Which value of c makes the ratios equal? *
5/6=9/c
1. c = 10.2
2. c = 11
3. c = 5.8
4. c = 10.8

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{ \textit{we'll use this one} }{a^{log_a (x)}=x} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_5(x-7)=2\implies 5^{\log_5(x-7)}=5^2\implies x-7=5^2 \\\\\\ x-7=25\implies x=32\)

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

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

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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Answer:

See explanation.

Step-by-step explanation:

Answer:

60,000,000,000

Step-by-step explanation:

You can add the zeros and multiply 3 x 2 which is 6 then add the zeros in both numbers.

the coma is misplaced to it's

20,000 x 3,000,000 = 60,000,000,000

Answer:

60,000,000,000

Step-by-step explanation:

You can add the zeros and multiply 3 x 2 which is 6 then add the zeros in both numbers.

the coma is misplaced to it's

20,000 x 3,000,000 = 60,000,000,000

Step-by-step explanation:

Answer:

I need points lol well I kinda have no idea what ur taking abt

Answer:

the calculator i used was called calculator soup this is a website all u gotta do is search up factor calculator and it will pop up this website always helps if u want u can search up what u calculator u want at the top where it says search

Answer:

The sample size is  \(n =278\)

Step-by-step explanation:

From the question we are told that

    The margin of error is  \(E = 100\)

    The standard deviation is  \(\sigma = 850\)

Given that the confidence level is  95% then the level of significance is mathematically represented as

       \(\alpha = (100-95)\%\)

       \(\alpha =0.05\)

Next we obtain the critical value  \(\frac{\alpha }{2}\) from the normal distribution table  

  The value  is  \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the sample size is mathematically represented as

       \(n = \frac{(Z_{\frac{\alpha }{2}})^2}{E^2} * \sigma^2\)

=>   \(n = \frac{(1.96)^2}{100^2} * 850^2\)

=>    \(n =278\)

Answer:

54.33

Step-by-step explanation:

Answer:

54.33

Step-by-step explanation:

Addition or a calculwtor can be used

4500 is the Cost price.

What do you mean by price at cost?

SP = 5625

Profit = 25%

CP = ?

 CP =    5625/125 * 100

       = 45 * 100

       = 4500

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Answer:

what we have to find or to prove.

The matrix should be completed as shown below;

(1) Hockey

(2) Baseball

(3) Percent of no-shows.

(4) Lost revenue per fan ($).

Based on the information provided above, we can logically deduce the following parameters about these sports teams;

Percentage of absent fans (Basketball) = 20%.

Percentage of absent fans (Hockey) = 20%.

Percentage of absent fans (Football) = 15%.

Percentage of absent fans (Baseball) = 13%.

Lost revenue per fan (Basketball) = $18.18.

Lost revenue per fan (Hockey) = $18.29.

Lost revenue per fan (Football) = $19.04.

Lost revenue per fan (Baseball) = $16.52.

Total annual lost revenue per fan (Basketball) = $20.2 million.

Total annual lost revenue per fan (Hockey) = $37.1 million.

Total annual lost revenue per fan (Football) = $50.3 million.

Total annual lost revenue per fan (Baseball) = $93.6 million.

Next, we would complete the matrix as follows;

                                                  Baseball   Hockey       Football      Baseball

Percent of no-shows                       20            20              15             13

Lost revenue per fan ($)                18.18        18.29         19.04        16.52

Lost annual revenue ($ millions)    20.2          37.1           50.3           93.6

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Answer:

a) CI = (113,637.5  ,  124,672.5)

b) CI = (112,581  ,  125,729)

c) CI = (110,501.4  ,  127,808.6)

Step-by-step explanation:

You have the following information:

\(\overline{x}\): mean annual household income = 119,155

σ: standard deviation = 30,000

n: sample = 80

The interval of confidence is given by the following expression:

\(\overline{x}\pm Z_{\alpha/s}(\frac{\sigma}{\sqrt{n}})\)

Z_α/2: distribution density factor

where α and Z_α/2 are given by the range of the confidence interval.

a) For a 90% confidence interval you have:

α = 1 - 0.9 = 0.1

Z_0.1/2 = Z_0.05 = 1.645   (found in a table of normal distribution)

You replace in the equation (1) to obtain the confidence interval:

\(119,155\pm (1.645)(\frac{30,000}{\sqrt{80}})\\\\=119,155\pm5,517.5\)

Then, the confidence interval is (119,155 + 5,517.5 , 119,155 - 5,517.5  )

= (113,637.5  ,  124,672.5)

b) For a 95% confidence interval you have:

α = 1 - 0.95 = 0.05

Z_0.05/2 = Z_0.025 = 1.96

\(119,155\pm (1.96)(\frac{30,000}{\sqrt{80}})\\\\=119,155\pm 6,574.0\)

The confidence interval is (112,581  ,  125,729)

c) For a 99% confidence interval:

α = 1 - 0.99 = 0.01

Z_0.01/2 = Z_0.005 = 2.58

\(119,155\pm (2.58)(\frac{30,000}{\sqrt{80}})\\\\=119,155\pm 8,653.6\)

The confidence interval is (110,501.4  ,  127,808.6)

d) When the confidence level increases the width of the confidence increases too. This can be noticed in the normal distribution, when the confidence level is higher, the area of the tails is reduced, and so, the confidence interval is higher.

Different arrangements of the display are possible is 2520.

Given:

the artist r. locklen jones selects 5 paintings from a collection of 7 to display in a row.

Permutation :

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

= \(7_P_5\)

we know that,

\(n_P_r\) = n! / ( n - r ) !

\(7_P_5\) = 7! / ( 7 - 5 ) !

= 7! / ( 2 ) !

= 7! / 2!

= 7 * 6 * 5 * 4 * 3 * 2! / 2!

= 42 * 20 * 3

= 840 * 3

= 2520

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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From the results, the mode of transportation that was faster for June is Bus.

To obtain the fastest means of transportation, the mode of the figures will provide a clue. For Bus, the figures are 16, 14, 15, 14, 31, 15 and for walking, the figures are 22, 19, 21, 20, 21, 20.

The highest nmbers in occurence for the first set of figures are 14 and 15 and for the second set of figures, the numbers that appeared most are 20, 21, and 22. So, the bus offered the fastest route for going to school.

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Answer:

Step-by-step explanation:

You want the left sum and the right sum of the four subinterval areas under the curve f(x) = √(x+3) on the interval [-1, 1].

The Riemann sum is the sum of the subinterval areas. The area of each subinterval is the height of the rectangular area, multiplied by its width. Here, the interval width is (1 -(-1))/4 = 0.5.

The heights of the intervals of interest will be the function values f(-1 +0.5n) for f(x) = √(x+3) and n = 0 .. 3 for the left sum and 1 .. 4 for the right sum.

The attached calculator display shows the function values for n=0 .. 4. The expression Total(Most( )) adds the first four function values; while the expression Total(Rest( )) adds the last four function values of these five. Multiplying by the interval width (1/2) gives the left- and right-Riemann sums, respectively.

__

Additional comment

The actual integral value is about 3.44772.

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Answer:

slope is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dividing 63.934g by 20g

=3.1962

Answer:

52.9º

Step-by-step explanation:

complementary is when the sum of two angles is 90 degrees

to solve, simply take 37.1 and subtract it from 90:

⇒ 90 - 37.1

⇒ 52.9

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Answer:

2 1/2 miles per gallon

Step-by-step explanation:

So to travel 8 3/4 miles, we need 3 1/2 gallons of gas. All we need to do is divide the gallons of gas by miles. So we would do 8 3/4 divided by 3 1/2. 3 1/2 goes into 8 3/4 2 1/2 times.

The result can be shown in multiple forms.

Exact Form:

15/7

Decimal Form:

2.142857

Mixed Number Form:

2   1/7

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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m

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much love <333 good bye!!

Answer:

The correct answer is:

r + 0.50 = 10.25: Subtract .50 from both sides. The answer is $9.75.

This is because Juan got a $0.50 raise which means that his new rate will be $0.50 more than his original rate (r).

Answer:

$9.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer: D

Step-by-step explanation:

Hope it helps

Answer:

A. 3.67 units

Step-by-step explanation:

I calculated it logically