Answer:
AC = 9.39 cm
Step-by-step explanation:
sin 80 = m/8
m = 7.88
cos 80 = n/8
n = 1.39
p = 6.5 - 1.39 = 5.11
AC² = 7.88² + 5.11²
AC = 9.39 cm
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
Answer:
A. 0.2734 = 27.34% probability that there are an equal number of boys and girls
B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
Step-by-step explanation:
In each of these questions, the binomial probability distribution is used.
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.
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
8 children means that [tex]n = 8[/tex]
Each children is equally as likely to be a boy or a girl, which means that [tex]p = 0.5[/tex]
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]
0.2734 = 27.34% probability that there are an equal number of boys and girls
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
80% accurracy rate means that [tex]p = 0.8[/tex]
7 questions means that [tex]n = 7[/tex]
The probability is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753[/tex]
0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
A car dealership allows you to customize your new car. You can choose between blue, red, black, or silver paint. The interior comes in leather or cloth. You can also choose between a manual or automatic transmission. How many different new cars can you create?
a 32
b 16
c 8
d 10
Answer:
I think the answer is 16 option b
The data set below represents
the high temperature of 10
cities on a certain day:
{68, 73, 95, 81, 85,
90, 77, 84, 75, 92}
What is the mean?
Ms. Guel
Mr. Le
A) 85
B) 86
C) 83
D) 80
E) 82
Mr. Stauffer
Mrs. Emrey
Ms. Fiala
Gina Wilson Athias Abrol. 2014
A trapezoid has a base of 5cm, a height of 4cm. What is the area?
Answer:
area = 16 cm²
Step-by-step explanation:
area of rectangle = 3x4 = 12
area of triangle = 2x4x0.5 = 4
12 + 4 = 16 cm²
another way is :
1/2(b1+b2)(h) = area
1/2(3+5)(4) = 16 cm²
The arc length of this circle is 9.42 inches. Determine the length of the radius.
Complete your work in the space provided.
Answer:
Radius = 5.996958 (They probably just want “6”).
Step-by-step explanation:
9.42x4=37.68 (perimeter)
Perimeter=2[tex]\pi[/tex]r
37.68÷2[tex]\pi[/tex]=r
5.996958=r
Will Give Brainliest if you anwser the question before 12:45
Answer:
[tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Math
Converting to FractionsKCF - Keep Change Flip (Dividing Fractions)Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
Step 2: Compute
(Parenthesis) [Fraction] (Parenthesis) Subtract: [tex]\displaystyle (\frac{1.9 \cdot 2\frac{1}{3}}{3.8 \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Convert to fractions: [tex]\displaystyle (\frac{\frac{19}{10} \cdot \frac{7}{3}}{\frac{38}{10} \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Multiply/Divide: [tex]\displaystyle (\frac{\frac{133}{30}}{\frac{266}{3}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Divide: [tex]\displaystyle (\frac{1}{20} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Convert to fraction: [tex]\displaystyle (\frac{1}{20} + \frac{1}{8}) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Add: [tex]\displaystyle \frac{7}{40} \div 2\frac{1}{2} + 0.43[/tex]Divide: [tex]\displaystyle \frac{7}{100} + 0.43[/tex]Convert to fraction: [tex]\displaystyle \frac{7}{100} + \frac{43}{100}[/tex]Add: [tex]\displaystyle \frac{50}{100}[/tex]Simplify: [tex]\displaystyle \frac{1}{2}[/tex]Which functions have a removeable discontinuity? Check all that apply.
Answer:
1,3,4
Step-by-step explanation:
Answer:
1 3 4 / a b d
Step-by-step explanation:
Its the pythagorean theorum in reverse. :)
Find the area of the polygon
Answer:
14 square units
A beetle was running along a number line...The the bug ran from 13 to 57. What distance did it cover?If it took the bug 5 seconds, what was its average speed?
Answer:
8.8
Step-by-step explanation:
57-13=44
so the distance is 44 considering that it's on a number line.
Average speed = distance ÷ Time
44÷5=8.8
PLEASE HALP ALL MY POINTS AND BRAINIEST
Answer:
around 120
Step-by-step explanation:
Christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 for a CD costing $16.88. She spent $99.35 on the gifts. How many videos and how many CDs did she buy?
Let v = number of video's she bought
Let c = number of CD's she bought
v+c=16
1495v+1688c=9355
Multiply both sides of (1) by 1495
and subtract (1) from (2)
-1495v-1495c=-8970
193c=386
c=2h
Bananas are priced at 5 for $1.00 as shown in the table. Which option describes the dependent quantities given in this table?
options:
a. there is no dependent quantity
b. the number of bananas
c. the cost of the bananas
d. the numbers 5, 10, 15, 20
Answer: It's the cost of the bananas
7 9 4
-2 4 -3
3 10 0
Inverse of this
Answer:
The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0
Step-by-step explanation:
If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.
848 runners entered a race. 274 more entered before
the race started. How many runners are in the race?
Answer:
1122
Step-by-step explanation:
Answer:1122
Step-by-step explanation: Adding 848, to 274= 1122.
Jim is saving nickels, dimes and quarters to buy a baseball mitt. He has 12 more
dimes than quarters, and 8 fewer nickels than twice the number of quarters. The total
amount he has saved is $17.00. What number of each kind of coin he has
Answer:
36 quarters 48 dimes 64 nickels
Step-by-step explanation:
quarter = q
dime = q+12
nickel = 2q-8
$17 = 1,700 cents
(q)25 + (q+12)10 + (2q-8)5 = 1,700
25q +10q+120 +10q-40 =1,700
45q+80 = 1,700
45q = 1620
q= 36
36 QUARTERS x25 = 900cents
48 DIMES x10 = 480 cents
64 NICKELS x 5 = 320 cents
TOTAL 1,700 cents ($17)
Find the distance between the points (-7, -9) and (9, -9).
Answer:
may be the answer is (16,-9)
Destiny bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Destiny drink?
A. 6/12 Carton
B. 9/12 Carton
C. 6/15 Carton
D. 1 Carton
Answer:
B
9/12 carton
Step-by-step explanation:
Get both fractions to have the same denominator.
So make 3 into 12 by multiplying numerator and denominator by 4.
1×4/ 3×4 = 4/12
Now you can add the fractions.
5/12 + 4/12
= 9/12 Carton
Nicki needs to purchase AT LEAST 65 party decorations. The Party Palace charges
$0.50 per decorative streamer and $0.25 per balloon, including tax. Which
combination of streamers and balloons can Nicki purchase with $20.00 at the Party
Palace?
Answer:
B
Step-by-step explanation:
B is the most likely answer due to
13x.5=6.5
and
53x.25=13.25
13.25+6.5=19.75$
Now stop making a high schooler do your work xD
What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5
Answer:
D
Step-by-step explanation:
Answer:
I think this one is C
Step-by-step explanation:
It seems like its counting by 5's and the answer to the first equation
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
Help need to know the cross section shape
Answer:
Step-by-step explanation:
Rectangle
a circular garden has a diameter of 18 meters. darryl wants to put a fence around the garden. how many meters of fence will he need?
A. 324 meters
B. 28.26 meters
C. 56.52 meters
D. 1,017.36 meters
Answer:
Step-by-step explanation:
Circumference of a circle is
[tex]C=\pi d\\ \\ d=18\\ \\ C=18\pi \ meters\ (exact)\\ \\ C\approx 56.52\ meters[/tex]
Please help me I don’t get it
Answer:
The number is 4
Step-by-step explanation:
We set up the equation given the conditions listed. Since it says 5 times the difference between a number and 7, we can use x as a placeholder for the number.
(x-7) is the difference between the number and 7. The question asks for 5 times that difference thus we multiply the entire thing by 5 giving us 5(x-7. The question says that it all equals -15 so we set that expression equal to -15.
Thus we get the equation and solve:
5(x-7)= -15 (distributive property)
5x-35= -15 (add 35 to both sides)
5x=20 (divide by 5)
x=4; so the number is 4
SOMEONE PLEASE HELP EVEN IF ITS JUST WHAT YOU THINK PLEAE
A solution of a battery is 14% sulfuric acid. If we have 9 gallons of the
solution, how much of it is acid?
Answer:
14% od 2 gallons
Step-by-step explanation:
hope this helped also is this blue sign showing up saying something out exam mode?
Hurry I need this answer
Answer: I am here to help and save the day....
Step-by-step explanation:
I hope I helped have a great day bye.
Use special right triangles.
Find the exact value of x and y.
18
30°
X = ?
y = ?
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
Jamal used 1/3 yard of ribbon to tie a package and 1/6 yard of ribbon to tie a bow. How many yards of ribbon did Jamal use?
Make both equal fractions, 1/6 = ?/3
Answer:
1/2 yds.
Step-by-step explanation:
Make 1/3 and 1/6 into equal fractions...2/6 and 1/6.
Add 2/6 and 1/6 to get 3/6.
3/6 simplified is 1/2.
Hope this helped : )
Fatima opened a savings account with $7,500. She decided to deposit that same amount semiannually. This account earns 3.975% interest compounded semiannually. Exercises 5-7 are about Fatima's account. 5. What is the future value of the account after 10 years?
Answer:
A = $11117.25
Step-by-step explanation:
Given the following data;
Principal = $7,500
Interest rate = 3.975% = 3.975/100 = 0.03975
Number of times, n = 2
Time, t = 10 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 7500(1 + \frac{0.03975}{2})^{2*10}[/tex]
[tex] A = 7500(1 + 0.019875)^{20}[/tex]
[tex] A = 7500(1.019875)^{20}[/tex]
[tex] A = 7500(1.4823)[/tex]
A = $11117.25
