Answer:
-55/3
Step-by-step explanation:
-3/11 x1/5
-3/55
Multiplicative inverse means Reciprocal of -3/55 [That means the numerator goes to the denominator and the denominator to the numerator]
=> -55/3
A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent
Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :
[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]
= -4.189
Thus it is not profitable to play the game.
find the smallest number by which 252 must be multiplied to get a perfect square . also find the square root of the perfect square so obtained.
We shall proceed in hit and trial method
Find some nearest multiples of 252
252(2)=504252(3)=756252(4)=1008252(5)=1260252(6)=1512252(7)=1764Yes last one is square of 42
So smallest no is 7
Find z, the total impedance, of each circuit. Express your answer in standard form
Answer:
a. 7 Ω
b. 5 Ω
c. 4.472 Ω
Step-by-step explanation:
a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.
So, z = R + R' = 4 Ω + 3Ω = 7 Ω
b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)
z = √((4 Ω)² + (3 Ω)²)
z = √(16 Ω² + 9 Ω²)
z = √(25 Ω²)
z = 5 Ω
c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]
z = √((4 Ω)² + (3 Ω - 1 Ω)²)
z = √(16 Ω² + (2 Ω)²)
z = √(16 Ω² + 4 Ω²)
z = √(20 Ω²)
z = √(4 × 5) Ω
z = √4 × √5 Ω
z = 2√5 Ω
z = 4.472 Ω
Given JIH~ LMN. what is the value of LN?
Answer:
7 units
Step-by-step explanation:
In similar triangles, corresponding sides are same ratio.
[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]
Three fourths of the offspring of two fruit flies have short wings, while the rest have wild-type wings . In a batch of offspring from those two flies, 100 have wild-type wings. How many of the flies have short wings?
Answer:
300
Step-by-step explanation:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. This means that the number of offspring that have short wings must be [tex]\frac{3/4}{1/4}=\frac{3}{4}\cdot \frac{4}{1}=3[/tex] times larger than the number of offspring that have wild-type wings. Since there are 100 offspring who have wild-type wings, there must be [tex]100\cdot 3=\boxed{300}[/tex] that have short wings.
Alternative:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. Therefore, 100 represents one-fourth of the total number of offspring, meaning there must be [tex]100\cdot 4=400[/tex] offspring total. Thus, there are [tex]400-100=\boxed{300}[/tex] offspring with short wings.
Explain how to know when to use mean, median, or mode as a measure of
central tendency. For each measure, give an example of a situation where the
center should be used.
Answer:
Step-by-step explanation:
Mean
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2.
Mode
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
Add. State the sum in simplest form.
6/5x + 7/3y
Answer:
6x/5 + 7y/3
Step-by-step explanation:
Answer:
3.53xy
Step-by-step explanation:
I’m probably wrong but give it a try I think
I need answers asappppp plz
Answer:
Step-by-step explanation:
3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder
Answer:
Lateral surface area= circumference*height
120=12*h
h=10cm
Answer:
h=10 cm
Step-by-step explanation:
cicumference of a circle C=2πr=12
lateral surface area of cylinder=2πrh
120=12h
h=120/12=10 cm
Can someone help me with this math problem please?
Answer:
C
Step-by-step explanation:
g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.
f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.
The answer is c
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
1) (-2, 0)
2) (2 , 0)
3) (0, -4)
Write the y-intercept of the line
Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.
Hope this helps :)
Step-by-step explanation:
Help Please Math!!!
Find The Surface Area Of The Prism
Answer:
Surface Area=208 cm²
Step-by-step explanation:
Surface Area= 2×l×w+2×l×h+2×h×w
SA= 2×11×4+2×4×4+2×11×4=208
simplify the expression and choose the best choice
Answer:
D
Step-by-step explanation:
[tex]\sqrt{3^{15} }[/tex]
[tex]\sqrt{3*3*3*3*3*3*3*3*3*3*3*3*3*3*3}[/tex]
[tex]\sqrt{3^{14} * 3}[/tex]
[tex]\sqrt{((3^7)^2)*3}[/tex]
[tex]3^{7}[/tex][tex]\sqrt{3}[/tex]
find the difference between of the greatest and smallest 5 digit number
Answer:
Step-by-step explanation:
The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.
Hope this answer helps you :)
Have a great day
Mark brainliest
Someone plz help me and show the work 10 points!
Answer:
78°
Step-by-step explanation:
you have to add it up and then divide after multiply
How do u find the area of a kite using coordinates?
Answer:
What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
HELP! (25 points) i think i might know the answer
Answer:
[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.
Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting [tex]r=9,t=3[/tex] in the above formula, we get
[tex]I=\dfrac{P\times 9\times 3}{100}[/tex]
[tex]I=\dfrac{27P}{100}[/tex]
[tex]I=0.27P[/tex]
We know that,
[tex]\text{Amount}=\text{Principal + Interest}[/tex]
[tex]9144=P+0.27P[/tex]
[tex]9144=1.27P[/tex]
Divide both sides by 1.27, we get
[tex]\dfrac{9144}{1.27}=P[/tex]
[tex]7200=P[/tex]
Therefore, the principal value is Rs. 7200.
Find UT given the base?
Answer:
19
Step-by-step explanation:
[tex] In \:\triangle HGI[/tex]
HU = UG & HT = TI (Given)
Therefore, U and T are the midpoints of sides HG and HI respectively.
So, by mid point formula:
[tex] UT = \frac{1}{2} GI \\ \\ UT = \frac{1}{2} \times 38 \\ \\ UT = 19 [/tex]
A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?
Answer:
3/40 cup
Step-by-step explanation:
3 1/3 =10/3
10/3 to 1 is 1/4 to x
i then proceeded to use the butterfly method to find the answer
A truck was carrying 10 bags of sugar. Each bag weighed 50kg. Calculate the total mass of sugar on the truck. Write your answer in grams.
Answer:
1beg-------------50kg
10beg------------x
x=500kg to grames 500×1000=500000grams
Answer:
500000g
Step-by-step explanation:
first of you multiply the 50kg with the 10 bags
which gives 500kg
then you convert 500kg to grams
which is 500kg/1×1000g/1kg
when you cancel out the kg what is left is to multiply both sides and then you get 50000g.
Instructions: Find the missing side. Round your answer to the nearest tenth.
53 and 10
Answer:
8
Step-by-step explanation:
10sin(53) = 7.986... = 8.0
La sombra que proyecta un edificio es de 16 m si el coseno del ángulo que se forma entre la punta de la sombra y el techo del edificio es 16/20 cual es la altura del edificio
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
If Sunil earns $3672 per month, what is his annual salary?
Answer:
$44064
Step-by-step explanation:
Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.
3672 * 12 = $44064
Help me pls‼️‼️‼️❤️❤️
Answer:
= 50%
Step-by-step explanation:
There is one point, random number = 1
There are two circles, sample space = 2
[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]
Answer:
25%
Step-by-step explanation:
1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex] [tex]A = \pi 1^{2} = \pi[/tex]
2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage
3. 0.25 = 25%
Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.
Answer:
The midpoint of the data when it is arranged in order.
Step-by-step explanation:
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the median of the following set of numbers is 5
1, 2, 5, 10, 20
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11
Solve for b.
- 3b-5> - 8 or b - 4 < 0
Answer:
b<4
Step-by-step explanation:
- 3b-5> - 8 or b - 4 < 0
Solve the first inequality
- 3b-5> - 8
Add 5 to each side
- 3b-5+5> - 8 +5
-3b> -3
Divide by 3, flipping the inequality
-3b/-3 < -3/-3
b <1
Then solve the second inequality
b-4<0
Add 4 to each side
b<4
Put them back together
b<1 or <4
Merge them since they overlap
b<4
find the coordinates of the points which divide the join X(-1,7) and Y(4,-3) in the ratio of 7:2.
Answer:
(26/9 , -7/9)
Step-by-step explanation:
Here,
let the points be
X(-1,7) = (x1, y1)
Y(4,-3) = (x2,y2)
and let the ratio be...
m:n = 7:2
and.. let the point that divides the line be
P(x,y)
now using the section formula for internal division..
P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )
= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )
= ( 26/9 , -7/9 )