for j(x) = 5x − 3, find j of the quantity x plus h end quantity minus j of x all over h period

Answer:

\(\boxed {x = 7}\)

Step-by-step explanation:

\(FJ\) and \(JH\) is half of the whole measurement of \(FH\). So, to find the value of  \(x\), you need to write an expression by using those measurements of both \(FJ\) and \(JH\). Then, solve for \(x\):

\(FJ = 24\)

\(JH = 3x - 3\)

\(3x - 3 = 24\)

-Solve:

\(3x - 3 = 24\)

\(3x - 3 + 3 = 24 + 3\)

\(3x = 27\)

\(\frac{3x}{3} = \frac{27}{3}\)

\(\boxed {x = 7}\)

So, the value of \(x\) is \(7\).

Here, we need to perform a hypothesis test at the 0.025 level of significance to see if the mean installation time has changed.

The null and alternate hypotheses are as follows:

Null Hypothesis H0: µ = 6 (mean installation time is equal to 6 minutes)

Alternate Hypothesis H1: µ ≠ 6 (mean installation time is not equal to 6 minutes)

The level of significance (α) is given as 0.025. The sample size is 41. The sample mean is 5.4 minutes and the sample standard deviation is 1.3 minutes.

To perform the hypothesis test, we need to compute the test statistic and compare it with the critical value of the t-distribution at the given level of significance.

Step 1: Specify the level of significance. The level of significance is α = 0.025.

Step 2: Formulate the null and alternate hypothesis. The null and alternate hypothesis are given above.

Step 3: Determine the test statistic

Step 4: Determine the critical value - The critical value of the t-distribution can be found using a t-table or a calculator. Since this is a two-tailed test, the critical values will be tα/2, n-1 and -tα/2, n-1 where α/2 = 0.025/2 = 0.0125.The degrees of freedom are given by (n - 1) = (41 - 1) = 40.

Using the t-distribution table or a calculator, the critical values are:

t0.0125,40 = -2.704 and t0.9875,40 = 2.704

Step 5: Make the decision - Based on the computed test statistic and critical values, we can make the decision whether to reject or fail to reject the null hypothesis. Since this is a two-tailed test, we need to compare the absolute value of the test statistic with the absolute value of the critical value.t > t0.0125,40 or t < -t0.0125,40 => Reject the null hypothesis or fail to reject the null hypothesis

Substituting the values, we get:

|-2.2977| < 2.704. Hence, we fail to reject the null hypothesis.

Step 6: Draw a conclusion and interpret the decision - At a significance level of 0.025, there is not enough evidence to conclude that the new mean installation time is different from 6 minutes. Therefore, we fail to reject the null hypothesis. We can conclude that RodeTech's most popular computer program installation time has not changed significantly. Therefore, there is no need for RodeTech to change its advertising.

Thus, the main answer is D. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the new mean installation time is different from 6 minutes and that RodeTech may need to change its advertising.

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The amount of zinc oxide need to be added to 450 g of 1.5% ointment to make a 11% zinc oxide ointment is 48 gram.

A fraction represent the number of parts in total or whole. Fraction is sometimes denoted in percentage, e.g. 20% means a fraction of 20/100.

In the given problem, let w is the amount of zinc oxide need to be added.

Original weight of Zinc oxide = 1.5% x 450 g

After adding w gram of zinc oxide, weight of zinc oxide = 1.5% x 450 + w

Original weight of ointment = 450 g

After adding w gram of zinc oxide, weight of ointment = 450 + w

Hence, the new fraction of zinc oxide:

(1.5% x 450 + w) / (450 + w) = 11%

1.5% x 450 + w = 11% x 450 + 11% w

9.5% x 450 = 89% w

w = 48

Hence, the amount of zinc oxide need to be added is 48 gram.

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The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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Answer:sure!

Step-by-step explanation:

your answer is below

we have angles

7

8

9

and

10

so the complemantary is 90

Answer:

you can search on G*ogle. Thanks

Answer:

Belt = $34

wallt = $22

Step-by-step explanation:

The company sold 66 wallets and 83 belts for a total of $4,274 the previous month and sold 66 wallets and 86 belts for a total of $4,376 this month.

Let w represent wallets and b represent belts:

66w + 83b = $4,274

66w + 86b = $4,376

66w + 86b - 66w + 83b = $4,376 - $4,274

3b = $102

b = $34 this is the price for a belt.

To find the price of a wallet we need to replace b with 34 in the equation:

34×83 + 66w = $4,274

2,822 + 66w = $4,274

66w = $1,452

w = $22

Let x equal the number of tiny book boxes and y equal the number of large book boxes.

Because John must pack at least 35 boxes:

(number of tiny book boxes) + (number of large book boxes) = (at least) 35

x + y ≥ 35

Since John needs to pack at least 350 books:

(number of small books packed) + (number of large books packed) (is at least) 350

(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350

15x + 8y ≥ 350

Your system of inequalities is:

x + y ≥ 35

15x + 8y ≥ 350

Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

Answer: Number 2

Step-by-step explanation:

Substitute (-2, 1) into (x, y) into each equation and see if it works.

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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g(x)=|3x|+4

Step-by-step explanation:

pls mark me as brainliest

Answer:

the first term

a₁ = -30.4

Step-by-step explanation:

Let (an) be an arithmetic sequence with a common difference 8.

a₁ represents its first term.

And let S be the sum of the first 10 terms of the sequence.

Then

S = a₁ + a₂ + ………+ a₁₀

a₁₀ = a₁ + 8(10 - 1) = a₁ + 8×9 = a₁ + 72

S = a₁ + a₂ + ………+ a₁₀

  \(=\frac{10}{2} \times \left( a_{1}+a_{10}\right)\)

  \(=5} \times \left( a_{1}+(a_{1}+72)\right)\)

  \(=5} \times \left( 2a_{1}+72\right)\)

  \(=10a_{1}+360\)

We are given :  S = 56

then

56 = 10a₁ + 360

then

-10a₁ = 360 - 56

then

-10a₁ = 304

then

a₁ = -304/10

   = -30.4

Step-by-step explanation:

there is no reason in maths only the method

36 miles is the fewest number of miles she can walk in February

There are 28 days in February.

Every third day is 28/3 = 9.333 = 9 days of walking.

since she walks four miles,

9*4 = 36

Hence, 36 miles is the fewest number of miles she can walk in February

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Answer:

6(-3x^2+1)

Step-by-step explanation:

Combine like terms

-18x^2+6

Factor out common term

6(-3x^2+1)

Answer:

20

Step-by-step explanation:

36 DVDs is 180%.

36 divided by 180 is 0.2.

Multiply 0.2 by 100 to get how many DVD's she had last month...

0.2 x 100 = 20

Answer:

n = 1

Step-by-step explanation:

So the first step is to simplify the top equation:

(3v + 7) - (8v + 6)

distribute the negative sign to get rid of the second parentheses:

3v + 7 - 8v - 6

now, combine like terms

-5v + 1

Since it says it needs to be equivalent to (-5v + n), n is 1

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

12:00 i think

Step-by-step explanation:

hope this helps

The polynomial with a factor of x + 1 is f(x) = x³ + 3x² + 3x + 1

From the question, we have the following parameters that can be used in our computation:

Factor =  (x + 1)

The above factor is a linear factor

Since, we need at least two factors to make a polynomial, we can use the following equation

f(x) = (x + 1)³

When expanded, we have

f(x) = x³ + 3x² + 3x + 1

Hence, a polynomial with a factor of x + 1 is f(x) = x³ + 3x² + 3x + 1

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(a) Antecedent: Squares have three sides

Consequent: Triangles have four sides

(b) Antecedent: The moon is made of cheese

Consequent: 8 is an irrational number

(c) Antecedent: b divides 3

Consequent: b divides 9

(d) Antecedent: The differentiability of f

Consequent: f is continuous

(e) Antecedent: A sequence a is convergent

Consequent: a is bounded

(f) Antecedent: A function f is integrable

Consequent: f is bounded

(g) Antecedent: 1 + 2 = 3

Consequent: 1 + 1 = 2

(h) Antecedent: The moon is full

Consequent: The fish bite

(i) Antecedent: Time of 3 minutes, 48 seconds or less

Consequent: Qualification for the Olympic team

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Answer:

b= 5 inches

Step-by-step explanation:

use the formula and subsititute v=25 inches and h=3 inches and solve for b

v=(b^(2)h)/(3)

25=(b^(2)(3))/(3)

25=b^(2)

(squareroot25)=b

b=5 inches

The length of a side of the base of a square pyramid that has a height of 3 inches and a volume of 25 cubic Inches is 5 inches.

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

Volume of the square pyramid, V = (b² h) / 3

Here b is the length of one side of the square base and h is the height of the pyramid.

We have to find b, if volume is 25 cubic Inches and height is 3 inches.

V = 25 and h = 3

Substituting,

25 = (b² × 3) / 3

3 gets cancelled.

25 = b²

Taking square root on both sides,

b = √25

b = 5

Hence the base length is 5 inches.

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Answer:

that means that the new ones contains c-14*32/100

Hope This Helps!!!

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The solution is,  the applicable choices are:

2.  reflection in the x-axis,

4. horizontal shift of 4 units right.

c) See the attached with all transformations f(x) → h(x) → g(x).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Given function:

g(x) = - (x - 4)³

This is a transformation of the

a) parent cubic function f(x) = x³

b) It was first reflected in the x-axis:

f (x) → h(x)  ⇒ x³ → - x³

Then translated right by 4 units:

h(x) → g(x)  ⇒ - x³ → - (x - 4)³

So the applicable choices are:

2. reflection in the x-axis,

4. horizontal shift of 4 units right.

c) See the attached with all transformations f(x) → h(x) → g(x).

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The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.

In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.

The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.

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Answer:

16 eighteenths

Step-by-step explanation:

Answer:

16 eighteens fit into \(\frac{8}{9}\)

Step-by-step explanation:

in order to find out how much eighteenths are the in \(\frac{8}{9}\). we just have to divide \(\frac{8}{9}\) by \(\frac{1}{18}\). So we get...

\((\frac{8}{9}) /(\frac{1}{18}) = (\frac{8}{9})(18) = \frac{144}{9} = 16\)

The probability that the distance between them is more than the radius of the circle is given as follows:

0.5 = 50%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For the circle, we have that the radius is the distance between any point on the circumference of the circle, and the center.

The largest distance is the diameter, which is the distance between two points on the circumference of the circle, passing through the center.

The diameter is twice the radius, hence the probability is given as follows:

p = r/2r

p = 1/2

p = 0.5 = 50%.

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