3+9(5)
8
2 is equal to

Answer: step by step down there =)

Step-by-step explanation: First times 2 by 3 then times 2 by 2 ok now you should have 6b and 4b now you subtract 6b and 2 and then add 4b and 12 after you add them you should have 4b and 16b so you answer would be 4b = 16b

Answer: 2n + 8 = n -3

Step-by-step explanation:

In this scenario we will represent that number by the variable n.

So two times the number will be 2n plus  8  is 2n +8  and it has to equal 3 less that  number so it will be n-3.

Answer:

Step-by-step explanation:

\(-\frac{24}{3}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\)

Answer: .-8

Step-by-step explanation:

-24 divided by 3 equals -8

-24/3= -8

Since -24 is negative the answer has to be negative as well because negative divided by positive is negative.

Hope this helps :)

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as \(x + 2y\geq 1200\).​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are \(\$600\) a term.

So, the fees for \(x\) day students are \(\$600x\) a term.

The fees for a boarding student are \(\$1200\) a term.

The fees for \(y\) boarding student are \(\$1200y\) a term.

Total fees for \(x\) day students and \(y\) boarding student is:

\(\text{Total fees}=600x+1200y\)

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

\(600x+1200y\geq 720000\)

\(600(x+2y)\geq 720000\)

Divide both sides by 600.

\(\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}\)

\(x+2y\geq 1200\)

Hence proved.

Answer:

Step-by-step explanation:

Basically, because till x = 6, f(6) was less than 0.

They are asking the value of f(x), not x.

Thanks

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer: 1/10, or 10% depending on how you need to format your answer.

Step-by-step explanation:

Probability by removal.

2/5 to get a red card, after that 1/4 to get a 10.

2/5 * 1/4 = 2/20 or 1/10

1/10=10%

Chance is 10%

Answer:

Convert the fraction to a decimal, then multiply by

100 .20%

Step-by-step explanation:

The multiplicative inverse property of the questions that we have here are:

This is the term that is used in Mathematics to show that we are to multiply a fraction by the inverse of that fraction.

A good example of this would be the form that is written as:

1/a would have the inverse property written as a/1

such that 1/a *a/1 = 1

In the same way,

we have

9/7 * 7 / 9 = 1

4/3 * 3/4 = 1

5 1/3 = 16 / 3 * 3/ 16 = 1

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Answer:

\(8a (3a^{2} b^{2} + 7ab - 2)\)

Step-by-step explanation:

Factor \(8a\) out of \(24a^{3} b^{2} + 56a^{2} b - 16a\)

This should be correct, very complicated problem. Hope this helps!

Answer:

81 km

Step-by-step explanation:

Speed = distance / time

speed and time are measured in different units, thus, time has to be converted to seconds

60 second = 1 minute

90 x 60 = 5400 seconds

15 m /s = distance / 5400 seconds

distance = 81,000 metre

1000m = 1 km

81000 / 1000 = 81km

The probability of having zero errors is approximately 0.711.

The probability distribution that can be used to calculate the probability that zero errors will be found in a 255-word bond transaction is the Poisson distribution.

The Poisson distribution is a discrete probability distribution that is used to model the number of events occurring within a fixed interval of time or space, given the average rate of occurrence of the events.

In this case, the average rate of occurrence of errors is 6 per hour, which can be converted to 0.1 errors per minute. Therefore, the expected number of errors in a 255-word bond transaction is (255/75)*0.1 = 0.34 errors.

Using the Poisson distribution, the probability of having zero errors in a 255-word bond transaction can be calculated as:

\(P(X = 0) = (e^{(-\lambda)} * \lambda^0) / 0! = e^{(-0.34)} * 0.34^0 / 1! \approx 0.711\)

where λ is the expected number of errors in the 255-word bond transaction.

Therefore, the probability distribution used to calculate the probability of having zero errors in a 255-word bond transaction is the Poisson distribution, and the probability of having zero errors is approximately 0.711.

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Simplify the numerator:-(h² + 7h + 3 + 3h) / h= -h² - 10h - 3 / h.The difference quotient for the given function is -h² - 10h - 3 / h.

Consider the function below:  f(x) = 3 - 5x - x² .Evaluate the difference quotient for the given function. f(1 + h) - f(1) / h

To begin, substitute the given values into the function: f(1 + h) = 3 - 5(1 + h) - (1 + h)²f(1 + h) = 3 - 5 - 5h - h² - 1 - 2hTherefore:f(1 + h) = -h² - 7h - 3f(1) = 3 - 5(1) - 1²f(1) = -3

Now, we can substitute the found values into the difference quotient: f(1 + h) - f(1) / h(-h² - 7h - 3) - (-3) / h(-h² - 7h - 3) + 3 / h

To combine the two fractions, we need to have a common denominator.

Therefore, multiply the first fraction by (h - h) and the second fraction by (-h - h):(-h² - 7h - 3) + 3(-h) / (h)(-h² - 7h - 3) - 3(h) / (h)h(-h² - 7h - 3) + 3(-h) / h(-h² - 7h - 3 - 3h) / h

Now simplify the numerator:-(h² + 7h + 3 + 3h) / h= -h² - 10h - 3 / h

The difference quotient for the given function is -h² - 10h - 3 / h.

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Answer:

25%

Step-by-step explanation:

He has already done 27/36

so he has 9/ 36 left

that is is equal to 1/4

1/4 as a percentage is 25%

Answer:

The null hypothesis would not be rejected at an alpha level of 0.25.

Explanation:

When performing a hypothesis test, the alpha level (also known as the significance level) is the threshold for determining whether the null hypothesis should be rejected. If the p-value (the probability of observing the data given that the null hypothesis is true) is greater than the alpha level, then the null hypothesis is not rejected.

In your question, you stated that the null hypothesis was not rejected at an alpha level of 0.05, which means that the p-value was greater than 0.05. If you increase the alpha level to 0.25, this means that you are setting a higher threshold for rejecting the null hypothesis. Therefore, if the null hypothesis was not rejected at an alpha level of 0.05, it will also not be rejected at an alpha level of 0.25.

The given differential equation y x²y² = x² is a nonlinear and not separable differential equation, which corresponds to option (D).

A linear differential equation can be written in the form dy/dx + P(x)y = Q(x), where P(x) and Q(x) are functions of x. In this equation, the term x²y² makes it nonlinear.

A separable differential equation can be written in the form g(y)dy = f(x)dx, where g(y) and f(x) are functions of y and x, respectively. However, in the given equation, we cannot separate the variables y and x to obtain such a form.

To solve this particular differential equation, one approach is to rewrite it in a more manageable form. Let's rearrange the terms:

x² = y/(x²y²)

Now, we can multiply both sides by (x²y²) to eliminate the denominator:

x²(x²y²) = y

This equation is still nonlinear but can be used to find a particular solution for y given a specific initial condition.

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Answer: 2(n +5) = 20

Step-by-step explanation:

Answer:

2(n+5)=20

Step-by-step explanation:

n+5 is the sum. Two times of the sum is 2*(n+5) which is 2(n+5). This is set to equal 20.

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

7.5

Step by step explanation:

As the diameter is 15, you have to divide it by 2, which is 7.5.

Answer: 2  (choice C)

Reason:

The coefficient is the number to the left of the variable.

For 2x that would be 2

As another example, the coefficient of \(5x^2\) is 5.

Answer:

We know that:

Factorize the expression for the area and find the missing side

Given:

Find l:

l = A/w

l = (x² + 10x + 21)/(x + 3) =

    (x + 3)(x + 7)/(x + 3 =

    x + 7

------------------------------

Given:

Find w:

w = A/l

w = (x² + 2x - 8)/(x + 4) =

      (x + 4)(x - 2)/(x + 4) =

      x - 2

The interquartile range is 2

The interquartile range (IQR) measures the spread of the middle half of your data. It is the range for the middle 50% of your sample. Use the IQR to assess the variability where most of your values lie. Larger values indicate that the central portion of your data spread out further. Conversely, smaller values show that the middle values cluster more tightly.

Given here the data set 5 6 8 8 9 9 10 10 10 12

First Quartile Q1 = 8

Second Quartile Q2=9

Third Quartile Q3 = 10

Interquartile Range IQR =2

Median = Q2 (x˜) =9

Minimum Min =5

Maximum Max =12

Range R =7

Hence, The interquartile range is 2

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Answer:

0.487 kg

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation

Step-by-step explanation:

Given the Regression equation:

Weight = - 5.58 + 0.1686 length

Length of newborn = 48 cm

Actual Weight of newborn = 3kg

Predicted weight from regression model:

Weight = - 5.58 + 0.1686(48)

Predicted Weight = 2.513kg

Hence, residual = (Actual - predicted)

Residual = (3kg - 2.513kg) = 0.487kg

Since the actual weight is more or greater than the predicted weight:

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation

Answer:

6:1

Step-by-step explanation:

The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .

The length of the side x is derived to be √2/2 using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

The right triangle is also an Isosceles having same base angles so;

x² + x² = 1²

2x² = 1

x² = 1/2

x = √(1/2) {take square root of both sides}

x = 1/√2

x = √2/2 {rationalize}

Therefore, the length of the side x is derived to be √2/2 using the Pythagoras rule.

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