Answer:
A is shown in the attached image.
B. 5/6
C. P(A or B)
Step-by-step explanation:
B. 1/2 + 2/3 - 1/3 = 5/6 or 3/6 + 4/6 - 2/6 = 5/6
C. P(A or B) = 5/6. P(A) + P(B) - P(A and B) = 5/6. Therefore, P(A) + P(B) - P(A and B) = P(A or B).
The equation of the ellipse that has a center at
(
2
,
4
)
, a focus at
(
5
,
4
)
, and a vertex at
(
7
,
4
)
, is
(
x
−
C
)
2
A
2
+
(
y
−
D
)
2
B
2
=
1
where
A
=
B
=
C
=
D
=
Answer: ask a parent or a teacher and read you paragraph again
Step-by-step explanation:
What is a good practice to remember when adding transitions to a presentation?
A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.
Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.
finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.
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que expresision algebraica es P (x)=3x - 5x +6?
a ____ is the total number of possible equal parts in a fraction
1. numerator
2. inverse operations
3. reciprocal
4. fraction
5. denominator
6. mixed number
Answer: The answer is 5. The denominator.
Step-by-step explanation:
Congruent yes or no
Congruent? _______
If so, what property? ________
Answer: No
Step-by-step explanation:
If we rotate them so they are both facing the same direction, the congruency between sides and angles do not make the two triangles congruent as a whole.
See attached for the pictures I drew of the triangles rotated. They are not to scale, but I kept the markings on.
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
co
5
H
The mapping diagram above|
Set B
✓in
-2
3
O
7
શ function since
where there
Answer:
It is not a function
Step-by-step explanation:
A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.
Here, element "1" has two images 3 and 7. Therefore it's not a function.
A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you do not select a tennis ball?
Answer:
11/19
Step-by-step explanation:
Total Balls= 19
Balls not tennis ball= 19-8= 11
Probability= 11/19
Please help me. I need help
Answer: (2x+11)(x+1)
Step-by-step explanation: 2x 2 +11x+2x+11 then x(2x+11)+(2x+11) and that should get you to (2x+11)(x+1)
Hope this helped :))
Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answer:
a. \(\tt \frac{1}{9}\)
b. \(\frac{1}{16}\)
c. 4
Step-by-step explanation:
\(\tt a. \:3^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:
\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)
\(\hrulefill\)
\(\tt b.\: -2^{-4}\)
We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:
\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)
\(\hrulefill\)
\(\tt c. \:(\frac{1}{2})^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:
\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
Can you help me find the answer to my homework questions thankyouuuu
In this problem, we have an exponential decay function of the form
\(y=a(1-r)^x\)where
y is the area in km2
x is the number of years
a=3,800 km2 (initial value)
r=6.25%=6.25/100=0.0625
substitute given values
\(\begin{gathered} y=3,800(1-0.0625)^x \\ y=3,800(0.9375)^x \end{gathered}\)For x=12 years
substitute
\(\begin{gathered} y=3,800(0.9375)^{12} \\ y=1,752\text{ km}^2 \end{gathered}\)therefore
The answer is 1,752 square kilometersWhat is f(−3) for the function f(a)=−2a2−5a+4?
Answer:
f(-3)
f(a) = -2a² - 5a + 4
Substitute a with its value, -3
f(-3) = -2(-3²) - 5(-3) + 4
f(-3) = -2(9) + 15 + 4
f(-3) = -18 + 19
f(-3) = 1
the value of f(-3) is 1.
Step-by-step explanation:
please mark me as brainlest
Mrs. Carroll asked her students to write an exponential function that represents a growth rate of 15% each year with an initial value of 1,000. Which student completed the task correctly
Answer:
i need help with the same thing but no one cares
Step-by-step explanation:
Will Give Brainliest, Question is attached.
Answer:
The answer is in the photo
Hope i helped. :)
Btw it was cut off
Step-by-step explanation:
4.05x + 5.70(3x) = 423
Answer:
x= 20
Step-by-step explanation:
5.70x3x=17.1x
17.1x+4.05x=21.15x
21.15x=423
423/21.15=20
x=20
Hope this is the answer you were looking for.
Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
which of the following ensures that an extraneous variable is just as likely to affect one experimental group as it is to affect the other group?
To ensure that an extraneous variable is just as likely to affect one experimental group as it is to affect the other group, the experimental design should use random assignment to assign participants to either the experimental group or the control group. This helps to balance out any potential differences between the groups that might be caused by the extraneous variable, and it makes it more likely that any differences between the groups that are observed can be attributed to the independent variable being studied.
Any variable that you are not examining but which has the potential to influence the dependent variable in your research study is referred to as an extraneous variable. Confounding variables are a particular kind of unrelated variable that influence both the dependent and independent variables.
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{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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How do I find the answer to this question?
Answer:
you see
Step-by-step explanation:
After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
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i need help with this problem
We can be 98% confident that the true population mean difference score falls within this interval. We can conclude that there is some evidence that the mean difference score is positive
What is the confidence interval?
A confidence interval refers to an interval such that there is a probability that the value of a parameter lies within that interval.
a. To test whether the difference in scores is significant or not, we need to conduct a one-sample t-test on the sample of difference scores.
The null hypothesis is that the mean difference score is zero (i.e., there is no significant difference in performance between the two tests), and the alternative hypothesis is that the mean difference score is not zero (i.e., there is a significant difference in performance between the two tests).
We can use the following formula to calculate the t-statistic:
\(t = (MD - 0) / (SD_d / \sqrt(n))\)
where MD is the mean difference score, SD_d is the standard deviation of the difference scores, and n is the sample size.
Plugging in the values, we get:
t = (4.8 - 0) / (10.1 / √(19)) = 1.79
The degrees of freedom for this test is n-1=18. Using a two-tailed test and a significance level of alpha=0.02, the critical t-value is ±2.878. Since our calculated t-value (1.79) is smaller in absolute value than the critical t-value, we fail to reject the null hypothesis.
There is insufficient evidence to conclude that there is a significant difference in performance between the two tests.
b. To calculate a 98% confidence interval for the average difference score, we can use the following formula:
\(CI = MD \pm t(\alpha/2, n-1) \times (SD_d / \sqrt(n))\)
where MD, SD_d, and n are the same as before, and t(α/2, n-1) is the t-value for the specified confidence level (98%) and degrees of freedom (18).
Plugging in the values, we get:
CI = 4.8 ± 2.878 * (10.1 / √(19)) = (-0.42, 10.02)
Therefore, we can be 98% confident that the true population mean difference score falls within this interval. We can conclude that there is some evidence that the mean difference score is positive (i.e., the students performed better on the first test than on the second test), but we cannot rule out the possibility that the true mean difference score is zero or even negative.
Therefore, we can be 98% confident that the true population mean difference score falls within this interval. We can conclude that there is some evidence that the mean difference score is positive
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2) There are 112 male and 78 females working at
a hospital. What percentage of the hospitals
workforce is female?
22%
32%
38%
41%
78%
Answer:
41%
Step-by-step explanation:
Start by adding up all hospital workers: 112 + 78 = 190 (total)
To find the percentage of those total workers that are female, divide the amount of female workers by the total: 78/190 = 0.41 = 41%
Answer:
41%
Step-by-step explanation:
Add the number of men and women to get the total number: 190. The number of women, 78, so divide 78 by 190 (78/190) to get .4105. Then multiply by 100 to convert it to a percentage and you have 41%.
T. Zhoa's class had some interesting strategies for answering the questionspout the orange juice recipes.Recipe A2 cups 3 cupsconcentrato cold waterRecipe B9 cupsconcentrato cold water5 cupsRecipe C1 cup2 cupsconcentrato cold waterRecipe D5 cupsconcentrate cold water3 cups1) Do you agree with Isabelle and Doug's thinking?2) Is Isabelle and Doug's strategy accurate?3) Did Isabelle and Doug answer the question?Strategy 2: Isabelle and DougIsabelle and Doug used fractions to express their reasoning.Isabelle:Doug:of B is concentrate14of is concentrate.
1) Do you agree with Isabelle and Doug's thinking?
Isabelle and Doug used fractions to express their reasoning. Comparing fractions is the best way to find the answer.
2) Is Isabelle and Doug's strategy accurate?
Doug is right because he's comparing the number of cups contracted against the total. Isabella is not correct because she is comparing part against part.
3) Did Isabelle and Doug answer the question?
No, they did not answer the question because they need to compare all the containers and are only looking at container B
A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she throws 3 shots. Let x = the number of shots that he makes. What is the probability that she makes 0 shots?.
The probability that the basketball player makes 0 shots out of 3 is 0.343, or 34.3%. This can be calculated by using the binomial probability formula.
To calculate the probability of any outcome of a binomial experiment, use the formula: P(x) = nCx * px * (1-p)n-x, where n is the number of trials, x is the number of successes, and p is the probability of success in any one trial.
The Binomial Probability formula is
P(x) = nCx * \(p^x\) * \((1-p)^{(n-x)}\).In this case, n = 3, x = 0, p = 0.39, and (1-p) = 0.61. Plugging these values into the formula, we get
P(x) = 3C0 * \(0.39^0\) * 0.61³
= 0.343.
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A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct. Report the answer as a percent rounded to two decimal place accuracy. You need not enter the "%" symbol. Probability = %
Answer:
Probability = 4%
Step-by-step explanation:
For each answer, there are only two possible outcomes. Either it is correct, or it is not. The probability of an answer being correct is independent of other answers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
Each question has 5 possible answer:
The person guesses, so \(p = \frac{1}{5} = 0.2\)
2 questions:
This means that \(n = 2\)
Find the probability that both responses are correct.
This is P(X = 2).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04\)
As a percent:
Probability = 4%
What is the value of the expression when n = -3 ?
What would be the first step in simplifying this expression when
n = -3?
n²3 (2) + 4n
A -9; First step is (-3)^2
B 0; First step is (-3)^2
C -48; First step is 4(-3)
D -9; First step is 3(2)
E 0; First step is 4(-3)
F -48; First step is 3(2)
The value that of the expression when n= -3 as in the task content is; Choice D; -9; First step is 3(2).
What is the value of the expression as given in the task content when n = -3?It follows from the task content that the value of the expression can be determined as follows;
n² - 3(2) + 4n
= n² - 6 + 4n
= (-3)² - 6 +4(-3)
= 9 -6 -12
= -9.
Ultimately, the first step by PEMDAS guidelines is; 3(2) and the correct choice is D.
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If there are three boys for every four girls in the chorus what the ratio to represents the relationship between the number of girls in the chorus and the number of students in the chorus.
Answer:
4/7
Step-by-step explanation:
I think this is the awnser
R is a midpoint on the line segment QS. if QR=12.5 what is QS?
Based on the definition of the midpoint of a line segment, the length of QS is calculated as: 25 units.
What is the Midpoint of a Line Segment?When a point lies on a line segment in such a way that it bisects the line into two equal halves, that point is said to be the midpoint of that line segment.
In the image attached below, on line segment QS, R bisects QS into two equal halves because it is the midpoint of segment QS.
Given that segment QR = 12.5, this means that it is half of the line segment QS.
Therefore:
Length of QR = 12.5
Length of QR = 1/2(length of QS)
Thus:
12.5 = 1/2(length of QS)
Multiply 2 by both sides
2(12.5) = length of QS
25 = length of QS
Length of QS = 25 units.
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19. Describe the graph of a proportional relationship.
The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.
What is a straight line graph?A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.
There are some characteristics that shows that a graph is of proportional relationship which include the following:
The graph always starts from zeroThe graph must be a straight line graphLearn more about graph here:
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The equation y=1/5x+3.5 can be used to find the amount of accumulated snow y in inches x hours after 5 P.M. on a certain day. Graph this equation.
The coordinates of the y-intercept are (0, 3.5) and the coordinates of the x-intercepts are (-17.5, 0). Using these coordinates, the graph of the equation is shown below.
Graphing linear equationsFrom the question, we are to graph the given linear equation.
To graph the equation,
We will determine the coordinates of the x-intercepts and y-intercepts.
When x = 0
y = 1/5x + 3.5
y = 1/5(0) + 3.5
y = 3.5
(0, 3.5)
When y = 0
y = 1/5x + 3.5
0 = 1/5x + 3.5
Multiply through by 5
0 = x + 17.5
x = -17.5
(-17.5, 0)
Using the coordinates of the x-axis and y-axis, the graph of the equation is shown below.
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