Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right

Answer:

If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.

Answer:

[tex]CI =6.5 \± 1.09[/tex]

Step-by-step explanation:

Given

[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]

Required

Determine the 99% t-confidence interval

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]

[tex]\bar x =\frac{130}{20}[/tex]

[tex]\bar x =6.5[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]

[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]

[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]

[tex]\sigma =\sqrt{7.15}[/tex]

[tex]\sigma =2.67[/tex]

The z score for 99% confidence interval is:  2.576

The confidence interval  is calculated as:

[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]

[tex]CI =6.5 \± 1.09[/tex]

Answer:

(3,2)

Step-by-step explanation:

Since both equations are equal to each others.

2x-4=-2x+8

2x+2x=8+4

4x=12

x=3

Substitute x = 3 in any given equations but I will substitute in the first equation.

y = 2(3)-4

y = 6-4

y = 2

Answer:

P ( x < 5050.5 ) ≈ 0.16104

Step-by-step explanation:

Total number of voters ( n ) = 10000

Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %

Candidate D eventually wins with 51% of the votes

winning ( p ) = 0.51

Applying continuity correction formula

P ( x < 5050.5 ) ≈ 0.16104

attached below is the remaining part of the solution

Answer:

Hello your question has some missing part below is the missing part

The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7

Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:

State your hypothesis and conduct a hypothesis testing using a significance of 0.10.

answer :  We will reject the Null hypothesis

Step-by-step explanation:

μ1 = mean working hours for Baltimore facility  

μ2 = mean working hours  for Burlington facility  

Hence the Hypothesis are :

H0 : μ1 = μ2

Ha : μ1  > μ2

Next:  Conduct a hypothesis testing

we will apply Z - testing attached below is the hypothesis testing

n1 = 145 , X1 = 52.5 , δ1 = 19.7  ( Baltimore )

n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )

Answer:

29

Step-by-step explanation:

[tex]\frac{9}{10} * \frac{32}{1} = \frac{288}{10} = 28.8[/tex]

Answer:

This system will have 1 solution

Step-by-step explanation:

A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.

Answer:

2nd person

Step-by-step explanation:

The term second person is used to describe a clause or piece of text in which the author is not referring to himself or herself but is referring to the second person that is you. When people being addressed are referred to in a sentence, the nature of the sentence is second person.

The likelihood of a U.S. Department of Justice challenge to the merger would depend on various factors, including market concentration, potential anticompetitive effects, and impact on consumer welfare. Without further information, it is difficult to determine definitively.

Determining whether the U.S. Department of Justice (DOJ) is likely to challenge a merger involves several factors, including market concentration and potential antitrust concerns. In this case, the firm with a 20 percent market share plans to acquire a firm with a 5 percent market share.

The DOJ is more likely to challenge a merger when it raises concerns about potential anticompetitive effects, such as creating or enhancing market power. Market concentration is a key factor in assessing antitrust issues. While a 25 percent combined market share may not necessarily trigger an automatic challenge, the DOJ will consider other factors as well.

To evaluate the likelihood of a challenge, the DOJ will assess the overall market structure, including the level of competition and the presence of other significant competitors. If the merger significantly increases concentration levels and reduces competition in the market, it may raise concerns for the DOJ.

Additionally, the DOJ will examine the potential impact on consumer welfare, pricing, and innovation. If the merger is likely to result in higher prices, reduced choices for consumers, or hinder innovation, it may trigger antitrust scrutiny.

Considering the limited information provided, it is challenging to definitively determine whether the DOJ would challenge the merger. However, a 25 percent combined market share might not necessarily be considered highly concentrated, especially if there are other significant competitors in the market. The DOJ's decision would depend on a comprehensive analysis of the specific market dynamics and the potential effects of the merger on competition and consumer welfare.

Ultimately, the likelihood of a DOJ challenge would require a more detailed examination of the specific market conditions, the potential impacts of the merger, and compliance with antitrust laws and regulations.

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Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}\times 4\times 3[/tex]

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

Answer:

f(x)=x+1 ok

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Answer:

200

Step-by-step explanation:

First we need to find the decimal version of 40%

to do this we can move the decimal point 2 spaces to the left.

40% ---> 0.40

then we can multiply by 500

This is equal to 200

Answer: 200

Step-by-step explanation: 40%=.40

500•.4=200

Answer:

Step-by-step explanation:

70

Answer:

mode is the number listed most often and data can have more then 1 mode

the numbers most listed in the image are: 5 and zero

Step-by-step explanation:

I hope this helped!

Answer:

90

Step-by-step explanation:

mode = A number that appears most often is the mode.

Answer:

1017.88 inches

Step-by-step explanation:

Area = πr2 = π x 182 ≈ 1017.87602

Answer:

(Length x Width x Height)

6x18x12=

I hope this helped! ♡+*

Answer:

she has 15 dog toys

Step-by-step explanation:

mutlipy 3 by five because the top number is one

Answer: soo

(4x^3+5x^2-3x-6)-(4x-5)

the answer is 4-^3+5x^2-7x-1

Step-by-step explanation:

Answer:

9 cubic feet

Answer:

25/500 or 5% said 'other'

Step-by-step explanation:

55% = 275 (dog)

1/10 = 50 (cat)

0.3 = 150 (bird)

Total = 475

475 out of 500 (95%) gave an answer other than 'other'

Answer:1/2

Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%

Answer: 500.

Step-by-step explanation:

Your answer is 500.

Answer:

8/15

Step-by-step explanation:

In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B

tanB = 16/30 = 8/15

Answer:

x - intercept - ( 10 , 0)

y - intercept - (0 , 8)

Step-by-step explanation:

Answer:

um.....

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

they are divisible by either 3 or 5 but not both of these numbers

Answer:

378

Step-by-step explanation:

1 digit numbers - 9

2 digit numbers - 90

Now, subtract the repeating numbers 90-9 = 81

3 digit numbers = 4*9*8 = 288  

Distinct numbers = 9+81+288 = 378 numbers

The domain of the function graphed in this problem is given as follows:

(-∞, -1) U (-1, ∞).

The vertical asymptote of the rational function graphed in this problem is given as follows:

x = -1.

Hence the function is defined for all real values except x = -1, meaning that the domain is given as follows:

(-∞, -1) U (-1, ∞).

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Solution :

Given :

[tex]$n_1 = n_2 = 40$[/tex]

[tex]$\overline X_1 = 18$[/tex]

[tex]$S_1 = 4$[/tex]

[tex]$\overline X_2 = 12$[/tex]

[tex]$S_2 =10$[/tex]

So we want to test :

[tex]$H_0 : \mu_1=\mu_2 $[/tex]   vs [tex]$H_1 : \mu_1 \neq \mu_2 $[/tex]

a). For 98% confidence interval :

[tex]$=\left((\overline X_1 - \overline X_2) \pm Tn_1+n_2-2, \alpha / 2 \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\right)$[/tex]

[tex]$=\left((18-12) \pm 2.375 \sqrt{\frac{4^2}{40}+\frac{10^2}{40}}\right)$[/tex]

[tex]$=(6 \pm 4.0445)$[/tex]

= (1.956, 10.045)