Answer:
[tex]P(TTTTT) = \frac{1}{32}[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- toss
See comment for complete question
Required
[tex]P(TTTTT)[/tex]
First, we calculate the number of possible outcomes
A coin has 2 faces; Since the coin is to be tossed 5 times;
[tex]Outcome = 2^5[/tex]
[tex]Outcome = 32[/tex]
There is only one outcome of TTTTT;
So:
[tex]P(TTTTT) = \frac{1}{32}[/tex]
A principal P is to be invested at continuous compound interest of 1.9% to yield $50,000 in 20 years. What is the approximate value of P to be invested?
You may need to delete the dollar sign and/or the comma when typing in the answer.
=======================================================
Work Shown:
[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]
Side note: the 'e' is a special constant roughly equal to 2.71828...
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within with % confidence if (a) she uses a previous estimate of ? (b) she does not use any prior estimates?
Answer:
732 samples ;
752 samples
Step-by-step explanation:
Given :
α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42
Using the relation :
n = (Z² * p * (1 - p)) / M.E²
Zcritical at 90% = 1.645
n = (1.645² * 0.58 * 0.42) / 0.03²
n = 0.65918769 / 0.0009
n = 732.43076
n = 732 samples
B.)
If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5
n = (Z² * p * (1 - p)) / M.E²
Zcritical at 90% = 1.645
n = (1.645² * 0.5 * 0.5) / 0.03²
n = 0.67650625 / 0.0009
n = 751.67361
n = 752 samples
The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 30% are paid with a credit card, and 40% with a debit card. Twenty percent of the cash purchases, 90% of the credit card purchases, and 60% of the debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash?
Answer:
Hence the probability that she paid cash is 0.105
Step-by-step explanation:
P(cash) = 0.3
P(credit card ) = 0.3
P(debit card ) = 0.4
P ( more than $50 | cash ) = 0.2
P (more than $50 | credit card ) =0.9
P (more than $ 50 |debit card ) = 0.6
P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )
= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4
= 0.57
P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)
= 0.2* 0.3 / 0.57
= 0.105
solve each question please thank you
Answer:
SURE
Step-by-step explanation:
You think that $39,500 is a good salary and are interested in a job with Fast Pax. What other information might you want to know about Fast Pax salaries, and why?
Julio has a net pay of $ 537.00 each paycheck. He pays $ 142.00 in pre-tax deductions and taxes each paycheck. What is Julio's gross income before the tax deductions?
Answer:
Julio's gross income before the tax deductions is $ 405.
Step-by-step explanation:
Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:
547 - 142 = X
405 = X
Therefore, Julio's gross income before the tax deductions is $ 405.
fine x and y alpha ln trigonometry ln triangles
Step-by-step explanation:
it is easy to get a answer go to web
Pleaseee helllppppp!
Given:
The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex].
To find:
The value of [tex]\sin \theta[/tex].
Solution:
If the terminal point of [tex]\theta[/tex] is [tex](x,y)[/tex], then
[tex]\sin \theta = \dfrac{y}{\sqrt{x^2+y^2}}[/tex]
The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]. So,
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\left(\dfrac{1}{2}\right)^2+\left(\dfrac{\sqrt{3}}{2}\right)^2}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\dfrac{1}{4}+\dfrac{3}{4}}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{1}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{1}[/tex]
[tex]\sin \theta =\dfrac{\sqrt{3}}{2}[/tex]
Therefore, the correct option is B.
Find the probability of obtaining exactly one tail when flipping 3 coins. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. Please help me figure this out
Answer:
3/8
or
.375
Step-by-step explanation:
This is a binomial distribution
[tex]{3\choose1}*.5*(1-.5)^2=.375[/tex] or 3/8
I need help with this
Answer:
[see below]
Step-by-step explanation:
Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]
(0, -2) - > (0, 2)
(5, -1) - > (5, 1)
(2, -4) - > (2, 4)
A'B'C' should be (0,2), (5,1) and (2,4). (Or option B)
Hope this helps.
Please help! Brainiest will be given for correct answers only.
Answer:
see below
Step-by-step explanation:
x^2 + 10x+25 =0
This is the sum of squares
(x+5)^2 =0
x = -5 one solution
x^2 +5x = 0
x(x+5) = 0
x=0 x=-5 two solutions
x^2 -10x +25 = 0
This is the difference of squares
(x-5)^2 = 0
x=5 one solution
x^2 -25 =0
x^2 = 25
x = ±5 two solutions
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]
one solution[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]
two solution[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]
one solution[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]
two solutionYour help is very much appreciated and I will mark you brainliest:)
9514 1404 393
Answer:
(c) Yes, SSS
Step-by-step explanation:
The three pairs of corresponding sides have the same ratio:
12/8 = 15/10 = 21/14 = 3/2
The triangles are similar by SSS.
_____
No angles are shown, so SAS and AAA cannot apply.
Sand, gravel and cement are mixed in a ratio of 5 : 10 : 3 to make concrete. If 35 shovels of sand are used, how many shovels of gravel, and how many shovels of cement are used?
Answer:
70 shovels of gravel, and 21 shovels of cement.
Step-by-step explanation:
35/5 = 7.
10 x 7 = 70, which is the number of shovels for gravel.
3 x 7 = 21, which is the number of shovels for cement.
Given m||n, find the value of x.
+
126
m
.
Answer:
54
Step-by-step explanation:
They are supplementary and add to 180 so subtract 126 from 180 and you get 54
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 35113511 grams and a variance of 253,009253,009. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 46174617 grams. Round your answer to four decimal places.
Answer:
The answer is "0.1397".
Step-by-step explanation:
[tex]\mu=3511\\\\[/tex]
variance [tex]\ S^2= 253,009\\\\[/tex]
standard deviation [tex]\sigma =\sqrt{253,009}=503\\\\[/tex]
Finding the probability in which the weight will be less than [tex]4617 \ grams\\\\[/tex]
[tex]P(X<4617)=p[z<\frac{4617-3511}{503}]\\\\[/tex]
[tex]=p[z<\frac{1106}{503}]\\\\=p[z< 2.198]\\\\= .013975\approx 0.1397[/tex]
A dress is on sale for $98. What was the original price of the dress if the discount was 1/3 of the original price?
The original price of the dress is $294 if the dress is on sale for $98.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A dress is on sale for $98.
Discount price = (1/3)original price
Let x be the original price of the dress.
We can make a mathematical equation:
(1/3)x = 98
x = $294
Thus, the original price of the dress is $294 if the dress is on sale for $98.
Learn more about the fraction here:
brainly.com/question/1301963
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What is the answer for -7 x 7 please say the explanation too.
-7 x 7 = -49
We can first figure out 7 x 7, which will be 49. Once we have that, we can look at our negatives. If we have an odd number of negative signs, the answer will be negative. If we have an even number of negative signs, the answer will be positive. In this case, we only have 1 negative sign, and 1 is odd, therefore our answer will be odd.
ANSWER: -49
Hope this helps!
Answer:
-49
Step-by-step explanation:
i cant find a way to explain but you can count or use a table
Find cos(2x) from the given information. tan(x)= 9/8, x in quadrant I
Answer:
cos2x=-17/145
Step-by-step explanation:
Recall cos2x=cos^2x-sin^2x
Or cos2x=cos^2x-(1-cos^2x)*
Or cos2x=2cos^2x-1**
*By a Pythagorean Identity
**Combined like terms
I'm going to use third identity from above because I only have to find cosx or cos^2x to get requested answer for cos2x.
Recall Pythagorean identity 1+tan^2x=sec^2x.
Plug in our tangent valuem...
1+(9/8)^2=sec^2x
1+81/64=sec^2x
145/64=sec^2x
Cosine and secant are reciprocals of each other.
64/145=cos^2x
Now we are ready to plug in and get final answer:
cos2x=2cos^2x-1
cos2x=2(64/145)-1
cos2x=128/145-1
cos2x=-17/145
Convert the following expression into prefix-p notation (Scheme statement):
10 + (5 - 3) + 2 / 4
Answer:
12.5
Step-by-step explanation:
The probability that a school wins their first game in the national college basketball tournament is related to the rank they have going into the tournament. This can be expressed by the equation y=−6.39x+104 where x is their rank (out of 16) and y is the percent chance they have of winning their first game
According to the model, a school ranked #3 has what probability of winning their first game? Round your answer to the nearest percent.
A. 76%
B. 85%
C. 105%
D. 93%
Answer:
According to the model, a school ranked #3 has 85% probability of winning their first game.
Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below. Looking at the table of samples means, which value is the best estimate of the mean of the population?
Answer:
Where is the table cant help unless shown
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
12< average >16
14 is the only one in between 12 and 16.
or.....................................................................................................
12 + 16 + 13 = 41.
41/3 = 13 2/3.
13 2/3 rounds to 14 and it's the closest to it.
What is the range of the function on the graph
Answer:
The range of the function is all the possible y-values.
Correct answer is the last answer
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
Answer:
False, false
Step-by-step explanation:
I’m not 100% sure but I think that’s the correct answer
Dave's favorite recipe (spaghetti pie) calls for 20 ounces of ground sausage. Since it's awesome, everybody wants some, so he decided to make five pies and pass them out to the select few in his inner circle. The sausage comes in one-pound tubes. How many tubes did Dave need, and how many grams of delicious sausage were left over for his omelet the next morning
Answer:
hi
Step-by-step explanation:
Plzz help me with my summer school work
Determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the differential equation given, a1(x) dy/dx + a0(x)y = g(x). (y8 − 1) dx + x dy = 0; in y; in x
This equation is linear in x but not in y. You can rewrite it as
(y ⁸ - 1) dx + x dy = 0
==> (y ⁸ - 1) dx/dy + x = 0
Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/6, 1/12, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 64% of the time, while rainy and foggy conditions each occur 18% of the time.
What is the probability that an accident results in a death? Round your answer to three decimal places (e.g. 98.765).
shining dnkxdvsuxnxkjdndnx
What is the area of parallelogram ABCD?
A)13 square units
B)14 square units
C)15 square units
D)16 square units
Answer:
c 15 square units
Step-by-step explanation:
it is very easy
Which inequality best represent that ice cream at -3°C is cooler than ice cream at 1°C?
Its Option 2
-3°C < 1°C
Explanation:
The best possible interpretation will be the above.
To show -3 cooler we will use this sign <
Must click thanks and mark brainliest
Which table represents a linear function? Y X y 7 1 XEM 1 N N 9 13 21 Ž 3 -- 4 2 4 O 6 16 30. witch table is a liner function.
Answer:
1st option (top left)
Step-by-step explanation:
1st option represents a linear function
y = x/2
Answered by GAUTHMATH
