Answer: When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.
65+7=72
Final answer: B
Step-by-step explanation:
Answer:
2.93
Step-by-step explanation:
An object with a mass of 4.0 kg accelerates 2.0 m/s² when an unknown force is applied to it. What is the
amount of the force
Answer:
F=ma
Mass is in kg, so we have mass= 4.0kg
since we have a= 2.0 m/s² and m= 4.0kg
F=ma
F= 4.0 x 2.0
F= 8.0N
Rob eats a hamburger that has 415 calories for lunch. He also eats French fries that are 10 calories each. If Rob consumed 645 calories, how many French fries did he eat?
what is 8 ÷ 3/4 ? and 11 ÷ 2/5?
Answer:
10 2/3 = 10.6667
27 1/2 = 27.5
Step-by-step explanation:
8 ÷ 3/4
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{3}{4}[/tex]
Applying the fractions formula for division,
[tex]=\frac{8*4}{1*3}[/tex]
=[tex]\frac{32}{3}[/tex]
Simplifying 32/3, the answer is
[tex]10 \frac{2}{3}[/tex]
Decimal Form = 10.6667
=================================================================
11 ÷ 2/5
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{11}{1}[/tex] ÷ [tex]\frac{2}{5}[/tex]
Applying the fractions formula for division,
[tex]=\frac{11*5}{1*2}[/tex]
=[tex]\frac{55}{2}[/tex]
Simplifying 55/2, the answer is
27 1/2
Decimal Form = 27.5
[RevyBreeze]
22 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the park are 12 inches wide by 20 inches long. A rectangular area of the park for swing sets is 0.5 inches wide by 2 inches long on the scale drawing.
What is the actual length of the swing set area of the park?
Enter your answer in the box.
The actual length of the swing set area of the park is [blank]
feet.
Answer:
The dimensions of the park on the scale drawing are 12 inches by 20 inches
The actual dimensions are given as:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches
The above means that, the scale factor (k) is:
--- i.e. divide the scale measurement by the actual measurement
Evaluate both equations
So, we have:
Multiply the scale factor by the dimensions of the park, to get the scale measurement
Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches
Read more about scale measurements at:
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Step-by-step explanation:
A clearance rack is marked as 60% off the regular price to be taken at the register. If a jacket on the clearance rack is marked $239. 99, what will it ring up for at the register? a. $14. 40 b. $60. 00 c. $96. 00 d. $143. 99.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 239.99}}{\left( \cfrac{60}{100} \right)239.99}\implies 143.994~\hfill \underset{\textit{sale price}}{\stackrel{239.99-143.994}{\approx 96}}[/tex]
Amanda is looking out her window and spots a wild turkey in the yard. The turkey is 43 feet from the house at an angle of depression of 72 degrees. How high up is Amanda's window? show proof of it by making a drawing related to angle of elevation
Answer:
29 if I’m Wrong I’m sorry
Step-by-step explanation:
Write the point slope form of the equation of the line through the given point and slope
Step-by-step explanation:
the point-slope form in general is
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of a point, and m is the slope.
so, we have
y - -1 = 4/3 × (x - 3)
or simplified
y + 1 = 4/3 × (x - 3)
Answer:
[tex]y + 1 =\frac{4}{3} (x-3)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line contains the point (3, -1), and has a slope of [tex]\frac{4}{3}[/tex].
We want to write the equation of this line in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1 ,y_1)[/tex] is a point.
SolvingSince we are already given the slope and the point of the line, we can plug these values into the formula to get the equation.
Let's start with the slope; replace m with [tex]\frac{4}{3}[/tex] in the formula.
[tex]y-y_1=\frac{4}{3}(x-x_1)[/tex]
Now, replace 3 as [tex]x_1[/tex] and -1 as [tex]y_1[/tex]. Remember that the formula has subtraction in it.
[tex]y--1=\frac{4}{3} (x-3)[/tex]
This can be simplified to become:
[tex]y + 1 =\frac{4}{3} (x-3)[/tex]
Topic: writing the equation of the line
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need this by midnight please show your work :)
Answer:
See belowStep-by-step explanation:
Part 1P = $800r = 2% (since P > $500)I = $100t = ?Find t:
I = Prt100 = 800*0.02t0.16t = 1t = 1/0.16t = 6.25 yearsPart 2P = $100r = 1.5% (since P < $500)I = $50t = ?Find t:
I = Prt50 = 100*0.015t0.03t = 1t = 1/0.03t = 33.33 yearsPart 3P = $10000r = 3% (since P > $5000)I = $750t = ?Find t:
I = Prt750 = 10000*0.03t300t = 750t = 750/300t = 2.5 yearsFind the perimeter of the trapezoid
(5,1)( 5,-4) (1,1) (-2,-4)
Answer:
i cold not find the answer
Step-by-step explanation:
There are 10 teachers and 5 school guards in the school. The principal wants to form a 4-member safety committee for the upcoming Grade 10 night. In how many ways can the committee be formed if there are 3 teachers and 1 guard?
a. 35
b. 50
c. 125
d. 600
If angle 4 has a measure of 42° in the given diagram, what is the measure of angle 6?
Answer:
138 degrees
Step-by-step explanation:
its a cointerior angle so the angles add up to 180
so 180 - 42 = 138
Answer:
138°Step-by-step explanation:
If angle 4 has a measure of 42° in the given diagram, what is the measure of angle 6?
T is a flat angle (180°)
angle 4 = angle 8
angle 2 = angle 6
180 - 42 = 138°
One angle of a parallelogram measures 162°. What are the measures of the other three angles in the parallelogram?
Answer:
The important properties of parallelograms to know are:
-Opposite sides of parallelogram are equal (AB = DC).
-Opposite angles of parallelogram are equal (D = B).
-Consecutive angles in a parallelogram are supplementary (A + D = 180°).
-If one angle is 90 degrees, then all other angles are also 90 degrees.
FROM
SURAJ SAINI
Answer:
162,162,18,18
Step-by-step explanation:
each two opposite angles are equal
since there is an angle equals 162° then the opposite angle equals 162°
since the sum of all angles equal 360°
360-(162+162)= 36
so the sum of the other two opposite angle = 36 then the measure of one angle =36/2 =18°
after 18 years, Rajesh will be 4 times as old as he is now. His present age is.....
Answer:
his present age is 6??
Step-by-step explanation:
correct me if im wrong^^
please answer these questions my mom is really mad at me because I have a 73 in math and I need to higher my grade pls help
Answer:
1. D
2.A
Step-by-step explanation:
Hey, with question 1 you add all the numbers and divide them by the number of blue marbles. Then we simply simplify it.
Woth question 2 we divide 20 by 200 and simplify it.
what is
(588/2)9=n
a)n=294
b)n=2646
c)n=1323
Answer:
b)
Step-by-step explanation:
9 × (588/2)
= 9 × (294)
= 2646
Factorise fully 7y+84
Answer:
7 (y + 12)
Step-by-step explanation:
7 times y = 7y
7 times 12 = 84
7 (y + 12)
Answer:
y+12
Step-by-step explanation:
Divide 7y and 84 by 7
1. What is the measure of
3(5+6) distributave property
Answer:
3(5+6)
3x5 + 3x6
15 + 18
33
Need help with math! Margin of error
Answer:
See below
Step-by-step explanation:
Problem 4
[tex]H_0:p=0.40\\H_a:p>0.40[/tex]
Problem 5
[tex]H_0:p=0.42\\H_a:p<0.42[/tex]
Make sure to read the problems and translate it into math
PLS HELPP ASP
Whats the sum of
8 1/2 2 1/2
Answer:
11
Step-by-step explanation:
1/2 + 1/2 is 1
8 + 2 = 10
1 + 10 = 11
what is the slope of the line that passes through the points (-9,10) and (-13,13)
Answer:
-3/4
Step-by-step explanation:
The slope of line passes through the points (-9,10) and (-13,13) is -3/4.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
(-9,10) and (-13,13)
So, slope= (13 - 10)/ ( -13 + 9)
slope= 3 / (-4)
slope= -3/4
Hence, the slope of line is -3/4.
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the radius of a circle is 7 cm .the circle is divided into two equal parts .what is the perimeter of the semi circular part
Answer:
P = 35.98 cm
Step-by-step explanation:
The Perimeter of a shape is the distance around the outside of it. This semi-circle (half circle) has a straight part and the curved part. See image. The straight part is the diameter (distance through the center) it is double the radius that was given, 7 cm.
The circumference of a circle is the perimeter of the whole circle.
C = 2pi•r or pi•d
C = 2pi•7 = 14pi
But you only need half, so 14pi/2 is 7pi.
ADD the straight part and the curved part to get the whole distance around the shape
P = 14 + 7pi
P ~= 35.98 cm
See image
Researchers estimate that 21.5% of men and 17% of women smoke cigarettes.1
The rate of new cases in 2008 showed that men develop lung cancer more often than women (70.2 and 50.5 cases per 100,000 persons, respectively).2
Smoking, a main cause of small cell and non-small cell lung cancer, correlates to 90% and 80% of lung cancer deaths in men and women, respectively.3 That is, 90% of men who are diagnosed with lung cancer are active smokers, and 80% of women who are diagnosed with lung cancer are active smokers.
1. What answer do you predict? Why? (2 points)
2. Given what you know about probability, how can you determine if smoking and lung cancer are related? (2 points)
Analyze the Data:
3. What is the probability that a randomly chosen man is a smoker? (1 point)
4. What is the probability that a randomly chosen man will be diagnosed with lung cancer? (1 point)
5. Given that a man has lung cancer, what is the probability that he is a smoker? Write this event with the correct conditional notation. (2 points)
6. What is the probability that a randomly selected man will be a smoker and be diagnosed with lung cancer? (2 points)
7. For a randomly selected man, are the events diagnosed with lung cancer and smoker independent events? Support your answer with probabilities. (2 points)
Consider the Case for Women:
8. For a randomly selected woman, are the events diagnosed with lung cancer and smoker independent or conditional? Support your answer with probabilities. (4 points)
Making a Decision:
9. What can you conclude about smoking and lung cancer? Are they conditional or independent events? (2 point)
10. Some people who have never smoked develop lung cancer. Does this disprove the evidence? (1 point)
Answer: Given what i know about probability, you can determine if smoking and lung cancer are related by testing a group of smokers and non smokers and finding out the percent of each that develope lung cancer and the percent that dont for both
Step-by-step explanation:
Please help quick !
Answer:
1. Quadrant 2
2. Quadrant 3
Step-by-step explanation:
The quadrants are ordered in a 'c' pattern. The first quadrant has coordinates (x,y). The second quadrant has coordinates (-x,y). The third quadrant has coordinates (-x,-y). The fourth quadrant has coordinates (x,-y).
Answer:
quadrent 2 for question 1 ( negative x positive y) quadrant 3 for number 2 ( negative x and y)
Lily threw a ball. The balls equation that demonstrated its height and velocity is:
h(x) = -16x2 + 3x + 35
What was the initial height that she threw the ball from?
The initial height of the ball is the y-intercept of the function
The initial height she threw the ball from is 35
How to determine the initial heightThe function is given as:
[tex]h(x) = -16x^2 + 3x +35[/tex]
Set x = 0.
So, we have:
[tex]h(0) = -16 * 0^2 + 3*0 +35[/tex]
Evaluate the exponent
[tex]h(0) = -16 * 0 + 3 * 0 + 35[/tex]
Evaluate the products
[tex]h(0) = 0 + 0 + 35[/tex]
Evaluate the sum
[tex]h(0)= 35[/tex]
Hence, the initial height she threw the ball from is 35
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I NEER HELP ON KHAN ACADEMY PLS
A board game has players roll two 6-sided dice and subtract the numbers showing on the faces. The game
only looks at nonnegative differences. For example, if a player rolls a 4 and a 6, the difference is 2.
um
Here is the sample space showing the possible (equally likely) outcomes of a single roll:
uctio
2nd die
1st die
1
2
3
4
5
6
1
0
1
2
3
4
5
2
1
1:50
0
1
2
3
4
3
2
1
0
1
2
3
4
3
2
1
0
1
2
5
4
3
2
1
0
1
6
5
4
3
2
1
0
Which graph represents the theoretical probability distribution of the differences?
It can be deduced that the sample space is the collection of the set of possible outcomes in a random experiment.
What is a sample space?Your information is incomplete as the graphs aren't provided. Therefore, an overview of the sample space will be given.
A sample space simply means the collection of the set of possible outcomes in a random experiment.
It should be noted that a sample space is usually represented by the symbol S.
Also, the theoretical probability distribution states that the probability of occurence of an event will be equal to the number of the favorable outcomes divided by the total outcomes possible.
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My little brother spent $53 on comic books and magazines. He bought 17 items. If comic books cost $4 and magazines cost $3, how many of each item did my brother buy?
Answer:
comic books = 2
magazines = 15
Step-by-step explanation:
Let c = number of comic books bought
Let m = number of magazines bought
He bought 17 items, so
c + m = 17
Comic books cost $4 each and magazines cost $3 each.
He spent $53 on comic books and magazines, so
4c + 3m = 53
Rearrange c + m = 17 to make m the subject:
m = 17 - c
Substitute m = 17 - c into 4c + 3m = 53 and solve for c:
4c + 3(17 - c) = 53
⇒ 4c + 51 - 3c = 53
⇒ c = 2
Substitute c = 2 into m = 17 - c to and solve for m:
m = 17 - 2 = 15
Yesterday, there were q variants of a strain of bacteria. Today there are q^2 variants of the bacteria. There are 900 variants today. How many variants were present yesterday?
Answer:
30
Step-by-step explanation:
Since there are 900 today, and the variants square each day, we can take the square root of 900.
[tex]\sqrt{900} =30[/tex]
900 = q^2, so q = 30, so yesterday there were 30 variants
What is the area of this parallelogram?
A=1912 ft²
A = 42 ft²
A=6112 ft²
A=7134 ft²
Answer:
[tex]A=71\dfrac34 \ \ \textsf{ft}^2[/tex]
Step-by-step explanation:
Area = base x height
⇒ A = 10.25 x 7 = 71.75 = 71 3/4 ft²
Answer:
71 3/4 ft²
Step-by-step explanation:
the area is the product of the base (10 1/4) and height (7)
10.25 x 7 = 71 3/4 ft²
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box?
Answer:
1560
Step-by-step explanation:
25 x 8 x 10 - 22 x 5 x 4 = 2000 - 440 = 1560