Estimate the difference. 9 1/2 - 1 6/7

The function rule for the equation y = -5x - 1 is

(x,y) ⇒ (0,-1) , (-1,4) , (3,-16)

In a mathematical equation independent variable is set by us to examine the give equation or function how it is behaving or it's value for a specific value being set by us.We can also think of independent variable as the input to a function and dependent variable as the output.

According to the given question

y = -5x -1 the table is illustrated below

x    -2    -1     0     1      2     3  

y     9     4    -1    -6    -11    -16

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The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

What is probability?

When we do not really know how something will turn forth, we can talk about the probability of one outcome or the likelihood of several.

Given that,

the coin is flipped = 2,500 times.

heads =1,223 times and tails= 1,277 times.

and

A die was rolled = 60 times

one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times.

The empirical probability of flipping heads on the coin AND rolling a four on the die = (1223/2500) + (8/60)

=0.623

The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

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Answer: 15 miles, 26400 yards, 79200 feet, 950400 inches 2414016 centimeters

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

..

<( (>GOOD LUCK CHARLIE

/ \

_ _

Answer:

-510 degrees and -210 degrees :)

Step-by-step explanation:

An angle is a figure created by two rays. The measure of the angle can be written as 150° or -210°.

An angle is a figure created by two rays, known as the sides of the angle, that have a common terminus, known as the vertex of the angle. Angles created by two rays lie in the plane containing the beams.

The measure of the angle measured from the positive x-axis in an anticlockwise direction will be,

\(\theta = 180^o-30^o = 150^o\\\\\)

The measure of the angle measured from the positive x-axis in clockwise direction will be,

\(\theta = 180^o+30^o = -210^o\)

Hence, the measure of the angle can be written as 150° or -210°.

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The probability of this occurring is around 0.0714.

In order to determine the likelihood that an adolescent would play the lead role in each of Britney's four films, we must take into account both the total number of possible outcomes and the number of favourable possibilities.

There are 8 films scheduled in total.

Five films have had a teenager as the primary character.

Calculating the ratio of the number of favourable outcomes—all four films with teenagers—to the entire number of possible outcomes—any four films—will help us determine the probability.

The combination formula, sometimes referred to as "n choose r," shows how many different methods there are to choose 4 films from the available 8 options:

\(C(n, r) = n! / (r! * (n - r)!)\)

In this case, we want to select 4 movies out of the 5 movies featuring a teenager:

\(C(5, 4) = 5! / (4! * (5 - 4)!) = 5\)

The total number of ways to select any 4 movies out of the 8 total movies is:

\(C(8, 4) = 8! / (4! * (8 - 4)!) = 70\)

Therefore, the likelihood that a teenager will play the lead role in each of the four films that Britney cleans up after is:

Probability is calculated as follows: 5 / 70 (rounded to four decimal places) = 0.0714 (Number of favourable outcomes / Total number of probable outcomes).

Therefore, the chance is around 0.0714.

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Answer:

a+2

Step-by-step explanation:

Answer:

the answer is 3a

Step-by-step explanation:

first you have to think about  pemdas which means you have to do parenthises first so 2a+4=6a and then 6a multiplied by 1/2 wich eqauls 3 and then you add the a and now you have you have your final answer.

Answer:

  x = 4 5/6

Step-by-step explanation:

The fractions have denominators of 4 and 8. The least common multiple of these is 8, so we can eliminate fractions by multiplying both sides of the equation by 8.

  8(3/4x -3) = 8(5/8)

  6x -24 = 5 . . . . . . . . . eliminate parentheses

  6x = 29 . . . . . . . . add 24

  x = 29/6 = 4 5/6 . . . . divide by 6

The solution is x = 4 5/6.

__

Check

Substituting 26/6 for x, we get ...

  (3/4)(29/6) -3 = 5/8

  29/8 -3 = 5/8

  (29 -24)/8 = 5/8 . . . . . true

Answer:

For question 9: angles T and Q

For question 10: Line JF and line IH

Step-by-step explanation:

Answer:

C. - 1 and 0 only

Step-by-step explanation:

(x + 1) / x = 0, - 1, 2

inflection points / when sign Changes

+  /   -   /  +       /  +

"- 1 "   "0"      2

  ^      ^

"Hope this helps"

The graph of f has inflection points when x = 0 and -1.

Given that,

If graph =  f"(x) = x(x + 1)(x - 2)^2

We have to determine,

The graph of f has inflection point when x is.

According to the question,

Inflection point is the point in which the rate of slope changes in increasing to decreasing order or vice versa.

These points are generally not local maxima or minima but stationary points.

\(f''(x) = 0\)

Therefore,

The graph of f has inflection point at,

\(f''(x) = x (x+1) (x-2)^{2} = 0\\\\x = 0 \ and \ x+1 = 0 \ \ = x = -1\\\\ or \ x-2 = 0 , \\\ \ \ = x =2\)

On taking intersection of these points,

The graph has inflection points at x = 0 and -1.

Hence, The graph of f has inflection points when x = 0 and -1.

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The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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A and B have 2 significant

A 90% confidence interval for µ is (8.92, 9.28).

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

The formula for a confidence interval for the population mean is:

CI = x ± z * (σ / sqrt(n))

where x is the sample mean, σ is the population standard deviation, n is the sample size, z is the z-score associated with the desired confidence level, and CI is the confidence interval.

Given the values provided:

c = 0.90

x = 9.1

σ = 0.6

n = 45

First, we need to find the z-score associated with a 90% confidence level. We can use a standard normal distribution table or a calculator to find that z = 1.645.

Then, we can plug in the values and calculate the confidence interval:

CI = 9.1 ± 1.645 * (0.6 / sqrt(45))

= 9.1 ± 0.176

= (8.92, 9.28)

Therefore, a 90% confidence interval for µ is (8.92, 9.28).

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Answer:

rates of change, positive or negative

Step-by-step explanation:

Answer:

okay I would say 1/4

Step-by-step explanation:

the originally eight letters, and then you take one out so there's seven and then your chances of getting the I are two so that's 2/7. then there's only one consonant the R so 1/4.

Answer:

(a) and (b) are not true in general. Refer to the explanations below for counterexamples.

It can be shown that (c) is indeed true.

Step-by-step explanation:

This explanation will use a lot of empty sets \(\phi\) just to keep the counterexamples simple.

Note that \(A \cap B\) can well be smaller than \(A\). It should be alarming that the question is claiming \(A\!\) to be a subset of something that can be smaller than \(\! A\). Here's a counterexample that dramatize this observation:

Consider:

The intersection of an empty set with another set should still be an empty set:

\(A \cap B = \left\lbrace 1\right\rbrace \cap \left\lbrace\right\rbrace = \left\lbrace\right\rbrace\).

The union of two empty sets should also be an empty set:

\(((A \cap B) \cup C) = \left\lbrace\right\rbrace \cup \left\lbrace\right\rbrace = \left\lbrace\right\rbrace\).

Apparently, the one-element set \(A = \left\lbrace 1 \right\rbrace\) isn't a subset of an empty set. \(A \not \subseteq ((A\cap B) \cup C)\). Contradiction.

Consider the same counterexample

Left-hand side:

\((A \cup B) \cap C = \left(\left\lbrace 1 \right\rbrace \cup \left\lbrace \right\rbrace\right) \cap \left\lbrace 2 \right\rbrace\right = \left\lbrace 1 \right\rbrace \cap \left\lbrace 2 \right\rbrace = \left\lbrace \right\rbrace\).

Right-hand side:

\((A \cap B) \cup C = \left(\left\lbrace 1 \right\rbrace \cap \left\lbrace \right\rbrace\right) \cup \left\lbrace 2 \right\rbrace\right = \left\lbrace \right\rbrace \cup \left\lbrace 2 \right\rbrace = \left\lbrace 2 \right\rbrace\).

Apparently, the empty set on the left-hand side \(\left\lbrace \right\rbrace\) is not the same as the \(\left\lbrace 2 \right\rbrace\) on the right-hand side. Contradiction.

Part one: show that left-hand side is a subset of the right-hand side.

Let \(x\) be a member of the set on the left-hand side.

\(x \in (A \backslash B) \cap C\).

\(\implies x\in A \backslash B\) and \(x \in C\) (the right arrow here reads "implies".)

\(\implies x \in A\) and \(x \not\in B\) and \(x \in C\).

\(\implies (x \in A\cap C)\) and \(x \not\in B \cap C\).

\(\implies x \in (A \cap C) \backslash (B \cap C)\).

Note that \(x \in (A \backslash B) \cap C\) (set on the left-hand side) implies that \(x \in (A \cap C) \backslash (B \cap C)\) (set on the right-hand side.)

Therefore:

\((A \backslash B) \cap C \subseteq (A \cap C) \backslash (B \cap C)\).

Part two: show that the right-hand side is a subset of the left-hand side. This part is slightly more involved than the first part.

Let \(x\) be a member of the set on the right-hand side.

\(x \in (A \cap C) \backslash (B \cap C)\).

\(\implies x \in A \cap C\) and \(x \not\in B \cap C\).

Note that \(x \not\in B \cap C\) is equivalent to:

However, \(x \in A \cap C\) implies that \(x \in A\) AND \(x \in C\).

The fact that \(x \in C\) means that the only possibility that \(x \not\in B \cap C\) is \(x \not \in B\).

To reiterate: if \(x \not \in C\), then the assumption that \(x \in A \cap C\) would not be true any more. Therefore, the only possibility is that \(x \not \in B\).

Therefore, \(x \in (A \backslash B)\cap C\).

In other words, \(x \in (A \cap C) \backslash (B \cap C) \implies x \in (A \backslash B)\cap C\).

\((A \cap C) \backslash (B \cap C) \subseteq (A \backslash B)\cap C\).

Combine these two parts to obtain: \((A \backslash B) \cap C = (A \cap C) \backslash (B \cap C)\).

Answer:

52%

Step-by-step explanation:

52 out of 100 grids are shaded ⇔ 52%

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Option (a) T2 = identity transformation. (b) The kernel of T is the zero matrix. (c) Every matrix is in the range of T. this are true extra properties.

The transformation T that transposes every matrix is indeed linear.

Let's analyze each of the extra properties:

(a) T² = identity transformation: This is true. When you transpose a matrix twice (apply T twice), you get the original

matrix back.

Step 1: Apply T to a matrix M to get its transpose M'.

Step 2: Apply T to the transpose M' to get (M')' which is equal to M.

(b) The kernel of T is the zero matrix: This is true. The kernel of T consists of all matrices M such that T(M) = 0. Since the

transpose of a zero matrix is still a zero matrix, the kernel of T only contains the zero matrix.

(c) Every matrix is in the range of T: This is true. Given any matrix M, there exists another matrix M' such that T(M') = M.

This is because T(M') = M implies M' = T(M), so the transpose of any matrix M can be found by applying T to M.

(d) T(M) = -M is impossible: This is false. It is possible for T(M) = -M in the case of skew-symmetric matrices. A skew

symmetric matrix M satisfies the property that its transpose M' = -M.

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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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Answer:

5% of $22 is $1.10.

22+1.10=23.10

23.10 is less than 24

Step-by-step explanation:

Step-by-step explanation:

In order to get the answer first you figure out the type of equation. In this case this is a linear equation, y=mx+b

The B or the y-intercept/base is the first step. Here, it says a fee of 14.50 is needed for each order.

The mx part will be the .08 cents needed for each copy.

y= .08x+14.50 is the equation....

The copies needed is 40 which is the x in the situation:

y=.08(40)+14.50....

.08 * 40 is 3.2 then add the base of 14.50 which is: 17.70 all together

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

he will eat 35/64  of the whole pie

Step-by-step explanation:

i hope i helped