Final answer:
The probability that Kara's next roll is either a 3 or a 6 is 1/3.
Explanation:
The question asks about the probability of rolling either a 3 or a 6 on a six-sided die based on previous rolls. The previous rolls are as follows: 1, 3, 3, 4, 6, 2, 2, 5, 3, 4. It is important to understand that each roll of a die is an independent event, meaning the outcome of one roll does not affect the outcomes of any other rolls.
Therefore, the results of Kara's previous rolls do not impact the probability of future rolls.
To determine the probability of rolling either a 3 or a 6, we consider that a six-sided die has six equally likely outcomes.
The probability of rolling a specific number, like a 3 or a 6, is therefore 1/6.
Since these are two separate outcomes, we add their individual probabilities to determine the probability of rolling either a 3 or a 6:
Probability of rolling a 3 = 1/6
Probability of rolling a 6 = 1/6
Total probability of either a 3 or 6 = 1/6 + 1/6 = 2/6 or 1/3.
Thus, the probability that Kara's next roll is either a 3 or a 6 is 1/3.
Fabio has run five eighths of the race. What fraction of the race remains?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Fractionssince [tex]\frac{5}{8}[/tex] has been completed
the remaining would be :
[tex]\frac{8}{8} -\frac{5}{8}[/tex]
since denominators are the same
= [tex]\frac{8 - 5}{8} \\\\[/tex]
= [tex]\frac{3}{8}[/tex]
the fraction of the race that is remaining is 3/8
Bill is planning a right triangular garden. He marked two perpendicular sides that measure 24 and 25 feet. What is the length of the other side?
To find the length of the hypotenuse in Bill's right triangular garden, the Pythagorean theorem is used with the sides measuring 24 and 25 feet. The calculation shows that the hypotenuse is 35 feet.
Bill is planning a right triangular garden with two perpendicular sides measuring 24 and 25 feet. To find the length of the other side, which is the hypotenuse, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
The formula is expressed as:
c2 = a2 + b2
Plugging in the values provided:
c2 = 242 + 252
c2 = 576 + 625
c2 = 1201
To find the length of the hypotenuse, we take the square root of 1201:
c = [tex]\\(sqrt{1201}\\[/tex]
Since 1201 is a perfect square, c = 35
Therefore, the length of the hypotenuse of the garden is 35 feet.
1. Find the area and perimeter of the triangle.
16 cm
20.9 am
27 cm
Answer:
Perimeter = 63.9 cm.
Area = 166.96 cm^2 to the nearest hundredth.
Step-by-step explanation:
The perimeter = 16+20.9+27 = 63.9 cm.
To find the area you can use Heron's Formula.
Area = √ [ s(s-a)(s-b)(s-c)] where s = the semi-perimeter and a, b and c are the lengths of the 3 sides.
s = 63.9 / 2 = 31.95.
Area of the triangle = √ (31.95(31.95-16)(31.95-20.9)(31.95-27)]
= 166.96 cm^2.
solve: 43x = 42
a: x= -3/2
b: x= -2/3
c: x=2/3
d: x=3/2
Answer: C
it's C) 2/3
Answer:
C! X = 2/3
Step-by-step explanation:
Next part on edge is
(C) X=1
if a+b = 8, a²-b²=16, then ab is?
Answer:
a=5 and b=3
Step-by-step explanation:
a+b=8
okay, so the numbers that can make 8 are 4+4, 5+3, 6+2, and 7+1
Try 5+3
so plug them in
5+3=8
5*5=25
3*3=9
25-9=16
that's your answer
f(4) if f(x) = 3x - 1
Answer:
f(4) = 11
Step-by-step explanation:
To evaluate f(4) substitute x = 4 into f(x)
f(4) = 3(4) - 1 = 12 - 1 = 11
Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters.
In parallelogram RSTU, what is SU?
Answer:
SU = 26 meters
Step-by-step explanation:
Based on the definition of a parallelogram, we know that the diagonals bisect each other, so we know that:
UV = VS
x + 3 = 2x - 7
10 = x
Now that we know "x", we can find the length of SU:
SU = x + 3 + 2x - 7
SU = (10) + 3 + 2(10) - 7
SU = 13 + 20 - 7
SU = 33 - 7
SU = 26 meters
Answer:♣ = Vertical angles theorem
♦ =SAS
♠ =CPCTC
Step-by-step explanation:
at a local school the ratio of boys to girls was 8 to 9 if there were 117 girls how many boys were enrolled in the school?
i need help
The number of boys in the schools is 104.
Step-by-step explanation:
Given,
The ratio of boys and girls is 8:9
Number of girls = 117
Let us take,
Number of boys = 8x
Number of girls = 9x
To find the number of boys.
According to the problem,
9x = 117
or, x = [tex]\frac{117}{9}[/tex]
= 13
Hence, the number of boys = 13×8 = 104
PLEASE HELP ME!!!!!!!!
A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2). Find the length of CD.
A. 4 units
B. 6 units
C. 3 units
D. 5 units
The right answer is Option C: 3 units
Step-by-step explanation:
Given coordinates are;
A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2).
For finding length of CD, we will find the distance between C and D.
C(-5,1) and D(-5,4)
Here;
[tex]x_1=-5, y_1=1\\x_2=-5, y_2=4[/tex]
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]Distance=\sqrt{(-5+5)^2+(4-1)^2}\\Distance=\sqrt{(0)^2-(3)2}\\Distance=\sqrt{(3)^2}\\Distance = 3[/tex]
Therefore;
The length of CD is units.
The right answer is Option C: 3 units
Answer:
2
Step-by-step explanation:
The sum of 99 and a number is greater than 199
Answer:
Step-by-step explanation:
Let the number be n.
Then:
99 + n > 199
if you wish to solve this, subtract 99 from both sides, obtaining n > 100
During a week, for every 2 miles that Leigh runs, she walks 3 miles. How many miles will Leigh walk if she runs 10 miles?
Answer:
15
Step-by-step explanation:
2:3
X2 4:6
X5 10:15
Answer:
15 miles
Step-by-step explanation:
Divide 10 by 2, which equals 5. This gives you the amount of times she walks. Thus, if you multiply 3 miles times 5 (the amount of times she walks) it equals 15.
log 32 (16)= 5 4 exponential form
Answer: _(32)(16)=(4)/(5)
Step-by-step explanation:
Whats 33.33% into a decimal number
Answer:
0.3333
Step-by-step explanation:
To convert 33.33% to decimal, simply divide 33.33 by 100.
Answer: 0.3333
Step-by-step explanation:
33.33% = 33.33 / 100 = 0.3333.
Since 100 has 2 zeros, you count the decimal point in 33.33 forward twice.
What is the value of 1 3/4 divided by 2/3
We can use the Copy Dot Flip Method to solve this.
Steps to solve:
1 3/4 ÷ 2/3
~Turn 1 3/4 into an improper fraction
1 3/4 = 7/4
~Change the symbol and flip 2/3
7/4 * 3/2
~Multiply both numerators and denominators
21/8 or 2 5/8
Best of Luck!
Answer:
21/8 or 2 5/8
Step-by-step explanation:
1 3/4 ÷ 2/3
Convert to improper fractions
7/4 ÷ 2/3
Find the reciprocal of 2/3 and multiply
7/4 * 3/2
Multiply (numerator * numerator) / (denominator * denominator)
21/8
Convert to a mixed fraction
2 5/8
Hope this helps :)
A bag contains 2 red, 5 blue, and 3 green balls. A ball is chosen at random. The probability of choosing a red ball is 1/5. What is the probability of not choosing a red ball?
Answer:
4/5
Step-by-step explanation:
Since the total of all the balls are 2 + 5 + 3 = 10
The probability of choosing not a red ball is (5 + 3)/10 which is 8/10 or 4/5
The easier way is to go like this: 1 - 1/5 = 4/5
Answer: 4/5
Answer:
4/5
Step-by-step explanation:
If the probability of choosing a red ball is 1/5, then the probability of this not happening is 1 - 1/5, or 4/5.
10 is decreased by four times the quantity of 8-3. One is an added to that result.
HELPPPPP PLEASEEEEEE
CAN SOMEBODY PLEASE HELP ME!!!!!!!!!!
The answers to the blanks are
1. 600,
2. 120,
3. 120,
4. 180.
Explanation:
The fence means perimeter around the court. So a tennis court's perimeter is 600 feet fence. The perimeter of a rectangle is 2 times the sum of the rectangle's length and the rectangle's width.It is given that length equals 60 more than width i.e. l = w + 60, where l is the length of the court and w is the width of the court.The perimeter of a court = 600 = 2 (l + w) = 2l + 2w = 2 (w +60) + 2w, this becomes, 2w + 120 + 2w = 600; 4w = 480, w = 120.Since l = w + 60, l = 120 + 60 = 180. So length of a court is 180 feet and the width of a court is 120 feet.what two numbers multiply into (-24) and adds up to (-10)?
Two numbers multiply into (-24) and adds up to (-10) are 2 & -12
Step-by-step explanation:
Here we need to find two numbers , with the following info:
Let us assume that two numbers are x & y .
two numbers multiply into (-24):
Two numbers are x and y , and there multiply is -24 i.e.
⇒ [tex]x(y) = -24[/tex]
two numbers adds up to (-10):
Two numbers are x and y , and there addition is -10 i.e.
⇒ [tex]x+y = -10[/tex] . .............. (1)
Let's solve this :
We know that , [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]
⇒ [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]
⇒ [tex](-10)^2 = x^2 +y^2 +2(-24)[/tex]
⇒ [tex]100 = x^2 +y^2 -48[/tex]
⇒ [tex]x^2 +y^2 =148[/tex]
Now,
⇒ [tex](x-y)^2 = x^2 +y^2 -2xy[/tex]
⇒ [tex](x-y)^2 = (148) -2(-24)[/tex]
⇒ [tex](x-y)^2 = (148) +48=196 = 14^2[/tex]
⇒ [tex]x-y = 14[/tex] .......... (2)
Let's solve equation 1 & 2 by adding (1)+(2):
⇒ [tex](x+y)+(x-y) = -10 +14[/tex]
⇒ [tex]2x=4[/tex]
⇒ [tex]x=2[/tex]
Putting value of [tex]x=2[/tex] in [tex]x-y = 14[/tex] :
⇒ [tex]2-y = 14[/tex]
⇒ [tex]y = -12[/tex]
Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.
62% of what number is 186
Answer:
300
Step-by-step explanation:
Let the number be X
62/100 × X = 186
X = 186 × 100/62
X = 300
Answer: 62% of 300 is 186
Step-by-step explanation:
62% of x = 186
62/100 x = 186
0.62x=186
×=300
how do you work out how many 1/3 cup servings are in 6 cups of pecans
Answer:
18 servings
Step-by-step explanation:
Because 6 divided by 1/3 is the same as 6*3, we can just do it that way so it makes more sense.
6*3= 18
And there you have your answer!
Fill in the blank: in the table of exponential function,————————- by the same amount each time to get to the next number
Answer: multiplies
Explain: this is because exponentially is multiplication.
The table of exponential multiplies by the same amount each time to get to the next number.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
In another meaning, an exponential function is that function above which a variable x has imposed.
For example [tex]3^{x}[/tex] , [tex]7^{x}[/tex] like that.
Let a general exponential function [tex]a^{x}[/tex] where a is constant.
Let x = 1,2,3,4,5....
At x = 1 ⇒ a¹ = a
At x = 2 ⇒ a² = a × a = previous numebr × (a)
At x = 3 ⇒ a³ = a² × a = previous number × (a)
So,
It is clear that in exponential function each term multiplies the same amount each time to get to the next number.
For more about exponential function,
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how so you slove 4^2x-1 = 8^x+2 ?
Answer:
x = [tex]\frac{ln(16)}{ln(2)}[/tex]
Step-by-step explanation:
[tex]4^{2x-1} =8^{x+2}[/tex]
ln both sides like you would add the same number to both sides to keep the equation equivalent
[tex]ln4^{2x-1} = ln 8^{x+2}[/tex]
using log rules, exponents can be brought down as a constant multiplying ln
[tex](2x-1)ln(4) =(x+2)ln(8)[/tex]
use distributive property to remove parentheses
2xln(4) - ln(4) = xln(8) + 2ln(8)
isolate x
2xln(4) - xln(8) = 2ln(8) + ln(4)
rewrite the logs using log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex]) and the exponent rule stated above
xln([tex]4^{2}[/tex])-xln(8) = ln([tex]\frac{8^{2} }{4}[/tex])
factor out x
x(ln[tex]4^{2}[/tex]-ln8) = ln([tex]\frac{8^{2} }{4}[/tex])
again use log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex])
x* [tex]ln(\frac{4^{2} }{8}[/tex][tex])[/tex]= ln([tex]\frac{8^{2} }{4}[/tex])
now simplify the stuff inside the ln parentheses
x*ln(2) = ln(16)
x = [tex]\frac{ln(16)}{ln(2)}[/tex]
-8-(-3)-(+2)-(6) = please solve and show how.
Answer:
-9
Step-by-step explanation:
-8 - -3 equals -5, -5 - (+2) so just do -5 + 2 because the + 2 is in parenthesis and that means to do that first so that will equal -3, -3 - (6) = -9
what is the square root of -1? O -i O i O -1 O 1
Answer:
Option B, i
Step-by-step explanation:
sqrt(-1) is i
Answer: Option B, i
Answer: i got this square root(negative 1) =
i
Step-by-step explanation:
You draw two cards from a standard deck of 52 cards. What is the probability of drawing a club and then a diamond consecutively from the deck without replacement? A) 13 51 B) 13 105 Eliminate C) 13 204 D) 13 408
Answer:
There are 13 cards for each suit so the first fraction is 13/52 and the next one is 13/51 as there is no replacement for the first card you pulled.
Multiplying them you get: 13/52*13/51= 169/2652,
Then you divide both sides by 13 to get: 13/204
So, the answer is C.
I hope this helps!
The probability of drawing a club and then a diamond consecutively from the deck without replacement is 13/204.
Option C is the correct answer.
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.
We have,
Number of cards = 52
Number of clubs = 13
Number of diamonds = 13
Now,
The probability of drawing a club.
= 13/52
And,
The probability of drawing a diamond consecutively from the deck without replacement.
= 13/51
[ There will be only 51 cards in total since we are not replacing ]
Now,
The probability of drawing a club and then a diamond consecutively from the deck without replacement.
= 13/52 x 13/51
= 13/4 x 1/51
= 13/204
Thus,
13/204 is the probability of drawing a club and then a diamond consecutively from the deck without replacement.
Learn more about probability here:
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I need help with this question please with an explanation
ANSWER ASAP!!!!!!
The fish is 2.25 ft above the water surface.
Step-by-step explanation:
Step 1: Given expression for height of the fish above the water surface, y = -16x² + 12x where x is time in seconds. Find height after 0.375 seconds⇒ y = -16(0.375)² + 12 × 0.375
= -2.25 + 4.5
= 2.25 ft
35 more than 5 times a number, w, is -10, what is the number w?
Answer: w= -9
Step-by-step explanation:
Set up an equation, 5 times a number is 5w, and 35 more, means plus 35. All of this is equal to -10, so the equation will be:
5w+35=-10
Subtract 35 from both sides
5w=-45
Divide by 5 on both sides
w= -9
Hope this helped!
What is the volume of the pyramid?
Answer:
the answer for this is 80 m^3
Luis has $20.He buys 4 cans of tennis balls and gets $8 back as change .How much did one can of tennis balls cost?
Answer:
20-8 = 12 , he waste $12 if he got 4 cans 12 divide by 4 equal 3 so the one can cost $3
Step-by-step explanation: