Answer:
The probability that they are all men is 0.00533
Step-by-step explanation:
Here, we want to find the probability that all winners selected are men
Total number of ticket sold is 35 + 21 = 56
What this mean is that out of the 56, we are selecting 5 and out of the 21, we are selecting 5 also
So we use a combination formula;
21 C 5/ 56 C 5
= 20,349/3,819,816
The probability is; 0.00532721995
The probability that they are all men is 0.00533
What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81
Answer:
16/243
Step-by-step explanation:
common ratio = -2/3
Next fraction is -8/81 * -2/3 = 16/243
Gloria uses 2/5 hours of butter to make eats 1/3 of a pound of jelly. how much jelly can she make with 1 ounce of butter
Sara is saving her summer earnings for a $500 school trip in the fall. She has $200 in her savings account at the beginning of June. Each week, Sara deposits $35 into her savings account. Sara wants to know how many weeks she needs to deposit her money? Which inequality would tell her this?
Answer:she will need around 9 weeks and she will have enuogh
Step-by-step explanation:
9
Write the following linear function in slope intercept form.
Donna is on the swim team. Each week she swims a total of 8000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.
Answer:
Donna swims 8 km each week.
Step-by-step explanation:
To be able to find the answer, you have to consider that 1 km is equal to 1000 meters and with this, you can use rule of three to find the kilometers in 8000 meters:
1 km → 1000 meters
x ← 8000 meters
x=(1*8000)/1000=8 km
According to this, the answer is that Donna swims 8 km each week.
PLEASE HELP I DON'T UNDERSTAND! A florist is making regular bouquets and mini bouquets. The florist has 118 roses and 226 peonies to use in the bouquets. Each regular bouquet has 5 roses and 11 peonies. Each mini bouquet has 3 roses and 5 peonies. Reply to this post by doing the following: 1. Write an equation that shows the total number of roses to be used in both kinds of bouquets. 2. Write an equation that shows the total number of peonies to be used in both kinds of bouquets. 3. Find how many of each bouquet can the florist make.
Answer:
The florist can make 11 regular bouquets and 21 mini bouquets
Step-by-step explanation:
The number of roses the florist has = 118 roses
The number of peonies the florist has = 226 peonies
The number of roses in each regular bouquet = 5 roses
The number of peonies in each regular bouquet = 11 peonies
The number of roses in each mini bouquet = 3 roses
The number of peonies in each mini bouquet = 5 peonies
1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;
Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;
5·r + 3·m = 118...(1)
2. Similarly, we have;
11·r + 5·m = 226...(2)
Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;
m = (118 - 5·r)/3
m = (226 - 11·r)/5
(118 - 5·r)/3 = (226 - 11·r)/5
5 × (118 - 5·r) = 3 × (226 - 11·r)
590 - 25·r = 678 - 33·r
33·r - 25·r = 678 - 590 = 88
8·r = 88
r = 88/8 = 11
r = 11
The number of regular bouquet the florist can make = r = 11
m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21
m = 21
The number of mini bouquet the florist can make = m = 21
The number of regular bouquet the florist can make = 11 bouquets
The number of mini bouquet the florist can make = 21 bouquets.
5 schools sent some students to a conference.
One of the schools sent both boys and girls.
This school sent 16 boys.
The ratio of the number of boys it sent to the number of girls it sent was 1 : 2
The other 4 schools sent only girls.
Each of the 5 schools sent the same number of students.
Work out the total number of students sent to the conference by these 5 schools.
The total number of students who went to the conference was 240 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of schools = 5 schools
Let the schools be A , B , C , D , E
One of the schools sent boys and girls
The number of boys A = 16 boys
The ratio of boys to girls is = 1 : 2
So , the number of girls = 2 x number of boys
The number of girls A = 2 x 16
= 32 girls
Now , the equation will be
The number of students sent to conference by school A = 16 + 32
The number of students sent to conference by school A = 48 students
Now , the equation will be
All the schools sent the same number of students
So , The total number of students = Total number of students in A x 5
The total number of students = 48 x 5
= 240 students
Therefore , the total number of students is 240 students
Hence , The total number of students who went to the conference was 240 students
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Last night, the two dinner specials at Sanjay's favorite restaurant were salmon filet and steak. The restaurant served 70 specials in all, 60% of which were salmon filets. How many salmon filets did the restaurant serve?
Answer:
42
Step-by-step explanation:
60% is 3/5 of the total, and the total is 70. 70/5 is 14, and 14 x 3 is 42.
hope this helped!
What is the domain of √x+7+5?
Answer:
[−7,∞)
Step-by-step explanation:
Find the measure of the numbered angle
Answer:
1. 36
2.122
3.122
4.38
Step-by-step explanation:
HELP, DUE SOON!
Answer NEEDS to be in slope intersect form!
Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favorite drink. Write an equation to represent the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.
Answer:
y=$3.75x
Step-by-step explanation:
$50 is equal to 'y'. 'x' is the number of days Mia goes to the coffee shop. For every day Mia goes to the coffee shop, she spends $3.75 on her favorite drink
The required expression for the balance gift card is y = 50 - 3.75x.
Given that,
Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favorite drink. To determine an equation to represent the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total money spent on the drink = 3.75x
Money left in the gift card after paying 3.75x from the $50 gift card is = 50 - 3.75x.
So,
y = 50 - 3.75x
Thus, the required expression for the balance gift card is y = 50 - 3.75x.
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When this polynomial is divided by (m + 1), the remainder is 0. What is the value of the polynomial's constant term?
-2m^3 + m^2 - m + (blank)
Answer:
The value of the polynomial's constant term is -4
Step-by-step explanation:
Given polynomial;
= -2m³ + m² - m + c
where;
c is the constant term
factor of the polynomial = m+1
then, f(m+1) = 0
m = -1
Substitute the value of m in the given polynomial and solve for the constant term "c";
-2m³ + m² - m + c = 0
-2(-1)³ + (-1)² - (-1) + c = 0
2 + 1 + 1 + c = 0
4 + c = 0
c = -4
Therefore, the value of the polynomial's constant term is -4
To prepare for a bake-off, Korina used 610 grams of flour each day for 4 weeks. How many kilograms did Korina use in those 4 weeks?
1 g = 0.001 kg
1:12 p.m to 8:11 p.m
Answer:
7:59
Step-by-step explanation:
4/9 - (-2/9) plzzzz help
Answer:
18 is it
Step-by-step explanation:
the first two terms of an exponential sequence are 18 and 6. what are the next 4 terms of this sequence?
Answer:
g
Step-by-step explanation:
2x-6x+9x+25=150+10x-35
Show the work
Answer:
X=-18
Step-by-step explanation:
2x-6x+9x+25=150+10x-35
combine like terms
5x+25=115+10x
move Xs to one side
25=115+5x
sebstract 115 from 25
-90=5x
divide -90 by 5
x=-18
Solve for x. -x + 4 = 32 x = -28 x = 36 x = 28 x = -36
Answer:x=-28
Step-by-step explanation:
-x+4=32
Subtract 4 from each side
-x=28
Multiply each side by (-1)
x=-28
Answer: -28
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!! ILL MARK BRAINLEST
Answer:
A D and F becuase if you times 15 by them the answer is over 20
What is the slope for (-10, 1) and (0, -4)?
A. 2
B. -2
C. 1 over 2
D. -1 over 2
Answer:
D
Step-by-step explanation:
The diameter of a circle is 8 cm. Find its area in terms of \piπ. Please help!!!
Answer:
d=16
Step-by-step explanation:
d=2r=2·8=16
fisrt second and the third terms of proportion are respectively 7 , 14 and 25 . Find its fourth term
Answer:
Check whether the two ratios form a proportion or not: (i) 6 : 8 and 12 : 16; (ii) 24 : 28 ... 3. The first, third and fourth terms of a proportion are 12, 8 and 14 respectively. ... 5. If a : b = 4 : 5 and b : c = 6 : 7; find a : c. Solution: a : b = 4 : 5. ⇒ a/b = 4/5.
Answer:
Let the fourth term be x
7/14=25/x
7x=14*25
x=350/7
x=50
Therefore the fourth term is 50
You plan to reach the top of a 30 foot tall building using a ladder if the ladder forms a 70 degree angle with the ground find how long must the ladder be to reach the top of the building
Answer:
Step-by-step explanation:
The set up is a right angles triangle where;
Height of the building = 30feet (opposite)
Angle of elevation = 70 degrees
Length of the ladder (hypotenuse) = x
Using SOH trig identity;
sin theta = opp/hyp
sin 70 = 30/x
x = 30/sin 70
x = 30/0.9397
x = 31.93feet
Hence the ladder must be 31.93 feet long to reach the top of the building
Mr.Martin states that in order for the solution to the equation 3x + q = 6 to be positive, the value of q must be less than 6. Select a value of q that is less than 6 and show that the solution to the equation 3x + q = 6 is positive. Select a value of q that is not less than 6 and show that the solution to the equation 3x + q = 6 is not positive
Answer:
Mr. Martin's statement is correct.
Step-by-step explanation:
First we select a value of q that is less than 6:
q = 3
Then we write the equation:
3x + 3 = 6And solve for x:
3x = 6 - 43x = 3x = 3/3x = 1The solution is positive because x > 0.
--
Then we select a value of q that is not less than 6:
q = 9
Then we write the equation:
3x + 9 = 6And solve for x:
3x = 6 - 93x = -3x = -3/3x = -1The solution is negative because x > 0.
plsssss help me.
Write the equation of the parabola given the following information:
Directrix: x=6
Focus (2,0)
Answer:
32-8x=y^2 or x=4-y^2/8
Step-by-step explanation:
Which statement is true of the following function?
f(x) = (x-7)^2 + 9
a. The vertex is in quadrant IV and the graph opens down.
b. The vertex is in quadrant IV and the graph opens up.
c. The vertex is in quadrant II and the graph opens up.
d. The vertex is in quadrant I and the graph opens up.
Answer:
a. The vertex is in quadrant IV and the graph opens down.
Step-by-step explanation:
pick me as the brainliest
What is -2f + 4/5f ?
- 4/5f is a fraction by the way.
The full equation is
8 - 4/5f = -14 -2f
-Please show work too :))
-I’m stuck on this problem
please hurry I need this fast
Answer:
i think
Step-by-step explanation:
4 or 1
Answer:
Step-by-step explanation:
Option 4
if the radius of a circle is 44 cm what is the diameter
Answer:
88
Step-by-step explanation:
multiply 44 times 2 which gives you 88 as the diameter.
Hope this helps!!
Josiah did a survey of his 24 classmates to find out how many have at least one pet at home. •the number of classmates that did not have pets can be represented by p
•the number of classmates that did have pets is three times the numbers that did not have pets. What is p the number of classmates that did not have pets? A.18 B.8 C.12 D.6