Answer:
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
Step-by-step explanation:
Number of security doors = 3
Let P denote a successful pass and F denote a failed pass.
Sample space refers to a set of all possible outcomes.
If the first attempt to pass through a door is a failure, then the outcome is F.
If the second attempt to pass through a door is a failure, then the outcome is PF.
If the third attempt to pass through a door is a failure, then the outcome is PPF.
If the fourth attempt to pass through a door is a failure, then the outcome is PPP.
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
HELP WILL GIVE BRAINLIST
Answer:
471 square feet
Step-by-step explanation:
150
x3.14
471
11 + 5 + 52 x 12 – 10 =
(11 + 5) + 52 x (12 - 10) =
(-2)⁰+(-2)¹+(-2)²+-2)³
Answer:
-15
Step-by-step explanation:
-2 to the power 0 = -1
-2 to the power 1 = -2
-2² = -4
-2³ = -8
-1 + -2 + -4 + -8 = -15
At an electronic store, an air conditioner marked at 280$ was on sale at $259 what was the percentage of discount for the air conditioner?
Answer:
7.5%
Step-by-step explanation:
280 - 259 = 21
21 / 280 = 0.075 = 7.5%
How would the area of a triangle be affected if the base and height are dilated by 1/2
Answer:
The area would reduce to 1/4 the original area
Step-by-step explanation:
The area of a triangle = (1/2)(base)(height) or bh/2
If the triangle base and height were to reduce by one-half, the formula would change to:
Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4
ive just joined into a class from remote to now hybrid. we are doing how to find out if an ordered pair is a solution to the linear equation. i am so lost. please help.
Answer:
Step-by-step explanation:
You'll be given an equation that contains an x and a y.
You'll also be given an ordered pair. Plug the ordered pair into the equation and see if the equation is true.
For example:
Is (0,4) a solution to the equation 2x+3y = 15 ?
Plug the coordinates of (0,4) into the equation:
2·0 + 3·4 = 15
This simplifies to 12 = 15, which is obviously false, so (0,4) is not a solution to the equation.
Yuri thinks 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.
Answer:
Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).
Step-by-step explanation:
Root of a function:
If [tex]x^{\ast}[/tex] is a root of a function f(x), we have that [tex]f(x^{\ast}) = 0[/tex].
In this question.
We have to find [tex]q(\frac{3}{4})[/tex]. So
[tex]q(\frac{3}{4}) = 6(\frac{3}{4})^3 + 19(\frac{3}{4})^2 - 15(\frac{3}{4}) - 28[/tex]
[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{171}{16} - \frac{45}{4} - 28[/tex]
[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{684}{64} - \frac{720}{64} - \frac{1792}{64}[/tex]
[tex]q(\frac{3}{4}) \neq 0[/tex]
Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).
Could anyone Help?
Please
Answer:
a.2^(a+b+c)
b.2^(a+b+a-b)=2^(2a)or 4^a
c.2^(a+b+c)/2^(a+b)=2^(a+b+c-a-b)=2^c
The measure of an angle is 29º. What is the measure of its complementary angle?
help? please?
9514 1404 393
Answer:
61°
Step-by-step explanation:
An angle and its complement total 90°. Your angle of interest is ...
90° -29° = 61° . . . complementary angle to 29°
An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in firecontrol by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently.
Required:
a. What is the probability that all of the sprinklers will operate correctly in a fire?
b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?
c. What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98?
Answer:
0.028 ; 0.649 ; 4
Step-by-step explanation:
P(correctly activation), p = 0.7
Number of sprinklers, n = 10
q = 1 - p = 1 - 0.7 = 0.3
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability that all sprinklers activate correctly;
P(x = 10) = 10C10 * 0.7^10 * 0.3^0
P(x = 10) = 1 * 0.0282475249 * 1
P(x = 10) = 0.028
Probability that atleast 7 will operate correctly :
P(x ≥ 7) = p(x = 7) + p(x = 8) + p(x = 9) + p(x = 10)
P(x ≥ 7) = 0.267 + 0.233 + 0.121 + 0.028
P(x ≥ 7) = 0.649
3.)
Probability of atleast 1 operates :
P(x ≥ 1) = 0.98
1 - probability of 0 operates
1 - p(x =0)
P(x = 0) = nC0 * 0.7^0 * 0.3^n = 0.02
Recall :
nC0 = 1 ;
1 - p(x = 0)
P(x = 0) = 1 * 1 * 0.3^n = 0.02
0.3^n = 0.02 - - - (1)
0.3^3.24 = 0.02 - - - (2)
Comparing (1) and (2)
n = 3.24
Since, n cannot be a fraction ;
Then n is rounded to the next whole number = 4
Determine the value of x so that line ℓ will be parallel to line m.
Answer:
we have
m<2=m<7
4x+2=5(x-2)
4x+2=5x-10
10+2=5x-4x
x=12
How to write and graph at least 10 on a number line?
Answer:
x <= 10
<= means less or equal to
Step-by-step explanation:
At least means less or equal to
Sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 1
Problem 15
Answers:
Graph: Shown belowDomain: [3, infinity) Range: [2, infinity)Increasing interval: [2, infinity)Decreasing interval: NoneEach interval is interval notation.
----------------------------------
Explanation:
To get the graph, you can plug in various x values to find their paired y values, then draw a curve through those points. You can only plug in x values that are 3 or larger, as I'll mention later in the next paragraph. A quicker way to get the graph is to use technology. I used GeoGebra to generate the graphs below.
To get the domain, we need to ensure that the stuff under the square root is never negative. So we need to make the x-3 to be 0 or larger. Solving [tex]x-3 \ge 0[/tex] leads to [tex]x \ge 3[/tex] showing that 3 is the smallest value we can plug in. The domain is the interval from 3 to positive infinity. We can write that as [tex]3 \le x < \infty[/tex] which condenses to the interval notation [3, infinity). Note how the square bracket is used to include the endpoint.
The range can be determined from the graph. The lowest point is when y = 2, so the range consists of y outputs that are 2 or larger. We write the interval notation [2, infinity) to mean [tex]2 \le y < \infty[/tex]
The graph also helps us see where the curve is increasing or decreasing. In this case, the curve goes uphill as we move from left to right. Therefore, the graph is increasing over its entire domain. We write the domain as the answer here. Because the function increases over the entire domain, there's no room for the function to decrease.
===========================================================
Problem 16
Answers:
Graph: Shown belowDomain: [-1, infinity) Range: [-3, infinity)Increasing interval: [-1, infinity)Decreasing interval: None----------------------------------
Explanation:
We follow the same idea as the previous problem.
This time we want the x+1 under the square root to be 0 or larger, so [tex]x+1 \ge 0[/tex] solves to [tex]x \ge -1[/tex] telling us the smallest input allowed. The value of x can be this or larger.
Since this is an increasing function throughout the domain (similar to the previous problem), this means that the smallest domain value corresponds exactly to the smallest range value. Plugging in x = -1 leads to y = -3 which is the smallest possible output. As x gets bigger, so does y. The graph shows that the lowest point occurs when y = -3 to visually confirm this.
The increasing interval is over the entire domain, so we just write the domain again for the increasing interval. This means we write "none" for the decreasing interval.
Side note: The graphs are shown together on the same xy coordinate axis, but for your hw problem, you'll have the graphs on their own separate grid.
i really need help!!
Answer:
#8. 2
#9. 7
#10. 2
#11. 2
#12. 0
#13. -4
#14. 17
#15. 1
Answer:#8=2
#9=-11
#10=8
#11=2
#12=0
#14=17
#15=1
Step-by-step explanation: #8-13 (Subtract the numbers using a number line, than add the numbers using a integer chips, after that calculate the sum of the differences) #14-15( normal solving stepping for integers(recommend using a T1-84 Calculator)
Plz help me this is 7th grade math advance
Answer:
x=54 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
In this case, angle 126 and angle x are supplementary.
126+x=180
x=54 degrees.
Let me know if this helps!
What is the square root
Answer:
the square root is 2.2
Answer:
2.2
Step-by-step explanation:
make me brainestly
the guy who did the second answer wants beef
Two consecutive positive integers have a product of 6 what are the integers
separate the answer with a comma
Answer:
2,3
Step-by-step explanation:
2 and 3 are consecutive numbers, and when you multiply them, you get 6.
Hope this helps.
Have a nice day.
6.
5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 – 11r)
-
Answer:
0
Step-by-step explanation:
are given:
\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}
sin(x)−2
sin
2
(x)−sin(x)−2
To make it simpler and more clear, we can let u = sin(x). So:
\displaystyle \frac{u^2-u-2}{u-2}
u−2
u
2
−u−2
Now, it becomes obvious that we can factor, which produces:
\displaystyle =\frac{(u-2)(u+1)}{u-2}=
u−2
(u−2)(u+1)
Cancel:
=u+1=u+1
And substituting back:
=\sin(x)+1=sin(x)+1
Hence, our answer is A.
If ABCD is an isosceles trapezoid what is the value of X?
I need help!!! 10points!!!
I need the slope of this and to come up with an equation for it!! THANK U
Answer:
y = 37/5x + 9
Step-by-step explanation:
The points are not plotted on a single straight line, so I will find the general slope using the first and last point on the graph.
(5, 46) & (10, 83)
slope-intercept form: (y₂ - y₁) / (x₂ - x₁)
(83 - 46) / (10 - 5)
Simplify.
(37)/(5)
Your slope is 37/5.
y = 37/5x + b
To find b, plug in a point to x and y.
46 = 37/5(5) + b
46 = 37 + b
b = 9
Your equation is: y = 37/5x + 9
Check by plugging in the other point.
83 = 37/5(10) + 9
83 = 74 + 9
83 = 83
Your equation is correct.
Hope this helps!
Which equation is true when x = 6 a. 7x = 35 b. (8+3)x = 28 c. 3x – x + 2 = 14 d. 6x + 3x =225
Answer:
c
Step-by-step explanation:
3X-x+2=14
3*6-6+2=14
14=14
plz make me brainliest
If a force of 50 pounds is directed 30° from the horizontal, what vector represents this force?
Answer:
[tex]F_x=43.30\ N[/tex]
Step-by-step explanation:
Given that,
Force, F = 50 pounds
It is directed at 30° from the horizontal.
The force will be given by :
[tex]F_x=F\cos\theta\\\\=50\times \cos(30)\\\\=43.30\ N[/tex]
So, the required force is 43.30 N.
In a computer class, a group of 4 girls shared a computer and printer to print their math projects. The total time to print the project was 1/2 hour. Each girl needed the same amount of time to print her project. What part of an hour did it take each of the 4 girls to print her project?
Answer:
30
Step-by-step explanation:
cause i said so
if two different subjects are randomly selected, find the probability that they both had a headache
Answer:
Probability = 2/2
x (power1)+ 10 and x(power0)+10, when x =10
Answer:
20
11
Step-by-step explanation:
10^1+10 steps:
10^1+10
Calculate 10 to the power of 1 and get 10.
10+10
Add 10 and 10 to get 20.
20
10^0+10 steps:
10^0 +10
Calculate 10 to the power of 0 and get 1.
1+10
Add 1 and 10 to get 11.
11
What da answer I’d does not say
Let $f(x) = 4x - 7$, $g(x) = (x + 1)^2$, and $s(x) = f(x) + g(x)$. What is $s(3)$?
s(3)=4(3)-7+(3+1)^2
s(3)=12-7+16
s(3)=21
Answer:
21
Step-by-step explanation:
We find that s(x) = 4x - 7 + (x + 1)^2. Expanding, we get s(x) = x^2 + 6x - 6. Plugging in x = 3, we have s(3) = 3^2 + 6 x 3 - 6 = 21.
Alternatively, we can compute that f(3) = 5 and g(3) = 16, so s(3) = f(3) + g(3) = 21.
Which of the following could be the lengths of the sides of a 30-60-90 triangle?
Answer: D. 15 square root with 3 inside
Step-by-step explanation:
Just try it
Answer:
c
Step-by-step explanation:
The result of multiplying a number by 3 and subtracting 5 is the
same as doubling the number and adding 9. What is the number?
Answer:
n = 14
Step-by-step explanation:
let 'n' = the number
3n - 5 = 2n + 9
n - 5 = 9
n = 14
Answer:
14
Step-by-step explanation:
We have to replace the unknown quantity with "x" and work with it.
The result of multiplying a number by 3 and substracting 5
3x - 5
Is the same as
3x-5= (__)
Doubling the number and adding 9
3x- 5= 2x+9
Then we solve it like any equation
3x - 5 = 2x + 9
3x - 2x = 9 + 5
x = 14
Hope it was helpful ;)
Help with this question
Answer: 14/16
Step-by-step explanation:
Answer:
14/8 BUT Simplified even further = 7/8
Step-by-step explanation: