how to find the constant of proportionality on a graph

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

42/60 = 70%

(Hope I helped)

To decrease the probability of type I error in order to avoid the more consequential error of falsely concluding that the diagnostic tool is effective.

The researchers should decrease the significance level to decrease the probability of type I error. This is because a type I error occurs when the null hypothesis is rejected when it is actually true. In this case, the null hypothesis is that the diagnostic tool is not effective in detecting the condition.

If the researchers decrease the significance level, they are decreasing the probability of making a type I error, which means they are less likely to conclude that the diagnostic tool is effective when it is actually not. This will help the researchers avoid the more consequential error of falsely concluding that the diagnostic tool is effective.

In general, the significance level (also known as the alpha level) is the probability of making a type I error. By decreasing the significance level, the researchers are making the criteria for rejecting the null hypothesis more stringent, which reduces the likelihood of making a type I error.

It is important to note that decreasing the significance level will also decrease the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false.

However, in this case, the researchers are more concerned with avoiding the more consequential error of falsely concluding that the diagnostic tool is effective, so decreasing the significance level is the appropriate action to take.

In conclusion, the researchers should decrease the significance level to decrease the probability of type I error in order to avoid the more consequential error of falsely concluding that the diagnostic tool is effective.

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Answer: 21

Step-by-step explanation: Evaluate the first expression which is the cube root of 216. 6^3 equals 216 so the cube root of it is equal to six. Multiply it by 4 because thats what's its there for and you get 24. Subtract by 3 to get the final answer, 21.

The area of the shaded region is 44.24\ cm^{2}44.24 cm2

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

step 1

Find the area of circle

The area of the circle is equal to

A=\pi r^{2}A=πr2

we have

r=4\ cmr=4 cm

substitute

A=\pi (4)^{2}A=π(4)2

A=16\pi\ cm^{2}A=16π cm2

step 2

Find the area of rectangle

The area of rectangle is equal to

A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2

step 3

Find the difference

16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2

assume

\pi=3.14π=3.14

16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2

Answer:

tap the link in the comments to get your answer

Step-by-step explanation:

The number of children and the adults present at the pool in the day was 223 and 351 respectively.

Given that, there are 574 people in a day swimming at public pool, the daily prices are $1.75 for children and $2.25 for adults.

The receipts for admission totaled $1180.00.

Let the number of adults be a and that the children be c,

So,

a + c = 574

a = 574 - c.........(i)

2.25a + 1.75c = 1180............(ii)

Put eq(i) in eq(ii)

2.25(574-c) + 1.75c = 1180

1291.5 - 2.25c + 1.75c = 1180

0.5c = 111.5

c = 223

Put the value of c in the eq(i)

a = 574-223

a = 351

Hence, the number of children and the adults present at the pool in the day was 223 and 351 respectively.

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Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The graph represents the given parameters

On the graph, we have the following endpoints

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

The domain

The definition of the domain implies that the domain of a function is the set of x values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the maximum

Closed circle at (-2, -1)

Open circle at (-5, -2)

Remove the y coordinates

So, we have

Closed circle at (-2)

Open circle at (-5)

Combine the x values

-2 ≤ x < -5

The range

The definition of the range implies that the range of a function is the set of y values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the smaller larger y value of the endpoints)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the x coordinates

So, we have

Open circle at (-2)

Maximum = (1)

Combine the y values

-2 < y < 1

Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

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Answer:

-3/8

Step-by-step explanation:

This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!

The triangles can be proven to be congruent. ΔADC ≅ ΔCBA based on the HL congruence theorem.

The HL congruence theorem can be used to prove that two triangles are congruent if we can show that they are right triangles which have a pair of congruent hypotenuse and a pair of congruent legs.

Given the triangles in the image, ΔADC and ΔCBA, they have the following:

Therefore, both triangles are congruent by HL congruence theorem.

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Answer: x+6

Step-by-step explanation:

Answer:

I think C

Step-by-step explanation:

There is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.

The correlation coefficient is -0.961 and the proportion of the variation in y that can be explained by the variation in the values of x is 92.3%.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient between x and y is -0.961, which indicates a strong negative linear relationship between the two variables.

The coefficient of determination (r²) measures the proportion of the variation in y that can be explained by the variation in the values of x. In this case, the value of r² is 0.923, or 92.3%. This means that 92.3% of the variability in y can be explained by the variability in x. Therefore, there is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.

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Answer:

you would have 12000 gold

Step-by-step explanation:

Answer:

infinite solutions

they're the same equation lm‎ao

Answer:

Infinitely many solutions

because it is the correct answer

Answer:

8

Step-by-step explanation:

eight more anakd;odslakhas sfjjjsjas

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

\(V \propto h\)

\(V = k\cdot h\) (1)

Where:

\(V\) - Volume of the cylinder, in cubic feet.

\(h\) - Height of the cylinder, in feet.

\(k\) - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

\(k = \pi \cdot R^{2}\) (2)

Where \(R\) is the radius of the cylinder, in feet.

If we know that \(h = 9\,ft\) and \(V = 28.26\,ft^{2}\), then the radius of the cylinder is:

\(k = \frac{V}{h}\)

\(k = 3.14\)

\(R = \sqrt{\frac{k}{\pi} }\)

\(R \approx 1\,ft\)

The radius of these cylinders is approximately 1 foot.

Answer:

8x+6y

Step-by-step explanation:

add the coefficients of like terms with the same variable

The correct is c. $60.30.Tony invested $5,500 in a four-year CD that paid 4.8% interest.

The initial amount invested, that is principal = $5,500The interest rate = 4.8%

The time the money is invested (in years) = 4

The formula for the future value of a single amount is given by:FV = PV × (1 + i)n

Where, FV = Future Value,

PV = Present Value,

i = interest rate per compounding period, and

n = number of compounding periods.

Since it is given that the CD is compounded annually, the formula becomes:FV = PV × (1 + i)n

FV = $5,500 × (1 + 0.048)4

FV = $6,782.23

The future value of the CD is $6,782.23.

The amount Tony withdrew = $475

The penalty for early withdrawal is 3 months of interest on the amount withdrawn.Interest rate for the CD = 4.8%

Interest rate for 3 months = (4.8/4)/3

= 0.4%

(Dividing by 4 to get quarterly interest rate and then dividing by 3 to get interest for 3 months)

Interest on the amount withdrawn = $475 × 0.004

Interest on the amount withdrawn = $1.90

The penalty paid by Tony = $1.90 × 3

Penalty paid by Tony = $5.70

Hence, the penalty paid by Tony was $5.70.

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Step-by-step explanation:

\(10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)\)

Answer:

\(2(5x-4)(x+1)\)

You can check the answer by re-distributing the 2 and using the foil method :)

Answer: 4 inches.

Step-by-step explanation:

The measurement of angles are given as  20.92°, 40.83°,  57.76°, 71.17°, 26.21° and 44.7°respectively.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given problem can be solved by applying the trigonometric ratios to all of the triangle as follows,

(11) In the given triangle,

Sinθ = 5/14

=> θ = Sin⁻¹(5/14) = 20.92°

(12) In the given triangle,

Tanθ = 7/8.1

=> θ = Tan⁻¹(7/8.1) = 40.83°

(13)  In the given triangle,

Cosθ = 8/15

=> θ = Cos⁻¹(8/15) = 57.76°

(14) In the given triangle,

Tanθ = 8.8/3

=> θ = Tan⁻¹(8.8/3) = 71.17°

(15) In the given triangle,

Tanθ = 6.4/13

=> θ = Tan⁻¹( 6.4/13) = 26.21°

(16) In the given triangle,

Tanθ =9.4/9.5

=> θ = Tan⁻¹( 9.4/9.5) = 44.7°

Hence, the measures of the angles indicated in the triangles are obtained as 20.92°, 40.83°,  57.76°, 71.17°, 26.21° and 44.7°respectively.

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If we fail to reject the null hypothesis, there is not enough evidence to support the claim, and we would conclude that the distribution is, in fact, uniformly distributed.

To test the organization's claim, we will conduct a hypothesis test using the following steps:

Step 1: State the hypotheses.

The null hypothesis (H₀): The distribution of prospective home buyers' preferences for their next house size is uniformly distributed.

The alternative hypothesis (H₁): The distribution of prospective home buyers' preferences for their next house size is not uniformly distributed.

Step 2: Formulate an analysis plan.

We will use a chi-square goodness-of-fit test to analyze the data. We will compare the observed frequencies in each category with the expected frequencies under the assumption of a uniform distribution.

Step 3: Collect the data.

We are given the data in the table below:

| House Size Preference | Observed Frequency |

|----------------------|-------------------|

| Larger               | 350               |

| Smaller              | 220               |

| Same                 | 230               |

Step 4: Calculate the test statistic.

We will calculate the chi-square test statistic using the formula:

χ² = Σ((Oᵢ - Eᵢ)² / Eᵢ),

where Oᵢ is the observed frequency in each category, and Eᵢ is the expected frequency under the assumption of a uniform distribution.

To calculate the expected frequency, we assume that the probabilities of selecting "Larger," "Smaller," and "Same" are equal since the distribution is claimed to be uniform. The expected frequency for each category is then (1/3) * total sample size.

Expected frequency for "Larger": (1/3) * 800 = 266.67

Expected frequency for "Smaller": (1/3) * 800 = 266.67

Expected frequency for "Same": (1/3) * 800 = 266.67

Now, we can calculate the test statistic:

χ² = [(350 - 266.67)² / 266.67] + [(220 - 266.67)² / 266.67] + [(230 - 266.67)² / 266.67]

Step 5: Determine the p-value.

To determine the p-value, we compare the calculated test statistic to the chi-square distribution with (number of categories - 1) degrees of freedom. In this case, the degrees of freedom are 3 - 1 = 2.

Using a chi-square table or a statistical software, we can find the p-value associated with the calculated test statistic.

Step 6: Make a decision.

We compare the p-value to the significance level (α = 0.05). If the p-value is less than or equal to α, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Step 7: Interpret the results.

If we reject the null hypothesis, it would support the organization's claim that the distribution of prospective home buyers' preferences for their next house size is not uniformly distributed.

If we fail to reject the null hypothesis, there is not enough evidence to support the claim, and we would conclude that the distribution is, in fact, uniformly distributed.

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Step-by-step explanation:

To mentally divide by 0.1, 0.01 and 0.001, you can use the following tips:

Dividing by 0.1 is equivalent to multiplying by 10.

Dividing by 0.01 is equivalent to multiplying by 100.

Dividing by 0.001 is equivalent to multiplying by 1000.

In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken

In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds

Let us convert time total time to seconds

3 minutes 30  in seconds = 3*60+ 30 = 180+30 = 210 seconds

Hence  Moira rate  = 1 rubiks cube/210 seconds

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Answer:

c & d

Step-by-step explanation:

Trust me on this one can i have brainiest

Option {D} : 0 represents the correct alternative.

A decimal is a number that consists of a whole and a fractional part.

Given are the decimal numbers.

Option {D} : 0 represents the correct alternative.

Therefore, Option {D} : 0 represents the correct alternative.

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a. The probability that both dice will show an even number is 1/4.

b. The probability that the sum of the dice will be an odd number is 1/2.

c. The probability that both dice will show a prime number is 9/36 or 1/4.

a. To find the probability that both dice will show an even number, we need to determine the favorable outcomes (both dice showing even numbers) and the total possible outcomes. Each die has 3 even numbers (2, 4, 6) out of 6 possible numbers, so the probability for each die is 3/6 or 1/2. Since the dice are rolled independently, we multiply the probabilities together: 1/2 * 1/2 = 1/4.

b. The probability that the sum of the dice will be an odd number can be determined by finding the favorable outcomes (sums of 3, 5, 7, 9, 11) and dividing it by the total possible outcomes. There are 5 favorable outcomes out of 36 total possible outcomes. Therefore, the probability is 5/36.

c. To find the probability that both dice will show a prime number, we need to determine the favorable outcomes (both dice showing prime numbers) and the total possible outcomes. There are 3 prime numbers (2, 3, 5) out of 6 possible numbers on each die. So, the probability for each die is 3/6 or 1/2. Multiplying the probabilities together, we get 1/2 * 1/2 = 1/4.

In summary, the probabilities are: a) 1/4, b) 5/36, c) 1/4.

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Answer:

n+7

Step-by-step explanation:

T2-T1=7

therefore the nth term is n+7

Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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