Answer:
There are many ways to solve this problem, here let's follow the hints
Probability of having exact 6 boys in 8 children:
8C6 x P(boys)^6 x P(girls)^2 = 8C6 x (1/2)^6 x (1/2)^2 =8C6 x (1/2)^8
Probability of having exact 7 boys in 8 children:
8C7 x P(boys)^7 x P(girls)^1 = 8C7 x (1/2)^7 x (1/2)^1 =8C6 x (1/2)^8
Probability of having exact 8 boys in 8 children:
8C8 x P(boys)^8 = 8C8 x (1/2)^8
Add these three, we have the solution
P = (8C6 + 8C7 + 8C8) x (1/2)^8 = (28 + 8 + 1) x (1/2)^8 = 0.1445
=> Option D is correct.
Note: 8C6, 8C7, 8C8 are combination notation.
Hope this helps!
:)
Answer:
the answer is d
Step-by-step explanation:
If a = 150 inches, b = 50 inches, and C = 120º find c.
Round to the nearest tenth of an inch.
Answer:180.3
Step-by-step explanation:
a=150
b=50
C=120
c^2=a^2+b^2-2 x a x b x cosC
c^2=150^2+50^2-2x150x50xcos120
c^2=150x150+50x50-2x150x50xcos120
c^2=22500+2500-15000cos120
c^2=25000-15000x-0.5
c^2=25000+7500
c^2=32500
c=√(32500)
c=180.3
Answer:
180.3 inches
Step-by-step explanation:
Using cosine law:
c² = 150² + 50² - 1(150)(50)cos(120)
c² = 32500
c = 50sqrt(13)
c = 180.3 (nearest tenth)
6 to the power of 3 +7 times 4
Answer:
892
Step-by-step explanation:
Look at recent question
Answer:
ok was it college math if so the I don't know
Which shows the decimal 0.16 expressed as a fraction in the simplest form?
Answer:
.16 = 16/100= 8/50= 4/25
Step-by-step explanation:
Answer:
decimal: 0.16
fraction: 4/25
percentage: 16%
Step-by-step explanation:
Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
Answer:
The first one is False.
Step-by-step explanation:
If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.
Write the following trigonometric ratio using an acute angle: tan 162 degrees
Answer:
-tan(18°) or tan(-18°)
Step-by-step explanation:
The angle given is in the 3rd quadrant, so the tangent is negative. The reference angle is ...
180° -162° = 18°
Tangent is an odd function, so ...
tan(-x) = -tan(x)
This means we can write the required ratio two ways:
tan(-18°)-tan(18°)Assume the competing hypotheses take the following form: H0: µ1 – µ2 = 0, HA: µ1 – µ2 ≠ 0, where µ1 is the population mean for population 1 and µ2 is the population mean for population 2. Also assume that the populations are normally distributed and that the observations in the two samples are independent. The population variances are not known but are assumed equal. Which of the following expressions is appropriate test statistic?
a. taf
b. 2
c. 1-2 21 n
d. täf 2 t1
Answer:
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
Step-by-step explanation:
H0: µ1 – µ2 = 0
HA: µ1 – µ2 ≠ 0
We have given,
The population variances are not known and cannot be assumed equal.
The test statistic for the test is
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
Where,
[tex]\bar x_1[/tex] = sample meaan of population 1
[tex]\bar x_2[/tex] = sample mean of population 2
[tex]n_1[/tex] = sample size of population 1
[tex]n_2[/tex] = sample size of population 2
Therefore, this is the test
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
what is the sum of 21 and 5 times a number f is 61
Answer:
Answer is below
Step-by-step explanation:
21 + 5f = 61 Turn the words into an equation
-21 - 21 Subtract 21 from both sides
5f = 40 Divide both sides by 5
f = 8
If this answer is correct, please make me Brainliest!
Answer:
[tex]f = 8[/tex]
Step-by-step explanation:
[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]
Hope this helpsBrainliest Appreciated.Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey
Solve for x - y = -3
Answer:
0-3=-3
Step-by-step explanation:
The mean life of a tire is 30,000 km. The standard deviation is 2000 km. 95% of all tires will have a life between___ km and ___km.
Answer:Need more infromation
Answer:
Between 26,000 and 34,000 km.
Step-by-step explanation:
95% of a data set will be within 2 standard deviations of the mean.
Therefore, the range will be from "μ - 2σ" to "μ + 2σ".
g(x) = - 3x - 8
g (____) =10
ESSON 3 REFINE
The rectangular prism shown below has a volume of 42 cubic
meters. What is the length of the prism? Show your work
What dim
labeled
prisma
3 m
2 m
Answer:
The length of the prism = 3m
See below for explanation
Step-by-step explanation:
The question is incomplete without the diagram stated in the question.
Since the diagram is missing, I'll show you how you can determine the length of a prism.
Volume of prism = length × width × height = l×w×h
Find attached below the diagram used in solving the question.
From the diagram,
height = 7m
Width = 2m
Given that the volume of prism = 42 cubic meters = 42m³
Length of prism = ?
Inserting the values of the variables:
42 = l×2×7
42 = 14×l
l = 42/14
l = 3
The length of the prism = 3m
In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points)
Answer:
Totally 6 people hate potatoesStep-by-step explanation:
Incase the figure is not clear
here, it is
⇒ 30 = 15 + 20 + 9 - 12 - 6 - 5 + 3 + h
⇒ h = 30 - 44 - 3 + 23
⇒ h = 53 - 47
h = 6
Hence, Totally 6 people hate potatoes
Answer: 6 students hate potatoes.
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
Set M represents the set of students that like mashed potatoes.
Set F represents the set of students that like French fried potatoes.
Set T represents the set of students that like Twice-baked potatoes.
H represents the number of students that hate potatoes.
3 liked all three styles
The number of students that like mashed and twice baked potatoes only is 6 - 3 = 3
The number of students that like mashed and French fried potatoes only is 12 - 3 = 9
The number of students that like twice baked and French fried potatoes only is 5 - 3 = 2
The number of students that like mashed potatoes only is 15 - (9 + 3 + 3) = 0
The number of students that like French fried potatoes only is 20 - (9 + 3 + 2) = 6
The number of students that like twice baked potatoes only is 9 - (3 + 3 + 2) = 1
Since the total number of students is 30, it means that
0 + 6 + 1 + 3 + 9 + 2 + 3 + H = 30
24 + H = 30
H = 30 - 24
H = 6
Marco bought gifts for his family at the school gift shop for the holidays. Marco bought 10gifts and spent $11.50. How many of each item did he buy if friendship bracelets cost $1.50 and stickers cost $1?
Step-by-step explanation:
Marco bought 10 gifts = 11. 50
If 5 bracelets = 1.50 x 5 = 7.5
4 stickers = 4 x 1 = 4
So total cost = 7.5 + 4 = 11.5
Complete the five-number summary for the data set: 5, 2, 1, 3, 3, 6, 4, 2, 7.
you type in the answer
Answer:
NOOO OYU TYPE INTHE ANSWER
Step-by-step explanation:
if I bought 6 apples and 1 pair for $2.00 HOW MUCH WAS EACH ITEMS COST?
Answer:
$6.00
Step-by-step explanation:
6 apples = 3 pairs
1 pair=$2.00
3 pair=
$6.00
Find the area of the triangle
Answer:
84mm
Step-by-step explanation:
Formula of a triangle:
A =bh/2
A=14(12)/2
A=168/2
A=84mm
an automobile traveled 21 miles north from the airport. it then turned directly west and traveled 28 miles. how far is the automobile from the airport??
The automobile is 35 miles away from the airport
1. Si pide prestado $ 600 por siete años a una tasa de interés del 7%, ¿cuánto interés pagará?
Answer:
Su pago mensual sería de $9.06 (Espero que esto ayude)
Step-by-step explanation:
The sum of five consecutive integers is 70. What are the numbers?
Answer: The numbers are 12, 13, 14, 15, and 16.
Step-by-step explanation:
Write an algebraic equation.
x + (x+1) + (x+2) + (x+3) + (x+4) = 70
5x + 10 = 70
subtract 10 from both sides
5x = 60
divide each side by 5
x = 12
The numbers are 12, 13, 14, 15, and 16.
Answer:
12 to 16 :) hope it helped
Factorise 2y^2 + y + 6xy + 9x - 3
Answer: (2y+3)(3x+y-1)
Step-by-step explanation:
First regroup the terms.
6xy+9x+2y^2+y-3
Second factor 3x out of 6xy+9x
3x(2y)+9x+2y^2+y-3
3x(2y)+3x(3)+2y^2+y-3
And you get
3x(2y+3)+2y^2+y-3
Third factor by grouping
solve for the coefficient -5=a(0-2)(0-3)(0-5)
Answer:
a = 1/6
Step-by-step explanation:
-5=a(0-2)(0-3)(0-5)
Simplify
-5=a(-2)(-3)(-5)
-5 = a(-30)
Divide each side by -30
-5/-30 = -30a/-30
1/6 =a
Answer:
1/6
Step-by-step explanation:
Can someone help ??
Answer:
A. is 10/12 B. is 8/28 C. is 20/45
Step-by-step explanation:
I think
The quadratic equation x^2 - 8x = -4 is rewritten in the form (x + p)^2 = q. when q is a constant. What is the value of p ?
Answer:
-4
Step-by-step explanation:
If you multiply out the square, you can see ...
(x +p)^2 = q
x^2 +2px +p^2 = q
The coefficient of the x-term is 2p, so ...
2p = -8
p = -8/2 = -4
What does the graph of Ax)=-(x-3)* +11 look like?
A. opens downward with a vertex of (3, 11)
B. opens downward with a vertex of (-3, 11)
C. opens upward with a vertex of (3, 11)
D. opens upward with a vertex of (-3, 11)
Answer:
A. opens downward; vertex (3, 11)
Step-by-step explanation:
The leading coefficient is negative (-1), so we know the parabola opens downward.
The vertex in the form ...
A(x) = a(x -h)² +k
is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).
The vertex is (3, 11).
In the phrase “rise over sun” shat does “rise” indicate?
Problem 5. A skating rink in the shape shown has an area of
2,800 ft”. Find a formula for the perimeter of the rink as a
function of the radius r.
Answer:
[tex]P=\dfrac{\pi r^2+2800}{r} $ ft[/tex]
Step-by-step explanation:
Let the length of the rectangular part =l
The width will be equal to the diameter of the semicircles.
Area of the Skating Rink= [tex]2(\frac{\pi r^2}{2})+(lX2r)[/tex]
Therefore:
[tex]\pi r^2+2lr=2800\\2lr=2800-\pi r^2\\$Divide both sides by 2r\\l=\dfrac{2800-\pi r^2}{2r}[/tex]
Perimeter of the Shape =Perimeter of two Semicircles + 2l
[tex]=2\pi r+2\left(\dfrac{2800-\pi r^2}{2r}\right)\\=2\pi r+\dfrac{2800-\pi r^2}{r}\\=\dfrac{2\pi r^2+2800-\pi r^2}{r}\\=\dfrac{\pi r^2+2800}{r}[/tex]
The perimeter of the rink is given as:
[tex]P=\dfrac{\pi r^2+2800}{r} $ ft[/tex]
If f(x) = 6x - 5 and (x) = -x + 1 , what is the value of f(g(-3)).
Answer:
19
Step-by-step explanation:
f(x) = 6x - 5
g (x) = -x + 1
f(g(-3))
g(-3) = - (-3) +1 = 3+1 = 4
f(g(-3) = f(4))
f(4)= 6(4) -5 = 24-5 = 19
Six minus a number divided by 3 equals 8. What is the number?
Answer:
-18
Step-by-step explanation:
let n be the number
(6-n)/3 = 8
6-n = 24
6-24 = n
-18 = n
Answer:
The number is 30
Step-by-step explanation:
Six minus a number divided by 3 equals 8
x-6/3 = 8
x-6 = 8*3
x = 24 +6
x = 30
