Answer:
xy=3/4
Step-by-step explanation:
since it says the "product"
it is x(y)
3/4 goes after the = sign
hi..
All of the license plates in a particular state feature three letters followed by three digits (e.g. ABC 123). How many different license plate numbers are available to the state's Department of Motor Vehicles?
Step-by-step explanation:
for each letter position there are 26 choices.
and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions.
each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are
26³×10³ = 17,576,000 different number plates
The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
What is fundamental counting principle?The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.
This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.
For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions, each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are;
26³×10³ = 17,576,000 different number plates.
Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
Learn more about fundamental counting principle, click;
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Math is hard help me please
Answer:
the third answer
Step-by-step explanation:
because If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.
In a recent tennis tournament, women playing singles matches used challenges on 133 calls made by the line judges. Among those challenges, 31 were found to be successful with the call overturned. a. Construct a 90% confidence interval for the percentage of successful challenges. b. Compare the results from part (a) to this 90% confidence interval for the percentage of successful challenges made by the men playing singles matches: 20.9%
Using the z-distribution, it is found that the 90% confidence interval for the percentage of successful challenges is (17.28, 29.34).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
31 out of 133 challenges were successful, hence:
[tex]n = 133, \pi = \frac{31}{133} = 0.2331[/tex]
90% confidence level, hence [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 - 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.1728[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 + 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.2934[/tex]
As percentages:
0.1728 x 100% = 17.28%
0.2934 x 100% = 29.34%
The 90% confidence interval for the percentage of successful challenges is (17.28, 29.34).
A similar problem is given at https://brainly.com/question/16807970
I have my final exam soon 29/11/2021 , thank you all who helped me in math :>
Answer:
okay
Step-by-step explanation:
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
a.64
b.96
c.144
d.208
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]6(12-3)+4+(3)(2)[/tex]
[tex]=(6)(9)+4+(3)(2)[/tex]
[tex]=54+4+(3)(2)[/tex]
[tex]=58+(3)(2)[/tex]
[tex]=58+6[/tex]
[tex]= 64[/tex]
Answer:64.
Hopefully, this helps you!!
[tex]Sokka[/tex]
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Step-by-step explanation:
gjr jrijtigjtitrg rkgtrigjkjgkfrijr l
so hard! please help!
Answer:
please take a closer picture. :)
Step-by-step explanation:
The pair of polygons is similar. Find the value of x.
187. 5 in
12 in
30 in
37.5 in
How do I simplify these squared expressions? I believe I'm supposed to use multiplication but I'm not sure how. All of my answers have been incorrect so far.
I think it wants you to remove the squares.
See if this works :)
The function f(x) = -2x^5 + x^3 - 7x is an odd function. Which rule is satisfied by this function?
A. f(x) = f(-x)
B. f(x) = -f(x)
C. -f(x) = f(-x)
D. f(x) = f(x)^-1
[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]
4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)
Answer:
45789932
Step-by-step explanation:
3456899954433222222344577890009
Please help me I beg you I beg pms pls pls pls pls pls
Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?
Answer:
the one with the perimeter of 28 inStep-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
8 + 9 + 11 = 28in
the bottom the range has the same numbers so I just need the domain and range help plz!!
How to identify domain and range from co-ordinate pairs?
If a pair be (x,y)Domain=x
Range=y
Hence.
In the graph here
[tex]\\ \sf\longmapsto D_f=0\leqslant x\leqslant y[/tex]
[tex]\\ \sf\longmapsto R_f=0\leqslant y\leqslant 14[/tex]
the question is in the image!
Answer:
g ≤ 6
Step-by-step explanation:
The number of goldfish that can live in the tank is less than or equal to 6.
There are 56 fourth graders going on a field trip. The teacher wants to divide them evenly into groups of 4 students and no more than 8 students. What are ways to divide the students evenly into groups
56 ÷14 =4
Step-by-step explanation:
dividing
56÷7=8
HELP QUICK!!! I Really need the answer l'll give you ten points.
am 7. If the base of the parallelogram is equal to ir and the height is r, then what is the area of the parallelogram?
Step-by-step explanation:
The area of a parallelogram is just base x height, same as a rectangle.
[tex]a=b*h\\a=ir*r[/tex]
If ir is 2 separate variables rather than just 1, that can be simplified to this:
[tex]a=ir^2[/tex]
odd numbers between 20 and 46 that are mutiples of 3
Answer:
h
Step-by-step explanation:
h
Answer:
they should be 21 27 33 39 45
Step-by-step explanation:
:)
Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8.
What is Rita’s error?
d) A patient is given 11÷2ml of medicine three times a day. How long does a bottle of 132 ml of medicine last?
Answer: 8 days.
Explanation;
11/2 = 5.5
5.5 x 3 = 16.5
132/16.5 = 8
Answer:
8 days
Step-by-step explanation:
So, 11/2 * 3 = (33/2) = 16.5 ml
Let the number of days medicine last be 'x'.
⇒ 16.5 * x = 132
⇒ x = 132/16.5
⇒ x = 8.
Therefore, Medicines last for 8 days.
Hope it helps!
a boy rides the motorbike with velocity of 20 m/s. He accelerates his motorbike to a velocity of 30 m/s in 5 seconds. Calculate the acceleration produced in the motor bike
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Answer:
2m/s2
Step-by-step explanation:
acceleration = (final velocity - initial velocity) / time
a = (30-20) / 5
a = 10 / 5
a = 2m/s2
Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
O In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality
O In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
O The process is exactly the same for solving the equation and solving the inequality
O The process for solving the equation is entirely different from solving the inequality.
ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
7.1 in²
Step-by-step explanation:
If you mentally rearrange the figure it's
a circle with a radius of 1
and a square with side of 2
Area of circle
a = 3.14r²
a = 3.14 * 1²
a = 3.14
Ares of square
a = s²
a = 2²
a = 4
Combined ares
a = 3.14 + 4
a = 7.14
Rounded
7.1 in²
An amount of $8,000 is invested at a simple interest rate
of 2%. What is the interest earned after 3 years?
Total amount after three years
= $8.360
Explanation:
Given -
Principal amount
p = $.8,000
Rate of interest
r = 1.5%
Duration
n = 3 years
Total amount after three years = Principal amount + Interest amount
Total amount after three years
= p + (pnr) = 8000 + (8000×1.5100×3) = 8000 + 360 = $8.360
Total amount after three years
= $8.360
Answer:
$8.360
Step-by-step explanation:
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet
Answer:
Step-by-step explanation:
Let the other leg = x
x^2 + 4^2 = (3x)^2
x^2 + 4^2 = 9x^2
4^2 = 9x^2 - x^2
16= 8x^2
16/8 = x^2
x^2 = 2
x = sqrt(2)
The lengths of the sides
x = sqrt(2)
other side =4
hypotenuse = 3*sqrt(2)
x = 1.4
other side= 4
hypotenuse = 3*1.4142
hypotenuse = 4.2
1. What kind of sequence is this? 44, 57, 70, 83, .. arithmetic ,geometric,
both , neither
Answer:
arithmetic
Step-by-step explanation:
arithmetic
There is a common difference of 13 between each term.
what is 1483 divided by 7? what is the remainder
Answer:
211 remainder 6
Step-by-step explanation:
Step-by-step explanation:
211,85714
211 is the whole number
,85714 is the remainder
What is the slope of the line that passes through the points (6, -10) and (3, -13)?
Write your answer in simplest form.
[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]