Answer:
The probability is 0.19.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Odds in favor of a win are given as 19 to 81.
This means that for each 19 + 81 = 100 games played, there are expected to be 19 wins.
Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
Desired outcomes:
19 wins, so D = 19.
Total outcomes:
100 games, so T = 100:
Probability:
[tex]p = \frac{D}{T} = \frac{19}{100} = 0.19[/tex]
The probability is 0.19.
The ratio of Adriana's age to her aunt's age is 7:10. In 2 years the sum of their ages will be 123. How old is Adriana's aunt now?
Answer:
70.35Step-by-step explanation:
The sum of 7 and 10 is 17. So 123 / 17 = 7.235 (roughly)
7.235 x 10 (for Adriana's aunt's age) equals 72.35
And to double check: We can find adriana's age by doing. 7.235 x 7 = 50.645. If we add 50.645 and 72.35 we get 122.995 which is roughly 123 and the reason why it is not 123 on the dot is because 123 / 17 is roughly 7.235 the full expanded one is: 7.23529411765
You may try checking with the full number without estimating but i am sure of my answer
Rihanna planned a rectangular courtyard for a park and made a scale drawing using inches as the unit of measurement. She originally planned for the length of the actual courtyard to be 54 feet, but she decided to change it to 72 feet. If the length of the courtyard is 18 inches in her scale drawing, which statement about the change of scale is true?
Answer:
I think it changed from 36x to 48x
Depending on how you look at it, it could have changed from 3x to 4x or 36x to 48x.
If they said it was 18 feet instead of 18 inches, it would be 3x or 4x, but they had it as inches.
18 inches = 1.5 feet
72/1.5 = 48
54/1.5 = 36
So originally, it would have been a scale of 1 in : 36in , but it changed to 1 in : 48 in
Sorry if this was confusing.
Answer:
One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale. Otherwise known as D
I got 100% on my quiz.
Step-by-step explanation:
What is x to the nearest tenth?
Answer:
x= 13.7 (nearest tenth)
Step-by-step explanation:
Please see attached picture for full solution.
what is the solution to 2.8(2+0.5n)=2.4(n+1.2)
Answer:
Step-by-step explanation:
Which of these generalizations is true?
A. All rectangles are squares.
В. All parallelogram s are rectangles.
C. All squares are parallelograms.
D. All trapezoids are parallelograms.
PLEASE HELP QUICKLY !THANK YOU :)
i’m confused on the split circle part; do i count it as a full circle?
Answer:
Below.
Step-by-step explanation:
Yes - those are 2 semicircles so their combined area = πr^2
= 3^2π
= 9π.
Yes.. You can count it as full circle.
Answer:
3.9 squre inch
Step-by-step explanation:
Two semicircles are inscribed in a square of side 6 in. Both the semicircles if combined together will form a full circle.
Area of the yellow region would be half of the areas of the difference between area of square and area of two semicircles each with radius 3 inches.
Therefore,
Area of yellow region
[tex] = \frac{1}{2} (area \: of \: square - 2 \times area \: of \: semicircle) \\ \\ = \frac{1}{2} ( {6}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} ) \\ \\ = \frac{1}{2} ( {6}^{2} - 3.14 \times {3}^{2} ) \\ \\ = \frac{1}{2} ( 36 - 3.14 \times 9 ) \\ \\ = \frac{1}{2} ( 36 - 28.26 ) \\ \\ = \frac{1}{2} \times 7.74 \\ \\ = 3.87 \: {in}^{2} \\ \\ = 3.9 \: {in}^{2}[/tex]
Meal can be considered symmetric and mound-shaped with mean 1075 calories and standard deviation 302 calories. Use the 68-95-99.7 rule to answer the following questions. NOTE. This web site 68-95-99.7 rule graphically depicts the 68-95-99.7 rule and may help with the following questions. a. What is the approximate percentage of the Chipotle meals that have more than 471 calories
Answer:
The approximate percentage of the Chipotle meals that have more than 471 calories is 95%.
Step-by-step explanation:
We are given that meal can be considered symmetric and mound-shaped with mean 1075 calories and standard deviation 302 calories.
Let X = Chipotle meals having calories
So, X ~ Normal([tex]\mu=1075, \sigma^{2} =302^{2}[/tex])
Now, the 68-95-99.7 rule states that;
68% of the data values lies within one standard deviation points.95% of the data values lies within two standard deviation points.99.7% of the data values lies within three standard deviation points.So, the approximate percentage of the Chipotle meals that have more than 471 calories is given by;
[tex]\frac{X-\mu}{\sigma} = \frac{471-1075}{302}[/tex]
= -2
Since, it is stated above that 95% of the data values lies within two standard deviation points which means 95% values lies between -2 and 2 z score values.
SO, the approximate percentage of the Chipotle meals that have more than 471 calories is 95%.
A carpenter bought some tools to build chairs. The cost of the materials for each chair was the same. The total cost y (tools and materials) to make x chairs is shown in the graph below. The cost of the tools was $_____ and the cost of materials for one chair was $________
Answer:
Cost of tools: $100
Cost for each chair: $25
Step-by-step explanation:
You can see that before 1 chair, the cost is at 100. This means that the cost of the tools is $100. Another way to determine this is to see that at 1 chair, the cost is $125. At 2, it's $150, and at 3 it's $175, etc. This tells you that the cost to produce each chair is $25, but it also tells you that the tools cost 100 dollars, since the total cost at 1 chair is $125, and each chair only costs $25.
Hope this helps!
Answer:
100,25
Step-by-step explanation:
Please help me understand this!!
Step-by-step explanation:
3 + 15 + 75 + 375 + 1,875
This is a geometric series. The first term is 3, the common ratio is 5, and the number of terms is 5.
∑₁⁵ 3 (5)ⁿ⁻¹
∑₀⁴ 3 (5)ⁿ
3 + 12 + 48 + 192 + 768
This is a geometric series. The first term is 3, the common ratio is 4, and the number of terms is 5.
∑₁⁵ 3 (4)ⁿ⁻¹
∑₀⁴ 3 (4)ⁿ
4 + 32 + 256 + 2048 + 16,384
This is a geometric series. The first term is 4, the common ratio is 8, and the number of terms is 5.
∑₁⁵ 4 (8)ⁿ⁻¹
∑₀⁴ 4 (8)ⁿ
2 + 6 + 18 + 54 + 162
This is a geometric series. The first term is 2, the common ratio is 3, and the number of terms is 5.
∑₁⁵ 2 (3)ⁿ⁻¹
∑₀⁴ 2 (3)ⁿ
I need to know if the graph makes sense based on how Naoya shoots, everything is in the photo.
Answer:
Not correct
Step-by-step explanation:
Sample 8 has one free throw, sample 9 has 3 free throw success,
sample 10 has 3 free throw success
sample 11 has 5 free throw success
sample 12 has 5 free throw success
sample 13 has 2 free throw success
sample 14 has 1 free throw success;
See one sample should contain 15 free throw and the probability of success should be 0.7
Let's look at sample 8
Total no of success is 1
Total no of free throws 15
Probability is 1/15 = 1/15 * 100 =6.67%
Similarly you can do so for the others.
Find the product. (3x 2 - 5x + 3)(3x - 2)
Answer:
9x^3-21x^2+19x-6
Step-by-step explanation:
First you have to distribute the first equation into the second since the two are being multiplied:
(3x^2-5x+3)(3x-2)
9x^3-6x^2-15^2+10x+9x-6
(simplify)
9x^3-21x^2+19x-6
9x^3-21x^2+19x-6
First you have to distribute the first equation into the second since the two are being multiplied:
(3x^2-5x+3)(3x-2)
9x^3-6x^2-15^2+10x+9x-6
(simplify)
9x^3-21x^2+19x-6 is the answer to the question
Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6,6]. Round off your answer to the nearest integer.
A) 25,351 units^2
B) 149,473 units^2
C) 3,758 units^2
D) 2,362 units^2
Answer:
The area of the region is 25,351 [tex]units^2[/tex].
Step-by-step explanation:
The Fundamental Theorem of Calculus: if [tex]f[/tex] is a continuous function on [tex][a,b][/tex], then
[tex]\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}[/tex]
where [tex]F[/tex] is an antiderivative of [tex]f[/tex].
A function [tex]F[/tex] is an antiderivative of the function [tex]f[/tex] if
[tex]F^{'}(x)=f(x)[/tex]
The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.
To find the area of the region between the graph of the function [tex]x^5 + 8x^4 + 2x^2 + 5x + 15[/tex] and the x-axis on the interval [-6, 6] you must:
Apply the Fundamental Theorem of Calculus
[tex]\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx[/tex]
[tex]\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2[/tex]
Find the point based on the parametric
equations. t = 3
X = 1 - 2t
y = 4t + 1
Answer:
(-5,13)
Step-by-step explanation:
because t=3
[tex]x = 1 - 2 \times 3 = - 5 \\ y = 4 \times 3 + 1 = 13[/tex]
Which is the completely factored form of 4X cubed +10 X squared minus 6X
Answer:
2x(2x - 1)(x + 3)
Step-by-step explanation:
4x^3 + 10x^2 - 6x =
Factor out the common factor 2x.
= 2x(2x^2 + 5x - 3)
Factor the trinominal.
= 2x(2x - 1)(x + 3)
Answer:
[tex]=2x\left(2x-1\right)\left(x+3\right)[/tex]
Step-by-step explanation:
[tex]4x^3+10x^2-6x\\\mathrm{Factor\:out\:common\:term\:}2x:\quad 2x\left(2x^2+5x-3\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\x^3=x^2x\\=4x^2x+10xx-6x\\\mathrm{Rewrite\:}6\mathrm{\:as\:}2\cdot \:3\\\mathrm{Rewrite\:}10\mathrm{\:as\:}2\cdot \:5\\\mathrm{Rewrite\:}4\mathrm{\:as\:}2\cdot \:2\\=2\cdot \:2x^2x+2\cdot \:5xx-2\cdot \:3x\\\mathrm{Factor\:out\:common\:term\:}2x\\=2x\left(2x^2+5x-3\right)\\\mathrm{Factor}\:2x^2+5x-3:\quad \left(2x-1\right)\left(x+3\right)[/tex]
[tex]2x^2+5x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(2x^2-x\right)+\left(6x-3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-x\mathrm{:\quad }x\left(2x-1\right)\\2x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=2xx-x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(2x-1\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}6x-3\mathrm{:\quad }3\left(2x-1\right)\\6x-3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=3\cdot \:2x-3[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}3\\=3\left(2x-1\right)\\=x\left(2x-1\right)+3\left(2x-1\right)\\\mathrm{Factor\:out\:common\:term\:}2x-1\\=\left(2x-1\right)\left(x+3\right)\\=2x\left(2x-1\right)\left(x+3\right)[/tex]
5-5+x*7=14
What is x=
PLEASE HELP ME PLEASE LOOK AT THE PICTURE I NEED AN ANSWER ASAP
Answer:
1st one is 2. 2nd one is 5. 3rd one is less than. 4th one is, is smaller
Step-by-step explanation:
Find the mass of lamina bounded by circles x2 + y2 = 1 and x2 + y2 = 4in the first quadrant if the density is (x2 + y2). Could please anyone solve this...
Since density is equal to mass per unit volume, mass is equal to density times volume. So we split up the lamina into tiny regions with "volume" (area) equal to dA, multiplied by the density, and integrated over the entirety of the lamina.
This is best done in polar coordinates:
[tex]\begin{cases}x=u\cos v\\y=u\sin v\end{cases}\implies\mathrm dA=\mathrm dx\,\mathrm dy=u\,\mathrm du\,\mathrm dv[/tex]
so that [tex]x^2+y^2=u^2\cos^2v+u^2\sin^2v=u^2[/tex].
The lamina is then the set of points
[tex]L=\left\{(u,v)\mid1\le u\le2\land0\le v\le\dfrac\pi2\right\}[/tex]
Now compute the integral: the mass of the lamina is
[tex]\displaystyle\iint_L(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_1^2u^3\,\mathrm du\,\mathrm dv=\frac\pi2\int_1^2u^3\,\mathrm du=\frac{15\pi}8[/tex]
what is equal to 12/10
Answer:
6/5, or 1.2
Step-by-step explanation:
The right answer is 6/5
Look at the attached picture
Hope it will help you
Good luck on your assignment
1. Michel buys a leash for his dog. The leash is 6 ft 3 inches. How long, in inches, is the leash?(1 ft = 12 inches)
A) 48 inches
B) 51 inches
C) 72 inches
D) 75 inches
2. What is the area of a triangular garden with base of 6 ft and a height of 9 ft? (A = 1/2BH)
A) 27 square feet
B) 48 square feet
C) 54 square feet
D) 24 square feet
Answer:
1 = D 75 inches
2 = A 27
Step-by-step explanation:
1 - 6.3 times 12 = 75.6
2 - 6 times 9 = 54
54/2 = 27
:)
How would you simplify a negative square root?
Provide a detailed explanation, with an example, to receive full credit.
Answer:
To simplify
√(-x) = √((x)(-1)) = √((x)(i^2))
√(-x) = √(i^2) × √x = i√x
For example;
Simplify √-9
√-9 = √(-1×9) = √-1 × √9
√-9 = √(i^2) × √9 = i × 3
√-9 = 3i
Step-by-step explanation:
Given a negative square root √(-x);
From our knowledge of complex numbers, we know that
i^2 = -1 and vise versa
To simplify
√(-x) = √((x)(-1)) = √((x)(i^2))
√(-x) = √(i^2) × √x = i√x
For example;
Simplify √-9
√-9 = √(-1×9) = √-1 × √9
√-9 = √(i^2) × √9 = i × 3
√-9 = 3i
Step-by-step explanation:
The square root of a number A, is a number B such that, when it is multiplied by itself, the result is A.
If A × A = B
Then √B = A.
Now the multiplication of two numbers gives a positive number if both numbers are positive, or both numbers are negative.
2 × 2 = -2 × -2 = 4
3 × 3 = -3 × - 3 = 9
And so on.
So, the square root of 4 = 2 or -2
The square root of 9 = 3 or -3
But if one of the numbers is positive while the other is negative, then the result is negative.
2 × -2 = -4
3 × -3 = -9
Clearly, √(-4) ≠ 2 ≠ -2
√(-9) ≠ 3 ≠ -3
It is impossible to find the square root of negative numbers on the real line. This gives rise to the introduction of Complex Number.
Let i² = -1, then we have that
√(-1) = i.
This is the idea of Complex number, and it helps solve the problem of the negative square roots, and every negative number can be written as the multiplication of -1 and the inverse of the number.
-A = -1 × A
So, √(-A) = √(-1 × A)
= √(-1) × √A
= i × √A
= i√A
Example, to simplify √(-16)
√(-16) = √(-1 × 16)
= √(-1) × √16
= i × ±4
= ±4i
The students in Mr. Sanchez's class are converting distances measured in miles to kilometers. To estimate the number of kilometers, Abby takes the number of miles, doubles it, then subtracts 20% of the result. Renato first divides the number of miles by 5, then multiplies the result by 8. Write an algebraic expression that shows the process that both students used. Abby's expression: Renato's expression:
Step-by-step explanation:
Abby’s Expression:
Double m, giving 2m. She then takes 20% of the result, which we can write 0.2(2m). Finally she subtracts this from 2m, giving 2m−(0.2)2m
2m − (0.2)2m
Renato’s Expression:
Divide m by 5, giving m ÷ 5 = m/5, and then multiplies the result by 8, giving:
8(m/5)
Carole ordered 4 dresses for $80 each, a $25 sweater, and a coat. The cost of the items without sales tax was $430. What was the cost of the coat?
Explanation:
The equation for the total cost of the clothes is 4×80+25+c=430, where c is the cost of the coat.
320 + 25 + c = 430
345 + c = 430
345 - 345 + c = 430 - 345
c = 85
The cost of the coat was $85.
Answer:
$85 for the coat
Step-by-step explanation:
1 dress = $80
4 dress =$80×4
=$320
sweater=$25
coat=?
4 dresses plus the sweater cost :
$320+$25=$345
The cost of all the item $430
cost of the coat :
$430-$345=$85
Marc drives his car 500 miles using 20 gallons of gas. How many miles per gallon does his car get
Answer:
25 miles per gallon
Step-by-step explanation:
We want to find miles per gallon so take the miles and divide by the gallons
500 miles / 20 gallons
25 miles per gallon
Answer:
[tex]= 25 \: \: \: miles \: \: \: per \: \: \: gallon \\ [/tex]
Step-by-step explanation:
You have to find miles per gallon.
So to solve that you have to divide miles by gallon.
[tex] \frac{500}{20} \\ = 25 \: \: \: miles \: \: \: per \: \: \: gallon[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The ACT is an achievement test given nationally with normally distributed scores. Tim
scored a 24 on the mathematics portion of his ACT. The mean for the mathematics portion of
the ACT was 22.0 and the standard deviation was 5.1. What percent of the population scored
higher than Tim on the mathematics portion of the ACT?
Answer:
34.83% of the population scored higher than Tim on the mathematics portion of the ACT
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 22, \sigma = 5.1[/tex]
Tim scored 24. What percent of the population scored higher than Tim on the mathematics portion of the ACT?
The proportion is 1 subtracted by the pvalue of Z when X = 24. The percentage is the proportion multiplied by 100.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 22}{5.1}[/tex]
[tex]Z = 0.39[/tex]
[tex]Z = 0.39[/tex] has a pvalue of 0.6517
1 - 0.6517 = 0.3483
34.83% of the population scored higher than Tim on the mathematics portion of the ACT
Parker invested $7,800 in an account
paying an interest rate of 1.7%
compounded continuously. Assuming no
deposits or withdrawals are made, how
much money, to the nearest dollar, would
be in the account after 11 years?
Answer:
A=9404
Step-by-step explanation:
Answer:
9404
Step-by-step explanation:
What is the product? [-3 4 2 +5] * [3 -2 1 0]
Answer:
So the answer is the first one
Find the GCF.
6m3n and 8mn2
Answer:
[tex]2mn[/tex]
Step-by-step explanation:
[tex]6m^3n,\:8mn^2[/tex]
Find the GCD of [tex]6,\:8[/tex]:
[tex]6[/tex]
[tex]=2\cdot \:3[/tex]
[tex]8[/tex]
[tex]=2\cdot \:4[/tex]
[tex]=2\cdot \:2\cdot \:2[/tex]
So the prime factor common to 6, 8 is:
[tex]2[/tex]
So the factor common to [tex]6m^3n,\:8mn^2[/tex]:
[tex]=2mn[/tex]
triangle ABC a = 4 and m angle C=30 If the area of the triangle is 6 what is the length of side b
Answer:
6m = b
Step-by-step explanation:
The area of triangle when angle and sides are given = 1/2* sin angle*ab
Area = 1/2 * sin 30 * 4*b
Area = 6m²
6 = 1/2 * sin 30 * 4*b
(6*2)/(sin 30 * 4)= b
12/(0.5*4) = b
12/2 = b
6m = b
1,664 flound ounces = gallons
Answer:
1,664 fluid ounces = 13 gallons
Step-by-step explanation:
If Triangle M N O is congruent to triangle N M O, what statement best describes triangle MON?
The triangle is scalene.
The triangle is equilateral.
The triangle is isosceles and possibly equilateral.
The triangle is isosceles but definitely not equilateral.
Answer:
The answer is c
Step-by-step explanation:
The statement that best describes triangle MON is (c) The triangle is isosceles and possibly equilateral.
The congruent triangles are:
Triangle MNO and Triangle NMO
The above means that:
Sides MN and NO or MN and MO are equal
So, the triangles are isosceles triangles
However, it is possible that sides NO and MO are congruent
Hence, the statement that best describes triangle MON is (c) The triangle is isosceles and possibly equilateral.
Read more about congruent triangles at:
https://brainly.com/question/1675117