solve the equation for y then find the value of y for each value of x. y + 3x equals 10 and x equals -1, 0, 4 ​

Answer:

The number of soldiers that call out a number 3 is 666 soldiers

Step-by-step explanation:

The parameters given are;

Number of soldiers = 2000

Soldiers calling from the left = 1, 2, 3,.....

Soldiers calling from the right = 1, 2, 3,.....

Therefore, since the number soldiers calling out the number 3 are 1 in 3 from the left and 1 in 3 from the right, we split the soldiers into 2 groups of 1000, with one group calling from left and the other group calling from the right;

The number of 3s in called out in the first group from the left is therefore;

1000/3 = 333.33 which is 333 soldiers  or from the 3rd soldier to the 999th soldier

Similarly the number of 3s called out from the second group = 333

Hence the total number of soldiers that call out a number 3 = 333 + 333 = 666 soldiers.

The thickness measurements of the metal pieces should be centered around a mean value, with the majority of the measurements falling within a certain range and then tapering off towards the tails of the distribution.

Measuring the thickness of pieces of metal with the same dimensions using a micrometer/caliper due to variability in the dimensions caused by errors during the manufacturing process. The distribution of the measurements taken by the entire lab section is expected to resemble a normal distribution, also known as a Gaussian distribution or bell curve.

The reason for this expectation is that the manufacturing process may introduce small, random errors that affect the dimensions of the metal pieces. The central limit theorem states that, given a large enough sample size, the distribution of these random errors will approximate a normal distribution.

The thickness measurements of the metal pieces should be centered around a mean value, with the majority of the measurements falling within a certain range and then tapering off towards the tails of the distribution.

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Answer:

100/250*100= 40%

Step-by-step explanation:

40%

2 1/2m = 250 cm

250cm .............100%

100cm ..................x%

x = 100cmx100%/250 cm

= 10000%/250

= 40%

Ratio:-

#2

Ratio:-

#3

Ratio of Chris=4:5

If we take decimals

Approximately they are equal

#A

Ratio:-

#B

Ratio:-

#C

Percentage:-

\(\\ \rm\rightarrowtail \dfrac{2}{5}(100)=2(20)=40\%\)

#D

Ratio for Chris=4:5

The value of \(\( f(g(h(2))) \)\) is 0. We evaluate the nested functions by substituting the given values step by step, starting with \(\( h(2) \),\) then \(\( g(h(2)) \),\) and finally \(\( f(g(h(2))) \).\)

To determine the value of \(\( f(g(h(2))) \),\) we need to substitute the value 2 into the functions \(\( h(x) \), \( g(x) \), and \( f(x) \)\) in a specific order.

First, let's evaluate \(\( h(2) \). \( h(x) = \frac{1}{x} \),\) so \(\( h(2) = \frac{1}{2} \).\)

Next, we substitute the result of \(\( h(2) \)\) into \(\( g(x) \). \( g(x) = \sqrt{2x} \),\) so \(\( g(h(2)) = g\left(\frac{1}{2}\right) = \sqrt{2\left(\frac{1}{2}\right)} = \sqrt{1} = 1 \).\)

Finally, we substitute the result of \(\( g(h(2)) \)\) into \(\( f(x) \). \( f(x) = x^2 - 1 \),\) so \(\( f(g(h(2))) = f(1) = 1^2 - 1 = 0 \).\)

Therefore, the value of \(\( f(g(h(2))) \) is 0.\)

The given functions are \(\( f(x) = x^2 - 1 \), \( g(x) = \sqrt{2x} \), and \( h(x) = \frac{1}{x} \).\)

We start by evaluating \(\( h(2) \),\) which gives us \(\(\frac{1}{2}\).\)

Next, we substitute this value into \(\( g(x) \)\) to get \(\( g(h(2)) = g\left(\frac{1}{2}\right) = \sqrt{2\left(\frac{1}{2}\right)} = \sqrt{1} = 1 \).\)

Finally, we substitute the result \(\( g(h(2)) = 1 \)\) into \(\( f(x) \) to get \( f(g(h(2))) = f(1) = 1^2 - 1 = 0 \).\)

Therefore, the value of \(\( f(g(h(2))) \)\) is 0.

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The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

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Answer:

Step-by-step explanation:

y=kx

7/4=1.75

6/4=1.5

The equation in the form y =kx will be as y = 7/4 x .

Proportional the type of relationships between two variables where their ratios are equivalent.

In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.

A proportional relationship between the variables x and y is written as:;

y=k.x

For the given problem, y represents the cups of water needed for making x loaves of French bread.

We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;

7=k.4

Solving for k:

k = 7/4

The equation to model the problem;

y = 7/4 x

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We require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

Given that,

Assume that a sample size of 15 will be used to calculate a 95% confidence interval for the population mean.

We have to find how many degrees of freedom should we utilize.

We know that,

The answer to the problem is

A 95% confidence interval is being created.

The sample size is 15 (<30). Therefore, in order to account for the decreased sample size and use the sample SD, we must adapt and use a t-value rather than a Z score.

As a reflection of sample size, it should be noted that the t-value is dependent on the degrees of freedom (df). df = n-1 is the formula used to calculate a confidence interval using the t-distribution.

Therefore, we require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

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The diagonals of a square are equal to each other

Let ABCD be a square.

We need to prove that the diagonals are equal to each other

AC=BD and AC and BD bisect each other at right angles

(i) Considering the ΔABC and ΔBAD,

AB=AB ( common line)

BC=AD ( opppsite sides of a square)

∠ABC=∠BAD ( = 90° )

ΔABC≅ΔBAD( By SideAngleSide property)

AC=BD ( by CPCT).

(ii) Now in triangles ΔOAD and ΔOCB,

AD=CB ( opposite sides of a square)

∠OAD=∠OCB ( transversal AC )

∠ODA=∠OBC ( transversal BD )

ΔOAD≅ΔOCB (ASA property)

OA=OC ---------(i)

Similarly OB=OD ----------(ii)

From (i) and (ii)  we can conclude that AC and BD bisect each other.

Now in a ΔOBA and ΔODA,

OB=OD ( from (ii) )

BA=DA

OA=OA  ( common line )

ΔAOB=ΔAOD----(iii) ( by CPCT

∠AOB+∠AOD=180°  (linear pair)

2∠AOB=180°

∠AOB=∠AOD=90°

Therefore, it is proved that AC and BD bisect each other at right angles.

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The sum of the algebraic expressions (–2.1x + 3.7) and (5 + 4.9x) as required in the task content is; Choice C; 2.8x + 8.7.

It follows from the task content that the sum of the algebraic expression given is to be determined.

Therefore, we have;

(–2.1x + 3.7) + (5 + 4.9x)

= -2.1x + 4.9x + 3.7 + 5

= 2.8x + 8.7.

Ultimately, the sum of the given algebraic expressions is; 2.8x + 8.7.

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Answer:

ITS C

Step-by-step explanation:I JUST TOOK THE TEST AND GOT A 100

sorry caps

Let length be x

ATQ

\(\\ \sf\longmapsto 2(Length+Width)=124\)

\(\\ \sf\longmapsto 2(x+35)=124\)

\(\\ \sf\longmapsto 2x+70=124\)

\(\\ \sf\longmapsto 2x=124-70\)

\(\\ \sf\longmapsto 2x=54\)

\(\\ \sf\longmapsto x=\dfrac{54}{2}\)

\(\\ \sf\longmapsto x=27m\)

The 98% confidence interval for the mean amount of money customers spend at Starbucks is ($5.45, $6.15). This means that we are 98% confident that the true mean amount of money customers spend at Starbucks is between $5.45 and $6.15

Amount is the quantity or magnitude of something, typically a sum of money. It is often used in financial contexts, such as when referring to the sum of money paid for a purchase or a loan. Amount is also used in other contexts, such as when speaking of the amount of time spent on a task or the amount of food needed to feed a group of people.

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Answer:

cherry

Step-by-step explanation:

its really good

Answer:

Step-by-step explanation:

1. =6.1*105

=6.1*(10*10*10*10*10)

=610000

2. =0.43*10−2

=0.43* 1 /10*10

=0.0043

3. 2.1(104)

=2.1*104

=2.1*(10*10*10*10)

=21000

Answer:

below

Step-by-step explanation:

#1:) 610,

#2:) 4300

for thousand three hundred

#3:) 21,000

(I belive that's it)

Answer:

y=-2x+6

Step-by-step explanation:

For this question, you need the slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. We should first find the slope of the equation. The slope is the rise-over-run; this means that the slope is equal to the difference in y over x. One way to find the slope is to count the difference between the two coordinates or you can use the formula. Either way, the y decreases by 2, and the x increases by 1. Therefore, the slope is -2.

Then, find the intercept. One way to do this by plugging in one of the coordinates into the equation we have so far, y=-2x+b. So, plug 4 in for y and 1 in for x; 4=-2(1)+b. Next, solve for b. This equals b=6.

Finally, plug in the slope and intercept for the final answer, y=-2+6.

Answer:

im sorry i dont remember that one

Step-by-step explanation:

Answer: hmmm can we see the answer choices because I think I. Ight know the answer

Step-by-step explanation:

Answer:

1 / (x+5)

Step-by-step explanation:

Factor the denominator

(x+1)/ (x+5)(x+1)

Cancel both (x+1)

=1/(x+5)

190 players must be surveyed when randomly picked from the given standard deviation population of college basketball players.

The given data is as follows:

The standard deviation of the population  (σ) = 3.1 inches

The error margin of the players (E) = 0.58

Confidence interval estimation = 99%

The sample size of the population is determined by using the formula,

n = [(Zcrit * σ) / E]²

Z critical at 99% confidence interval = 2.576

n = [(2.576 * 3.1) / 0.58]²

n = [7.9856 / 0.58]²

n = (13.76)^2

n = 189.56

Sample size (n) = 190 samples players must be surveyed

Therefore, we can conclude that 190 players must be surveyed when randomly selected.

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Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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The Length of AD is 78 cm.

From the figure, G is Centroid.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

The centroid of the triangle separates the median in the ratio of 2: 1.

Centroid divides median in the ratio 2:1 .

As per the given data AG = 52

2 parts is 52 .

3 parts is (52 × 3 )/2= 78

Therefore, the length of AD is 78.

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Answer:

3.375 pounds.

Step-by-step explanation:

Total number of pounds of pecans =

2 1/2 pounds of pecans + 4 3/8 pounds + 3.25 pounds

= (6.875 + 3.25) pounds

= 10.125 pounds.

The total number of person = 3 person.

Therefore, the number of pounds each person would shell =

10.125 pounds/3

= 3.375 pounds

Answer:

x=-2

Step-by-step explanation:

3(8x+12)-15x=2(3-3x)

24x+36-15x=2
(3-3x

answer:

the question is confusing but

the recipe will make: 12 cupcakes

by adding

hope this helped <3

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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