you work in a pharmacy that mixes different concentrations of saline solutions for its customers. the pharmacy has a supply of two concentrations, 4% and 0.75%. using the function below, how many milliliters of 0.75% saline solution must be added to 100 mL of 4% saline solution to get a 0.9% solution

Answer:

60 cm

Step-by-step explanation:

2x the width and 2x the length gives you the perimeter. This can be represented by the equation:

2w + 2L = P

Use the information given in the word problem to fill in the variables.

2(59) + 2L = 238

118 + 2L = 238

move 118 to the other side of the equation.

2L = 238 - 118

2L = 120

move 2 to the other side of the equation.

L = \(\frac{120}{2}\)

L = 60

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Answer:

Slope is 1/5
y intercept is (0,0)

The distribution of X can be approximated by a normal distribution with mean 0.705 and standard deviation 0.033.

\

Probability theory, a subfield of mathematics, quantifies the likelihood that an event will take place or that a statement is true. The probability for an event happening is a number between 0 and 1, where around 0 indicates how likely the occurrence is to occur and 1 indicates certainty. A value of probability is a mathematical representation of the likelihood that a certain event will occur. The range of percentages that can be used to indicate probabilities is 0% to 100% along with 0 to 1. the probability of occurrences in a whole collection of identically probable possibilities that results in a certain occurrence divided by the number of outcomes.

given,

That's correct. By the central limit theorem, the sample proportion X, which represents the proportion of fully vaccinated residents in the sample, will follow an approximately normal distribution with mean equal to the population proportion (p) and standard deviation equal to the square root of [(p)(1-p)/n], where n is the sample size.

In this case, p = 0.705 (70.5% expressed as a decimal), and n = 250. Therefore, the mean of the sample proportion distribution is:

μ = p = 0.705

And the standard deviation is:

σ = √[(p)(1-p)/n] = √[(0.705)(0.295)/250] = 0.033

So the distribution of X can be approximated by a normal distribution with mean 0.705 and standard deviation 0.033.

We can use this distribution to calculate probabilities or confidence intervals for the sample proportion of fully vaccinated residents in different scenarios.

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Given

To shift an equation 9 units to the right, you have to subtract 9 from the x-term of the equation.

To make the transformation easier, you can write the equation using function notation:

Subtract 9 to the x-term of the function:

Once you have performed the transformation, you can write the result as an equation:

5 in ³

1) Given that dimensions and since that box has the shape of that prism, we can write:

V =a.b.c

V = 3 x 1 x 5/3

V = 15/3

V = 5 in³

2) So the Volume for that box, is 5 cubic inches

1) The point ( 0,-2) will lie on the negative y- axis. because its x coordinate is 0 and y is -2.

Answer: option b)

2) Abscissa of all the points on x- axis is any number. because x-axis is anumber line which contains many real numbers on it.

Answer: option d)

3) Ordinate of all points on x- axis is 0

Answer: option a)

4) Abscissa of all the points on y- axis is 0. bacause distance from y- axis is called abscissa. so, in this case the distance is 0.

Answer: option a)

5) Ordinate of all points on y- axis is any number.

Answer: option d)

6) A points whose both coordinates are negative will lies in 3rd quadrant

7) A points whose both coordinates are positive will lies in 1st quadrant

Answer: option a)

8) If y- coordinate is always zero then this point will lie in x- axis.

Answer: c)

9) If x- coordinate is always zero then this point will lie in y- axis.

Answer: d)

10) The given points do not lie in same quadrant. because the sign of the coordinate is different.

Answer: d)

11) All the coordinates lie in 4th quadrant because its x coordinate is positive and y coordinate is negative.

Answer : c)

12) The point (-5,2) lie in 2nd qudran and point ( 2,-5) lie in 4th qudrant.

Answer: c)

13) The ordinate means y- coordinate. and the point whose point ordinate is 4 and it lies on axis. is the coordinate ( 0, 4 )

Answer: b)

14) The abscissa of point is positive in first and fourth quadrant.

Answer: b)

15) The perpendicular distance of point to y- axis is x-coordinate.

Answer: a)

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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The value of y is 48.

To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.

Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:

m∠JSL = m∠HSL + m∠LSJ

Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:

4y - 10 = (y + 43) + (y + 43)

Simplifying the equation:

4y - 10 = 2y + 86

Subtracting 2y from both sides:

2y - 10 = 86

Adding 10 to both sides:

2y = 96

Dividing both sides by 2:

y = 48

Therefore, the value of y is 48.

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Answer:

17 - (2 / x)

Step-by-step explanation:

because it is being subtracted from 17. that goes first, and then x is being divided by 2.

Hope this helps!

Answer:

17 - (2 / x)

Step-by-step explanation:

i just did it and got a 100%

66 neither transverse or parallel It's extra, in my opinion.

Parallel lines are 2 different geometrical lines that are situated in the same plane and never cross each other. They may be vertical or horizontal. In our daily lives, parallel lines can be seen in the form of zebra crossings, rows of notebooks, and the nearby railroad tracks.

Keep in mind that two lines are parallel if their y-intercepts differ and they have equal slopes. To put it another way, parallel slopes are the negative reciprocals of one another.

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Answer:

3.002 * 10⁵

Step-by-step explanation:

3 * 10⁵ = 3 * 10³ * 10² = 3000 *10²

3 * 10⁵ + 2* 10² = 3000 * 10² + 2*10²

                        = (3000 + 2) * 10²

                       = 3002 * 10²

                       = 3.002 * 10³ * 10²

                      = 3.002 * 10⁵

Answer:

Hello,

Answer: B   : y=(m-3)*(x+1)²3

Step-by-step explanation:

The parabola with vertex (-1,3)

is y=k(x+1)²+3

(0,m) is a point of the parabola:

m=k*(0+1)²+3 ==> k=m-3

So, y=(m-3)*(x+1)²+3 is the correct equation.

The brace measures 50 inches in length.

The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side opposite the right angle, equals the sum of the squares on the legs of the triangle, a2 + b2 = c2.

The other two sides of the picture frame are its length and width. We thus have:

Length of the hypotenuse (brace)² = Length² of the picture frame + Width² of the picture frame

Let's enter the picture frame's specified dimensions:

Length of the brace² = 30² + 40²

Length of the brace² = 900 + 1600

Length of the brace² = 2500

Taking the square root of both sides, we get:

Length of the brace = √(2500)

Length of the brace = 50

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Answer:

tăng lên 5.000 nghìn đồng

Step-by-step explanation:

mỗi chuyến bay có 0.5% hành khách mất hành lí

mỗi người đòi bồi thường 1.000.000 đồng

do đó vẽ mỗi người tăng lên :0.5%×1.000.000=5.000

Answer:

$117.00

Step-by-step explanation:

-earns $7.00 per hour as a cashier

-earns $6.00 per hour as a bagger

-earns $5.00 per hour as a stocker

-works 4 hours as a cashier

-works 9 hours as a bagger

-works 7 hours as a stocker

First, find the amount of money earned in the week while working as a cashier.  We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week.  Therefore, we need to multiply the amount of money made per hour by the amount of hours worked in a week.:

$7.00/hr * 4 hrs=$28.00 made as a cashier

Next, find the amount of money Surge made as a bagger.  Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:

$6.00/hr * 9 hrs=$54.00 made as a bagger

Then, find the amount of money made as a stocker.  It's the same as everything else, just that Surge know earns $5.00 per hour and he works 7 hours as a stocker.  So, do the last set of multiplication:

$5.00/hr * 7hrs=$35.00 made as a stocker

Finally, the question asks for the average amount of money made per week, so add up all you calculations to get that average amount:

$28.00+$54.00+$35.00=$117.00

Surge makes an average of $117.00 in a given week.

The serge average pay per hour will be $117.00.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that earns $7.00 per hour as a cashier, earns $6.00 per hour as a bagger, earns $5.00 per hour as a stocker, and works 4 hours as a cashier -works 9 hours as a bagger -works 7 hours as a stocker.

First, find the amount of money earned in the week while working as a cashier.  We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week.  Therefore, we need to multiply the amount of money made per hour by the number of hours worked in a week.:

$7.00/hr  x  4 hrs=$28.00 made as a cashier

Next, find the amount of money Surge made as a bagger.  Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:

$6.00/hr x 9 hrs=$54.00 made as a bagger

Then, find the amount of money made as a stocker.  It's the same as everything else, just that Surge now earns $5.00 per hour and he works 7 hours as a stocker.  So, do the last set of multiplication:

$5.00/hr x  7hrs=$35.00 made as a stocker.

Finally, the question asks for the average amount of money made per week, so add up all your calculations to get that average amount:

$28.00+$54.00+$35.00=$117.00

Therefore,  the serge average pay per hour will be $117.00.

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Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

The S subject formula of the given expression will be given as s = tk/2p.

In order to find the S subject formula, we have to make the equation equal to s. This can be done by first making the equation in mathematical form and then taking s on one side and the other terms on the other side.

The equation given in the question is t = 2p (s ÷ k) which can also be written as t = 2p (s/k). Now, in order to make the s formula of the given expression we first cross multiply k on the left-hand side.

tk = 2p (s)

Now, we divide the expression 2p on the left-hand side.

tk/2p = s

=> s = tk/2p

This expression gives us the S formula.

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Step-by-step explanation:

come on join here

xza-asbf-pha

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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Step-by-step explanation:

7! = 5040 ways

Answer:

Step-by-step explanation:

The paintings' width-to-length ratios are different because the ratio 3 to 2 is not equal to 9 to 6. The correct option is B.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The width-to-length ratios of the paintings differ because 3 to 2 is not equal to 9 to 6.

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8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.