56 * 5 - 2 - 4
280 - 2 - 4
278 - 4
274
Answer:
274
Step-by-step explanation:
(52+4)*5-2+(-4)
(56)*5-2+(-4)
280-2+(-4)
278+(-4)
274
1 ac =how many millions
1 Acre-feet to Million Cubic Feet = 0.0436
Will choose the brainliest
And please make sure the answer us correct
Thank you:)
can u guys answer this
We have,
∠A0C is a linear pair. [ 180° ]∠AOB = x°∠BOC = 128°Now,
∠AOB + ∠BOC = ∠A0C
⇒ x + 128° = 180°
⇒ x = 180° - 128°
⇒ x = 52°
In the triangle below,
y = [ ? ] cm. Round to the
nearest tenth.
Answer:
The answer is
12.3 cmStep-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find y
To find y we use cosine
cos∅ = adjacent / hypotenuse
From the question
y is the adjacent
The hypotenuse is 15
So we have
[tex] \cos(35) = \frac{y}{15} \\ y = 15 \cos( 35 ) \\ y = 12.28728[/tex]
We have the final answer as
12.3 cm to the nearest tenthHope this helps you
Solve. 3(4x−7)=27 erhtnmdyrshgfwegbrnhtjftdgrsefvgsrdhtfjndbgrsvgrbhdtnjyu
★ Solution :
[tex]:\implies\sf 3(4x - 7) = 27\:\:\:\:\Bigg\lgroup \bf{Given\: Equation}\Bigg\rgroup \\\\\\:\implies\sf 12x - 21 = 27\\\\\\:\implies\sf 12x = 27 + 21\\\\\\:\implies\sf 12x = 48\\\\\\:\implies\sf x = \dfrac{48}{12}\\\\\\:\implies\underline{\boxed{\sf x = 4}}[/tex]
Answer:
Answer :[tex]3(x - 7) = 27[/tex]
[tex]⟹3x - 21 = 27[/tex]
[tex]⟹3x = 27 + 21[/tex]
[tex]⟹3x = 48[/tex]
[tex]⟹x = \frac{48}{3} [/tex]
[tex]⟹x = 16[/tex]
Jeremy bought $2,500 worth of gold this week. If the price of gold appreciates at the rate of 5.5%
each year, what will his gold be worth in 7 years?
Answer:
$3,636.70
Step-by-step explanation:
Given the following:
Initial price of Gold (A) = $2500
Rate of appreciation (r) = 5.5% = 0.055
Worth of gold in 7 years will be?
Period (p) = 7
Using the compound interest formula :
Let F = final amount
F = A( 1 + r/n)^nt
n = number of times Appreciation occurs per period.
Since rate compounds yearly, then, n = 1
F = $2500( 1 + 0.055/1)^(7*1)
F = $2500(1 + 0.055)^7
F = $2500(1.055)^7
F = $2500(1.454679161133794609375)
F = $3636.6979
Amount in 7 years = $3,636.70
Lincoln is wrapping a rectangular shaped present. The length of the present is 4 inches, the width is 8 inches and the height is 15 inches. How much wrapping paper will Lincoln need?
Step-by-step explanation:
To find the area of the wrapping paper required,
we must find the Total Surface Area of the box
As we know, the TSA of a cuboid= 2 (lh+bh+lb)
Here,
Total Surface Area of the cuboid=
[tex]2(4 \times 8 + 8 \times 15 + 15 \times 4)[/tex]
[tex] = 2(32 + 120 + 60)[/tex]
[tex] = 2(212)[/tex]
[tex] = 414 \: inches^2[/tex]
Which equation describes the line graphed above?
Answer:
What lined graph?
Step-by-step explanation:
Answer:
Please give a lined graph. However, if your question is like mine, I may be able to help.
Here, the answer is D. For the slope, remember: Rise over Run. The slope will be a fraction, so let the amount of points between points on the line (If that makes sense) be that fraction. The amount between points vertically is the Numerator (top) of your fraction, and the amount horizontally is the denominator (Bottom). If the Denominator is 1, your fraction is a whole number.
To solve the linear equation , the first step is to multiply each side by the least common denominator of all the fractions in the equation. What is the LCD?
Answer:
84
Step-by-step explanation:
The least common denominator of the 7, 6, 12, which are the denominators of the fractions in the given linear equation, is the least expression or number that is divisible by 7, 6, 12.
To find the LCD, express each number as factors of itself as follows:
[tex] 7 = 1*7 [/tex]
[tex] 6 = 2*3 [/tex]
[tex] 12 = 2^2*3 [/tex]
Find the product of the highest terms
The product = LCD = [tex] 1*2^2*3*7 = 84 [/tex]
LCD of 7, 6, 12 = 84
Answer:
84
Step-by-step explanation:
If one cup of soy milk contains 4g total fat then how many grams of total fat are in 2 3/4 cups of soy milk
Answer:
11
Step-by-step explanation:
Just multiply 4 times 2 3/4 and youll get 11
If one cup of soy milk contains 4g total fat then [tex]2\frac{3}{4}[/tex] cups of soy milk contains 11g of total fat.
Cross multiplication: 1 cup contains 4grams of total fat then[tex]2\frac{3}{4}[/tex] cups contains x grams of total fat.
1(x) = 4([tex]2\frac{3}{4}[/tex])⇒ x = 4([tex]\frac{11}{4}[/tex])
⇒ x = 11 grams
Hence 11 grams of total fat is there in [tex]2\frac{3}{4}[/tex] cups of soy milk.
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#SPJ2
Find the population of each BRICS country as the fraction of total population of BRICS
Answer:
fortnite battle royal
Step-by-step explanation:
Answer:
fre7wgbxyifg crgrggStep-by-step explanation: