The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
a.
There are 20 even numbers between 1 and 40.
The probability of drawing an even number.
= 20/40
= 1/2
b.
There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).
The probability of drawing a card that can be divided by 5.
= 8/40
= 1/5
c.
There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).
The probability of drawing a card that can be divided by 10.
= 4/40
= 1/10
Thus,
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
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When Fritz drives to work his trip takes 35 minutes, but when he takes the train it takes 15 minutes. Find the distance Fritz travels to work if the train travels an average of 80 miles per hour faster than his driving. Assume that the train travels the same distance as the car.
Answer:
35 miles
Step-by-step explanation:
Let's say Fritz travels at x miles per hour via train and y miles per hour via car.
(speed of car) + 80 miles per hour = speed of train
y + 80 = x
Speed * time = distance
Speed of train * time of train = distance = speed of car * time of car
x * 15 minutes = y * 35 minutes
convert minutes to hours since miles per hour is in terms of hours
60 minutes = 1 hour
15 minutes = ? hours
multiply 15 minutes by 1 hour/60 minutes. since 60 minutes = 1 hour, we can divide both sides by 60 minutes to get 1 hour/60 minutes = 1. we can always multiply by 1, so we do that here. note that the minutes are in the denominator so the 15 minutes cross out with the 60 minutes, leaving us with only hours as our unit.
15 minutes = 15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15/60 hours = 3/12 hours
similarly, 35 minutes * 1 hour/60 minutes = 35/60 hours = 7/12 hours
x * 15 minutes = y * 35 minutes
x * 3/12 hours = y * 7/12 hours
plug y+80 in for x
(y+80) * 3/12 hours = y * 7/12 hours
(3/12) * y + 20 = (7/12) * y
subtract (3/12) * y from both sides to isolate the variable (y) and its coefficient
20 = (4/12) * y
multiply both sides by 12/4 (the inverse of the coefficient) to get rid of the coefficient
20*12/4 = y = 60
y = 60 miles per hour
x = y + 80 = 140 miles per hour
distance = x * 3/12 hours = 140 miles/hour * 3/12 hours= 35 miles
Which equation describes this line?
Answer:
y=2x+4
Step-by-step explanation:
**Your line isn't clearly shown on point with the grid**
If you want this in the slope-intercept form then here it is:
Slope-intercept formula: y=mx+b
Your coordinates: (-3,2) and (1,10)
To find the slope (which is the "m" in the formula) you need to do this formula:
y2 - y1 / x2 - x1 =
(The 2's and 1's should be subscript)
10-2/1-(-3) = 8/4
8/4=2
The slope should be 2
Formula right now: y=2x+b
You need to find the y-intercept:
That should be a point on the y-axis.
(0,n) **N is used for a variable since we don't have a number yet.
In your coordinate plane, (0,4) is your y-intercept.
When writing the y-intercept in the formula don't write a coordinate write the "y"
Formula: y=2x+4
What is the final answer
Answer:
Step-by-step explanation:
I just came to the realization that your probably cheating. Don't cheat, it doesn't help you now or in the long run. Nevertheless, I have already outlined the method like three times. So, at the very least, attempt this question hoenstly.
Which is the smallest fraction?
A. 1/3
B. 1/6
C. 1/4
D. 1/7
Answer:
its 1/7 because if you have a pizza and you cut it in 3 pieces, it will be bigger than a pizza cut in 4 pieces.
So basically if you buy a pizza and you were originally going to cut it in 3 pieces, but then one of your other friend wants a piece, so now you will have to cut it into 4 pieces which will give you a smaller piece and the same way cutting a pizza into 7 pieces will make it way smaller
so its D
but if you are asking from another point of view than I guess it A
Step-by-step explanation:
Please can I have brainliest
Calculate the circumference and area of this circle.
Can someone give a good explanation?
Answer:
$2.3
Step-by-step explanation:
they bought hot dogs for $6.35
and french fries for. $3.90. +
they got two mugs of tea $1.40
the tax fee. $1.05
=$12.7
:.,total amount $15.00-$12.7=$2.3 remaining
HELP! WILL GIVE BRAINLEST! In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what is the length of the side adjacent to angle β. Note: You will also need to use the Pythagorean theorem to answer this question.
16.7 cm
5.1 cm
11.4 cm
4.1 cm
Applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.
What is the Sine Ratio?The sine ratio is given as, sin ∅ = opposite/hypotenuse.
Given the following in a right triangle:
∅ = β sin(β) = 0.292Hypotenuse = 17.5 cmFind the opposite side by applying the sine ratio:
0.292 = opp/17.5
Opposite = (0.292)(17.5)
Opposite = 5.11
Using the Pythagorean theorem, we have:
Adjacent length = √(17.5² - 5.11²)
Adjacent length = 16.7 cm.
Thus, applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.
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PLEASE HURRY what is the mode of the data represented in this line plot?
Answer:
2
Step-by-step explanation:
mode of a dot plot is the value that appears most often in a set of data
Answer:
2 is the mode of this data
Math problem 50 points
Answer:
Start with 1st one
Step-by-step explanation:
1-1st one
2-3rd one
3-7th one
4-2nd one
5-6th one
6-4th one
7-5th one
8-8th one
Answer: u said 50
Step-by-step explanation: acd
PLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!
Answer:
For number 3 it going to be
13.3 mm 16 mm 20.5 mm V = mm 3
And S.A. = A mm? %3D
For number 2 it going to be V= 955.04 sq. yd
TOTAL 428.04 sq.yd
Step-by-step explanation:
Sorry i couldnt do the others but hope this helps with some of the answers
i only did No(2) and No(3)
Ben is climbing a tree with a lot of branches. His height off the ground at time $t$ is $2t^2-5t+29$ feet. To the nearest foot, what will his minimum height be?
Using the vertex of the quadratic equation, it is found that his minimum height will be of 25.875 feet.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the equation is:
h(t) = 2t² - 5t + 29.
Hence the coefficients are a = 2 > 0, b = -5, c = 29, and the minimum height in feet is given by:
[tex]y_v = -\frac{(-5)^2 - 4(2)(29)}{4(2)} = 25.875[/tex]
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Ben minimum height above the ground when climbing the tree would be 25.875 feet
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
h(t) = 2t² - 5t + 29
The minimum height is at h'(t) = 0, hence:
h'(t) = 4t - 5
4t - 5 = 0
t = 5/4
h(5/4) = 2(5/4)² - 5(5/4) + 29 = 25.875 feet
Ben minimum height above the ground when climbing the tree would be 25.875 feet
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I need help on my math homework
Instructions: Find the missing side. Round your answer to the nearest tenth
Answer:
x = 39.6
Step-by-step explanation:
[tex]cos49 = \frac{26}{x} \\ \\ x = 39.6[/tex]
Robin has 10 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books be
arranged on the shelf?
The number of arrangements of the books is an illustration of permutation
The books can be arranged in 5040 ways
How to determine the number of arrangements?The given parameters are:
Total books, n = 10Books to arrange, r = 4The number of arrangements is calculated as:
Ways = nPr
Substitute the given values
Ways = ¹⁰P₄
Apply the permutation formula
Ways = 10!/(10 - 4)!
Evaluate the quotient
Ways = 5040
Hence, the books can be arranged in 5040 ways
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Simplify the expression –2(p 4)2 – 3 5p. what is the simplified expression in standard form? –2p2 – 11p – 35 2p2 21p 29 –2p2 13p 13 4p2 37p – 67
The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
What is the simplified form of an expression?Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.
The expression which is need to be simplified is,
[tex]-2(p +4)^2 - 3 +5p[/tex]
First of all, open the brackets, using the formula of whole square,
[tex]-2(p^2 +16+8p) - 3 +5p\\-2p^2-32-16p-3+5p\\-2p^2-11p-35[/tex]
Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
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Answer: A
Step-by-step explanation:
I did it on edge
A rectangular prism has a height of 4.5 cm, length of 7.2 cm and a width of 9 cm. Joe is going to cover the sides only. How much paper will he need?
Answer:
210.6cm^2
Step-by-step explanation:
1) In the diagram below the shape of the rectangular prism is shown:
where L=7.2, W= 9 and H=4.5
In order to cover only the sides, the area of the front and back faces and the side faces should be added, the top and bottom faces should not be
so the area of front and back faces= 2 (length *width) (multiply by 2 to account for both the front and back face, instead of just one face)
=2(7.2)(9)= 129.6 cm^2
area of side faces: 2(W)(H)=2*9*4.5=81cm^2
129.6cm^2+81cm^2=210.6 cm^2
7) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y= -3/2x+2
B: y= -1/2x-2
Step-by-step explanation:
slope intercept form
y=mx+b
I NEEED HELP PLEASEE
Answer:
D
Step-by-step explanation:
Additive Inverse Property is the idea that you are adding the same number but positives and negatives of it. So, the correct answer is D.
Hope that helps!
Gene has a gasoline budget of $300 per month. He uses an average of $7 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving? A. y = 300 + 7x B. y = 7x - 300 C. y = 300x - 7 D. y = 300 - 7x
Answer:
y=300-7x
Step-by-step explanation:
since monthly budget for gasoline=$300
Per day, he uses an average of $7 of gasoline
after x days he will use $7x of gasoline.
remaining amount after x days of driving= 300-7x
the equation will be y= 300-7x
How many solutions exist for the given equation? 3(x 10) 6 = 3(x 12) zero one two infinitely many
The given equation 3(x+10)+6=3(x+12) has infinitely many solutions.
We have the following expression
[tex]3(x+10)+6=3(x+12)[/tex]
We must rewrite both sides of the equation.
For this, we use the distributive property.
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
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Answer:
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
Step-by-step explanation:
The box is 12
inches wide, 18 inches
long, and has a volume
of 2,160 inches cubed.
What is the height?
*Don't forget units.
Answer:
10 inches
Step-by-step explanation:
Hope it helps ......
If you answer this TRUTHFULLY!!! THAT MEANS NO BOTS AND NO TROLLS!!. I WILL GIVE YOU 5 STARS THANK YOU, THANK YOU ON YOUR ACC ASWELL!!! AND....100 POINTS!!!!
Answer:
pay ($), y
Step-by-step explanation:
Well, in the number of hours you work determines your pay in this case. So, pay is dependent of the number of hours.
And, the dependent variable is usually represented by y in a x,y graph.
WILL AWARD BRAINLIEST!!! POLYNOMIALS
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
1.
[tex]kx^{2} + kx + \frac{25}{4}[/tex]
All you need to do is factor out [tex] \frac{1}{4}[/tex]
=[tex] \frac{4kx^{2 +} + 4kx + 25 } {4} [/tex]
if you evaluate it it will become
[tex]kx^{2} + kx + \frac{25}{4} [/tex]
────────────────────
2.
[tex] \frac{3y² + 1}{4} - \frac{y}{2} = 6[/tex]
[tex]3y² + 1 - 2y = 24[/tex]
[tex]3y² - 23 - 2y = 0[/tex]
[tex]3y² - 2y - 23 = 0[/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}[/tex]
[tex]y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}[/tex]
[tex]y=\frac{2±2\sqrt{70}}{6}[/tex]
[tex]y=\frac{2\sqrt{70}+2}{6}[/tex]
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
[tex]y=\frac{2-2\sqrt{70}}{6}[/tex]
[tex]y=\frac{1-\sqrt{70}}{3}[/tex]
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
So the answer is
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
════════════════════
Explanation:
#Carry on learning
Help!! I need to pass this class by the end of this week!!!!
Answer:
It is -1 because it is on the x-axisStep-by-step explanation:
need some help with the question in the image
Cheers
2,700 yan po ang answer hehe tama yan
The daily number of miles driven by a bus driver during a week are 50, 65, 78, 54, 53, 61, 79, and 78.
Which statement is true?
Both the mean and mode are appropriate measures of center.
Both the median and mode are appropriate measures of center.
Both the mean and median are appropriate measures of center.
The mode is the only appropriate measure of center.
Answer: both median and mean
Step-by-step explanation:
Answer:
C Both the mean and median are appropriate measures of center.
Step-by-step explanation:
Serafina put a total of 42 cupcakes into packages. She put 6 cupcakes into each package. What is the total number of packages Serafina used for these cupcakes?
Answer:
7
Step-by-step explanation:
42 divided by 6 = 7 packages
Find the volume of the cone, round your answer to the nearest tenth
Answer:
V = 167.55 rounding would be v=168
Step-by-step explanation:
what two numbers add to make -25 but multiply to make 150
Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be? A) 0.96 inches BY) 9.6 inches X) 16 inches D) 48 inches
Answer:
9.6in
Step-by-step explanation:
I took the test on USATestPrep