please help
what is the solution to the equation below?
34x + 95 = 3 (14x + 9)​

Answer:

idioet.

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

No, the events A and B are not independent because the two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.

In the given question, eight friends are drawing straws. The one who picks the short straw must cook dinner for the others.

We have to determine whether the events A and B are independent.

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.

The two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.

Hence, the events A and B are not independent.

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D. Non-directional; two . Ella has a Non-directional hypothesis that will result in a(n) two -tailed test

Ella has a non-directional hypothesis because she does not specify the direction of the relationship between studying and exam completion time. In other words, she does not specify whether studying more leads to a shorter exam completion time or vice versa. She simply states that there is a relationship between the two variables.

A non-directional hypothesis results in a two-tailed test, which means that the critical region is split equally between both tails of the distribution. In a two-tailed test, we reject the null hypothesis if the test statistic falls in either tail of the distribution. For example, if we are using a two-tailed test with a significance level of 5%, we would reject the null hypothesis if the test statistic falls in the top or bottom 2.5% of the distribution.

On the other hand, a directional hypothesis specifies the direction of the relationship between the variables. For example, Ella could have a directional hypothesis that states that studying more leads to a shorter exam completion time. This would result in an upper-tailed test, in which the critical region is located in the upper tail of the distribution. In an upper-tailed test, we reject the null hypothesis if the test statistic falls in the top portion of the distribution. For example, if we are using an upper-tailed test with a significance level of 5%, we would reject the null hypothesis if the test statistic falls in the top 5% of the distribution

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Answer:

It's \(\frac{1}{288}\)

Step-by-step explanation:

Replace x and y in the equation, it will look like this:

\(2(\frac{-1}{3})^2(\frac{1}{4})^3\\\)

\(2(\frac{1}{9})(\frac{1}{64})\)

\(2(\frac{1}{576})\)

\(\frac{2}{576}=\frac{1}{288}\)

Answer:

X-intercept = -3 and y-intercept = 6

Step-by-step explanation:

We can start off by isolating the y term. To do that, we must add 2y to both sides to get

\(4x=2y-12\)

Now, we must add 12 to both sides and the y term will be all alone on the right side:

\(4x+12=2y\)

Now, to have only y on the right side, we must divide by 2 to get:

\(y=2x+6\)

In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.

To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:

\(0=2x+6\)

We can start off by subtracting 6 from both sides to get:

\(2x=-6\)

We can then divide both sides to get \(x=-3\) when y is equal to 0. Thus, we have our x-intercept.

Answer:

y-intercept= -6

x-intercept= 3

Step-by-step explanation:

First, rearrange the equation to be in y=mx+b.

4x-2y=12

4x-12=2y

(1/2)(4x-12)=y

y=2x-6

From here, we know that the 'b' in an equation in form y=mx+b is the y-intercept, which is -6.

To find the x intercept make y=0 and solve.

You can also solve without rearranging the equation and simply making x=0 and solving to find the y-intercept. and making y=0 and solving to find the x-intercept.

Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

https://brainly.in/question/28196155#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=1%20The%20corresponding%20angles%20are,alternate%20exterior%20angles%20are%20equal. See #5.

Answer:

122.30 cm²

Step-by-step explanation:

The figure is a triangular prism.

Formula for calculating surface area of a triangular prism = bh + L(S1 + S2 + S3)

Where,

b = 11 cm

h = 4.3 cm

S1 = 8 cm

S2 = 6 cm

S3 = 11 cm

L = 3 cm

Surface area = 11*4.3 + 3(8 + 6 + 11)

= 47.3 + 3(25)

= 122.3 cm²

In an isosceles trapezoid, the base angles have the same measure pairwise.

The sum of the interior angles of a quadrilateral is 360º

For the given trapezoid:

Given angle B has a measure of 110º

Use the equation above to find the measure of angle A:

Then, the measures of missing angles are:

90% confidence interval is 82.11 < μ < 93.89

"Information available from the question"

The complete question is this:

The managers of a company are worried about the morale of their employees. In order to determine whether a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction, which has a known standard deviation of 24 points.

Due to financial limitations, the managers decide to take a sample of 45 employees. This yields a mean score of 88 points. What is the 90% confidence interval?

Now, According to the question:

We have :

The confidence level = 0.90

The significance level, \(\alpha\) = 0.10

The sample mean, x = 88

The population standard deviation, σ = 24

The sample size, n = 45

Critical value of z using the z - distribution table:

z(critical) = \(z_\alpha\) /2

               =  \(z_0_._0_5\)

               = ±1.645

90% confidence interval:

μ = x ± z. σ/\(\sqrt{n}\)

μ = 88 ± 1.645 x 24 / \(\sqrt{45}\)

μ = 88 ± 5.89

82.11 < μ < 93.89

Hence, 90% confidence interval is 82.11 < μ < 93.89

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Answer: 6*16 equals 96, 96 - 37 = 59, 59 is the answer 

Part 1

The equation is \(y=a(x+8)(x-72)\).

Using the point \((62, -490)\) to solve for \(a\),

\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)

Part 2

When \(x=-8\), \(y=0\).

When \(x=2\), \(y=-490\).

So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)

Answer: 375 bolts

Step-by-step explanation:

Just do 225*(40/24)

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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The derivatives for this problem are given as follows:

a) \(f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}\)

b) \(f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}\).

The derivative of the sum is the sum of the derivatives.

In this problem, the function is:

\(f(x) = 4\cos{x} + \ln{(x + 1)}\)

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

\(f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}\)

\(f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}\)

What is the product rule?

The derivative of the product is given as follows:

\((f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)\)

In this problem, we have that:

Hence the derivative is:

\(f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}\).

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Rob will earn in one year $2603.16.

Given that,
After his first month, he had more than expected to have due to the interest the bank provided.
This let Rob come up with a better expression w²/25+45W +155 where W is the number of weeks how much will you have in one year is to be determined.

The equation is the relationship between variables and represented as y =ax +b is an example of a polynomial equation.

Here,
Given expression,
w² / 25 + 45w + 155
In i year w = 52
= 52²/25 + 45 * 52 + 155
= 2603.16

Thus, Rob will earn in one year $2603.16.

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Answer:

\(28.8\:\: \mathrm{or}\:\: 28\frac{4}{5}\)

Step-by-step explanation:

48% of 60

\(\frac{48}{100} \times \frac{60}{1}\)

Cross divide; cancel the zeros in 100 and 60

\(\frac{48}{10} \times \frac{6}{1}\)

Divide 10 and 6 by 2

10 ÷ 2 = 5

6 ÷ 2 = 3

\(\frac{48}{5} \times \frac{3}{1}\)

Simplify

48 × 3 = 144

5 × 1 = 5

\(\frac{144}{5}\)

Simplify

\(\frac{144}{5} = 28.8\:\: \mathrm{or}\:\: 28\frac{4}{5}\)

The measure of angle x on the straight line is 130 degrees.

The sum of interior angles in a triangle equals 180 degrees.

To determine the value of x, we first determine its suplemetary angle x .

Hence:

40 + 90 + ( suplemetary angle of x ) = 180

Solve for the suplementary angle:

130 + ( suplemetary angle of x ) = 180

Suplementary angle of x = 180 - 130

Suplemetary angle of x = 50 degree

Now, we can find the measure of  angle x.

Note that, sum of angles on a straight line equals 180 degree.

Hence:

x + ( suplemetary angle of x )  = 180

x + 50 = 180

Solve for x

x = 180 - 50

x = 130 degrees.

Therefore, the value of x is 130 degrees.

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Answer:

A would be your answer if I'm not mistaken

Answer:

The following frequency distribution depicts the scores on a math test. Find the class

midpoint of scores for the interval 95-99.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Since the y value is the same, we only need to find the distance between the x points

1-0 = 1

The distance between the point is 1

Answer : 1 unit.

Explanation: Since ( 0,0 ) is at 0 on the x axis, ( 1,0 ) is one unit to the right of 0, 1.

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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We can say that after 36 minutes tat is at 8:36 a.m. the bus and train will leave together again using the LCM.

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, generally denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b.

Since the result of dividing an integer by zero is undefinable, this definition only applies if both a and b are not equal to zero.

However, given that 0 is the only common multiple of a and 0, some authors define lcm(a,0) as 0 for all a.

So, to calculate after what minutes the next bus and train will leave together:

We know that:

Bus leaves every 12 minutes.

The train leaves every 18 minutes.

At 8 a.m., both leave at the same time.

Now, calculate the LCM of 12 and 18 as follows:

LCM or 12 and 18 = 36

(Refer to the chart attached below)

Therefore, we can say that after 36 minutes tat is at 8:36 a.m. the bus and train will leave together again using the LCM.

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer: 368/15

Step-by-step explanation:

Answer:

it is 1.2 which is in a fraction is 1 1/5

Step-by-step explanation: