Pls answer and quick!! i'll give brainliest if right

Answer:

10x+3y=29

Step-by-step explanation:

Given points:(x1,y1)=(2,3)

                     (x2,y2)=(5,-7)

We know, the equation of line passing through two points is given by,

   y-y1={(y2-y1)/(x2-x1)}*(x-x1)

Hence,y-3={(-7-3)/(5-2)}*(x-2)

       or,y-3=(-10/3)*(x-2)

       or,3y-9= -10x+20

        or,3y+10x=20+9

        or,10x+3y=29 is the required equation.

Step-by-step explanation:

23percent *A=46

23/100*A=46

A=46*100/23

A=200

answer Is 200

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The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Answer:

See explanation below

Step-by-step explanation:

We have RO parallel to LF

Segments RF and LO are transversal segments

For two parallel lines intersected by a transversal , the alternate interior angles are equal

In this figure, there are two pairs of alternate interior angles

∠O and ∠L form one pair and are equal
∠R and ∠F form another pair and are equal

Since the point T is formed by the intersection of two straight line segments,  the vertically opposite angles must be equal
m∠RTO = m∠LTF

So in the two triangles, ΔRTO and Δ FTL we have

m∠R = m∠F
m∠O = m∠L
m∠RTO = m∠LTF

By the AAA theorem of similarity of angles the two triangles are similar

AAA Similarity Criterion for Two Triangles

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

Answer:

8.5°

Step-by-step explanation:

25 + (-8)

=25 - 8

=17 ÷ 2

= 8.5°

Answer:

\(10^{1}\)

Step-by-step explanation:

13 + 9 - 1 - 11

Add 13 and 9 to get 22.

22 - 1 - 11

Subtract 1 from 22 to get 21.

21 - 11

Subtract 11 from 21 to get 10.

10

Answer:

Step-by-step explanation:

a) The critical t-values are approximately -3.182 and +3.182.

b) If a type I error is committed in this test, it means that the null hypothesis (H₀) is incorrectly rejected when it is actually true.

Here, we have,

a) To perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ounces at =0.05, we can follow these steps:

Given:

Sample mean (x) = 12.05 fluid ounces

Standard deviation (s) = 0.085 ounce

Sample size (n) = 4

Population mean (μ) = 12.1 fluid ounces

Step 1: State the hypotheses.

Null hypothesis (H₀): The mean amount of juice dispensed is equal to 12.1 fluid ounces. (μ = 12.1)

Alternative hypothesis (H₁): The mean amount of juice dispensed is different from 12.1 fluid ounces. (μ ≠ 12.1)

Step 2: Select a significance level.

The significance level (α) is given as 0.05.

Step 3: Compute the test statistic.

Since the population standard deviation is unknown and the sample size is small (n < 30), we'll use a t-test.

The formula for the t-test statistic is:

t = (x - μ) / (s / √n)

Plugging in the values:

t = (12.05 - 12.1) / (0.085 / √4)

Step 4: Determine the critical value.

Since it's a two-tailed test and α = 0.05, we divide the significance level by 2 to get α/2 = 0.025.

The degrees of freedom (df) for a sample size of 4 is n - 1 = 3.

We can find the critical t-values using a t-table or a t-distribution calculator.

For α/2 = 0.025 and df = 3,

the critical t-values are approximately -3.182 and +3.182.

Step 5: Make a decision.

If the calculated t-value falls within the critical region (beyond the critical t-values), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Step 6: Calculate the p-value.

Alternatively, we can calculate the p-value associated with the t-value and compare it to the significance level. If the p-value is less than the significance level (0.05), we reject the null hypothesis.

Without the specific values for the mean, standard deviation, and sample size, it is not possible to perform the calculations required for Steps 3-6. Please provide those values, and I can help you complete the test of significance.

b) If a type I error is committed in this test, it means that the null hypothesis (H₀) is incorrectly rejected when it is actually true. In the context of the situation, this would lead to the machine being shut down for recalibration even though there is no convincing evidence that the mean amount of juice dispensed is different from 12.1 fluid ounces. It would result in unnecessary machine downtime and potential costs for recalibration.

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complete question:

A bottle-filling machine is set to dispense 12.1 fluid ounces into juice bottles. To ensure that the machine is filling accurately, every hour a worker randomly selects four bottles filled by the machine during thepast hour and measures the contents. If there is convincing evidence that the mean amount of juice dispensed is different from 12.1 ounces, the machine is shut down for recalibration. It can be assumed that the amount of juice that is dispensed into bottles is normally distributed. During one hour, the mean number of fluid ounces of four randomly selected bottles was 12.05 and the standard deviation was 0.085 ounces.

a) Perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ouncesat=0.05.

b) Suppose you commit a type I error in this test, what would be a logical consequence of the machine given the context of the situation?

Answer:

A. -16

Step-by-step explanation:

6 times -16 = -96 + 24 = -72

4 times -16 = -64 + 12 = -52

Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

Answer: Krista put 0.40 in the first equation meant for the number of stamps

Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.

The system of equations should have been,

x + y = 45 ----------(1)

0.40x + 0.55y = 18.75 ----------(2)

From equation (1), let x be the subject of the equation and hence x = 45 - y

Substitute for the value of x into equation (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

When y has been calculated as 5, substitute for the value of y into equation (1)

x + y = 45

x + 5 = 45

x = 45 - 5

x = 40

The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.

This answer could not have been derived due to the mistake Krista committed when writing the equations.

Answer:

a

Step-by-step explanation:

Answer:

m<2 = 65

Step-by-step explanation:

The measures of angles 1 and 3 should be added together resulting in 115 degrees, and all triangles equal 180 degrees. Therefore, to find m<2, you have to subtract 115 from 180 resulting in a measure of 65 degrees.

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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The total cost of the principal and interest after 30 years is $788,489.94 (approx). The correct option is D. $788,489.94.

Here, Principal = $315,000

Interest rate = 7.35%

Term of mortgage = 30 years

Total cost of the principal and interest can be found using the formula; T = (P x (r/n) x (1 + r/n)(n x t))/(1 + r/n)(n x t) - 1

Where, T = Total cost of the principal and interest

P = Principal

r = Rate of interest per annum

n = Number of payments per year

T = Term of the mortgage

In this question, P = $315,000

r = 7.35%/yr = 0.0735/y

rn = 12/yr (12 monthly payments in a year)

t = 30 years

Substituting all the values in the formula, T = ($315,000 x (0.0735/12) x (1 + 0.0735/12)(12 x 30))/(1 + 0.0735/12)(12 x 30) - 1≈ $788,489.94

Hence, D is the correct option.

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The diagrams showing pairs of adjacent angles and the given description is shown in the attachments below.

Adjacent angles are angle that share the same vertex and also has a side in common.

a. An obtuse angle is greater than 90°.

Figure 1 shows a pair of adjacent angles that are obtuse which are ∠ABD and ∠CBD

b. Figure 2 shows two adjacent angles, ∠ABD and ∠CBD whose sum equals 180 degrees.

c. Figure 3 shows two adjacent angles, ∠ABD and ∠CBD whose sum equals 60 degrees.

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Answer:

correct answer is B

Step-by-step explanation:

Hope this helps

Answer:22,000

Explanation:

21.933=21.930

21.930= 21.900

21.900 = 22,000

Answer:

Step-by-step explanation:

combine like terms

-7x + 3x - 15y - 2y

-4x - 17y

Answer:

this is confusing

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the distribution is approximately normal, we can use the empirical rule to estimate the mean and standard deviation.

According to the empirical rule:

Approximately 68% of the data falls within 1 standard deviation of the mean

Approximately 95% of the data falls within 2 standard deviations of the mean

Approximately 99.7% of the data falls within 3 standard deviations of the mean

From the information given in the problem, we know that:

10% of women are less than 60.8 inches tall

10% of women are more than 67.6 inches tall

So, we can estimate the mean height as the midpoint between 60.8 and 67.6:

mean = (60.8 + 67.6) / 2 = 64.2 inches

We also know that 80% of women are between 60.8 and 67.6 inches tall. Since this is approximately 1 standard deviation from the mean (on either side), we can estimate the standard deviation as:

standard deviation = (67.6 - 64.2) / 1 = 3.4 inches

Therefore, the mean height is approximately 64.2 inches and the standard deviation is approximately 3.4 inches.

The slope of line from the given graph is 4/3.

The coordinates of line from the given graph are (4, 3) and (1, -1).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Now, put (x1, y1) = (4, 3) and (x2, y2) = (1, -1) is slope formula, we get

Slope = (y2-y1)(x2-x1)

= (-1-3)/(1-4)

= 4/3

Therefore, the slope of line from the given graph is 4/3.

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The correct option is (b) sample size.

In the formula for calculating the standard deviation, the letter n represent  sample size.

What is standard deviation?

Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.

Some key features regarding the standard deviation are-

A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:

Standard Deviation = \(\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }\)

Where,

\(x_{i}\)= value of the i th point the the given data set.

\(barx\)= mean value

n = total number of data points.

Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.

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The measures of all the angles of a parallelogram are equal, i.e. they are 180° each.

If O is one of the angles, then its opposite angle is P.

Likewise, if E is one of the angles, then its opposite angle is H.

Therefore, we have the following measurements:

OP = 9x + 24SH

= 3x + 12

OP + H = 180°

⇒ 9x + 24 + 3x + 12 = 180°

12x + 36 = 180°

12x = 144°

x = 12°

OP = 9(12) + 24

= 132°

SH = 3(12) + 12

= 48°

HE = OP

= 132°

∠H = ∠E

= 180° - ∠OP

= 180° - 132°

= 48°∴

The measures of all the angles of the HOPE parallelogram are 132°, 48°, 132°, and 48° respectively.

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Answer: The slope is equal to "-3".

Explanation: You can obtain the slope of a linear graph if you know two points on it. In this case, these points are (-2,3) and (0, -3).

If you know these points, you can use the formula below:

Slope = (Difference between y values) / (Difference between x values)

Here => 3 - (-3) / (-2) - (0) = -3, this gives the slope.

In addition, we can conclude that the formula of the graph is (y = -3x - 3), by using a specific point with the known slope value on a linear equation (mx + n).

Address is a qualitative variable, which describes the location of a person or object.

It typically refers to the physical address of a place (e.g. street, town, city, state, country), but can also include virtual addresses such as an email address.

Qualitative variables like address cannot be measured numerically, as they are not expressed as numbers, but instead as words or symbols.

Qualitative data can be used to describe the characteristics of an individual or object, and can be used in research to identify patterns or trends in a population.

For example, address data can be used to identify areas of high population density or to analyze the geographic spread of a particular product. Qualitative data is also important for understanding the social and cultural context of a person or object.

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Answer:

-3+\(4x^{2}\)

Step-by-step explanation:

Answer:

79.2% (to the nearest tenth)

Step-by-step explanation:

use the percent change formula:

PC = [ (difference between initial value and final value) ÷ initial value] x 100

= [(77-16) ÷77] x 100

= 79.22077922...

= 79.2% (to the nearest tenth)

Answer:

10/8 or 5/4

Step-by-step explanation:

It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.

1/8 * 10 = 10/8

If you want we can simplify it.

5/4

And that's your answer!

Answer:

whats the question

Step-by-step explanation:

Answer:

the last three

Step-by-step explanation:

cuz im big brains like that

Answer:

Step-by-step explanation:

x+75=85 is incorrect as x+75=95

so C is wrong