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2. Triangle ABC has angle measures as shown.

(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.

Answer:

B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Option A:

No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.

Option B:

Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.

Option C:

No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.

The obtuse angles from the given list are D (between 90° to 180°) and E (111° angle). Thus, the answer is D, E.

The angles are given as follows:

A: less than 45°

B: greater than 270°

C: right angle

D: between 90° to 180°

E: A 111° angle

F: A 222° angle

G: A 0.180° angle

H: A 180.180° angle

To identify which angles are obtuse, we need to determine the angles that are greater than 90 degrees but less than 180 degrees.

Among the given angles:

A: less than 45° (not obtuse)

B: greater than 270° (not obtuse)

C: right angle (not obtuse)

D: between 90° to 180° (obtuse)

E: 111° angle (obtuse)

F: 222° angle (not obtuse)

G: 0.180° angle (not obtuse)

H: 180.180° angle (not obtuse)

Therefore, the obtuse angles from the given list are:

D (between 90° to 180°)

E (111° angle)

The answer is D, E.

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Answer:

45%

Step-by-step explanation:

40 * .45 = 18

40-18 = 22

The percentage decrease of an item would be 45%.

The percentage is defined as a ratio expressed as a fraction of 100.

We can determine the value of the percentage decrease by the following formula,

percentage decrease = (initial value - reduced value) / initial value × 100%

As per the given question, we have

initial value = $40, and reduced value = $22

Substitute the values in the above formula, and we get

percentage decrease = (40 - 22) / 40 × 100%

percentage decrease = (18) / 40 × 100%

percentage decrease = 0.45 × 100%

Apply the multiplication operation, and we get

percentage decrease = 45%

Thus, the percentage decrease of an item would be 45%.

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Answer: 3 feet tall

Step-by-step explanation:

50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.

Answer:

3 one

Step-by-step explanation:

seems logical hope this helped

Answer:

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Step-by-step explanation:

The weights should be within 0.5% of the actual weight measured.

15.0 pounds

0.005*15 = 0.075

Tolerance of 0.075 pounds

15 - 0.075 = 14.925 pounds

15 + 0.075 = 15.075 pounds

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Answer:

$80.99

Step-by-step explanation:

Turn the percentage into a decimal.

19% -> 0.19

Multiply.

99.99 * 0.19 ≈ 19

Subtract.

99.99 - 19 = 80.99

Best of Luck!

Answer:

Sampling bias

Step-by-step explanation:

Bias refers a prominent problem in statistical analysis whereby one or more analytical factor are favored than the other during an analysis which should be made random. The problem. With Graham's dissertation study is the fact that he failed to randomlyvplace his subjects or observation in the study groups, favoring a particular group with non random subset. When randomization is ejected or missing from an analysis or study, it becomes less and less representative. Here, allotting early Arrivals Into the treatment group has introduced a sampling bias as those who came later, this will also leads to less reproducibility of experiment.

Answer:

[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

*Note:

This is a known derivative (apply trigonometric differentiation).

Step 1: Define

Identify

[tex]\displaystyle y = sech(u)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

Step-by-step explanation:

x, 30 - x add to 30.  The other condition says

x (30 - x) = 176.  Multiply it out.

30x - x^2 = 176, so

x^2 - 30x = -176, complete square by adding 15^2 to both sides

(x - 15)^2 = 225 - 176 = 49, take square root

x - 15 = 7,  so one number is:

x = 22 and the other is 30 - x = 8.

Answer:

I think its 144!!!!!!!!!!!!!!!!!!

Answer:

Diagram 2  (Bottom diagram)

Step-by-step explanation:

The ratio is twice as many (2)

2:1

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

Answer:

0.72

Step-by-step explanation:

Answer:

107%=16.06

Step-by-step explanation:

im pretty sure that's it, if its not please correct me.

Answer:

Geometric Sequence

Step-by-step explanation:

It's a geometric sequence because it has a common ratio of -3.

Answer:

Step-by-step explanation:

1.40x = 180.49

x= $128.92

Answer:

Step-by-step explanation:

100%-17.5%= 82.5%

82.5% (divide) 82.5%= 1%

so (1% of the orginal price)=

£264 (divide) 82.5%= £320= original price

The price of the computer is reduced by £56 which is 17.5% of £320.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The price of a computer is reduced by 17.5% and the reduced price is £264.

Let the original price be '£x'.

So, (100 - 17.5)% = 82.5% of '£x' is  £264.

∴ (82.5/100)×x = 264.

0.825x = 264.

x = 264/0.825.

x =  £320.

So, The price reduced is (320 - 264) =  £56.

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Answer:

78.5 feet OR (25 x pi) feet

Step-by-step explanation:

You need to find the circumference.

C = 25 x 3.14

C = 78.5 feet

           OR

C = 25 x pi

Hope that helps!

Answer:

2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]

Step-by-step explanation:

= 8 [tex]\sqrt{16}[/tex][tex]\sqrt{3}[/tex] - 6[tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] + 7[tex]\sqrt{16}[/tex][tex]\sqrt{5}[/tex]

= 8(4)[tex]\sqrt{3}[/tex] - 6(5)[tex]\sqrt{3}[/tex] + 7(4)[tex]\sqrt{5}[/tex]

= 32[tex]\sqrt{3}[/tex]  - 30[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]

Answer:

C. 2

Step-by-step explanation:

[tex]3 \frac{1}{2} \times \frac{4}{7} \\ = \frac{3 \times 2 + 1}{2} \times \frac{4}{7} \\ = \frac{7}{2} \times \frac{4}{7} \\ = 2[/tex]

hope it helps :)

Answer:

C

Step-by-step explanation:

3 1/2 = 7/2

4/7 = 4/7

7/2 x 4/7 = 28/14 or 2

9514 1404 393

Answer:

  the numbers are -10 and -11

Step-by-step explanation:

Let x represent the second number. Then the first number is x+1, and the relation can be written ...

  5(x+1) = 4x -6

  x = -11 . . . . . . . . subtract 4x+5

The first number is -10; the second number -11.

Answer:

It would be the first choice, A'B'C'D' with points (-4, 4); (12, 4); (12, -4); and (-4, -4)

Step-by-step explanation:

Each point on rectangle A'B'C'D are 4 times the original distance from the origin as the rectangle ABCD.

Answer:

Ummm the first choice?

Step-by-step explanation:

I guessing and not reading

Answer:

Can’t trust anyone these days fake is becoming the new trend.

400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

A set of financial statements with a budgeted amount are created using the percentage-of-sales approach. The predicted sales level for the budget period is calculated by converting each historical cost into a percentage of net sales.

It is given that,

Total number of chocolate cupcakes sold = 48

Let the x be the cupcakes that will be sold by the bakery on that day

According to the given condition, 12% of the total number of cupcakes is 48.

⇒12% of x = 48

⇒(12/100) × x =48

⇒x=(48×100)/12

⇒x=400

Thus, 400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.

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