Answer:
0.3339 = 33.39% probability that both Dave and Mike will show up
Step-by-step explanation:
Probability of independent events:
If A and B are independent events, the probability of both happening at the same time is given by:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
Event A: Dave shows up.
Event B: Mike shows up.
Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.
This means that [tex]P(A) = 1 - 0.47 = 0.53, P(B) = 1 - 0.37 = 0.63[/tex].
a. What is the probability that both Dave and Mike will show up
[tex]P(A \cap B) = P(A)P(B) = 0.53*0.63 = 0.3339[/tex]
0.3339 = 33.39% probability that both Dave and Mike will show up
UNDERSTAND
There are eight cups of ice cream in a large container of Berry
Blast ice cream. Each scoop of ice cream is 1/2 of a cup. How
many scoops of ice cream are in an entire container of Berry Blast
ice cream?
the graph of which function will contain the point(2,10)
Answer:
point (2 , 10)
Y= 5X
10 = 5(2)
10= 10
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
A. For every 8 hair accessories, 4 are bows.
B. For every 8 bows, there are 4 headbands.
C. For every 8 headbands, there are 4 bows.
D. For every 8 hair accessories, 4 are headbands.
E. For every 12 hair accessories, 4 are headbands.
What is x?
33x+2=68
Give brainliest
Answer:
2
Step-by-step explanation:
subtract 68 by 2, then divide by 33
I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist
Answer:
i belive the answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
mark me brainlist plz :)
Need help ASAP
questions in the pics i have sent
Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{KL}{KM}[/tex]
= [tex]\frac{15}{8}[/tex]
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{XY}{XZ}[/tex]
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) = [tex]\frac{24}{40}[/tex]
sin(Z) = [tex]\frac{3}{5}[/tex]
Picture 4
In right triangle DEF,
Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{EF}{DF}[/tex]
= [tex]\frac{75}{72}[/tex]
= [tex]\frac{25}{24}[/tex]
Picture 5
In ΔABC,
tan(63°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(63°) = [tex]\frac{BC}{AB}[/tex]
AB = [tex]\frac{BC}{\text{tan}(63)}[/tex]
AB = [tex]\frac{8}{\text{tan}(63)}[/tex]
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.
please help me i have no clue what to put!!!
Answer:
c
Step-by-step explanation:
Its C the answer is c
if the diameter of a circle is 65 what is the area
Answer:
(4225/4)pi units^2
Step-by-step explanation:
So we need to know the area of a circle formula to find the answer to this question
the formula is A = r^2(pi)
So we have the diameter but we need the radius. The radius is half the diameter so r = 65/2
Now we can plug the radius into the area formula
(65/2)^2*pi =
(4225/4)pi units^2
Answer:
3318.31
Step-by-step explanation:
Linda Rove is paid $6.39 for each table she assembles. Last week she assembled the following number of tables. What was Rove’s pay for the week?
Answer:
6.39 x # of tables assembled
Step-by-step explanation:
Well you didn't tell us the number of tables she assembled that week, but the equation would be 6.39 x the # of tables she assembled.
HALLLPPPPP!!
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8. For each of the given situations, find the AREA of the bounded region, the answer is not A, B, C, or D, I need to solve the answer for that case. (For example, C, it says the line y=6. I need you to find the area of the bounded region when the line y is 6 and intersects the 2 other lines.)
B: the y-axis.
C: the line y=6
Answer:
Step-by-step explanation:
You've omitted A and D.
Find the points of intersection.
y = 3x-6 and y = -2x+8 intersect at (2.8,2.4)
B:
The y-axis and y = 3x-6 intersect at (0,-6).
The y-axis and y = -2x+8 intersect at (0,8)
You have a triangle with base = 14 and height = 2.8
Area = 19.6 sq units
C:
y=6 and y = 3x-6 intersect at (4,6)
y=6 and y = -2x+8 intersect at (1,6)
You have a triangle with base = 3 and height = 6-2.4 = 3.6
area = 5.4 sq units
If y=x2? - 5, find f(-4).
A-9
B-21
O
C 11
D -13
y = x²-5
f(x) = x² - 5
f(-4) = (-4)² - 5
f(-4) = 16 - 5
f(-4) = 11
Answer : C.11give me brainliest pls hehe
1/8(2/3x-32)+3/4x what is the answer to this in factored form
Step-by-step explanation:
am confused about the question
the height in feet of a shirt launched from a t shirt cannon high in the stands at a football stadium is given by h(x) =-16x^2 + 64x + 80 where x is the time in seconds after the t shirt is launched. A.)At what height is the t shirt launched?
B.) what will be the height after 3 seconds?
Answer:
x=2sec
H=144m
Step-by-step explanation:
You deposit $650 in a savings account. How long does it take an account with an annual interest rate of 5% to earn $178.25 in interest? Round your answer to the nearest tenth.
Answer:
about 5 years 6 months
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
t = 178.25 / ( 650 × 0.05 ) = 5.4846
t = 5.4846 years
The time required to
accumulate simple interest of $ 178.25
from a principal of $ 650.00
at an interest rate of 5% per year
is 5.4846 years (about 5 years 6 months).
The line passes through (6,6) and (-2,2)
Step-by-step explanation:
y-y1=m(x-x1)
m=y2-y1/x2-x1
Question 9 PLS it would mean alot
Answer:
7 1/2 minutesStep-by-step explanation:
Question 9
From the previous question we know that:
The rate of draining = 2/3 gal/minRemaining water = 5 galTime to empty the tank is:
5 : 2/3 = 5 * 3/2 = 15/2 =7 1/2 minutes3m² – 17m + 10 factoring polynomials
ratio of 7 to 3 in fraction
Answer:
The answer is 2 and 1/3
Ratio: 7 : 3
Fraction: 2⅓
Consider this expression.
1) Evaluate the given expression for x = 3 and y = 2.
x2- (3x + y) + 16
A) 2
B)14
C) 17
D) 18
Answer:
11
Step-by-step explanation:
3(2) - (3(3) + 2) + 16
6 - (9 + 2) + 16
6 - 11 + 16
11
good luck, hope this helps :)
The given expression [tex]x^2- (3x + y) + 16[/tex] for x = 3 and y = 2. The value would be equal to 14.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given expression
[tex]x^2- (3x + y) + 16[/tex]
for x = 3 and y = 2
By substituting the values in the given expression we get,
[tex]3^{2} - (3(3) + 2) + 16\\\\9 - (9 + 2) + 16\\\\9 - 11 + 16\\\\14[/tex]
Learn more about linear equations;
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Use the sequence {0.3, 0.03, 0.003, 0.003, ... } to answer the question.
What is the explicit rule that describes the sequence?
1 an = 0.3(0.01)(n-1)
2 an = 0.3(0.001)(n-1)
3 an = 0.3(10)(n-1)
4 an = 0.3(0.1)(n-1)
Answer:
2 an ? Im pretty sure hope it helped
Answer:
an = 0.3(0.1)^(n - 1)
Step-by-step explanation:
so it's number 4 ;)
Can someone solve this step by step?
Answer:
2 9/14
Step-by-step explanation:
first we must make 1/6 and 3/7 have common demoniaters! (or however u spell it)
1/6 x 7/7 = 7/42
3/7 x 6/6 = 18/42
7/42 + 18/42 = 25/42
2/7 x 6/6 = 12/42
25/42 + 12/42 = 37/42
37/42 + 7/42 = 44/42
44/42 + 18/42 = 62/42
62/42 + 12/42 = 74/42
5/7 x 6/6 = 30/42
74/42 + 30/42 = 104/42
104/42+7/42 = 111/42
111/42 = 2 9/14
The number of bacteria on a piece of toast triples every
hour. If there is only one bacteria cell now, how many
will there be in 24 hours?
HELP PLZZZ WILL MARK BRAINLIEST!!!
Answer:
You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.
Next hour, it triples again so you now have 1 x 3 x 3=9
You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).
Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:
n x 324 where n is the number of bacteria you begin with.
Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer
Madison read 1/2 of a book in the morning, and she read some more at night. By the end of the day she still had 2/5 of the book left to read. How much of the book did Madison read at night?
Answer: 1/10
Step-by-step explanation:
At the end of the day, she still had 2/5 of the book to read. Which meant that she had read 3/5 of the book. Since she read 1/2 of the book in the day, we would read 3/5 - 1/2 = 6/10 - 5/10 = 1/10 of the book at night.
Equation R: y = -2x + 10
Equation S: y = 3x - 20
What is the solution ( , )
Step-by-step explanation:
3x -20= -2x +10
or,5x=30
or,X=30/5
or,X=6
Y= -2×6 + 10
= -2
therefore solution is (6, -2)
A boat leaves the entrance to a harbor and travels 150 miles on a bearing of N 59° E. How many miles north and how many miles east from the
harbor has the boat traveled?
What is the value of this expression?
1/6 ÷ 12
Answer:
0.01388888888
Step-by-step explanation:
Answer:
[tex] \frac{1}{72} [/tex]
Step-by-step explanation:
[tex] \frac{1}{6} \div 12[/tex]
[tex] = \frac{1}{6} \times \frac{1}{12} [/tex]
[tex] = \frac{1}{72} [/tex]
Hence required answer is 1/72
Also in decimal conversion it will be 0.0138888889
SUMA
RESTA
657 + 234
895 - 653 =
Answer:
891
242
Step-by-step explanation:
For every 5 campers who voted for hot dogs, there were 4 who voted for Spaghetti. If there were 72 campers in all, how many voted for hot dogs?
Answer:
Step-by-step explanation:
5+4 = 9
72/9 = 8
8×5 = 40 voted for hot dogs.
The number of campers who voted for hotdogs is 40 campers
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of campers who voted for hot dogs = 5 campers
Let the number of campers who voted for sphagetti = 4 campers
Now , the total campers = 5 + 4
= 9 campers
5 out of 9 campers vote for hot dogs
So ,
The total number of campers = 72 campers
The equation will be ,
The total number of campers who voted for hotdogs =
( number of campers who voted for hot dogs / the total campers ) x 72
The total number of campers who voted for hotdogs = ( 5 / 9 ) x 72
= 5 x 8
The total number of campers who voted for hotdogs = 40 campers
Hence , The number of campers who voted for hotdogs is 40 campers
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The value V (in dollars) of a vehicle depends on the miles x that it has been driven. This is given in the formula V = 22,000 – 0.25x . After one year, the value of a vehicle is between $12,000 and $15,000.
Which range of miles driven corresponds to this range of values based on the given formula?
Answer:
(28000,40000) or $28,000 to $40,000
Step-by-step explanation:
plug in values as V and solve for x:
12,000=22,000-0.25x
-10,000=-0.25x
40,000=x
15,000=22,000-0.25x
-7,000=-0.25x
28,000=x
an interval notation always has the lower value first so its:
(28000,40000) or $28,000 to $40,000
Calculate the simple interest on $1500 for 3 years at 20% per annum
Answer:
see explanation below
Step-by-step explanation:
1500 × 3 × 20 ÷ 100
$900