Answer:
Formula for volume of hemisphere;
V = 2/3 * π * [tex]r^{3}[/tex]
π - pi, which is 3.14 or 22/7
r = radius (half of the diameter/ 1/2 x diameter)
Since we are given the diameter, we find 1/2 of the diameter to find the radius.
1/2 x 8.9(diameter)
8.9/2 = 4.45 is our radi.
So now, we plug in this value into our equation.
V = 2/3 * π * [tex]r^{3}[/tex]
V = 2/3 * 22/7 * 4.45^3
V = 2/3 * 22/7 * 88.12
V = 2/3 * 276.95
V = 184.63 cubic centimetres.
If p(a) =. 35 and p(b) =. 45 and p(a and b) =. 25, then p(b|a) is
Answer:
p(b|a) =5/7
Step-by-step explanation:
hello :
note : p(b|a) = p(a and b)/p(a)
p(b|a) = 25/35 =5/7
The value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
We're given that:
P(A) = 0.35P(B) = 0.45P(A and B) = P(A ∩ B) = 0.25P(B|A) = to be known.Using the chain rule of probability, we get:
[tex]P(A \cap B) = P(A)P(B|A) \\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.25}{0.35} = \dfrac{5}{7}[/tex]
Thus, the value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
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Which expression is equal to – 8s – 2s2 + 23s – 4?
A. -2s^2 + 15s - 4
B. -10s^2 + 23s - 4
C. -2s^2 - 8s + 19 - 4
D. 13s^2 - 4
Answer:
A. -2s^2 + 15s - 4
Step-by-step explanation:
A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the sample proportion? **Round to two decimal places
The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
How to calculate the confidence interval for proportion?The formula for calculating the confidence interval for proportion is expressed as:
[tex]p \pm z\sqrt{p(1-p)/n[/tex]
p is the proportion
z is the z score at 99% interval
n is the sample size
Given the following parameters
[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]
Substitute the values
[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]
Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
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In ΔSTU, the measure of ∠U=90°, SU = 36, UT = 77, and TS = 85. What ratio represents the secant of ∠T?
Answer:
I think Angle T is 36 degree
I think it will help you
Round to nearest tenth and solve for x
Answer:
[tex]\displaystyle 9,6[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
OR
[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Anyone know this answer too??
Answer:
[tex]x = -21[/tex]
Step-by-step explanation:
[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]
the question is
on the image.
Answer:
PR = 7.99 cm (2 dp)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
a = PRb = PQ = 12.1 cmc = RQ = 14.5 cmSubstituting the given values into the formula;:
⇒ a² + b² = c²
⇒ PR² + 12.1² = 14.5²
⇒ PR² + 146.41 = 210.25
⇒ PR² = 210.25 - 146.41
⇒ PR² = 63.84
⇒ PR = ±√(63.84)
⇒ PR = ±7.99 (2 dp)
As distance is positive, PR = 7.99 cm (2 dp) only
Sketch a graph that shows the relationship between
grams of honey and grams of salt needed for a bakery
recipe. Show on the graph how much honey is needed
for 70 grams of salt.
help pls
Answer: 98g
Step-by-step explanation:Given relationshipSalt >> Honey >> Flour10 >> 14 >> 425 >> 35 >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g
Can someone help me?
Answer:
Min = 4
Q1 = 9.5
Median = 13
Q3 = 16
Max = 19
Step-by-step explanation:
4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19
Q1 Q2 Q3
Min (minimum value) = 4
Q1 (middle value of values before Q2) = (9 + 10) / 2 = 9.5
Median (middle value) = 13
Q3 (middle value of values after Q2) = (15 + 17) / 2 = 16
Max (maximum value) = 19
Given that cosθ= - 21/29 and the angle θ terminates in quadrant II, then what is the value of tan θ
Answer: -20/21
Step-by-step explanation:
Using the Pythagorean identity, we can get that the sine of angle theta is [tex]\pm 20/29[/tex].
But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.
Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21
what is 43-3y=16 find the unknown?
Answer:
9
Step-by-step explanation:
We have to move -3y to by itself so we move 43 to the other side, when we do this 43 becomes negitive.
-3y = 16 - 43
-3y = -27
Now we divide -27 by -3
y = -27/-3
y = 9
[tex]\rightarrow\sf{y \:=\: 9}[/tex]
Solution:-[tex]\rightarrow\sf{43 - 3y\: = \:16}[/tex]
[tex]\rightarrow\sf{-3y\: = \:16-43}[/tex]
[tex]\rightarrow\sf{-3y\: = \:-27}[/tex]
[tex]\rightarrow\sf{3y \:= \:27}[/tex]
[tex]\rightarrow\sf{y\: = \:\frac{27}{3}}[/tex]
[tex]\rightarrow\sf{y \:= \:9}[/tex]
Therefore, value of unknown y = 9.
_________________________________
Hope it helps you:)
name a right angle I need some help
Answer:
90°
Step-by-step explanation:
A right angle is 90° ,learned that in elementary.
Answer:
A right angle is an angle with a 90 degree corner.
Step-by-step explanation:
(05.01 LC) which equation can be used to calculate the area of the shaded triangle below? A. 2(10+6) = 32
B.1 over 2(10 +6) = 8
C. 1 over 2(10 x 6) = 30
D. 2(10 x 6) = 120
Answer:
(c) 1/2(10×6) = 30
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
The shaded triangle has a base of 10 feet and a height of 6 feet. Using these numbers in the formula, the area in square feet is ...
A = 1/2(10×6) = 30 . . . . square feet
This expression matches the 3rd choice.
which expression is a perfect cube?
Answer:
it is option b
Step-by-step explanation:
Pls do let me know in the comments for complete explanation
3.
Write an equation for the inverse function for each one-to-one function.
a. k(x)=58-2
x+10
b. h(x) =
x-3
need some help
Answer:
a) k(x) = 5x - 2
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
k-¹(x) = (x+2)/5
b) h(x) = (x+10)/(x-3)
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
h-¹(x) = (3x+10)/(x-1)
48 ounce bag of granola each month how many pounds if granola does she eat each year
Answer:
12 months = 1 year48 ounce bag of granola per month.
T = 48x
Where 'x' represents the months.
Replace x with 12, because we want to know how many ounces she eats each year.
T = 48x
T = 48(12)
T = 576 ounces, she eats each year.
What are the coordinates?
Answer:
[tex](1,1)[/tex]
Step-by-step explanation:
If you graph it, You can see that the last point will be [tex](1,1)[/tex].
Hope This Helps!
The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the length of a side of the square?
Answer:
5 m
Step-by-step explanation:
The length of the side of a square is the root of the area of the square. The area of this square is the difference between the trapezoid area and the triangle area.
__
square area = trapezoid area - triangle area
square area = 57.5 m² -32.5 m² = 25 m²
Then the side length is ...
side length = √(square area) = √(25 m²)
side length = 5 m
The length of a side of the square is 5 m.
What is the area of a sector with a central angle of 8π11 radians and a radius of 7. 2 ft? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The area of a circle is found as;
A = πr²
A = π(7.2 ft)²
A = 162.78 ft²
The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;
[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]
Hence the area of the sector will be 59.19 ft².
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If 1 ounce is approximately 28 grams, convert 392 grams to ounces. Round to the nearest hundredth,
Step-by-step explanation:
1 ounce = 28grams
x grams = 392
x = 392/28
x = 14.oo ounces
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action.
Select all that apply.
I A. Action: Add 3 to both sides.
OB. Action: Multiply both sides by 3.
O C. Action: Divide both sides by 3.
D. Property: Addition property of equality
I E. Property: Multiplication property of equality
O F. Property: Division property of equality
Answer:
C , F
Step-by-step explanation:
you need to divide both sides by 3 in order to get x
3x = 12
x = 4.
the property is the division property of equality.
pls give brainliest
Find the area of a semicircle with diameter 9 cm
Answer:
31.8 cm^2
Step-by-step explanation:
Area of WHOLE circle = pi r^2
semicircle is 1/2 of this ( r = 1/2 of the diameter)
1/2 pi r^2
1/2 pi (9/2)^2 =
Doordash and Uber Eats motivate their drivers to take jobs by offering more money as more time passes. The following information shows how much each company offers depending on
how many minutes have passed after the customer's request.
DoorDash(table):
minutes: 0 ,5,10,15, 20, 25, (greater then or equal to sign) 30
money offered: $2.50 , $2.75 , $3.00, $5.00,$8.00, $12.00,$30.00
a) State the y-intercepts of each function and state what each one represents in this real-world context (Show your work)
b) State the maximum of each function and state what each one represents in this real-world context. (Show your work)
c) At what point do both companies pay the same amount? If you had to choose one company to work for, which one would you choose and why? (Show your work. Use evidence from above)
The functions of DoorDash and UberEats are linear functions and piecewise functions
The y-intercepts are $2.50 and $5, respectivelyThe maximum of the functions are $12.00 and $8.00, respectively.The point where the salaries are the same is (25, 12.00)The y-intercept of the functions?This is the point where the input value is 0 i.e. x = 0.
From the table, we have:
(x,y)= (0,2.50)
From the graph, we have:
(x,y)= (0,5)
Hence, the y-intercepts are $2.50 and $5, respectively
The maximum of the functionsThis is the point where the output value is at the highest
From the table, we have:
(x,y)= (25,12.00)
From the graph, we have:
(x,y)= (20,8.00)
Hence, the maximum of the functions are $12.00 and $8.00, respectively.
This also represents the maximum salaries of working in both companies
When the salary is the sameThis is the point where the values of both functions are equal
From the table and the graph, we have:
(x,y)= (25,12.00)
Hence, the point where the salaries are the same is (25, 12.00)
DoorDash has a higher maximum salary; so I would choose to work at DoorDash
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The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Use the value 3.14 for, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Question:
The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)
Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft
Not fully sure....
But it should be right...
Anyone know this or how to work this out
Answer:
140 degrees.
Step-by-step explanation:
All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]
Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:
[tex]\angle{RQS}=130^\circ[/tex]
[tex]\angle{TQS}=90^\circ[/tex]
We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:
[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]
Combine like terms:
[tex]230^\circ+\angle{RQT}=360[/tex]
Subtract [tex]230^\circ[/tex] from both sides:
[tex]\angle{RQT}=140^\circ[/tex].
Rose is 60 inches tall. how many feet tall is Rose
Answer:
5 feet
Step-by-step explanation: 60 divided by 12 inches is 5 feet
my brother wants answers and im too lazy lol but nigel has 2 dogs. one eats 2 1/2 pounds of food each week. the other eats 1 3/8 pounds each week. together how much do the dogs eat each week
Answer:
3 7/8 would be your answer
Find the distance between A(5, -2) B(3, -6)
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
Which expression is equivalent to 20c - 8d
Answer:
4(5c-2d)
Step-by-step explanation:
if you mean in factorization
Need done ASAP
If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?
Please show work