Answer:
Step-by-step explanation:
The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.
base of right triangle = 6 cm
height of right triangle = 8 cm
hypotenuse = √(6²+8²) = √100 = 10 cm
Select all expressions that are equivalent to 64^2/3
Answer:
16
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main campus has 60% of the university's students, the Downtown campus has 25%, and the Bay Area has the rest. At the Main campus, 12% of the students are statistics majors. At the Downtown campus, 4% of the students are statistics majors. Finally, at the Bay Area campus, 1% of the students are statistics majors.
Required:
a. What proportion of students at the university are statistics majors?
b. Of all statistics majors at the university, what proportion are at the Main campus?
Answer:
a) 0.0835 = 8.35% of students at the university are statistics majors
b) 0.8623 = 86.23% are at the Main campus
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for item b.
a. What proportion of students at the university are statistics majors?
12% of 60%(At the main campus).
4% of 25%(Downtown campus).
The rest is 100 - 60 + 25) = 15%.
1% of 15%(Bay Area Campus). Si
[tex]p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835[/tex]
0.0835 = 8.35% of students at the university are statistics majors.
b. Of all statistics majors at the university, what proportion are at the Main campus?
Using conditional probability to find the percentage.
Event A: Statistics majors, so [tex]P(A) = 0.0835[/tex]
Event B: Main Campus
Intersection of A and B:
12% of 60%. So
[tex]P(A \cap B) = 0.12*0.6 = 0.072[/tex]
Percentage:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623[/tex]
0.8623 = 86.23% are at the Main campus
Can you help me here pls thx very much What is 52% of 25
Answer:
13
Step-by-step explanation:
i) Coordinates of point P
a) (1,1) b) (1,2) c) (2,1) d) (1,0)
ii) Coordinates of point Q
a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)
iii) Coordinates of point T
a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)
iv) (Ordinate of T) – (Abscissa of R)
a) -4 b) 4 c) 0 d) -2
v) (Abscissa of Q) – (Ordinate of S)
a) -4 b) 4 c) 2 d) -2
Given:
Five points P, Q, R, S ,T on a coordinate plane.
To find:
The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).
Solution:
From the given graph it is clear that the coordinates of given points are
P = (1,1)
Q = (-3,0)
R = (-2,-3)
S = (2,1)
T = (4,-2)
(i)
Coordinates of point P are (1,1).
Therefore, the correct option is (a).
(ii)
Coordinates of point Q are (-3,0).
Therefore, the correct option is (b).
(iii)
Coordinates of point T are (4,-2).
Therefore, the correct option is (c).
(iv)
Ordinate is y-coordinate and abscissa is x-coordinate.
Ordinate of T = -2
Abscissa of R = -2
(Ordinate of T) – (Abscissa of R) = -2 - (-2)
= -2 + 2
= 0
Therefore, the correct option is (c).
(v)
Abscissa of Q = -3
Ordinate of S = 1
(Abscissa of Q) – (Ordinate of S) = -3 - 1
= -4
Therefore, the correct option is (a).
HELPP I WILL GIVE BRAINLEIST!! PLSSSSS PLSSSSSSS
Answer:
x = 3 && y = - 1
Step-by-step explanation:
Just solving the two equations
the first equation
y = 4/3 x +3
y - 4/3 x = 3 ..............................................(1)
the second equation
y = -2/3x -3
y + 2/3 x = -3 ..............................................(2)
by substracting 2 from 1
-4/3x - 2/3x = -6
divide by -1
4/3x +2/3x = 6
6/3x = 6
2x = 6
x= 3
then subsititute by value x in any of given eqautions
SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2
Answer:
36
Step-by-step explanation:
The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!
Fill in the missing number.
6 x 4 =(
x 4) + (3 x 4)
Answer:
6x4= 24
x4)+(3x4)=12
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The complete sentence is 6 x 4 =( 3 x 4) + (3 x 4)
What is 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 LHS = RHS is a common mathematical formula.
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:
6 x 4 =( x 4) + (3 x 4)
Now, split 6 as two equal quantities
6 = 3+ 3
So, 6 x 4 =24
( 3x 4) + (3 x 4)
= 12+ 12
= 24
Hence, LHS = RHS.
Learn more about equation here:
https://brainly.com/question/10413253
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A submarine travels at an elevation of -75 3/4 ft relative to sea level. Then its elevation changes by -16 3/8 ft. What is the new elevation of the submarine? Show your work
Answer:
The new navigation height of the submarine is -62.25 feet.
Step-by-step explanation:
Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:
3/4 ft = 0.75 ft
-75 x 0.75 = -56.25 ft
3/8 ft = 0.375 ft
-16 x 0.375 = -6 ft
-56.25 + -6 = -62.25
Thus, the new navigation height of the submarine is -62.25 feet.
find the sum:
4/100 + 6/10
Hello there, and welcome to Brainly!
In the following, you are adding the fractions together. Remember that, when adding or subtracting fractions, the denominator (bottom number in the fraction) must be the same. What you do to the denominator, you must do to the numerator as well.
Multiply 10 to both the numerator and denominator of the second fraction:
(6/10) * (10/10) = 60/100
Add across:
4/100 + 60/100 = 64/100
64/100 is your answer.
~
Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17
This is the equation
5(15+3)
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
The 5 would distribute into the 15+3 so that it would be (15x5)+(3x5)
And then you would get 75+15 which is 90
16
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A: 0
B: +11
C: -11
O A.
A and B
O B.
A and C
O C.
B and C
OD. Conly
Answer:
b and c
Step-by-step explanation:
Plz help me I’m stuck
Answer:
$10.50
Step-by-step explanation:
15% of 70 = $10.50
Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)
Answer: $10
Step-by-step explanation:
15%= 0.15
67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.
What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
30 POINTS PLUS BRAINLIEST PLEASE ANSWER THESE MATH QUESTIONS.ALL TROLL ANSWERS WILL BE REPORTED MUST HE DONE IN 1HR OR.LESS.
Answer:
4) wall = 114 ft^2
$118.56 to paint
5) 77 cm^2
Step-by-step explanation:
4) (15 x 8)-(2 x 3)=120-6=114 ft^2
114 x $1.04 = $118.56
5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2
Answer:
4:
114,$118.56
5. 77
Step-by-step explanation:
To find the area of the wall, you multiply 15 x 8, then subtract (2 x 3) from that answer.
15 x 8 = 120
120 - (3 x 2) =
120 - 6 = 114ft^2
To find the cost, multiply the area by the cost:
1.04 x 114 = $118.56
Since the side with 3.5 cm is congruent with another side, that means that side is also 3.5 cm. I like to break up the figure in this situation, into 2 rectangles. The first is 8 cm x 3.5 cm, and the other being 3.5 cm x 14 cm.
8 x 3.5 = 28 cm^2
14 x 3.5 = 49cm^2
Add together to get the area:
49 + 28 = 77 cm^2
guys i really need help I'm so lost
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.
=16-9-2
=5
That's it , Very easy
Solve the system of equations
negative x plus 2 y equals 2
minus x plus y equals negative 1
Answer:
Www
Step-by-step explanation:
Answer:
×2y aquel 2minus ×plus y equals negative1
5/7x1/2 please need help now
1 4/5 divided by 2 7/10
Answer:
2/3Step-by-step explanation:
In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.
So it would be 1 4/5 times the reciprocal of 2 7/10.
Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.
So 1 4/5 x 10/27 = 2/3
Answer:
2/3
Step-by-step explanation:
1 4/5 ÷ 2 7/10
Convert these into improper fractions
(Denomintaor × whole number + numerator)/denoninator
(5 × 1 + 4)/5
9/5
(10 × 2 + 7)/10
27/10
Now the equation says:
9/5 ÷ 27/10
Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction
9/5 × 10/27
Multiply the numerators and denominators separately
(9 × 10)/(5 × 27)
90/135
Simplify
Both 90 and 135 can evenly fit 15
90 ÷ 15 = 6
135 ÷ 15 = 9
6/9
This can still be simplified further
Both 6 and 9 can evenly fit 3
6 ÷ 3 = 2
9 ÷ 3 = 3
2/3
This cannot be simplified any further
Please help me one more time
Answer: 24
Yes (x-2) is a factor. There is a remainder.
Step-by-step explanation:
2³-8•2²+14•2-4
8-8•4+14•2-4
0•4+14•2-4
0+14•2-4
14•2-4
28-4
24
Hope this helps if so plz mark me brainly
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Answer:
mineeeeeeeeeeee
Step-by-step explanation:
If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis
Answer:
draw a right angle triangle
Step-by-step explanation:
Let one of the angles be A
cos A = sin (90-A)
90 - x - 20 = x
2x = 70
x = 35 degrees
The cost (C) for P pounds of apples can be represented by the equation c=4p. Graph the proportional relationship between the number of pounds of apples and the total cost.
HELP ASAP PLEASE
A mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk. The cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $130.80. Find the cost of a mooncake with two two egg yolks.
Plz do in algebraic method
Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bananas did she buy?
Which equation can be used to find p ?
A. .50p+2=4.10
B. .50p+2.25=4.10
C .50+2.25p=3.85
D. 2.75+.25p=4.10
Answer:
B. .50p+2.25=4.10
Step-by-step explanation:
The equation that need to determine the p is shown below:
Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25
Now the total amount paid by Carol is $4.10
So, the equations would be
0.50p + 2.25 = 4.10
Therefore the option b is correct
Determine m ASAP please help!!
Answer:
m=52
Step-by-step explanation:
ABC and FBE are congruent and we know that ABC is 52
90-38=52
so FBE is also 52
Hope this helps ^-^
Sunjai leaves a tip of $4 for his meal at the local burger place. His original meal cost him $18. What was his percent for the tip?
Answer:its 22% pls just give me brainliest so i can move up a ranking
Step-by-step explanation:
Answer:
22%
Step-by-step explanation:
Encontrar la media, mediana, moda y rango de los siguiente valores:
84,91, 72,68,87, 78,65,87,79.
Answer:
La mediana es 79 la moda es 87 la media 87 y él rango es 26
Step-by-step explanation:
Espero te ayude ;)
The mode, median and the range are 87, 79 and 26 respectively
Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.
The mode is the number that occurs the most from the given data. Since 87 occurs twice, hence the mode is 87The median is the number in the middle after arrangement. On arranging, we will have:
65, 68, 72, 78), 79, (84, 87, 87, 91
From the data, we can see that the median value is 79Range = Highest - lowest
Range = 91 - 65
Range = 26
Hence the range of the data is 26Learn more on measure of central tendency here: https://brainly.com/question/17726154
a) Dati cinci exemple de numere intregi mai mici ca zero.
Answer:
Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.
Step-by-step explanation:
Can someone please help me understand this and the answer
Answer:
x ≤ 2
Step-by-step explanation: