Answer:
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
Mark brainliest
Amelia received $4.15 in tips from one table. All of her tips were in quarters, dimes and nickels. There were five less dimes than quarters and three more nickels than twice the number of quarters. How many dimes did she have?
Step-by-step explanation:
received $4.15 in tips from one table. All of her tips were 4.1500in quarters, dimes and nickels. There
Help! I will give brainliest to the best answer.
The high jumper set a new personal record when she cleared 5 feet 8 inches. How can we find how many inches high 5 feet 8 inches is?
Answer:
60 inches = 5 feet.
Step-by-step explanation:
12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high
¿En què situaciones usamos los nùmeros enteros positivos y negativos, escribe 2 ejemplos de cada uno? Por favor para ahora hocino me jalan :(
Respuesta:
Los enteros positivos, o números enteros, se utilizan de muchas maneras durante la vida diaria. Los números de carretera se contabilizan junto con los límites de velocidad de la carretera. Los enteros se utilizan para comprender qué velocidad conducir en una carretera determinada. Los números en los relojes se utilizan para entender la hora y para configurar las alarmas del reloj. Hay números en edificios y casas para identificar direcciones y números para los niveles de piso dentro de los edificios. Los mapas utilizan enteros para proporcionar dirección e información. Los enteros negativos pueden ser menos obvios para su uso en la vida cotidiana. Algunos ejemplos de uso negativo de enteros incluyen las lecturas del termómetro, manteniendo la puntuación en un juego de hockey, altitud y bancos. Aunque todos estos ejemplos utilizan enteros positivos, también utilizan enteros negativos. Un termómetro utiliza negativo enteros para representar temperaturas por debajo de cero. En hockey, cuando el otro equipo anota en la línea del primer equipo, es un menos, pero cuando el primer equipo anota, es un plus. La altitud que está por debajo del nivel del mar está representada con números negativos. Los bancos y las cooperativas de crédito representan débitos con enteros negativos y créditos con enteros positivos.
Cape point is 7.5km east and 4.8km north of arton calculate the direct distance from Arton to cape point
Circuit Training If sin0 =1 and 0 <0< π find 0.
Answer:
[tex]\theta = \frac{\pi}{2}[/tex]
Step-by-step explanation:
Given
[tex]\sin(\theta) = 1[/tex]
[tex]0 < \theta < \pi[/tex]
Required
Find [tex]\theta[/tex]
[tex]0 < \theta < \pi[/tex] implies that [tex]\theta[/tex] is between 0 and 180 degrees
[tex]\sin(\theta) = 1[/tex]
Take arcsin of both sides
[tex]\theta = sin^{-1}(1)[/tex]
This gives:
[tex]\theta = \frac{\pi}{2}[/tex]
Convert to degrees
[tex]\theta = \frac{\pi}{2} * \frac{180}{\pi}[/tex]
[tex]\theta = 90[/tex]
We have:
[tex]0 < \theta < \pi[/tex] or [tex]0 < \theta < 180[/tex]
To get other values of [tex]\theta[/tex]
We use:
[tex]\sin(\theta) = \sin(180 - \theta)[/tex]
Substitute: [tex]\theta = 90[/tex]
[tex]\sin(90) = \sin(180 - 90)[/tex]
[tex]\sin(90) = \sin(90)[/tex]
This means that there are no other values of [tex]\theta[/tex] in the given range
Part B
How many cups of flour does Henry need?
20 1 4 cups
22 1/2 cups
24 3/4 cups
25 1/2 cups
Answer:
22 1/2
Step-by-step explanation:
2 1/4 x 10 = c
2 1/4 x 10 = 22.5
22.5 = 22 1/2
At a cake sale, David bought 3 cakes and paid $10.50. At the same price, Lisa bought 4 cakes and 8 cookies and paid $14.80. What was the price of a cake and the price of a cookie
Price of a Cake
10.5/3= 3.5
1 Cake = $3 and 5 cents, 3.5
Price of a cookie
3.5*4=14
14 out of 14.80 was the cost of 4 cakes
Which leaves us with 0.8
8/0.8= 0.1
The Price of 1 cookie is 0.1
1 Cake: 3.5
1 Cookie: 0.1
The side length of a square is √27
inches. What is the area of the square?
...............
Answer:
27
Step-by-step explanation:
To find the are of a square, raise the side length to the power of two (or square it). [tex]\sqrt{27} *\sqrt{27}[/tex] is simply equal to 27.
I hope this helped!
The area of the square is 27 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
We have side of square is √27 inches.
So, the Area of Square
= side x side
= √27 x √27
= 27 inches²
Thus, the Required Area is 27 inch².
Learn more about Area here:
https://brainly.com/question/27683633
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Find the perimeter of the shaded region. Keep answer in exact form. rectangle with two semi circles within it. Semi circle have a diameter of 6 and regtangle has a lenght of 13
Answer:
31.16
Step-by-step explanation:
Perimeter of the shaded portion = Perimeter of the rectangle - Perimeter of the 2 circles
Length of rectangle = 13
Width = 2d
d is the diameter of the circle = 2(6) = 12
Perimeter of the rectangle = 2(L+W)
Perimeter of the rectangle = 2(13+12)
Perimeter of the rectangle = 2(25)
Perimeter of the rectangle = 50
Perimeter of the semi-circle = πd/2
Perimeter of the circle = 3.14(6)/2
Perimeter of the circle = 18.84/2
Perimeter of the 2 circles = 2(18.84)/2
Perimeter of the 2 circles = 18.84
Perimeter of the shaded portion = 50 - 18.84
Perimeter of the shaded portion = 31.16
What is the quadratic regression equation that fits these data?
Number of seconds Height (in feet)
0,11 1,13 2,13 3,15 4,9 5,1
Answer:
Step-by-step explanation:
do you know the answer?
how can i solve that equation by factoring
Answer:
y = ( x + 3 )( x + 5 )
Step-by-step explanation:
N/A
Answer:
[tex]y = {x}^{2} + 8x + 15 \\ factors \: = 3 \: and \: 5 \\ y = {x}^{2} + 3x + 5x + 15 \\ y = x(x + 3) + 5(x + 3) \\ y = (x + 5)(x + 3) \\ either \: (x + 5) = 0 \: or \: (x + 3) = 0 \\ x = - 5 \: and \: - 3[/tex]
E
53°
77°
C
D
mZC=
.
Answer:
m∠C = 50°
Step-by-step explanation:
what is the vaule form this plz give me the answer
Answer:
what's the question ????
32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.
Answer: = 16
Step-by-step explanation: Hope this help :D
Find the surface area of the following shape
Answer:
148cm will be the answer
Step-by-step explanation:
It's a cuboid
L=6cmB=4cmH=5cm[tex] \boxed{ \sf \: tsa = 2(lb + bh + lh)} \\ \rm \mapsto \: 2(6 \times 4 + 4 \times 5 + 6 \times 5) \\ \rm \mapsto \: 2(24 + 20 + 30) \\ \rm \mapsto \: 2(74) \\ \rm \mapsto \: 148[/tex]
What is the equation of the graph below?
i am offering 30 points and brainliest!!! and i will follow you
Answer:
t×u×v×w=76 in number calculator
Answer:
76
Step-by-step explanation:
Just follow this simple formula: area = 1/2 x perimeter x apothem.
PLEASE HELP <3
Mrs. Neville determined the following annual expenses for energy from her last year's bills: electricity = $4,135; gas = $890; water and sewer = $698. If she budgets 25% more for next year, what is her monthly budget for energy?
$521.87
$547.22
$596.15
$601.44
None of these choices are correct.
Answer:
n=21000.
Step-by-step explanation:
$3.60
Find the equation of the line through the points
(
−
9
,
−
14
)
and
(
18
,
1
)
.
Answer:
y=-13/9x+27
Step-by-step explanation:
Mark’s Pizzeria charges $20.00 for a sheet pizza. Toppings are an additional $1.50 each.
Answer:
ur question is incomplete
Step-by-step explanation:
Olivia’s makes $825 per week at her job at Target. She is paid an additional $15.00 for every hour of overtime she works. Olivia’s goal was to make at least $900 on her paycheck. How much overtime would she have to work to accomplish her goal?
Write, solve and graph the inequality.
Answer:
Step-by-step explanation:
900-825=75
75/15=5
5 hours extra
What is the value of k in this table?
A.
288
B.
306
C.
324
D.
576
Find the area of the figure to the nearest hundredth.
Step by step please!
Answer:
[tex] \approx 31.63 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the figure = 2 times the area of one semicircle with radius (5/2 = 2.5) 2.5 ft + Area of triangle with base 6 ft and height 4 ft.
[tex] = 2 \times \frac{1}{2} \pi {r}^{2} + \frac{1}{2} bh \\ \\ = 3.14 \times {(2.5)}^{2} + \frac{1}{2} \times 6 \times 4 \\ \\ = 3.14 \times 6.25 + 3 \times 4 \\ \\ = 19.625 + 12 \\ \\ = 31.625 \\ \\ \approx 31.63 \: {ft}^{2} [/tex]
Which property is being used here?
-7 + 7 = 0
what is 5/11 as a decimal
what percent of 20 is 3
Answer:
15
Step-by-step explanation:
Answer:
Esto es igual a igual a 0,6% m
Step-by-step explanation:
3÷100•20
what is the median? 3,4,3,5,6,4,1,10,8
Answer:
4.5
Step-by-step explanation:
Just put the sequence of numbers in order.
1 3 3 4 5 6 8 10
4 5 are in the middle so we take the average of them.
4.5
Answer:4.5
Step-by-step explanation: have a good day I hear you go
What is the area of the triangle??
Answer:
Answer is 12
Step-by-step explanation:
height is (4 square untis) and base is (6 square units).
Multiply 6 x 4 = 24 then you have to divide by 2 and it gives you 12.
Hope this helps !
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Answer: I believe the answer is D
Step-by-step explanation:
Answer:
B. Number of days she trains
Help meeee I will mark brainliest