Answer:
In total they both lost 150 pennies.
Step-by-step explanation:
Since Dante and Mia have 350 pennies in their piggy banks, altogether, and after Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left, to determine how many pennies did they lose altogether the following calculation must be performed:
350 = 200 + 150
200 - (200/2) = 200 - 100 = 100
150 - (150/3) = 150 - 50 = 100
Therefore, in total they both lost 150 pennies.
A ball is thrown straight down from the top of a building at a velocity of 16 ft/s. The building is 480 feet tall, and the acceleration due to gravity is 32 ft/s2.
This problem can be represented using the following equation.
How much time will the ball take to reach the ground? (1/2)32t^2+16t=480
Answer:
Time, t = 5 seconds.
Step-by-step explanation:
Given the following data;
Initial velocity = 16 ft/s
Height = 480 ft
Acceleration due to gravity = 32 ft/s²
To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;
[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]
Where;
d is the displacement.Vi is the initial velocity.a is the acceleration or acceleration due to gravity.t is the time measured in seconds.Substituting into the equation, we have;
[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]
[tex] 480 = 16t + 16t^{2} [/tex]
Dividing all through by 16, we have;
[tex] 30 = t + t^{2} [/tex]
Re-arranging the quadratic equation, we have;
[tex] t^{2} + t - 30 = 0 [/tex]
We would solve the quadratic equation by factorization;
[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]
[tex] t(t + 6) - 5(t + 6) = 0[/tex]
[tex] (t + 6)(t - 5) = 0 [/tex]
t = -6 or 5
Since we know time can't be negative, we would ignore the value of -6.
Therefore, time = 5 seconds
PLEASE PLEASE HELP ME
17 and 4, the two y values, are in the wrong place and should be swapped
Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3
Show work please
Answer:
0.333
Step-by-step explanation:
2^4-6(6)+3(6)÷2×3
=16-36+18÷6
=-2÷6=0.333
IN OPQ, the measure of Q= 90, OQ=12, PO= 13, and QP=5. What ratio represents the cosine of O?
Answer:
12/13
Step-by-step explanation:
The cosine of O
= QO / PO
= 12 / 13
.
Which of the following is equivalent to “the product of 2 and 3 is increased by 7”?
A. (2 + 3) + 7
B. 2(3) + 7
C. (2 + 3) – 7
D. 2(3) – 7
Answer:
its B beacause i checked multiple times
A binomial distribution has p = 0.60 and n = 40. a. What are the mean and standard deviation for this distribution? b. What is the probability of exactly 27 successes? c. What is the probability of fewer than 30 successes? d. What is the probability of more than 20 successes?
Answer:
a) mean = 24, standard deviation = 3.098386
b) the probability of exactly 27 successes is 0.08265
c) the probability of fewer than 30 successes is 0.96478
d) the probability of more than 20 successes is 0.8702
Step-by-step explanation:
Given the data in the question,
p = 0.60
n = 40
a) mean and standard deviation;
mean = np = 40 × 0.6
mean = 24
we know that Variance = np( 1 - p )
so standard deviation S.D = √( np( 1 - p ) )
S.D = √( 40 × 0.6( 1 - 0.6 ) )
S.D = √( 24( 0.4) )
S.D = √9.6
S.D = 3.098386
standard deviation = 3.098386
b) the probability of exactly 27 successes
P( x=27 ) = ⁴⁰C₂₇ × ( 0.6 )²⁷ × ( 0.4 )⁽⁴⁰⁻²⁷⁾
= ⁴⁰C₂₇ × ( 0.6 )²⁷ × ( 0.4 )¹³
= [40! / ( 27!( 40 - 27 )! )] × ( 0.6 )²⁷ × ( 0.4 )¹³
= 0.08265
Hence, the probability of exactly 27 successes is 0.08265
c) the probability of fewer than 30 successes.
P( x < 30 ) = 1 - P( x ≥ 30 )
= 1 - 0.3522248
= 0.96478
Hence, the probability of fewer than 30 successes is 0.96478
d) the probability of more than 20 successes.
p( x > 20 ) = 1 - P( x ≤ 20 )
= 1 - 0.1297657
= 0.8702
Hence, the probability of more than 20 successes is 0.8702
Find the value of x.
16
24
9. I am a 3-digit number. My hundreds digit is the square of my ones digit. My tens digit is the product of my hundreds digit and my ones di
Answer:
482
Step-by-step explanation:
4 is the square of 2 and 2*4 = 8.
its a multiple choice please answer.
Answer:
Last option (1/2)^3 = .125
Step-by-step explanation:
1/2 (1.035)^5 =0.579637
(2/3)^2 = 4/9 = .4444
.2^2/.3^2 = 0.04/0.09 = .44444
(1/2)^3 = 1/8 = .125
So we can clearly see the last one as the answer
Evaluate the expression below:
7 • (10 + 3 ) – 82
Answer:
Its 9.
Step-by-step explanation:
First you do the math inside the parenthesis (13), then your gonna multiply 7 by the numbers you got in the parenthesis (7*13), finally subtract 82 from 7*13 and you get your answer, 9.
( 10+3)-82= -69
13- 82 =69
-6 - (-8) x 5 ÷ (-10)
Answer:
- 10
Step-by-step explanation:
-6+8×5÷-10
-6+40÷-10
-6-4
-10
Answer and Step-by-step explanation:
According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),
First we multiply, then divide, then finally add/subtract.
-8 times 5 is -40.
-40 divided by -10 is 4.
-6 - 4 = -10
The answer to the expression is -10.
#teamtrees #PAW (Plant And Water)
Which statement about angle 0 is true
Answer:
3/5
Step-by-step explanation:
We calculate the value of cos for an angle by dividing the adjacent angle to hypotenuse so the option with 3/5 (simplified fraction of 18/30) is the correct answer.
Factorizie completely 2ap+aq-bq-2bp
Answer:
2ap + aq - bq -2bp = (a - b)(2p + q)
Step-by-step explanation:
(2ap + aq) - (bq -2bp)
a(2p +q) -b(q + 2p) [ taking a common from the first, and b from the second]
(2p + q) [a - b] [takin (2p + q)]
(2p + q)(a - b)
The completely factored form of the expression 2ap + aq - bq - 2bp is
(a - b)(2p + q).
In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.
Given expression: 2ap + aq - bq - 2bp
Step 1: Look for common factors.
Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.
Step 2: Factor out the common terms.
We can factor 'a' from the first two terms: a(2p + q)
And factor '-b' from the last two terms: -b(q + 2p)
Step 3: Rearrange the expression.
Now we have: a(2p + q) - b(q + 2p)
Step 4: Factor by grouping.
We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)
Step 5: Final result.
Thus, the completely factored form of the given expression is
(a - b)(2p + q).
To know more about Factorize here
https://brainly.com/question/14549998
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Which expression is the radical form of x^3/4
78, 68, 75, 65, find the next term
Answer:
73,63
Step-by-step explanation:
it just goes down by 2 everytime
Triple XXX Restaurant, a historic and popular diner in West Lafayette, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order French fries is 0.50. The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.
==========================================================
Explanation:
Define the events
D = person orders a drinkH = person orders a hamburgerF = person orders friesThe given probabilities are
P(D) = 0.90P(H) = 0.60P(F) = 0.50P(F given H) = 0.80The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
----------------------
We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.
Please help Me!!! I will try to give brainliest
9514 1404 393
Answer:
D. 30
Step-by-step explanation:
3 3/4 inches on the map is 15/4 inches = 15×(1/4 inch).
Then the actual distance is 15×(2 miles) = 30 miles.
Answer:
D) 30
Step-by-step explanation:
1/4 inch = 2 miles
How many 1/4's do you have?
3 3/4 inches= 15/4 inches
15 x 2 = 30
Algebra 2 plz help me out
9514 1404 393
Answer:
AB = 7 9/10
Step-by-step explanation:
For collinear line segments, the whole is the sum of the parts.
AB = AD + BD
AB = 3.5 +4.4 = 7.9
AB = 7 9/10
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Multiply the divisor and dividend by 10.
Multiply the divisor and dividend by 100.
Divide the divisor and dividend by 10.
Divide the divisor and dividend by 100.
Answer:
B. Multiply the divisor and dividend by 100.
Step-by-step explanation:
Multiply by 100 to get rid of the decimal
Answer:
B. Multiply the divisor and the dividend by 100
Step-by-step explanation:
i did the question on a test
Find the length x (plz help giving BRAINLY)
Answer:
x=3
Step-by-step explanation:
2 triangles are proportional so we have
4/6=x/4,5
--> x=(4.4,5)/6=3
You can also use sin cos but this way is faster
Compare the quantity in Column A with the
quantity in Column B.
It Is My Work From My Laptop
what is the least common denominator of 3/5 and 2/15?
Answer:
15
hope this helps
have a good day :)
Step-by-step explanation:
9/15 and 2/15 just
the mutiples of 5=5, 10, 15, 20
the multiples of 15=15, 30, 45, 60
so the common denominator is 15 so multiple 5 and 3 to get the denominator is 15 and the numerator of 9
Answer:
15.
Step-by-step explanation:
LCD: THE SMALLEST MULTIPLE TWO OR MORE DENOMINATORS HAVE IN COMMON.
An easy way to find the least common denominator (LCD), is by listing the multiples of the denominators and circling the smallest multiple that both denominators have in common.
SOLVE:
[tex]5: 5, 10, 15, 20, 25, 30, 35, 40.[/tex]
[tex]15, 15, 30, 45, 60, 75, 90, 105, 120.[/tex]
The smallest multiply both numbers have in common is 15.
I, Therefore, believe the LCD for 3/5 and 2/5 is 15.
s an initial service charge of $100 plus $50 per hour of use, and $20 per hour for the driver. Darren rented a limousine for his wedding. The expression \large 100+h\left(50\right)+h\left(20\right) represents his cost for h hours.
Part A: Find a simpler way to calculate the cost. Explain.
Part B: Find the cost for 7 hours of rental time.
Answer:
A: $100 + $70h = Cost
B: $590
Step-by-step explanation:
A: you can combine the use rate and the driver rate together since they both have the save variable.
B: $100 + $70 (7) = Cost
$100 + $490 = Cost
$590 = Cost
In ΔXYZ, ∠Y is a right angle and sin X = 12/25 Find sec X, tan X, and cos Z in fraction and in decimal form. Round to the nearest hundredth, if necessary.
Answer:
In ΔXYZ
∠Y is a right angle ∠X and ∠Z are complementary anglessin X = 12/25-------------
sec X = 1/cos X = [tex]1/\sqrt{1- sin^2X} = 1/\sqrt{1 - 12^2/25^2} = 1/\sqrt{481}/25 = 25/\sqrt{481}[/tex]tan X = sin X / cos X = [tex]12/{25 : {\sqrt{481} }/25 = 12/{\sqrt{481} }[/tex]cos Z = sin X = 12/25Which number is a multiple of 9? A) 47 B) 56 C) 64 D) 72
Answer
72is the multiple of 9
Outcome 0 1 2 3 Probability 0.25 0.25 0.25 0.25 Which is the expected value of the random variable with the given probability distribution? a. 0 c. 1.5 b. 1 d. 2 Please select the best answer from the choices provided
Answer:
1.5
Step-by-step explanation:
.25*0+1*.25+2*.25+3*.25=1.5
Find an equivalent equation to -3x-5=16 by adding five to each side. *
-3x = 21
-3x = 11
-3x = 16
-3x - 10 = 21
-3x - 10 = 11
-3x - 10 = 16
-3x + 10 = 21
-3x + 10 = 11
-3x + 10 = 16
Answer:
- 3x = 21
Step-by-step explanation:
- 3x - 5 = 16
- 3x - 5 + 5 = 16 + 5
- 3x = 21
- 3x ÷ - 3 = 21 ÷ - 3
x = - 7
the sum of two numbers is 20 one number is four less than the other. find the number
Answer:
is it 4 and 12 ?
Step-by-step explanation:
please let me know if it is correct! but i am 96% sure for me answer!
In a binomial experiment, the probability of success is .06. What is the probability of two successes in seven trials? a. .0554 b. .28 c. .0036 d. .06
Answer:
a. .0554
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability of success is .06.
This means that [tex]p = 0.06[/tex]
What is the probability of two successes in seven trials?
This is P(X = 2) when n = 7. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{7,2}.(0.06)^{2}.(0.94)^{5} = 0.054[/tex]
The correct answer is given by option a.
1. The table represents values when input into a function f(x). What is the average rate of change of f(x)
from x = 2 to x=6? Show your work.
Answer:
Step-by-step explanation:
[tex]Rate \ of\ change =\frac{f(6)-f(2)}{6-2}[/tex]
[tex]=\frac{11-(-5)}{6-2} =\frac{11+5}{4}=\frac{16}{4}=4[/tex]