Answer:
5/33
......................................................
Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?
Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
[tex]\mathbf{n = 10}[/tex] --- total number of students
[tex]\mathbf{Boys = 4}[/tex] --- total number of boys
[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]
The selection is without replacement.
So, we have:
[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]
Substitute known values
[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]
[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]
Simplify
[tex]\mathbf{P = \frac{1}{3}}[/tex]
Hence, the probability is 1/3
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27.65 rounded to the second decimal place
Answer:
To the second decimal place would be 28 because 27.65 is closer to 28 than 27. Hoped this helped.
The nth term of a sequence is 3n2 - n + 10 where n is a positive integer. Which term in the sequence is equal to 54?
Answer:
4th term
Step-by-step explanation:
Equate the nth term formula to 54 and solve for n
3n² - n + 10 = 54 ( subtract 54 from both sides )
3n² - n - 44 = 0
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × - 44 = - 132 and sum = - 1
The factors are - 12 and + 11
Use these factors to split the n- term
3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )
3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term
(n - 4)(3n + 11) = 0
Equate each factor to zero and solve for n
n - 4 = 0 ⇒ n = 4
3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]
Since n > 0 then n = 4
The 4th term of the sequence is 54.
What is a sequence ?A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.
According to the given question the nth term of a sequence is 3n² - n + 10.
We have to determine which term is equal to 54 or the value of and it must be an integer.
So, 3n² - n + 10 = 54.
3n² - n - 44 = 0.
3n² - 12n + 11n - 44 = 0.
3n(n-4) +11(n-4) = 0.
(3n+11) = 0 OR (n-4) = 0.
n = - 11/3 OR n = 4. ( given the term no. is a positive integer ).
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A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
percentage change divided by real value, *100.
421-376 = 45
45/421 = approx. 0.10688361
*100 = 10.6%
Step-by-step explanation:
A train traveling 200 miles per hour for 1 1/2 hours covers the same distance as one traveling at 75 miles per hour for how many hours?
Answer:
4
Step-by-step explanation:
200 * 1 1/2 = 300 miles traveled
300/75 = 4 hours
Find the perimeter. Simplify your answer.
Answer:
perimeter=32t units
Step-by-step explanation:
let:
a=8t-2
b=8t+2
perimeter=2(a+b)
Subtitute values of a and b:
=2(8t-2+8t+2)
=2(16t)
=32t units
can someone pls give me an example of an area of a trapezium
Answer:
I got this from one of my textbook for the previous years
Hope this helps:)
I need help asap look at last question
Answer:what’s the question
Step-by-step explanation:
Answer:
i answer your question correctly, please mark it as brainliest and thank you.
Distribution property of-6(9-9n)
Answer:
you multiply the -6 by whats in the parenthesis. so it would be -54, and 54n. Because two negatives make a positive
Hope this helped!
Step-by-step explanation:
can someone help me on this one plss i REALLY need this for school
Answer:
0.9 + n = 5.2
Step-by-step explanation:
Think about it, 0.9 increased by a number is 5.2
In other words, increasing 0.9 by a number will equal 5.2
So, increasing = adding, right?
Adding 0.9 to a number will equal 5.2
0.9 + n (a number) = 5.2
4|x-8|+1>_5 ASAP please
Answer:
x ≤ 7 or x ≥ 9
Step-by-step explanation:
4|x - 8| + 1 ≥ 5
Subtract 1 from both sides.
4|x - 8| ≥ 4
Divide both sides by 4.
|x - 8| ≥ 1
x - 8 ≤ -1 or x - 8 ≥ 1
x ≤ 7 or x ≥ 9
Your current salary is $32,000 per
year. If you get a 4% raise, how
much will you make now per year?
Answer:
$128,000 per yearStep-by-step explanation:
32,000
×. 4
Answer:
$33,280
Step-by-step explanation:
Since your salary is $32,000, you would take 4% from $32,000 and add it to the current salary. 4% can be shown as .04 in decimal form. If you multiply 32,000 by .04 you get 1280. Add 1,280 to 32,000 and you get 33,280.
f(x) = 5x – 2
slope of f =
Answer:
? we dint know
Step-by-step explanation:
What is 7/10+1/2 as fraction
Answer:
6/5 or 1 1/5
Step-by-step explanation:
Make a common denominator: 1/2 is equal to 5/10
7/10+5/10=12/10
12/10 simplified is 6/5
write 400+5 in standerd form?
Answer:
405
Step-by-step explanation:
Answer:
405
Step-by-step explanation:
Please help. I need to get this right.
Answer:
∡SYZ = 34.2°
∡XYZ = 68.4°
Step-by-step explanation:
∡SYZ = 34.2° this must be true because this angle is congruent to ∡XYS
∡XYZ = 68.4° this must be true because ∡XYZ = ∡WYS + ∡SYZ
Home Schoology
d. 42
3. The museum has 35 molecule models. They need
to be packaged 4 to a box. After 8 boxes are
filled, how many models will be left?
a. 3
b. 2
c. 1
d. 0
Which one is the answer
Step-by-step explanation:
there are 35 in total.
4 go into one box.
so, how many in 8 boxes ?
well, 4×8 = 32
what is the difference between 32 and 35 ?
35 - 32 = 3
so, 3 models are still left.
I NEED THIS ASAP!!
Compare -7 and 5. Which statement is not true?
O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.
emma makes 21 laps during a 5 minute song how many laps per minute did emma make how do I show my work?
Answer:
4.2 laps per minute
Step-by-step explanation:
21laps/5min = 4.2laps/1min
Timmy is 6 feet tall and casts a 10-foot shadow. Nikki casts a 9-foot shadow. How tall is Nikki?
Answer:
5.4 im pretty sure
Step-by-step explanation:
can you please help me
Answer:
i think it's the 6th option
Step-by-step explanation:
Find the zeros of the function.
h(x) = x2 + 19x + 84
Answer:
X=7
Step-by-step explanation:
x-12)=0
x-12+12=0+12
x=12
Solve:
(x-7) = 0
x-7+7 = 0+7
x=7
A recipe calls for 1/2 cup of flour for every 8 teaspoons of milk.How much flour should be used for 4 teaspoons of milk?
Answer:
I think it's probably 1/4
Step-by-step explanation: It's probably 1/4 since you are really only taking away both of the ones and then dividing 2 and 8 that equals 4 so then you add the only 1 of the the ones and then you get 1/4
Find the perimeter. Simplify the answer.
Answer:
34p - 16
Step-by-step explanation:
Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10
Perimeter = 16p + 18p + 4 - 20
Perimeter = 34p - 16
-Chetan K
we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]
ok done. Thank to me :>
[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]
[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}[/tex]
5400 ÷ 300000
[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}[/tex]
[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]
Answer:
[tex]5400 \div 300000 \\ \\ = 0.018[/tex]
A polyhedron has 6 faces and 7 vertices, how many edges does it have explain your answer
Indeed it in 5mins hurry plsssss
Answer: 12
Step-by-step explanation:
PLEASE HELP EXPLANATION 100 POIUNTS
Answer:
y=55
z=38
x=84
Step-by-step explanation:
Important thing to understand is that the angles in a triangle all add up to 180
A straight line also has an angle measure of 180
In the triangle on the left hand side. You can find y pretty easily
35+90 ( the angle is marked as a right angle) = 125
180-125 = 55
so y = 55
z can be found the same way
52+90 ( again marked) = 142
180-142 = 38
so z = 38
Since a straight line has a angle measure of 180 we can find x
z+y+x = 180
38+55+x=180
96+x=180
x=84
z:-
180-52-90180-14238°x
x+z=35+90x+38=125x=87°y:-
180-90-35180-12555°Find two positive numbers whose difference is 13 and whose product is 230
Answer:
23 and 10
Step-by-step explanation:
23 - 10 = 13
23 * 10 = 230
Answer:
10 and 23
Step-by-step explanation:
A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW
Answer:
IS LINEAR
Step-by-step explanation:
Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old
Answer:13 years,1 month, and 29 days
Step-by-step explanation: