What is the slope of 12x + 3y =7

Answer:

0.0372

Step-by-step explanation:

Convert  to scientific notation.

Answer:

Step-by-step explanation:

3.72 x 10 = 37.2

10 to the power of -2 = 0.01

3.72 x 10 to the power of -2 =

0.0372

93/2500

Hope this helps! <3

Answer:

88cm^3

Step-by-step explanation:

The volume of a pyramid is the base times height divided by 3. First, we can find the area of the base. We have a right triangle with a base of 8 and a height of 6. The area of a triangle is the base times height divided by 2. This gives us:

8 * 6 ÷ 2 = 24cm^2

We can see that 11cm is the height as it is perpendicular to the base. We can set up an expression from the formula mentioned at the beginning:

11 * 24 ÷ 3 = 88cm^3

The measure of angle APB in the intersecting chords is 10⁰.

The measure of angle APB is calculated by applying intersecting chord theorem which that the angle at tangent is half of the arc angle of the two intersecting chords.

The value of m∠APB is calculated as follows;

m∠APB = ¹/₂ (arc AC - arc AB ) ( exterior intersecting secants)

The value of arc angle AC = 80⁰

The value of arc angle AB = 60⁰

Now substitute and solve for the value of angle APB as follows;

m∠APB = ¹/₂ (80 - 60 )

m∠APB = ¹/₂ ( 20 )

m∠APB = 10⁰

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The complete question is below:

In the accompanying diagram, tangent PA and secant PBC are drawn to circle O from point P. If mAC=80 and mAB=60, what is the measure of angle APB.

Answer:

-6<x<9

Step-by-step explanation:

Answer:

Volume formal= L × W × W

Volume formal= 6 × 8 × 9

Answer= 6×8×9= 432

Answer:

A

Step-by-step explanation:

X^2 + 6X + 8 =3

TRANSPOSE 3 TO LEFT

X^2 + 6X + 8 - 3 = 0

CALCULATE

X^2 + 6 X + 5 = 0

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

Answer:

D

Step-by-step explanation:ik

EXPLANATION

We can complete the frequency table by arranging each given value with its corresponding age class, as shown as follows:

Age class Frequency

20-29 1

30-39 4

40-49 2

50-59 7

60-69 11

70-79 4

80-89 1

The complete frequency distribution for the data is,

Age      Frequency

20-29         1

30-39         4

40-49         2

50-59         7

60-69         11

70-79          4

80-89          1

We have to given that;

The following data represents the age of 30 lottery winners.

Now, We can formulate;

By given table,

Age      Frequency

20-29         1

30-39         4

40-49         2

50-59         7

60-69         11

70-79          4

80-89          1

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Answer: 1) Let's simplify step-by-step.

x22(x+y)−y2

Distribute:

=(x22)(x)+(x22)(y)+−y2

=x23+x22y+−y2

Answer:

=x23+x22y−y2

2)Let's simplify step-by-step.

x4+x2y2+y4

There are no like terms.

Answer:

=x4+x2y2+y4

The probability that exactly two of the four persons selected live in their own household and are income-qualified is approximately 0.1075 or 10.75%.

Probability of success (p): The probability that a person selected from the population lives in their own household and is income-qualified. From the given information, p = 0.84.

Probability of failure (q): The probability that a person selected from the population does not live in their own household and is not income-qualified. Since q is the complement of p, we have q = 1 - p = 1 - 0.84 = 0.16.

Number of trials (n): We are selecting four persons from the population, so n = 4.

Number of successes (k): We want exactly two persons to live in their own household and be income-qualified, so k = 2.

Now we can calculate the probability using the binomial probability formula:

P(X = k) = C(n, k) * p^k * q^(n-k)

where C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! * (n-k)!).

Plugging in the values, we get:

P(X = 2) = C(4, 2) * (0.84)²* (0.16)⁽⁴⁻²⁾

Calculating the binomial coefficient:

C(4, 2) = 4! / (2! * (4-2)!) = 4! / (2! * 2!) = 6.

Substituting the values:

P(X = 2) = 6 * (0.84)² * (0.16)⁽⁴⁻²⁾

Calculating the result:

P(X = 2) = 6 * 0.84² * 0.16²

= 6 * 0.7056 * 0.0256

= 0.1075 (approximately)

Therefore, the probability that exactly two of the four persons selected live in their own household and are income-qualified is approximately 0.1075 or 10.75%.

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Answer:

Step-by-step explanation:

ΔBDS ~ ΔBZD

Use ratios of similar triangles:

DZ = √(52²-20²) = 48

Correct choice is B

The probability that the coin is fair given that it lands heads is 0.3571.

Given that a coin is picked from the box and flipped, the probability of the coin being fair is 1/3.

The probability of the coin being biased towards heads and the coin being biased towards tails is 1/3.

Therefore, the probability that the coin is fair and lands heads is (1/3) x 0.5

= 0.1667.

The probability that the coin is biased towards heads and lands heads is (1/3) x 0.8

= 0.2667.

The probability that the coin is biased towards tails and lands heads is (1/3) x 0.1

= 0.0333.

Therefore, the total probability that the coin lands heads is 0.1667 + 0.2667 + 0.0333

= 0.4667.

Using Bayes' Theorem, the probability of the coin being fair given that it lands heads is:

P(fair|heads)

= P(heads|fair) * P(fair) / P(heads)

= 0.5 * 1/3 / 0.4667

= 0.3571.

Thus, the probability that the coin is fair given that it lands heads is 0.3571.

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Answer:

The answer is 5 hours

Step-by-step explanation:

First u add the part and service charge toghther which is 75 and then 225 minus 75 is 150 so u divide 150 and 30 and u get 5 which is your answer.

HOPE THIS HELPS

Answer:

the answer is 7,184.47

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The highest exponent is 1.

Answer:

Yes 5x -4y= 3 is a linear

Step-by-step explanation:

It is a linear because it makes a straight line when it's on a graphed.

Hope this was helpful :)  

The sampling distribution of the sample mean refers to the distribution of all possible sample means that could be obtained from repeated random sampling of a population. It is a fundamental concept in statistics that helps us understand the behavior of sample means.

Under certain conditions, the sampling distribution of the sample mean follows a normal distribution, regardless of the shape of the population distribution. This is known as the Central Limit Theorem. The mean of the sampling distribution is equal to the population mean, and the standard deviation (also known as the standard error) is equal to the population standard deviation divided by the square root of the sample size.

As the sample size increases, the sampling distribution becomes more concentrated around the population mean, resulting in a smaller standard deviation. This means that larger sample sizes yield more precise estimates of the population mean. The sampling distribution provides valuable information for making inferences about the population based on the characteristics of the sample mean.

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Answer:

6

Step-by-step explanation:

Plug the values of a and b into the equation.

4(3) + 5(-1.2)

12 + (-6)

Adding negatives basically means subtracting, so...

12-6 = 6

Therefore your answer is 6

Hope this helps!

Answer:

6

Step-by-step explanation:

4 a + 5 b

a=3 and b= -1.2

4(3) +5(-1.2)

12 +-6

6

Among the given alternatives, the following option accurately describes the expected frequencies for a chi-square test: They can contain fractions or decimal values.

The answer is B.

A chi-square test is a statistical method used to measure the relationship between two categorical variables. The null hypothesis for a chi-square test is that there is no relationship between the variables.

The expected frequency (EF) is the number of times an outcome is expected to occur during a trial based on probabilities. In a chi-square test, the expected frequencies are calculated based on probabilities and sample sizes.

The expected frequency can be a fraction or a decimal, and it is determined by multiplying the row total and column total of each cell by the overall total and dividing it by the total number of observations.

The chi-square test statistic is calculated by comparing the observed frequencies to the expected frequencies. The test statistic is then compared to a critical value in a chi-square distribution table to determine whether to accept or reject the null hypothesis.

Hence, the answer of the question is B.

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Answer:

I think the answer is a.i^7

Answer: 3x + 5

Let's think the number as,"x".

So, 3x + 5

I can only think of this expression. But I don't know if I am correct.

Answer:

The probability that both grab oranges would be = 1/30

Step-by-step explanation:

bc 1/8 * 2/9 = 1/30

hope this helps

Answer: The probability that both grab oranges would be =1/36

Step-by-step explanation:

Given,

A bowl contains,

Apples = a = 5

Oranges = o = 2

bananas = b = 2

Total fruits in bowl = x = a + o + b = 5 + 2 + 2 = 9

Now, Christian and Aaron come home from school and randomly grab one fruit each.

The probability of first selecting orange would be = o/b =2/9

Now, the oranges left would be 2 - 1 = 1

and total fruits would be = 9 - 1 = 8

Hence, the probability of selecting second orange would be = 1/8

Therefore, the probability that both grab oranges would be = 1/8 2/9 =1/36

Answer:

4.1 and 4.2

Step-by-step explanation:

The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

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The standard deviation of the population affects the width of the confidence interval for the population mean. A larger standard deviation results in a wider confidence interval, while a smaller standard deviation results in a narrower confidence interval.

The standard deviation of the population plays a crucial role in determining the width of the confidence interval for the population mean. The formula for the confidence interval for the population mean is:

CI = X ± Z × (σ / sqrt(n))

where:

CI is the confidence interval

X is the sample mean

Z is the Z-score corresponding to the desired level of confidence

σ is the standard deviation of the population

n is the sample size

As you can see from the formula, the width of the confidence interval is directly proportional to the standard deviation of the population. The larger the standard deviation, the wider the confidence interval. This means that if the standard deviation of the population is large, then we need a larger sample size or a lower confidence level to obtain a narrower confidence interval. On the other hand, if the standard deviation of the population is small, we can obtain a narrower confidence interval with a smaller sample size or a higher confidence level.

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Answer:

820

Step-by-step explanation:

82 ten times would just put a zero next to 82 then it would make it 820 And sorry for being 6 months late.

Answer:

75.51%

Step-by-step explanation:

hopefully this helps

x/100 = 74/98

98x = 7,400

x = 7,400/98

× = 75.51 % of 98

Answer: it's answer A

Step-by-step explanation:

It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)

and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.

Answer:

7 to 8

Step-by-step explanation:

7-15=8