Answer: 1/67600
Step-by-step explanation:
probability that the code is 43MZ:
Probability = (Total Required outcome / total possible outcomes)
Possible outcomes (digit) = (00,.............. ..., 99)
2.) possible outcomes (alphabet) = (A, B,............... .., Z)
P(43MZ) = P(43) × P(M) × P(Z)
P(43) = 1/100
P(M) = 1/26
P(Z) = 1/26
THEREFORE ;
P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600
A regular hexagon has sides of 3 feet. What is the area of the hexagon?
27 √3 ft 2
18 √3 ft 2
9 √3 ft 2
13.5 √3 ft 2
Answer:
13.5√(3) ft^2
Step-by-step explanation:
In this, question, we are to calculate the area of the hexagon
Mathematically, we can calculate the area of a hexagon using the formula;
A = {3√(3)/2}a^2
where a is the length of the side which is 3 feet
substituting the value of 3 into the formula, we have;
A = 3√3/2 * 3^2 = 27 √(3)/2 = 13.5√(3) ft^2
Answer:
13.5√(3) ft^2
Step-by-step explanation:
yolanda lost 55 dollars from her pocket. write a signed number to represent this change
CAN SOMEONE PLS ANSWER THIS ILL REALLY APPREICIATE IT
All most done thanks for hanging in there
Answer:
Angle CBE
Step-by-step explanation:
They share the same degree. Or are the same angle in a different place with a different name.
Answer:
CBE
Step-by-step explanation:
Angle CBE is vertical to GBF which means it is the same size (or congruent to ) CBE
Therefore CBE = GBF
Let log 10! = a. Find an expression for log 9! in terms of a.
Answer:
[tex]log 9! = a-1[/tex]
Step-by-step explanation:
[tex](log10! = a) = (10^{a} = 10!)\\\\\\10! = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9!\\\\\frac{10^a}{10^1} = 9!\\\\10^{a-1} = 9!\\\\log9! = a-1[/tex]
The expression for log 9! in terms of a is [tex]log9! = a - 1[/tex].
Given that,
Let log 10! = a.Based on the above information, the calculation is as follows:
[tex](log10! = a) = (10^{a} = 10!)\\\\10! = 10\times 9\times 8\times 7\\\\10^{a} = = 10\times 9\times 8\times 7\\\\10^{a} = 10\times 9!\\\\\frac{10^{a}}{10^{1}} = 9!\\\\10^{a - 1} = 9!\\\\log9! = a - 1[/tex]
Learn more: brainly.com/question/16911495
log3(5x+1)=4 A.) x = 5 B.) x = 16 C.) x = 4 D.) x = 3
Answer:
B) x=16
Step-by-step explanation:
The 3 is the base, the expression in the parenthesis is the argument and the 4 is the exponent
We also know that [tex]base^{exponent}[/tex] = argument
so therefore the new equation is [tex]3^{4}[/tex] = 5x+1
3 to the fourth power is 81
so 81=5x+1
then solve algebraically
Factor X^2 + 14x + 49 =
Answer:
Step-by-step explanation:
X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2
Answer:
The simplest form should be (x + 7)^2 (squared)
Step-by-step explanation:
This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)
if nicki ate 10 apples and had 20
Apples in the began how many apples does she have now
Answer: 10 apple
Step-by-step explanation:
Write an inequality for each sentence.
The roller coaster is at least 800 feet tall.
Answer:
That means that the roller coaster can be 800 feet or taller
which means greater than or equal to
r≥800
Step-by-step explanation:
Answer:
y is greater than or equal to 800 feet
Step-by-step explanation:
It says it is at least 800 feet, so it has to be higher than 800
Find X. Please help me, I wanna make sure I’m doing good
Answer:
x = 0
Step-by-step explanation:
2x + 15 = x + 15 (Because STUR is a parallelogram) -->
x = 0
A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 666 to get the output.
Which input and output table works for the rule?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Input Output
000 666
(Choice B)
B
Input Output
111 777
(Choice C)
C
Input Output
222 121212
Answer:
None of input and output table work for the rule.
Step-by-step explanation:
Start with the numbers given at A, B,C.
According to the rule you need to multiply by 666 to get the output.
A 000 * 666 = 0 (=NOT the output)
B 111 * 666 = 73926 (=NOT the output)
C 222 * 666 = 147852 (=NOT the output)
None of input and output table work for the rule.
Answer:
c
Step-by-step explanation:
khan academy
4(3x+5)=6(x+8)-x someone please help me with this equation
Answer:
x=4
Step-by-step explanation:
4(3x+5)=6(x+8)-x
Distribute
12x +20 = 6x +48 -x
Combine like terms
12x+20 = 5x+48
Subtract 5x from each side
12x-5x +20 = 5x-5x+48
7x +20 = 48
Subtract 20 from each side
7x+20-20 = 48-20
7x = 28
Divide each side by 7
7x/7 = 28/7
x = 4
A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0
Answer:
C) x2 + 8x – 65 = 0
Step-by-step explanation:
just took it :)
Answer:
c
Step-by-step explanation:
Given x=5, y=3/5, z=3.3, evaluate each expression
2^2y-1
a.1024
c.20
b.200,000
d.200
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 feet. What are the areas of the room and rug?
Answer:
1. Area of rectangular rug is [tex]110 ft^{2}[/tex]
2. Area of triangular room is [tex]330ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as
[tex]Area=Length * Width[/tex]
substituting our given data we have
[tex]Area= 11*10\\Area= 110 ft^{2}[/tex]
step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as
[tex]Area= \frac{1}{2} *base* height\\[/tex]
substituting our given data we have
[tex]Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}[/tex]
Help Me
I don't quite understand this...
Answer:
(x-3)^2 = 4
Step-by-step explanation:
2 (x-3)^2 + 6 = 14
Subtract 6 from each side
2 (x-3)^2 = 8
Divide each side by 2
2/2 (x-3)^2 + 6 = 8/2
(x-3)^2 = 4
1. State the number you would multiply each side of the proportion by to isolate the variable.
r/6= 5/6
Answer:
6
Step-by-step explanation:
In order to get r by itself, you would want to multiply both sides by 6 to cancel out the denominator. From this, you get r=5.
Hope this helps :)
help me please I’ll give out brainliest
((Trigonometry))
Answer:
70.01 ft
Step-by-step explanation:
The angle of depression is 40°, which makes the angle formed by the ground and the line to the tower also 40°.
Since the side opposite of the 40° on the bottom is given, then you can use sine to find how far Ranger Bob is, since the line from him to the tower is the hypotenuse.
Let x = the hypotenuse
sin 40 = 45/x
x = 45/sin 40
x ≈ 70.01 (to the nearest hundredth)
Can someone answer this question please please answer it correctly I’d it’s correct I will mark you brainliest please help me
The formula for the area of a circle is A = pi x (radius^2).
We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.
radius = 6 / 2 = 3 units
Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.
A = pi x 3^2
A = 9pi
A = 4.5pi = 14.13 units^2
Hope this helps! :)
Look at the attached picture
Hope it will be helpful to you..
Good luck for your test...(◕ᴗ◕✿)
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is NOT prime
Answer:
Step-by-step explanation:
7/12
no. of not prime number/ total no. of number
Round to 2 decimal places
0.607
Answer:
Round to 2 decimal places
0.607 => 0.61
Hope this helps!
:)
5 x 10 to the 6th power is how many times larger than 5 x 10 to the 4th power. PLEASE RESPOND FAST
Answer:
5 x 10 to the 6th power is 5,000,000
5 x 10 to the 4th power is 50,000
5,000,000 / 50,000 = 100
it is 100 times larger
Step-by-step explanation:
What is the slope of a trend line that passes through the points (5, 80) and (7 65)?
15
0
о
O
o
Answer:
15/2 = 7.5
Step-by-step explanation:
The slope is found by
m = (y2-y1)/(x2-x1)
= (65-80)/(7-5)
= -15/-2
= 7.5
Answer:
-15/2
Step-by-step explanation:
What is the volume, in cubic centimeters, of a
cylinder that has a height of 15 cm and a
diameter of 12 cm?
Answer:
3cm
Step-by-step explanation:
Answer:
The answer is 540π cm³ or 1700 cm³.
Step-by-step explanation:
Given that the volume og cylinder is V = π×r²×h where r represents radius and h is height. The diameter is 12 cm so the radius is 6 cm. Then you have to substitute it into the formula :
V = π × r² × h
Let r = 6 cm,
Let h = 15 cm,
V = π × 6² × 15
= π × 36 × 15
= 540π cm³
= 1700 cm³ (3s.f)
Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?
The relationship between independent variable A and dependent variable C and the relationship between independent variable
B and dependent variable C can both be analyzed using the same scatterplot.
The relationship between independent variable A and dependent variable C, and the relationship between independent
variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Only the relationship between independent variable A and dependent variable C can be analyzed using a scatterplot.
Only the relationship between independent variable B and dependent variable C can be analyzed using a scatterplot.
Save and Exit
Next
Submit
Mark this and retum
Answer:
its the second one
The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Step-by-step explanation:
Answer:
B) The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Step-by-step explanation:
I just took the test on edge
approximate the square root of 110 to the nearest hundreth
Answer:
10.5
Step-by-step explanation:
since square root of 110 is 10.4880
then we round off to the nearest hundreth
it'll be 10.5
Plz help me I’m stuck on this question!!!!!
Answer:
It's the one with only one line.
Step-by-step explanation: The cross and angle looking one both only have one solution and the parallel lines have no solutions.
Shape of distribution
Answer:
where is the picture so i can help you
What is the probability that the proportion of people who will order coffee with their meal is between 2% of the population mean? If in a restaurant, the proportion of people who order coffee with their dinner is .9. A simple random sample of 144 patrons of the restaurant is taken.
Answer:
57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.
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 normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
For a proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.9, n = 144[/tex]
So
[tex]\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{144}} = 0.025[/tex]
What is the probability that the proportion of people who will order coffee with their meal is within 2% of the population mean?
This is the pvalue of Z when X = 0.9 + 0.02 = 0.92 subtracted by the pvalue of Z when X = 0.9 - 0.02 = 0.88. So
X = 0.92
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.92 - 0.9}{0.025}[/tex]
[tex]Z = 0.8[/tex]
[tex]Z = 0.8[/tex] has a pvalue of 0.7881
X = 0.88
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.88 - 0.9}{0.025}[/tex]
[tex]Z = -0.8[/tex]
[tex]Z = -0.8[/tex] has a pvalue of 0.2119
0.7881 - 0.2119 = 0.5762
57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.
Kati has of a bag of frozen fruit. She used of the fruit to make smoothies. Which equation represents the amount of fruit Kati used to make smoothies?
Answer:
The amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.
Step-by-step explanation:
Let
Total number of frozen fruits = F
Let the amount of frozen fruits used for making smoothies = S
The remaining frozen fruits = R
Then
F - S = R
To get the amount of frozen fruits used to make smoothies, we make S the subject of the formula.
-S = R - F
S = F - R
That is, the amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.
