Answer:
P(A and B) = P(A) + P(B) - P(A or B)
= 0.6 + 0.45 - 0.66
= 0.39
The value of P(A AND B), given the probabilities of P(A), P(B), and P(A OR B), is found to be 0.39.
To find the probability of both events A and B occurring, we use the formula for the probability of the union of two events, which is P(A OR B) = P(A) + P(B) \'96 P(A AND B). We rearrange this formula to find P(A AND B) by subtracting P(A) and P(B) from P(A OR B):
P(A AND B) = P(A) + P(B) \'96 P(A OR B)
Substituting the given values:
P(A AND B) = 0.6 + 0.45 \'96 0.66 = 0.39
So, the probability of A and B occurring together, P(A AND B), is 0.39, which rounds to the nearest thousandth as required.
Judy is baking a round cake for her niece's birthday and the recipe requires her to coat the bottom of the pan with flour. If the cake pan has an 8-inch diameter, what is the area that she will need to cover with flour on the bottom of the pan?
Answer:
A = 50.24
Step-by-step explanation:
Diameter = 8
8/2 = 4
4 is the radius
A = πr2
A = 3.14 x 42
4 x 4 = 16
A = 3.14 x 16
A = 50.24
Answer:
A = 50.24
Step-by-step explanation:
Diameter = 8
8/2 = 4
4 is the radius
A = πr2
A = 3.14 x 42
4 x 4 = 16
A = 3.14 x 16
A = 50.24
Calculate the final displacement from 0 if an object first
moves 3 cm to the left and then 5 cm to the right.
The final displacement is cm to the
Answer:
final displacement = - 3cm +5cm = + 2 cm
ie 2 cm towards right
Royston plays a video game 7 times.His scores are 60,65,66,74,69,72 and 63.Which is the best measure of center of Royston's performance?
Answer:
The mean will be the best instrument to measure Royston's performance
Step-by-step explanation:
The mean will be the best measure Royston's performance will be mean as it will help to decide how well Royston performed all round
Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each. They had a coupon for $2.00 off their purchase. They split the remaining cost equally. Which expression could be used to find the amount each person paid?
A.
(
15
.
35
÷
3
)
+
(
2
.
25
×
3
)
−
2
B.
(
15
.
35
÷
3
)
+
2
.
25
×
(
3
−
2
)
C.
[
15
.
35
+
(
2
.
25
×
3
)
−
2
]
÷
3
D.
(
2
.
25
+
15
.
35
+
3
)
÷
3
Answer:
c
Step-by-step explanation:
Trust me i did the quiz and i got it right!
The correct expression is option (c) [15.35+(2.25 x 3)-2]÷3
ConceptFirstly we have to add watercolor paint box amount, brushes amount and then subtract coupon amount and lastly dividing first part by 3
What are steps to solve this problem?The steps are as follow:
Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each which means we have to add them as 15.35+(3 x 2.25), this is first partAfter that they had a coupon for $2.00 off their purchase which means this 2 needs to be subtract from first part as 15.35+(3 x 2.25)-2 this is second partThe bill need to be split between the 3 friends so that the answer of second part should be divided by 3 as [15.35+(3 x 2.25)]÷3So the final expression would be [15.35+(3 x 2.25)]÷3
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40 POINTS IF YOU ANSWER. YOU WILL GET BRAINLIEST!!! Plz need ASAP
Consider the following algorithm:
Step 1: Start with a list of the positive integers from 2 to 100, inclusive (meaning you include 2 and 100 in your list).
Step 2: For each n from 2 to 50, inclusive, do the following: Remove all multiples of n greater than n from the list.
Step 3: Output all of the numbers remaining in the list.
What is the tenth number in the list that gets output?
Answer:
29
Step-by-step explanation:
If all the multiples are removed, you'll be left with prime numbers only
2, 3, 5, 7, 11, 13, 17, 19, 23, 29..
The tenth prime no. is 29
Answer:
29
Step-by-step explanation:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
Delete all even numbers greater than 2 since they are multiples of 2
2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.
Now delete multiples of 3 greater than 3
2, 3, 5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 53, 55, 59, 61, 65, 67, 71, 73, 77, 79, 83, 85, , 89, 91, , 95, 97,
We can skip all even numbers since they we all ready taken care of by deleting the evens
Now delete multiples of 5 greater than 5
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 77, 79, 83, 89, 91, 97,
Now delete multiples of 7 greater than 7
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
There are no more numbers to delete since these are all prime numbers
29 is the 10th number in the list
A rectangular stained glass window is made up of identical triangular parts as pictured below.
36 inches
48 inches
What is the area of the shaded triangular section?
18 square inches
36 square inches
72 square inches
144 square inches
Answer:
The area of the shaded triangular section is 72 square inches
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The rectangular stained glass can be divided into 24 identical triangular parts
step 1
Determine the area of complete rectangle
[tex]A=(48)(36)=1,728\ in^2[/tex]
step 2
Divide the area of complete rectangle by 24
[tex]1,728/24=72\ in^2[/tex]
therefore
The area of the shaded triangular section is 72 square inches
Answer:
72 square inches
Step-by-step explanation:
The image is shown below.
The area of a rectangle is length times width.
Length is 48 and width is 36
Hence, area of whole rectangle is:
Area = 48 * 36 = 1728
Now, the whole figure is broken down into
24 congruent triangles
So, each triangle's area is:
1728/24 = 72 square inches
The shaded region is ONE of the triangles, so the shaded region area is:
72 square inches
How to solve 8z+6=7z+4
Answer:
z= -2
Step-by-step explanation:
Answer:
z = -2 (plz give branliest i need to level up)
Step-by-step explanation:
8z-7z +6 = 4
z = 4 -6
z = -2
F(x)= (x-2)(x-3)(x-5) simplify the right side. What is the equation?
Answer:
x³ - 10x² + 31x - 30
Step-by-step explanation:
Given
(x - 2)(x - 3)(x - 5) ← expand the second pair of factors using FOIL
= (x - 2)(x² - 8x + 15) ← distribute
= x³ - 8x² + 15x - 2x² + 16x - 30 ← collect like terms
= x³ - 10x² + 31x - 30
For which values of x is the expression undefined?
X – 9
——————
X^2+9x + 18
Answer:
-3, -6
Step-by-step explanation:
Any number of x that makes the bottom 0 makes the expression undefined.
Factor the polynomial in the denominator:
(x+3)(x+6)
Values of x that makes the expression undefined are -3 and -6
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Anna is shopping for a new backpack. The probability that the backpack is pink is 0.7, and the probability that it is canvas is 0.7. The probability that it is pink and canvas is 0.5. What is the probability that it is pink or canvas. A) 0.3 B) 0.5 C) 0.9 D) 1.4
The probability that the backpack is pink or canvas is option (c) 0.9.
The probability that the backpack is pink or canvas can be calculated using the formula for the probability of the union of two events:
P(A or B) = P(A) + P(B) - P(A and B).
According to the question,
A represents: the event that the backpack is pink
B represents: the event that the backpack is the canvas
Substituting the given probabilities, we get:
P(pink or canvas) = 0.7 + 0.7 - 0.5 = 0.9.
So, the probability that the backpack is pink or canvas is option (c) 0.9.
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Help worth 10 points!!
Answer:
the answer is B
Step-by-step explanation:
the line is a negative slope so therefore the answer must be negative, use the simple rise over run method to find the slope like normal! :)
We can find 2 points on the graph to solve for the slope; (-2, 0) and (2, -3)
Slope formula: y2-y1/x2-x1
= -3-0/2-(-2)
= -3/4
Therefore, the answer is B.
Best of Luck!
Sean and Kyle have 26 dollars between them. If Sean has 8 more dollars than Kyle, how much money does Kyle have, in dollars?
Answer: 9$
Step-by-step explanation:
kyle has x dollars. Sean has x+8 dollars. They equal 26. 2x+8=26
2x=18
x=9
Answer:
9
Step-by-step explanation:
The data set below shows the weights of some puppies, in pounds, at a kennel:
10, 10, 10, 11, 12, 12, 14, 14, 15
Which histogram represents the data set?
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 2, the bar for the second range goes to 4, the bar for the third range goes to 3.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 3, the bar for the second range goes to 4, the bar for the third range goes to 2.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 2, the bar for the second range goes to 3, the bar for the third range goes to 4.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4, the bar for the second range goes to 2, the bar for the third range goes to 3.
Answer:
D. A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4. The bar for the second range goes to 2, the bar for the third range goes to 3.
(i) Calculate the mean and standard deviation for these weekly incomes.
221 248 251 255 259 263 264 272 291 297 374
Answer:
Mean = 272.3
sd = 37.7
Step-by-step explanation:
Mean = sum/n
(221+248+251+255+259+263+264+272+291+297+374) ÷ 11
= 2995/11
= 272.2727273
Variance = (sum of x²)/n - mean²
[(221²+248²+251²+255²+259²+263²+264²+272²+291²+297²+374²)/11] - (2740/11)²
= (831067/11) - (2995/11)²
= 1419.107438
sd² = variance
sd = sqrt(1419.107438)
sd = 37.67104243
Find the missing side length assuming lines that appear to be tangent are tangent. Show work on piece of paper.
Answer:
20
Step-by-step explanation:
Since the line of length 16 is a tangent to the circle, then the angle between it and the radius is right.
? is the hypotenuse of the right triangle formed.
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
? = [tex]\sqrt{400}[/tex] = 20
whats the least common denominator of 2/5 1/2 and 3/4?
Answer:
20
Step-by-step explanation:
Final answer:
The least common denominator for the fractions 2/5, 1/2, and 3/4 is 20, as it is the smallest number that all denominators can divide into without leaving a remainder.
Explanation:
The least common denominator (LCD) of the fractions 2/5, 1/2, and 3/4 is the smallest number that can be divided evenly by each of the denominators (5, 2, and 4, respectively). To find the LCD, we can list out the multiples of each denominator until we find a common multiple.
The multiples of 5 are 5, 10, 15, 20, 25, and so on. The multiples of 2 are 2, 4, 6, 8, 10, 12, and so on. The multiples of 4 are 4, 8, 12, 16, 20, and so on. When we look at these lists, the smallest number that appears in all three lists is 20. Therefore, 20 is the least common denominator for the fractions 2/5, 1/2, and 3/4.
Find yhe difference 2/5 - 3/10
Which algebraic expression represents the phrase below?
Five times the difference of one-half of a number and two
05-(3x-2)
Answer:
[tex]5( \frac{1}{2}x - 2)[/tex]
please help!!! thank you
Answer:
28
Step-by-step explanation:
140 divided by 5 is 28
224 divided by 8 is 28
480 divided by 15 is 28
5 can go into 140, 28 times
8 can go into 224, 28 times
15 can go into 420, 28 times
28 is the relationship
A guinea pig weighs 1,130 grams.
What does the guinea pig weigh measured in kilograms?
The weight of the guinea pig measured in kilograms is A = 1.130 kg
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the measurement of unit be represented as A
Now , the weight of the guinea pig = 1,130 grams
where from the unit conversion
1000 grams = 1 kg
So , weight of the guinea pig measured in kilograms A = 1,130 grams / 1000
On simplifying , we get
The weight of the guinea pig measured in kilograms A = 1.130 kilograms
Therefore , the value of A is 1.13 kg
Hence , the measurement is A = 1.13 kg
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The guinea pig weight measured in kilograms is 1.13kgs.
To convert the weight of a guinea pig from grams to kilograms, you need to understand the relationship between these units:
In the metric system, 1 kilogram (kg) is equal to 1,000 grams (g).
Start with the weight of the guinea pig: 1,130 grams.
Use the conversion factor: 1,000 grams = 1 kilogram.
Divide the weight in grams by the conversion factor to find the weight in kilograms.
1,130 grams ÷ 1,000 = 1.13 kilograms.
which expression is equivilent to 3x/x+1 divided by x+1?
Step-by-step explanation:
[tex] \frac{3x}{x + 1} \div (x + 1) \\ \\ = \frac{3x}{x + 1} \times \frac{1}{(x + 1) } \\ \\ = \frac{3x}{ {(x + 1)}^{2} } [/tex]
"How are we ever going to build this bridge?" asks Omkar looking out across the raging river.
"Let's start by finding the distance to the big rock on the other side." Melissa replies. Moving 100100100 meters along the river, Melissa looks back and measures the angle between Omkar and the big rock: 33^\circ33
∘
33, degrees.
Melissa then instructs Omkar to measure the angle between Melissa and the big rock. From his vantage point, Omkar sees an angle of 98^\circ98
∘
98, degrees between Melissa and the big rock.
What is the distance across the river from Omkar to the big rock?
Do not round during your calculations. Round your final answer to the nearest meter.
Answer:
The distance across the river from Omkar to the big rock is 72 meters.
Step-by-step explanation:
Using the given information draw as triangle as shown below.
According to angle sum property, the sum of interior angles of a triangle is 180°.
In triangle ABC,
\angle A+\angle B+\angle C=180^{\circ}
98^{\circ}+33^{\circ}+\angle C=180^{\circ}
131^{\circ}+\angle C=180^{\circ}
\angle C=180^{\circ}-131^{\circ}=49^{\circ}
The measure of angle C is 49°.
Sine formula:
\frac{a}{\sin a}=\frac{b}{\sin b}=\frac{c}{\sin c}
Using sine formula in triangle ABC, we get
\frac{AC}{\sin B}=\frac{AB}{\sin C}
\frac{AC}{\sin 33^{\circ}}=\frac{100}{\sin 49^{\circ}}
AC=\frac{100}{\sin 49^{\circ}}\times \sin 33^{\circ}
AC=\frac{100}{0.7547}\cdot0.544639
AC=72.166
AC\approx 72
Therefore the distance across the river from Omkar to the big rock is 72 meters.
Answer:
72
Step-by-step explanation:
khan academy
Q3. Express 984. 6080 correct to
a. 2 decimal places _______________
b. 4 significant figures _____________
c. 3 decimal places ________________
d. the nearest hundredth___________ help
Answer:
a) 984.6080 = 984.61 to 2 decimal places
b) 984.6080 = 984.6 to 4 significant figures
c) 984.6080 = 984.608 to 3 decimal places
d) 984.6080 = 984.61 to the nearest hundredth
Step-by-step explanation:
Answers to the approximation questions above are supplied below.
First, you needs to know approximation processes:
Step 1: Keep the required number of digits in question.
Step 2: Before rounding off the remaining digits, look at the next digit to the required number of accuracy, if it is 5 or more, increase the last digit of the number you're keeping by 1, otherwise leave it as it is and round down to zero all the unwanted digits.
Similarly, there is need know the meaning of each degree of accuracy.
1. Decimal places: These are the number of digits occurring after the decimal point. E.g. a set of figures in 1 decimal place has only one digit after decimal point, i.e. 65.4. In the case of the question above,
a) 984.6080 = 984.61 to 2 decimal places
c) 984.6080 = 984.608 to 3 decimal places
2. Significant figures: Basically, these are nonzero digits in a set of figures. However, when zero is in the middle of nonzero digits, i.e, 3045, such zero is a significant figure. In the question above,
b) 984.6080 = 984.6 to 4 significant figures
3. Hundredth: Under place value system, hundredth of a set of figures is located at two digits after the decimal point. In other words, hundredth is same as two decimal places so the same approach is required for the two. Thus;
d) 984.6080 = 984.61 to the nearest hundredth
You can see that the result for both 2 decimal places and nearest hundredth are the same, that is, 984.6080 = 984.61 to 2 decimal places and to the nearest hundredth respectively.
Therefore, the answers are summarized thus:
a) 984.6080 = 984.61 to 2 decimal places
b) 984.6080 = 984.6 to 4 significant figures
c) 984.6080 = 984.608 to 3 decimal places
d) 984.6080 = 984.61 to the nearest hundredth
Answer:
984.6080
a. 2 decimal places
984.61
b. 4 significant figures
984.6
c. 3 decimal places
984.608
d. the nearest hundredth
984.61
PLZZZ HELP ME I NEED THE ANSWER RN!!!
Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
x = 55
The angles are complementary
Step-by-step explanation:
Since those angles add up to be 90:
2x-20 = 90
Add 20 to both sides:
2x = 110
x = 55
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12 points, help plz.
Here is a number machine.
Input x5
Output -3
a) work out the output when the input is 8
b) work out the input when the output is 42
Answer:
thought it would be 7.8, could be wrong not sure
Step-by-step explanation:
42 -3= 39/5=7.8
Step-by-step explanation:
ty for the free points tho
A rectangle has an area of 80cm² and a perimeter of 48cm.
Find the length and width of the rectangle.
Answer:
20,4
Step-by-step explanation:
Suppose that x, y are the the length and width
Area=x*y=80
Parameter=2(x+y)=48....x+y=24
Xy=80...x(24-x)=80...x=20,y=4
Answer:
20,4
Step-by-step explanation:
20+20+4+4=48
20*4=80
Which equation is equivalent to log (x+5) = 27
Answer:
(22+5)=27 or (x+y)=27
Step-by-step explanation:
Dr. Strauss has a bottle that contains 18 ounces of medicine. How many one-fourth ounce doses are
in 18 ounces?
There are doses.
Answer:72 IS THE ANSWER
Step-by-step explanation:
BRAINLIEST????? PLEASE
Number of one-fourth ounce doses are in 18 ounces is 72 doses
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What is Division?Division is a simple operation in which a number is divided.
Given,
Bottle contains 18 ounces of medicine
Therefore
Number of one-fourth ounce doses are in 18 ounces = [tex]\frac{18}{0.25}=72[/tex] doses
Hence, Number of one-fourth ounce doses are in 18 ounces is 72 doses
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Find the Radius of a circle when the height is 6 and the volume is 8
Answer:
1.13
Step-by-step explanation:
I need the first six terms of an=(n+3)^2
PLease and thank you :)
Answer:
Step-by-step explanation:
hello :
the first six terms of an=(n+3)^2 are :
a1= (1+3)² = 4² = 16
a2= (2+3)² = 5²=25
a3= (3+3)²=6²=36
a4= (4+3)²=7²=49
a5= (5+3)²=8²=64
a6= (6+3)²=9²=81