Find the length of VT

Answer:

Step-by-step explanation:

Answer:

ok! what do u need help on???

Answer:

Yes, the answer is 4.

Step-by-step explanation:

Because it grows 4x times per x value. 20-24-32...

Answer:

(a) H₀: p = 0.11 vs. Hₐ: p > 0.11.

(b) A type I error occurs when we discard a true null hypothesis (H₀) and a type II error is made when we fail to discard a false null hypothesis (H₀).

Step-by-step explanation:

A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus.

From past data, it is believed that 11% of all Americans are left-handed.

The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left-handed people than the general American population.

(a)

The hypothesis can be defined as follows:

H₀: The percentage of left-handed people in the college is 11%, i.e. p = 0.11.

Hₐ: The percentage of left-handed people in the college is more than 11%, i.e. p > 0.11.

(b)

A type I error occurs when we discard a true null hypothesis (H₀) and a type II error is made when we fail to discard a false null hypothesis (H₀).

In this case, a type I error would be committed if it is concluded that the percentage of left-handed people in the college is more than 11% when in fact it is 11%.

And, a type II error would be committed if it is concluded that the percentage of left-handed people in the college is 11% when in fact it is more than 11%.

The percentage of people with blood pressure below 133 is 78.81%.

First, we need to calculate the Z-score for the value 133 using the formula:

Z = (X - μ) / σ

where X is the value (133), μ is the mean (121), and σ is the standard deviation (15).

Z = (133 - 121) / 15

Z = 12 / 15

Z = 0.8

Next, we can use a standard normal distribution table or a calculator to find the area under the curve to the left of the Z-score 0.8.

Looking up the Z-score of 0.8 in the standard normal distribution table, we find that the area to the left of 0.8 is 0.7881.

Therefore, the percentage of people with blood pressure below 133 is 78.81%.

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Part (a)

\(v=22(3)^{d/10}\)

Part (b)

We can rewrite the function as \(v=22(3^d)(3^{1/10})\). Thus, the percentage is \(100(1-3^{1/10})=11.6\%\)

A model for the number of views, v, as a function of the number of days, d, since there were 22 views is \(v = 22(3)^{d/10}\) and the views increasing per day by 11.6%.

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

Given that, The total views of an online video are tripling every ten days. Initially there are 22 views of the video, v represents the number of views and d represents days

a) Since the number of views are tripling every ten days, so, the function will be =  \(v = 22(3)^{d/10}\)

b) We have function \(v = 22(3)^{d/10}\)

So, percentage = \(100(1-3^{1/10})\) = 11.6%

Hence, A model for the number of views, v, as a function of the number of days, d, since there were 22 views is \(v = 22(3)^{d/10}\) and the views increasing per day by 11.6%.

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Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Answer:

Step-by-step explanation:

15% of 400

15/100*400

15*400/100

6000/100

60

therefore ur answer is 60

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 \)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

B, C, D and E. A and F are incorrect

Step-by-step explanation:

The missing quantities are

Social Security= $217

Medicare = $‭50.75‬

Net Pay is $‭2,633.67‬

First, Taxable income is therefore;

= 3,500 - (76.90 x 4 )

= $‭3,192.4‬0

Federal Income Tax (FIT).

With taxable income of $‭3,192.4‬0, the tax is $565.15 plus 28% of anything above $‭3,073.

= 565.15 + (28% x (‭3,192.4‬0 - 3,073))

= 565.15 + 33.43

= $‭598.58

and, Social Security

= Gross pay x 6.2%

= 3,500 x 6.2%

= $‭217‬

and, Medicare

= 3,500 x 1.45%

= $‭50.75‬

Then, the Net Pay

= 3,500 - 598.58 - 217 - 50.75

= $‭2,633.67‬

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Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

Answer:

\(\huge\boxed{x=\sqrt{30}}\)

Step-by-step explanation:

ΔABC and ΔBDC are similar (AAA).

Therefore the corresponding sides are in proportion:

\(\dfrac{AC}{BC}=\dfrac{BC}{CD}\)

substitute

\(AC=7+3=10\\{BC}=x\\CD=3\)

\(\dfrac{10}{x}=\dfrac{x}{3}\)           cross multiply

\((10)(3)=(x)(x)\\\\30=x^2\\\\x^2=30\to x=\sqrt{30}\)

5/6 = 0.8333...

0.8333... / 3 = 0.27666...7

The width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.

As per the question statement, The perimeter of a rectangular price tag is 28 centimeters. Its length is 4cm. We are supposed to find its width and area.

Let width be \(w\)

Perimeter = \(2(length*width)\)

\(28=2(4+w)\\w=14-4\\w=10cm\)

Hence width is 10 cm

Now area of rectangle = \(length*width\)

Area = \(4*10=40cm^{2}\)

Hence area is 40 centimeter square.

Therefore the width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.

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a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer:

You have to Divide

Step-by-step explanation:

Answer:

letter c the BD= 10

Step-by-step explanation:

Answer:

BD=10

Step-by-step explanation:

1. BAD=BCD=60

Therefore

BA = BC (sides opposite to equal angles are equal)

BA=20

Therefore BC=20

2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)

60+60+ABC=180

ABC=180-120

ABC=60

ABC=BAC=BCA

Therefore ABC is an equilateral triangle

AC=20

4. AC=AD+DC

AD=DC (BD is a perpendicular bisector)

Therefore

AC=2×AD

AC=20

20=2×AD

AD=20÷2

AD=10

Hope this helps!

The angle  made by one of the tensions suspending particle P is 50⁰.

The angle θ made by one of the tensions is calculated by applying trig identities as follows;

the force opposite the angle = weight of the block = mg

W = 7.75 kg x 9.8 m/s²

W = 75.95 N

The angle θ made by one of the tensions is calculated as follows;

cos θ = (38 N ) / ( 59 N)

cos θ = 0.6441

θ = arc cos (0.6441)

θ = 50⁰

Thus, the angle θ made by one of the tensions is determined as 50 degrees.

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The missing part of the question is in the image attached.

Answer:

A.4.16

B. 4 R 12

Step-by-step explanation:

I'm justing going around answering my friends question Imao

Answer:

Step-by-step explanation:   5 17 7 22

the long leg would be opposite the middle angle 60°,  the hypotenuse is opposite the 90° angle thus leaving the 30° is opposite the short leg

1) use sin Θ = opp / hyp       sin 60° = 12 / hyp    to find the hypotenuse

1) use sin Θ = opp / hyp       sin 30° = opp/ hyp    to find the short leg

      hyp = 12 / sin(60)       = 13.856  hypotenuse

      opp = (12 / sin(60)) (sin 30)     =  6.92   short leg

short leg ²  + long leg ²  = hypotenuse ²

     48         +     144        =     192          sum of the legs squared = hyp²

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

x = {2, -10}

Step-by-step explanation:

In this equation, you can solve for x like this:

To get 2:

3x + 12 = 18 (Subtract 12 from both sides)

3x = 6 (Divide both sides by 3)

x = 2

To get -10:

3x + 12 = -18

3x = -30

x = -10

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area is made up of four triangles and a square base, so the area is four times the area of the triangle plus the area of the base.

A=4(5)(6)/2+5(5)

A=60+25

A=85

The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

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In physics, work is energy transferred to or from an object by applying a force along a displacement and the work done in the given situation is 120J.

In physics, work is energy transferred to or from an object by applying a force along a displacement.

In its simplest form, work done with a constant force in the direction of motion is equal to the product of the force and the distance traveled.

Expressing this concept mathematically, the work W is equal to the force f multiplied by the distance d, or W = fd.

If the force is applied at an angle θ to the displacement, the work done is W = fd cos θ.

So, the work done is calculated as follows:

W = 40lb*3ft

W = 120 J

Therefore, the work done in the given situation is 120 J.

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Step-by-step explanation:

x/4=9+14

x/4=23

x=92

iget 92