Final answer:
Explanation of the probabilities of choosing two vowels and two consonants from the English alphabet without replacement.
Explanation:
The probability of choosing two vowels:
There are 5 vowels in the English alphabet: a, e, i, o, u.
The total number of ways to choose 2 letters out of 26 is C(26, 2) = 325.
The number of ways to choose 2 vowels out of 5 is C(5, 2) = 10.
Therefore, the probability of choosing 2 vowels is 10/325 = 2/65.
The probability of choosing two consonants:
The total number of ways to choose 2 consonants out of the remaining 21 letters is C(21, 2) = 210.
Therefore, the probability of choosing 2 consonants is 210/325 = 42/65.
Tubas, trombones and French horns are bass instruments. Fully stretched out, the length of a tuba is 18 feet. The length of a trombone is 8 13/14, and the length of a French horn is 17 3/14. The tuba is how much longer than the French horn? And the French horn is how much longer than the trombone?
The length of the Tuba is 11/14 feet longer than the length of the French horn.
The length of the French is 8 ²/₇ feet longer than the length of a Trombone horn.
What is subtraction?It absolutely indicates subtracting something from a commodity, group, location, etc. Subtracting from an assemblage or a list of ways is known as subtraction.
Tubas, trombones, and French horns are bass devices. Fully pulled out, the measurement of a Tuba is 18 feet. The measurement of a trombone is 8¹³/₁₄ feet, and the measurement of a French horn is 17³/₁₄ feet.
The difference between the length of the Tuba and the French horn is given as,
⇒ 18 - 17 ³/₁₄
⇒ 18 - 241/14
⇒ (252 - 241) / 14
⇒ 11/14 feet
The difference between the length of the French and the Trombone horn is given as,
⇒ 17 ³/₁₄ - 8 ¹³/₁₄
⇒ 241/14 - 125/14
⇒ 116 / 14
⇒ 8 ²/₇ feet
The length of the Tuba is 11/14 feet longer than the length of the French horn.
The length of the French is 8 ²/₇ feet longer than the length of a Trombone horn.
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Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
y 2 + 5y Choose the constant term that completes the perfect square trinomial.
The constant term that completes the perfect square trinomial is 6.25.
Explanation:To complete the square for the given expression y² + 5y, we take half of the coefficient of the linear term (5/2) and square it to find the value to be added. Half of 5/2 is 5/4, and squaring it gives 25/16. Adding 25/16 to the expression yields a perfect square trinomial: y² + 5y + 25/16 = (y + 5/4)².
To write it in standard form, we convert 25/16 to 1.5625. Therefore, the constant term that completes the perfect square trinomial is 1.5625, or 6.25 when expressed as a decimal.
[tex] - 30 = 2(x - 97)[/tex]
English is spoken as the first or primary language in 78 countries than Farsi is spoken as the first language. Together English and Farsi are spoke as a first language in 130 countries. In how many countries is English spoken as the first language? In how many countries is Farsi spoken as the first language.
Answer:
52
Step-by-step explanation:
130 (total)-78=52
If c(x) = 2x^2 - 4x + 3
17. c(3a)
18. c(b^2)
Dora is purchasing a $162,000 home with a 30-year mortgage at 5.15%. What is her monthly principal and interest payment?
A. $829.23
B. $884.56
C. $807.81
D. $876.09
Answer:
Option B is the answer.
Step-by-step explanation:
The formula for EMI is :
[tex]\frac{p\times r\times (1+r)^{n} }{(1+r)^{n} -1}[/tex]
Here p = 162000
r =[tex]5.15/12/100=0.004292[/tex]
n = [tex]30\times12=360[/tex]
Now putting the values in the formula we get,
[tex]\frac{162000\times 0.004292\times (1+0.004292)^{360} }{(1+0.004292)^{360} -1}[/tex]
[tex]\frac{162000\times 0.004292\times (1.004292)^{360} }{(1.004292)^{360} -1}[/tex]
= $884.60 close to option B.
So, option B is the answer.
Bill had a salary of $48,000 last year. This year his salary is $49,920. What is the percent increase of Bill's salary?
Jackets R us is having a 35% off sale at its outlet store this month.todd is figuring the sale price of a winter jacket normally priced at $89.99.
a. Estimate the sale price. Describe how you found your estimate.
b. calculate the amount that todd will pay for the jacket.
Victor and his three friends (4 people all together) are planning to split a pizza. They want to spend at most $5 per person. Find the maximum (at most) cost of the pizza they can order.
A rectangle is 3 times as long as it is wide. The perimeter is 40 feet. Find the dimensions.
Which of the numbers 4, 5, or 6 is a solution of x+7>12
Help me please I want to know the answer
calculate the interquartile range of the following data set: 36, 54, 49, 39, 41, 48, 50
Answer:
14
Step-by-step explanation:
In physics the mass energy equivalence is that the mass of a body is measured by its energy content. This may be written algebraically as E=mc2, where E is energy, m is mass, and c is the speed of light in a vacuum. Transform the equation so that it will be read as a solution for mass, m. Write your answer in a sentence with all the correct labels from above!
greatest common factor of 3 in 10
The greatest common factor of 3 and 10 is 1.
Greatest common factorThe greatest common factor (GCF) of two or more numbers is the largest number that is a factor of all the numbers.
The greatest common factor (GCF) of 3 and 10 is 1. There are no common factors other than 1 that evenly divide both 3 and 10.
Because 3 and 10 do not have any common prime factors, The greatest common factor of 3 and 10 is 1.
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Chris visited the local Pizza Shack to purchase one pizza for each member of his Scout Troop. On arrival, he realised that he had mislaid the list he had made of the pizzas that had been requested. He knew that there were 32 people altogether and that all 3 vegetarians in the Troop wanted mushrooms only. He also remembered that the same number of people wanted just the chicken topping as wanted a plain pizza. Alex, a Young Leader, was able to help by recalling that: 12 people requested toppings that included chicken, 10 requested toppings that included pepperoni, 9 requested toppings that included mushroom, 1 person wanted all 3 toppings, 2 wanted chicken and pepperoni only, 2 wanted peperoni and mushroom only. What was the final order that Chris placed at Pizza Shack?
Hello,
Please, see the attached files.
Thanks.
The graph shows Susan’s distance from her office, in yards, as she runs errands, over time, in minutes.
For which values of t (time) is Susan’s distance from her office decreasing from 70 yd to 0 yd?
A.
from t = 0 to t = 6
B.
from t = 10 to t = 12
C.
from t = 16 to t = 22
D.
from t = 22 to t = 26
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Answer:
angle 5 and angle 4
Step-by-step explanation:
Simplify 8 over -3 divided by -4 over 9
Answer:
2/3
Step-by-step explanation:
you take the problem and write it down then flip the last fraction and multiply them together.
Help me out, my guy!
Which statement describes the solar feature shooting off into space labeled C?
A. An envelope of plasma surrounding the sun
B. A stream of glowing gas that shoots out from the sun in an arch
C. A brief eruption of intense high-energy radiation from the sun's surface
D. A dark spot appearing from time to time on the sun's surface
(There is no subject option for science so I had to use Math sorry.)
Angelo rode his bike around a bike trail that was 1/4 of a mile long. He rode his bike around the trail 8 times. Angelo said he rode his bike a total of 8/4 Miles. Teresa said he was wrong and that he actually rode 2 miles. Who is correct?
whats the answer ?????
what rational number between 9.5 and 9.7
Blake made and 87 on the first semester of algebra 1 . What score can he make on the second semester if he wants his average to be more than a 90 for both semesters? Answer using complete sentences
In Mathematics, to find the average score which is more than 90 over two semesters when the first semester's score is 87, Blake needs to score more than 93 on his second semester.
Explanation:In Mathematics, specifically algebra, finding an average involves adding up all the values and then dividing by the total number of values. In this case, we're trying to find out the minimum possible score Blake needs in the second semester in order for his total average to be over 90.
Let's denote the score in the second semester as 'x'. Since the average is calculated by (first semester score + second semester score)/2, and since Blake wants his average to be more than 90, we express this as:(87+x)/2 > 90.
We now solve for x: Multiply both sides by 2 to get; 87 + x > 180. Then subtract 87 from both sides to solve for x, which yields; x > 93.
Therefore, Blake needs to score more than 93 in his second semester to have an overall average greater than 90 for both semesters.
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what is the slope of a line that is perpendicular to the line that passes through (1,0) and is parallel to y=3x+5
A Ferris wheel has a circumference of 440 feet. What is the approximate diameter of the Ferris wheel? Use 3.14 for pi
BIG Nicks Moving Company unloaded 72% of the 300 boxes they delivered in 30 minutes. How many boxes did they unload each minute?
Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He starts out with only 2 guppies, and the function y equals 2 times 4 to the x models the number of guppies he will have after x months. Which graph represents this function?
In this exercise we have to recognize the graphics given in the images and in this way identify which functions are being represented, in this way we have to:
[tex]y = 2 * (4 ^ x)[/tex]
What is the exponential function?The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable (unknown) in the exponent and the real number (greater than zero and different than one) in the base.
So we know that the graphs are of exponential functions and their form is given by:
[tex]y=a^x[/tex]
With this form we have that the function of the graph is:
[tex]y = 2 * (4 ^ x)[/tex]
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The ratio of girls to boys who participated in the geography bee was 5:4 there were 36 total students how many were boys
Answer:
There are 16 boys and 20 girls