Answer:
8(2x+5y)
Step-by-step explanation:
i used s y m b o l a b *hope this helps :)
7. An emergency cooling system consists of a cooling water tank that has cooling water in it about 92% of the time, an emergency cooling water pump that can be counted on to start when needed about 94% of the time, and an emergency cooling water valve that opens when tripped about 96% of the time. Someone will actually push the emergency button in an emergency about 90% of the time, and it will work when pushed about 98% of the time. What is the probability the emergency cooling system will work when needed
Answer:
the probability the emergency cooling system will work when needed is 80.5%
Step-by-step explanation:
Given the data in the question;
the probability that someone will actually push the emergency button in an emergency from 90% to 99% of the time
E\(_4\) ⇒ Someone will actually push the emergency button in an emergency
P(E\(_4\)) = 90% = 0.90
E\(_4\) : Someone will actually push the emergency button in an emergency
P(E\(_4\)) = 99% = 0.99
P(E) = P(E1) × P(E2) × P(E3) × P(E4) × P(E5)
we substitute
P(E) = 92% × 94% × 96% 99% × 98%
P(E) = 0.8054
P(E) = 80.5%
Therefore, the probability the emergency cooling system will work when needed is 80.5%
A car travels at the rate of 60 miles per hour for 4 hours.
Answer:
the answer is a u s 4
Step-by-step explanation:
that the answer right there
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?
Answer:yes
Step-by-step explanation:66
The given statement A U (B - C) = (A U B) - C is true.
What is a set ?A set is collection of well defined objects.
According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.
Lets consider we have three sets A, B and C and we also consider they intersect each other.
( B - C ) represents the elements which belongs to B but not in C.
∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.
AND
( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.
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whate is answer of 36-[100÷5{60-32(8÷4-1)}]
Answer:
\(67\frac{23}{28}\)
Step-by-step explanation:
\(36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}\)
Make 100 using: 5,5,5,5,5,5,
Answer:
((5 * 5) + 5 - 5 - 5) * 5
Step-by-step explanation:
((5 * 5) + 5 - 5 - 5) * 5
((25) + 5 - 5 - 5) * 5
(30 - 5 - 5) * 5
(25 - 5) * 5
20 * 5
100
Four part spinner is spun twice total number of possible outcomes. What is the probability of spinning pink on both spins? What is the probability of not spinning orange either spin?
Probability of spinning pink on both spins = 1/4 and Probability of not spinning orange on either spin = 9/16.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
If a four-part spinner is spun twice, there are 16 possible outcomes (4 options on the first spin, multiplied by 4 options on the second spin).
To find the probability of spinning pink on both spins, we need to first determine how many outcomes result in pink on both spins. If we label the four parts of the spinner A, B, C, and D, and assume that pink is on part A, then there are four possible outcomes where pink appears on both spins: AA, AB, AC, and AD. Each of these outcomes has a probability of 1/16, since there are 16 total possible outcomes. So the probability of spinning pink on both spins is:
Probability of spinning pink on both spins = (number of outcomes where pink appears on both spins) / (total number of possible outcomes)
Probability of spinning pink on both spins = 4/16
Probability of spinning pink on both spins = 1/4
To find the probability of not spinning orange either spin, we need to determine how many outcomes do not have orange. If we assume that orange is on part B, then there are three outcomes on the first spin that do not result in orange: AB, AC, and AD. On the second spin, there are again three outcomes that do not result in orange: BA, CA, and DA. So there are a total of 3 x 3 = 9 outcomes where orange does not appear on either spin.
Again, each of these outcomes has a probability of 1/16, so the probability of not spinning orange on either spin is:
Probability of not spinning orange on either spin = (number of outcomes where orange does not appear on either spin) / (total number of possible outcomes)
Probability of not spinning orange on either spin = 9/16
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Find the value of 10x and 30
Answer:
x=3
Step-by-step explanation:
10x=30
Divide both sides by the co-efficient of x which is 10
10x = 30/10
10
x =3
Aliyyah.
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
Put these numbers in descending order 0.2 0.92 0.387 0.479
0.92 , 0.479 , 0.387 , 0.2
[See the last first digit after the decimal. I chose 0.92 since 9 is the greater than 2,3 and 4]
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
Help please I need to answer the questions a. b. c. d. e.
I would appreciate it.
1. The concentration will be 0.5 mg/L at 40 hours.
2. The complete table is:
t 0 2 4 6 8 10 12 14 16 18 20c(t) 0 5 4 3 2.35 1.92 1.62 1.4 1.23 1.10 1.003. We deduce that a reasonable domain for this quadratic function is t ≥ 0 or {0, ∞}.
4. The intravenous drug must be administered to the patient between the time interval 1.25 ≤ t ≤ 20.
How to calculate when concentration will be 0.5 mg/L?To get this, we will determine time when the concentration would be 0.5 mg/L. We will substitute value of the concentration and then solve the quadratic function for time (t):
c(t) = 20t/(t² + 4)
0.5 = 20t/(t² + 4)
0.5(t² + 4) = 20t
0.5t² + 2 = 20t
0.5t² + 2 - 20t = 0
t² + 4 - 40t = 0
t² - 40t + 4 = 0
Time t = 38.8998 ≈ 40 hours.
We will now complete table of values:
t 0 2 4 6 8 10 12 14 16 18 20
c(t) 0 5 4 3 2.35 1.92 1.62 1.4 1.23 1.10 1.00
Since the concentration of the drug at time, t = 0 is equal to 0 mg/L and the concentration actually never becomes 0 for any value of t, we can logically deduce that a reasonable domain for this quadratic function is t ≥ 0 or {0, ∞}.
Furthermore, the intravenous drug must be administered to the patient between the time interval 1.25 ≤ t ≤ 20 in order to maintain a concentration above 1 mg/L and below 8 mg/L.
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Below are the final exam scores of twenty introductory statistics students.
57, 66, 69, 71, 72, 73, 74, 77, 78, 78, 79, 79, 81, 81, 82, 83, 83, 88, 89, 94
Create a box plot of the distribution of these scores. The five number summary provided below may be useful.
Min Q1 Q2 (Median) Q3 Max
57 72.5 78.5 82.5 94
This assignment is to be done in R only.
1. For each of the datasets (i and ii) listed below, find:
a. Mean
b. Median
c. Variance
d. Standard Deviation
i. {0,1,1,4,5,5,6}
ii. {-2,-10,5,4,-1,-9,3}
Answer:
Please find the graph in the attachment file.
Step-by-step explanation:
In this question, certain data is missing, that's why we define its diagram only.
The Stock Market Nadia is a stockbroker. She earns 11% commission each week. Last week, she
sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that
same amount each week, how much did she make in commission in 2011?
Last week, she made $
in commission.
Answer:
she made $583 commission last week
she made $30313
Step-by-step explanation:
5300 * .11=583
583 * 52 weeks =30316
Please help See attached photoWorking with system of linear problems not a quiz or homework knowledge check and at the bottom gives you explanation
Large boxes: L, 45 lb
Small boxes: S, 30 lb
There are 125 boxes, then:
\(L+S=125\)The total weight in boxes is 4575 lb:
\(\begin{gathered} 45L+30S=4575 \\ \Rightarrow\frac{45L}{15}+\frac{30S}{15}=\frac{4575}{15} \\ \Rightarrow3L+2S=305 \end{gathered}\)Then, the system of equations is:
\(\begin{cases}L+S=125\ldots(1) \\ 3L+2S=305\ldots(2)\end{cases}\)From (1), L = 125 - S, so we use this on (2):
\(\begin{gathered} 3(125-S)+2S=305 \\ 375-3S+2S=305 \\ S=70 \end{gathered}\)Using this result on (1):
\(\begin{gathered} L+70=125 \\ \Rightarrow L=55 \end{gathered}\)There are 55 large boxes and 70 small boxes
Quadrilateral RSTV is dilated with respect to the origin by a scale factor of 1.5 to produce quadrilateral R'S'T'V' . Vertex R is located at (6, -9). Which ordered pair represents R' after the dilation?
Answer:
(9, -13.5)
Step-by-step explanation:
It's given in the question that a quadrilateral RSTV is dilated with a scale factor of 1.5 with respect to the origin to form R'S'T'V'.
Rule for dilation is,
(x, y) → (kx, ky)
where 'k' is the scale factor.
If vertex R of the quadrilateral is (6, -9),
By the given rule of dilation,
R(6, 9) → R'[(1.5 × 6), -(1.5 × 9)]
→ R'(9, -13.5)
Therefore, Option given in bottom right (9, -13.5) will be the answer.
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
Fully simplify the following expressions
1. (2⁴ x 5⁵)²
2. (2²+5)²
3. 2-²+3 ÷ 2-¹
Answer:
above is the solution to the question
Do the indicated operation: Express your answers in the lowest terms
x/2+x/5
Answer:
7x/10
Step-by-step explanation:
Factor the expression completely over the complex numbers.
y4+14y2+49
Enter your answer in the box.
Students in a school were surveyed about their study habits. Forty-two percent of students said they study on weeknights and weekends, 47% said they studied on weekends, and 65% said they study either on weeknights or weekends. If you were to pick one student at random, what is the probability that he or she studies on a weeknight?
Answer:
0.6 = 60% probability that he or she studies on a weeknight.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Probability A: Probability of a student studying on weeknights.
Probability B: Probability of a student studying on weekends.
Forty-two percent of students said they study on weeknights and weekends
This means that \(P(A \cap B) = 0.42\)
47% said they studied on weekends
This means that \(P(B) = 0.47\)
65% said they study either on weeknights or weekends.
This is \(P(A \cup B) = 0.65\)
If you were to pick one student at random, what is the probability that he or she studies on a weeknight?
This is P(A), and the equation used is:
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
Considering the values we have:
\(0.65 = P(A) + 0.47 - 0.42\)
\(0.05 + P(A) = 0.65\)
\(P(A) = 0.6\)
0.6 = 60% probability that he or she studies on a weeknight.
Answer: 60% joaobezerra Is Right, and Confirmed by Buzz (Acceleration Education)
Step-by-step explanation:
We solve this question by treating these events as Venn probabilities. Forty-two percent of students said they study on weeknights and weekends. This means that 47% said they studied on weekends. This means that 65% said they study either on weeknights or weekends. This is If you were to pick one student at random, what is the probability that he or she studies on a weeknight?
0.6 = 60% that he or she studies on a weeknight.
one strand of lights for a Christmas tree 250 light bulbs. If 20% of the light bulbs are green how many light bulbs on the strand of light are green?
Answer:
20% of 250 is 50
A worker's annual income is £3,000 if the first £500 is tax free and on the remaining amount tax is paid at the rate of 5 penny per pound; find the total tax paid by the man. A. £125 B. £150 C. £175 D. £350 E. £650
Answer:
The taxable income is £3000 - £500 = £2500.
The tax paid at the rate of 5 penny per pound is:
0.05 x £2500 = £125
Therefore, the total tax paid by the man is £125. Answer: A. £125
Step-by-step explanation:
At a hospital 35% of all babies are born during the night. Which answer below represents the fraction of babies born at night?
Answer:
DO NOT ask questions here its a full scam my guy I for asking a hard question TRY Khan or RBL Groups
Step-by-step explanation:
I GOT 100+ HELP ON RBLX GROUPS IN 24 HOURS
Answer:
7/20
Step-by-step explanation:
Because 35% is 35/100 and then you it and you get 7/20
Just Plz hlep if u are nice and want 10 pts
Answer:
Exact Form:
20/10
Decimal Form:
2.9
Mixed Number Form:
2 9/10
Step-by-step explanation:
Write 0.000000624 in scientific notation
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
To make a trail mix you must have 4 cups of pretzels
and 2 cups of bread chips. What is the ratio of
pretzels to bread chips?
Someone please help
Answer:
1:2
Step-by-step explanation:
You do 4:2 then divide 2 on each side which is 1:2
Find the x-intercept of the line that passes through (-3,4) and is perpendicular to the graph of x-2y=7
Answer:
x - intercept = - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x - 2y = 7 ( subtract x from both sides )
- 2y = - x + 7 ( divide through by - 2 )
y = \(\frac{1}{2}\) x + \(\frac{7}{2}\) ← in slope- intercept form
with slope m = \(\frac{1}{2}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{2} }\) = - 2 , then
y = - 2x + c ← is the partial equation of the perpendicular line\to find c substitute (- 3, 4 ) into the partial equation
4 = 6 + c ⇒ c = 4 - 6 = - 2
y = - 2x - 2 ← equation of perpendicular line
to find the x- intercept let y = 0 into the equation and solve for x
- 2x - 2 = 0 ( add 2 to both sides )
- 2x = 2 ( divide both sides by - 2 )
x = - 1
the x- intercept of the perpendicular line is - 1 or (- 1, 0 )
If anyone can help with any of these probability questions, I'll give more points and brainiest!! Idaho Jones regains consciousness and next to her are 4 blodegradable packing peanuts. 5 seconds later each peanut has split in half, and each half grows into a full-size peanut. This repeats in the next 5 seconds. She sees a door with a keypad. A sign next to it has a timer indicating 10 seconds have passed and says the code is the number of peanuts when the timer reaches 100. (After 10 secords there were 16 peanuts.) Idaho realizes she must escape before then or the peanuts could suffocate her. Show how she figures out the code to open the door, and write what the code is
A mans
Idaho gets out and closes the door behind her. She is in a room with one exit, and the lock requires a key. There's a table with a briefcase that is also locked. It has a three-digit combination. The first part of the combination is on a wheel with all 10 digits. The second wheel has only 5 digits, and the third has 3 digits. How many combinations are possible?
150
combinations
The briefcase holds a key and out Idaho goes. She is met by an enchanted skeleton that directs her to a wall where a shelf has room for 5 books. The 5 ancient books are on the floor. She puts them on the shelf, but nothing happens. She realizes they must be put in the correct order. How many attempts will Idaho need to make if she doesn't get it right until her last attempt
Answer: let me explain!
Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P
So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!
It’s 20!
So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)
So that answer would be 8x*twenty twos*
Which is…*drumroll please*
8,388,608
I even double checked!
And for the briefcase skeleton thing
She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!
Hope this helps :P
Does anyone know the answers? Need help!!
Answer:
nice handwriting
Step-by-step explanation: