A basketball has a diameter of 9. 5 cm. Which of the expressions shows how to determine the volume of air the basketball can hold?.
Answers
The expressions that shows how the volume of air the basketball can hold is \(\frac{4}{3}\)π4.75³cm³.
A basketball has the shape of a sphere. A sphere is a 3 dimensional object that has all points lying the same distance from the centre.
In order to determine how much air the basketball can hold, the volume of the basketball has to be determined.
The volume of a sphere = \(\frac{4}{3}\)πr³
Where:
π = 22/7
r = radius = diameter / 2 = 9.5 / 2 = 4.75 cm
Volume = \(\frac{4}{3}\)π4.75³cm³
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Related Questions
the sum of a number and -43 is 102.what is the number
Answers
Answer: 145
Step-by-step explanation:
Answer: 145
Step by step explanation:
No Solutions
2x + 9 + 3x + x =
One Solution
2x + 9 + 3x + x =
x +
Infinitely Many Solutions
2x + 9 + 3x + x =
Answers
Answer:
.
Step-by-step explanation:
a certain virus infects one in every 600 people. a test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. (a) find the probability that a person has the virus given that they have tested positive. $.0148026316$correct (b) find the probability that a person does not have the virus given that they have tested negative.
Answers
P(A) = 1/600 = 0.0017
P(B) = 0.9 * 0.0017 + 0.1 * (1 - 0.0017) = 0.1014
A) P (has the virus | tested positive) = P (tested positive | has the virus) ×
P (has the virus)/ P (tested positive)
= 0.9 × 0.0017/0.1014
= 0.0151
B) P (does not have the virus | tested negative) = P (tested negative | does not have the virus) × P (does not have the virus)/ P (tested negative)
= (1 - 0.1) *× (1 - 0.0017)/ (1 - 0.1014)
= 0.9999
Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.
A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).
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Write 41. 287 to 1 decimal place
Answers
Question 2Which of the following is the solution to the differential equation dP/dt +P=10 with the initial condition P(0) = 4
Answers
On the left I make the integral with respect to P and on the right the integral with respect to t
\(-(\ln (10-P))=t+c\)\(\begin{gathered} \ln (10-P)=-t+c \\ \end{gathered}\)we use e to simplify Steps to constant
\(\begin{gathered} e^{\ln (10-P)}=e^{(-t+c)} \\ 10-P=e^{-t+c} \\ 10-P=e^{-t}\times e^c \\ 10-P=e^{-t}\times c \\ 10-P=ce^{-t} \end{gathered}\)now, solve P
\(P=-ce^{-t}+10\)to find c we use P(0)=4, so when we replcae t=0 the soltuion must be 4
\(\begin{gathered} 4=-ce^{-0}+10 \\ 4=-c+10 \\ c=10-4 \\ c=6 \end{gathered}\)the complete function is
\(P=-6e^{-t}+10\)or
\(P=10-6e^{-t}\)so, the right option is C
Please help please ! No fake answers pls
Answers
Answer:
Transitive property of congruence
Step-by-step explanation:
If two shapes are congruent to the third shape, then all the shapes are congruent to each other.
I hope my answer helps you.
Answer:
Transitive property of congruence
Step-by-step explanation:
The transitive property of congruence states that two objects that are congruent to a third object are also congruent to each other.
(L5) Given: ΔABC with AC>AB;BD¯ is drawn so that AD¯≅AB¯Prove: m∠ABC>m∠C
Answers
Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.
To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.
Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.
Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.
Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.
Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.
In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.
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What is infinite algebra 1?
Answers
Infinite Algebra 1 is a software program developed by the company Kuta Software that provides an online resource for teaching and learning algebra 1.
It offers a comprehensive collection of algebra 1 problems and exercises that cover a wide range of topics such as linear equations, systems of equations, inequalities, polynomials, factoring, and graphing.
The program includes features such as an interactive equation editor, step-by-step solutions, and the ability to generate customized worksheets and assessments.
It is designed to provide students with a self-paced and adaptive learning experience that allows them to practice and reinforce their understanding of algebraic concepts. Infinite Algebra 1 is widely used in schools and educational institutions as a tool for teaching and practicing algebra 1.
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if the census did another survey, kept the error bound the same, and surveyed only 50 people instead of 200, what would happen to the level of confidence? why?
Answers
If the census did another survey, kept the error bound the same, and surveyed only 50 people instead of 200, the level of confidence would decrease.
This is because the level of confidence is directly proportional to the sample size in statistical analysis. The larger the sample size, the higher the level of confidence, and vice versa. When the sample size is smaller, there is less data to analyze, and the results may not be as reliable.
The level of confidence in statistical analysis refers to the probability that the results obtained from a sample are representative of the entire population. For example, if the level of confidence is 95%, this means that if the same survey were conducted 100 times,
95 of those surveys would produce results within the specified margin of error. Therefore, when the sample size is smaller, there is a higher chance that the results obtained from the survey are not representative of the entire population.
This is why increasing the sample size is often recommended in statistical analysis to improve the accuracy and reliability of the results obtained.
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1.A 15-passenger van is rented for a family
vacation. The van rental is $60.00 per day, plus a
$145.00 insurance fee. How many days can the
van be rented if they want to spend no more than
$625.00 on the van rental? Write and solve an
inequality.
2. Marco is limited to 7 hours of screen time
each week. He decides to watch a movie that is 1
hour and 20 minutes on Sunday. If he divides the
remainder of the time equally amongst the other
six days, then how many minutes can he watch
each day? Write and solve an inequality.
I need the inequality and solution please
Answers
Answer:
they can rent it for 9 days
maths help me maths giving 10 point
Answers
Help is much needed pls. I can only put 15 points.
Answers
Answer:
9.2
Step-by-step explanation:
first i added 5 + 3 = 8
then i did 1 1/5 + 8=9 1/5
What is 185/100+50%+4%
Answers
Answer:
Step-by-step explanation:
2.81500is the answer
Lol
Answer:2.81500
Step-by-step explanation: Hope this helps ya!
which of the following is equivalent to sqrt -50
Answers
Answer:
5i sqrt -50
Step-by-step explanation:
the answer would be B
The required equivalent expression to \(\sqrt{-50}\) is 5i√2.
Given that,
An equivalent expression to \(\sqrt{-50}\) is to be determined.
The number that constitutes real and imaginary numbers are called complex numbers.
What is simplification?The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.
Here,
Simplifcation ⇒
= \(\sqrt{-50}\)
\(=\sqrt{-5 * 5 *2}\\=5\sqrt{-2}\\=5\sqrt{-1} \sqrt{2}\\\)
( Since √-1 = i )
= 5i√2
Thus, the required equivalent expression to \(\sqrt{-50}\) is 5i√2.
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The amount of money and dollars that it cost to purchase x square feet of the carpet is given by f(x)= 8x the insulation feet is $125 more than 8% of the cost of the carpet right function of g that represents the insulation fee then use the function to find the insulation fee for 175 square feet of carpet
Answers
Answer:
The insulation fee for 175 square feet of carpet is $237.
Step-by-step explanation:
The amount of money, f(x), that it cost to purchase x square feet of the carpet is:
f(x)= 8x
The insulation fee,g(x), is $125 more than 8% of the cost of the carpet,f(x), we have
g(x)=8% of f(x)+125
\(\Rightarrow=\frac{8}{100}\times (8x)+125\)
\(\Rightarrow=0.64x+125\)
The insulation fee for 175 square feet of carpet,
i.e for x=175
\(g(x=175)=0.64\times175+125=237\)
Hence, the insulation fee for 175 square feet of carpet is $237.
learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called ___ learning.
Answers
Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning
What is adaptive learning?Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.
By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.
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Detirme the value of x
Answers
The total value of a triangle's angles is 180*
so x=180-y-z
x=180-76-41
x=63*
hope it helps
Find X. Round to the nearest tenth please help!
Answers
Answer:83.0°
Step-by-step explanation:
Given ∆XYZ, with 3 known sides, to find angle X, apply the Law of Cosines, c² = a² + b² - 2ab*cos(C).
For convenience sake, this formula can be rewritten to make the angle we are looking for the subject of the formula.
Thus, we would have this following:
Where,
C = X = ?
a = 8 ft
b = 16 ft
c = 17 ft
Find the 81st term of the arithmetic sequence 8,7,6
Answers
Refer to picture
PLEASE HELP ME THIS IS DUE In 30 MINUTES !!!
Answers
Answer:
This is the answer I got.
Answer:
B is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Line segment SU is a diameter of circle V.
What is the measure of arc ST?
a. 56°
b. 68°
c. 112°
d. 163°
Answers
Answer:
c
Step-by-step explanation:
because this is very easy and i got it right on the test got it right on edge
Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how
many did she miss?
Answers
What is the domain of the function on the graph?
LO
4+
3+
2-
1 +
Nw
O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
all real numbers greater than or equal to -3
-5 4 3 2 1
1 2 3 4 5 X
-2
-3
4-
-5-
Answers
Answer:
Its D
Step-by-step explanation:
Work out m and c for the line: y = 2 x − 1
Answers
Answer:
c (intercept) = -1 m (gradient) = 2
Step-by-step explanation:
The intercept is where the line crosses x, and the value is the value of y.
The gradient is how far it has covered and if you were to draw a graph it would be 2.
Slope (m) is 2 and y - intercept (c) is -1
What is slope and y - intercept?
"The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers."
Given equation
y = 2x - 1
The given equation of a line in slope - intercept form is
y = mx + c
Where m is slope and c is the y - intercept
y = 2x - 1 is in slope - intercept form
By comparing the two equations
Slope m = 2 and y - intercept c = -1
Hence, Slope (m) is 2 and y - intercept (c) is -1
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Compute each of the following This is not an exam ,is homework
Answers
Draw each interval on the real line.
From the figure, the intersection of the intervals is the common interval to both and the union is the interval in either of them or in both.
\(\begin{gathered} (-\infty,-1)\cap(-6,10)=(-6,-1) \\ (-\infty,-1)\cup(-6,10)=(-\infty,10) \end{gathered}\)
1. Show that (p → q) ∨ (q → r) and p → (q ∨ r) are not logically equivalent.
2. Prove that [p ∧ (p → q)] → q is a tautology using (a) truth table (b) logical equivalences.
3. Determine whether the given compound proposition is satisfiable: (p ∨ ¬q) ∧ (¬p ∨ q) ∧ (¬p ∨ ¬q).
4. Determine the truth value of each of these statements if the universe of discourse for all variables consists of all real numbers.
(a) ∀x∃y(x 2 = y)
(b) ∃x∀y(xy = y)
(c) ∃x∃y(x + 2y = 5)
(d) ∀x∀y(x + y > 0)
Answers
Answer:
To show that (p → q) ∨ (q → r) and p → (q ∨ r) are not logically equivalent, we can construct a truth table for both propositions. The truth table shows that they do not have the same truth value in all cases, which means they are not equivalent.
p q r p → q q → r (p → q) ∨ (q → r) q ∨ r p → (q ∨ r)
T T T T T T T T
T T F T F T T T
T F T F T T T T
T F F F T T T T
F T T T T T T T
F T F T F T T T
F F T T T T T T
F F F T T T F F
As we can see from the truth table, there are two cases where the propositions have different truth values: when p is false and q is true, and when p, q, and r are all false. Therefore, (p → q) ∨ (q → r) and p → (q ∨ r) are not logically equivalent.
To prove that [p ∧ (p → q)] → q is a tautology, we can use a truth table or logical equivalences.
(a) Truth table:
p q p → q p ∧ (p → q) [p ∧ (p → q)] → q
T T T T T
T F F F T
F T T F T
F F T F T
As we can see from the truth table, the proposition [p ∧ (p → q)] → q is true in all cases, which means it is a tautology.
(b) Logical equivalences:
[p ∧ (p → q)] → q
= ¬[p ∧ (p → q)] ∨ q (implication)
= ¬p ∨ ¬(p → q) ∨ q (de Morgan's law)
= ¬p ∨ ¬(¬p ∨ q) ∨ q (implication)
= ¬p ∨ (p ∧ ¬q) ∨ q (de Morgan's law)
= (¬p ∨ p ∨ q) ∧ (¬p ∨ ¬q ∨ q) (distributive law)
= (¬p ∨ q) ∧ (¬p ∨ T) (complement and identity)
= ¬p ∨ q (simplification)
Since ¬p ∨ q is a tautology,
what are similarities between rigid and nonrigid transformations?
Answers
Answer:
here are four main types of transformations: translation, rotation, reflection and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage
Step-by-step explanation:
pls make me brainiest
Select all situations which involve finding the volume of a figure.
A- Stacking boxes of pencils in a cabinet.
B- Filling a cone with ice cream.
C - Painting a water tank.
D- Pouring water into a container.
E- Covering a pile of rocks with a tarp.
F- Selecting the correct pan to hold the cake batter.
(it’s a muti answer answer thing)
Answers
Answer:
Its a b d and f
Step-by-step explanation:
I hope I helped
Hep meeee shhdjahsnsjsnsnsjjsnssjsusns
Answers
Answer:
X= 42 degrees
Step-by-step explanation:
When combining 3x+12 and x, this results in a 180 degree angle to be formed. Therefore create the equation 3x+12+x=180 to get the value of X.
3x+12+x=180
4x+12=180
-12. 12
4x= 168
x= 42
which of the following will increase the power of a statistical test? a. none of the other options will increase power b. change the variability of the scores from 20 to 100 c. change the sample size from n
Answers
Change the sample size from n will increase the power of a statistical test. The correct answer is C.
Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.
This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.
The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.
Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.
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