Step-by-step explanation:
The selection of r objects out of n is done in
many ways.
The total number of selections 10 that we can make from 6+7=13 students is
thus, the sample space of the experiment is 286
A.
"The probability that a randomly chosen team includes all 6 girls in the class."
total number of group of 10 which include all girls is C(7, 4), because the girls are fixed, and the remaining 4 is to be completed from the 7 boys, which can be done in C(7, 4) many ways.
P(all 6 girls chosen)=35/286=0.12
B.
"The probability that a randomly chosen team has 3 girls and 7 boys."
with the same logic as in A, the number of groups were all 7 boys are in, is
so the probability is 20/286=0.07
C.
"The probability that a randomly chosen team has either 4 or 6 boys."
case 1: the team has 4 boys and 6 girls
this was already calculated in part A, it is 0.12.
case 2, the team has 6 boys and 4 girls.
there C(7, 6)*C(6, 4) ,many ways of doing this, because any selection of the boys which can be done in C(7, 6) ways, can be combined with any selection of the girls.
the probability is 105/286=0.367
since case 1 and case 2 are disjoint, that is either one or the other happen, then we add the probabilities:
0.12+0.367=0.487 (approximately = 0.49)
D.
"The probability that a randomly chosen team has 5 girls and 5 boys."
selecting 5 boys and 5 girls can be done in
many ways,
so the probability is 126/286=0.44
Did this help??
Answer:
It was right!
Step-by-step explanation:
id.6577294778 psrd:kaus
can someone help my lil sister.
Answer:
78
Step-by-step explanation:
Given:
h + 9g
Required:
Evaluate when g = 8 and h = 6
Solution:
Plug in the values of the variables into the expression
Thus,
6 + 9(8)
= 6 + 72
= 78
How would i show my work on an online exam?
Answer:
1.47 years
Step-by-step explanation:
Given that,
The height of male elephant is given by the formula,
[tex]h=62.5\sqrt[3]{t} +75.8[/tex]
If h = 275 cm, we need to find the age of the elephant.
Put h = 275 cm in the above formula,
[tex]275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years[/tex]
So, the required time be 1.47 years.
Of flowers in a field 43% are yellow . The others are white. A bee randombly lands on a flowerdescribe the complelment of the bee landing on a yellow flower. Determine its probability
Answer:
0.43
Step-by-step explanation:
Yellow flowers are 43%.
White flowers are = (100% - 43% ) = 57%
Consider there are total 100 flowers in the garden , so yellow ones are 43 and white ones are 57
Probability of a bee landing on a yellow flower is 43 out of 100
= 43/ 100
=0.43
11 Resuelve los problemas desarrollados .
- Una persona depositó una cierta cantidad de
dinero en un banco que paga el 6.2% de inte
rés simple anual. Si al cabo de 10 años los
intereses ganados alcanzan los RD$ 19 840,
¿de cuánto fue el depósito realizado?
• ¿A qué porcentaje de interés fueron deposi-
tados RD$ 48 000.00 para que transcurridos
15 meses los intereses devengados sean de
RD$ 3 450.00?
¿En qué tiempo un capital de RD$ 72 475.00
depositado a una tasa de interés simple anual
de un 4% produce intereses de RD$ 36 237.50?
Step-by-step explanation:
Este ejercicio se puede hacer de dos formas, o bien pasas los días a años o calculas el interés simple diario.
Para pasar 89 días a años simplemente tenemos que dividir 89 entre 365 días, lo que nos da 0,243835616 años. Una vez tengamos todos los datos expresados en el mismo tiempo, podemos calcular el interés.
Interés simple ejercicio resuelto
Para pasar el interés simple de anual a diario hacemos lo mismo dividimos 4% entre 365 días. Dándonos el mismo resultado.
Ejercicio resuelto interés simple interés generado
Why does everyone keep commenting links on my posts? Please stop, if you don’t know the answer then don’t comment :(
Answer:
Never go to these links! If you see someone answer a link report them!
Answer:
U can just report those comments .
Step-by-step explanation:
& then they will get deleted.
A room has a measurement of 7.5 m x 9.6 m. If Encik Zaki wishes to lay square tiles
on the floor of the room, what is the biggest size, in cm, of the tiles so that the tiles
will fully cover the entire floor?
Answer:
72
Step-by-step explanation:
y=x2+3x-2 -17/4
what is the range and domain
Answer:
Hope this helps :)
Step-by-step explanation:
Pretty please HELP MEEEE A circular flower bed is 19 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
SA is the area of flowerbed
radius is 9.5 m (diameter, 19, divided by 2)π(r)²3.14(9.5)²3.14(90.25)SA = 283.385 m²LA is the large area of both flowerbed and sidewalk together
Adding 9.5 and 3 together, the total radius is 12.5 mπ(r)²3.14(12.5)²3.14(156.25)LA = 490.625 m²Subtract SA from LA in order to find teh area of sidewalk.
A = 283.385 - 490.625 = 207.24 m²
ANSWER: 207.24 m² is the area of the sidewalk8. Which pair of lines must be parallel?
108°
84
106
72°
t
A. p and r
B. q and s
C. p and s
D. q and r
P 9
r
S
Answer:
A) p||r
Step-by-step explanation:
Answer:
q || r
Step-by-step explanation:
plss help i’ll give brainliest thank you!
Answer:
its 45 as3*15 is 45 and 45*1 is 45
plz mark me branliest
Plz help!!!!
Patrick randomly selects a marble from a bag, records the color, and then returns the marble to the bag. After 40 trials, he has recorded 14 red marbles, 12 blue marbles, 10 yellow marbles, and 4 green
marbles.
Which of the following experimental probabilities is correct based on his record?
A.P (not red)=13/20
B.P (not blue) =3/10
C.P (not yellow)=1/4
D.P (not green) = 3/4
Answer:
try A im not sure tho
Step-by-step explanation:
lol sorry if its wrong
please help me to solve this question please
Answer:
volume of wooden blocks= 2³=8 cm³
volume of cubic box= 8³=512 cm³
512/8= 64
64 blocks could fit in a cubic box
No: of wooden blocks she wants to fit= 70
she'd not be able to fit all the wooden blocks into the box
Step-by-step explanation:
Answer:
No, cannotStep-by-step explanation:
Side of the small block is 2 cm
The volume of a small block is:
V = 2³ = 8 cm³The cubic box with side 8 has volume:
V = 8³ = 512 cm³The blocks can fit inside:
512/8 = 64Since 64 < 70, Indra cannot fit all the blocks
Solve each proportion using the Cross Products Property.
Will give brainliest
Step-by-step explanation:
[tex]1.x = 8 \\ 2.x = 11 \\ 3. x = 2 \\ 4.d = 3 \\ 5.y = 33[/tex]
If p(t)=5t4+17t3–8t2+13t–12, use synthetic division to find p( – 4).
Answer:
the value of this function p(t) at t = -4 is also 0
Step-by-step explanation:
Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not. If not, then the remainder is the value of the given polynomial when evaluated at a given argument. We are to determine the remainder here when t = -4:
Setting up synthetic division:
-4 / 5 17 -8 13 -12
-20 12 -16 12
------------------------------------
5 -3 4 -3 0
Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.
BRAINLIEST TO CORRECT ANSWER!!!!
Answer:
$5,720.40
Step-by-step explanation:
6 more than a number
Answer:
como explica ebn yte ay uod y
Step-by-step explanation:
Ms Matthews has 200 sheets of construction paper she will give each of her 27 students an equal number of whole sheets to use for a project how many sheets will each students an equal number of whole sheets will each students get ? how sheets many will be left over?
Answer:
Each student will get 7 sheets with 11 sheets left over.
Step-by-step explanation:
divide 200 and 27 to get 7
7 sheets for each student
then multiply 27 and 7 to see how many sheets of paper she gave to her students.
that will give you 189
then 200-189=11 sheets left over
Find the ratio of Cos (39).
A. 37/7
B.X/7
C.7/X
D.7
Answer:
x/7
Step-by-step explanation:
cos 39= adjacent/hypotenuse
=x/7
the cost of renting a van is $30. An additional $0.89 is charged for each mile, m, the van is driven, Which expression can be used to determine the total cost, in dollars, of renting a van?
Answer:
30 + 0.89m
Step-by-step explanation:
I think this is the correct answer.
This year, Ravi watched 35 movies. He thought that 28 of them were very good. Of the movies he watched, what percentage did he think were very good?
Answer:
80%
Step-by-step explanation:
ASAP need help please !!!!!!!!!!
Answer:
(16x) (4xy)
Step-by-step explanation:
Last week, the price of bananas at a grocery store was $0.80 per pound. This week, bananas at the same grocery store are on sale at 25% discount. What is the total price of 5.5 pounds of bananas this week at the grocery store?
Answer:
3.30
Step-by-step explanation:
You multiply the 5.5 pounds by the 80 cents then multiply the awnser of that by .25 and subtract that from the awnser of 5.5*.80
The volume of this pyramid is 36.67 m3. If the area of its base is 10.0 m2, how high is the pyramid? Round to the nearest whole meter. a) 4 m b) 11 m c) 5m d) 12 m
Answer:
b
Step-by-step explanation:
A pyramid is a three-dimensional object. The base of a pyramid is a polygon. the top and the base of a polygon forms a triangle
The volume of a pyramid = 1/3 × (area of base x height)
volume = 36.67 m3
area = 10.0 m2,
height = ?
36.67 = 1/3 x (10 x h)
multiply both sides of the equation by 3
110.01 = 10h
divide both sides by 10
h = 11.0001 m
Plssss help and thank you
Answer:
1
Step-by-step explanation:
The y-intercept is when x=0, and by looking at this chart, we can see that when x=0, y=1, therefore it will be (0,1) and your y-intercept is 1.
Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the brainliest
Answer:
a) ∠EAB = 180° - 90° - 30° = 60°
∠EBA = 180° - 90° - 60° = 30°
a) ∠EBA = 30°
b) ∠DCA = 180° - 90° - 30° = 60°
∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA
ΔEBA ≅ ΔDAC because of the AAA postulate
c) EB ≅ DA, EA ≅ DC, AB ≅ CA
d) AB = CA given
sin ∠EAB = EB/AB (sin 60°) EB = (0.8660)AB
cos ∠EAB = EA/AB (cos 60°) EA = (0.5)AB
cos ∠DAC = AD/CA (cos 30°) AD = (0.8660)CA
sin ∠DAC = CD/CA (sin 30°) CD = (0.5)CA
ED = EA + AD
ED = (0.5)AB + (0.8660)CA
since AB = CA, ED = 1.366CA
since EB = (0.8660)AB and AB = CA, then EB = 0.866CA
since CD = 0.5CA,
EB + CD = 0.866CA + 0.5CA = 1.366CA
EB + CD = 1.366CA
1.366CA = 1.366CA
Proof: ED = EB + CD
A bag contains balls which are numbers from '1' to '60'. A ball is
drawn at from the bag, the probability that it bears a two digit
number multiples of 7 ?
Answer:
56
Step-by-step explanation:
Which of the statements below are true? Select all that apply.
A) The table shows a proportional relationship
B) The table does not show a proportional relationship
C) Buying 6 comics saves $2.00
D) Buying 2 comics costs $8.00
Please help I don’t understand this:((
How many one-inch cubes will fit in the box?
Answer:
D. 132,651 cubes
Step-by-step explanation:
You're looking for how many cubes fit in the box. Remember cubic means 3 dimensions and squared means 2 dimensions.
Use length x width x height and converting the 4.25 feet to inches...
4.25×12=51
51×51×51=132,651
Meaning 132,651 one inch cubes would fit.
Answer:
132,651 cubes
Step-by-step explanation:
4.25 ft = 51 inches
51 x 51 x51 = 132,651 inches
1 x 1 x 1 = 1 inch cubes
so
132,651 divided by 1 = 132,651.
What is the solution of (x+8)/(5x+-1)>0?
Answer:
the solution set is (-infinity, -8) ∪ (-8, 1/5)
Step-by-step explanation:
x + 8 changes sign at x = -8.
I'll assume you meant 5x - 1 (as 5x+- is meaningless). 5x - 1 changes sign at x = 1/5.
Subdivide the x-axis using the two x-values found above:
(negative infinity, -8), (-8, 1/5), (1/5, infinity.
Choose a representative value from each interval. I'm choosing x = -10, x = 0 and x = 1.
Now test the given inequality at each of these x-values. Is the result true or false?
x + 8
---------- > 0
5x - 1
For x = -10:
-10 + 8
--------------- > 0 => -2/(-51) => 2/51 This is TRUE
5(-10) - 1
For x = 1:
1 + 8
---------- > 0 => 9/4 This is TRUE
5 - 1
For x = 0:
8
---------- > 0 This is FALSE
- 1
Therefore the solution set is (-infinity, -8) ∪ (-8, 1/5)