Here is my question
Which statement can be used to classify this triangle as an isosceles triangle?
Angle F is a right angle.


Sides DE and EF are congruent.


Sides FD and DE are congruent.


Sides EF and FD are congruent.

Answer:

C.

Step-by-step explanation:

Answer:

184.2 in^3

Step-by-step explanation:

vol of cone=

\(\pi {r}^{2} \frac{h}{3} \)

\(3.14 \times 16 \times \frac{11}{3} \)

=184.2

Answer:

G

Step-by-step explanation:

Therefore, the option \(G(-1,1)\) is correct.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given inequality equation

\(3x- 2y \geq -1\)

When the points \((-1,1)\) so it would be

\(3(-1)-2(1)\geq -1\\\\-3-2\geq -1\\\\-5\geq -1\)

Hence, the option \(G(-1,1)\) is correct.

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Answer:

(47.3, 54.1)

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 1.96\frac{10.4}{\sqrt{35}} = 3.4\)

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3

The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1

The answer is (47.3, 54.1).

Answer:

C. can have more than one factor, each with several treatment groups.

Step-by-step explanation:

A completely randomized design can be used in experimental research of a primary factor or multiple factors. The factors could have several treatment groups which are assigned in a random manner. For example, a researcher, could want to determine the effect of a drug against a disease on a class of people. To do this, he designs a treatment group with different concentrations of the drug and a placebo group. He then gets an equal number of subjects, randomly assigning them to each of the groups. The effect of both treatments are compared to know if the drug is indeed effective against the disease the researcher is experimenting on.

Completely randomized design has found application in agricultural and environmental researches.

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer: i'm going to assume, this needs to be a full answer

meaning this would be

43.9823 inches (or 44 if fully rounded)

basically, to find arc length, you take the given degrees shown (210) and divide it over the full length of the circle (360)

dividing this gives us 58.333333 (repeated forever) or 7/12

then we need to find the circumference, which is c=pid (or c=pi times diameter)

so we would do 24 multiplied by 3.14159 (this is standard amount of numbers for naturally calculating pi in equations) and we get 75.39816

finally, we need to multiply 75.39816 to 7/12, and we will get 43.98226

which when rounded to the 4th digit will give us 43.9823

Answer with step-by-step explanation:

The formula to find the arc length of a circle is:

\(\sf \red {Arc\: length = \frac{\theta}{360} *2 \pi r}\)

PQ major arc length

\(\sf Arc\: length = \frac{\theta}{360} *2 \pi r\\\\\sf Arc\: length = \frac{210}{360} *2 \pi*12\\\\\sf Arc\: length = \frac{15825.6}{360} \\\\\sf Arc\: length = 43.96\: in\)

PQ minor arc length

\(\sf Arc\: length = \frac{\theta}{360} *2 \pi r\\\\\sf Arc\: length = \frac{150}{360} *2 \pi*12\\\\\sf Arc\: length = \frac{11304}{360} \\\\\sf Arc\: length = 31.4\: in\)

Answer:

x = 5

<R = 47 degrees

<S = 47 degrees

<T = 86 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180degrees

Given triangle RST

<R + <S + <T = 180

9x + 2 + 13x - 18 + 17x +1 = 180

39x - 15 = 180

39x = 180 + 15

39x = 195

x = 195/39

x = 5

Get <R

<R = 9x + 2

<R = 9(5) + 2

<R = 47 degrees

Get <S

<S = 13x-18

<S = 13(5) - 18

<S = 65-18

<S = 47 degrees

Get <T

<T = 17x + 1

<T = 17(5)+1

<T = 85+1

<T = 86 degrees

Answer:

x is -1/b yw

Step-by-step explanation:

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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The given function  x^2 - 12x+36 can be written in vertex form as

y=(x-6)^2 .

What is Quadratic Equation?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where a,,b,c are constants.

Given,

to find the vertex form for each function,

Given function x^2 - 12x+36

(x^2 - 12x ) can be written as the (x-6)^2-36

so , let

y = x^2-12x+36 .

y =  (x-6)^2-36 + 36

y = (x-6) ^2+0

y-0 = (x-6)^2 .

So, in this way the completing the square method works.

Hence, The given function  x^2 - 12x+36 can be written in vertex form as

y=(x-6)^2 .

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Answer:

below

Step-by-step explanation:

that is the solution above

Answer:

2.6 pounds

Step-by-step explanation:

$6.24 (total amount spent) / $2.40 (price per pound) = 2.6 pound purchased

I hope this helps :)

Answer:

HOLA

Step-by-step explanation:

This is what it feels like when you wrote "Hola" on my questions

Answer:

To create a residual plot, you need to first fit a model to the data. Without any information about the problem you are trying to solve or the model you are fitting, I will assume that you are trying to fit a linear regression model to these data points.

First, you would need to find the equation of the line that best fits the data using a regression analysis software or by hand. Let's assume that the equation of the line is:

y = 0.2x + 2.5

where y is the response variable (dependent variable) and x is the predictor variable (independent variable).

Next, you would calculate the predicted values of y (i.e., the values that the model predicts) for each value of x in your dataset, using the equation of the line. For example, for the first data point (13.8, 1.42), the predicted value of y would be:

y_predicted = 0.2 * 13.8 + 2.5 = 5.06

The residual for this data point would be the difference between the actual value of y and the predicted value of y:

residual = 1.42 - 5.06 = -3.64

You would repeat this process for each data point in your dataset, to get a list of residuals.

Answer: triangle 1, triangle 2, and triangle 3

Step-by-step explanation:

Triangles 1 and 3 are congruent by SAS. So, by CPCTC, all three sides are congruent, making triangle 2 congruent to them as well by SSS.

Answer:

  C.  Δ1 ≅ Δ3

Step-by-step explanation:

There are five (5) congruence postulates that tell the ways triangles can be proven congruent. Their abbreviations are ...

  SSS, SAS, ASA, AAS, HL

Two plane figures are congruent if all corresponding sides are identical in length (congruent), and all corresponding angles are identical in measure (congruent). Showing triangle congruence is simplified somewhat by the requirement that the sum of angles is always 180°. That means any two angles are sufficient to define the third.

In the above list of congruence postulates, S represents corresponding sides, and A represents corresponding angles. The sequence of S and A represents the sequence of the corresponding parts in the triangle. You note there is no SSA postulate, because there are cases where these measures in this order give rise to two different (not congruent) triangles. The HL postulate (hypotenuse-leg) is an exception, where the angle is a right angle.

In the given figures, we can use the double hash marks on the line segments to mean this is a side that is congruent to a corresponding side (somewhere). Similarly, we can use the angle arc and angle measure to mean this angle is congruent to one with the same measure (somewhere). Then the congruence postulates we need to use with the different triangles are ...

We notice the only two triangles that have corresponding sets of given values are Triangle 1 (SAS) and Triangle 3 (SAS).

That is, triangles 1 and 3 are congruent by the SAS postulate.

__

Additional comment

The unfortunate case of non-unique triangles arises when SSA has the angle opposite the shorter side (the first S). Only the HL case can guarantee the angle is opposite the longest side (90° is opposite H). Even if the angle is somehow known to be opposite the longer side, there is no SSA postulate that can be invoked to demonstrate congruence.

The isosceles triangle of Triangle 4 could be shown to be congruent to one similarly marked, because one angle in an isosceles triangle is sufficient to define all three. However, in this problem statement, there is no triangle similarly marked.

The average number of viewers over the two weeks is 3.85 x 10 ^4

The given parameters are

Week 1 = 3.6 x 10 ^4 viewers

Week 2 = 4.1 x 10 ^4 viewers

The average is calculated as

Average = (Week 1 + Week 2)/2

This gives

Average = (3.6 x 10 ^4 + 4.1 x 10 ^4)/2

Evaluate the sum

Average = (7.7 x 10 ^4)/2

Evaluate the quotient

Average = 3.85 x 10 ^4

Hence, the average number of viewers over the two weeks is 3.85 x 10 ^4

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Answer:

20 flowers at sides and 4 flowers at the corner then

total flowers are 24

cost of 2 flowers is 6 then of one flower will be 3

total cost of the flowers will be 24×3=72

Step-by-step explanation:

Answer:

A. X= 15

Step-by-step explanation:

2x + 3(x - 10) =45

2x + 3x - 30 = 45

5x = 45 + 30

X = 75/5

X = 15

For part a, you can use a chi-squared test to determine whether the variance in the sample exceeds the maximum acceptable variance in the population.

The null hypothesis for this test is that the variance in the sample is equal to or less than the maximum acceptable variance, and the alternative hypothesis is that the variance in the sample is greater than the maximum acceptable variance.

To perform the test, you need to first calculate the chi-squared statistic, which is given by:

X² = (n-1) * s² / σ²

where n is the sample size (in this case, 15), s is the sample standard deviation (in this case, 0.014 inches), and σ is the maximum acceptable variance (in this case, 0.0001 inches).

Plugging in the values, you get:

X² = (15-1) * .014² / .0001² = 27.44

Next, you need to determine the degrees of freedom for the test. In this case, the degrees of freedom is equal to the sample size minus 1, so the degrees of freedom is 14.

With the chi-squared statistic and the degrees of freedom, you can look up the p-value in a chi-squared table or use a chi-squared calculator to determine the p-value. The p-value is the probability of observing a chi-squared statistic as large or larger than the one you calculated, assuming the null hypothesis is true.

If the p-value is less than the significance level (in this case, .10), then you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance. In this case, the p-value is between 0.01 and 0.025, so you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance.

For part b, you can use a t-test to construct a 90% confidence interval estimate of the variance in the population. The confidence interval is an interval estimate of the true variance in the population, and the 90% confidence level means that there is a 90% probability that the true variance in the population falls within the confidence interval.

To construct the confidence interval, you first need to calculate the standard error of the variance, which is given by:

SE = s / √(n-1)

where s is the sample standard deviation and n is the sample size. Plugging in the values, you get:

SE = 0.014 / √(15-1) = 0.0041

Next, you need to determine the t-value for the confidence interval. The t-value is based on the degrees of freedom and the confidence level. With 14 degrees of freedom and a 90% confidence level, the t-value is 1.76.

With the standard error and the t-value, you can construct the confidence interval as follows:

Lower bound = s² - t * SE = .014² - 1.76 * 0.0041 = 0.00012 inches

Upper bound = s² + t * SE = .014² + 1.76 * 0.0041 = 0.00042 inches

Therefore, the 90% confidence interval estimate of the variance of the ball bearings in the population is .00012 to .00042 inches.

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Answer:

  (c)

Step-by-step explanation:

You want the graph that has a domain of x ≥ 5.

The domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.

Graph C is like that.

Answer:

The LCM for 6 and 18 is 18.

Answer:

2/3

Step-by-step explanation:

Answer:

y=x2−16x+73

Step-by-step explanation:

yea

Answer:

x = 1

y = 7

Step-by-step explanation:

y = -x + 8

-y= -2x - 5 (Switch the signs of y = 2x + 5)

0= - 3x + 3 (Subtract both equations)

3x = 3 (Add 3x on both sides)

x = 1 (Divide by 3 on both sides)

y = -1 + 8 (Plug x as 1 in the equation y = -x + 8)

y = 7 (Simplify)

Leading to the answer

x = 1

y = 7

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

Step-by-step explanation:

111×111= 12321

222×222=49284

111 x 111 = 12321

222 x 222 = 49284

Hope this helps :))

Answer:c

Step-by-step explanation: did the test

Answer:

x-y=0

Hope this helped