Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]
Probability of at least one problem:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]
Find the probability that the calculator has a good case and good batteries.
No problems, so
[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is 0.84 or 84%
Calculation of the probability:Since
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
So, the probability is
= 1- (0.08 + 0.11 - 0.03)
= 1 - 0.16
= 0.84
Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%
learn more about probability here: https://brainly.com/question/16404410
please help. no body ever helps right away. i’ll mark brainlist and give thanks. geometry btw
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The angle of depression can be copied inside the triangle to the angle of elevation (at lower right). Then the side x can be seen to be adjacent to the angle.
The mnemonic SOH CAH TOA reminds you of the relations. Here, we have the hypotenuse and we want the adjacent angle. The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
Multiplying by 500 ft gives ...
x = (500 ft)cos(29°)
x ≈ 437.3 ft
_____
Additional comment
You have posted a number of problems that make use of this geometry. They are all solved the same way:
a) identify the desired measure and the given measures
b) using SOH CAH TOA, identify the relation applicable to those measures
c) fill in the given values in the equation
d) solve for the unknown
You may need to make use of what you know about angles and triangles in order to relate given angles to ones you need to use.
9/5 equal blank divided by blank
Answer:
9/5 = 1/5 divided by 1/9
Step-by-step explanation:
1/5 x 9/1 = 9/5
Find the value of x in this triangle
If a bicyclist travels 30 kilometers in two hours, her average speed is?
Answer:
Step-by-step explanation:
given triangle abc find the values of x and y in your final answer include all of your calculations
Answer:
your final answer include all of your calculations
Step-by-step explanation:
given triangle abc find the values of x and y in your final answer include all of your calculations
What is the slope of the line that passes through the points (-6, -7) and
(-24. - 7)? Write your answer in simplest form.
Answer:
-18/0 or 0
Step-by-step explanation:
In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?
Write the equation and your solution.
Answer:
i dk and stop callin me slime
Step-by-step explanation:
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Equation is [tex]w^2+4w-60=0[/tex]
Given :
a rectangular flower bed is designed to be 4 meters longer than it is wide
60 square meters are needed for the plants in the bed.
Let 'w' be the width of the flower bed
and 'L' be the length of the flower bed
Length is 4 meters longer than its width
Length L= w+4
We know that the area of rectangle = length times width
[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]
Given that the area is 60 square meters
Replace A by 60 and solve for 'w'
[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]
Width cannot be negative, so width = 6 meters
length = width +4 = 6+4=10 meters
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Learn more: brainly.com/question/19579804
Jenna painted l 1/8 of one side of a fence. Mark 3 one the other side of the same sex use greater equal or less to compare of the parts that they painted.
Answer:
?????
Step-by-step explanation:
Candidate B recieved 5 times as many votes as Candidate A. Whats the ratio of votes for Candidate B to votes for Candidate A?
can someone please help ? (:
Answer:sure what do you need
Step-by-step explanation:
n
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
help me please. Can somebody help.
Answer:
2.25Step-by-step explanation:
In order to find area, you just multiply height by width. A circle is even on all sides, so you do 1.5 times 1.5.
The Commutative Property states that the order of terms in an expression does not affect the outcome. Which of the following operations does the Commutative Property apply? select all that apply
A. addition
B. subtraction
C. multiplication
D. division
Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more silver cars would need to be added so the ratio of green cars to silver cars is 1 to 3?
Answer:
100 more silver.
Step-by-step explanation:
Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15
Answer:
yes
yes
no
yes
Step-by-step explanation:
How many terms will be in the expansion of (x-8y)^10?
There will be 10 – 1 = 9 terms in the expansion.
There will be 10 x 1 = 10 terms in the expansion.
There will be 10 + 1 = 10 terms in the expansion.
There will be 10 divided 1 = 11 terms in the expansion.
NEED THIS ASAP
Answer:
Step-by-step explanation:
There will be 10+1 = 11 terms in the expansion.
Pls help thanks sooo much
Answer:
Step-by-step explanation:
a. we do first the multiplication 3*4=12
-9-12=-21
b. you do parenthesis first
(-2)^3=-8
(-8)*(-4)= +32
now we have (32)-3=29
c. as you see in the red square we do multiplication first, than division
3*2=6
(-18)/6=-3
2+(-3)=-1
what is the solution to the equation x - 3.9 = 12.4
Answer:
16.8
Step-by-step explanation:
equation: x - 3.9 = 12.9
add 3.9 to 12.9
answer is 16.8
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported.
there are 598 goldfish divided equally among 23 fish tanks about how many goldfish are in each tank
what is 9+2 I WILL MARK BRAINIEST
Answer:
11 ! have a great dayy:) !
The distance from Josh's house to the mall is 3.5 miles. The distance from Meg's house to the mall is 19,000 feet. Who lives closer to the mall, Josh or Meg? Use numbers and words to explain your answer.
Answer:
12
Step-by-step explanation:
what is the coefficient of x in the equation?
y=x+4
Answer:
1
Step-by-step explanation:
When a variable does not have a visible coeffecient then the coefficient is 1. (Double check to make sure I'm correct)
y + 8 < -2. the inequality is... HELPP
Answer:
y<-10
Step-by-step explanation:
Answer:
y < -10
Step-by-step explanation:
y + 8 < -2
y < -2 -8
y < -10
3. Thomas argues that a quadrilateral with one pair sides congruent and the other pair
of sides parallel is always a parallelogram. What is wrong with Thomas' argument?
Step-by-step explanation:
one pair of side equal and other could be a trapezium as well...
he should have told that the two pair of sides are equal and parallel...
15 points for this question
Answer:
Step-by-step explanation:
3/3y=y/2y
3y=6
y=2
PLEASE HELP! GIVING PONTS!
Need help rn by 10:42am est
Answer:
1. 5/6 - 6/5 2. 1/8 - 8 3. 6 2/3 - 20/3 - 3/20
Step-by-step explanation:
In mathematics, the reciprocal, also known as multiplicative inverse, is the inverse of a number x. denoted as 1/x or x-1. This means that the product of a number x and its reciprocal yields 1
Hope this helps!!!
A dilation maps AB onto A'B'. If the coordinates of the
endpoints are
A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
what is the scale factor?
Answer:
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
[tex]A = (4,2)[/tex]
[tex]A' = (10,5)[/tex]
[tex]B = (10,6)[/tex]
[tex]B' = (25,15)[/tex]
Required
Determine the scale factor (k)
Scale factor is calculated using:
[tex]Old * k = New[/tex]
In this case, we have:
[tex]AB* k = A'B'[/tex]
Make k the subject
[tex]k = \frac{A'B'}{AB}[/tex]
Using point A and A'
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(10,5)}{(4,2)}[/tex]
Factorize the numerator
[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*1[/tex]
[tex]k = 2.5[/tex]
Mark buys 250 carnival tickets. He uses 30% of the tickets on food and 50% of the tickets on games and rides. How many tickets does Mark have left?
Answer:
50.
Step-by-step explanation:
50+30 =80%. 80% of 250 is 200. so he used 200 and now left with 50