Answer:
$28
Step-by-step explanation:
Drag each tile to the correct box. Using the order of operations, what are the steps for solving this expression? 8 x 3 (4213) +52 +4 x 3 Arrange the steps in the order in which they are performed. 16 13 - 5² 4² 8+25 33 + 12 24 3 8 × 3 4 x 3 ↓ ↓ 40-
The steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are 16, 384, 12, 436, 448.
To solve the expression 8 x 3 (4213) + 52 + 4 x 3 using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), the steps should be performed in the following order:
Start by simplifying the expression within the parentheses: 4213 = 16.
Expression becomes: 8 x 3 x 16 + 52 + 4 x 3
Perform the multiplication operations from left to right:
8 x 3 x 16 = 384
Expression becomes: 384 + 52 + 4 x 3
Continue with any remaining multiplication operations:
4 x 3 = 12
Expression becomes: 384 + 52 + 12
Perform the addition operations from left to right:
384 + 52 = 436
Expression becomes: 436 + 12
Finally, perform the remaining addition operation:
436 + 12 = 448
Therefore, the steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are:
16, 384, 12, 436, 448.
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What are the roots of the equation?
x2+24=11x
Enter your answers in the boxes
Answer:
it is zero I think I'm sorry if I'm incorrect.
Step-by-step explanation:
Answer: x1, 8 x2, 3
Step-by-step explanation:
[6m² x 6n² ÷ 9mn ÷ 2m]² ??
I need to simplify this expression
please help with working out so I can understand. Thanks!
Answer:
4n^2.
Step-by-step explanation:
Working from left to right in the square parentheses:-
[6m² x 6n² ÷ 9mn ÷ 2m]²
= [(36m^2n^2 / 9mn) / 2m]^2
= (4mn / 2m)^2
= (2n)^2
= 4n^2.
[6m² x 6n² ÷ 9mn ÷ 2m]²
to find:the simplest form.
solution:\( (\frac{6 {m}^{2} \times (6 {n}^{2} ) \div 9mn {}^{} }{2m} ) {}^{2} \)
\( = \binom{ \frac{2 {m}^{2} \times (6 {n}^{2}) }{3mn} }{2m} {}^{2} \)
\( = \binom{ \frac{2m \times (2 {n}^{2}) }{n} }{2m} {}^{2} \)
\( = ( \frac{m \times (2n)}{m} ) {}^{2} \)
\( = (2n {)}^{2} \)
\( = 4 {n}^{2} \)
If events A and B are independent, what must be done to find the probability of event A AND B?
A. Multiply the probability of A and the probability of B.
B. Divide the probability of A and the probability of B.
C. Subtract the probability of A and the probability of B.
D. Add the probabilities of A and the probability of B.
The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.
In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.
To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).
For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:
P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12
Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.
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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.
In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.
To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.
The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.
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what is 23/24 divided by 18/14
Answer:
1 and 5/18 I believe!
Step-by-step explanation:
Hope this helps
Answer:
0.74
Step-by-step explanation:
This is the correct answer. The reason is that 23/24 equals 0.9583. Next, when you divide 18/14, the answer is 1.29. When you divide 0.9583/1.29, the answer is 0.74
Refer to the recurrence relation for the Fibonacci sequence in Definition 3.1 (a) Answer Fibonacci's question by calculating F(11) ___(b) Write F(2000) in terms of F(1999) and F(1998) F(2000) = ___ F1999) + ___ . F(1998) (c) Write F(2000) in terms of F(1998) and F(1997) F(2000) = ___ F(1998) + ___ . F(1997)
a) Using the recurrence relation- F(11) = 89
b) F(2000) = 2F(1997) + F(1998)
c) F(2000) = 2F(1998) + F(1997)
(a) To calculate F(11) using the recurrence relation for the Fibonacci sequenceWe can use the formula:
F(11) = F(10) + F(9)
We know that F(10) = 55 and F(9) = 34 (using the recurrence relation),
So, F(11) = 55 + 34 = 89
Therefore, F(11) = 89.
(b) To write F(2000) in terms of F(1999) and F(1998)We can use the recurrence relation:
F(2000) = F(1999) + F(1998)
We can then substitute F(1999) and F(1998) using the recurrence relation:
F(2000) = F(1999) + F(1998)
F(1999) = F(1998) + F(1997)
F(1998) = F(1997) + F(1996)
Substituting F(1999) and F(1998):
F(2000) = F(1998) + F(1997) + F(1997) + F(1996)
F(2000) = 2F(1997) + F(1998)
Therefore, F(2000) = 2F(1997) + F(1998).
(c) To write F(2000) in terms of F(1998) and F(1997)
Using the recurrence relation:
F(2000) = F(1999) + F(1998)
We can substitute F(1999) using the recurrence relation:
F(2000) = F(1998) + F(1997) + F(1998)
F(2000) = 2F(1998) + F(1997)
Therefore, F(2000) = 2F(1998) + F(1997).
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Help please hurry too!!!!
Answer:
false
Step-by-step explanation:
Solve 2/3x>8 and 2/3x<4
Answer:
EZ 12678906543234567
Step-by-step explanation:
TOLD YOU :D
BRAINLY PLZ
8X4 =32
8+4 IS 12
SO I DONT KNOW BUT YA
Grade 12 vectros 6.4,5,6,7 Q10 Let →v=⟨3,2⟩.Sketch →v, Sketch −2→v, and Sketch 1/2v→
To find:
The sketch of v, 2v and 1/2 v.
Solution:
Given the v = <3,2>.
(a)
The sketch of v is shown below:
(b)
The value of 2v can be obtained as follows:
\(\begin{gathered} \vec{v}=<3,2> \\ \vec{2v}=2<3,2> \\ \vec{2v}=<6,4> \end{gathered}\)The sketch of 2v is shown below:
(c)
The value of 1/2 v can be obtained as follows:
\(\begin{gathered} \vec{v}=<3,2> \\ \frac{1}{2}\vec{v}=\frac{1}{2}<3,2> \\ \frac{1}{2}\vec{v}=<1.5,1> \end{gathered}\)The sketch of 1/2 v is shown below:
HELP PLZ . Will mark brainliest!!!
Point A is the incenter of triangle DEF.
Which must be true? Select three options
Point A is the center of the circle that passes through points D, E, and F.
Point A is the center of the circle that passes through points X, Y, and Z.
Line segment Z A is-congruent-to line segment Y A
Line segment E A is-congruent-to line segment F A
Line segment A X is-congruent-to line segment A Y
Answer:
B. Point A is the center of the circle that passes through points X, Y, and Z.
C. ZA=YA
E. AX=AY
Step-by-step explanation:
Took the test got it right...
Answer:
2, 3, 5
Step-by-step explanation:
edge2020
You have two sets of data. One has an R^2 value of 0.95. the other has an R^2 value of 0.81. Which one is more linear (that is, the data more nearly fits onto a single line)? a. The one with R^2 = 0.95 is more linear b. The one with R^2 = 0.81 is more linear c. They are equally lineard. It is impossible to determine this from the information given.
As there is a greater linear relationship between the variables in the data set with an R² value of 0.95, it is more linear. The solution given in option a, "The one with R² = 0.95 is more linear," is correct.
In a linear regression model, the coefficient of determination, or R², quantifies the percentage of the dependent variable's variation that is explained by the independent variable(s).
Strong linear relationships between the variables are indicated by an R² value that is close to 1, whereas weak linear relationships are indicated by a value that is close to 0.
Therefore, Because there is a stronger linear relationship between the variables in the data set with an R² value of 0.95 than in the data set with an R² value of 0.81, it is more linear.
The more closely the data points are grouped around a single line, the stronger the linear relationship, and the closer the R² number is to 1.
Therefore, We can deduce that the proper response is an option a, "The one with R²= 0.95 is more linear." Write your response in two lines.
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yall i need help what is 3y^18 simplified ?????????????
Answer:
387420489y^18
Step-by-step explanation:
(3y^18)
387420489y^18
Given ∠3≅∠13, which lines, if any, must be parallel based on the given information? Justify your conclusion. Responses a∥b, Converse of the Alternate Interior Angles Theorem a is parallel to b, , Converse of the Alternate Interior Angles Theorem c∥d, Converse of the Same-Side Interior Angles Theorem c is parallel to d, , Converse of the Same-Side Interior Angles Theorem c∥d, Converse of the Corresponding Angles Theorem c is parallel to d, , Converse of the Corresponding Angles Theorem not enough information to make a conclusion not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.
The order of the arrangement of the angles in the question (see attached drawing based on a similar question on the website, created with MS Word) indicate that the angles ∠3 and ∠13 are congruent. The correct option is therefore;
a║b, Converse of the Alternate Interior Theorem
What are congruent angles?Congruent angles are angles that have the same measure.
The lines that must be parallel, such that ∠3 ≅ ∠13 is indicated by the definition of the relationship between ∠3 and ∠13 as follows;
Statement \({}\) Reason
1. ∠3 ≅ ∠13 \({}\) 1. Given
2. ∠3 and ∠13 are alt int. ∠s\({}\) between a and b 2. Definition
3. Line a is parallel to line b \({}\) 3. Conv of the alt int. ∠s theorem
The lines that must be parallel are line a and line bThe reason for the conclusion is based on the converse of the alternate interior angles theorem as follows;
Angle ∠3 and angle ∠13 are alternate interior angles, which are angles located on the inside and on the opposite sides of the common transversal of two lines.
The converse of the alternate interior angles theorem state that if the alternate interior angles formed between two lines, a and b and their common transversal are congruent, then the two lines, a and b are parallel (a ║ b).
The correct option is therefore;
a ║ b, Converse of the Alternate Interior Angles Theorem
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|x-7|=x-7 but now I need 20 more letters so I'm stalling
Answer:
Step-by-step explanation:
x = 7
Between which two numbers does √33 lie on a number line?
Answer: 11
Step-by-step explanation:
11x3=33
So its asking what number its in between so it's 11
help meeeeeeeeeeeeeeee. this is due tomorrow
Answer:
common difference increases by 2 times
d = (2×12) = 24
\( {a}^{4} + {b}^{4} + {c}^{4} = (22 + (12 \times 2)) \\ = 46\)
A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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Amy is draining an aquarium. The graph shows the amount of water (in liters) in the aquarium versus time (in minutes)
From the graph, we have the amount of water (in liters) on the y-axis and the time (in minutes) on the x-axis
a)
To obtain the amount of water at zero minutes, we will trace the y-value that corresponds with the value of zero on the x-axis: we will see this to be 270 liters
Therefore, at time zero minutes, the amount of water is 270 liters
b)
We will answer this by picking two points that lie along the straight line and calculate the slope. We pick the points:
\(\begin{gathered} (x_1,y_1)=(0,270) \\ (x_2,y_2)=(2,90) \end{gathered}\)We will proceed to calculate the slope as shown below:
\(\begin{gathered} slope(m)=\frac{y_2-y_1}{x_2-x_1} \\ \text{Substitute the values of the variables into the equation, we have:} \\ slope(m)=\frac{90-270}{2-0} \\ slope(m)=-\frac{180}{2} \\ slope(m)=-90l\text{/}min \end{gathered}\)The slope is -90 liters per minute.
The negative sign (-) means that as time increases, the amount of water in the aquarium decreases
The water decreases at a rate of 90 liters per minute
the salespeople at owl realty sell up to 9 houses per month. the probability distribution of a salesperson selling n houses in a month is as follows: sales probability 0 .05 1 .10 2 .15 3 .20 4 .15 5 6 .10 7 .05 8 .05 9 .05 what is the probability of selling 5 houses in a month?
The probability of a salesperson at Owl Realty selling 5 houses in a month is 0.05 or 5%.
The probability distribution provided gives the likelihood of a salesperson selling a specific number of houses (n) in a month. In this case, we are interested in finding the probability of a salesperson selling 5 houses in a month. From the given distribution, we can directly read the probability corresponding to n=5.
Unfortunately, it appears that the probability for selling 5 houses is missing in the information provided. However, we know that the total probability for all possible outcomes must equal 1. To find the missing probability, we can add up the probabilities for all other outcomes (0-4, 6-9) and then subtract that sum from 1.
0.05 (0 houses) + 0.10 (1 house) + 0.15 (2 houses) + 0.20 (3 houses) + 0.15 (4 houses) + 0.10 (6 houses) + 0.05 (7 houses) + 0.05 (8 houses) + 0.05 (9 houses) = 0.95
Now, subtract this sum from 1 to find the probability of selling 5 houses:
1 - 0.95 = 0.05
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QUESTION 6 a. b. A crucial feature of planned comparisons is that they are planned before the study is conducted. planned after the study is conducted, but before the analysis of variance is fully completed. more likely to yield type I errors than unplanned comparisons. conducted only if the results appear, through visual inspection, to be quite large. C. QUESTION 7 By the logic of the Bonferroni procedure, to maintain an overall significance level of .05 for three comparisons, the significance level for each comparison should be set at 1..05/(3-1) = .025. :(.05)(3) = .15. O C(.05)(.05).05) = .000125. d..05/3 = .017. b
The significance level for each comparison in the Bonferroni procedure should be set at approximately .017 to maintain an overall significance level of .05 for three comparisons.
The Bonferroni procedure is a statistical method used to adjust the significance level when conducting multiple comparisons. It is important to plan the comparisons before the study is conducted to avoid bias and ensure the validity of the results.
In the case of maintaining an overall significance level of .05 for three comparisons, the significance level for each individual comparison should be set at .05 divided by the number of comparisons. In this case, there are three comparisons, so the adjusted significance level for each comparison would be .05 divided by 3, which is approximately .017.
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how to find the domain and range of y=|x| ?
if the allowable increase for a constraint is 100 and we add 110 units of the resource what happens to the objective function value?
If the allowable increase for a constraint is 100 units and we add 110 units of the resource, the impact on the objective function value depends on the specific problem and its constraints.
In general, adding more units of a resource beyond the allowable increase can lead to different outcomes:
Feasible Solution: If adding the additional 110 units of the resource still allows the problem to satisfy all constraints and remain feasible, the objective function value may improve or remain the same. This is because the extra resources can be utilized to optimize the objective function further.
Infeasible Solution: If adding the extra 110 units violates any of the problem's constraints, the solution becomes infeasible. In this case, the objective function value may become undefined or have no meaning since the problem cannot be solved within the given constraints.
It's important to note that the specific impact on the objective function value will depend on the nature of the problem, the objective function itself, and the constraints involved. Each problem may have its own unique behavior when additional resources are added beyond the allowable increase.
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a restaurant is introducing a new gluten-free recipe for the topping in its baked zucchini recipe. the chef will continue to use this topping if less than 8% of her customers complain about the new taste. using a random sample of customers, she conducts a hypothesis test with h0: the complaint rate is 8%, and ha: the complaint rate is less than 8%. what is a type i error and its consequence in this context?
By hypothesis testing, The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.
What does testing your hypotheses mean?
To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample.
First, a hazy assumption about the parameter or distribution is made.
What is hypothesis testing, and how can it be used?
A statistician will test a hypothesis about a population parameter in a process known as hypothesis testing. The type of data used in the study and its purpose will determine the methodology the analyst uses.
The plausibility of a hypothesis is evaluated using sample data in a process known as hypothesis testing.
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Football The function defined by h = -5t² + 20t + 2 indicates the approximate height h of a soccer ball. in meters according to the elapsed time t in seconds, since it was launched. This ball hit the ground before a receiver managed to approach it. How much time has the balloon spent in the air, to the nearest tenth of a second! For how many seconds was he at a height of at least 17 m?
Remy drink 2 1/4 cups of water every 1 4/5 hours. How many cups of water does he drink in 1 hour? Enter your answer as a mixed number.
Answer:
The answer is 1 1/4
Step-by-step explanation:
solve by making a ratio!
(2 1/4 cups)/ (1 4/5 hrs)
to find how many cups he can drink in 1 hr, divide both the numerator and denominator by 1 4/5.
(5/4 cups)/ (1 hr)
the question asks for a mixed number. convert 5/4 to a mixed number.
5/4= 1 1/4
If the expression ___ is written in the form _____ then what is the product of a, b, and c?
Answer:
\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)
\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15:115, colon, 1. He currently has
40
4040 grams of the spice blend, and he can go buy more if necessary. He wants to make
10
1010 servings, where each serving has
75
7575 grams of rice. Overall, David spends
4.50
4.504, point, 50 dollars on rice.
What is the price of rice per gram?
Answer:
The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
Step-by-step explanation:
David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
2. An electric fan has a resistance of 3.0 kN and a voltage rating of 220 volts. What
is the current needed to operate the electric fan?
Given:
Resistance (R)
ka x (1000/1 kg) =
volts
Voltage (V)
Required: Current (1)
Formula:
voltage
resistance
Solution:
V-IR
Answer:
Current =
A, the current needed to operate
the electric fan
Answer: 73.33A
Step-by-step explanation:
Resistance (R)= 3.0 kN
Voltage (V)= 220 volts
Current (I)= Unknown
The formula to calculate the current will be:
Current = Voltage / Resistance
Current = 220 / 3.0
Current = 73.33 A
Therefore, the current needed to operate the electric fan is 73.33.
A manufacturing process produces semiconductor chips with a known failure rate of 5.5%. If a random sample of 285 chips is selected, approximate the probability that fewer than 13 will be defective. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
To approximate the probability that fewer than 13 chips will be defective out of a random sample of 285, we can use the normal approximation to the binomial distribution with a correction for continuity.
First, we calculate the mean (μ) and standard deviation (σ) of the binomial distribution using the formula:
μ = n * p
σ = sqrt(n * p * (1 - p))
where n is the sample size and p is the probability of success (failure rate).
In this case:
n = 285
p = 0.055 (5.5% failure rate)
μ = 285 * 0.055 = 15.675
σ = sqrt(285 * 0.055 * (1 - 0.055)) = 4.142
Next, we use the normal distribution to approximate the probability of fewer than 13 defective chips. We standardize the value by calculating the z-score:
z = (x - μ) / σ
For x = 13:
z = (13 - 15.675) / 4.142 = -0.645
Using a standard normal distribution table or calculator, we find the cumulative probability for z = -0.645, which is approximately 0.259.
Therefore, the probability that fewer than 13 chips will be defective is approximately 0.259 (rounded to three decimal places).
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Indentify the ordered pairs that are solutions to the linear inequality 5x-y>4. Select all that apply
Ordered pairs :
A. (4,2)
B. (5,-2)
C.(0,-1)
D.(-3,1)
E. (2,7)
F. (8,4)
Answer:
A, B, F are solution to the inequality
Step-by-step explanation:
5x - y > 4
To obtain the pairs which are solution to the linear inequality ; we plug in each orders pair of values into the inequality :
A.)
(4,2)
5x - y > 4
5(4) - 2 > 4
20 - 2 > 4
18 > 4 - - - - - - - True
B.
(5, -2)
5x - y > 4
5(5) - (-2) > 4
25 + 2 > 4
27 > 4 - - - True
C.
(0, -1)
5x - y > 4
5(0) - (-1) > 4
1 > 4 - - - - - - - Untrue
D.
(-3,1)
5x - y > 4
5(-3) - 1 > 4
-15 - 1 > 4
-16 > 4 - - - - - > Untrue
E.
(2,7)
5x - y > 4
5(2) - 7 > 4
10 - 7 > 4
3 > 4 - - - - Untrue
F.
(8,4)
5x - y > 4
5(8) - 4 > 4
40 - 4 > 4
36 > 4 - - - - - - - True