What is the value of x

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X= ____

To construct a 98% confidence interval,  the critical value is 2.624.

We have,

98% Confidence Interval

Sample size, n= 15

At 98%,

Degree = n-1

             = 15-1= 14

So, For a 98% confidence level with 14 degrees of freedom, the critical value is 2.624.

Therefore, to construct a 98% confidence interval, the critical value is 2.624.

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Answer:

first collects 17, second 34 and third 29

Step-by-step explanation:

Total amount to be shared = 80.00

If first person received x

second received y

Third received z

If the second will have twice as much as the first, then;

y = 2x

x = y/2

If the third will have P. 5.00 less than the second, then

z = y-5

y = z+5

Substitute both equation in original equation

x+y+z = 80

y/2 + y + y-5 = 80

y + 2y + 2y -10 = 160

5y = 160+10

5y = 170

y = 170/5

y = 34

x = y/2

x = 34/2

x = 17

z = y - 5

z = 34-5

z = 29

Hence the first collects 17, second 34 and third 29

Answer:

95°

Step-by-step explanation:

By exterior angle theorem:

y = 120° - 25° = 95°

Hope it helps you in your learning process

Answer

x=5 y=2

Step-by-step explanation:

Answer:

86 cm^2.

Step-by-step explanation:

We can split this into 2 small trapezia at the top, a rectangle in the centre and one triangle at the bottom.

Area of one small trapezium =  1/2 * 2 * (2 + 6) = 8 unt^2

Area of two of these = 16 unit^2.

Area of rectangle = 3*12 = 36 units^2.

Area of the triangle =  1/2 * 6 * 12 = 36 unit^2.

Total area = 16 +36 + 36

=  86 cm^2.

The sampling method that is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country is A. Simple random sampling, because the people in the sample are accessible and available

Sampling is the process of selecting the group from which you will collect data for your research. For example, if you want to know what students think at your university, you could survey 100 of them. In statistics, sampling allows you to test a hypothesis about a population's characteristics.

Simple random sampling is a type of probability sampling in which a subset of participants is chosen at random from a population. Each person in the population has an equal chance of being chosen. The data is then collected from as large a percentage of this random subset as possible.

Based on the information illustrated, the correct option is A.

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Answer: D) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

Step-by-step explanation: Just took the test and got this right, also simple random sampling one small town wouldn't be an accurate sample for the entire country, and cluster sampling is better since the question inquired about the entire country... If that makes any sense lol.

Reactions at points A, C, and F are as follows: RA = -RC, RAy = RCy, and RF = 10 kN.

To determine reactions at points A, C, and F for the assembly consisting of two 10mm diameter rods (A-B and C-D), a 20mm diameter rod (E-F), and a rigid bar (H), with point G located midway between points E and F, and a force of 10 kN applied:

First, calculate the cross-sectional areas of the rods:
A1 = π(10mm)² / 4 = 78.54 mm² (for rods A-B and C-D)
A2 = π(20mm)² / 4 = 314.16 mm² (for rod E-F)

Next, calculate the effective modulus of elasticity for each rod:
E1 = E2 = 101 GPa

Now, use equilibrium equations to determine reactions at points A, C, and F:
ΣFx = 0: RAx + RCx = 0
ΣFy = 0: RAy + RCy + RF = -10 kN
ΣMG = 0: (RAy)(L/2) - (RCy)(L/2) = 0

Solving the equilibrium equations, we get:
RAx = -RCx
RAy = RCy
RF = 10 kN

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The probability that the sample average falls outside the 3-sigma control limits of the X-bar chart is 0.27%.

The 3-sigma control limits are calculated using the standard deviation of the process. If the process is in control, then 99.73% of the sample averages will fall within the 3-sigma control limits. The remaining 0.27% of the sample averages will fall outside the control limits.

In this case, the sample size is 4, which is smaller than the sample size of 9 that was used to construct the control chart. This means that the control limits for the sample of size 4 will be narrower than the control limits for the sample of size 9.

As a result, the probability that the sample average falls outside the control limits will be higher for the sample of size 4.

Specifically, the probability that the sample average falls outside the 3-sigma control limits for a sample of size 4 is 0.27%. This means that there is a 0.27% chance that the new employee will observe a sample average that falls outside the control limits, even if the process is in control.

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Answer:

y = 6

Step-by-step explanation:

Given the graph, we need to know that x is a vertical line while y is a horizontal line.

That being said, we also see that the horizontal line passes through 6 of y.

So if y is horizontal and the horizontal line passes through y of 6, our answer comes to be.

\([y = 6]\)

Correct question is;

A rectangular storage container with an open top has a volume of 20 m³. The length of its base is twice its width. Material for the base costs $20 per square meter; material for the sides costs $8 per square meter. Express the cost of materials as a function of the width of the base.

Answer:

C = 40W² + 480/W

Step-by-step explanation:

We are given;

Volume; V = 20 m³

Length of base is L

Width of base is W

We are told L = 2W

Formula for volume of a cuboid = LWH

Thus;

20 = 2W × W × H

20 = 2W²H

H = 10/W²

Now, we are given cost of materials for base and sides.

Formula for base area = LW = 2W²

Formula for side areas = 2(LH) + 2(WH) = 2(2WH) + 2WH = 6WH = 6W(10/W²) = 60/W

Cost per Sq.m of base = $20.

Thus, base cost = 20(2W²) = 40W²

Cost per Sq.m of sides = 8(60/W)

Thus,sides cost = 480/W

Total cost of sides and base is;

C = 40W² + 480/W

The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer:

Step-by-step explanation:

The base ten blocks to show the number 200 in the place value chart is shown below.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number 200 in the place value.

Now,

Since, the number 200 in the place value.

Hence, The figure for the base ten blocks to show the number 200 in the place value chart is shown in figure.

Thus, The base ten blocks to show the number 200 in the place value chart is shown below.

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The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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Answer:

i t is 1:3 i got it on my edgen test

Step-by-step explanation:

Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

The hummingbird will take 1 minute 13 seconds.

Let the time that will be taken by the hummingbird be represented by x

Note that 1 minute = 60 seconds

Based on the information given, the equation that'll be used in the question will be:

45/55 = 60/x

Cross multiply

(45 × x) = (60 × 55)

45x = 3300

x = 3300/45

x = 73.33 seconds

x = 1 minute 13 seconds

The hummingbird will take 1 minute 13 seconds.

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Answer:

24

Step-by-step explanation:

We can make the equation

225+50x=1425

=

50x=1200

=

x=24

The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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Answer:

A

Step-by-step explanation:

Hopefully this helps

Answer: x= 25

Step-by-step explanation:

28+47+ y(some number)= 180

solve for y to get 75 and since 75=3x x=25

Answer:

x=45

Step-by-step explanation:

a line = 180

47 + 28 = 75

180-75= 105

105+ 3x =180

now solve for x

3x + 105  =180  

3                 3

x + 105 = 60

x= 45

Answer:

\(x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}\)

Step-by-step explanation:

So when it says simplify the right side, all it's doing is distributing the square root across division.

So when we distribute the square root we get the fraction

\(\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}\)

And it's important to know that you cannot distribute the square root across addition/subtraction, but you can with multiplication.

There's a radical identity that states: \(\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}\) and this works both ways, so we can use this to combine like radicals or separate them into multiple. In this case we can separate the square root of 4a^2 into two radicals

\(\frac{\sqrt{b^2-4ac}}{\sqrt{4} * \sqrt{a^2}}\)

And from here it's pretty easy to see that the square root of 4 is 2, and the square root of a^2 is a, since the square exponent and square root just cancel out.

So we get the following expression on the right side

\(\frac{\sqrt{b^2-4ac}}{2a}\)

Answer:

hi I need actually a lot of help with Matt since I'm not the best?

Answer:

they are good I think I don't see why they wouldn't be

Answer:

6m -11n

Step-by-step explanation:

Answer:

A

Explanation:

To determine which sequence of transformation will map figure K onto figure K', we test each of the options using the point (6,5) in Figure K.

Option A

Reflection across x=4, 180° rotation about the origin, and a translation of (x+8,y)

Option B

Reflection across x=4, 180° rotation about the origin, and a translation of (x-8, y)

Option C

Reflection across y=4, 180° rotation about the origin, and a translation of (x+8,y)

Option D

Reflection across y=4, 180° rotation about the origin, and a translation of (x-8,y)

We can see that Option A is the one which maps point (6,5) to (6,-5).

Therefore, it is the sequence of transformations will map figure K onto figure K'.

The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.

As the vacationers approach the end of the pier, their gravitational potential energy will decrease.

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.

In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.

However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.

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The case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."

The case-fatality rate among residents with TB over the course of the year can be calculated by dividing the number of residents who died from TB by the total number of residents with TB at the start of the study. Let's calculate it based on the given information.

On January 1st, there were 30 residents with existing cases of TB. On July 1st, 10 of these residents died from their disease.

Case-Fatality Rate = (Number of TB deaths / Number of residents with TB) * 100%

Case-Fatality Rate = (10 / 30) * 100% ≈ 33.3%

Therefore, based on the given information, the case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."

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The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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