which is more valuable: a pile of pennies equaling your weight or a stack of quarters equaling your height. I weight 116 and i’m 5’6 Please help,

Answer:

A) Fail to Reject the Null Hypothesis

Step-by-step explanation:

Given that:

A local Internet provider wants to test the claim that the average time a family spends online on a Saturday is at least 7 hours.

sample size = 30

sample mean \(\bar x\) = 6

standard deviation \(\sigma\) = 1.5

level of significance ∝ = 0.05

The null hypothesis and the alternative hypothesis can be computed as:

\(\mathbf{ H_o: \mu \leq 7}\)

\(\mathbf{ H_i: \mu \geq 7}\)

The test statistic  can be computed as:

\(z = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{6 -7} {\dfrac{1.5}{\sqrt {30}}}\)

\(z = \dfrac{-1} {\dfrac{1.5}{5.477}}}\)

\(z = \dfrac{-5.477} {1.5}\)

z = -3.65

Given that ;

level of significance of 0.05;

z = -3.65

degree of freedom = 30 -  1 = 29

The p-value = P(\(t_{29}\) > - 3.65)

= 0.9998

Decision Rule: Reject \(H_o\) if p-value is less than the level of significance

But since the p -value is greater than the level of significance, we conclude that There is no enough evidence to support the  Internet provider  claim, Therefore;

Fail to Reject the Null Hypothesis

Answer:

30/5

15/5

-15/5

-10/5

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

more in math means add

if you multiply three by 26 is 78 + 2 would be 80  

PSA im not great in math

Answer:

AB=12m<6

BD=23m>7

Step-by-step explanation:

For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.

What is Compound interest?

Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.

Now,

The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.

The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is

P(x) = pˣ (1-p)ⁿ⁻ˣ

where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.

The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is

FV = PV x (1 + r/n)ⁿˣ

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.

While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.

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The binomial probability mass function formula and the compound interest formula are not directly related to each other.

The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:

A = P * (1 + r/n)^(nt)

where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.

While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.

Answer:

  156,240,000 miles

Step-by-step explanation:

The speed of light is about 186,000 mi/s. The distance is then ...

  (14 min)(60 s/min)(186,000 mi/s) = 156,240,000 mi

Mars was about 156 million miles from Earth.

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

  41/56

Step-by-step explanation:

The LCD is 7×4 = 28. With that denominator, the two fractions are ...

  5/7 = 20/28

  3/4 = 21/28

The average of the two values will be ...

  (5/7 +3/4)//2 = (20 +21)/28/2 = 41/56

_____

Additional comment

  5/7 ≈ 0.714285... (6-digit repeat)

  3/4 = 0.75

Then numbers like 0.72 = 18/25, or 0.73 = 73/100, or 0.74 = 37/50 will all be between the given fractions.

Of course, any terminating or repeating decimal in that range will also be a rational number. For example, 0.727272727272... = 8/11  will be a rational number in the required range.

Answer:

QR = 11

Step-by-step explanation:

The points all lie on the same line , then

PQ + QR + RS = PS , that is

PR + RS = PS , substitute values

18 + RS = 25 ( subtract 18 from both sides )

RS = 7

Given PQ = RS = 7 , then

PQ + QR = 18 , that is

7 + QR = 18 ( subtract 7 from both sides )

QR = 11

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:

It means that the number is raised to the power of c. For example, if it is (2^3), the answer would be 8.

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

they are equal.....

Answer:

i think the answer is C

Step-by-step explanation:

i normally just do length divided by width to figure this out

Answer:

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number of subsets in a set of n elements:

The number of subsets in a set of n elements, including the empty set, is given by:

\(2^{n}\)

Up to five toppings:

Up to five toppings means that the total number of possibilities is:

\(T = 2^{5} - 1 = 32 - 1 = 31\)

We subtract one to disconsider the option with no toppings.

What is the probability that Charity gets just chocolate chips and a cherry?

Chocolate chips and cherry is 1 subset, so \(D = 1\)

The probability is:

\(p = \frac{D}{T} = \frac{1}{31} = 0.0323\)

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

Answer:

Step-by-step explanation:

An equation of a circle with center (3,9)

whose radius is R :

(x-3)²+(y-9)²=R²

Substituting x=8, y=-3, we have :

5²+12²=R²

169=R²

13=R (∵R>0)

So the radius of the given circle is 13.

Just to remind you,

the equation of a circle is originated from Pythagoras theorem,

which represents the distance between

the center and an arbitrary point (of the circle).

Answer:37

Step-by-step explanation: The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.

We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.--Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world.

The results of the ANOVA test may not be reliable.

The conditions that must be met for the results of an ANOVA test to be reliable are that the observations must be independent of each other and randomly selected from their populations (A). Additionally, the variances for each population must be approximately equal to each other (B). This can be tested with the F-test, which is calculated by dividing the variance of the sample means by the variance of the individual observations. This test is used to determine if the variability between the groups is greater than the variability within the groups. If the F-test returns a value greater than 1, then the variances are not equal and the results of the ANOVA test may not be reliable. Lastly, the populations from which each group is drawn must be approximately Normal (C). This can be tested with a Shapiro-Wilk test or a visual inspection of a histogram or qqplot. If the populations are not normally distributed, then the results of the ANOVA test may not be reliable. The hypothesized means of the populations from which each group is drawn must be approximately equal (D). This can be tested with a t-test or a confidence interval. If the means are significantly different, then the results of the ANOVA test may not be reliable.

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D. dP/dt = 0.02P - N

The correct differential equation is dP/ dt = 0.02 P-N.

To decide the differential equation that describes the relationship between P and t, we can use the formula for continuously compounded interest

P = Pe^(rt)

where P is the balance of the account at time t, r is the periodic interest rate, and e is the fine constant e.

Now, we know that Ana is withdrawing money from the account continuously at a rate of N bones per time. This means that the rate of change of the balance, dP/dt, is equal to the difference between the interest earned and the money withdrawn

dP/dt = 0.02P - N

This is because the interest earned is 0.02P ( since the interest rate is 0.02 and the balance is P), and the plutocrat withdrawn is N.

Thus, the correct differential equation is dP/ dt = 0.02 P-N.

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Answer:

θ = 18°27'

Step-by-step explanation:

As the hint says, you need to calculate CE using the triangles ΔABC and ΔBDE.

Using segment addition, CE = CB + BE.  So first use trigonometry to find these segments.

First, let's find CB.

sin 22° = CB / 4.882

CB = 1.8288

Next, let's find BE.

cos 22° = AB / 4.882

AB = 4.5265

BD = AB − 1.975

BD = 2.5515

tan 48° = BE / BD

BE = 2.8337

Now we can find CE and θ.

CE = CB + BE

CE = 4.6626

cos θ = CE / 4.915

θ = 18.443°

A minute is 1/60th of a degree.

0.443° × (60 '/°) = 27'

So θ = 18°27'.

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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his balance will be 20 dollars

The expression y ÷ [3(4 - 2) + 5.5] in the simplified form will be y ÷ 11.5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ y ÷ [3(4 - 2) + 5.5]

Simplify the denominator, then we have

⇒ [3(4 - 2) + 5.5]

⇒ [3(2) + 5.5]

⇒ [6 + 5.5]

⇒ 11.5

Then the expression is written as,

⇒ y ÷ [3(4 - 2) + 5.5]

⇒ y ÷ 11.5

The expression y ÷ [3(4 - 2) + 5.5] in the simplified form will be y ÷ 11.5.

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The height of the cylinder is 25.

Option C is the correct answer.

We have,

To find the height of the right cylinder, we need to use the given information of the diagonal length and the total surface area.

The diagonal length of a right cylinder can be found using the formula:

diagonal = √(height² + radius²)

Given that the diagonal length is 37, we can set up the equation:

37 = √(height² + radius²)

We also know that the total surface area of a right cylinder is given by:

surface area = 2πrh + 2πr²

Given that the total surface area is 492π, we can set up the equation:

492π = 2πrh + 2πr²

Simplifying the surface area equation, we have:

246 = rh + r²

Now we have a system of equations:

37 = √(height² + radius²)

246 = rh + r²

Since we only need to find the height of the cylinder, we can focus on the first equation:

37 = √(height² + radius²)

Squaring both sides of the equation, we get:

37² = height² + radius²

1369 = height² + radius²

Substituting the second equation (246 = rh + r²) into the equation above, we have:

1369 = height² + (246 - rh)

Simplifying further, we get:

1369 = height² + 246 - rh

Now, let's analyze the answer options:

a. 35

b. 42

c. 25

d. 17

e. 32

We need to substitute each value into the equation and check if it satisfies the equation.

After checking each option, we find that the height that satisfies the equation is:

c. 25

Therefore,

The height of the cylinder is 25.

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Upon searching for your question, I believe there are 8 \(\frac{1}{4}\) cups, and not 814 cups.

Answer: 6 \(\frac{3}{4}\) cups of water

Step-by-step explanation:

    First, we will turn 12 ounces into units of cups.

         12 / 8 = 1.5 cups

    Now, we will subtract the start of the month from the end of the month.

         8.25 cups - 1.5 cups = 6.75 cups

   Lastly, we will turn it into a mixed number.

         .75 = \(\frac{3}{4}\)

         6 \(\frac{3}{4}\) cups

     6 \(\frac{3}{4}\) cups of water were added to the barrel during the month.

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The floor function evaluates to the largest integer that is less than or equal to the input value. In the case of f(3.85), the floor function returns  The value of f(3.85) is 3.

The function f(x) is defined as the greatest integer less than or equal to x, also known as the floor function. This means that for any given value of x, f(x) will be the largest integer that is less than or equal to x.

The function f(x) = ⌊x⌋ represents the greatest integer less than or equal to x. In other words, it rounds x down to the nearest whole number.

To evaluate f(3.85), we need to find the greatest integer less than or equal to 3.85. Since 3 is the largest integer that satisfies this condition, f(3.85) = 3.

The floor function is often represented using the notation ⌊x⌋. So, we can also write f(3.85) = ⌊3.85⌋ = 3.

The floor function evaluates to the largest integer that is less than or equal to the input value. In the case of f(3.85), the floor function returns 3 as the output.

The value of f(3.85) is 3.

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The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

Answer:

The amount of time that Sarah sleeps is 6<x<8

Step-by-step explanation:

Mathematical inequality is that proposition that relates two algebraic expressions whose values ​​are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.

A compound inequality (or combined inequality) is two or more inequalities joined with or and and.

When two inequalities are joined with and, they are often written as a double inequality.

You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:

8<x<10

If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:

6<x<8

The amount of time that Sarah sleeps is 6<x<8