The required probability is 0.45
We have total 26 letters in English, of which 21 are consonants and 5 are vowels.
According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.
Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.
So the probability is 5/26
Now, a letter has been selected, so in the set, we have 25 letters left.
In the next 4 selections, we must select consonants.
In the second selection the probability is 21/25
In the third selection the probability is 20/24
In the fourth selection the probability is 19/23
In the last selection the probability is 18/22
So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)
Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,
P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45
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AD and BC are equal perpendiculars to a line segment AB [see fig 7.18] Show that CD bisects AB.
Answer:
because a=b and c=d so bisect
One half the sum of two numbers equals their difference. What are the numbers if their sum is 56
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
(1/2)56 = a - b
28 = a - b
a + 28 = 56
a = 28
write the equation for this line in slope intercept form
Answer:
y = [tex]\frac{3}{2}[/tex]x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.
The y-intercept is the point where the line intersects the y- axis.
y = mx + 2
The equation to find slope is [tex]\frac{y1-y2}{x1-x2}[/tex] Two points from the line: (0,2) (4,8)
[tex]\frac{8-2}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{3}{2}[/tex]x + 2
Which of the following inequalities matches the graph?
graph and answer choices in image
Given:
The graph of an inequality.
To find:
The inequality for the given graph.
Solution:
From the given graph it is clear that the related line is a vertical line parallel to the y-axis at a distance of 7 units from the left of y-axis. It intersect the x-axis at x=-7.
So, the related equation for boundary line is
[tex]x=-7[/tex]
The shaded region is on the left side of the boundary line. it means, the value of x which are less than -7 are included in the solution set.
The boundary line is a solid line. It means -7 is also included in the solution set.
The value of x is less than or equal to -7. So, the inequality for shaded region is
[tex]x\leq -7[/tex]
Therefore, the correct option is B.
Help please asap!! I will mark you as brainliest :)

The cook prepares 12 hard-boiled eggs, 36 scrambled
eggs, and 7 poached eggs. Write the ratio of hard-
boiled to scrambled eggs as a fraction.
Answer: 12/36 and simplified would be 1/3
Step-by-step explanation:
12 - hard boiled eggs
——
36 - scrambled
Divide them by 12 and you get a simplified fraction
“Pueblo” is the Spanish word for ___________ a. town. c. flock of sheep. b. stone ruins. d. oven to bake bread. Please select the best answer from the choices provided A B C D
The answer is A: Town
Hi there! Please help ASAP! The question is in the photo!
Answer:
36.87 degrees
Step-by-step explanation:
we can use the cos ratio:
cos(x) = adjacent/hypotenuse
cos(x) = 12/15
x = [tex]cos^{-1} (4/5)[/tex]
x=36.87 degrees
What is 2x + 9 times 7x if x equals -75
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
I am bo*red someone talk to me
Answer:
-4875
Step-by-step explanation:
and hello
Find sin theta if cot theta = -2 and cos theta < 0
cot(θ) = cos(θ)/sin(θ)
So if both cot(θ) and cos(θ) are negative, that means sin(θ) must be positive.
Recall that
cot²(θ) + 1 = csc²(θ) = 1/sin²(θ)
so that
sin²(θ) = 1/(cot²(θ) + 1)
sin(θ) = 1 / √(cot²(θ) + 1)
Plug in cot(θ) = -2 and solve for sin(θ) :
sin(θ) = 1 / √((-2)² + 1)
sin(θ) = 1/√(5)
what is 362,000 rounded to the nearest ten thousand
Answer:
360,000
Step-by-step explanation:
What is the equation of the line that passes
through the points (-7, -10) and (-6, -8)?
There were 239 people at a Travis Scott concert, Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.
Answer:
IM A HUGE TRAVIS SCOTT FAN I SNUCK IN ONE OF HIS CONCERTS
Step-by-step explanation:
The amount of time it takes a water pump to empty a tank varies directly as the capacity of the tank. If it takes a water pump 2.5 hours to empty a tank containing 60,000 gallons of water, how long does it take the same pump to empty a tank containing 108,000 gallons of water?
Answer: 4.5 hours
Step-by-step explanation: i used cross multiplication.
2.5/x=60,000/108,000
60,000x=270,000
divide 270,000 by 60,000
x=4.5
An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the amount of time it takes a water pump to empty a tank varies directly with the capacity of the tank. Therefore, the relationship can be written as,
V ∝ T
V = kT
Substituting the volume and time in the equation,
60,000 gallons = 2.5 hours × k
Solving the equation for k,
k = 60,000 gallons / 2.5 hours
k = 24,000 gallons per hour
Now, the equation for the relationship can be written as,
V = 24,000 gallons per hour × T
Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,
V = 24,000 gallons per hour × T
108,000 gallons = 24,000 gallons per hour × T
108,000 gallons / 24,000 gallons per hour = T
T = 4.5 hours
Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
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what is 1000000+25437
Answer:
1025437
Step-by-step explanation:
1000000+25437=1025437
Answer:
1025437
Step-by-step explanation:
hope it helps, please mark as brainliest
Gerry's electric toothbrush rotates the brush 125 times per second.
Gerry brushes her teeth for two minutes, twice a day.
How many rotations does her electric toothbrush make in one week?
Answer:
Her electric toothbrush makes 210,000 rotations in one week
Step-by-step explanation:
Note that:
1 minute = 60 seconds1 week= 7 days∵ Gerry brushes her teeth for two minutes, twice a day
→ Twice means times 2
∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day
∵ Gerry's electric toothbrush rotates the brush 125 times per second
∵ 1 minute = 60 seconds
→ Multiply 125 by 60 to find the number of rotating in 1 minute
∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute
∵ Gerry brushes her teeth for 4 minutes a day
→ Multiply it by 4 to find the number of rotation in 1 day
∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day
∵ 1 week = 7 days
→ Multiply the number of rotation in 1 day by 7 to find it in 1 week
∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week
∴ Her electric toothbrush makes 210,000 rotations in one week
The function of f is shown. Find lim f(f(x)) as x->-1
Answer:
The limit of f(f(x)) = -1.
Step-by-step explanation:
Limt x--> -1 of f(x) = 3.
This output is now applied to f(x):
Limit x---> 3 of f(x) = -1.
Which the following points is on the line whose equation is 2x - y = 3
a. (-1,-5)
b. (0,3)
c. (2,-1)
d. (3,2)
plz help meeeeeeeeeee
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Please help me. I will fail...I will mark you brainiest.
The function [tex]f(x)=15(0.85)^x[/tex]models the height, in feet, of a bouncing ball after x seconds.
What is the initial height of the bouncing ball?
What is the percent rate of change?
What is the height of the bouncing ball after 5 seconds? Express your answers as a decimal rounded to the nearest hundredth.
Answer:
1) 17.6 2) 1760% 3) 12.6
Step-by-step explanation:
give me brainlist
The initial height of the bouncing ball is 15 feet, The percent rate of change is -15% and after 5 s, the height of the ball is 6.66 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the function:
f(x) = 15(0.85)ˣ
a) The initial height of the bouncing ball is 15 feet
b) The percent rate of change = 0.85 - 1 = -0.15 = -15%
c) After 5 s, x = 5:
f(5) = 15(0.85)⁵ = 6.66 feet
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6(5g-7h+4)
6(5g−7h+4)
Answer:
Step-by-step explanation:
30g-42h+24
30g-42h+24
Class A has 30 pupils and class B has 30 pupils.
Both classes sit the same maths test.
The mean score for class A is 55.
The mean score for class B is 65.
What is the mean score in the maths test across both classes?
Answer:
30
Step-by-step explanation:
b/c mean is average by another word
55 + 65 = 120
120\2 = 60
The base of an isosceles triangle is 4 units longer than the
sides. The perimeter of the triangle is 23.6 units. Which
system of equations can be used to find the length b of the
base and the length s of the sides?
Step-by-step explanation:
2s + b = 23.6
s + 4 = b
s = b - 4
2b - 8 + b = 23.6
3b = 31.6
b = 31.6 / 3 = 10.53333333(etc.) which is approx. 10.53
s = 6.53
Answer:
1gm = 1000mg so 0.1gm = 1000mg
first, convert the weight to kg
160lb * 1kg/2.2lb = 72.7kg
next, the dose
72.7kg * 100mg/kg = 7270mg
Step-by-step explanation:
Find the indicated sum.
10
∑ (2j+8)
j=1
Answer: 190
Split the summation into smaller summations that fit the summation rules
10∑ j=1 (2j+8) = 2 10∑ j=1 (j) + 10 ∑ j=1 (8)
Firstly Evaluate
10
2 ∑ j=1 j
The formula for the summation of a polynomial with degree one is:
n∑ k=1 k =n (n+1) / 2
putting the values
2∑ j=1 j = (2)* 10 * (10+1) / 2
= 110…………………..(1)
second Evaluate :
10 ∑ j=1 (8)
The formula for the summation of a constant is:
N ∑ k=1 c = cn
Putting the values
10 ∑ j=1 (8) = 8 * 10
= 80……………….(2)
Adding both (1) and (2)
110+80
190
A shirt is originally $40, but today it is on sale for 35% off.
If sales tax is 8%, what is the total price for the shirt?
Answer:
$23.92
Step-by-step explanation:
35% of 40 is 14. 40-14=26. 8% of 26 is 2.08. 26-2.08=23.92
Parvinder wants to save $500 for a trip. Which inequality shows the least amount she must save each month for 6 months to accomplish this?
A 6x 500 B 6x > 500 C 6x => 500 D x => 500 + 6
Answer:
The correct answer is C. 6x = 500.
Step-by-step explanation:
In this expression, the "x" represents how many dollars he needs to save every month. Or in other words, the amount of money he earns a month multiplied by the amount of months should equal 500 in order for Parvinder to be able to go on his trip.
Therefore, the correct answer is C. 6x = 500.
Hope this helps! :D
A sloth travels about 7 feet every minute. Generate the set of ordered pairs for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1, 2, 3, and 4 minutes.
(1,
), (2,
), (3,
), (4,
)
Part B
the 4 ordered pairs for the given proportional relation are (1, 7), (2, 14), (3, 21), (4, 28).
How to find the set of ordered pairs?
Here we know that the sloth travels about 7 feet every minute, then we can define the speed as:
S = 7 ft/min
Now remember the relation:
distance = speed*time
Then the proportional relation is:
D = 7*t
The ordered pairs are of the form (t, D)
if t = 1.
D = 7*1 = 7
if t = 2
D = 7*2 = 14
if t = 3
D = 7*3 = 21
if t = 4
D = 7*4 = 28
Then the 4 ordered pairs are (1, 7), (2, 14), (3, 21), (4, 28).
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Which ordered pair is a solution of the equation y=5x? (-2, 10) (-5, 25) (-3, 15) (-2, 10)
One of the solutions of the given equation y = 5x is (2,10)
The solution of an equation means if we substitute the value of this solution into the equation, it will produce the correct equality from the left side to the right side.
If the solution has 2 variables, for example x and y, and the solution is (a,b) means that if we replace x with a and y with b, the equality is correct.
The given equation is: y = 5x
For option (-2,10), substitute x = -2 and y = 10 into the equation:
10 = 5 . (-2)
10 = -10 (False)
Hence (-2,10) is not a solution.
For option (-5, 25), substitute x = -5 and y = 25 into the equation:
25 = 5 . (-5)
25 = -25 (False)
Hence (-5, 25) is not a solution.
For option (-3, 15), substitute x = -3 and y = 15 into the equation:
15 = 5 . (-3)
15 = -15 (False)
Hence (-3, 15) is not a solution.
There is no options in the problem that gives the correct equality. Looks like there is a typo.
Example of a solution of the given equation is (2,10), since if we substitute x = 2 and y = 10 into the equation:
10 = 5 . (2)
10 = 10 (True)
Hence (2, 10) is a solution.
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find the answer- 8.19÷1.3
Answer:
-6.3
Step-by-step explanation:
You can do it on calculator.
Evaluate the expression below if x = 3 and y= -4.
X - Y - 3+ (-57)
Answer:
-53
Step-by-step explanation:
3-(-4)-3-57
7-3-57
4-57
=-53