The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
What is theoretical probability?Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.
Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.
Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.
The total number of names are 5.The total number of names chosen are 4.The total number of ways 4 names can be taken out from 5 names is,
[tex]^5C_4[/tex].
Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.
Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is
[tex]^4C_3[/tex].
The theoretical probability that Chandra will be chosen as one of the science fair participants is,
[tex]P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%[/tex]
Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
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A softball has a volume of about 29 cubic inches. Find the radius of the softball. Round your answer to the nearest tenth
AB is tangent to circle O at A. Find the length of radius r to the nearest tenth. A to B is 11. B to O is 8.
Please answer ASAP will mark as brainlist
Answer: 3.6
Step-by-step explanation:
Solve each equation.
a.8x=2/3
b.1 1/2=2x
c.5x=2/7
d.1/4x=5
e.1/5=2/3x
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
x is 3 values that sum to at least 23
Step-by-step explanation:
[tex]\frac{8+7+5+9+10+7+6+x}{10}=\frac{52+x}{10}[/tex][tex]\frac{52+x}{10}=7.5[/tex][tex]52+x=7.5\times 10=75[/tex][tex]x=75-52=23[/tex]I WILL GIVE BRAINLIEST!!!!!
Answer:
See below
Step-by-step explanation:
Inscribed angles encompass twice as many degrees of arc as their angle measure
soo 2* { 6x-5 + x+17 } = 360
shows x = 24 then ROP = x+17 = 41 degrees
Determine if the situation represents a proportional relationship. Explain your reasoning.
Aaron Rodgers can throw a football 44 yards in 2 seconds. Patrick Mahomes can throw
a football 84 yards in 3 seconds. Show your work.
Answer:
Step-by-step explanation:
44/2 is 22
84/3 is 28
Patrick Mahomes can throw more yards/sec
Below are the marks obtained by 7 students out of 40 questions on a maths test.
11, 27, 10, 27, 14, 33, 11
Find the mean absolute deviation.
(If the answer is a decimal, round it to the nearest tenth.)
Answer: according to my calculator, the answer is 8.5714285714286 i hope this is correct lol,
Step-by-step explanation: Hope this helps ^_^
The TV chef didn't know the first thing about cooking. He was just hired for his wavy blonde hair and charming British accent. So last Tuesday, while the gullible audience thought the chef was mixing up a world-renowned hollandaise sauce, he was actually just mixing a 5 ounce sauce containing 50% tangy mustard with another sauce containing 75% tangy mustard to get a sauce containing 70% tangy mustard. How many ounces of the 75% tangy mustard sauce must the chef have used?
The number or amount of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .
Number of ouncesFirst step
Since 5 ounce sauce containing 50% tangy
Hence:
5 oz×.50 tangy
=2.50 oz-tangy
Second step
(5+x)×0.7=3.5+0.7x
Third step
2.50+0.75x=3.5+0.7x
Collect like term
0.75x-0.7x=3.5-2.50
0.05x=1
Divide both side by 0.05
x=1/0.05
x=20 ounces
Therefore the number of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .
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dibujar esta parabola y= 3x^2
What is the slope of the line that passes through the points (-10,9) and (-10,18)?
Write your answer in simplest form.
Answer:
slope = (y₂ - y₁) / (x₂ - x₁)
18-9/-10-10
=9/0
The slope is undefined and it is a vertical line.
Step-by-step explanation:
OR
since x₂ , x₁ are the same value -10 the slope is undefined.
Which inequality represents the graph?
z≤-10 z≥-10
z-10 z<-10
K
+
-25-20 -15-10 -5
0
0
5
O
Answer: [tex]z \ge -10[/tex]
Reason: The graph shows all values that are z = -10 or larger.
The closed endpoint at -10 indicates we include it with an "or equal to".
If it was an open hole endpoint, then we'd say z > -10 instead.
Round your answers to 2 decimal places
use 3. 14 for
Answer:
3
Step-by-step explanation:
0.1 rounds to 0 and 0.04 also rounds to zero. Therefore, the answer is 3.
What is the following product? startroot 30 endroot times startroot 10 endroot
Answer:
Hello there! 10 square of 3
Some of Mr. Edward's students want to buy him a gift. If each of
them pays $2, they will be short of $4 for the gift. If each of them
pays $3, there will be an extra $3. How much does the gift cost?
Answer:
It depends on how many students there are in Mr. Edwards class
Step-by-step explanation:
The area of the triangle 5yd 16yd 12yd
The formula for the area of the triangle is A = 1/2bh (1/2•base•height).
Identify your base and height and substitute them into the formula. Since you did not include an image or info in which states the base and height, this is what I can say.
If the base and height are 5 and 12, the area would be 30 yds. (1/2 x 5 x 12)
If the base and height are 5 and 16, the area would be 40 yds. (1/2 x 5 x 16)
If the base and height are 12 and 16, the area would be 96 yds. (1/2 x 12 x 16)
Record: 0/2 Score: 0 Penalty: 1 off
Complete: 79
Emily Trelow
Transforming Formulas
The formula to calculate the gravitational force between two objects is F₁ = GM₁M₂,
where M₁ and M₂ are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M₁ in terms of F, G, M₂ and r.
Answer: M₁ =
Submit Answer
Newton's Law of Gravitation:
Statement: According to this law, when two mass bodies are separated at finite distance then there must be an attractive force experience by them which is directly proportional to the product of their masses and inversely proportional to the square of their separation.
Consider two mass bodies m1 & m2 be kept at distance d. Then the force of attraction F is given as
[tex]Fam_{1}.m_{2}[/tex]
[tex]Fa1/d^2[/tex]
Now, from above equations, we have
[tex]Fa\frac{m_{1}m_{2}}{d^2}[/tex]
or, [tex]F=G\frac{m_{1}m_{2}}{d^2}[/tex]
Here [tex]G=6.67*10^{-11}Mm^2kg^{-2}[/tex] is the universal gravitational constant.
A 5 metre long ladder is placed against a wall. It reaches
4.3 metres up the wall. What is the angle between the
ladder and the ground?
IS
5m long ladder placed against 4.3m up the wall.
to find:the angle between the ladder and the ground.
solution:Based on the given conditions, formulate:
sinx=4.3÷5
Evaluate the equation/expression:
x= 1.03527 or 2.10632
x= 1.03527°
or x= 2.10632°
Jim picks a five digit odd number. The second digit is less than 5. The fourth digit is a cube number. The first digit is a prime number. How many different numbers could he pick?
Answer:
3,000 numbers.
Step-by-step explanation:
First digit: 2, 3, 5, or 7 (primes)
Second digit: 0, 1, 2, 3, or 4 (less than 5)
Third digit: 0-9
Fourth digit: 0, 1, or 8 (cubic numbers)
Fifth digit: 1, 3, 5, 7, or 9 (odd numbers)
So we have 4 * 5 * 10 * 3 * 5 = 3,000 possible numbers.
Frank wants to find the area enclosed by the figure at the right. The figure has semicircular on each side of a 40-meter by 40 meter square. Find area enclosed by the figure. 3. 14
PLS HALP!
Bisect line segment AB.
Steps.
1. Center your compass at A so that it measures more than half way to B. Draw arcs above and below segment AB.
2. Using the same compass measurement as step 1, center your compass at B. Draw two arcs above and below segment AB so that they intersect the arcs from step 1. Name these intersection points C and D.
3. Draw line CD.
4. Name the intersection of line segment AB and line segment CD, point M.
5. CD is a segment bisector of segment AB.
Answer:
Shown in the photo
Step-by-step explanation:
I just followed the steps. If you need more help let me know :)
You are trying to help Rhonda understand the concept of a 5% slack in the line. You explain that having a 5% slack means that the length is 5% longer than it would be if it were completely straight. You compare ️ABC to Figure DEF, where curve DE is 5% longer than line segment AB.
Enter curve DE, given the curve is 5% longer than line segment АВ.
The length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC. The measure of the curve DE is 10.5 units
Pythagoras theoremThe theorem states that the length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC.
According to the theorem;
AB^2 = AC^2 + BC^2
AB^2 = 6^2 + 8^2
AB^2 = 36 + 64
AB = 10
If the curve DE is 5% longer than line segment АВ, the measure of curve DE is given as;
DE = 1.05 * 10
DE = 10.5
Hence the measure of the curve DE is 10.5 units
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Twice a number is 500 more than six times the number. What is the number?
Answer:
-125
Step-by-step explanation:
Twice a number is x*2
x*2 = 500 + x*6
=> x = -125
does anyone know the answers to these blank questions?
if so pls type it in! thank you!!
( pic question uploaded )
Answer:
h = 21
n = 60
p = 7
Math extra credit can somebody help?
help plsssssssssssssss
Explanation:
The arc markings for each angle show that we have two pairs of congruent angles (angle O = angle Q, angle M = angle R). This takes care of the two "A"s in "ASA". The tickmarks show us that the sides MO and RQ are the same length, so this takes care of the "S" of "ASA". Note the congruent sides are between the angles mentioned. The order is important.
How many 1/2 are in 1 whole
1/2 is equal to 0.5. If we multiply this amount by 2, then we get 1. There are 2 halves in a whole.
Answer:
There are 2 halves in a whole. If you split 1 in 2 you get 0.5, or 1/2.
The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the ________.
The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the statistical significance
I need help asap pls
Answer:
Circumference = 25.14 cm
Area = 50.28 cm²
Step-by-step explanation:
∴ Circumference = 2πr
⇒C = (2) (22/7) (4)
⇒C = 25.14 cm
∴ Area = πr²
⇒A = (22/7) (4)²
⇒A = 50.28 cm²
Hope that helps...
Factorise 4x^2-y^2 please help
Answer:
(2x + y)(2x - y)
Step-by-step explanation:
1. Simplify the square 4x²:
(2x)² - y²
2. Apple the difference of two squares formula x² - y² = (x + y)(x - y):
(2x + y)(2x - y)
hope this helps!
The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?
Answer:
x = 5
or
x = 3
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8
If the equation x²−8x−5=0 can be transformed into the equation (x−p)²=q, then value of q is 21
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To transform the equation x² - 8x - 5 = 0 into the equation (x - p)² = q, we need to complete the square by adding and subtracting a constant term.
First, let's add 5 to both sides to get:
x² - 8x = 5
Applying complete square method
we need to add and subtract 16 inside the parentheses on the left-hand side:
x² - 8x + 16 - 16 = 5
Simplifying the left-hand side gives us:
(x - 4)² - 16 = 5
Adding 16 to both sides gives us:
(x - 4)² = 21
Therefore, the value of q is 21.
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