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.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Solve for m.
13 =2m+513=2m+5
Answer:
m=13
Step-by-step explanation:
A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest
tenth of a foot.
9514 1404 393
Answer:
a. 5√3 ft
b. 8.7 ft
Step-by-step explanation:
The area is the square of the side length, so the side length is the square root of the area:
s = √A
s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)
s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden
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
I WILL GIVE YOU #) BRAINLYYYYYYYY
Answer: B
Step-by-step explanation:
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 the linear equation 3y + 4x = 12, find the y-intercept.
Answer:
(0,4)
Step-by-step explanation:
3y + 4x = 12
To find the y intercept, set x =0 and solve for y
3y = 4*0 =12
3y = 12
Divide by 3
3y/3 = 12/3
y =4
Answer:
4
Step-by-step explanation:
3y + 4x = 12
3y = -4x + 12
y = -[tex]\frac{4}{3}[/tex]x + 4
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes. If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be greater than 526.4 minutes
Answer:
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
This means that [tex]\sigma = \sqrt{2916} = 54, \mu = 518[/tex]
Sample of 81 batteries
This means that [tex]n = 81, s = \frac{54}{\sqrt{81}} = 6[/tex]
What is the probability that the mean battery life would be greater than 526.4 minutes?
1 subtracted by the p-value of Z when X = 526.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{526.4 - 518}{6}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192
1 - 0.9192 = 0.0808
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
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]
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!!
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
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!
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:
Triangle A
Triangle B
Triangles A and B are
O A. only similar
O B. only congruent
O C. both similar and congruent
D. none of the above
The volume v (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5pie r ^2
Answer:
Correct
Step-by-step explanation:
What are the domain and range of the function f(x)= -log(5- x)+9?
Domain; x<5
range: 29
domain: x <5
range: (-0.co) domain: x29
range: (-0.CO)
domain: x29
range: 29
Answer:
Domain: X<5
Range: f(x)∈ R
Step-by-step explanation:
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 ࿐
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
If the population of 500 bacteria doubles every minutes, how long does it
to take to reach 128000?
answer step by step
help with khan academy problem, law of sines
Answer:
104°
Step-by-step explanation:
[tex]\frac{sin~B}{18} =\frac{sin~29}{9} \\sin~B=\frac{18}{9} \times sin~29\\sin~B=2~sin~29\\B=sin^{-1}(2 ~sin~29)\\=104^\circ[/tex]
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
There are 10 students in a
class. How many different
ways can they line up?

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
Legend has it that the great mathematician carl friedrich gauss (1777dash–1855) at a very young age was told by his teacher to find the sum of the first 100 counting numbers. while his classmates toiled at the problem, carl simply wrote down a single number and handed the correct answer in to his teacher. the young carl explained that he observed that there were 50 pairs of numbers that each added up to 101. so the sum of all the numbers must be 50 times •101equals=5050. modify the procedure of gauss to find the sum. 1plus+2plus+3plus+...plus+320
Answer: Sum is 51360
Step-by-step explanation: I have heard same legend and it is also told in hih school math books.
There are 160 pairs numbers which sum is 321, also (320 +1) + (319+2) + ... + (160 + 161). So sum is 160·321
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
Pls help me I need the answer ASAP no rocky. What is the median of the data set
Answer:
go back in the lesson and relearn this is 6th grade work
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:
How many times does the graph of the function below intersect or touch the x-axis y=-x^2+x+6
1. Which of the following is a nonlinear function?
A. The items at a clothing store are sold at a discount of 20% off the original price.
B. The number of dogs in a town increases by 20 per neighborhood per year.
C. A soccer manufacturing company spends $5 on each soccer ball.
OD. The number of students enrolling at a high school increases each year by a factor of 1.25.
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]