Solve and type in a different form by using the given theorems of logarithms
\( log( \binom{10}{y} ) \)
​

Answer:

Q=8

Step-by-step explanation:

Just multiply the entire first function by 2

therfore

(x-3y=4) * 2

therefore

=2x-6y=8

This is the same as the second function and in it, the coefficient of x is 2, therefore

Q=8

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

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Answer: x = 1/3

Step-by-step explanation:

5/x - 9/x = -8 - 4

-4/x = -12

x = -4/-12

x = 1/3

Answer:

-19

Step-by-step explanation:

symbolab- a website that you enter an equation in and it solves it for you it's free and no videos or anything :)

Answer:

Step-by-step explanation:

the two ends , made up of triangles make an 8x5x5  box1

box1 = 200

the center piece makes a box2  of 10x8x5

box2 = 400

volume = 600 \(ft^{3}\)

Answer:

$43.50

Step-by-step explanation:

.06 x 725 = 43.50

Answer:

-8.66666667 feet because:

Step-by-step explanation:

-2 1/3 x 3 = 7

-2 1/3 ÷ 2 = 1.66666666667

7 + 1.6666666667 = 8.66666667

Answer:

7/5

Step-by-step explanation:

it is 2/7 more than what it was (5/5)

The last temperature will be 73.2 degrees Fahrenheit.

The parameter f(m) 15.2m+58 in the straight capability addresses the rate at which the water temperature increments over the long haul. In particular, it addresses the number of degrees Fahrenheit that the water temperature increments for each 1 moment of warming. So assuming the water has been warming for 2 minutes, its temperature will have expanded by 2 * 15.2 = 30.4 degrees Fahrenheit.

Parameter 58 in the linear function addresses the underlying temperature of the water when it begins warming. It is estimated in degrees Fahrenheit. So on the off chance that the water begins at a temperature of 58 degrees Fahrenheit and is warmed for 1 moment, its last temperature will be 15.2 + 58 = 73.2 degrees Fahrenheit.

Subsequently, The last temperature will be 73.2 degrees Fahrenheit.

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5/x = x/ 9

Cross-multiply

x² =45

Take the square root of both-side

x = 3√5 or 6.7082039325

Answer:

a) CE=PR

b) TR=FE

c) <F=<T

d) <P=<C

e) RPT=ECF

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(4) = 4-7 = -3

g(-3) = (-3)^2 = 9

Answer:

30 centimeters

Step-by-step explanation:

120 ÷2 =60 now you must use only .5 of that number so you have thirty

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Answer:

28.1%

Step-by-step explanation:

A town's population in 2019 was 438,000. The town's current population is 561,000. What is the percent of change?

The formula for Percent change =

Final value - Initial value/Initial value × 100

= 561000 - 438000/438000 × 100

= 123000/438000 × 100

= 28.082191781%

Approximately = 28.1%

Therefore, percent change = 28.1%

Answer:

3 loaves of bread

Step-by-step explanation:

2/3*3=6/3= 2 cups of oil

Answer:

Step-by-step explanation:

Let p be the number of pennies and n be the number of nickels. As you have $8.80 in total (given that pennies are worth $0.01 and nickels are worth $0.05)

0.01p + 0.05n = 8.80

You also know that there are twice as many nickels than pennies (or alternatively, there are 2 nickels for every penny).

n = 2p

You can substitute this value of n into the first equation

0.01p + 0.05n = 8.80

0.01p + 0.05(2p) = 8.80

0.01p + 0.10p = 8.80 (multiplying out the brackets)

0.11p = 8.80 (collecting the p's)

p = 80

Putting this back into the second equation

n = 2p

n = 2(80) = 160

So there are 160 nickels and 80 pennies.

You can put this back into the first equation to check it.

0.01p + 0.05n = 8.80

0.01(80) + 0.05(160) = 0.80 + 8 =8.80

The inequality that models the situation is:

\(15000 + 4s \geq 450000\)

Solving it, it is found that they need to sell at least 108,750 shirts.

During the day:

Hence, the earnings are:

\(T = 15000 + 4s\)

They want to earn at least 450,000, hence:

\(T \geq 450000\)

\(15000 + 4s \geq 450000\)

Solving it:

\(15000 + 4s \geq 450000\)

\(4s \geq 435000\)

\(s \geq \frac{435000}{4}\)

\(s \geq 108750\)

They need to sell at least 108,750 shirts.

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Answer: 60,000 tiles

Step-by-step explanation:

First find the area of the mural.

= 3 * 2

= 6 m²

The find the area of the tiles.

= 1 * 1

= 1 cm²

I m² = 10,000 cm²

There is therefore:

= 6 * 10,000

= 60,000 cm²

That is the area that needs to be covered in cm²

Seeing as each tile is 1cm², the number of tiles needed is:

= 60,000 / 1

= 60,000 tiles

Answer: the answer is 60,000 tiles

by the way that kinda seems like a lot of tiles to place like how long is that gonna take.

P₂ = (-3, 10)

The midpoint, (a, b) = (-5, 3)

The starting point, P₁ = (x₁, y₁) = (-7, 4)

Let P₂ = (x₂, y₂)

The formulae for the coordinates of the midpoint are:

To solve for x₂, substitute a = -5, x₁ = -7 into the formula

To solve for y₂, substitute b = 3, y₁ = -4 into the formula

Therefore, P₂ = (-3, 10)

Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

Sorry I'm late

803 words

To find the number of customers at the carwash, we can use Little's Law which states that the average number of customers in a queuing system is equal to the average arrival rate multiplied by the average time that a customer spends in the system.

First, we need to convert the arrival rate and service rate into units of minutes by dividing by 60. So, the arrival rate is 7/60 customers per minute and the service rate is 12/60 customers per minute.

Since we know the average waiting time in the line is 18 minutes, we can calculate the average time that a customer spends in the system as the sum of the waiting time and the service time, which is 18 minutes (waiting time) + 5 minutes (service time) = 23 minutes.

Using Little's Law, the average number of customers in the system is then:

Average number of customers = average arrival rate * average time in system

= (7/60) * 23

= 2.55

Therefore, there are approximately 2.55 customers (waiting and being served) at the carwash.

In summary, Little's Law can be used to determine the average number of customers in a queuing system given the arrival rate and the average time that a customer spends in the system. In this case, we used Little's Law to find that there are approximately 2.55 customers (waiting and being served) at the carwash based on an arrival rate of 7/ hour, a service rate of 12/ hour, and an average waiting time of 18 minutes.

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a) According to the central limit theorem, the mean is $142 and the standard deviation is $0.7488.

b) Nearly normal according to the central limit theorem.

c) 0.0901 = 9.01% probability that the average cable service paid by a sample of cable service customers exceeds $170 in the central limit theorem.

Normal probability distribution:

The normal probability distribution, discovered by Abraham De Moivre in 1733, approximates the binomial probability distribution when a particular experiment has a very large number of trials. In 1774 Laplace studied the mathematical properties of the normal probability distribution. By historical error, the discovery of the normal distribution was attributed to Gauss, first mentioned in his 1809 paper. In the 19th century, many scientists discovered that measurement errors in a particular experiment followed a pattern (usual error curve). ), which was very well approximated by this probability distribution.

Central Limit Theorem:

The central limit theorem is a statistical theory that for large sample sizes with finite variance, samples are normally distributed and the mean of the sample is approximately equal to the mean of the entire population.

According to the Question:

The average monthly charge is $142 with a standard deviation of $29.

This is μ = 142 and σ = 29

Part a:

The mean and standard deviation of the sampling distribution of x to show your research and support your argument:

1500 samples (over 30).

According to the Central Limit Theorem

The mean is 142 $

The standard deviation is s = \(\frac{29}{\sqrt{1500} }\) = 0.7488

Part b:

Shape of sampling distribution of X.

Due to the large sample size, the shape of the sample distribution is almost normal. According to the central limit theorem, which states that the sampling distribution converges to the normal distribution as the sample size increases. Mean ~ N(142, 0.749²)

Part C:

The probability that the average cable service paid by a sample of cable service customers exceeds $170.

Therefore, by the central limit theorem, the p-value of Z when X= 170

                         Z =  x - μ/ σ

By the Central Limit Theorem:

   Z = 170 - 142 / 0.7488

      = 28/ 0.7488

      = 37.34 exceeds 0.9099

Using the Z probability calculator :

P(Z > 1.335) = 0.09093

Complete Question:

The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. the distribution is not normal many people pay about $76 for basic cable and about $160 for premium service but some pay much more. a sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. let x hat be the mean amount paid.

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Part b: what is the shape of the sampling distribution of x hat justify your answer.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $170? show your work.

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Answer:

Fraction form:       1/729

Decimal form:      0.00137174...

Exponent form:   3^-6

The probability that it is a false negative (test indicates the person does not have the disease when in fact they do) is 0.0348.

This probability indicates that the test's accuracy is 0. 0348; as the likelihood of this inaccuracy is minimal, the test is quite accurate.

The likelihood that a randomly chosen result will be a false negative, meaning that the test will show that the person does not have the condition while in fact they do:

\(P(NP|D) = \frac{4}{115} \\\\P(NP|D) = 0.0348\)

We may infer that the occurrence is unlikely to occur and that the test is reasonably accurate because the probability is less than 0.0500.

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we might talk about the possibility of one result or the likelihood of several. The study of occurrences that fit into a probability distribution is known as statistics.

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