Answer:
x = 3,17 in
Step-by-step explanation:
Movie poster dimensions:
8,5 and 11 inches
Let´s call "x" the side of the square, to cut in each corner, then the volume of the open box will be:
V(ob) = ( 8,5 - x ) * ( 11 - x )* x
Then volume as a function of x
V(x) = ( 8,5 - x ) * ( 11 - x )* x or V(x) = ( 93,5 - 8,5*x - 11*x + x² )*x
V(x) = 93,5*x -19,5*x² + x³
Taking derivatives on both sides of the equation:
V´(x) = 93,5 - 39*x + 3*x²
V´(x) = 0 ⇒ 93,5 - 39*x + 3*x² = 0
3*x² - 39*x + 93,5 = 0
Solving for x
x₁,₂ = ( 39 ± √1521 - 1122 )/6
x₁,₂ = 39 ± 19,97 / 6
x₁ = 19,03/6 x₁ = 3,17 in
x₂ = 58,97 / 6 x₂ = 9,83 dismiss this root (we can´t cut 2 pieces of 9,83 from 8,5 inches
x = 3,17 in
Good amount of points
Good answer = Brainliest
Abdsurd answer = report
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
A. Javier needs to know the measure of angle P.
B. Javier needs to know the measure of angle M.
C. Javier needs to know the measure of angle S.
D. Javier needs to know that segment MN is parallel to segment SR.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
In triangles MNP and RSP, if there are two pairs of corresponding angles that are congruent or equal, it means that triangle MNP is similar to triangle RSP. The corresponding angles in both triangles are....
P corresponding to P
M corresponding to R
N corresponding to S
Therefore, the missing piece of information that Javier needs to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate is....
A. Javier needs to know the measure of angle P.
Suppose Capital One is advertising a 60-month, 5.54% APR motorcycle loan. If you need to borrow $7,200 to purchase your dream Harley-Davidson, what will be your monthly payment? (Note: Be careful not to round any intermediate steps less than six decimal places.)
Your monthly payment will be $ . (Round to the nearest cent.)
Your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.
To calculate the monthly payment for a motorcycle loan, we can use the formula for the present value of an annuity. The formula is:
PMT = PV * r / (1 - (1 + r)^(-n))
Where:
PMT = Monthly payment
PV = Present value of the loan
r = Monthly interest rate
n = Number of months
In this case, the present value of the loan (PV) is $7,200, the monthly interest rate (r) is 5.54% divided by 12 (0.0554 / 12), and the number of months (n) is 60.
Plugging in these values into the formula, we get:
PMT = 7200 * (0.0554 / 12) / (1 - (1 + (0.0554 / 12))^(-60))
Evaluating this expression, the monthly payment comes out to be approximately $136.88.
Therefore, your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.
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Somebody can help me please
2. In the equation 5(x - 3) = 25, what should you do after using the Distributive Property?
Answer:
umm... This how I learned from the chapter simple equation. Hopefully helps
Step-by-step explanation:
5(x - 3) = 25 we have to find the value of 'x'
so transpose 5 x to the other side = (x - 3) = 25 divided by 5 becuz it was multiplication on the other side so it is equal to = (x - 3) = 5
Now we transpose -3 which is equal to = x = 5 + 3 = 8
so, x = 8
hopefully it helps!!!!!!!
Step-by-step explanation:
first use distributive property
like this 5(x-3)=25
5x-15=25
then 5x=25+15
5x=40
5x/5=40/5
x=8
Linda is currently working at GM as a mechanical engineer. She is taking master of architecture design program in LTU and has paid $5,000 tuition in 2022. What’s amount of deductions she can take in 2022 as unreimbursed employee education expenses? If she is a single and her modified AGI is $60,000, what’s amount of deductions she can take in 2022 as qualified tuition and related expenses under section 222? Is it deduction for AGI or from AGI?
Linda would not be able to deduct the $5,000 tuition she paid in 2022 as unreimbursed employee education expenses due to the suspension of miscellaneous itemized deductions.
However, she may be eligible for a deduction for qualified tuition and related expenses under Section 222, which allows her to deduct qualified education expenses as an adjustment to income. The amount of the deduction would depend on her MAGI and the phase-out limits applicable for the tax year.
In 2022, Linda can potentially deduct the unreimbursed employee education expenses as a miscellaneous itemized deduction. However, it's important to note that miscellaneous itemized deductions, including employee education expenses, are no longer deductible for tax years 2018 to 2025, unless they are specifically allowed under the tax code. Therefore, Linda would not be able to deduct the $5,000 tuition she paid in 2022 as unreimbursed employee education expenses.
However, there is an alternative deduction available for qualified tuition and related expenses under Section 222 of the Internal Revenue Code. This deduction allows eligible taxpayers to deduct qualified education expenses as an adjustment to income, rather than as an itemized deduction. The deduction for qualified tuition and related expenses is available whether or not the taxpayer itemizes deductions on their tax return.
To determine the amount of the deduction, we need to consider Linda's modified adjusted gross income (MAGI) and her filing status. In this case, she is single with a modified AGI of $60,000. The deduction for qualified tuition and related expenses is gradually phased out for taxpayers with MAGI between certain income thresholds.
For tax year 2022, the deduction begins to phase out at a MAGI of $65,000 for single taxpayers. The deduction is completely phased out at a MAGI of $80,000 or higher. Since Linda's MAGI is below $65,000, she would be eligible for the full deduction for qualified tuition and related expenses under Section 222.
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Data Set: 3,4,3,9,3,5,8,5 What is the interquartile range? (Offering brainliest!)
The interquartile range (IQR) is a measure of statistical dispersion, specifically the range between the first quartile (Q1) and the third quartile (Q3) in a dataset. To calculate the interquartile range for the given dataset (3, 4, 3, 9, 3, 5, 8, 5), we follow these steps:
Step 1: Arrange the dataset in ascending order: 3, 3, 3, 4, 5, 5, 8, 9.
Step 2: Calculate the median (Q2), which is the middle value of the dataset. In this case, the median is (4 + 5) / 2 = 4.5.
Step 3: Calculate the lower quartile (Q1), which is the median of the lower half of the dataset. In this case, the lower half is (3, 3, 3, 4), and the median of this subset is (3 + 3) / 2 = 3.
Step 4: Calculate the upper quartile (Q3), which is the median of the upper half of the dataset. In this case, the upper half is (5, 5, 8, 9), and the median of this subset is (5 + 8) / 2 = 6.5.
Step 5: Calculate the interquartile range (IQR) by subtracting Q1 from Q3: IQR = Q3 - Q1 = 6.5 - 3 = 3.5.
Therefore, the interquartile range for the given dataset is 3.5.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Which of the following is equivalent to25×38?
Answer:
29x38= 950
Step-by-step explanation:
A recent study showed that women who lived near a freeway had an unusually high rate of rheumatoid arthritis. Sarah said, "They should move away from freeways." Select the correct fallacy in Sarah's reasoning? (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.) Pitfall 1: Conclusions from Small Samples Pitfall 3: Conclusions from Rare Events Pitfall 4: Poor Survey Methods Pitfall 5: Assuming a Causal Link Pitfall 6: Generalization to Individuals
Sarah has made an assumption that all women who live near a freeway have rheumatoid arthritis. Sarah's assumption is an example of fallacy of Generalization to Individuals.Fallacies are mistakes or errors that occur in arguments. They're frequently used to distract or deceive the audience in order to achieve an objective.
A logical fallacy is a flaw in the reasoning used to develop an argument that renders it invalid.
Sarah's reasoning is based on a fallacy of generalization to individuals. Sarah made the mistake of generalizing from a group of people that live near a freeway to an individual's circumstance. She assumes that all women who live near a freeway will have a high incidence of rheumatoid arthritis. The fact is that the sample size was too small to draw a conclusion based on it. Pitfall 1: Conclusions from Small Samples - Occurs when the sample size used to draw conclusions is too small. Sarah made the mistake of drawing a conclusion based on a small sample of women who lived near a freeway. Pitfall 6: Generalization to Individuals - Occurs when a group's characteristics are generalized to an individual. Sarah assumed that all women who lived near a freeway would have a high incidence of rheumatoid arthritis.
Therefore, Sarah's reasoning is based on the fallacy of generalization to individuals. Her conclusion is not valid since she is using a small sample size to generalize to all women living near a freeway.
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Find the distance between the two points. (-4,-1) and (-39,-121)
Answer:
The answer is 125 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4,-1) and (-39,-121)
The distance between them is
[tex]d = \sqrt{ ({ - 4 + 39})^{2} + ({ - 1 + 121})^{2} } \\ = \sqrt{ {35}^{2} + {120}^{2} } \: \: \: \: \\ = \sqrt{1225 + 14400} \\ = \sqrt{15625} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 125 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
125 unitsHope this helps you
Charles Darwin predicted that tetrapods evolved from _____________. What observation leads to that hypothesis?
What evidence would you expect to find to support that hypothesis? What age rocks would you
look in and why?
Charles Darwin predicted that tetrapods evolved from lobe-finned fishes. The observation that led to this hypothesis is the similarity of the limb structure of tetrapods to lobe-finned fish fins. He observed that the fin structure of the fish contained a similar bone pattern as the limb structure of tetrapods.
To support the hypothesis, the evidence that we can expect to find are fossils that have the transitional structures between the two organisms. We can also expect to find evidence of how the fins in fishes changed over time and how they evolved into the limb structures that we see in tetrapods. This could be in the form of fossils with intermediate stages between the two groups, showing how the structure of the fins changed over time and how that might have influenced the development of tetrapod limbs.
To find such fossils, we would look for rocks from the Devonian period, which lasted from around 419 to 359 million years ago. This is because this is the time period when tetrapods are believed to have evolved from lobe-finned fishes. It was during this period that the early tetrapod species such as Ichthyostega and Acanthostega evolved. As such, fossils of these early tetrapods and the fish they evolved from, as well as any intermediate fossils, would be most likely found in rocks from this time period.
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Would you rather sell a batch of cookies for $.50 each with an expense to make them of eight dollars or the entire batch of 30 cookies for15 with an expense to make them of six dollars
help:/
Answer:
.50 each
Step-by-step explanation:
If you multiply a pair of complex conjugates, what number set will their product be a member of?
Answer:
always a real number
Answer:
Real number
Step-by-step explanation:
A pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds what is the velocity
Answer:
96 ft/s toward home plate
Step-by-step explanation:
because I Know this because I actually teached a class about this
The velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
A pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.
The distance baseball traveled = 60.5 ft
Time it takes = 0.63 seconds
As we know, the distance-time relationship:
u = d/t
Here, u is the velocity
d is the distance
t is the time
u = 60.5/0.63
u = 96.031 ft/second
Thus, the velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.
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Find positive numbers x and y such that x + y = 72 and 6xy² is maximized.
To maximize the expression 6xy² under the condition x + y = 72, we can use the method of substitution to rewrite the expression in terms of a single variable and find its maximum value. Since the second derivative at x = 96 is positive, x = 96 corresponds to the maximum value.
Given that x + y = 72, we can rewrite the expression 6xy² as 6x(72 - x)². Expanding this expression yields 6x(5184 - 144x + x²). Simplifying further gives us the quadratic expression 31104x - 864x² + 6x³.
To find the maximum value of this expression, we can take its derivative with respect to x and set it equal to zero. Taking the derivative yields 31104 - 1728x + 18x². Setting this equal to zero and solving for x gives us two critical points: x = 32 and x = 96.
To determine which critical point corresponds to the maximum value, we can evaluate the second derivative of the expression. The second derivative is -1728 + 36x. Plugging in x = 32 and x = 96 into the second derivative, we find that -1728 + 36(32) = -864 and -1728 + 36(96) = 1944, respectively. Since the second derivative at x = 96 is positive, x = 96 corresponds to the maximum value.
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2. Describe the steps you would use to solve the equation
3(4y - 7) = 6.
Answer:
y = 9/4
Step-by-step explanation:
Step 1: Write equation
3(4y - 7) = 6
Step 2: Solve for y
Distribute 3: 12y - 21 = 6Add 21 to both sides: 12y = 27Divide both sides by 12: y = 27/12Simplify: y = 9/4Step 3: Check
Plug in y to verify it's a solution.
3(4(9/4) - 7) = 6
3(9 - 7) = 6
3(2) = 6
6 = 6
6. AABC-ADEF. The scale factor between AABC and ADEF is 1:3. If the area of AABC is x, then find the area of ADEF. A. x B. 3x C. (9x) D. 9x 7. AMNO-ARST AMNO has an area of 750 cm³. ARST has an area of 30 cm². What is the ratio of similitude between AMNO and ARST? A. 5 to 1 B. 25 to 1 C. 50 to 1 D. 250 to 1 146 |
For the given problem, the area of ∆DEF is (1/9) x.
In the problem, we are given that ∆ABC is similar to ∆DEF with a scale factor of 1:3. This means that the corresponding sides of ∆DEF are three times longer than those of ∆ABC. Since the area of a triangle is proportional to the square of its side length, the area of ∆DEF will be proportional to the square of the scale factor, which is (1/3)^2 = 1/9.
Given that the area of ∆ABC is x, the area of ∆DEF can be found by multiplying the area of ∆ABC by the proportionality constant. Therefore, the area of ∆DEF is (1/9) x.
To summarize, the area of ∆DEF is (1/9) x, where x represents the area of ∆ABC. Thus, option A, (1/3) x, is the correct answer.
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the complete question is:
∆ABC is similar to ∆DEF. The scale factor between ∆ABC and ∆DEF is 1:3. If the area of ∆ABC is x, then find the area of ∆DEF. A.(1/3) x
B. 3x
C. (1/2)(9x)
D. 9x
Your math teacher spends 7/20 of his day at work grading papers. His working hours are from 7 a.m. to 4
p.m. How much time does your math teacher spend grading papers each day?
Answer:
9hr
Step-by-step explanation:
cause it just its easy
Answer:
3 hours and 15 mins
Step-by-step explanation:
first you have to find out how much 7/20 of an hour is which is 21 mins
then multiply it by the amount of time he works a day which is 9 hrs
21 x 9 = 189 mins
then convert 189 mins to hrs which is 3 hrs and 15mins
Anybody know how to solve this?? Pls lend a hand here lol !!
Steve hit eight and larry hit two
Please please help!!
Answer:
The explicit formula is [tex]a_{n}[/tex] = - 13 - 7n
Step-by-step explanation:
Let us at first find the type of the sequence
∵ The terms are - 20, - 27, - 34, - 41, ............
→ Find the difference between each to consecutive terms
∵ - 27 - (- 20) = - 27 + 20 = - 7
∵ - 34 - (- 27) = - 34 + 27 = - 7
∵ - 41 - (- 34) = - 41 + 34 = - 7
→ There is a constant difference between each two consecutive terms
∴ The sequence is Arithmetic
→ The explicit formula of the nth term of the arithmetic sequence is
[tex]a_{n}=a+(n-1)d[/tex], wherea is the first termd is the constant differencen is the position of the number∵ a = - 20
∵ d = -7
∴ [tex]a_{n}=-20+(n-1)(-7)[/tex]
→ Simplify it
∴ [tex]a_{n}[/tex] = - 20 + (-7)(n) - (-7)(1)
∴ [tex]a_{n}[/tex] = - 20 + (-7n) - (-7)
∴ [tex]a_{n}[/tex] = - 20 - 7n + 7
→ Add the like terms
∴ [tex]a_{n}[/tex] = (- 20 + 7) - 7n
∴ [tex]a_{n}[/tex] = - 13 - 7n
The explicit formula is [tex]a_{n}[/tex] = - 13 - 7n
What is the value of n?
1.8 x 10^12 = (2 x 10^5) (9x10^n)
Answer:
n = log ( 1.8⋅10 ^7/ 18 x )
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
n = log ( 1.8⋅10 ^7/ 18 x )
Hope This Helps
Sorry, I'm Late.
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Sandy's 8th grade class receives $13.50 for every 5 boxes of chocolates that they sell. Which graph shows this relationship with the same unit rate?
Answer:
See Explanation
Step-by-step explanation:
Incomplete Question: This question requires options
Let the amount received be represented with y
Let the number of boxes be represented with x
From the question, we have that:
x = 5 ; y = 13.50
Multiply the values of x and y by 2Similarly,
x = 10; y = 27
This gives:
[tex](x_1,y_1) = (5,13.5)[/tex]
[tex](x_2,y_2) = (10,27)[/tex]
The slope of the graph is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{27 - 13.5}{10 - 5}[/tex]
[tex]m = \frac{13.5}{5}[/tex]
[tex]m = 2.7[/tex]
The equation of the graph is calculated as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for m, x1 and x2
[tex]y - 13.5 = 2.7 * (x - 5)[/tex]
Open Brackets
[tex]y - 13.5 = 2.7x - 13.5[/tex]
Collect Like Terms
[tex]y = 2.7x - 13.5 + 13.5[/tex]
[tex]y = 2.7x[/tex]
The above equation can be used to determine the graph
See Attachment
Point M is located at ( 5 , − 1 ) (5,−1) on the coordinate plane. Point M is reflected over the y-axis to create point ′ M ′ . What ordered pair describes the location of ? M ′ ?
The ordered Pair that describes the location of M' is (-5,-1).
Given that a point M is located at (5,-1) on the coordinate plane and it is reflected over the y-axis to create point M'.
We know that when a point is reflected over the y-axis, the x-coordinate changes its sign. Hence the x-coordinate of M will become negative.
The formula for reflecting a point over y-axis is (x,y) → (-x,y)
Therefore, the coordinates of the new point M' would be (-5,-1).
Hence, the ordered pair that describes the location of M' is (-5,-1).
So, the correct option is D) (-5, -1).
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the midpoint method is commonly used to compute elasticity because itgroup of answer choicesuses the same formula that is used to compute slopegives the same answer regardless of the direction of changeall of the aboveautomatically computes a positive number instead of a negative number
The statement "the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change" is the correct option from the given options.
Generally, the midpoint method is used to calculate elasticity since it is not affected by the direction of change. As a result, the coefficient will be constant regardless of the direction of change.To calculate the slope of a straight line, the standard formula is used:
slope=change in y/change in x.
The slope of the line is the same whether we move from left to right or right to left because the numerator and denominator will have opposite signs, but the slope will always be the same.The same holds true for the concept of elasticity. Elasticity measures the responsiveness of one variable to changes in another variable. We use the same formula for the midpoint method:
elasticity=(change in Q/average Q)/(change in P/average P).
To compute elasticity, we must first determine the average values. The midpoint method calculates the elasticity by comparing two points, which is accomplished by taking the average of the two points. The denominator is the average price and quantity, which is the midpoint between the initial and final price and quantity. As a result, the numerator and denominator will have opposite signs, and the same elasticity will be calculated regardless of the direction of change.In contrast, using the standard method to calculate elasticity may yield differing results based on the direction of change. Because of the difference between the starting and ending points, the elasticity will be computed differently when moving from left to right versus right to left.
Thus, we can conclude that the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change.
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Your bank account has a balance of -$12.00. You withdraw (took out money in)$35. What is your new balance?
Group of answer choices
-$23.00
$47.00
-$47.00
$23.00
Answer:
= -$47.00
Step-by-step explanation:
Because -12-35=-47
c=zn+z solve for n please help me
Answer:
n = c/z
Step-by-step explanation:
c = zn + z
c/z = zn/z + z/z (Divide all terms by z)
c/z = n + z/z (Simplify)
c/z = n (Simplify further/answer)
Hope this helps :)
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1. Combine Like terms: 8x^2 + 2x^2 + 7x *
Step-by-step explanation:
8x^2 and 2x^2 are like terms
8x^2 + 2x^2 + 7x
= 10x^2 + 7x
Answer:
[tex]10x^2+7x[/tex]
Step-by-step explanation:
First let's identify the two terms: [tex]x^{2}[/tex] and [tex]x[/tex].
The equation isn't combined or simplified rather. To simplify/combine like terms, you add/subtract the identical terms together. So let's do just that.
[tex]8x^2+2x^2+7x\\10x^2+7x[/tex]
Your final answer is : [tex]10x^2+7x[/tex]
Answer as soon as possible, thank you
Answer:
C.
Step-by-step explanation:
Answer:
C - Definition of Right angle.
Step-by-step explanation:
It has that square. Which is only gives in right angles
what is 672x787=___?
Answer:
528864
Step-by-step explanation:
Your hospital has just reset the safety stock level for sleeping pills to be 220 pills.
If your hospital consumes an average of 1,155 per day with a standard deviation of 81 pills, what is the chance that your hospital will run out of sleeping pills on any day? (Keep four decimal places in your answer, which should be a number not a percentage)
The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).
To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.
First, let's calculate the Z-score using the formula:
Z = (X - μ) / σ
Where:
X = consumption rate per day (1,155 pills)
μ = average consumption rate per day (1,155 pills)
σ = standard deviation (81 pills)
Z = (1,155 - 1,155) / 81
Z = 0
Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.
We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.
To find the probability of running out of sleeping pills, we subtract this probability from 1:
Probability of running out of sleeping pills = 1 - 0.5000
Probability of running out of sleeping pills = 0.5000
Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.
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What is the quotient of -8 and -4?
Answer:
2
Step-by-step explanation:
[tex]\frac{-8}{-4} = \frac{8}{4}[/tex] [tex]\frac{8}{4}[/tex] = 8 ÷ 4 = 2I hope this helps!
Answer:
you answer is 2...
hope it helps
