Answer:
1/4
Step-by-step explanation:
The entire sample space for two fair dice is :
Number of faces^2 = 6² = 36
Number of odd sums given that number on red dice is larger than green dice ;
Using the sample space we can count the number of odd sums where the red dice has a larger value than the green dollar dice = 9
Total sample space = 36
Hence, the probability that the sum of the numbers on the two dice is an odd number given that the number that shows on the red die is larger than the number that shows on the green die will be :
(odd sum) / Sample space
9 / 36
= 1/4
add this
(9j+6)+(9j+9)
Answer:
18j+15
Step-by-step explanation:
Answer:
18 j+15
(9j+6)+(9 j+9) 9j+9j +9+9 = 18 j+15
Solve for m.
13 =2m+513=2m+5
Answer:
m=13
Step-by-step explanation:
Many Australian highways have a speed of 110 kilometers per hour. Convert this to miles per hour
Answer:
Step-by-step explanation:
It's a little over 60 mph
110 km = 110 km * 0.6 miles / km = 66 miles
110 km/hour = 66 miles / hour
There are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6 (if you don't mind combining things like gummy bears and Oreo crumbles). How many possible ways are there to choose your toppings.
The number of ways in which the selection of toppings can be made are 36.
What is combination? What is a mathematical function, equation and expression?combination : combination is a combination of [n] things taken [k] at a time without repetition. Mathematically -[tex]$_n C_r=\frac{n !}{r ! (n-r) !}[/tex]
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that there are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6.
The total number of ways in which the selection can be made are -
x = 6 x 6 = 36
[x] = 36
Therefore, the number of ways in which the selection of toppings can be made are 36.
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5.44 divided by 0.32
Answer:
calculator on cumputer but 0.21
Step-by-step explanation:
[tex]\sf\purple{17}[/tex] ✅
Step-by-step explanation:
[tex] \frac{5.44}{0.32}[/tex]
To remove the decimal, we divide both the numerator and denominator by 100
[tex] \frac{5.44 \times 100}{0.32 \times 100} \\ = \frac{544}{32} \\ = 17[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
I need help… plz I don’t know how to do it
Answer:
the second answer choice, 3 4/5
Step-by-step explanation:
6 - 2.2= 3.8
3.8 = 3 8/10 = 3 4/5
If the population of 500 bacteria doubles every minutes, how long does it
to take to reach 128000?
answer step by step
Suppose x is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7 is _____. a. .4931 b. 0 c. .0069 d. .9931
Answer:
c. .0069
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 22 and a standard deviation of 5.
This means that [tex]\mu = 22, \sigma = 5[/tex]
The probability that x is less than 9.7 is
This is the p-value of Z when X = 9.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9.7 - 22}{5}[/tex]
[tex]Z = -2.46[/tex]
[tex]Z = -2.46[/tex] has a p-value of 0.0069, and thus, the correct answer is given by option c.
A jar has 465 M & Ms. There are twice as many blues as reds. There are 8 more green as red. The
number of brown M & M's is two more than three times the number of reds.
Answer:
Step-by-step explanation:
Graph a line that contains the point (-5,-3)(−5,−3)left parenthesis, minus, 5, comma, minus, 3, right parenthesis and has a slope of -2−2minus, 2.
Graph a line that contains the point (-5,-3)(−5,−3)left parenthesis, minus, 5, comma, minus, 3, right parenthesis and has a slope of -2−2minus, 2.
The linear equation is y = -2x -13 And its graph is attached below:
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
WE have been given that a line that contains the Point (-5,-3) and has a Slope -2
Therefore, the equation of line would be;
y-y₁ = m(x-x₁)
y + 3 = -2 (x + 5)
y + 3 = -2x - 10
y = -2x -13
HEnce, the line will also go through the point (0, -13)
The linear equation is y = -2x -13 And its graph is attached below:
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100 POINTS
Solve for x.
−12x+13>35
Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
answer is <-8/5
and x <-22/12
I WILL GIVE YOU #) BRAINLYYYYYYYY
Answer: B
Step-by-step explanation:
Find the hcf of 299, 589 and 779
How many times does the graph of the function below intersect or touch the x-axis y=-x^2+x+6
The area of the triangle is 0.2 square feet. What is the triangle's height, h?
Answer:
we need to know it's width. the questions has not enough information
Given that 2 sec?0 – tan²0 = p. show that cosec²theta= p-1/p-2,p≠2
Answer:
Step-by-step explanation:
2/cos^2(theta) - sin^2(theta)/cos^(theta) = p
(2 - sin^2(theta) ) / cos^2(theta) = p
cos^2(theta) = 1 - sin^2(theta) Relationship between sines and cosines
2 - sin^2(theta)/ (1 - sin^2(theta) ) = p Everything is now in terms of sines
sin^2 (theta) = 1 / csc ^2 (theta) sin^(theta) = 1/csc(theta)
2 - 1/csc^2(theta) Make Left over csc(theta)
============== = p
1 - 1/csc^2(theta)
2 csc^2(theta) - 1
------------------------
csc^2(theta)
================ = p Cancel out denominators (csc^2(theta))
csc(theta) - 1
-------------------
csc^2(theta)
2 csc^2 (theta) - 1
=============== = p Multiply both sides by csc^2(theta) - 1
csc^2(theta) - 1
2csc^2(theta) - 1 = p*csc^2(theta) - p Collect csc^2(theta) on the left, p on the right.
csc^2(theta) (2 - p) = 1 - p
csc^2(theta) = (1 - p)/(2 - p)
Solve for x. 2(4x+7)=62
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]2(4x + 7) = 62 \\ 2 \times 4x + 2 \times 7 = 62 \\ 8x + 14 = 62 \\ 8x = 62 - 14 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]
✍ The value of x is 6.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Can someone please help me ?
Answer:
(x-2),(x-1),(x), and(x+1)
Step-by-step explanation:
In this scenario, we are given nothing about the polynomial except its graph. We can start in problems like these by looking at when y=0 and going from there.
In this graph, we can see that y=0 when x=2, 1, 0, and -1. Looking at our options, for y to be 0, there must be a factor where, when we plug x=2 in, y=0. The only option here is (x-2). Similarly, for x=1, we have (x-1), for x=0, we have x, and for x=-1, we have (x+1). The polynomial has 3 turning points, so the polynomial must be of degree 4 or higher.
So far, we have (x-2)(x-1)(x)(x+1). Plugging this in to a graphing calculator, we can see that this fits. To check if x²+2 and x²+1 would work here, it would require guess and check with values/graphing calculators, seeing if they fit. For example, when x=1.5, y is greater than -1 on the graph and our function. However, if we multiplied that by x²+1 or x²+2. when x=1.5, y would balloon downward, and the graph wouldn't fit
El valor de x en la ecuación 1+4x-3=6x+8
Answer:
1 + 4x - 3 = 6x + 8
4x - 6x = 8 - 1 + 3
-2x = 10|:(-2)
x = -5
Which graph shows the system of equations 4x+y=3 and 2x-3y=3?
help pls ill give u brainlest
Step-by-step explanation:
πr²= Area of a circle
In this case:
π16²
16²= 256265×π= 804.2 (1dp)So therefore, the answer is A
Hope this helped!
Describe (in words) the curves traced by particles moving in the xy-plane according to the parametric equations in (a–h). You do not have to draw the graphs yourself, but Desmos is still extremely helpful here (5t + 3, 2t − 6) with −2 ≤ t ≤ 3
Answer:
here we have:
x = 5*t + 3
y = 2*t - 6
both for -2 ≤ t ≤ 3
First, we can rewrite:
x = a*y + b
let's try to find the values of a and b.
5*t + 3 = a*(2*t - 6) + b
5*t + 3 = a*2*t + (b - 6*a)
Here we have two equations:
5 = a*2
3 = (b - 6*a)
from the first one, we can solve:
5/2 = a
replacing this into the second, we et:
3 = b - 6*(5/2)
3 = b - 15
3 + 15 = b = 18
Then:
x = (5/2)*y + 18
y = 2*t - 6
So, y is a linear equation that depends on the variable t
x is a linear equation that only depends on x (from this we already know that the graph will be a line)
and we know that −2 ≤ t ≤ 3
Then the minimum value of y is:
y = 2*(-2) - 6 = -10
and the largest value of y is:
y = 2*3 - 6 = 0
So y-varies in the range between -10 and 0
And because x = (5/2)*y + 18
The minimum value of x is:
x = (5/2)*-10 + 18 = -25 + 18 = -7
and the maximum value of x is:
x = (5/2)*0 + 18 = 18
Then we know that this line starts in the point (-10, -7) and ends in the point (0, 18)
What is the domain of the function f(x) = sqrt x-9 + 5?
Answer:
D. x≥ 9
Step-by-step explanation:
√x-9 should be ≥ 0
so, x-9≥0
=> x ≥ 9
Which equation has a graph that passes through the origin and has a slope of -6.2? O A. y = 6.2x O B. y = -6.2x O c. y = 0.2% O D. y = -0.2x SUBNIIT
9514 1404 393
Answer:
B. y = -6.2x
Step-by-step explanation:
If the y-intercept is zero (the graph passes through the origin), then its slope-intercept equation is ...
y = mx + b
y = mx . . . . . line with slope m and y-intercept of 0
When the slope is -6.2, the equation is ...
y = -6.2x
Consider the following exponential probability density function.  for x ≥ 0 If needed, round your answer to four decimal digits.(a) Find P(x ≤ 2). (b) Find P(x ≥ 3). (c) Find P(x ≤ 5). (d) Find P(2 ≤ x ≤ 5).
Answer:
Here the general formula is
[tex]P(X\leq x_{0} )=1 - e^{\frac{-x_{0}}{2} }[/tex]
a) [tex]P(X\leq 2 )= 0.6321[/tex]
b) [tex]P(X\geq 3 )= 0.2231[/tex]
c) [tex]P(X\leq 5 )= 0.9179[/tex]
d) [tex]P(2\leq X\leq 5 )= 0.2858[/tex]
Step-by-step explanation:
Now the solutions are,
a)
[tex]P(X\leq 2 )=1 - e^{\frac{-2}{2} }\\P(X\leq 2 )= 0.6321[/tex]
b)
[tex]P(X\geq 3 )=1-[1 - e^{\frac{-3}{2} }]\\P(X\geq 3 )= 0.2231[/tex]
c)
[tex]P(X\leq 5 )=1 - e^{\frac{-5}{2} }\\P(X\leq 5 )= 0.9179[/tex]
d)
[tex]P(2\leq X\leq 5 )=1 - e^{\frac{-5}{2} }-1 - e^{\frac{-2}{2} }\\P(2\leq X\leq 5 )= 0.2858[/tex]
5690 as standard form
Answer:
It already is in standard form btw
Step-by-step explanation:
Answer:
5690 is standard form
five thousand six hundred ninety is word form
5000+600+90 is expanded form
hope this helps
have a good day :)
Step-by-step explanation:
Eight less than the product of three and a number is twenty two
Answer:
let x represent the missing number
3x-8=22
3x=22+8
3x=30
3x/3=30/3
x=10
Step-by-step explanation:
hope this is helpful
Answer:
3x - 8 = 22
Step-by-step explanation:
always use x as "the number"
remember product means multiply!
8 less than the product of three and a number
3x - 8
lastly, "is 22"
"is" means equals
3x - 8 = 22
I hope this helps!!
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.
Answer:
0.8586 = 85.86% probability that she does not have all the red ones.
Step-by-step explanation:
The marbles are grabbed without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
Bag has 4 + 4 + 3 + 1 = 12 marbles, which means that [tex]N = 12[/tex]
She grabs eight of them, which means that [tex]n = 8[/tex]
Four are red, which means that [tex]k = 4[/tex]
Probability that she does not have all the red ones.
This is
[tex]P(X < 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,12,8,4) = \frac{C_{4,4}*C_{8,0}}{C_{12,8}} = 0.1414[/tex]
Then
[tex]P(X < 4) = 1 - P(X = 4) = 1 - 0.1414 = 0.8586[/tex]
0.8586 = 85.86% probability that she does not have all the red ones.
Write the equation The product of a number m and 4 is 16
Answer:
4
Step-by-step explanation:
The product of a number m and 4 is 16
=m×4=16
16÷4=4
Answer:
m=4
Step-by-step explanation:
m and 4 is 16
m=?
m×4=16
m=16÷4
=4
m=4
When Shaquana commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 22 minutes and a standard deviation of 3 minutes. Using the empirical rule, determine the interval that represents the middle 95% of her commute times.
Answer:
16,28
Step-by-step explanation:
The requried interval that represents the middle 95% of Shaquana's commute times is (16, 28) minutes
What is an empirical rule?The empirical rule, also known as the three-sigma rule, is a statistical concept that provides a quick estimate of the spread of a normal distribution.
Since Shaquana's commute times are normally distributed with a mean of 22 minutes and a standard deviation of 3 minutes, we can use this information to find the interval that represents the middle 95% of her commute times.
To do this, we need to find the range of values that is two standard deviations away from the mean in either direction.
Lower limit = Mean - 2SD = 22 - 23 = 16 minutes
Upper limit = Mean + 2SD = 22 + 23 = 28 minutes
Therefore, the interval that represents the middle 95% of Shaquana's commute times is (16, 28) minutes. This means that we expect Shaquana's commute time to be between 16 and 28 minutes, with 95% confidence.
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