Using the absolute value and PEMDAS order of operations, it is found that:
a) The missing expression for step 2 is: (36 + 2)/0.5 = − 14.8 ÷ 8.
b) The missing expression for step 6 is 76 - 1.85.
How to properly use mathematical operations?The absolute function is defined by:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
Thus, it usually measures the distance of a point x to the origin, hence |0.5| = |-0.5| = 0.5
In Step 2, we just have to apply the absolute value property to |-0.5|, and as such, the missing expression for step 2 is:
(36 + 2)/0.5 = − 14.8 ÷ 8.
For step 6, the division happens before the multiplication using PEMDAS order of operations and as such, the missing expression for step 6 is;
76 - 1.85.
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The missing steps are;
Step 1 the quantity of the sum of six squared plus two divided by the absolute value of negative 0.5 − 14.8 ÷ 8
Step 2
Step 3 the quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8
Step 4 the quantity thirty eight divided by 0.5 − 14.8 ÷ 8
Step 5 76 − 14.8 ÷ 8
Step 6
Step 7 74.15
Which graph represents the function f {x} = -log (x-1) + 1?
Graph A
Graph B
Graph C
Graph D
if a data line on a graph slopes down as it goes to the right, it is depicting that group of answer choices the relationship between the variables on
When a data line on a graph slopes down as it goes to the right, it is depicting that the relationship between the variables on the graph is inverse.
An inverse relationship is a kind of correlation between two variables, in which one variable decreases while the other increases, or vice versa. An inverse relationship happens when one variable increases while the other decreases, or when one variable decreases while the other increases.
On a graph, when a data line slopes down as it goes to the right, this is an indication that the relationship between the variables on the graph is inverse. As the values of x increase, the values of y decrease. Therefore, we can conclude that there is an inverse relationship between x and y.
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-20 = -4x - 6x
I need help solving it
Answer:
the answer is 2
Step-by-step explanation:
add -4x and -6x and the answer is -10x bc they are both negative x. then divide both -10x and -20 by -10 so that it is x by itself on one side and 2 on the other so its 2=x :)
the expected value of an unbiased estimator is equal to the parameter whose value is being estimated. true/false
The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.
An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.
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What is the slope of the line.
Answer:
-4/5
Step-by-step explanation:
The slope of the graph is -4/5. The slope is the change in y over the change in x. The y-value decreases by 4 and the x-value increases by 5. So the slope is -4/5. One visual way to check this is to remember that slopes that are fractions will make the line flatter, while numbers with absolute values greater than 1 make the slope steeper.
Find the surface area of the prism.
22 cm
7.5 cm
5.5 cm
i'm to lazy to bored trying to do my work and I'm also very dumm
SOLVE FOR X WILL GIVE BRAINLIEST
X^2=36/121
x₁ = 6/11
x₂ = - 6/11
Step-by-step explanation:Hi there !
x² = 36/121
x² = 6²/11²
x = ±√6²/11²
x = ± 6/11
x₁ = 6/11
x₂ = - 6/11
Good luck !
8a. Brian has $24 worth if pizzas delivered to his house for a $3 delivery fee.
He pays 7% sales tax and a 15% tip, which are both calculated on the total
price before the delivery fee. What is the total that will be added on to the
$24 pizzas? (This is the delivery fee, tax and tip)
Answer:
32.94
Step-by-step explanation:
24(.22) [Both Sales tax and tip.] = $5.28 Add to the 27. You get $32.28
Or, you could be estimating based on the delivery fee too. Which the would be this:
27(.22) = 5.94 + 27 = 32.94
Select the correct answer.
Which value of x makes the equation true?
x+7= -9
OA -16
OB. -2
Ос. 2
OD. 16
Reset
Next
Answer:
OB
Step-by-step explanation:
-2+7=-9
negative plus positive equal negative.
I hope this helps a bit
jada earned $50 babysitting and plans to use the money to go to the fair l.admission to the fair is $5 and each ride is $2.50.while at the fair she buys a funnel cake for $3.what is the maximum number of rides jada can ride?
Answer:
The maximum number of rides is 16
Step-by-step explanation:
She has a total of $50 and spends $3 for the cake and $5 for admission. She has to spend $2.50 for every ride.
Your equation would be set up as:
$50=$5+$3+$2.50x
You would combine like terms and get
$50=$8+$2.50x
Subtract the $8 from $50 and you get
$42=$2.50x
Divide each number by 2.50 and you get
16.8=x, you cannot have a decimal as an answer since she cannot ride eight tenths of a ride so the maximum number of rides is 16
Find the volume of a sphere with a diameter of 32mm
We want to find the volume of the sphere with a diameter of 32 mm.
The formule for obtaining the volume of a sphere is;
\(V=\frac{4}{3}\pi r^3\)Where r is the radius, the radius is half of the diameter, so ;
\(r=\frac{32}{2}=16\operatorname{mm}\)We can now calculate the volume as;
\(V=\frac{4}{3}\times\pi\times16^3\)\(V=17157.28\operatorname{mm}^3\)A group of 523 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?
(1 point) Solve the system -22 54 dx dt X -9 23 with the initial value -10 o x(0) = -3 z(t) = x
The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).
To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.
The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.
det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]
=> (-22 - λ)(23 - λ) - (54)(-9) = 0
=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0
=> λ^2 - 45λ + 162 = 0
Solving this quadratic equation, we find the eigenvalues:
λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))
λ = (45 ± √(2025 - 648)) / 2
λ = (45 ± √1377) / 2
The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.
Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.
For λ₁ = (45 + √1377) / 2:
(A - λ₁I)v₁ = 0
=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0
Solving this system of equations, we find the eigenvector v₁.
Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.
The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.
Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.
Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).
Since z(t) = x(t), the solution for z(t) is the same as x(t).
Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).
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The data below represent a random sample of weekly snowfall amounts, in inches, in a certain city. Assume that the population is approximately normal. 0 .8 1.8 0.8 1.1 .9 0.4 a. Calculate the sample mean
b. Calculate the sample standard deviation c. Construct a 90% confidence interval estimate for the population mean
the 90% confidence interval estimate for the population mean is approximately (0.333, 1.325).
a. To calculate the sample mean, we sum up all the values in the sample and divide by the sample size (number of data points). Let's perform the calculation:
Sample mean = (0 + 0.8 + 1.8 + 0.8 + 1.1 + 0.9 + 0.4) / 7 = 5.8 / 7 ≈ 0.829
Therefore, the sample mean is approximately 0.829.
b. To calculate the sample standard deviation, we need to find the average deviation of each data point from the sample mean. Here are the steps:
Step 1: Calculate the deviation of each data point from the sample mean:
Deviation = Data point - Sample mean
Step 2: Square each deviation:
Squared Deviation = Deviation^2
Step 3: Calculate the sum of squared deviations:
Sum of Squared Deviations = Σ(Squared Deviation)
Step 4: Calculate the sample variance:
Sample Variance = Sum of Squared Deviations / (Sample Size - 1)
Step 5: Take the square root of the sample variance to obtain the sample standard deviation.
Let's perform the calculations:
Deviation = (0 - 0.829), (0.8 - 0.829), (1.8 - 0.829), (0.8 - 0.829), (1.1 - 0.829), (0.9 - 0.829), (0.4 - 0.829)
Squared Deviation = \(Deviation^2\)
Sum of Squared Deviations = Σ(Squared Deviation) = (Deviation₁^2) + (Deviation₂^2) + ... + (\(Deviation_{7}^2\))
Sample Variance = Sum of Squared Deviations / (Sample Size - 1)
Sample Standard Deviation = √(Sample Variance)
Performing the calculations, we get:
Deviation = -0.829, -0.029, 0.971, -0.029, 0.271, 0.071, -0.429
Squared Deviation = 0.686, 0.001, 0.942, 0.001, 0.073, 0.005, 0.184
Sum of Squared Deviations ≈ 2.892
Sample Variance ≈ 2.892 / (7 - 1) ≈ 0.482
Sample Standard Deviation ≈ √0.482 ≈ 0.695
Therefore, the sample standard deviation is approximately 0.695.
c. To construct a 90% confidence interval estimate for the population mean, we can use the formula:
Confidence Interval = Sample mean ± (Critical value) * (Sample standard deviation / √Sample size)
The critical value depends on the desired confidence level and the sample size. For a 90% confidence level with a sample size of 7, the critical value is 1.894 (obtained from a t-distribution table or calculator).Let's calculate the confidence interval:
Confidence Interval = 0.829 ± (1.894) * (0.695 / √7)
Performing the calculations, we get:
Confidence Interval ≈ 0.829 ± (1.894) * (0.262)
Lower bound = 0.829 - (1.894) * (0.262)
Upper bound = 0.829 + (1.894) * (0.262)
Lower bound ≈ 0.829 - 0.496 ≈ 0.333
Upper bound
≈ 0.829 + 0.496 ≈ 1.325
Therefore, the 90% confidence interval estimate for the population mean is approximately (0.333, 1.325).
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Solve for c, if ∠EHG=201
∘
Please help and explain !
The value of c in the angles (-2c+86)° and (-4c+103)° is 5
What is sum of angle at a point?The sum of angle at a point is 360°. Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.
In the diagram the three angles are at a point. This means their sum is 360°. angle EHG = 201. therefore;
201+ (-4c+103)° + (-2c+86)° = 360°
= 201-4c+103-2c+86 = 360
= 390-6c = 360
- 6c = 369-390
-6c = -30
divide both sides by -6
c = 30/6 = 5
therefore the value of c = 5
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. Mrs. Nunn pours 3 juice boxes into a bowl to make punch. Each juice box holds 236 milliliters. How much juice does Mrs. Goldstein pour into the bowl? *
Answer:
708 milliliters
Step-by-step explanation:
There are 3 juice boxes and each contain 236 milliliters of juice. So 236 + 236 + 236 = 708
In this question, you will compute the variance of a geometric distribution with parameter p. (1) Recall the following Taylor expansion. "=1+r+ ir -1
To compute the variance of a geometric distribution with parameter p, we first need to understand the geometric distribution itself.
The geometric distribution represents the number of trials required for the first success in a sequence of Bernoulli trials, where each trial has a success probability of p.
The variance of a geometric distribution with parameter p can be calculated using the formula:
Variance = (1 - p) / p^2
Please note that the Taylor expansion "=1+r+ ir -1" you mentioned does not seem to be relevant to the calculation of the variance of a geometric distribution. The correct formula for the variance is provided above.
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the value of x is referring to the hypotenuse of the triangle and not the arc that the x is under
Given that the length of one of the sides of the triangle is the radius, the length of the other leg of the triangle is also 6 units.
Therefore, this is an instance of a 45-45-90 triangle. The value of x can now be solve by
Given that the side length of the 45-45-90 triangle is 6 units, the length of the hypotenuse x is
\(x=6\sqrt[]{2}\)Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?
Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?
Answer:
He can type 4.5/5 of a paragraph
Step-by-step explanation: Because there are 60 seconds in a mintune right. 2/3 of an hour=40 seconds. 1.5/5=20 seconds and 60 seconds=4.5/5
You randomly select a number from 0 to 39 (inclusively) and then randomly select a number from 0 to 9 (inclusively). What is the probability of selecting a 7 both times? The probability is (Type an integer or a decimal. Do not round.)
The probability of selecting a 7 on the first draw is 1/40, since there are 40 equally likely numbers to choose from. The probability of selecting a 7 on the second draw is 1/10, since there are 10 equally likely numbers to choose from. Since these events are independent, we can multiply the probabilities to find the probability of selecting a 7 both times:
1/40 * 1/10 = 1/400
So the probability of selecting a 7 both times is 1/400, or 0.0025.
To find the probability of selecting a 7 both times, we'll calculate the individual probabilities and then multiply them.
There are 40 numbers from 0 to 39 (inclusive) and only one of them is 7. So, the probability of selecting a 7 in the first draw is 1/40.
There are 10 numbers from 0 to 9 (inclusive) and again only one of them is 7. So, the probability of selecting a 7 in the second draw is 1/10.
Now, multiply the probabilities: (1/40) * (1/10) = 1/400.
The probability of selecting a 7 both times is 1/400.
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A random variable is a measurement to be taken in a probability experiment. an observed value of a random variable is the measurement that has been taken. a discrete random variable is a random variable in which there is a countable collection of possible observed values. that is:___________
The possible observed values of a discrete random variable can be listed in a countable collection. A random variable is a measurement to be taken in a probability experiment.
An observed value of a random variable is the measurement that has been taken. A discrete random variable is a random variable in which there is a countable collection of possible observed values. That is, the discrete random variable can only take on specific values within a given range, and the probability associated with each value can be calculated. This countable collection of possible observed values is finite or countably infinite, and the probabilities sum up to 1.
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Is negative 2 greater than, less than or equal to 1/2?
Answer:
Less than :)
Step-by-step explanation:
Answer:
I believe 2 would be greater think of a numberline
Step-by-step explanation:
1/2 is like half of a number. On a numberline 2 would come after 1/2
Hope it helps have a good day
Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.
How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?
Answer:
78 minutes
Step-by-step explanation:
72/12=6
6*13=78
A popular brand of decorative clay floor tile is priced at $7 per square until a surge in supply forces the price, for a short time, down to $3. drag the appropriate curve(s) to show the effect of the price drop.
The new equilibrium price is $3.
How to solve thisGiven that:
The initial equilibrium price is $7 and at the initial equilibrium, Si intersects with the Dsr curve.
A surge in supply causes the supply curve to move rightward from S1 to S2.
The new short-run equilibrium occurs where S2 intersects the Dsr curve
Therefore, the new equilibrium price is $3.
See attached image below;
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two numbers are in a ratio 2:3 and their sum is 35.find the numbers
Answer:
14 and 21 is the answer
Step-by-step explanation:
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Answer:
\( \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}\)
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
\( \sf{2x + 3x = 35}\)
Solve for x.
Collect like terms
\( \dashrightarrow{ \sf{5x = 35}}\)
Divide both side by 5
\( \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}\)
Calculate
\( \dashrightarrow{ \sf{x = 7}}\)
The value of x is 7.
Now, replacing the value of x in order to find the two numbers :
\( \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}\)
\( \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}\)
The numbers are : 14 and 21
Hope I helped!
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1. Carly bought 7 folders that cost $0.15 cents each and 2 packages of pens
that cost $1.50 each. What is the total cost in dollars and cents of the folders
and pens, not including tax?
the correct answer is 4.05
Help Please???
An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
1. daily earnings of the amusement park after one $2 increase
daily earnings before any $2 increases
number of tickets sold before any $2 increases
2. price of a ticket after x increases of $2
number of tickets sold after x increases of $2
number of tickets sold before any $2 increases
Answer:
THE COMMENT IS CORRECT
Step-by-step explanation:
Thanks, man.
Answer:
Use the given information to complete the sentences.
The constant of the polynomial expression represents the
daily earnings of the amusement park before any $2 increases
in the price of a ticket.
The binomial is a factor of the polynomial expression and represents the
number of tickets sold after x increases of $2
in the price of a ticket.
Step-by-step explanation:
What is the value of y?
Answer:
Step-by-step explanation:
(12,5)
Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)
p(x)=8x^2
g(x) = x^2
Answer:
Step-by-step explanation:
p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8) on the y axis and rises steeply to the right.
g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).
and opens upwards either side of the y-axis. This type of curve is called a parabola.
plsssssssssssssssssss
Answer: it is 8.5*10^5 (or third one)