Martina begins a dive at sea level. She dives down 20 feet, and then rises 7 feet.

She dives again, going down 9 more feet. How far below sea level is Martina?

Martina is
feet below sea level.

why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

Answer:

24 units squared

Step-by-step explanation:

the area of a parallelogram is its length times height

The probability that there is at least one car that has no working tires is given as follows:

0.0002 = 0.02%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

For each car, the parameters are given as follows:

p = 0.9, n = 4.

Hence the probability that a car has no working tires is given as follows:

P(X = 0) = (1 - 0.9)^4 = 0.0001.

Hence the probability that two cars have working tires is given as follows:

P(X = 2) = (1 - 0.0001)² = 0.9998.

The probability that at least one has no working tires is given as follows:

P(X < 2) = 1 - 0.9998 = 0.0002 = 0.02%.

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The percent of the front page taken up by the prom story is 20%

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

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

The word "geometry" comes from a Greek word that literally means measurement of the earth and was originally applied to the art of land surveying. ...

Step-by-step explanation:

I really hope this helps have a wonderful day

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of .

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

98% confidence level

So \(\alpha = 0.02\), z is the value of Z that has a pvalue of \(1 - \frac{0.02}{2} = 0.99\), so \(Z = 2.327\).  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \(\pi = 0.5\)

So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}\)

\(0.001\sqrt{n} = 2.327*0.5\)

\(\sqrt{n} = \frac{2.327*0.5}{0.001}\)

\((\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}\)

\(n = 1353732.25\)

Rounding up

A sample size of at least 1,353,733 is required.

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Answer:

A

Step-by-step explanation:

This can be rearranged as 4^3 * 1/(4^6)

or (4^3)/(4^6)

This can be changed to:

(4^3)/((4^3)*(4^3)

Which is equal to 1/(4^3)

or

4^(-3)

Answer:

the answer is 23

Step-by-step explanation:

2x9+15-10

18+15-10

33-10

23

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)

The table that is used to graph g(x) is given by table 3 and 4.

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation.

Given that, the function is:

f(x) = 1/3(6x) = 2x

f(x) = 2x

g(x) is the reflection of f(x) across the x-axis.

According to the rule of reflection, the reflection on x-axis is given as:

(x, y) → (x, -y)

Here, the y coordinated of the graph of g(x) has the same value but the opposite sign.

This is satisfied by the table 3 and 4.

Hence, the table that is used to graph g(x) is given by table 3 and 4.

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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The total points scored by Eduardo in the first three games is 97.

We are given a table that shows the points scored by Eduardo during three games.

In game 1, he scored 52 points.

In game 2, he scored 19 points.

In game 3, he scored 26 points.

In game 4, he scored 10 points.

We need to find the sum of the total points scored by him in the first three games.

A summation, also known as a sum, is the outcome of adding numbers or quantities arithmetically. A summation always has an even number of terms.

The points are 52 + 19 + 26 = 97.

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Using the t-distribution, it is found that:

a. The margin of error is of 4.7 homes.

b. The 98% confidence interval for the population mean is (19.3, 28.7).

The information given in the text is:

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The confidence interval is:

\(\overline{x} \pm M\)

The margin of error is:

\(M = t\frac{s}{\sqrt{n}}\)

Item a:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 23 - 1 = 22 df, is t = 2.508.

Then, the margin of error is:

\(M = t\frac{s}{\sqrt{n}} = 2.508\frac{9}{\sqrt{23}} = 4.7\)

Item b:

The interval is:

\(\overline{x} - M = 24 - 4.7 = 19.3\)

\(\overline{x} + M = 24 + 4.7 = 28.7\)

The 98% confidence interval for the population mean is (19.3, 28.7).

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Step-by-step explanation:

here's the answer to your question

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.

To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.

That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.

d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.

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Answer:

2. the interquartile range is 20

3. 80 is the median.

Step-by-step explanation:

have a nice day.

Answer:

6/11

Step-by-step explanation:

24/4=6

44/4=11

Answer:

6/11

hope this helps

have a good day :)

Step-by-step explanation:

The quotient is found to be 4/5. The correct option is (B).

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0. The number a is called as the numerator and b is the denominator. In order to divide two fractions take the reciprocal of the other fraction and change the sign as multiplication. It can be shown as a/b ÷ c/d = a/b × d/c.

The given expression is -3/5 ÷ (-3/4).

It can be simplified as follows,

Take the reciprocal of the fraction (-3/4) as -4/3.

And, change the sign of division to multiplication to obtain,

-3/5 ÷ (-3/4)

⇒ -3/5 × -4/3 = 4/5

Which the value of the quotient.

Hence, the quotient for the given arithmetic operation is 4/5.

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Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

The number is 65. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

For all real numbers in mathematics, there are four basic operations that must be understood:

1. Adding the numbers together (with a "+") to get their total.

2. Subtracting two numbers by employing the sign "-," which results in the difference between the numbers.

3. The product of the numbers is obtained through multiplication ('×').

4. The division ('÷') operation, which establishes the quotient of the numbers.

We are given that the difference of -1/5 of a number and 1 is 12.

Let the number be 'x'.

So, we get

⇒ -x/5 - 1 = 12

⇒ -x/5 = 13

⇒ -x = 65

⇒ x = 65

Hence, the number is 65.

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Answer:

y = 225(x)

Step-by-step explanation:

Given:

Cost per night = 225

Total cost = y

Number of nights = x

Computation:

Total cost = (Cost per night)(Number of nights)

So,

y = 225(x)