Answer:
p = 16.8
[tex] r \geqslant 5.5[/tex]
Step-by-step explanation:
12)
p + 2.1 = 18.9
p = 18.9 - 2.1
p = 16.8
13)
[tex]r \geqslant 5.5[/tex]
A line has a slope of 2 and y-intercept of -3/4 . Which if the following is an equation of the line ?
Answer: y = 2x - 3/4
Step-by-step explanation:
y = mx + b where m is the slope, and b is the y-intercept.
y = 2x - 3/4
I need help please help
Answer:
132.67 ft^2
Step-by-step explanation:
this sector's area equals the area of the whole circle divided by four;
the whole are = r x r x 3.14 = 13 x 13 x 3.14 = 530.66
the sector's area = 530.66/4 = 132.67 ft^2
How many solutions does this equation have? 3(2x − 7) = 3 Part B: What are the solutions to this equation? Show your work
CAN SOMEBODY HELP IM GIVING 12 POINTS
Carlos bikes 2 1/2 miles in 1/4 hours. At that rate, find the number of miles he would bike in 1 hour.
A. 5/8 miles
B. 2 3/4 miles
C. 5 miles
D. 10 miles
Answer: 10
Step-by-step explanation:
2.5 times 4
Help, my daughter is learning about finding lengths of unknown sides. I have no idea how to help on these three homework problems that are due by tomorrow. 4th grade
Can y’all help me on question four?!
Answer:
I believe the answer is B
Step-by-step explanation:
Work for E and F- 20/50=20X2=40 40 divided by 100 is 40%
50X2=100 and 40/100
Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis singles play. Among those challenges, 231 challenges were upheld with the call overturned. Assume that in general, 25% of the challenges are successfully upheld with the call overturned. a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231. b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
Answer:
a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Step-by-step explanation:
For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Significantly high:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.
25% of the challenges are successfully upheld with the call overturned.
This means that [tex]p = 0.25[/tex]
879 challenges
This meas that [tex]n = 879[/tex]
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.
This is P(X = 231). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209[/tex]
0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
The mean is:
[tex]E(X) = np = 879*0.25 = 219.75[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84[/tex]
[tex]219.75 + 2.5*12.84 = 251.85 > 231[/tex]
231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
What is the product?
One-third times 33.99
Answer:
11.33
Step-by-step explanation:
um I'm not that good at explaining but...
33/3=11
99/3=33
put it together
11.33
EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.
Answer:
7()=11
8()=42
I could barely see the answer for number 9 sorry :(
Step-by-step explanation:
the 7() is 2(3)+5
2(3)=6
6+5=11
Question (8)
c^2+3a x b
c(6)^2+ 3(3) x 2/3
36+9 x 2/3
36+6=42
Answer:
(7)=11
(8)=42
Step-by-step explanation:
here
Please find the square roots of the following complex number.
[tex]z = 81(\cos(\frac{4\pi}{9})+i\sin(\frac{4\pi}{9}))[/tex]
Hey there,
First, find the square root of the given equation.
[tex]\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))[/tex]
Keep in mind that this is solved for k = 0 and 1.
Second, simplify.
[tex]=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})[/tex]
Best of Luck!
Solve for a.
−10 = 1/5 a
Solve for n.
3(n – 8) = -12
Solve for x.
8 + 4x = -16
• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
part 1 of the word problem
Verbal Model:
part 2 of the word problem
Algebraic Equation:
please with all equations show your work.
Step-by-step explanation:
for the first one multiply the equation by 5
5(-10)=5(1/5)a
-50=a
2. 3(n-8)=-12
divide the equation by 3
(3(n-8))/3=-12/3
(n-8)=-4
add 8 to both sides
n-8+8=-4+8
n=4
3. 8+4x=-16
subtract the whole equation by 8
-8+4x=-16-8
4x=-24
divide the equation by 4
4x/4=-24/4
x=-6
4. 4 chicken sandwiches at $2.50 each, to find the value of all the values for all 4 sandwiches is 4(2.50)=10
and since there is only one hamburger you just need to find the value for the one burger which is x.
4(2.50)+1(x)=14.30
10+x=14.30
subtract the equation by 10
10-10+x=14.30-10
x=4.30
Hope this helps :)
Answer:
thanks Thankyou for points ty ty
what is the answer for this math problem ^
Answer: 12
Step-by-step explanation:
Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42
Answer:
The answer is answer D, x=42.
Step-by-step explanation:
To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.
Evaluate 4x – 3 for x = -2.
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
Given that triangle ABC ~ XYZ, AB= 4,XY=3,and XZ= 5, find AC
Answer:
[tex]AC = \frac{20}{3}[/tex]
Step-by-step explanation:
Given
[tex]AB = 4[/tex]
[tex]XY = 3[/tex]
[tex]XZ = 5[/tex]
Required
Find AC
ABC XYZ
To solve AC, we make use of the following equivalent ratios.
[tex]AB : AC = XY : XZ[/tex]
This gives:
[tex]4 : AC = 3 : 5[/tex]
Express as fraction
[tex]\frac{4 }{ AC }= \frac{3 }{ 5}[/tex]
Cross multiply
[tex]3 * AC = 4 * 5[/tex]
[tex]3 * AC = 20[/tex]
Solve for AC
[tex]AC = \frac{20}{3}[/tex]
In a recent survey, 15 skydivers said that they have never had a skydiving accident. This was 60% of the total number of skydivers that were surveyed. What was the total number of skydivers surveyed?
Answer:
total sky divers is 25
Step-by-step explanation:
60% = 15 skydivers
divide by 6 both sides
10% = 2.5
times by 4 both sides
40%=10
_________
60%+40%=100%
15+10=25
The 7% sales tax on a new $32,000 car.
Answer:
$34,240
Step-by-step explanation:
7% of $32,000 is $2,240
$32,000+$2,240=$34,240
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Answer: 12
Step-by-step explanation:
There are 108 inches in 9 feet and then you divide 108 by 9
A study conducted to measure the academic performance and attention span of teenagers reported that the mean time to distraction for 80 teenage boys working on an independent task was 6.2 min in the study with a sample standard deviation of 2.1 minutes. Is there convincing evidence that the average attention span for teenage boys is more than 5 minutes
Answer:
we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes
Step-by-step explanation:
H0 : μ ≤ 5
H1 : μ > 5
Sample mean, xbar = 6.2
Sample Standard deviation, s = 2.1
Sample size, n = 80
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(6.2 - 5) ÷ (2.1 / sqrt(80))
1.2 ÷ 0.2347871
Test statistic = 5.1110133
Testing with α = 0.05
Using Pvalue from a test score calculator :
Pvalue = < 0.00001
0.00001 < 0.05
Since,
Pvalue < α ; We reject H0
Hence, we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes.
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16}
Find the stationary points.
f(x) = x + 16/x
f '(x) = 1 - 16/x ²
Solve f '(x) = 0.
1 - 16/x ² = 0 → x ² = 16 → (x - 4) (x + 4) = 0
→ x = -4, x = 4
Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.
f (4) = 8
Check the value of f at the boundary of the domain.
f (0.2) = 401/5 = 80.2
f (16) = 17
Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.
Find the volume of the composite solid.
4 ft
3 ft
6 ft
13
6 ft
Answer:
156 ft³
Step-by-step explanation:
Volume of the composite solid = volume of the square prism + volume of the square pyramid
Volume of rectangular prism = a²h
a = 6 ft
h = 3 ft
Volume = 6²*3 = 36*3
Volume = 108 ft³
Volume of square pyramid = ⅓(a²*h)
a = 6 ft
h = 4 ft
Volume = ⅓(6²*4) = ⅓(36*4)
Volume = 48 ft³
Volume of the composite solid = 108 + 48 = 156 ft³
Help plsssjsnsnsnsnndndndndnfnfnfnnffnnccnncncncnfnf
9514 1404 393
Answer:
A) 3x +10y = 36
Step-by-step explanation:
The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...
x-intercept = 36/a
Then the coefficient 'a' is ...
a = 36/(x-intercept) = 36/12 = 3
Only one answer choice has an x-coefficient of 3 -- the correct one.
3x +10y = 36
Please answer this :/
Answer:
-60
Step-by-step explanation:
-45+s=-105
s=-105+45
s=-60
Write an equation of a line that has a slope of 3/4and passes through point (8,7)
please answer !! will give brainliest
Answer:
7.10 I think its 7.10
this is exactly what the question says:
"Solve the following system of equations."
-5x+3y=22
-6x+7y=23
I have to figure out x and y
Answer:
x = - 5, y = - 1
Step-by-step explanation:
Given the 2 equations
- 5x + 3y = 22 → (1)
- 6x + 7y = 23 → (2)
Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term
30x - 18y = - 132 → (3)
- 30x + 35y = 115 → (4)
Add (3) and (4) term by term to eliminate x
0 + 17y = - 17
17y = - 17 ( divide both sides by 17 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
- 5x + 3(- 1) = 22
- 5x - 3 = 22 ( add 3 to both sides )
- 5x = 25 ( divide both sides by - 5 )
x = - 5
Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'
The line for the graph x=1 is the line of reflection that reflects triangle ABC onto triangle A'B'C'.
You have to find the middle points between each pair of identical points and then join them.
The solution is, x = 1 will be the line of reflection.
What is reflection?In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.
here, we have,
from the given information , we get,
Coordinates of the vertex A → (-4, -6)
Coordinates of the vertex A' → (6, 6)
Since, y-coordinates are same opposite in notation,
Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.
And points A and A' will be equidistant from the line of reflection.
Midpoint between A and A' = (x1+x2/2) , (y1+y2/2)
= (-4+6 / 2 , -6+6 /2)
= (1, 0)
Therefore, x = 1 will be the line of reflection.
To learn more on reflection click:
brainly.com/question/15487308
#SPJ2
which pint on the number line best represents the squat root of 10
Answer:
e is ya answer hope you have a blessed day
Step-by-step explanation:
I will mark u brainalist
Answer:
C
Step-by-step explanation:
The cost of 5 notebooks (5x)
Less than (<)
The cost of 3 notebooks (3x)
Plus a 2 dollar pen (2)
All together: 5x < 3x + 2
Matches with the given expression.
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Answer:
560/9 or around 63 cubes
Step-by-step explanation:
2 2/3 -> 8/3
3 1/3 -> 10/3
2 1/3-> 7/3
7/3 x 8/3= 56/9
56/9 x 10/3 = 560/27
560/27 divided by 1/3
= 560/9