Answer:
Step-by-step explanation:
Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]
1). Probability of getting the red crewmate,
[tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]
Probability of getting a chef hat,
[tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]
Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{2}\times \frac{1}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
2). Probability of getting blue crewmate,
[tex]P_1=\frac{2}{6}[/tex]
[tex]=\frac{1}{3}[/tex]
Probability of getting an egg hat,
[tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]
Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{3}\times \frac{1}{4}[/tex]
= [tex]\frac{1}{12}[/tex]
3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]
Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]
Probability of getting a green crewmate and banana hat
= [tex]\frac{1}{6}\times \frac{3}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
Simplify.
12 + 15 : 3x6 - 4
Answer:
Step-by-step explanation:
Divide the numbers
12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4
what is the final position of (-7) + (-2) on a number line ?
Answer:
answer is A, source: a calculator
Step-by-step explanation:
if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION
Answer:
Step-by-step explanation:
It’s 9 because you make 7 and 2 a positive number
Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.
Answer:
-2
Step-by-step explanation:
ur welcome
-1
Step-By step Explanation:
Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?
Answer:
.........................
Answer:
200
Step-by-step explanation:
she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
Count by 5’s starting with 99
104, 109, 114, 119, 124, 129, 134, 139, 144, 149
hehe
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
Which function could be represented by the graph on the
coordinate plane?
Answer:
f(x)=(x-8)^2 -6
Step-by-step explanation:
Which value is equivalent to the expression 4^5
Answer:
20
Step-by-step explanation:
Solve for u .
-24 = u ÷ 6
u =
Answer:
[tex]u = - 144[/tex]
Step-by-step explanation:
[tex] - 24 = u \div 6[/tex]
[tex] - 24 \times 6 = u[/tex]
[tex] - 144 = u[/tex]
to be sure
[tex] - 24 { = }^{?} - 144÷6[/tex]
[tex] - 24 = - 24[/tex]
Answer:
u = -144
Step-by-step explanation:
-24 = u ÷ 6
Multiply both side by 6.
-24 × 6 = u ÷ 6 × 6
-144 = u
Verification:-
-24 = -144 ÷ 6
-24 = -24
LHS = RHS
A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3
B= 348.3 cm3
C= 673.8 cm3
D= 2926.1 cm3
Answer:
Option D: 2926.1 cm³
Step-by-step explanation:
Dimensions of the cylidrincal soup can are given as;
Radius; r = 8.4 cm
height; h = 13.2 cm
Formula for area of cylinder is;
A = πr²h
Plugging in the relevant values gives;
A = π × 8.4² × 13.2
A = 2926.05 cm³
Approximating to the nearest tenth gives;
A = 2926.1 cm³
16 liters to quarts (dry measure)
Answer:
16 litres =14.53 US qt dryStep-by-step explanation:
Please mark my answer as a brainliest. ❤❤❤Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?
Step-by-step explanation:
4 different vehicles,
2 different paints,
2 different seats.
Total number of combinations = 4 * 2 * 2 = 16.
how many men have a waist measurement of more than 85cm
Answer:
29
Step-by-step explanation:
7x+8y=-23
3x - 16y= 29
Answer:
(-1, -2)
Step-by-step explanation:
What is the GCF of the expression -x2y22 - xy2z?
Answer:
i dont onderstand Thais
HELPPPPP ME PLEASEEEE
the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3
What is the product of 12 and 5 decreased by 17
Answer:
43
Step-by-step explanation:
Answer: 43
Step-by-step explanation:
12x5-17 would be the equation
60-17 multiplication due to PEMDAS
43 subtraction
Harry's amount of money is 75% of Kayla's amount of money
Answer:
Add vaslues
Step-by-step explanation:
How much money does kayla have?
4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?
Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.
Balanced equation: 1N2 (g) + 3H2(g) 2NH3(g)
Molar mass of H2 = g/mol
100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3
Molar Mass of N2 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3
A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product
B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product
C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3
Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have
100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂
Hydrogen (H) has a molar mass of about 1.008 g/mol, so
100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂
In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have
3.570 • 3 ≈ 10.71
so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.
(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.
(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.
(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or
7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃
Write the data from greatest to least: 0.8, 0.79, 0.08, 0.81, 0.09, 0.9, 0.89
Answer:
0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08
Step-by-step explanation:
Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8
Step-by-step explanation:
First find the greatest
0.09, 0.89,0.81, 0.08, 0,79
Then the least
0.9 .0.8
Now put it all together
0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
Please please please hellllllppp meeeeee !!!!!!!!!
HELP!!! STATS!!!
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time.
Stats question, I'm really stck please help me!
Answer:
The 99% confidence interval is [tex] 165.776 < \mu < 180.224 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 173 \ days[/tex]
The population standard deviation is [tex]\sigma = 28 \ days[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.58 * \frac{28 }{\sqrt{100} }[/tex]
=> [tex]E = 7.224 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 173 -7.224 < \mu < 173 + 7.224 [/tex]
=> [tex] 165.776 < \mu < 180.224 [/tex]
complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
BRAINLIST AND MANY OTHERS THINGS
Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location?
Answer:
1, 0
Step-by-step explanation:
Just go on a chart graph and do what it asks and you get that.
(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!
Answer:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Step-by-step explanation:
1)
Given the expression
[tex]10!\times \:20![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]
[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
Now, multiplying the result
[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
so
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
Thus, we conclude that:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
2)
Given the expression
[tex]17!\:\times \:9![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]
[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
Now, multiplying the result
[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
so
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Thus, we conclude that:
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Need help geometric sequences see pic for details
Given:
The recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]
[tex]a_1=-3[/tex]
To find:
The explicit formula of the given geometric sequence.
Solution:
We know that, first term of geometric sequence is [tex]a_1=-3[/tex].
Recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\times r[/tex] ...(i)
where, r is common ratio.
We have,
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]r=\dfrac{1}{8}[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=a_1r^{n-1}[/tex]
Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get
[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]
Therefore, the correct option is D.