Step-by-step explanation:
C. A =3 , B = 5
6y + 15 = 3 ( 2y + 5 )
A = 3
B = 5
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.
CINDY IS A HOSTESS AT A COUNTRY CLUB
ON THE WEEKENDS. SHE WORKED 3 Ž HOURS
ON FRIDAY NIGHT AND 5 HOURS ON
SATURDAY. IF SHE EARNED A TOTAL OF
$105 THIS WEEKEND AND IS PAID THE SAME
AMOUNT EACH HOUR SHE WORKS, HOW MUCH
DOES SHE EARN PER HOUR?
Answer and Step-by-step explanation:
Add together the hours, then divide the amount earned by the total amount of hours.
3 + 5 = 8
105 ÷ 8 = $13.125 (which would round up to 13.13) [About $13.13] is earned per hour.
#teamtrees #PAW (Plant And Water)
.
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
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.
Which expression is the radical form of x^3/4
Order the following numbers from least to greatest And tysm for the people who help me!!
Answer:
12.8 13.56 23.9 54.67 93.9
Step-by-step explanation:
order least to greatest by looking at the whole number than decimal
Tammy drove 871 miles in 13 hours.
At the same rate, how long would it take her to drive 335 miles?
this is a test pls help
Answer:
Tammy takes 5 hours to drive 335 miles.
Step-by-step explanation:
Given that :-
Tammy drove 871 miles in 13 hours.To find :-
How long would it take her to drive 335 miles ?
Solution :-
Let us assume that it take her to drive 335 miles in x hours.
To find x, we need to find it in ratios.
871 miles = 13 hours
335 miles = x hours
Using cross multiplication method
871 × x = 335 × 13
multiply to get
871 x = 4, 355
divide each side by 871
871 x / 871 = 4,355 / 871
x = 5
hence, Tammy takes 5 hours to drive 335 miles.
Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50. A few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store. What is the least possible number of times that Mariam has been to the store? Just write the number.
Answer:
Mariam went to the store 5 times, while Sana went 3 times.
Step-by-step explanation:
Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:
To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.
Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.
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.
Write 95% as a fraction in simplest form
Answer:
19/20
Step-by-step explanation:
95%/100=0.95
=95/100
simplified
19/20
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{95\% as a fraction}[/tex]
[tex]\large\text{We know percentages runs out of 100, so we first divide 95} \\\large\text{from 100 and answer that one to actually solve for your answer}[/tex]
[tex]\mathsf{\dfrac{95}{100}}[/tex]
[tex]\boxed{\mathsf{= \bf 0.95}}\large\checkmark[/tex]
[tex]\mathsf{\dfrac{0.95}{1}\times\dfrac{100}{100}}[/tex]
[tex]\large\text{CROSS MULTIPLY}[/tex]
[tex]\mathsf{\dfrac{0.95\times100\leftarrow \bold{numerator}}{1\times100\leftarrow \bold{denominator}}}}[/tex]
[tex]\mathsf{0.95\times100 = \boxed{\bf 95}}\large\checkmark[/tex]
[tex]\mathsf{1\times100=\boxed{\bf 100}}\large\checkmark[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{95}{100}}[/tex]
[tex]\large\text{FINALLY we simplify the fraction}[/tex]
[tex]\large\text{Each of your numbers are factors of 5, so we divide both numbers by 5}[/tex]
[tex]\mathsf{\dfrac{95\div5}{100\div5}}[/tex]
[tex]\mathsf{95\div 5 = \boxed{\bf 19}\large\checkmark\leftarrow \underline{numerator}}[/tex]
[tex]\mathsf{100\div5 = \boxed{\bf 20}\large\checkmark\leftarrow \underline{denominator}}[/tex]
[tex]\boxed{= \mathsf{\bf\dfrac{19}{20}}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: }\mathsf{\bf \dfrac{19}{20}}}} \huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
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
I need help with this
Answer:
42
Step-by-step explanation:
The quadrilateral is a parallelogram
The area of a parallelogram can simply be calculated by multiplying the base length by the height
The parallelogram has a height of 3m and a base length of 4 + 10 = 14m
Hence area = 14 * 3 = 42
solve for the missing sides 30-60-90 triangle show work please and thank you
Answer:
4.
[tex]x=8\sqrt{3}[/tex]
[tex]y=16[/tex]
5.
[tex]x=3[/tex]
[tex]y=3\sqrt{3}[/tex]
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
[tex]a-a\sqrt{3}-2a[/tex]
Where (a) is the side opposite the (30) degree angle, ([tex]a\sqrt{3}[/tex]) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ([tex]\sqrt{3}[/tex]). Thus the following statement can be made,
[tex]x=8\sqrt{3}[/tex]
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
[tex]y=16[/tex]
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
[tex]y=3\sqrt{3}[/tex]
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
[tex]x=3[/tex]
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.
The sum of a number and its square is 20
Answer:
-5
4
Step-by-step explanation:
x + x² = 20
x² + x - 20 = 0
Factor
(x + 5)(x - 4) = 0
x = {-5, 4}
-5 + 25 = 20
4 + 16 = 20
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 measure of the missing angle
Answer: a=
Answer:
31(given degree) + a(unknown degree) = 90 degrees(right angle shown is equal to 90 degrees)
31 + a = 90
-31 -31
A = 59 degrees.
a round cake pan has a diameter of 6 inches which is closest to the area of the bottom of the Pan
A. 20 square inches B. 30 square inches
C. 40 square inches. D. 100 square inches
Answer:
The correct answer is B.
Step-by-step explanation:
The area of the closest answer is 30 since the actual area is 28 square inches.
7. Which graph represents the solution set for -4(1 – x) S-12 + 2x?
-34
-32
-30
-28
- 26
B.
-42
-40
-38
-36
-34
C.
-34
-32
-30
-28
-26
D.
-8
-6
-4
-2
o
Answer:
d
Step-by-step explanation:
because all values Gon be negative
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 = 12/25
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]
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
78, 68, 75, 65, find the next term
Answer:
73,63
Step-by-step explanation:
it just goes down by 2 everytime
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
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!
What is 0.81 recurring as a fraction in simplest form ?
Answer:
81/100
Step-by-step explanation:
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 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.
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
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