In how many different orders can you place 5 toy cars?.. help plssssss​

Answer:

HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2

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HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2.

Answer: x = 40

Step-by-step explanation:

3x ÷ 8 = 15

Multiply 8 in both sides

3x = 120

Divide both sides by 3

x = 40

Answer:

x = 33

Step-by-step explanation:

Sum of the angles in a triangle is 180 so,

35 + 3x + 2x - 20 = 180

35 + 5x - 20 = 180

15 + 5x = 180

5x = 180 - 15

x = 165/5

x = 33

The required results are following:

Step O : 1) Yes ,

2) Yes ; 3) No

step 1 : The null and alternative hypothesis are

H₀ : p = 0.105

Hₐ : p < 0.105

Step 2 : test statistic value is -0.865.

Step 3 : p- value is 0.1935 > 0.01 (α)

So, Fail to Reject null hypothesis and No, evidence to support that probability of births to mothers under 20 years of age is decreasing.

We have given that A sociologist claim that Births to mothers under 20 years of age is decreasing in United States.

Given data in statistics terms are

Sample size (n) = 134

Number of success = 11

level of significance , α = 0.01

hypothetical population proportion, p₀= 0.105

Step 0 :

1. Yes, this is a simple random sample because it fulfill all requirements.

2. Yes

np₀(1 - p₀) > 10

=> 134 x 0.105(1 – 0.105) > 10

=> 12.59265 > 10

3. No, as N is not given.

Step 1 :

The null and alternative hypothesis are

H₀: p = 0.105

Hₐ : p < 0.105

This is left-tailed hypothesis test.

Step 2:

The value of sample proportion (p-hat) = 11/134

The value of test statistic is

Z= (p-hat - p₀ )/√p₀(l-p₀)/n

Z = (11 /134 - 0.105)/√0.105(1-0.105) 134

Z= - 0.86512688616

Z = -0.865

Step 3 :

α =0.01 , Zα=-2.326

No, The test statistic does not lie in the rejection region

The P-value is

P-value= P(Z < z )

P-value= P(Z < -0.865 )

P-value= P(Z< -0.865)

P-value= 0.193519

P-value= 0.1935 > 0.01

Fails to Reject null hypothesis because P-value (0.1935) is greater than level of significance (0.01).

No, there is not sufficient evidence to conclude that the percentage of live births to mother under age 20 years of age in the United States has decreased below the 2006 level of 10.5%.

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Complete question:

In 2006, 10.5% of all live births in the United States were to mothers under 20 years of age. A sociologist claims that births to mothers under 20 years of age is decreasing. She conducts a simple random sample of 134 births and finds that 11 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.01 level of significance. Answer:

Step O: Verify Assumptions 1. Is this a simple random sample? (yes, no) 2. Is np. (1 - p.) > 10 ? (yes, no) 3. Is n < 0.05N? (yes, no)

Step 1: Parameter of interest: II.:P versus :p

Step 2: Test statistic: Sample Proportion= (Write your answer as a fraction without simplifying) Z. - (Use the value of the sample proportion as a fraction without simplifying in the formula of the test statistic and round your test statistic for three decimal places)

Step 3: Classical approach Z = (Rounded to three decimal places) Does the test statistic lie in the rejection region? (yes, no)

Step 4: p-value approach p-value= (Rounded to four decimal places) What is the relationship between p-value and a? p-value a. (>,<)

Step 5: Conclusion: Is there sufficient evidence to conclude that the percentage of live births to mothers under age 20 years of age in the United States has decreased below the 2006 level of 10.5%? (yes, no)

Answer:

1

Step-by-step explanation:

1+3 = 4  4*7 = 28

it's 1 because 28/7 = 4 and you add 3 to the number so 1 + 3 = 4 * 7 = 28 is correct.

The image of the straight lines is missing so i have attached it.

Answer:

x = 20°

y = 120°

Step-by-step explanation:

From the image attached, we can say that;

3x + (7x - 20) = 180

This is because sum of angles on a straight line is 180°

Thus;

3x + 7x - 20 = 180

10x = 180 + 20

10x = 200

x = 200/10

x = 20°

Also,3x + y = 180

Because sum of angles on a straight line is 180°. Thus;

3(20) + y = 180

60 + y = 180

y = 180 - 60

y = 120°

The argument states that since all paintings by Matisse are beautiful and the museum has a painting by Matisse, the museum must have a beautiful painting.

The argument presented is an example of a logical fallacy known as affirming the consequent. It follows the form of a logical fallacy known as the fallacy of the converse. The fallacy of the converse occurs when one assumes that if the consequent (in this case, having a painting by Matisse) is true, then the antecedent (in this case, the painting being beautiful) must also be true. However, this is not a valid logical inference.

While it is true that the argument assumes that all paintings by Matisse are beautiful, it does not necessarily follow that the museum's painting by Matisse is also beautiful. There may be exceptions to the generalization that all Matisse paintings are beautiful. Additionally, beauty is subjective, and what one person finds beautiful, another may not.

Therefore, based on the argument presented, we cannot conclude with certainty that the museum has a beautiful painting solely because it possesses a painting by Matisse. The argument relies on a logical fallacy and does not provide sufficient evidence to support the claim that the museum's painting is beautiful.

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Answer:

901,287

982,282

287,099

Step-by-step explanation:

287,982,287,901,287,099

To find h(3) we need to substitute x = 3 into h(x) as follows:

You can take the reciprocal of the opportunity cost of producing Product A in terms of Product B to determine the cost of producing Product B in terms of Product A,

To determine the cost of producing Product B in terms of Product A, you can take the reciprocal of the opportunity cost of producing Product A in terms of Product B.

If the opportunity cost of producing 1 unit of Product A is 2 units of Product B, then the cost of producing 1 unit of Product B would be 1/2 unit of Product A.

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To solve the problem of a vibrating string with damping using numerical methods and time steps, follow these steps:

1. Discretize the string into a set of points along its length.

2. Use a finite difference method, such as the central difference method, to approximate the derivatives in the equation.

3. Apply the difference equation to each point on the string, considering the damping force and given parameters.

4. Set up the initial conditions for the string's displacement and velocity at each point.

5. Iterate over time steps to update the displacements and velocities at each point using the finite difference equation.

6. Compute and store the values of the solution at selected points for analysis.

7. Compare the numerical solution with the analytical solution, if available, to assess accuracy.

8. Plot the results to visualize the behavior of the vibrating string over time.

9. If using MATLAB, write a script to implement the numerical method and generate plots.

Note: The specific equation and initial conditions are missing from the given question, so adapt the steps accordingly.

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Answer:

x = -9, 10

Step-by-step explanation:

\(x^2 - x = 90\\\)

Solve this as a quadratic equation, so subtract 90 from both sides:

\(x^2-x-90=0\)

Factoring:

\((x+9)(x-10) = 0\)

This means that:

\(x + 9 = 0\\\\x=-9\\or\\x - 10 = 0\\x = 10\)

x can be -9 or 10.

Answer:

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

The probability that all four coins come up heads is 1/16 or approximately 0.0625.

The probability of flipping a head on a single coin is 1/2. Since each coin is flipped independently, the probability of all four coins coming up heads can be calculated by multiplying the probability of getting heads on each coin.

That is,

P(all heads) = P(heads on penny) × P(heads on nickel) × P(heads on dime) × P(heads on quarter)

Each of these probabilities is 1/2 since each coin has two possible outcomes – heads or tails – and they are equally likely to occur.

Thus,

P(all heads) = (1/2) × (1/2) × (1/2) × (1/2) = 1/16

This means that if we were to flip these four coins many times, on average we would expect to see all four coins come up heads about once in every 16 flips. It is important to note that the probability of all four coins coming up heads is independent of any previous flips – the coins do not "remember" whether they landed heads or tails on previous flips.

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When you have two parallel lines (lines m and n) crossed by a transversal (porch stain) the angles 7 and 8 sum 180º and angles 1 and 8 are alternate exterior angles (have the same measure)

Then to find the measure of angle 1:

1. Find the measure of angle 8:

2. Alternate exterior angles have the same measure:

Answer:

90/49

Step-by-step explanation:

you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer

The p-value for this hypothesis test for a proportion p is 0.039.

What is a random sample?

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left-tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where,

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail is 0.039

Thus,

p = 0.039

Hence, the p-value for this hypothesis test for a proportion p is 0.039.

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Answer:

width = 4

Step-by-step explanation:

length = 2x5 = 10

18-10 = 8

width = 8/2

width = 4

To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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Answer:25

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-4

Step-by-step explanation:

give the person there branliest:)

The population in order to calculate the mean height will be all the students attending the college.

The population is the entire group of individuals being studied. In this case, the population is all the students who goes to the college.

Every member of a group constitutes a population. It is the inverse of a sample, which is a percentage or proportion of a group. It is sometimes possible to poll every member of a group. The U.S. Census is a quintessential example of a population, as it is required by law that every member of the U.S. population reply. In most circumstances, surveying everyone is unfeasible in statistics.

Consider how long it would take you to phone every dog owner in the United States to find out what brand of dog food they preferred. Furthermore, people may choose not to respond or may forget to respond, resulting in incomplete censuses. By definition, incomplete censuses become samples.

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35 degrees Celsius is equal to 95 degrees Fahrenheit.

What is the formula for Celsius to Fahrenheit?

Without a calculator, how do you convert from Celsius to Fahrenheit?

F = 9 / 5 * 35 + 32

F = 63 + 32

F = 95

35 degrees Celsius is equal to 95 degrees Fahrenheit.

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The measure of angle m<2 for the given linear pair is found as 109°.

For the given question;

<1 and <2 form a linear pair.

m<1 = (18r - 1)° and m<2 = (23r + 17)°

Thus, from the property of the linear pair;

m<1  +m<2 = 180

Put the values;

(18r - 1)° + (23r + 17)° = 180

Simplify the expression.

18r - 1 + 23r + 17 = 180

41r = 180 - 16

r = 4

m<2 = (23r + 17)°

m<2 = (23×4 + 17)°

m<2 = 109°

Thus, the measure of angle m<2 for the given linear pair is found as 109°.

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The Frisbee following a parabolic path will take  8.5 seconds to hit the ground.

Given that:

h(t) = â€" 0.07t2 - 0.007t - 5

The given equation is the parabolic equation showing the path traced by the frisbee. from the equation

h = height from ground

t = time consumed in seconds

time it takes to hit the ground will be at h = 0.  we therefore solve as follows:

h(t) = â€" 0.07t2 - 0.007t - 5

0 = 0.07t2 + 0.007t + 5

\(=\frac{-0.007+or-\sqrt{0.007^{2}-4*0.07*-5 } }{2*0.07}\)

\(=\frac{-0.007+or-\sqrt{0.0049+1.4 } }{0.14}\)

\(=\frac{-0.007+or-\sqrt{1.3951 } }{0.14}\)

=8.5 or -8.5 seconds

≅ 8.5 seconds

We choose the positive which is 8.5 seconds and can therefore say that the first option is the correct option.

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The least number of trips that Ava must make in order to deliver 250 cartons of books is 10 trips.

The least number of trips that Ava must make in order to deliver 250 cartons of books can be found by dividing the total number of cartons by the number of cartons that her car can hold per trip.

This can be written as:
Least number of trips = Total number of cartons / Number of cartons per trip

Substituting the given values into the equation, we get:
Least number of trips = 250 cartons / 26 cartons
Least number of trips = 9.62

Since Ava cannot make a fraction of a trip, we need to round up to the nearest whole number. Therefore, the least number of trips that Ava must make in order to deliver 250 cartons of books is 10.

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