The table at the right shows the number of small packs of fruit snacks y per box x. Graph the data then find the slope of the line. Explain what the slope represents

To maximize the prevention of deaths, all 100 doses of the drug should be given to people with genetic marker B. This decision is based on the higher number of lives saved (75) compared to marker A (135) due to the drug's effectiveness.

Let's go through the step-by-step calculation to determine how many of the 100 doses should be given to people with genetic marker B.

Start with the total number of people with disease X: 300.

Divide this number in half to get the number of people with genetic marker A: 300 / 2 = 150.

Similarly, divide the total number by 2 to get the number of people with genetic marker B: 300 / 2 = 150.

Determine the risk reduction for individuals with marker A: 100% - 10% = 90%.

Calculate the number of lives saved by giving the drug to people with marker A: 150 * 90% = 135.

Determine the risk reduction for individuals with marker B: 100% - 50% = 50%.

Calculate the number of lives saved by giving the drug to people with marker B: 150 * 50% = 75.

Since the goal is to prevent as many deaths as possible, allocate all 100 doses to people with genetic marker B, as it saves more lives (75) compared to marker A (135).

Therefore, all 100 doses of the drug should be given to people with genetic marker B to maximize the prevention of deaths.

To know more about doses of drug:

https://brainly.com/question/31443775

#SPJ4

Based on a random survey of 416 drivers, where 316 claimed to always buckle up, the 94% confidence interval for the population proportion of drivers who always buckle up is (71.36%, 82.95%).

To construct the confidence interval, we need to use the sample proportion and the margin of error. The sample proportion is calculated by dividing the number of drivers who claimed to always buckle up (316) by the total number of drivers surveyed (416). In this case, the sample proportion is 316/416 ≈ 0.7596.

The margin of error can be determined using the formula:

Margin of error = Z * √\(\sqrt{(p'(1-p')/n)}\)

Here, Z represents the z-score corresponding to the desired level of confidence. For a 94% confidence interval, the z-score is approximately 1.88 (obtained from the standard normal distribution).

p' represents the sample proportion (0.7596), and n represents the sample size (416).

Substituting the values into the formula, we can calculate the margin of error as:

Margin of error = 1.88 * \(\sqrt{((0.7596 * (1-0.7596))/416)}\) ≈ 0.0583

The confidence interval is then calculated by subtracting and adding the margin of error from the sample proportion:

Lower limit = 0.7596 - 0.0583 ≈ 0.7013

Upper limit = 0.7596 + 0.0583 ≈ 0.8179

Therefore, the 94% confidence interval for the population proportion of drivers who always buckle up is approximately (0.7136, 0.8295) or (71.36%, 82.95%).

Learn more about confidence intervals here:

https://brainly.com/question/32546207

#SPJ11

In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

Learn more about rectangle

brainly.com/question/29123947

#SPJ4

The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.

Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.

To learn more about scatter plot refer to:

https://brainly.com/question/6592115

#SPJ4

Using simple linear equations we calculate that the change left will be $6.24 .

The equals sign is used to indicate that two expressions on each side of the equal sign are equal in the many mathematical formulas that are utilized to form an equation.

Let the change received be x.

Therefore let us construct an equation for the situation

cost of game + tax + change = 20

or, 12.98 + 0.78 + x = 20

or, 13.76 + x = 20

or, x = 6.24

Therefore he will receive   6.24 after solving the equation.

To learn more about equation visit:

brainly.com/question/10413253

#SPJ1

Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

To learn more about individual variability visit,

https://brainly.com/question/23320848

There are no values of x that satisfy the equation f(x) = 0.

what is a function?

A function is a mathematical concept that relates a set of inputs (known as the domain) to a set of outputs (known as the range), such that every input corresponds to exactly one output.

In other words, a function is a rule that assigns each element of the domain to a unique element of the range.

We are given that the mapping f(x) = x² + 1, and that the range of f is R - {2, 5, 10}.

To determine the domain of f, we need to consider what values of x will result in a valid output for f(x). Since f(x) is defined as x² + 1, we know that f(x) will always be greater than or equal to 1. Therefore, the domain of f is all real numbers, or D = R.

To find f⁻¹(5), we need to solve for x when f(x) = 5. That is, we need to solve the equation x² + 1 = 5. Rearranging, we get x² = 4, so x = ±2. Therefore, f⁻¹(5) = {-2, 2}.

Finally, to find the values of x when f(x) = 0, we need to solve the equation x² + 1 = 0. However, this equation has no real solutions, since the square of a real number is always non-negative.

Therefore, there are no values of x that satisfy the equation f(x) = 0.

To learn more about Function from the given link:

https://brainly.com/question/12431044

#SPJ1

Answer:

c) m <2 =m <3

Step-by-step explanation:

since the angles 2 and 3 are equal then they should be alternate angles

then c and d are parallel lines

Answer:

it's b

Step-by-step explanation:

bc she makes 20 so 50+20=40

If the width (4) of a rectangle varies inversely as its length (12), the equation that represents the inverse variation is: B. \(\mathbf{y = \frac{48}{x} }\)

Recall:

An inverse proportion relationship is represented with the equation, y = k/x.

k is the constant, which is: k = xy

Given:

Width varies inversely with the length of a rectangle, if:

width = 4

length = 12

The constant, k = (4)(12)

k = 48

To write the equation that matches the scenario given, plug in the value of k = 48 into y = k/x, which is:

\(\mathbf{y = \frac{48}{x} }\)

Therefore, if the width (4) of a rectangle varies inversely as its length (12), the equation that represents the inverse variation is: B. \(\mathbf{y = \frac{48}{x} }\)

Learn more here:

https://brainly.com/question/13345186

Answer:

B

Step-by-step explanation:

Answer:I don't get what d means and what it means by value but choose a.

it makes the most sense,

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

First we need to convert 600 miles per hour into feet per hour,

which is

# 3.168e+6

next, divide both by 60 to get feet per minute, then divide by 60 again on both sides to get feet per second

which is

#880 ft per second

Answer:

-1, +2

Step-by-step explanation:

The difference between the 1st two terms is -1, the difference between the next two is + 2, and so on

Answer:

43.575

Step-by-step explanation:

124.50×.35=43.575

Answer:

(3–7x²)(x–3)

Step-by-step explanation:

If you apply the distributive property in (3–7x²)(x–3), you obtain:  

3x-9-7x²(x)+21x²

3x-9-7x³+21x²

When you order the expression, you have:  

-7x³+21x²+3x-9

Then, the answer is (3–7x²)(x–3)

The resulting expression from the given algebra after grouping is; C: (3 – 7x²)(x – 3)

We want to simplify the algebraic expression; -7x³ + 21x² + 3x - 9

Applying distributive property of algebra, we have;

-7x²(x - 3) + 3(x - 3)

By factorization, we have;

(3 – 7x²)(x – 3)

Looking at the options, only option C is correct

Read more about Algebra Expression at; https://brainly.com/question/4344214

Answer: They should be blocked by activity level so the subjects are as similar as possible.

Step-by-step explanation:

Blocking is used to account for suspected differences in experimental units or subjects. In this case, the study wanted to take into account the difference in activity levels, which can affect the diaper's capacity as described in the paragraph.

The 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.

Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, the 2-, 10-, and 100-year peak floods for a normal distribution can be found as follows:

Formula used in finding the peak flood is as follows:

Q_T= Q_m + K_T

σ

Where Q_T is the flow for a given period,

Q_m is the mean flow, K_T is the coefficient of skewness, and σ is the standard deviation of the flows.

For a normal distribution, K_T= frac{\text{duration of period in years}-1}{2}\times\frac{\text{duration of period in years}+1}{2}

Substitute the mean and standard deviation to the formula above:

When the period of interest is 2 years, the coefficient of skewness is calculated below:

[{{K}_{T}}=\frac{\text{(2-1)(2+1)}}{2}=1\]

Also, K_{T} is 1 for the 10-year and 100-year flood.

When these values are computed, we get the following values:

Q_{2}=3500+1(2000)=5500 \text{ cfs}

Q_{10}=3500+1(2000)=5500 \text{ cfs}

Q_{100}=3500+1(2000)=5500 \text{ cfs}

Therefore, the 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.

Learn more about mean and standard deviation from the given link:

https://brainly.com/question/33747852

#SPJ11

David's deposit of $220 compounded continuously at a rate of 1.7% will become $260 after 10 years.

Here we have been given that David invested $220.

The interest rate was 1.7%

Since the amount was compounded continuously, there is no fixed date of when it was compounded, the whole process is taken as an exponential distribution.

There were no withdrawals or additional deposits to this, so our Principal is constant. Hence we can write the formula

Amount = Principal X eᵃˣ

where a = rate of interest/100

x = time

Therefore, we can say that

Ampunt after 10 years = 220 X e¹⁰ ˣ ⁰°⁰¹⁷

= $260.76707

rounding off to the nearest 10 dollars we get

= $260

Hence David's deposit of $220 compounded continuously at a rate of 1.7% will become $260 after 10 years.

To learn more about Compound Interest visit

https://brainly.com/question/19522540

#SPJ4

Answer:

Sorry I had to go to dinner here you go hope this helps! :D

Step-by-step explanation:

So, before we start, there are two things we have to go over.

First off, we have "or"

When using or between two probabilitess, you are basically adding them together.

For instance, you first question asks what the probability is of rolling a 5 or a number greater than 3(assuming this is a 6 sided dice).

So, rolling a 5 is a change of 1/6. Since 1 of the 6 dice iwll be 5. The other probability is a 1/2, since 3 of the 6 dice are over 3.

Now lets add these two together because of the "or":

1/2+1/6=3/6+1/6=4/6

So the probabily of rolling a 5 OR rolling a number greater than 3 is 4/6.

This is inclusive, since rolling a 5 is possible and greater than 3.

Now "and" is a bit different and more complex than or is.

Here is an example:

What is the change of rolling a even number or rolling a number above 4?

Well, rolling a even number has a probability of 1/2. Rolling a number above 4 is 1/3.

To find the "and", we multiply the two probabilities.

So 1/3*1/2=1/6

So the probability of rolling a even number and a number above 4 is 1/6.

Now, lets get back to the answers.

So what is the probability of rolling a 2 or a 6?

There is a 1/6 probability to get a 2, and a 1/6 probability to get a 6.

Add it together since they use or:

1/6+1/6=2/6

So the probability of rolling a 2 or a 6 is 2/6, or 1/3.

This is exlusive since you cant roll both a 6 and a 2 at the same time.

Next we have what the probability is of drawing a 6 or a king.

There are 13 different cards in a deck.

There is a 4/52 chance of drawing a 6(spade/heart/etc), and a 4/52 chance of drawing a king. This simplyfies to 1/13 for each.

This is:

1/13+1/13=2/13

So the probability of drawing a 6 or a king is 2/13

This is a exclusive event since a king and 6 cant be drawn at the same time.

Finally, we have:

What is the probability of drawing a queen or a spade?

Again, there is a 4/52 chance of drawing a queen. A spade, however, is different.

13 of the 52 cards can be spades, which simplies to 1/4.

So we have 1/13+1/4=4/52+13/52=17/52

So there is a 17/52 probability of drawing a queen or spade.

This is a inclusive event since it is possible to draw both a spade and queen at the same time.

Hope this answers all your questions and helps you understand what "and" "or" are in probability.

Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].

Given the following coordinates:

Midpoint of GH --> m(-13/2,-6) = (x, y)

One endpoint ---> G(-4, 1) = (x1, y1)

The other endpoint ---> (x2, y2)

Plug in the values into the formula used in calculating the midpoint:

m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]

Solve for x2

-13/2 = (-4 + x2)/2

-13/2 × 2 = -4 + x2

-13 = -4 + x2

-13 + 4 = x2

-9 = x2

x2 = -9

Solve for y2

-6 = (1 + y2)/2

2(-6) = 1 + y2

-12 = 1 + y2

-12 - 1 = y2

-13 = y2

y2 = -13

Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

Learn more about the midpoint formula on:

https://brainly.com/question/13115533

#SPJ1

To find the area between two z-scores on the TI-84, use the "normalcdf" function with the lower and upper z-scores as the first two arguments, and the mean (if not 0) as the third argument.

To find the area between two z-scores on the TI-84 calculator, you can use the "normalcdf" function. First, you need to determine the lower and upper z-scores that define the area you want to find.  For example, if you want to find the area between z=-1.5 and z=1.5, you would enter "normalcdf(-1.5, 1.5)" into the calculator. The answer will give you the area between those two z-scores. It's important to note that the "normalcdf" function requires three arguments: the lower z-score, the upper z-score, and the mean (which is assumed to be 0 if not specified). Therefore, when using this function, make sure to include all three values.

To know more about area visit :-

https://brainly.com/question/30579390

#SPJ11

Answer:

17% of 120 is 20.4

Step-by-step explanation:

Answer:

68.9°

Step-by-step explanation:

Using Sine rule

x/sin X = y/sin Y

4.5/sin X = 4/sin 56

sin X × 4 = 4.5 × sin 56

sin X = 4.5 × sin 56/4

X = arc sin (4.5 × sin 56/4)

X = 68.85449°

Approximately = 68.9°

Answer:

P=100(A-R)/RT

Step-by-step explanation:

A-R=PRT/100

100(A-R)=PRT

100(A-R)/RT=P

P=100(A-R)/RT

I BELIEVE THIS OS THE ANSWER:

BLANK 1 : -3

BLANK 2: 14