Answer:1/2
Step-by-step explanation:it’s a 50/50 chance
167 students are taking the SAT in my high school this morning,
and every student brought something to write with. 152
students brought a pencil and 84 students brought a pen. How
many students brought both pencil and pen?
Answer:
69
Step-by-step explanation:
167-152=15
This is the number of people that only brought pens
167-84=83
This is the number of people that only brought pencils.
167-15-83=69
This is the number of people that brought both pencils and pens.
There are 10 10 balls total of which 2 2 balls are purple. Leslie picks a ball at random, puts it back and picks a second ball at random. Find the probability of first picking a purple ball and then again a purple ball on the second draw.
Answer: 1/25
Step-by-step explanation:
Number of balls = 10
Number of purple balls = 2
Since it's probability with replacement,
Probability of picking a purple ball the first time = 2/10 = 1/5
Probability of picking a purple ball the second time = 2/10 = 1/5
Therefore, the probability of picking a purple ball both times will be:
= 1/5 × 1/5
= 1/25
These 3 please! Thank you!
Answer:
1. 102 ft^2 2. 33 ft^2 3. 112 ft ^2
Step-by-step explanation:
you have to find the area of each section of each shape, then add
Answer:
1.233 2.92.35 4.28474
Step-by-step explanation:
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!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
Step-by-step explanation:
Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.
2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.
Help please
Find the area of the following colored regions?
Answer:
Area = 77.1
Step-by-step explanation:
The are of a right triangle is
[tex] \frac{1}{2} \times base \times height[/tex]
our base and height are 6 for both triangles, so we shall find the area of one of the triangles...
[tex] \frac{1}{2} \times 6 \times 6 = 18[/tex]
multiply this by 2
[tex]2 \times 18 = 36[/tex]
Now find the area of the whole circle
[tex]area = \pi {r}^{2} [/tex]
our radius is 6, therefore:
[tex]area = \pi {6}^{2} = 113.1[/tex]
Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer
[tex]113.1 - 36 = 77.1[/tex]
Answer:
Exact Area = 36pi - 36 square meters
Approximate Area = 77.04 square meters (when using pi = 3.14)
================================================
Explanation:
The circle has radius r = 6 meters. The area of the circle is...
A = pi*r^2
A = pi*6^2
A = 36pi
This is the exact area in terms of pi.
Because we have two right triangles, and each right triangle has the same leg length, we can effectively use the SAS theorem to prove the triangles are congruent. Therefore, both of the triangles shown have the same area. One triangle is a rotated copy of the other.
The area of one of the triangles is base*height/2 = 6*6/2 = 18 square meters. That means two of them combine to an area of 18*2 = 36 square meters.
Subtract this from the area of the circle to get the green shaded area
green area = (circle area) - (triangle areas)
green area = (36pi) - (36)
green area = 36pi - 36
This is the exact area in terms of pi. If you want the approximate area, then replace pi with its approximate value. Let's say we go for pi = 3.14
That means,
green area = 36pi - 36
green area = 36*3.14 - 36
green area = 77.04 square meters approximately
Use more decimal digits in pi to get a more accurate area value.
write a rational function that has a vertical asymptote of x=5 and a horizontal asymptote of y=0
Answer:
[tex]y = \frac{1}{x - 5} [/tex]
which fraction is the smallest value
13/10
6/5
5/4
29/25
Answer:
29/25 because it's 1.16, which is smaller than 1.3 (13/10), 1.2 (6/5), and 1.25 (5/4)
Step-by-step explanation:
13/10 is 1.3
6/5 is 1.2
5/4 is 1.25
29/25 is 1.16
Can someone help please, this has been stressing me out
Find the Average Rate of Change between the values of [0, 1]
Answer:
The average rate of change cover the given interval is -6
Step-by-step explanation:
The average rate of change of a function over a range can be calculated by;
f(b) - f(a)/b-a
f(b) and f(a) refers to the respective y values of the x values a and b
Since we have a and b, we can get f(a) and f(b) from the plot
From the graph, since a = 0, f(a) is the y-intercept = 6
b = 1
f(b) = 0
So we have the slope as
= (0-6)/(1-0) = -6/1 = -6
3x-y=-5
5x+7y=29
Solve this for me using substitution pls
Answer:
(- 3/13, 56/13)
Step-by-step explanation:
See steps below:)
A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.53
B. 0.51
C. 0.49
D. 0.50
Answer:
0.50
Step-by-step explanation:
The sample proportion to be found for 98% confidence interval is
D. 0.50.
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.
Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
In statistics, confidence is another word for probability.
Given, Sample = (0.47, 0.53).
Confidence interval = 98%.
Therefore, The sample proportion is,
= (0.47 + 0.53)/2.
= 1/2.
= 0.5.
So, The sample proportion is 0.50.
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Piecework-defined function help??
Answer:
10
-1
1
2
Step-by-step explanation:
f(3) this one we use the second question (because the value that x is equal to is between 0 and 4)
3²+1=10
f(6) = -1 because this value is greater than 4
because the second equation has 0 inclusive we use this one for f(0)
0²+1=1
F(-3) for this one the answer is just two because x is less than 0
What is the area of the figure below?
Answer:
26 in²
Step-by-step explanation:
Area of a triangle
a = (1/2)base * height
base = 10 + 3 = 13
a = (1/2)(13) * 4
a = 26
please help me with this
What is the area of the trapezoid?
2 km
6 km
7 km
6 km
Answer:
504 km
Step-by-step explanation:
Please I need help!!!!
Answer:
y=1/4x-1
Step-by-step explanation:
So lets start off by going over what slope intecerp form is.
Slope intercept form looks like this:
y=mx+b
Lets go over the different values in this formula:
y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.
m is always teh slope. The slope is y/x, basically just the change in y over the change in x.
x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.
Lastly we have b. This is what y equals when x is 0.
Lets use this to make our slope intercept.
So we have:
y=mx+b
y and x are not going to have a written value, so we only need to determine m and b.
So lets find b.
B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)
The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).
So b will be: -1/-4, or just 1/4:
y=1/4x+b
Now lets find b.
Lets specificly lookat what y equals when x is 0 on the graph.
We can see the point is (0, -1)
So the y intercept is -1. This means b is equal to -1:
y=1/4x-1
This is your slope intercept!
Hope this helps! :D
Sorry for bad grammar, I am writting on a strange keyboard.
Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.
Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?
Answer:
[tex]C(h)=120*2^h[/tex]
Step-by-step explanation:
[tex]C(h)=120*2^h[/tex]
Doubling needs a base of 2, and the original number will need to be multiplied by two.
I don't know how to explain so I'm going to just give an example.
After an hour the original number doubles so 120*2
After two hours: 120*2*2
After 3 hours: 120*2*2*2
2*2 can also be written as [tex]2^2[/tex]
and 2*2*2 can be written as [tex]2^3[/tex]
So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.
Juan bought 5 cupcakes and 3 bearclaws for 45$. Lily bought 4 of the same cupcakes and 6 of the same bearclaws for 72$. What is the price of each item?
Answer:
Cup cakes= $3
Bear claws = $10
Step-by-step explanation:
Let the orice of cupcakes be x and the price of bear claws be y
5x+ 3y= 45
4x + 6y= 72
Multiply equation 1 by 4 and equation 2 by 5
20x + 12y= 180
20x + 30y= 360
-18y= -180
y= 10
Substitute 10 for y in equation 1
5x + 3(10)= 45
5x + 30= 45
5x = 45-30
5x= 15
x= 15/5
= 3
Hence the price of cup cakes is 3 and bear claws is $10
Help please I need help fr fr
Answer:
See explanation!
Step-by-step explanation:
A = Reflection
B= Rotation
C= Translation
D= Dilation
how do I solve this please help!
Answer:
9 x + 8 y = 10 (I)
y = -4x + 7 (II)
One way is to rewrite the second as
4x + y = 7
Now multiply this equation by 8
32 x + 8 y = 56
9 x + 8 y = 10 and now subtract the equations
23 x = 46 this gives x as 2
From equation (II) y = -4 (2) + 7 = -1
So our values are (2, -1)
Check:
(I) 9 x + 8 y = 10 9 * 2 - 8 = 10
(II) 4 x + y = 7 or 4 * 2 - 1 = 7
Or you can substitute equation (II) directly into equation (I)
hey what's the answer
[tex] \sqrt{66 - 4 + 2} [/tex]
(^∇^)ノ♪
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex] \sqrt{66 - 4 + 2} \\ = > \sqrt{62 + 2 } \\ = > \sqrt{64} \\ = > 8[/tex]
Answer:
[tex] \sqrt{66 - 4 + 2} [/tex]
[tex] \sqrt{64} [/tex]
[tex] \sqrt{8²} [/tex]=±8 is a required answer
what's the slope of (-2,-1) and (4,3)
Answer:
4/6
Step-by-step explanation:
→ Write the slope formula
(y₂ - y₁) ÷ (x₂ - x₁)
→ Substitute in the numbers
(3 - -1) ÷ (4 - -2)
→ Simplify
4/6
Answer:
m = 2/3
Step-by-step explanation:
Roy is in a hot air balloon that has just taken off and is floating above its launching point.
Dirk is standing on the ground, 7 meters away from the launching point. If Roy and Dirk are
10 meters apart, how high up is Roy? If necessary, round to the nearest tenth.
_____ meters
Please and thank you!
No links!!!!
Answer:
7.1 meters
Step-by-step explanation:
Use the pythagorean theory:
10 would be the hypotenuse
7 would be one of the legs
and x (or whatever variable you'd like) would be the other leg.
7^2+x^2=10^2
49+x^2=100
subtract 49 from both sides
x^2=51
take the square root on both sides
x is approximately 7.1
The ages of each of the basketball players on a team are given.
13, 13, 13, 14, 14, 17, 18, 18
What is the mean age of these players?
O A. 13
B. 14
C. 15
D. 18
Answer:
I'm pretty sure it's 13 sorry if I am wrong
Helppppppppp meeeeeeeeee
What is the volume (V) of the cylinder shown below ? Use 3.14 for π .
The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.
From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.
Here, radius = [tex]\frac{14}{2}[/tex]
= 7 mm
Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
We know that, the formula to find the volume of a cylinder is [tex]\pi r^2h[/tex].
Here, the volume of a cylinder = 3.14×7²×10
= 3.14×49×10
= 1538.6 cubic millimeter
Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.
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please help me !!! What's 10.8 / 6 = ? Estimate: 10.8 / 6 =
Answer:
10.8 / 6 = 1.8
Answer:
1.8
Step-by-step explanation:
10.8/6=10.8/6×10/10=108/6=1.8
2x - 2/2x - 3x + 2/4x
Answer: Solution
−
2
+
2
−
2
x
+
x
2
−2x+2x
Step-by-step explanation: Divide the numbers
2
−
1
⋅
2
2
⋅
−
3
+
2
4
⋅
2
x
Multiply the numbers
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
2
−
−
3
+
2
4
⋅
−
1
⋅
2
2
⋅
x
−
3
x
+
2
4
⋅
x
2x−1⋅22⋅x−3x+42⋅x
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
Divide the numbers
2
−
−
3
+
2
4
⋅
2
x
−
x
−
3
x
+
2
4
⋅
x
2x−x−3x+42⋅x
2
−
−
3
+
1
2
2
x
−
x
−
3
x
+
1
2
x
2x−x−3x+21x
1. calculate showingbyour working
a)
[tex] {2}^{5} [/tex]
b) 5 cubed
c)
[tex]( \frac{1}{4} ) ^{2} [/tex]
d)
[tex] \sqrt{900} [/tex]
Answer:
a) [tex]32[/tex]
b) [tex]25[/tex]
[tex]c) \: \frac{1}{16} [/tex]d) [tex]30[/tex]
Step-by-step explanation:
[tex]a) \: {2}^{5} [/tex][tex](2 \times 2 \times 2 \times 2 \times 2 \times)[/tex]
[tex]32[/tex]
[tex]b) \: {5}^{3} [/tex][tex](5 \times 5 × 5)[/tex]
[tex]125[/tex]
[tex]c) \: ( \frac{1}{4} {)}^{2} [/tex][tex] \frac{ {1}^{2} }{ {4}^{2} } [/tex][tex] \frac{(1 \times 1)}{(4 \times 4)} [/tex][tex] \frac{1}{16} [/tex][tex]d) \: \sqrt{900} [/tex][tex] \sqrt{ {30}^{2} } [/tex]
[tex]30[/tex]
Hope it is helpful....Look at the table and find the probability that a randomly chosen student is a light girl.
Answer:
18/80 = 9/40
Step-by-step explanation: