How many points of intersection are on the graph of the following system?

lbrace y = x2 + 3x − 7
y − x = 9


The linear-quadratic system has
(select)
points of intersection.

Answer:

b,c,f

Step-by-step explanation:

i did the assignment

Answer:

Step-by-step explanation:

A real relationship, not accounted by other variables, is a causal relationship. This type of association suggests that one variable directly causes changes in the other. In other words, there is a cause-and-effect relationship between the two variables.

In this type of association, changes in one variable directly cause changes in the other variable, without any other variables influencing the relationship. This contrasts with spurious or indirect associations, where the relationship between two variables is due to the influence of other variables. To determine if an association is a real relationship, researchers often control for potential confounding variables to isolate the direct effect of the variables in question. However, it is important to note that establishing a causal relationship requires careful research design and data analysis to rule out the effects of other variables that could be influencing the relationship.

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Random sampling is the correct answer. Which is option (A).

Sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is referred to as Random sampling.

What is sampling?

In statistics, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population. Sampling is frequently employed in social science research. The method employed to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is known as random sampling.

Content-loaded sampling refers to a form of sampling that is more sophisticated than simple random sampling.

In order to form a sample, it involves first determining which variables (or characteristics) are essential to the study, and then choosing people based on those variables, hence the name "content-loaded."On the other hand, in Stratified sampling, the population is divided into subgroups (strata) based on one or more characteristics that are expected to impact the study's outcomes. The proportion of people chosen from each group should reflect the group's percentage of the overall population.

Snowball sampling is a method for selecting a sample of individuals by locating others who share the characteristics being studied and asking them to suggest additional individuals who might participate in the study. Among the given options, (A) random sampling is the correct answer.

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Answer:

2

 ,  

4

,  

8

,  

16

,  

32

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by  

2

gives the next term. In other words,  

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:  

r

=

2

Step-by-step explanation:

The patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.

To determine how many tablets the patient needs to take daily, we need to divide the total amount of the drug prescribed by the dose of each tablet.

Since the patient is prescribed 3 grams of the drug daily, we first need to convert this to milligrams (mg), as the tablets are available in milligram form.

1 gram = 1000 milligrams, so 3 grams = 3,000 milligrams

The pharmacist has 750 mg tablets available, so we can calculate the number of tablets the patient needs to take daily by dividing the prescribed dose by the dose of each tablet:

Number of tablets = Prescribed dose ÷ Dose per tablet

Number of tablets = 3,000 mg ÷ 750 mg

Number of tablets = 4

Therefore, the patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.

Therefore, the patient will take 4 tablets daily.

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Answer:

if you're sating 200 tens(10), then it equals 2000

Step-by-step explanation:

because you'd multiply them, and 200 times 10 equals 2000.

and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000

Answer:

B

Step-by-step explanation:

Put them in there calculator

We can draw the conclusion that there is enough data to demonstrate that, at a significance level of = 0.05, the mean forced expiratory volume in one second for the population of 13-year-old boys in the high-pollution community differs from the established mean of 2.6 liters.

To test whether the mean forced expiratory volume in one second (FEV1) for the population of 13-year-old boys in the high-pollution community differs from the known mean of 2.6 liters, we can use a one-sample t-test.

Given that the sample size is not provided, we assume it to be large enough for the sample mean to follow a normal distribution by the central limit theorem.

The null hypothesis is: H0: μ = 2.6 (the population mean is equal to 2.6 liters)

The alternative hypothesis is: Ha: μ ≠ 2.6 (the population mean is not equal to 2.6 liters)

We will use a significance level of α = 0.05.

To find the critical value, we need to determine the degrees of freedom. Since the sample size is not given, we can assume it to be large enough (say, n > 30) and use a t-distribution with degrees of freedom approximately equal to n - 1.

Using a t-table with 30 degrees of freedom (which is conservative), the critical values for a two-tailed test with α = 0.05 are -2.042 and 2.042.

The test statistic can be calculated as:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (sample mean - 2.6) / (population standard deviation / sqrt(sample size))

Since the sample standard deviation is not given, we can use the population standard deviation as an estimate (assuming that the sample is representative of the population). Thus,

t = (3.0 - 2.6) / (0.5 / sqrt(n))

t = 0.4 / (0.5 / sqrt(n))

We do not know the sample size, but we can solve for n using the given sample mean and standard deviation:

standard error = population standard deviation / sqrt(n)

0.5 / sqrt(n) = (3.0 - 2.6) / t

n = (0.5 / ((3.0 - 2.6) / t))^2

n = (0.5 / (0.4 / 2.042))^2

n = 107

Thus, the sample size is 107. Now we can calculate the test statistic:

t = (3.0 - 2.6) / (0.5 / sqrt(107))

t = 4.89

The calculated t-value of 4.89 is greater than the critical value of 2.042, so we reject the null hypothesis.

We can conclude that there is sufficient evidence to suggest that the mean forced expiratory volume in one second for the population of 13-year-old boys in the high-pollution community differs from the known mean of 2.6 liters at a significance level of α = 0.05.

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After dilation with the given scale factor, the coordinate of M is (-4/3, 2/3)

Dilation of a figure is a transformation that changes the size of the figure while preserving its shape. In a dilation, the figure is either enlarged or reduced by a scale factor, which is a constant ratio. The scale factor determines how much the figure is stretched or compressed.

During a dilation, each point of the original figure is multiplied by the scale factor to determine the corresponding position of the dilated figure. The center of dilation is a fixed point around which the figure is expanded or contracted.

In he figure given, the point M have coordinate at (-2, 1)

After dilation with a scale factor of 2/3, the coordinate of M changes to;

M(-2, 1) = 2/3(-2, 1) = -4/3, 2/3

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the answer is giga

Step-by-step explanation:

cause giga stands fir 1,000,000,000 1 billion

Answer:

giga

Step-by-step explanation:

The Area of Rectangle would be Decreased by 16% of the original Area. Now the Area of Rectangle is 84%.

Let the Length of rectangle be ‘x’

And width of rectangle be ‘y’

Area of Rectangle = Length X Width

Original Area of rectangle = x X y = xy square units

As the length is increased by 40% then, the new length would be 1+40% i.e 1.4 and,

The width is decreased by 40% then, the new width would be 1-40% i.e  0.6

New Length = 1.4x

New Width = 0.6y

Now , New Area of Rectangle = 1.4x X 0.6y

                    = 0.84xy square units

The effect is that the New Area of the rectangle is 84% of the original area. There is a decrease of 16% in the area.

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Answer:

r = 8

Step-by-step explanation:

To find the radius with only the area you do r = \(\sqrt{A/\pi }\)

Since your area 64\(\pi\) = 201.0619298 then 201.0619298/\(\pi\) = 64

\(\sqrt{64}\) = 8

Hope this helps!!

The mass in scientific notation is \(5.45 * 10^3 kg\), this means that the mass of the African elephant is 5.45 multiplied by 1000,

To write the mass of the African elephant in scientific notation, we need to express it as a number between 1 and 10, multiplied by a power of 10. To do this, we can start by moving the decimal point in 5450 kg to the left until we have a number between 1 and 10. This gives us 5.45 kg.

Next, we need to determine the power of 10 that we multiplied by to get this number. To do this, we count the number of places we moved the decimal point, which is three places to the left. Therefore, the mass of the African elephant in scientific notation is:

\(5.45 * 10^3 kg\)

This means that the mass of the African elephant is 5.45 multiplied by 1000, which is the same as 5450 kg in standard notation. Writing the mass in scientific notation makes it easier to work with very large or small numbers, as it simplifies the representation of the number and makes it more manageable.

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The function that represents the parent function vertically stretched by a factor of 3, reflected over the x-axis, and translated right 2 units and up 4 units is g(x) = 3∣x - 2∣ + 4.

This can be explained as follows:

In the parent function ∣x∣, the absolute value of x ensures that the graph is reflected over the x-axis, resulting in a V-shaped graph in the positive y-axis region. By replacing x with (x - 2), we achieve a horizontal translation of 2 units to the right. Next, multiplying the absolute value term by 3 vertically stretches the graph by a factor of 3, making the V-shape narrower and taller. Finally, adding 4 to the function translates the graph upward by 4 units.

Thus, the function g(x) = 3∣x - 2∣ + 4 combines the vertical stretching, reflection, and translations described above to match the given criteria.

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Answer:

what does the color of the marble matter for?

Step-by-step explanation:

i am just wondering sorry

Answer:

d - 2

Step-by-step explanation:

saying it out loud helps :)

Answer:

Step-by-step explanation:

From the figure attached,

Given: ∠P ≅ ∠S

          TQ ≅ RQ

To Prove : ΔQRS ≅ ΔQTP

        Statements                          Reasons

1).     ∠P ≅ ∠S, TQ ≅ RQ                  Given

2).    ∠RQS ≅ ∠TQP                  Reflexive property

3).     ΔQRS ≅ ΔQTP                           AAS

Answer:

Step-by-step explanation:

(0, -9) and (3,3)

(3+9)/(3-0) = 12/3 = 4

y + 9 = 4(x - 0)

y + 9 = 4x - 0

y = 4x - 9

In the following question, among the various parts to solve- a) the probability that the individual waits more than 7 minutes is 0.3. b)the probability that the individual waits between 2 and 7 minutes is 0.5.

a) The probability that an individual will wait more than 7 minutes can be found as follows:

Given that the waiting time of an individual is a continuous uniform distribution and that a bus arrives at the bus stop every 10 minutes.Since the waiting time is a continuous uniform distribution, the probability density function (PDF) can be given as:fX(x) = 1/(b-a)where a = 0 and b = 10.

Hence the PDF of the waiting time can be given as:fX(x) = 1/10The probability that an individual waits more than 7 minutes can be obtained using the complementary probability. This is given by:P(X > 7) = 1 - P(X ≤ 7)The probability that X ≤ 7 can be obtained using the cumulative distribution function (CDF), which is given as:FX(x) = P(X ≤ x) = ∫fX(t) dtwhere x ∈ [a,b].In this case, the CDF of the waiting time is given as:FX(x) = ∫0x fX(t) dt= ∫07 1/10 dt + ∫710 1/10 dt= [t/10]7 + [t/10]10= 7/10Using this, the probability that an individual waits more than 7 minutes is:P(X > 7) = 1 - P(X ≤ 7)= 1 - 7/10= 3/10= 0.3So, the probability that the individual waits more than 7 minutes is 0.3.

b) The probability that the individual waits between 2 and 7 minutes can be calculated as follows:P(2 < X < 7) = P(X < 7) - P(X < 2)Since the waiting time is a continuous uniform distribution, the PDF can be given as:fX(x) = 1/10Using the CDF of X, we can obtain:P(X < 7) = FX(7) = (7 - 0)/10 = 0.7P(X < 2) = FX(2) = (2 - 0)/10 = 0.2Therefore, P(2 < X < 7) = 0.7 - 0.2 = 0.5So, the probability that the individual waits between 2 and 7 minutes is 0.5.

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The median height of the boys aged 13 years is 160 cm.

option D.

From the given equation of line of best fit, the median height of the boys aged 13 years is calculated as follows;

The given equation for line of best fit is;

y = 6.5x + 75.5

where;

when x = 13 years, the value of y, median height, is calculated as follows;

y = 6.5 (13) + 75.5

y = 160 cm

Thus, the median height of the boys aged 13 years is determined by applying the given equation for line of best fit,

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the researcher can conclude that private hospitals pay more than government-owned hospitals based on the sample data.

To test whether private hospitals pay more than government-owned hospitals, we can use a two-sample t-test with equal variances.

The null hypothesis is that there is no difference in mean salary between the two groups:

H0: μprivate = μgovernment

The alternative hypothesis is that private hospitals pay more than government-owned hospitals:

Ha: μprivate > μgovernment

We can use a significance level of 0.01, which corresponds to a critical value of t = 2.364 (with degrees of freedom = 898).

First, we need to calculate the pooled standard deviation:

Sp = sqrt(((n private - 1)s^2private + (n government - 1)s^2government) / (n private + n government - 2))

where n private and n government are the sample sizes, s^2private and s^2government are the sample variances, and s^2pooled is the pooled variance.

Plugging in the values, we get:

Sp = sqrt(((100-1) * 186^2 + (800-1) * 176^2) / (100 + 800 - 2)) = 176.43

Next, we calculate the test statistic:

t = (x(bar)private - x(bar)government) / (Sp * sqrt(1/n private + 1/n government))

where x(bar)private and x(bar)government are the sample means.

Plugging in the values, we get:

t = (26,800 - 25,400) / (176.43 * sqrt(1/100 + 1/800)) = 3.14

Since our test statistic (3.14) is greater than the critical value (2.364), we reject the null hypothesis and conclude that private hospitals pay more than government-owned hospitals at a significance level of 0.01.

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Answer:

8 is the largest row possible

Step-by-step explanation:

What this question is simply asking is to find the greatest common factor of 216 and 160

The greatest common factor of 216 and 160 is 8

So what this mean is that the largest row possible is 8

The value of the probability of orange is (c) 0.24

From the question, we have the following parameters that can be used in our computation:

Spinner and the number of spins

Using the above as a guide, we have the following:

Orange = 12

Total = 50

So, we have

P(Orange) = Orange/Total

Substitute the known values in the above equation, so, we have the following representation

P(Orange) = 12/50

Evaluate

P(Orange) = 0.24

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Each measure of the angle when the total measure of the angles is (n−2)·180° and n is 8 will be 235°.

From the information, the total measure of the angles is (n−2)·180°, where n=8. The term regular means all interior angle measures are the same.

It should be noted that in Mathematics, the value of the sum of angles is Illustrated in this case. We can determine each angle measure from the total angle measure thus:

(n - 2) × 180

n = 8

It should be noted that n in this case simply means the number of sides

= (n - 2) × 180

= (8 - 2) × 180

= 1080°

Each measure of the angle will be:

= 1080° / 8

= 135°

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After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

Answer:

Consecutive

Step-by-step explanation:

Answer:

consecutive

Step-by-step explanation:

have a good day!

According to the question For ( a ) The average velocity during this time

period is \(\[\text{Average velocity} = \frac{\Delta s}{\Delta t} = \frac{-4}{1} = -4 \, \text{cm/s}\]\). For ( b ) The estimated

instantaneous velocity of the particle when \(\( t = 1 \) is \( -5\pi \) cm/s.\)

a. Average velocity during each time period:

The equation of motion for the displacement of the particle is given by:

\(\[ s = 5\sin(\pi t) + 2\cos(\pi t) \]\)

To find the average velocity, we need to calculate the change in displacement divided by the change in time.

For the time period \(\( t = 0 \)\) to \(\( t = 2 \)\) :

\(\[\Delta t = 2 - 0 = 2\]\)

\(\[\Delta s = s(2) - s(0) = (5\sin(\pi(2)) + 2\cos(\pi(2))) - (5\sin(\pi(0)) + 2\cos(\pi(0)))\]\)

Using the values of \(\( \sin(2\pi) = 0 \)\) and \(\( \cos(2\pi) = 1 \)\), we can simplify the equation:

\(\[\Delta s = (5\sin(\pi(2))) + 2(1) - (5\sin(\pi(0)) + 2\cos(\pi(0))) = 0 + 2 - (0 + 2) = 2 - 2 = 0\]\)

The average velocity during this time period is:

\(\[\text{Average velocity} = \frac{\Delta s}{\Delta t} = \frac{0}{2} = 0 \, \text{cm/s}\]\)

For the time period \(\( t = 2 \)\) to  \(\( t = 3 \)\) :

\(\[\Delta t = 3 - 2 = 1\]\)

\(\[\Delta s = s(3) - s(2) = (5\sin(\pi(3)) + 2\cos(\pi(3))) - (5\sin(\pi(2)) + 2\cos(\pi(2)))\]\)

Using the values of  \(\( \sin(3\pi) = 0 \)\) and \(\( \cos(3\pi) = -1 \)\) , we can simplify the equation:

\(\[\Delta s = (5\sin(\pi(3))) + 2(-1) - (5\sin(\pi(2)) + 2\cos(\pi(2))) = 0 - 2 - (0 + 2) = -4\]\)

The average velocity during this time period is:

\(\[\text{Average velocity} = \frac{\Delta s}{\Delta t} = \frac{-4}{1} = -4 \, \text{cm/s}\]\)

b. To estimate the instantaneous velocity of the particle when \(\( t = 1 \)\) , we can use the velocity equation we obtained earlier:

\(\[v = 5\pi\cos(\pi t) - 2\pi\sin(\pi t)\]\)

Plugging in \(\( t = 1 \)\) :

\(\[v(1) = 5\pi\cos(\pi(1)) - 2\pi\sin(\pi(1))\]\)

Using the values of   \(\( \sin(\pi) = 0 \) and \( \cos(\pi) = -1 \)\) , we can simplify the equation:

\(\[v(1) = 5\pi(-1) - 2\pi(0) = -5\pi\]\)

The estimated instantaneous velocity of the particle when \(\( t = 1 \) is \( -5\pi \) cm/s.\)

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In the given diagram, the length of diagonal IE is 30. The correct option is (2) 30

From the question, we are to determine the length of diagonal IE

From the given information,

/TG/ = 16

∴ /RG/ = 16÷2 = 8

NOTE: The diagonals of a rhombus bisect each other at right angles

Then,

/GE/² = /ER/² + /RG/² (Pythagoras' theorem)

From the given information, the perimeter of the rhombus is 68

Since all the sides of  a rhombus are equal to one another,

Then,

/GE/ = 68÷4

/GE/ = 17

Thus,

17² = /ER/² + 8²

289 = /ER/² + 64

/ER/² = 289 - 64

/ER/² = 225

/ER/ = √225

/ER/ = 15

But,

/IE/ = 2 × /ER/

∴ /IE/ = 30

Hence, the length of diagonal IE is 30. The correct option is (2) 30

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Answer:j un ih i9

Step-by-step explanation:

b un ih 9

Answer to 2a: The mean of Asset A is 0.235  and the variance is 0.0123

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

2a. Mean of Asset A (Expected Value):

The mean of Asset A (E(A)) can be calculated as:

\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)

where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.

Using the given information, we have:

Boom:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Average:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Bust:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)

2b. Correlation Coefficient of A and C:

The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:

\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)

where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.

Using the given information, we have:

Boom:

\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)

Average:

\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)

Bust:

\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)

Now, we calculate the standard deviations of Assets A and C:

\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)

\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)

Finally, we can calculate the correlation coefficient:

Boom:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Average:

\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)

Bust:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)

Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

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