Answer:
0.12
Step-by-step explanation:
Probability is defined as the number of possible outcomes divided by the total outcome.
Given that 15% of the students drive to school and of the students that drive to school, 80% are seniors then the probability a randomly selected student drives to school and is a senior P(D&S)
= 15% * 80%
= 15/100 * 80/100
= 0.12
The 4th option
This question is based on the concept of probability. Therefore the correct option is (D), that is 0.12 is the probability a randomly selected student drives to school and is a senior.
Given:
At a large high school, 15% of the students drive to school. Of the students that drive to school, 80% are seniors.
We have to calculated the probability a randomly selected student drives to school and is a senior.
By the definition of probability,
Probability is branch of mathematics, and it is defined as the number of possible outcomes divided by the total outcome.
Given that, 15% of the students drive to school and of the students that drive to school, 80% are seniors.
Hence, the probability a randomly selected student drives to school and is a senior is ,
[tex]=\dfrac{15}{100} \times \dfrac{80}{100}\\\\= 0.15 \times 0.8\\\\= 0.12[/tex]
Therefore, the correct option is (D), that is 0.12 is the probability a randomly selected student drives to school and is a senior.
For more details, prefer this link:
https://brainly.com/question/11234923
A car is travel 210 km in 3 hours?
And what type of proportion?
Sana po masagot na agad kailangan na po
Answer:
70 km/h
Step-by-step explanation:
A car is travel 210 km in 3 hours.
Distance, d = 210 km
Time, t = 3 hours
We can find the speed of the car. The speed of an object is equal to the total distance divided by time taken.
v = d/t
Substitute the values,
[tex]v=\dfrac{210\ km}{3\ h}\\\\v=70\ km/h[/tex]
So, the required speed of the car is 70 km/h.
HELLLLLPPPPPPPPP MEEEEEEEE PLEASEEEEEEEEE
Answer: I believe it's -2
Step-by-step explanation: PLease mark me as brainlist
Fine the equation of the line through (o, -3) perpendicular to y =4x+4
Answer:
The equation of the line is [tex]y = -\frac{x}{4} - 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(the value of y when x = 0).
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Line perpendicular to y = 4x + 4.
This line has slope 4, so our line will have slope:
[tex]4m = -1[/tex]
[tex]m = -\frac{1}{4}[/tex]
So
[tex]y = -\frac{x}{4} + b[/tex]
Through (0, -3)
This means that [tex]b = -3[/tex]
So
[tex]y = -\frac{x}{4} - 3[/tex]
I GIVEEE BRAINLILSTTTT
Answer:
oi['po
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lk/
Step-by-step explanation:
l/kkllk/lk/l/
sand is leaking through a small hole at the bottom of a conical funnel at the rate of 12cm3/s . if the radius of the funnel is 8 cm and the altitude of the funnel is 16 cm, find
a) the depth of the salt water after 30 second
b)the rate of change of its depth at that instant
Answer:
h ≅ 16.29 cm
[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]
Step-by-step explanation:
From the conical funnel;
Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)
Then;
[tex]tan \theta= \dfrac{r}{h}[/tex]
[tex]tan \theta= \dfrac{8}{16}[/tex]
[tex]tan \theta= \dfrac{1}{2}[/tex]
∴
[tex]\dfrac{r}{h} = \dfrac{1}{2}[/tex]
[tex]r = \dfrac{h}{2}[/tex]
The volume (V) of the cone is expressed as:
[tex]V = \dfrac{1}{3}\pi r ^2 h[/tex]
[tex]V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h[/tex]
[tex]V = \dfrac{\pi h^3}{3\times 4}[/tex]
[tex]\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}[/tex]
[tex]\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]
Given that:
[tex]\dfrac{dv}{dt} = 12 \pi[/tex]
Then:
[tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]
[tex]- \int 48 \ dt = \int h^2 \ dh[/tex]
[tex]\dfrac{h^3}{3}= -48 t + c[/tex]
[tex]At \ t = 0 \ ; h = 0[/tex]
∴
[tex]\dfrac{0^3}{3} = -48(0) + c[/tex]
c = 0
So;
[tex]\dfrac{h^3}{3}= -48 t + 0[/tex]
[tex]\dfrac{h^3}{3}= -48 t[/tex]
t = 30
[tex]\implies h = (-48(30))^{1/3}[/tex]
h = 16.2865
h ≅ 16.29 cm
Thus;
from [tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]
[tex]\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}[/tex]
[tex]\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }[/tex]
[tex]\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }[/tex]
[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]
A picture has the ratio of 2/3 inch per 1/2 cm. What is the unit rate inches per centimeter?
Answer:
4/6
Step-by-step explanation:
x2
hope it helps
A student has 30 homework questions to complete. Before basketball practice, the student completes 2/5 of the homework questions. How many questions did the student complete before basketball practice?
Answer:
12 home work
Step-by-step explanation:
Step one:
given data
A student has 30 homework questions to complete
the student completes 2/5 of the homework questions.
Required
The number of completed homework
Step two:
The number of completed homework= 30*2/5
The number of completed homework= 60/5
The number of completed homework= 12
Write an integer to represent the situation.
a football player gains 21 yards
Answer:+21
Step-by-step explanation:
21 + 0
Someone help me please
Find the total cost. $ 1,299 T.V.; 7% tax
Math
Find the approximate perimeter of ABC plotted below.
B(-2,3)
A(-4,1)
C(3,-4)
A. 20.0
B. 21.2
C. 22.4
D. 23.6
Answer:
B. 21.2
Step-by-step explanation:
Perimeter of ∆ABC = AB + BC + AC
A(-4, 1)
B(-2, 3)
C(3, -4)
✔️Distance between A(-4, 1) and B(-2, 3):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)} [/tex]
[tex] AB = \sqrt{4 + 4} [/tex]
[tex] AB = \sqrt{16} [/tex]
AB = 4 units
✔️Distance between B(-2, 3) and C(3, -4):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)} [/tex]
[tex] BC = \sqrt{25 + 49} [/tex]
[tex] BC = \sqrt{74} [/tex]
BC = 8.6 units (nearest tenth)
✔️Distance between A(-4, 1) and C(3, -4):
[tex] AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)} [/tex]
[tex] AC = \sqrt{47 + 25} [/tex]
[tex] AC = \sqrt{74} [/tex]
AC = 8.6 units (nearest tenth)
Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units
Answer:
A, 20.0
Step-by-step explanation:
Sarah is going on a trip. She drives for 1 hours and 15 minutes, rests for 15 minutes and drives for another 2 hours 50 minutes. What is her total travel time in hours and minutes
Answer:
4 hours and 20 minutes
Step-by-step explanation:
I'll add the steps if you want me to.
A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
i’ll give brainliest please help
Answer:
5 black counters
Step-by-step explanation:
1/3 to sixths would equal two sixths. The problem already told us three of the siths, meaning the 15 are the other three sixths. Since 3/6 are half of the bag, then multiply 15 by two. Since there are 30 in all, and the bags are in thirds, you devide by three. Since 10 is the 1/3, you divide by 2 (10 by 2) since you multiply 1/3 to get the equivalant of 2/6. There are 5 black ones.
You could've also had done 30 divided by 6 to get 5 which is still the 1/6 of the bag.
? • (-10) = 90
I need a little help. If you can also explain that would help as well.
Answer:
[tex] - 9 \times - 10 = 90[/tex]
Step-by-step explanation:
the answer is -9
hello, it's easy❤
answer is -9
Please answer this correctly without making mistakes I have to finish my sums till 100 today
Answer:
26 feet 2 inches
Step-by-step explanation:
Given:
78 feet 6 inches
Divide by 3
Computation:
78 feet 6 inches
78/3 feet 6/3 inches
26 feet 2 inches
A race car driver won a 300 mile race with a speed of 132.1 miles per hour. Find the driver's time.
Answer:
2 hours and 27 minutes
Step-by-step explanation:
300 divided by 132.1 = 2.271
2.27 (simplified)
Answer:
2.27100681302 hours
Step-by-step explanation:
hope this helps <3
How many sheets of plywood would you need for two gables in a home if the gables are 42’ wide by 5’ high?
Answer:
7 sheets
Step-by-step explanation:
Dimension of gabble = 42' by 5'
Dimension of standard plywood sheet : 4' by 8'
Area that will be covered by gabble :
Length * width :
42 * 5 = 210 in²
Area covered by 1 plywood sheet :
4 * 8 = 32 in²
Number of plywood sheets required :
Area of gabble / Area of 1 plywood sheet
210 in² / 32 in²
= 6.5625
This means the number of plywood sheets that will be required is 7
Help me pls I don’t getvthis
for adding and subtracting fractions:
always have the same denominator.
9/11 - 1/3
27/33 - 11/33
= 16/33
request: please mark brainiest, and click the thanks button if correct <3
2. SUBTRACT: x2 + 3xy-y2 from x2 + 5xy
Answer:
y² + 2 x y
Step-by-step explanation:
Given polynomials
x² + 3x y -y² and x² + 5xy
The subtract x² + 3x y -y² from x² + 5xy
x² + 5xy - ( x² + 3x y -y²)
⇒ x² + 5xy -x² - 3xy +y²
⇒ 2 x y + y²
solve log4(x + 20) = 3
Answer:
Algebra Examples Rewrite log4(x+20)=3 log 4 ( x + 20 ) = 3 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b ≠ 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .
Step-by-step explanation:
Using the segment addition postulate, find the value of x.
HI = 6x + 8
DJ = 2x - 4
HJ = 124
a. 15
b. 16
c. 9
d. 14
Answer:
A. 15
Step-by-step explanation:
The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.
Using the segment addition postulate, The value of x is 15.
What is segment addition postulate?The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.
WE have been given the following parameters;
HI = 6x + 8
DJ = 2x - 4
HJ = 124
Then by using the segment addition postulate,
HI + DJ + HJ
(6x + 8) +(2x - 4) = 124
8x + 4 = 124
8x = 120
x = 15
(6x + 8) = 6(15) + 8 = 78
(2x - 4) = 2(15) -4 = 20
Therefore, the value of x is 15.
Learn more about the segment addition postulate,
https://brainly.com/question/17259950
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Look at the triangle shown. What is the measure of the interior angle y? The measure of angle y is
Answer:
55
_________
I just did this lol, Be safe <3
it is 55 the first guy or girl is right i tried it
55
State YOUR thoughts/reactions
WRITE AT LEAST 4 COMPLETE SENTENCES IN PARAGRAPH FORMAT.
When Saul died, David was crowned king. David united the tribes and continued the fight against the Philistines and other enemies. He captured Jerusalem and made it his capital, starting its transformation into one of history’s most important cities.
David’s son Solomon inherited a peaceful kingdom. He built a great stone temple in Jerusalem. Solomon’sTemple became the focus of religious life. Solomon used trade and taxes to fund other huge building projects. However, most of the tax burden fell on the northern tribes, who came to resent Solomon’s
Answer:
All you have to do is write how you feel about this it's simple :|
Step-by-step explanation:
Which number sentence shows one way to find the sum of 4 and 5?
Answer:
x-5=4 or simply 4+5
Step-by-step explanation:
Im not sure if this is how you mean they both have a way of showing the sum of 4 and 5.
Answer:
4 + 4 + 1 = 9
Step-by-step explanation:
to solve this, we first find the sum of 4 and 5, which is 9.
Then, we can observe our answer choices, and see that option 4.) would be correct, because the sum still is equal to nine, even though the numbers are different from the original problem.
A phone company has two long distance
calling plans. The first plan is $25 per month
for unlimited long distance calling. The second
plan is $10 per month plus $0.05 per minute
of long distance calling. After how many
minutes of long distance calls will it be cheaper
for a customer to purchase the first plan?
Answer:
After 300 minutes of long distance calls it will be cheaper for a customer to purchase the first plan.
Step-by-step explanation:
With the information provided, you have to find the amount of minutes of long distance calls where it will be cheaper for the customer to purchase the first plan by stating that the price of the second plan which is calculated by adding up the fixed fee plus the result of multiplying the price per minute for the number of minutes is higher than the price of the first plan, which could be express as:
10+0.05x>25, where:
x is the number of minutes
Now, you can solve for x:
0.05x>25-10
0.05x>15
x>15/0.05
x>300
According to this, the answer is that after 300 minutes of long distance calls it will be cheaper for a customer to purchase the first plan.
What is 4.5 X 0.75 please include answer with explanation also, any profile that sends jokes or any false information with jokes will be reported.
Answer:
3.375
Step-by-step explanation:
solve for m 4=m+4 :) what does m = ?
Answer:
8
Step-by-step explanation:
Where does the line 3x + 7y = 2 intersect the x- and y-axis?
Answer:
he line will intersect the y-axis where x = 0. So we get 7y= 14, or y=2. Hence the line will intersect the x-axis at (0,2).
Step-by-step explanation:
∅·∅
please help me asap
Answer:
Step-by-step explanation:
From the picture attached,
∠4 = 45°, ∠5 = 135° and ∠10 = ∠11
Part A
∠1 = ∠4 = 45° [Vertically opposite angles]
∠1 + ∠3 = 180° [Linear pair of angles]
∠3 = 180° - ∠1
= 180° - 45°
= 135°
∠2 = ∠3 = 135° [Vertically opposite angles]
∠8 = ∠5 = 135° [Vertically opposite angles]
∠5 + ∠6 = 180° [Linear pair of angles]
∠6 = 180° - 135°
∠6 = 45°
∠7 = ∠6 = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠4 + m∠7 + m∠10 = 180°
45° + 45° + m∠10 = 180°
m∠10 = 180° - 90°
m∠10 = 90°
m∠10 = m∠12 = 90° [Vertically opposite angles]
m∠10 = m∠11 = 90° [Given]
Part B
1). ∠1 ≅ ∠4 [Vertically opposite angles]
2). ∠7 + ∠5 = 180° [Linear pair]
3). ∠9 + ∠10 = 180° [Linear pair]
Help I need help with this plz help
Answer:
Histogram thats on the right
Step-by-step explanation:
process of elimination and more specific=qualifying data
