Answer:
$4,200
Step-by-step explanation:
700 x 6 = 4,200
. (10 points) Based on pre-trial speculation, the probability that a jury returns a guilty verdict in a certain high-profile murder case is thought to be 15% if the defense can discredit the police department, and 80% if they cannot. Veteran court observers believe that the skilled defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some evidence. What is the probabiliy that the jury returns a guilty verdict?
Answer:
34.5% probability that the jury returns a guilty verdict
Step-by-step explanation:
We have these following probabilities:
If the police can discredit the police department, 15% probability of a guilty verdict.
70% probability of the police department being discredited by the defense.
If the police can discredit the police department, 80% probability of a guilty verdict.
100 - 70 = 30% probability of the defense not discrediting the police.
What is the probability that the jury returns a guilty verdict?
15% of 70% and 80% of 30%. So
p = 0.15*0.7 + 0.8*0.3 = 0.345
34.5% probability that the jury returns a guilty verdict
21. A quantity of food would last a
family of 5 for 21 days. How long
would the same quantity last a
family of 7 if thev all eat at the same
rate?
Answer:
15 days
Step-by-step explanation:
5 x 21 = 105
105/7 = 15
Answer:
15 days
Step-by-step explanation:
As the number of people in that family increases the time taken reduces, so the time is in inverse proportion to the number of people in that family.
Let the number of days taken by a family of 7 to finish a quantity of food be x.
⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{1}{\frac{7}{5} }[/tex]
⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{5}{7}[/tex]
⇒ x = [tex]\frac{21 * 5}{7}[/tex]
x = 15
∴ It would take a family of 7 15 days to finish a quantity of food.
Hope this helps!!!
I need which other form can you represent the number 2 1/3
Answer:
You can also represent it as [tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{2})^{3} =2\\2^{\frac{1}{3} } =2[/tex]
What is the inverse of the function f(x) = 4x + 8
Answer:
let f(x)= y
y = 4x+8
x= 4y + 8
4y = x - 8
y = (x - 8)/4
Hope this helps.
Answer:
x/4 - 2 = y
Step-by-step explanation:
soo switch x and f(x)
x=4y+8
then bring it back to like how it was before
x-8=4y
then
(x-8)/4=y
then simplify
x/4 - 8/4 = y
which can then be simplified to
x/4 - 2 = y
What is the diameter of the smallest circle that would enclose 2,000 pennies?
Answer:
Almost about 4500 mm
Step-by-step explanation:
Measure the pennies width and estimate. Multilpy by 2000 and there you go!
Need help thanks :) The question is down below
Answer:
n=63
x=117
r=63
p=117
w=117
m=117
k=117
Step-by-step explanation:
If you start with the given angle of 63 p would have to be 117 because 180-63 is 117. This would make r 63 because you would use the 117+63 to make a 180 degree angle. w will then be made 117 because it's vertical to p and vertical angles are congruent. we can find x by using corresponding angles. x= k because they are corresponding angles as well. n would be 63 because of k being 117 and because of vertical angles m is 117.
Hope this helps :)
if ten coins are spun together, the probability of four or more heads is 0.83. the probability of eight or more is 0.05. find the probability of:
I) less than four. II)fewer than 8
Answer:
a. 0.17
b. 0.95
Step-by-step explanation:
The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening
Firstly, we want to calculate the probability of less than four
Probability of less than four = 1 - probability of four or more heads
that is 1 - 0.83 = 0.17
Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95
The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?
Answer:
{y: y = –7, –2, 3, 8}
Step-by-step explanation:
What is the value of y when x = 6?
-3x + 9y = 18
Answer:
y = 6
Step-by-step explanation:
-3x + 9y = 18
-3(6) +6y = 18
-18 +6y = 18
Add 18 to each side
-18+18 +6y =18+18
6y = 36
Divide each side by 6
6y/6 = 36/6
y = 6
19. A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2/3 . The ratio of blueberry to cinnamon muffins sold was 1. If 60 blueberry muffins were sold on Monday, how 4/1 many more cranberry muffins than cinnamon muffins did the bakery sell? *
Answer:
25
Step-by-step explanation:
The ratio of cranberry to blueberry muffins sold was 2/3.
This means that for every 3 blueberry muffins, 2 cranberry muffins were sold.
The ratio of blueberry to cinnamon muffins sold was 4/1.
This means that for every cinnamon muffin, 4 blueberry muffins were sold.
In other words, the ratio of cinnamon muffins to blueberry was 1/4.
60 blueberry muffins were sold on Monday.
This means that the number of cranberry muffins sold was:
2/3 * 60 = 40 cranberry muffins
This also means that the number of cinnamon muffins sold was:
1/4 * 60 = 15 cinnamon muffins
To find how many more cranberry muffins were sold than cinnamon muffins:
40 - 15 = 25 muffins
25 more cranberry muffins were sold.
Answer:
25
Step-by-step explanation:
12(3x)=12 what does x equal
Answer:
x=0.333
Step-by-step explanation:
12(3x)=12
36x=12
/36 on both sides
x=0.333
Help me please please
Answer:
1/2 = 2^-1 = 1/2
Step-by-step explanation:
The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...
[tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]
__
Additional comment
It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.
The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.
Complete the recursive formula of the geometric sequence-0.56,-5.6,-56,-560
The full recursive formula can be defined by these two parts
[tex]\begin{cases}a_1 = -0.56\\ a_n = 10*a_{n-1}\end{cases}[/tex]
The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10
second term = 10*(first term) = 10*(-0.56) = -5.6
third term = 10*(second term) = 10*(-5.6) = -56
etc etc
Which are linear pairs? Check all that apply.
A. ∠DAE and ∠EAD
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
E. ∠CAE and ∠BAD
Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.
Answer:
B, C, and D
Step-by-step explanation:
Help me with this question please
Answer:
x < 6
Step-by-step explanation:
There is an open circle ( no equals) at 6 and the line goes to the left
This means that it is less than 6
x < 6
Solve for x. 2x = 15 + x
A.) x = -15
B.) x = 15/2
C.) x = -15/2
D.) x = 15
Option D( X=15)
Solution,
2x=15+x
or, 2x-x=15
X=15
hope it helps...
Good luck on your assignment...
Answer:
[tex]x = 15[/tex]
Step-by-step explanation:
[tex]2x = 15 + x \\ 2x - x = 15 \\ x = 15[/tex]
Answer D is correct
18. QS bisects ZPQR. If mZPQS = 3x and
mZROS = 2x + 6, then mZPQR =
?
A. 18°
B. 36°
C. 30°
D. 6°
PLS HELP ME WITH THIS
Answer:
so the answer is the second one. Hope this working helps
If x and y are positive real numbers, which expression is equivalent to the expression below?
(49x^2y)^1/2(27x^6y^3/2)^1/3
A.) 21x/^3y
B.) 10x^2y
C.) 10x^3y
D.) 21x^3y^2
The answer is A.) 21x/^3y
Here is proof
A certain brand of candy is sold by weight, with a 3 oz bag costing $0.75. if a bag of this candy costs $2.00, what does it weight
Answer:It weights 8 oz.
Step-by-step explanation:
[tex]\frac{3}{0.75} = \frac{x}{2}[/tex] solve by cross product
0.75x = 6 now divide both sides by 0.75
x= 8
can someone answer number 11 and show the work? I need it bad, please .
Answer: 8
Evaluating the function for x = -1
[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]
Please if you know this please help me I’m stuck I don’t know
Answer:
The vertical angles theorem
Step-by-step explanation:
The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.
Angles ∠JKN and ∠MKL fit the criteria of the vertical angles theorem, meaning they are congruent.
Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:15
Step-by-step explanation:
its obvious lol simple maths
the volume of a cylindrical container is 1500 cm cube if the base area of the container is 120 cm cube what is the height of the container
Answer:
12.5cm
Step-by-step explanation:
The height is found in the following way:
Volume divided by Area of Cross section.
So,
1500 divided by 120 = 12.5 cm
the area of a right angled triangle is 600cm^.if base of the base of the exceeds the altitude by 10,find the dimensions of the triangle
Answer:
b => base => 40 cm
h => altitude => 30 cm
A = h*b/2
h=b-10
600=(b-10)b/2
600 = (b^2-10b)/2
1200=b^2-10b
b^2-10b-1200=0
(b-40)(b+30)=0
b=40 cm
h=b-10 = 40-10=30
Mark asked each student in a class to name their favourite colour. For this class, the number of students who said blue is three times the number of students who said green. Write down the ratio of the number of students who said blue to the number of students who said green.
Answer:
3:1
Step-by-step explanation:
Since there are 3 times more blue favorite kids, the ratio is
3:1
The ratio of the number of students who said blue to the number of students who said green is 3 : 1.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Mark asked each student in a class to name their favorite color.
For this class,
the number of students who said blue is three times the number of students who said green.
Let n be the number of students who said green.
Then, 3n, the number of students who said blue.
The ratio of the number of students who said blue to the number of students who said green.
= 3n/ n
= 3/1
= 3: 1.
Therefore, the ratio is 3 : 1.
To learn more about the ratio;
https://brainly.com/question/13419413
#SPJ2
If the diameter of a circle is 7 inches,
which is closest to the circumference?
F 21.98 in.
G 38.47 in.
H 43.96 in.
J 153.86 in.
Work Shown:
Circumference = pi*diameter
Circumference = 3.14*7
Circumference = 21.98 inches approximately
This is approximate since pi = 3.14 is approximate.
work out the area of this circle when its the diameter 9m take pie to be 3.142 and give your answer to 2 decimal places.
3.142*4.5²=63.6255
Answer=63.63
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
Convert the following time to 24-hour clock time.
1) 7:25 p.m
2) 9:10 a.m
Convert the following time to 12 hour clock.
1) 0010 hours
2) 1800 hours
Answer:
1925, 091012:10 a.m., 6:00 p.m.Step-by-step explanation:
24-hour time has 12 hours added for p.m. The time is written as HHMM, a 4-digit number of "hours." (The two right-most digits are minutes.)
1) 7:25 p.m. ⇒ 1925 hours
2) 9:10 a.m. ⇒ 0910 hours
__
12-hour time starts at midnight, 12:00 a.m. That corresponds to 0000 hours in 24-hour time. Anything beyond 1200 hours is afternoon, p.m.
1) 0010 hours ⇒ 12:10 a.m.
2) 1800 hours ⇒ 6:00 p.m.
Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.
Answer:
Q1: n*m
Q2: A = 3x+6
Step-by-step explanation:
Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):
[tex]T = n*m=nm[/tex]
Q2: The area of a rectangle is given by the product of its height by its length:
[tex]A = (x+2)*3\\A=3x+6[/tex]
The area of this rectangle is given by the expression A = 3x+6.
