How much should be investigated at the end of every six months at 12% compounded quarterly in order to accumulate 50,000 after 6 years?​

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

1/4 = 5/20

Step-by-step explanation:

1/4 = 5/20

Answer:

Step-by-step explanation:

1/4 is equivalent only to B (5/20).  To check this, try dividing 20 into 5 with a calculator; you should get 0.25 = 5/20

Answer:

the third option is the answer if you simplify

Answer:

Step-by-step explanation:

You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.

David's solution is correct up to Step 4.

At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...

  Step 4: (5 -3)x -4 = 2x -4

David's incorrect solution should have been 2x -4.

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Answer:

The answer is "Zeros are 0 and 4".

Step-by-step explanation:

Given equation:

\(\to x^5+3x^3+x^2+2x\)

applying the by direct verification:  

\(\to \phi_{0} (x^5+3x^3+x^2+2x) =0^5+3 \cdot 0^3+0^2+2 \cdot 0 \\\\\)

                                         \(= 0 \ mod \ 5 \\\\\)

\(\to \phi_{1} \ (x^5+3x^3+x^2+2x) =1^5+3 \cdot 1^3+1^2+2 \cdot 1 \\\\\)

                                          \(= 1+3+1+2 \ mod \ 5 \\\\ = 2 \ mod \ 5\)

\(\to \phi_{2} \ (x^5+3x^3+x^2+2x) =2^5+3 \cdot 2^3+2^2+2 \cdot 2 \\\\\)

                                          \(= 2+4+4+4 \ mod \ 5 \\\\ = 4 \ mod \ 5\)

\(\to \phi_{3}\ (x^5+3x^3+x^2+2x) =3^5+3 \cdot 3^3+3^2+2 \cdot 3 \\\\\)

                                          \(= 3+1+4+1 \ mod \ 5 \\\\ = 4 \ mod \ 5\)

\(\to \phi_{4} \ (x^5+3x^3+x^2+2x) =4^5+3 \cdot 4^3+4^2+2 \cdot 4 \\\\\)

                                          \(= 4+2+1+3 \ mod \ 5 \\\\ = 0 \ mod \ 5\)

hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)

Answer:

1)  a = (2h-84t) / t²

2) L = (P-2W) / 2

Step-by-step explanation:

Formula #1:

step 1: subtract 42t

1/2at² = h - 42t

step 2: multiply by 2

at² = 2h - 84t

step 3: divide by t²

a = (2h - 84t) / t²

Formula #2:

step 1: subtract 2W

P - 2W = 2L

step 2: divide by 2

L = (P-2W) / 2

The measure in radians for the central angle is approximately 0.7 radians.

To find the measure in radians for the central angle of a circle, we can use the formula:

θ = s / r

where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.

In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.

Plugging these values into the formula, we have:

θ = 5.6 cm / 8 cm

Simplifying the expression:

θ = 0.7

We may use the following formula to get the centre angle of a circle's measurement in radians:

= s / r

s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.

The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.

When these values are plugged into the formula, we get:

θ = 5.6 cm / 8 cm

Condensing the phrase:

θ = 0.7

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The full question: A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in 1 hour? Explain why or why not. (1 liter = 1,000)


The bottle will NOT be empty in an hour. However, it will leak 26.6 milliliters in a minute, so 1.596m in an hour.

Hope that helps!

Step-by-step explanation:

\(f(x) = g(x)h(x)\)

Taking the derivative of f(x), we get

\(f'(x) = g'(x)h(x) + g(x)h'(x)\)

Then \(f'(1)\) becomes

\(f'(1) = (-1)(-2) + (1)(3) = 5\)

The distribution as described in the task content and required to be identified is; a geometric distribution.

By definition and features; a geometric distribution is characterized as follows;

As evident in the given task content; the two possible outcomes are defective and non-defective and the each testing is independent.

Finally, since the probability is same for each trial as described by the approximately 1% defect rate.

Ultimately, the distribution is geometric.

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The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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Well I assume you have a TI-84 or something

a)  null is  μa = μb

alternate is  μa > μb

where μa = the true mean number of fish contrained in the stomach of blue crabs in location A

μb = the true mean number of fish contrained in the stomach of blue crabs in location B×

B) this is a 2 sample t-test

t= (xa-xb)/ \(\sqrt{s1^{2} /n1+ s2^{2} /n2}\) so you find the t value and look up on the T- table

or you use your calculator

t= 0.549 ⇒ p= 0.295

since out p value of 0.295 is greater than our alpha level of 0.01, we have no evidence to conclude that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B.

you also might want to check the assumptions.

Answer:

Step-by-step explanation:

True.

To calculate Jane's debt-to-income ratio, we need to divide her total liabilities by her total income. However, the prompt only gives us the sum of Jane's assets and liabilities, not her income.

Assuming that Jane's assets are not considered as part of her income, we can conclude that she falls within the recommended amount, since her total liabilities ($2,300) divided by her total income (which we don't know but is presumably greater than her liabilities) would be less than 15%.

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Here, AC and BD are diagonals,

where AC = 10 and BD = 6

therefore,

Area of a kite = 1/2*(product of the lengths of the diagonals)

area = 1/2 * 10*6

area = 30 sq units.

The area of kite ABCD 60 square unit.

The correct option is D.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

AC = 10 and BD = 6.

So, the area of kite ABCD

= AC x BD

= 10 x 6

= 60 square unit.

thus, the area is 60 square unit.

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Answer:  the number that can be placed in the box to make the statement true is 3.

Step-by-step explanation:

To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.

If we substitute 3 for the box in the statement, it becomes:

If +7=10, then 10-7=3.

Answer:

Step-by-step explanation:

Answer:

Its stupid by like todoroki =(

Step-by-step explanation:

Answer:

Bruh u already know Todoroki he reminds me of Zuko from Avatar.

Anyways have u seen The Seven Deadly Sins?

Answer:

sorry I don't know the answer

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

The measure of side BC is 2√3 units and AB is 2√13 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In triangle BCD,

tan60°=BC/DC

√3=BC/2

BC=2√3

By Pythagoras theorem,

BD²=BC²-DC²

BD²=(2√3)²-2²

BD²=12-4

BD²=8

BD=2√2

By Pythagoras theorem,

AC²=BC²+AB²

8²=(2√3)²+AB²

64=12+AB²

AB²=52

AB=√52

AB=2√13

Therefore, the measure of side BC is 2√3 units and AB is 2√13 units.

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Answer:

1. 9 2/7 = (63+2)/7 = 65/7

2. 2 4/5 = (10+4)/5 = 14/5

3. 65/7 * 14/5 = 910/35 = 26

The correct option regarding the sampling is C. The sample is not unusual if the claim is true. The sample is not unusual if the claim is false. Therefore, there is sufficient evidence to support the claim.

Sampling is a process that is used in statistical analysis in which a predetermined number of observations are taken from a larger population

In this case, since the claim is mean pulse rate of students in a large statistics classes is greater than 72. The sample mean pulse rate was found to be 98.9 then the sample is not unusual if the claim is true. The sample is unusual if claim is false. Therefore there is sufficient evidence to support the claim.

The correct option is C.

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