Answer:
0.523
Step-by-step explanation:
Let :
New car = N
Sunroof = S
P(N) = 0.86
P(N n S) = 0.45
Recall :
P(A|B) = p(AnB) / p(B)
Therefore ;
P(S|N) = P(SnN) / p(N)
P(S|N) = 0.45 / 0.86
P(S|N) = 0.523
Which of the following trigonometric ratios are correct?
Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.
sinA = opposite/hypotenusecosA = adjacent/hypotenusetanA = opposite/adjacentNow that we know three basic ratio. Let's check each choices!
sin50° = d/cThis choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.
sin50° = c/xThis choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.
tan50° = d/cThis choice is correct! As ratio states, tanA = opposite/adjacent.
tan50° = x/cThis choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.
cos50° = x/dThis choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.
cos50° = c/xThis choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.
Answer
tan50° = d/ccos50° = c/xQuestions can be asked through comment.
Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.
Hope this helps, and Happy Learning! :)
laura has a 3-digit combination lock on her briefcase and has forgtten the combination. If she knows that the first digit is a 3, and the second digit is a prime, how many numbers must Laura try before the lock is sure to open?
Answer:
Laura needs to try 36 more times before the lock is sure to open.
Step-by-step explanation:
Alright, with a three digit lock, there are 9 possible numbers for each digit:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Since the first one is 3, lets move onto the second digit, which is prime.
Of the numbers between 1-9,
2, 3, 5, and 7 are prime.
With the last digit, it can be any number 1-9.
With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.
HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answer:
1/4 L
Step-by-step explanation:
2 1/2=10/4 10/4*3/4=30/16= 1 7/8
1 7/8=15/8 10/4*2=20/8 20/8-15/8=5/8
5/8-3/8=2/8 or 1/4 L
Answer: 1/4 L
In bottle 1/4 of chlorine solution is left in bottle.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.
And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.
Now,
Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8
= 5 / 2 × 1/4 - 3/8
= 5 / 8 - 2 / 8
= 1 / 4
Thus, In bottle 1/4 of chlorine solution is left in bottle.
Learn more about the mathematical expression visit:
https://brainly.com/question/3624808
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The complete question is this;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?
What is the factor of 25w6 + 35w3
Answer:
53(53+7)
Step-by-step explanation:
simplify 3+4(y-7)+5y
Answer:
9y-25
Step-by-step explanation:
Answer:
9y-25
Step-by-step explanation:
Math
Please someone just explain this to me right I will give you brainlest if you pit down the explanation on how you got that.
Answer: w = 2
Explanation: To find the slope of a line, we use the formula y = mx + b, where m is the slope and b is the y-intercept. Since there is a variable, w, we can use this formula: m = 7 + w.
We know that m, or the slope of the line, is 9. If we substitute the value of 9 into that equation... we should get 9 = 7 + w.
It's simple mathematics from here.
7 plus what is 9?? 2. That's your answer. If you need help with slope-intercept and rate of change WITHOUT variables (besides x and y, of course), feel free to let me know!!
Where did I get that 7?
Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.
We will be using this formula: y - y₂ = m(x - x₁)
This equation is useful when we know:
one complete coordinate point (x₁, y₁)and the slope of the line (m)and we want to find the other point.
(x₁, y₁) is the known point. In our example, it's (-7,-7).
(x, y), sometimes written as (x₂,y₂), is (-6, w) and represents the missing coordinate.
EXAMPLE (SEE IMAGE):
slope (m) = 3
y − y1 = m(x − x1)
We know m, and also know that (x1, y1) = (3,2), and so we have:
y − 2 = 3(x − 3)
That is a perfectly good answer, but we can simplify it a little:
y − 2 = 3x − 9
y = 3x − 9 + 2
y = 3x − 7
EXAMPLE IMAGE:
Jenny works at a video store. She earns
$6.25 an hour plus $6 for each
membership she sells.
Write a formula that will help Jenny
determine how much she will earn in one
week.
Let's let
a = total amount earned
h = hours worked in one week
b = number of memberships sold in one week
Answer:
You're answer would be 6.25h+6b=a
During a trip, a driver travelled a distance of 80km at an average speed of 60km/hr.He then changed his speed and travelled the remaining 20km of his journey at 30km/hr. What was the drivers average speed for the entire journey?
Show all working!!
Answer:
50 km/hr
Step-by-step explanation:
D = RT
Time for first part of trip = 80/60 = 4/3 hr.
Time for second part of trip = 20/30 = 2/3 hr.
total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.
Total distance = 100 km
Average rate of speed for entire trip = 100/2 = 50 km/hr
Find the area of the following triangle: 17 9 14 10 Note: Figure not to scale.
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
26x + 10x = 180°
36x = 180
x = 180/36
x = 5
estimate 12 8/9 - 10 1/6
Answer: 49/18
Step-by-step explanation:
the volume of the cylinder above is 2,119.5^m3 what is the radius of the cylinder
Answer:
7.5
Step-by-step explanation:
Pi * r^2 * 12 = 2119.5
r^2 = 56.25
r = sqrt(56.25) = 7.5
Larry and 3 friends went to a basketball game. They
paid $5.00 for each of their tickets and each bought a
bag of candy. If they spent a total of $28, how much
was each bag of candy?
Answer:5x3= 15
The tickets were $15 in total
28-15= 13
13:3= 4’3
Each bag of candy was $4’3
Step-by-step explanation:
a) (-6)* = -6° b) (-3) = -3$ c) 82 = (-8)
[tex]( 5 + 4 {)}^{2} = {5}^{2} + {4}^{2} [/tex]
Answer:
pues yo pienso que es 8 es que no se muy bien
what is 4.13 to the nearest tenth
Answer:
4.1
Step-by-step explanation:
Simone used 2 1/3 kilograms of flour to bake a cake . She used 4/5 kilograms of flour more to bake a second cake. How much flour did she use to bake the second cake?
Answer:
3.13 kilograms used for the second cake
Step-by-step explanation:
because the fractions have different denominators you have to multiply the denominators together to figure out what to change them too. but instead you can just figure out what the decimal for each is. 1/3 is 0.33, and 4/5 is 0.80. all you do is add these together to get 1.13. so now all you do is add 2+1.13 to get 3.13.
The product ( the result of a multiplication problem ) of 2 rational expressions is x+22x−3 with the restrictions x≠– 3, x≠32, x≠4 and x≠ 5. Find an expression that meets the criteria. You may leave your answer in factored form.
Answer:
x + 22x - 3 = 4 (5x) + 3 (x-1)
Step-by-step explanation:
x + 22x - 3
23x - 3
20x + 3x - 3
5x + 15x + 3x - 3
5x (1 + 3) + 3 ( x - 1)
4 (5x) + 3 (x-1)
What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
Given:
The height of a golf ball is represented by the equation:
[tex]y=x-0.04x^2[/tex]
To find:
The maximum height of of Anna's golf ball.
Solution:
We have,
[tex]y=x-0.04x^2[/tex]
Differentiate with respect to x.
[tex]y'=1-0.04(2x)[/tex]
[tex]y'=1-0.08x[/tex]
For critical values, [tex]y'=0[/tex].
[tex]1-0.08x=0[/tex]
[tex]-0.08x=-1[/tex]
[tex]x=\dfrac{-1}{-0.08}[/tex]
[tex]x=12.5[/tex]
Differentiate y' with respect to x.
[tex]y''=(0)-0.08(1)[/tex]
[tex]y''=-0.08[/tex]
Since double derivative is negative, the function is maximum at [tex]x=12.5[/tex].
Substitute [tex]x=12.5[/tex] in the given equation to get the maximum height.
[tex]y=(12.5)-0.04(12.5)^2[/tex]
[tex]y=12.5-0.04(156.25)[/tex]
[tex]y=12.5-6.25[/tex]
[tex]y=6.25[/tex]
Therefore, the maximum height of of Anna's golf ball is 6.25 units.
what is the median for this set of numbers 10,9,23,68,70,4,12,4
Answer:
11
Step-by-step explanation:
Also u can search up mean, median, mode calculator and type in any numbers u want and it will give u the mean, median, mode, range and more
Given AE ≈ EC, for what value of x is quadrilateral ABCD a parallelogram?
Answer:
X = 1/3 (to make it short) plz brainliest
Step-by-step explanation:
NEED HELP will give BRAINLY
Answer:
y=1x+8
Step-by-step explanation:
The best way to remember the formula is y=mx+b aka (your mom's ex bf)Just by looking at the slope you can automatically tell it's moving by one so in your formula, 'm' is the slope.Add 1x to replace 'm' or you can leave x alone because x is already one, your choice.b is the indication on where your slope started in the y-axis. In this case, by looking at the y-axis on the graph, the slope starts at 8 so that will be your b.Therefore, your answer is y=1x+8-2/5 + 1 1/3 find the sum
Answer: =14/15
Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please!
which one is it?
I'll mark brainliest if correct
Answer:
B
Step-by-step explanation:
Mark me as brainllest
Amal designed a silver necklace pendant in the shape of a cone. The slant height of the cone is 5 millimeters, and the radius of the cone is 3 millimeters. What is the volume of the silver pendant, rounded to the nearest tenth? Use 3.14 for π
O 37.7 mm³
O 113.0 mm³
O 47.1 mm³
O 141.3 mm³
Answer:
i dont know exacly but i know its not 141.3
Step-by-step explanation:
i put that answer and got it wrong
Answer:
37.7
Step-by-step explanation:
Find the measures of the exterior angles of the polygon.
Answer:
D : 125°,125°,55°,55°
Step-by-step explanation:
Finding the interior angles makes the question easier.
The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.
Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.
180°-55° = 125°
180°-125° = 55°
What is the total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts?. The price of nails is $1.30/lb, the price of washers is $0.80/lb, and the price of bolts is $2.50/lb.
Answer: $13.30
Step-by-step explanation:
price of nails = $1.30/lb
price of washers = $0.80/lb
price of bolts = $2.50/lb
The total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts will be:
= (2 × $1.30) + (4 × $0.80) + (3 × $2.50)
= $2.60 + $3.20 + $7.50
= $13.30
The total cost is $13.30
How many solutions does 3(4x - 8) = -24 + 12x have?
Answer:
Infinitely many solutions
Step-by-step explanation:
Simplify (2.2 x 10')= (1 104) and write the
answer in scientific notation.
a. 2.2 x 10°
b. 22
c. 2.2 x 1011
d. 2.2 x 10?
Answer:
2.2 × [tex]10^{11}[/tex]
Step-by-step explanation:
2.2 × [tex]10^{7}[/tex] + 1 × [tex]10^{4}[/tex]
2.2 × 1 = 2.2
7 + 4 = 11
Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined
Answer:
Its A
Step-by-step explanation:
Because if you add 3+5 that is 8 so 8/8
Is the point on the line ?
Answer:
i think the answer is no i used tge desmo graphing calculator and tht point wasnt on it