The approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9.
Total letters = 26
Total numbers = 10
Total = 10 + 26 = 36
Total possibilities = 36×35×34×33 = 1413720
Password with one number = C(10, 1) = 10
With three letters = C(26, 3) = = 2600
Outcomes = 2600×10 = 26000
Favorable outcomes = 26000×4! = 624000
Probability = 624000/1413720 = 0.44 = 44%
Thus, the approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.
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show work by factoring completely
30x^3 + 22x^2 + 4x
Given:
The expression is
[tex]30x^3+22x^2+4[/tex]
To find:
Factorized form of given expression.
Solution:
We have,
[tex]30x^3+22x^2+4[/tex]
[tex]=2x(15x^2+11x+2)[/tex]
Splitting the middle term, we get
[tex]=2x(15x^2+6x+5x+2)[/tex]
[tex]=2x(3x(5x+2)+1(5x+2))[/tex]
[tex]=2x(3x+1)(5x+2)[/tex]
Therefore, the complete factorized form of given expression is [tex]2x(3x+1)(5x+2)[/tex].
Your bill at a restaurant is $84.90. What will the tip be if you leave 20% for the server?*
$169.80
$1.70
$16.98
$84.90
Answer:
$16.90
Step-by-step explanation:
20% of $84.80 is $16.90
Jessica text 1/3 of watermelon, and Lily takes 2/3 of the watermelon Jessica took. What fraction of the whole watermelon does Lily take?
2/5 of the 45 oranges fell out of the tree. how many oranges fell out of the tree?
Answer:
18 oranges
Step-by-step explanation:
To find this, we have to calculate 2/5 * 45, which is equal to 45 * 2 and then divided by 5 (Or you could cross cancel). 45 * 2 is equal to 90 and 90/5 is equal to 18. That means that 18 oranges fell out of the tree.
3 1/4 + 1 + 2 1/2 what is the answer?
Answer:
6 3/4
Step-by-step explanation:
Step-by-step explanation:
3 1/4 = 13/4
1 = 4/4
2 1/2 = 2 2/4 = 10/4
13/4 + 4/4 + 10/4 = 27/4
27/4 = 6 3/4
The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Answer:
The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Length and width of the rectangle are 4 cm and 2.5 cm respectively.
Given in the picture,
A rectangle with the area of 10 cm².Expressions representing the lengths of the rectangle as(4x + 2) cm and (10x - 1) cm
By the property of a rectangle, measure of opposite sides of a rectangle are always equal,
(4x + 2) = (10x - 1)
(4x + 2) - 4x = (10x - 1) - 4x
2 = 6x - 1
2 + 1 = (6x - 1) + 1
3 = 6x
[tex]x=\frac{3}{6}=\frac{1}{2}[/tex]
Now we can get the length of the given rectangle by substituting the value of 'x' in (10x - 1) or (4x + 2).
(10x - 1) = [tex]\frac{10}{2}-1[/tex]
= 4 cm
Since, area of a rectangle is given by the expression,
Area = Length × width
By substituting the values in the expression,
10 = 4 × width
Width = [tex]\frac{10}{4}[/tex]
= 2.5 cm
Therefore, length and width of the rectangle are 4 cm and 2.5 cm respectively.
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Consider these dilations. 1. Large triangle right-arrow smaller triangle. 2. Small square right-arrow large square. 3. Line segment right-arrow identical line segment. Which best describes the scale factor for each dilation? Dilation 1 has a scale factor . Dilation 2 has a scale factor . Dilation 3 has a scale factor .
Answer:
Dilation 1 has a scale factor
✔ between 0 and 1
.
Dilation 2 has a scale factor
✔ greater than 1
.
Dilation 3 has a scale factor
✔ equal to 1
.
Step-by-step explanation:
i got it right on edge
Answer: 1.(between 0 and 1) 2.(greater than 1) 3.(equal to 1)
Step-by-step explanation: i hope this helps!
The drawing below represents a 22-foot ladder with its base placed 10 feet from the bottom of a vertical wall. whatis the best value for x
Answer:
x = 62.96°
Step-by-step explanation:
From the attached figure,
Base, b = 10 ft
Hypotenuse, H = 22 ft
We need to find the value of x. We can use trigonometry to find it.
We know that,
[tex]\cos\theta=\dfrac{B}{H}[/tex]
Putting all the values,
[tex]\cos x=\dfrac{10}{22}\\\\x=62.96^{\circ}[/tex]
So, the value of x is 62.96°.
geometry review question
Dividing by 1/100
is the same as
multiplying by what number? Show work and explain your answer.
Please help. Find the area
Answer:
1963.495
Step-by-step explanation:
Well we see this is a quarter of a circle with a radius of 50. The full circle's area would be 7853.98, so you would divide by 4 and get 1963.495
The ratio of the side lengths of a quadrilateral are 2:3:5:7. If the quadrilateral's perimeter is 68, what is the length of each side?
These figures are similar. What is the length of the missing side, x?
Answer:
5 ft
Step-by-step explanation:
the smaller one is 1/3 of the size of the bigger one
Original Price = ? Percent of Discount = 5% Sale Price = $57
Answer:
$60
Step-by-step explanation:
100 - 5 = 95%
95% = 57
divide both sides by 95 to find 1%
1% = 0.6
multiply both sides by 100 to find 100%
100% = 60
Which of the following situations are equal to 50%? Select all that apply.
Answer:
show them
Step-by-step explanat
Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then added vinegar and water teach volatile to make them bubble up like volcanoes how much baking soda do you put in each bottle
Answer:
[tex]\mathbf{ \dfrac{1}{8} \ box}[/tex]
Step-by-step explanation:
Given that:
Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;
Then, mathematically:
[tex]=\dfrac{5}{8} \ box \div 5[/tex]
[tex]= \dfrac{5}{8} \ box \times \dfrac{1}{5}[/tex]
[tex]\mathbf{= \dfrac{1}{8} \ box}[/tex]
A teacher has 4 More Than Peach packs to share with her students, with 48 crayons in TOTAL. She wants to divide the crayons equally among her 6 students. Write a division equation to solve for the number of crayons each student gets. *
Answer:
Step-by-step explanation:
Since we are given all of the necessary information we simply need to divide the total number of crayons by the total number of students that are getting crayons. This will give use the number of crayons that each student will get which will be represented by the variable x. Therefore, the equation would look like the following...
x = 48 / 6
HELPPPPPPPPPPPPPPP
How can you use inverse operations to solve equations with
addition and subtraction?
(make the answer on the simpler side please)
Answer & Step-by-step explanation:
You can check your answer easily by using inverse operations. For example, if you're solving for 1+2, you can check it by subtraction. Since 1+2=3, you can subtract 3 by 1, and you come up with 2.
Hope this helps and have a nice day (～￣▽￣)～
The area of a rectangle is 255.2 m2. If the length is 16 m, what is the perimeter of the rectangle?
Answer:
P= 63.9m
Step-by-step explanation:
Answer:
I believe the perimeter is 63.9m
(Squad root of 7)^6x=49^x-6
the answer is in the file i linked below and i tried to do as much work as I can for it not to be messy
find the equation of the line that is parallel y= 2x+10 and passes through the point (6,-4)
Answer:
The equation of the parallel line to the given line
y = 2 x - 16
Step-by-step explanation:
Step(i):-
Given equation of the straight line y = 2 x +10
2x - y + 10 =0
The equation of the parallel line to the given line is
a x + by + k=0
The equation of the parallel line to the given line is
2x - y + k=0
Step(ii):-
Given point ( 6,-4)
The equation of the parallel line to the given line is
2x - y + k=0
This line passing through the point ( 6,-4)
2(6) - (-4)+ k=0
12 + 4 +k =0
16 + k=0
k = -16
Final answer:-
The equation of the parallel line to the given line
y = 2 x - 16
1 3
y = -x - 4
2
What is the h value
Answer:
12
Step-by-step explanation:
231
for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__
Answer: 1, 0
Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.
The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
What is a Logarithm base?It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.
So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
Hence, the above answers are correct.
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Daniel works for 3 hours one day he gets paid $6 an hour. Build a visual that represents the word problem
Answer:
He earned $18
Step-by-step explanation:
So what you would do is draw a calendar and put Monday, Tuesday, Wednesday, Thursday, Friday, Saturday put any random year , month ,day . You can choose any three days you want to do. After you do that put $6 for each of the three days and above put 1 hour after that you're going to multiply 6 x 3 which is $18.
If AB = PQ, BC=RQ, AC=PR and ∠ACB = ∠PRQ = 90˚. Write two congruency rules which can’t be applied to prove △ABC ≅ △PQR.
Answer:PQ-23/NEGATIVE 56 TRIANGLE 78 WITH A ANSWER OF 43
Step-by-step explanation:
I RLLY DONT IF IT IS CORRCT
When 8 is added to a certain number and the
sum is multiplied by 3, the result is 57.
Find the number.
Answer:
11
Step-by-step explanation:
11+8=19
19x3=57
(HURRY) Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win? Which equation can be used to solve the problem?
Answer:
Greg won 42 pieces of gum
Step-by-step explanation:
Find the value of X kind of simple I just need help
Sam rolls a fair dice 150 times.
Work out an estimate for the number of times the dice will land on 4.
Answer:
25
Step-by-step explanation:
The fair dice should land on 4 one every six times
150*1/6=25
Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?
and area?
Answer:
Step-by-step explanation:
As we know that,
Area of isosceles triangle= 1/2 *b*h
we have a=10 and other side = hypotenuse=b=13 cm
Now e have formula to find h,
h=[tex]\sqrt{b^{2} -a^{2}/4}[/tex]
now putt the values ,
we get,
h=[tex]\sqrt{169-100/4}[/tex]
h=[tex]\sqrt{576/4}[/tex]
h=12 cm height of isosceles triangle ,Area = 1/2 * b*h
Area=1/2*13*12
Area=S=60[tex]cm^{2}[/tex]