Divide £16 in the ratio 3 : 1

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer:

The answer is C

Step-by-step explanation:

I got a 100% on edge

Answer:

The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."

Step-by-step explanation:

got it right on edge

Answer:

y = -x/2 + 2

Step-by-step explanation:

Answer:

x = 4 - 2y

Step-by-step explanation:

Factor the common factor of 4

4(x+2y)=16

Divide both sides by 4

x+2y=16/4

Simplify 16/4 to 4

x+2y=4

Subtract 2y from both sides

x=4-2y

There you go! Please mark brainliest

The program for finding the two numbers in the array sum up to x is made.

Array A[n], x

Time Complexity:

As was covered in class, step one employs mergesort, which has an O(nlogn) complexity.

Since the worst-case scenario involves traversing through the full array, step three consumes O(n) time.

Total Running Time = O(nlogn + n) = O(nlogn)

Thus, the program for finding the two intergers in the array sum up to x is made.

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The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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the value of the test statistic for testing whether there is a linear relationship between the and the estimated number is 0.3506905

Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127

The test statistic :

T = r² / √(1 - r²) / (n - 2)

Sample size, n = 10

Hence,

T = 0.127² / √(1 - 0.127²) / (10 - 2)

T = (0.016129 / 0.3506905)

T = 0.3506905

The value of the test statistic to 2 decimal places is 0.35

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Answer:

Step-by-step explanation:

Let's say there are "x" students in class 6.

Since Anton got 0.2 of the votes, he got 0.2 * x votes.

Eva got 10% of the votes, which is equal to 0.1 * x votes.

Petra got 0.3 of the votes, which is equal to 0.3 * x votes.

Kofi got 9 votes.

So, the total number of votes in class 6 is x.

By adding up the number of votes each candidate received, we can write an equation:

0.2x + 0.1x + 0.3x + 9 = x

Simplifying the equation:

0.6x + 9 = x

Subtracting 0.6x from both sides:

9 = 0.4x

Dividing both sides by 0.4:

x = 22.5

Since the number of students must be a whole number, we round up to the nearest whole number:

x = 23

So there are 23 students in Class 6.

5. At least 676 employment records, 6.  the proportion of females in the sample is 0.4362, 7. confidence interval is (0.401, 0.471), 8. 90% of those intervals would contain the true population proportion, 9.  cannot conclude .

In statistics, population proportion refers to the proportion or percentage of individuals in a population that have a particular characteristic or attribute of interest.

5. To estimate a percentage of females in the United States labor force to within +/- 5%, with 90% confidence, we need to use the formula:

n = (z² × p × q) / E²

where:

n is the sample size we need to estimate the population proportion

z is the z-score associated with the desired level of confidence (in this case, 90%, so z = 1.645)

p is the estimated proportion of females in the population (we don't know this yet, so we use 0.5 as a conservative estimate)

q is the complement of p (q = 1 - p)

E is the maximum error we are willing to tolerate (in this case, 5%, so E = 0.05)

Plugging in the values, we get:

n = (1.645² × 0.5 × 0.5) / 0.05² = 676

So, the representatives from the Department of Labor should sample at least 676 employment records.

6. The sample size they actually selected is 525, and the proportion of females in the sample is 229/525 = 0.4362.

7. The confidence interval for the population proportion of females in the labor force is:

0.4362 ± 1.645 × √[(0.4362 × 0.5638) / 525] = (0.401, 0.471)

This means that we are 90% confident that the true proportion of females in the United States labor force is between 40.1% and 47.1%.

8. 90% confidence means that if we repeated the sampling process many times and calculated a confidence interval for each sample, about 90% of those intervals would contain the true population proportion.

9. We cannot conclude that the percentage of females in the US labor force is lower than Europe's rate of 46% based on this sample. The confidence interval includes the value of 46%, so it is possible that the true proportion is not significantly different from Europe's rate. However, we cannot say for certain without conducting hypothesis testing.

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Answer:

Derek would have to buy 3 packs of 8 hotdogs and 2  packs of 12 hotdog buns.

Step-by-step explanation:

This is because 8 times 3 is 24 and 12 times 2 is 24.

8 and 12 both have a common multiple, which is 24.

So if he buys 3 packs of hotdogs, which come in packs of 8, he'll get 24.

And if he buys 2 packs of buns, which come in packs of 12, he'll get 24.

#teamtrees #WAP (Water And Plant)

Answer:

3 packs of hotdogs and 2 packs of buns

Step-by-step explanation:

Let \(h =\) number of hotdogs, and \(b =\) number of buns

8\(h\) = 12\(b\)

LCM of 8 and 12 is 24

8\(h\) = 24

\(h\) = 3

12\(b\) = 24

\(b\) = 2

\(\therefore\) Derek needs to buy 3 packs of hotdogs and 2 packs of buns to have the same number of each.

Hope this helps :)

The amount that you will have in 3 years, given the interest rate and the amount won, is 1, 195, 618. 17 currency units

To find the amount earned in three years as a result of your lottery being invested, use the future value formula which is:

= Amount won x ( 1 + periodic  rate ) ^ number of periods

Periodic rate :

= 6 % / 4 quarters per year

= 1. 5 %

The number of periods is:

= 3 years x 4 quarters per year

= 12 quarters

The amount you will have in 3 years is:
= 1,000,000 x ( 1 + 1. 5 %) ¹²

= 1, 195, 618. 17 currency units

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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A. x2+y2=16 I just did this question.

Answer:

189

Step-by-step explanation:

(13.5 / 100) 1400 = 189

yw ;)

A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that meet at a common point. The height of a pyramid is the perpendicular distance from the base to the apex.

A cube is a three-dimensional shape that has six square faces of equal size. All angles of a cube are right angles, and all edges have the same length. The volume of a cube is given by the formula V = s³ where s is the length of one edge.

A rectangular prism is a three-dimensional shape that has six rectangular faces. The opposite faces are congruent and parallel, and all angles are right angles. The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the lengths of the three perpendicular edges.

A sphere is a three-dimensional shape that is perfectly round and has no edges or corners. It is defined as the set of all points in three-dimensional space that are equidistant from a given point called the center. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

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Answer:

0

Step-by-step explanation:

\(-7+(\frac{63}{9})=-7+7=0\)

A. a^1/12

When dividing two exponents with the same base, subtract the denominator exponent from the numerator's exponent.

the difference is the value of the new exponent with the same base.

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer:

576

Step-by-step explanation:

Answer:

0.99 ≈ 1

Step-by-step explanation:

Given expression,

\( \sf \rightarrow{3}^{ - 1} \times (4 \times 6) \times {2}^{ - 3} \)

Solving the given expression,

\( \sf \rightarrow{3}^{ - 1} \times (4 \times 6) \times {2}^{ - 3} \)

\(\sf \rightarrow0.33 \times (24) \times 0.125\)

\(\sf \rightarrow7.92 \times 0.125\)

\(\sf \rightarrow0.99 ≈ 1\)

Hence, answer is 0.99 ≈ 1.

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Step-by-step explanation:

we can not help you . you don't have the problem.

Answer:

no problem can be seen by the image

Step-by-step explanation:

The graph of the linear inequality is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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Answer:

\(9(7x - 2) = 5(10x - 1) \\ \\ 63x - 18 = 50x - 5 \\ \\ 63x - 50x = - 5 + 18 \\ \\ 13x = - 5 + 18 \\ \\ 13x = 13 \\ \\ x = \frac{13}{13} \\ \\ x = 1\)

Answer:

\(9(7x - 2) = 5(10x - 1) \\ 9 \times 7x - 9 \times 2 = 5 \times 10x - 5 \\ 63x - 18 = 50x - 5 \\ 63x - 50x = - 5 + 18 \\ 13x = 13 \\ x = 1 \\ thank \: you\)

Answer:

Step-by-step explanation:

Use long multiplication to evaluate.

576

Answer:

\(-\frac{28}{3}\)

Step-by-step explanation:

\(\frac{-3-(-1/5)}{(1/10)-(-1/5)}=-\frac{28}{3}\)

Answer:

There is a picture attached in which the drawing of the triangle is present.

Options are

1. less than 92 meters

2. Exactly 92 meters

3. Between 92 and 1208 meters

4. greater than 1208 meters.

Step-by-step explanation:

Correct answer is

3. Between 92 and 1208 meters

Reason is 92 cannot be the answer because hypotenuse of a triangle can not be smaller than base and perpendicular as per Pythagoras theorem.

Also it cannot be greater than 1208 as can be proven by Pythagoras theorem.

Therefore the correct answer has to be between 92 and 1208 meters.

The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)

4/11= -33/x+5,

to get the value of x we need to get the x to the left hand side,

4(x+5)= -33,

4x+20 = -33.

subtracting 20 from both the sides,

4x= -33-20

4x = -53.

dividing both the sides by 4,

x= -53/4

x= \(-13\frac{1}{4}\) ,

which is option A in the given question

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