Step-by-step explanation:
Hint : we will check for each option whether it is an experiment or not by using the concepts of probability first we will check then if a coin is tossed then it is an experiment or not ? then we will check that if a dice is rolled is it an experiment or not and then we will repeat the same process for choosing a marble from a jar
complete step by step answer and event is a set of outcomes of an experiment to which probability is assigned as take an example when we and I the possibility of 5 appearing on the die is an event if for tossing a coin we do not know the result when a coin is tossed in can give any result whether it will be a head or tails so this is an example for a random experiment if a six-sided dice will be rolled then we do not know what is about to come there result can be anything from 126 so it is also an example for random experiment choosing a marble from a jar is also an experiment because we are choosing one marble from the jar and experiment is a work in which a result can be anything hence option d is the correct option not probability is how likely something is about to happen when a coin is tossed there are two possibility outcomes heads or tails show the probability of an outcome 1
( number of ways it can happen )÷
( total number of outcomes)
so when a coin is tossed the total number of outcomes are to solve the probability of a current head is 1/2
The graph shown below represents the rate at which water drains from a tank once the drain is opened which statement correctly describes the graph
A. The water is draining at constant rate of 1/2 gallon per minute, and the tank contained exactly 14 gallons when the drain opened
B. The water is draining at a constant rate of 2 gallons per minute,and the tank contained exactly 14 gallons when the drain was opened
C. The water is draining at a constant rate of 5 gallons per minute, and the tank contained exactly 14 gallons when the drain was opened
D.the water is draining at a constant rate of 14 gallons per minute, and the tank contained exactly 1/2 gallon when the drain was opened
Answer:
A
Step-by-step explanation:
The slope is -1/2 and the y-intercept is 14
Ridas father is 4 times old as rida. After 5 years father will be three times as old as rida.Find their present ages
Answer:
Rida is 10 years old and her father is 40 years old.
Step-by-step explanation:
Given:
Present age
Present age of Rida = x
Present age of Rida's father = 4x
Age after 5 years
Age of Radi after 5 years = x + 5
Age of Radi's father after 5 years = 3(x + 5)
What To Find:
The present age of Rida and Rida's father.
Solution:
According to the statement the equation will be,
⇒ 4x + 5 = 3(x + 5)
Remove and solve the brackets,
⇒ 4x + 5 = 3x + 15
Take numbers to RHS and variable to LHS,
⇒ 4x - 3x = 15 - 5
Subtract 3x from 4x and 5 from 15,
⇒ x = 10
Now substitute the values of Rida's age and Rida's father's age,
Rida's age = x = 10 years
Rida's father's age = 4x = 4(10) = 40 years
Mr. Catone noticed that many of the students in his classes had been born in
another country. He randomly chose 16 students and found that 7 of them
had been born in another country. If Mr. Catone's sample is representative,
which of the following is closest to the number of his 144 students who were
born in another country?
o
A. 54
Option A
B. 63
O
C. 72
D. 112
O
Item #3050
Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and the total amount paid for all the mangoes is 280. Represent the situation mathematically and find the total number of mangoes bought by Kumar.
Answer:
Price = 20, Amount = 14
Step-by-step explanation:
A = Amount of Mangoes
P = Price for 1 Mango
P = A + 6
280 = P * A
insert A+6 for P
280 = (A+6) * A
280 = 6A + A²
280=1*a^2+6*a | Vertausche beide Seiten der Gleichung.
1*a^2+6*a=280 | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2
1*a^2+6*a+(3)^2=3^2+280 | Rechne 3 hoch 2 aus.
1*a^2+6*a+(3)^2=9+280 | addiere 9 und 280
1*a^2+6*a+(3)^2=9+280 | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.
1*(1*a+(3))^2=289 | Auf beiden Seiten Quadratwurzel ziehen.
1*a+(3)=+-*289^0.5
1*a_1+(3)=289^0.5
1*a_1+3=289^0.5 | Ziehe die Wurzel aus 289
1*a_1+3=17 | -3
1*a_1=14
The total number of mangoes bought by Kumar are 14.
What is mathematical equation?"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."
We have,
Total amount for mangoes(P) = 280
Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6
By using mathematical equation from the question
P×A = 280.....(1)
Substitute P = A+6 in equation (1)
⇒ (A+6) × A = 280
⇒[tex]A^{2}+6A =280[/tex]
Add [tex]3^{2}[/tex] on both sides of above equation
⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]
⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex] (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])
⇒[tex](A+3)^{2} =289[/tex]
⇒[tex]A+3 = \sqrt{289}[/tex]
⇒[tex]A=17-3[/tex]
⇒[tex]A=14[/tex]
Hence, The total number of mangoes bought by Kumar are 14.
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A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old?
for a family with 6 children what is the probability that they have exactly one boy and 5 girls
Answer:
Ok so the probability would be 16%(can be round to)
Step-by-step explanation:
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?
HELPPPPP PLEASE !!!!!
Answer:
4th option 0,5,10,15
Step-by-step explanation:
Let's check if the first choice is geometric.
2*3 = 6. is 6*3 = 18, yes! is 18*3 = 54. Yep! its geometric
the second option multiplies by -2, it is geometric
the third option multiplies by 1/5, it is geometric
The fourth option does not multiply by anything common, it is Not geometric
Answer:
0,5,10,15 is not the sequence of geometric.
Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.
Step-by-step explanation:
This is totally correct!
help me with this mathematics
Answer: B
Step-by-step explanation: 65/100 = 65%
Help someone plsss!!!!!!!!!!
Answer:
150 degrees.
Step-by-step explanation:
We know, 1 Hour angles = 15 Degrees
So, 10 hour walking = 10*15 = 150 degrees
Hope this will help. Please mark me brainliest.
which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D
hola quien habla español bueno ya no Adios :)
Answer:
C.(B and D
Step-by-step explanation:
pls telll/pls tell pls tell pls tell
Answer: 2
Step-by-step explanation:
Given
The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]
According to the remainder theroem
[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]
Put [tex]x=1[/tex] in the polynomial to get the remainder
[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]
So, we get the remainder 2.
A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660
I need these 4 I really don't understand this
Answer:
6:
[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]
7:
[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]
A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Answer:[tex]18+1.5c[/tex]
Step-by-step explanation:
Given
A large cheese pizza costs $18
Each topping add on costs $1.50
for c toppings added, the prize becomes
[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]
evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5
Answer:
17
Step-by-step explanation:
Given
4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression
= 4(0.25 + 5) - 8(0.5)
= 4(5.25) - 4
= 21 - 4
= 17
I will mark you brainliest if you answer this
show your working
8)(7x3 + 3x2+ 4x + 10) – (10 + 8x + 3x3)
9)(5x4– 4x3– 3x – 4) – (2x – 6x3– 2x4)
10) (7x3– 9x2– 7x – 8) – (8 – 4x2– 6x3)
11) 4(a + 5) – 5(a2– 4a + 7)
12) 8(y + 6) – 6(y2– 6y + 4)
13) 3(c – 4) – 5(c2+ 4c – 8)
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]
8.
[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]
9.
[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]
10.
[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]
11.
[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]
12.
[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]
13.
[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
What is The answer , what goes in the QR
may be QR also equal to 34
Circle P below, PC = 4 feet and m CD = 80°. Determine, to the nearest tenth, the area of the blue sector enclosed by
Answer:
11.2square feet
Step-by-step explanation:
Area of a sector = theta/360 * πr²
theta is the central angle = 80degrees
radius r = PC = 4ft
Substitute
Area of the sector = 80/360 * 3.14 * 4²
Area of the sector = 80/360 * 3.14 * 16
Area of the sector = 4,019.2/360
Area of the sector = 11.2ft²
Hence tthe area of the blue sector is 11.2square feet
help please hurryyyy!!! help pls hurry
Answer:
3 is 18
4 is 14
5 is 10
6 is 6
I hope this helps
Ranking brainliest if correct
Answer:
Hello! answer: 18
Step-by-step explanation:
AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!
Please someone help i'm struggling with this work!
Answer:
5es7tc6fz8s5exf UFO zd5d 3azyfxf6f,a3
Step-by-step explanation:
It is abe
helpppppppppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
The left side represent the tens place of the number, and the right side represent the one sides of the number. So the numbers are
12,12,13,14,18,19,19, 20,23,26,27,31,31,31,32,34,41,44,45,48.
a. There are 20 terms so this equation 20/2=10 means the 10th term will be the median. make sure to also include the number 11th term becuase the number of terms is even. The 10th and 11th term are 26,27 so the median is the midpoint.
[tex] \frac{26 + 27}{2} = 26.5[/tex]
The median is 26.5
b. The range is maximum value minus minimum value.
[tex]48 - 12 = 36[/tex]
c. The mode is the number that appear the most
That number is 31.
d. 20 students took apart of this survey.
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 135°
Step-by-step explanation:
4 sides and the diagonal are the same.
Therefore, it is square with each interior angle = 90°
The diagonal bisects the interior angle to 45° , 45°
x + 45° = 180° [ straight line angle ]
x = 180 - 45 = 135°
A table tennis ball has a radius of 2 cm. There are 3 table tennis balls stacked on top of one another in a cylinder that has the same diameter as the table tennis balls. The table tennis balls reach the top and bottom of the cylinder. How much volume is left inside the cylinder when the container is full?
Answer:
Volume left = 16π cm³ or 50.265 cm³
Step-by-step explanation:
Let's first find the surface area of the tennis ball.
S.A = (4/3)πr³
Radius of a ball = 2 cm
Thus;
S.A = (4/3)π(2)³
S.A = 32π/3
Since there are 3 radius balls that will make the cylinder full, then;
Surface area of 3 balls = 3 × 32π/3 = 32π
Now, formula for volume of cylinder is;
V = πr²h
r = 2 cm
h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)
Thus;
V = π × 2² × 12
V = 48π
Thus;
Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³
Please help me with this!!!!! I don't get it
Answer:
y = -1/7
Step-by-step explanation:
Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;
d = √(x2-x1)^2 + (y2-y1)^2
for the first two points;
(5,y) and (1,4) ; we have
d = √(5-1)^2 + (y-4)^2
d = √(y-4)^2 + 16
For the other two;
(5,y) and (10,-3)
We have ;
d = √(5-10)^2 + (y + 3)^2
d = √(y+ 3)^2 + 25
from the question, these two distances are equal
all we have to do here is to equate the two distances
So we have it that;
(y-4)^2 + 16 = (y + 3)^2 + 25
y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25
-8y + 32 = 6y + 34
-8y -6y = 34-32
-14y = 2
y = -2/14
y = -1/7
12. The local regional transit authority of a large city was interested in determining the mean
commuting time for workers who drive to work. They selected a random sample of 125
workers who drive to work and asked them how long they spent commuting to work in
minutes). A 95% confidence interval was constructed and reported as (27.74, 30.06).
(a) Show that the conditions for calculating a confidence interval for a mean are satisfied.
(b) Interpret the interval in the context of this problem.
1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.
2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.
Do the conditions for a mean confidence interval calculation hold?Let x be the sample mean
Let s be the sample standard deviation
Let n be the sample size
Let α be the significance level
Let Z be the standard normal distribution value.
To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:
1. Random sampling:
The sample of 125 workers was selected randomly.
2. Independence:
We assume that each worker's commuting time is independent of each other.
3. Sample size:
n = 125 > 30. This satisfies the condition for the central limit theorem to apply.
4. Normality:
The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).
Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.
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9.2\times 10^{-3}-1.3\times 10^{-3}
9.2×10
−3
−1.3×10
−3
Answer:
73
Step-by-step explanation:
9.2 x 10 - 3 - 1.3 x 10 - 3
92 -3 - 13- 3
73 is the answer if that the question
Answer:
[tex](9.2 \times {10}^{ - 3}) - (1.3 \times {10}^{ - 3} ) \\ \\ = { \tt{(9.2 - 1.3) \times {10}^{ - 3} }} \\ \\ = { \tt{7.9 \times {10}^{ - 3} }}[/tex]
Math help please urgent
Answer:
THREE AND SIX OR FOUR AND FIVE
Step-by-step explanation:
They're just opposite ends !
Step-by-step explanation:
Alternate Interior Angles: 3 and 6
Alternate Exterior Angles: 2 and 7
Calculate the measure of angle P:
Answer:
122.3 degrees
Step-by-step explanation:
To get the measure, we use the appropriate method
The method we are going to use here is the cosine rule
We have the general form as;
a^2 = b^2 + c^2 -2bc Cos A
where a = 25
b = 9 and c = 19
Substituting these values;
25^2 = 9^2 + 19^2 - 2(9)(19) Cos A
183 = -342 cos A
cos A = -183/342
cos A = -0.54
A = arc cos -0.54
A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65
= 122.35