Answer:
Step-by-step explanation:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
a²+b²=c²
30²+72²=c²
900+5184=c²
[tex]\sqrt{6084} =c^{2}[/tex]
c=[tex]\sqrt{6084} =78[/tex]
Hope this helped!!
Answer:
78
Step-by-step explanation:
giving brainliest! show some work too tysm !
Answer:
the third choice is the answer.
Step-by-step explanation:
the chance of recieve a blue pen
= 0.008
the chance of recieve a blue tote bag
= 0.04
0.008 < 0.04
Find the area of the shaded region. Round to the nearest tenth if necessary.
22 cm
15 cm
31 cm
Answer:
[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]
PLZ HELP! AND NO LINKS I will mark the brainiest to whoever can answer this!!!!!!!!
Answer:
A. 7
Step-by-step explanation:
The rest of the numbers are in the 20's and 30's. 7 is obviously a single digit number, meaning that it is the outlier.
One bead for every member of the school orchestra is placed in a bag. All but 2 of the beads are white. Each member draws a bead from the bag, and the members who pick the non-white beads will represent the orchestra. It is predicted that two different instrument players will choose the white beads.
We are to say whether the conclusion is valid.
Answer:
Statement is valid.
Step-by-step explanation:
We are told that One bead is placed in a bag for every member of the school orchestra.
Also that all the beads except for 2 are white. Now, each member takes a bead from the bag and those who lick the non-white will represent the orchestra.
This tells us that this is an unbiased sample because it doesn't give anyone a better chance of picking non-white as every member of the school orchestra has an equal chance since it is randomly selected.
Thus, we can conclude that the statement that two different instrument players will choose the white beads is valid because we are dealing with an unbiased and simple random sampling
Mr. Brown owns a hardware company and has two trucks that are used to carry supplies. Truck A can carry a total of 3.45 tonnes and truck B 1500kg. What is the combined weight in kg? *
Answer:
4950kg
Step-by-step explanation:
PLEASE HELP
Which of the following are true if event A and B are independent
Answer:
a) [tex]P(B/A) = P(B)[/tex]
Step-by-step explanation:
Step(i):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
we will use the conditional probability
[tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]
or
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
Step(ii):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
[tex]P(B/A) = P(B)[/tex]
Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?
Answer:
each wood is 3/4 and there is 7wood so it's 7*3/4
Step-by-step explanation:
7×3/4
=21/4
Over a two week period you worked 7 1/2 hrs a day for 8 days. You earn $11.50 an hour. How much money did you earn in your paycheck after $3 was taken out for taxes?
Answer: [tex]\$687[/tex]
Step-by-step explanation:
Given
Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days
Money earned is $11.50 an hour
Total working hours
[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]
Money earned
[tex]=60\times 11.50=\$690[/tex]
After-tax deduction
[tex]\Rightarrow 690-3=\$687[/tex]
Answer:
Step-by-step explanation:
Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes
Answer:
She has 18 combinations to choose from
Step-by-step explanation:
The tree diagram is as follows
yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from
She has 3*3*2= 18 combinations to choose from
help pls! i don't understand
Jon drove 365 miles on 20 gallons of gas. How many miles did he get per gallon?
Show work pls (no links)
Answer: he drove 18.25 miles per gallon
Step-by-step explanation:
365/20=x/1
20x=365
x=18.25
Plsss help ASAP
Will mark brainleist
Answer:
hello! Your answer would be, 1: B) AND 2: D)
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Plzzzzzz help!!!!!!!!
-x + y = 3 and 3x+ y = -1
Answer: {y = x + 3, y = -3 x - 1}
{x + 3 = y, 3 x + y + 1 = 0}
Step-by-step explanation:
Adult tickets to Space City Amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult tickets and 1 child ticket for $163. The Garcia family bought 2 adult tickets and 3 child tickets for $174. Which equation represents the Hensons' cost?
3x+y=163 2x+3y=174
it should be like this {: and each point is one.
Help me please!!!!!
what is the equation
what is the domain
what is the range
Answer:
equation: y = 5x
domain: all real numbers
range: all real numbers
Step-by-step explanation:
pls help me with 3,4, and 5
Answer:
#3 C. Subtract 11
#4 D. Subtract 10
#5 A. Add 9
Answer:
Step-by-step explanation:
3) Subtract 11
25-11=14
42-11=31
42-11=31
50-11=39
59-11=48
4) Subtract 10
26-16=10
32-10=22
44-10=34
48-10=38
55-10=45
5) Add 9
10+9=19
22+9=31
23+9=32
24+9=33
46+9=55
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Answer: 80
Step-by-step explanation:
24 = 30%
48 = 60%
72 = 90%
24/3 = 10% = 8
72 + 8 = 80
what is the equation of the following line? Please help
Answer:
D
Step-by-step explanation:
just trust me on this one
Answer:
y= -1/3x
Step-by-step explanation: use y=mx+b
m is the slope (rise over run)
x stays as x
b = is the coordinate on the y-axis where the graph crosses the y-axis.
Find the zeros of the following factored quadratic function.
f(x) = (9x - 1)(7x - 3)
Answer:
63x^2-34x+3
Step-by-step explanation:
Which gives all the solutions of the equation x2 – 2x + 1 = 0?
Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y = 19
Answer:
y = -1
Step-by-step explanation:
The standard form of equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19
Make y the subject of the formula in both expressions
For 2x - y = 9
- y = 9- 2x
y = 2x - 9
Similarly for 3x - 7y = 19
-7y = 19 - 3x
7y = 3x - 19
y = 3/7 x - 19/7
Equating both expressions
2x - 9 = 3/7 x - 19/7
Multiply through ny 7
14x - 63 = 3x - 19
14x - 3x = -19 + 63
11x = 44
x = 44/11
x = 4
Since y =2x - 9
y = 2(4) - 9
y = 8-9
y = -1
Hence the coordinate of intersection is at (4, -1)
Get the equation of the line passing through (-3, -1) and (4, -1)
Slope m = -1+1/4+3
m = 0/7
m = 0
Get the intercept
Substitute m = 0 and (-3, -1) into y = mx+b
-1 = 0(-3) + b
-1 = b
b = -1
Get the required equation
Recall that y = mx + b
y = 0x + (-1)
y = -1
Hence the required equation is y = -1
A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, , that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
Not large
Total number of marbles = 4 + 7 + 6 = 17
Number of green marbles = 7
Probability of first marble being green = 7/17
Probability of the second marble being green = 6/16
Probability of the third marble being green = 5/15
Probability (3 green) = 7 / 17 * 6/16 * 5/15 = 210 / 4080 = 0.05147
A video game is in high demand and the store can't keep them in stock. Instead of selling it for $60 they markup the price 17%. What is the new price after the markup?
Answer:
$70.20
Step-by-step explanation:
60 x 1.17 = 70.20
The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
25
O 173 units
O 253 units
277 units
O 325 units
Answer:
area = 277 units²
Step-by-step explanation:
area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²
A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 530 college students showed that 21% of them had, or intended to, cheat on examinations. Find the 95% confidence interval for the population proportion. Round to four decimal places.
Answer:
(0.1753 ; 0.2447)
Step-by-step explanation:
Using the relation :
Confidence interval :
p ± margin of error
p = 0.21
1 - p = 0.79
n = 530
Zcritical at 95% confidence level = 1.96
Margin of Error : Zcritical * sqrt[(p(1-p))/n]
1.96 * sqrt[(0.21(0.79))/530]
1.96 * 0.0176923 = 0.0346769
Margin of Error = 0.0346769
Lower boundary = 0.21 - 0.0347 = 0.1753
Upper boundary = 0.21 + 0.0347 = 0.2447
Confidence interval :
(0.1753 ; 0.2447)
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill the well?
Answer:
volume = 4710 ft³
Step-by-step explanation:
base area = πr² = (3.14)(10²) = 314 ft²
volume = base area x height = 314 x 15 = 4710 ft³
help no links or i will report and i will give the brainliest to the person who answers first
Answer:
45
Step-by-step explanation:
2.5 x 12= 30
1/2 (6) (3)= 9
1/2( 2) (6)=6
30 +9 +6 = 45
85
68
Find the value of the missing angle
Answer:
153
Step-by-step explanation:
68+85+x =180
68+85=153
180-153=27
180-27=153