What is the first step in simplifying the following expression?

(((4+7) -2)^2 *4 -1 ÷2)

Your answer:

1÷2


2^2


2*4


(4+7)

(helppp!)

Answer:

Step-by-step explanation:

First of all you need to use BIDMAS/BODMAS whatever you call it. You can clearly see that division comes before addition so you need to do:

Answer:

16 months

Step-by-step explanation:

40k-16.5k=23.5k. 23.5k/1450= A little bit more than 16 months.

Answer:

Month 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, we have to find 14% of 56

14% of 56 is = 56 x 14/100

                  = 7.84

Now we have to increase the number 56 by 14%, which means we have to add 14% of 56 (7.84) to the given number (56)  

56 + (14% of 56)

= 56 + 7.84

= £63.84

If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.

The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.

To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.

First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.

Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:

⇒ Unit price = (Total cost)/(Weight of turkey in package),

⇒ Unit price = $9/1.25 pounds,

⇒ Unit price = $7.20 per pound,

Therefore, the unit price of turkey in the package is $7.20 per pound.

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The given question is incomplete, the complete question is

A store sells a 1(1/4) pound package of turkey for $9. ​What is the unit price of the turkey in the package?

Angie computing the correlation between the intelligence test scores and the household incomes in a large sample of American adults will most likely yield a positive correlation.

What is correlation?

Correlation refers to the statistical association between two variables. It is used to determine the extent to which one variable is related to another variable. The correlation coefficient ranges from -1 to +1, with a coefficient of -1 indicating a perfect negative correlation and a coefficient of +1 indicating a perfect positive correlation.

What is positive correlation?

A positive correlation exists between two variables when both variables move in the same direction. When one variable increases, the other variable also increases. When one variable decreases, the other variable also decreases.In this situation, it's fair to suggest that there is a positive correlation between intelligence test scores and household incomes. In general, people with higher intelligence scores are more likely to be employed in high-paying jobs, resulting in higher household incomes. Therefore, Angie should find a positive correlation between the two variables.

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The following is the response to the query:supposing Jessica puts $4,000 into an account that accrues simple interest at a 3% annual rate.

The answer to the question is as follows:Given that Jessica deposits $4000 into an account that pays simple interest at a rate of 3% per year.To find the amount of interest Jessica will be paid in the first 5 years, we'll need to use the simple interest formula.Simple Interest = (P * r * t) / 100Where,P = principal amount (initial amount deposited) = $4000r = annual interest rate = 3%t = time = 5 yearsSubstituting the given values, we have:Simple Interest = (P * r * t) / 100= (4000 * 3 * 5) / 100= $600Hence, the amount of interest Jessica will be paid in the first 5 years is $600.

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The amount of interest Jessica will be paid in the first 5 years is $600.

The following is the response to the query:

Supposing Jessica puts $4,000 into an account that accrues simple interest at a 3% annual rate.

The answer to the question is as follows:

Given that Jessica deposits $4000 into an account that pays simple interest at a rate of 3% per year.

To find the amount of interest Jessica will be paid in the first 5 years, we'll need to use the simple interest formula.

Simple Interest =  \(\frac{(P * r * t)}{100}\)

Where,

P = principal amount (initial amount deposited) = $4000r

= annual interest rate = 3%

t = time = 5 years

Substituting the given values, we have:

Simple Interest = \(\frac{(P * r * t)}{100}\)

=  \(\frac{(4000 * 3 * 5)}{100}\)

= $600

Hence, the amount of interest Jessica will be paid in the first 5 years is $600.

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The right response is 21 days, minus any days that the location was unavailable or inaccessible.

This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..

Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.

Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.

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The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

We have first three colour Green that is g1 , g2 and g3

And We have next three colour red that is r1 , r2 and r3

The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!

=> \(\frac{ 3! * 4! *3!}{6!}\)

=> \(\frac{1}{5}\)

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

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We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

The fraction of the sheet that Amelia used for each card is 1/18 sheets.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

First of all, we would determine the total number of sheet of construction paper used as follows;

Total number of sheet of construction paper used = 6 × 3

Total number of sheet of construction paper used = 18 sheets.

Now, we can determine the fraction of the sheet used by Amelia as follows;

Fraction of sheet = 1/3 × 1/6

Fraction of sheet = 1/18 sheets.

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Complete Question:

Amelia had 1/3 of a sheet of construction paper to make 6 greeting cards. What fraction of the sheet did she use for each card?

Answer:

the answer is 3x as that is the slope

Answer:

3

Step-by-step explanation:

yeah < 3

Answer: 360

Step-by-step explanation:

400 meters to start and descending 140

400-140=360

Answer:They are all Less Than

Step-by-step explanation:

Determine whether the series converges or diverges. n + 4 (n + 5)6 n = 9 converges O diverges,  The series diverges.

To determine whether the series n + 4(n + 5)^6/(n = 9) converges or diverges, we can examine the behavior of its terms as n approaches infinity.

As n becomes larger, the dominant term in the series is 4(n + 5)^6. This term grows exponentially with n, overpowering the n term. Therefore, the series does not approach a finite value as n goes to infinity.

Since the series does not converge to a finite value, it diverges.

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Answer:

81

Step-by-step explanation:

9x1=9

9x2=18

9x3=27

9x4=36

9x5=45

9x6=54

9x7=63

9x8=72

Just add Nine

72+9=81 which mean

9x9=81 I know you already knew the answer but for kids that didn't know just trying to make it easier Good luck with Math

Elizabeth can dress up in 720 different ways.

We must add up the alternatives for each piece of clothing to reach the total number of outfits Elizabeth can wear.

Six skirt choices are available.

5 variations for shirts are available.

Given that she must select one pair from a possible four pairs of shoes, there are four possibilities available.

There are two different necklace alternatives.

3 different bracelet choices are available.

We add these values to determine the total number of possible combinations:

Total number of ways = (Number of skirt choices) + (Number of top options) + (Number of pairs of shoes options) + (Number of necklace options) + (Number of bracelet options)

Total number of ways is equal to 720 (6, 5, 4, 2, and 3).

Elizabeth can therefore dress up in 720 different ways

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Answer: -3 or -$3.

Step-by-step explanation:

First, the set of integer numbers is the set of all the whole numbers (negatives, zero, and positives).

We want to write a $3 loss, now, the most important part here is that we have a loss, so we must represent this with a negative number.

Then we can write this as:

"An integer that represents a $3 loss"

is -3 or -$3 (if we want to also respect the units)

a. The probability of a correct decision on each trial is 0.1.

b. The expected number of correct decisions in seven trials is 0.7.

c. The probability of no correct decisions in seven trials is approximately 0.478.

d. The probability that the psychic guesses incorrectly in all seven trials is approximately 0.0078.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

a. If the psychic is guessing (i.e., does not possess ESP), there are 10 boxes, and only one of them contains the crystal.

Therefore, the probability of a correct decision on each trial is -

p = 1/10 = 0.1

b. If the psychic is guessing, the expected number of correct decisions in seven trials can be found by multiplying the probability of a correct decision on each trial (0.1) by the number of trials (7) -

E(X) = np = 7 × 0.1 = 0.7

Therefore, the number of correct decisions is 0.7.

c. If the psychic is guessing, the probability of no correct decisions in seven trials can be found using the binomial distribution formula -

\(P(X=0) = (n\ choose\ x) \times p^x \times (1-p)^{(n-x)}\)

In this case, n = 7, x = 0, and p = 0.1.

Substituting these values into the formula, we get -

\(P(X=0) = (7\ choose\ 0) \times 0.1^0 \times 0.9^7 = 0.478\)

Therefore, the probability value is 0.478.

d. If the psychic has ESP and p = 0.5, the probability of guessing incorrectly on any trial is -

q = 1 - p

q = 1 - 0.5

q = 0.5

The probability of guessing incorrectly in all seven trials can be found using the binomial distribution formula -

\(P(X=7) = (n\ choose\ x) \times p^x \times q^{(n-x)}\)

In this case, n = 7, x = 7, p = 0.5, and q = 0.5.

Substituting these values into the equation, we get -

\(P(X=7) = (7\ choose\ 7) \times 0.5^7 \times 0.5^0 = 0.0078\)

Therefore, the probability value is 0.0078.

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The Tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (ESP). A crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the number of decisions, was recorded. (Assume that the seven trials are independent.)

a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial?

b. If the psychic is guessing, what is the expected number of correct decisions in seven trials?

c. If the psychic is guessing, what is the probability of no correct decisions in seven trials?

d. Now suppose the psychic has ESP and p=.5. What is the probability that the psychic guesses incorrectly in all seven trials.

If the diver goes down 20. 6 meter underwater and then goes up \(5\frac{7}{10}\)  meter, then the depth of the scuba diver is -14.9 below the surface

A scuba diver begin at the surface of the ocean.

The distance that he go down = 20.6 meter

The current depth of the scuba diver = 0 - 20.6 meters

= -20.6 meters

The distance that he go up = \(5\frac{7}{10}\) meters
Convert the mixed fraction to the simple fraction

\(5\frac{7}{10}\) meters = 57/10 meters

The current depth of the scuba diver = -20.6 + 57/10

= -14.9 meters

Hence, the depth of the scuba diver is 14.9 meters below the surface

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in the linear equation, the pounds of oranges would be the independent variable, and the cost of the oranges would be the dependent variable.

In this scenario, the independent variable is the pounds of oranges, while the dependent variable is the cost of the oranges.

The independent variable is the one that can be changed or controlled, and in this case, it is the pounds of oranges. Hector can choose the amount of oranges he wants to purchase.

The dependent variable is the one that is influenced by the independent variable, and in this case, it is the cost of the oranges. The cost of the oranges depends on the weight that Hector decides to buy.

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The height of the span of the radionace above the ground, considering the fictitious curvature of the Earth, is approximately -0.00000768 meters. Please note that a negative value indicates that the span is below the ground level.

To calculate the height of the span of a radionace above the ground, we can use the formula for the line-of-sight distance between two points taking into account the curvature of the Earth:

H = (D * (H2 - H1)) / (2 * R * K - D)

where:

H = Height of the opening above the ground

D = Span distance in kilometers

H1 = Height of the transmitting antenna in meters

H2 = Height of the receiving antenna in meters

R = Real radius of the Earth in meters

K = Earth radius correction constant

Given the following values:

Span distance (D) = 10 km

Distance to the obstacle (D1) = 5 km

Height of the transmitting antenna (H1) = 200 m

Height of the receiving antenna (H2) = 187 m

Real radius of the Earth (R) = 6371 km (converted to meters)

Earth radius correction constant (K) = 1.33

Let's substitute these values into the formula:

H = (10 * (187 - 200)) / (2 * 6371000 * 1.33 - 5)

Calculating the expression in the denominator:

2 * 6371000 * 1.33 - 5 = 16914410

Now, we can substitute this value into the formula:

H = (10 * (187 - 200)) / 16914410

Simplifying the numerator:

10 * (187 - 200) = -130

Finally, we calculate the height:

H = -130 / 16914410

H ≈ -0.00000768

The height of the span of the radionace above the ground, considering the fictitious curvature of the Earth, is approximately -0.00000768 meters. Please note that a negative value indicates that the span is below the ground level.

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Answer:

I got 30/63

Step-by-step explanation:

Was this the answer you were looking for?

Answer:

$530

Step-by-step explanation:

$80/hr x 6 = $480

+the $50 assessing fee

=$530

Answer:

$530

Step-by-step explanation:

Answer:

jake did :)

Step-by-step explanation:

hope this helps ! <3

Lance is fastest because the speed of the Lance is 4.5 miles/hour and Jale speed is 4.16 miles/hour as 4.5>4.16

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Jake ran = \(2\frac{1}{2}\) miles = 5/2 miles

In 3/5 hours

Thespeed = (5/2)/(3/5) =  4.16 miles/hours

Lance ran = \(3\frac{3}{4}\) miles = 15/4 miles

In 5/6 hours

The speed = (15/4)/(5/6) = 4.5 miles/hours

Thus, Lance is fastest because the speed of the Lance is 4.5 miles/hour and Jale speed is 4.16 miles/hour as 4.5>4.16

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Answer:

arc IAR

Step-by-step explanation:

major arc mean longer arc of circle connecting two end points

The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.

To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:

t = (sample mean - hypothesized mean) / (sample standard deviation/sqrt (sample size))

In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:

t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2

Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.

To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.

If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.

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