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W divided by 3 minus 5 equals 7


what is w ?

Answers

Answer 1
Answer:

Answer:

w=36

Step-by-step explanation:

Your welcome

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Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm. 

What is the longest the bolt can be and still be acceptable?



What is the shortest the bolt can be and still be acceptable?

Answers

Answer:

  • longest: 12.2 mm
  • shortest: 11.8 mm

Step-by-step explanation:

The longest acceptable bolt is one that is longer than the mid-range value by an amount equal to the difference limit, 0.2 mm

  12 mm + 0.2 mm = 12.2 mm . . . . longest acceptable bolt

The shortest acceptable bolt is one that is shorter than the mid-range value by an amount equal to the difference limit.

  12 mm - 0.2 mm = 11.8 mm . . . . shortest acceptable bolt

Ifā=r, then which of the following are true statements?Check all that apply.
O A. n1/r = a
✓ B. = a
c. a1/nur
O D. a' = n.

Answers

Answer:

B. a = rⁿ

C. a¹/ⁿ = r

Step-by-step explanation:

ⁿ√a = r

The above expression can be simplified as follow:

1. ⁿ√a = r

Recall:

ⁿ√a = a¹/ⁿ

Therefore,

a¹/ⁿ = r

2. ⁿ√a = r

Take the n square of both side

(ⁿ√a)ⁿ = rⁿ

(a¹/ⁿ)ⁿ = rⁿ

a = rⁿ

There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?

Answers

There are 60 more girls

Final answer:

There are 420 students divided into 7 parts due to the ratio of girls to boys being 4:3. With one part totaling 60 students, there are 240 girls and 180 boys. Thus, there are 60 more girls than boys.

Explanation:

To solve this problem, you need to understand the concept of ratios. In this case, the ratio of girls to boys is 4:3. This means that for every 4 girls, there are 3 boys. If we add the two parts of the ratio together, we get 7 parts. This means that the total number of students, which is 420, is to be divided into 7 parts.

So, one part of this ratio is equal to 420 divided by 7, which equals 60 students. Since the ratio claims there are 4 parts of girls and 3 parts of boys, to find out the numbers of girls and boys, we multiply each part of the ratio by 60. Hence, the total number of girls is 4 multiplied by 60, which equals 240 and the number of boys is 3 multiplied by 60, which equals 180.

Therefore, the difference in number between girls and boys is 240 minus 180, which equals 60. So there are 60 more girls than boys.

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Pls, help. ASAP. just think about the pts and brainliest

Answers

Answer:8.9

Step-by-step explanation:

192/43 is about 4.46

4.46*2 is about 8.9

8.9

192/43 is around 4.46

4.46*2 is around 8.9

Need help with this question all parts (Use the image on cypto to help solve the question)

Answers

Explanation

Part a

We first need to find the encoding and decoding functions used by Boris and Natasha. We know that these two must be linear functions with 1 as the coefficient of x. Then the encoding function must have the form:

f(x)=x+b

Where x is the number associated with the letter and b is a constant that we don't know. The decoding function is its inverse:

f^(-1)(x)=x-b

Now let's take a look at the table that associates the letters with numbers. The minimum number is 1 associated with A and the maximum is 27 associated with Blank. Now let's write the encoded version of these two:

\begin{gathered} f(1)=1+b \n f(27)=27+b \end{gathered}

And let's find the difference between their encoded values:

f(27)-f(1)=(27+b)-(1+b)=27-1+b-b=27-1=26

So the difference between their encoded values is the same as the difference between their decoded values. Since 1 and 27 are the minimum and maximum decoded values their difference is the greatest of all the difference between two decoded values. Then there's no other pair of decoded values with a difference equal to 26 and since the difference between two encoded values is the same as the difference between two decoded values we can assure that 26 is the maximum difference between two encoded values and it corresponds to the pair A - Blank.

This implies that if the difference between the minimum and maximum value in the message sent by Boris and Natasha is 26 we can assure that this pair of values is the one corresponding to A and Blank.

Part b

The minimum and maximum values in the message are 15 and 41 and their difference is 41 - 15 = 26. This means that 15 is the encoded value of A and 41 is that of Blank. Then we can construct two equations using the encoding function:

\begin{gathered} f(1)=1+b=15 \n f(27)=27+b=41 \end{gathered}

By substracting 1 from both sides of the first equation and 27 from both sides of the second equation we obtain b:

\begin{gathered} 1+b-1=15-1\Rightarrow b=14 \n 27+b-27=41-27\Rightarrow b=14 \end{gathered}

So b=14 and the encoding function is f(x)=x+14.

Then the decoding function is f⁻¹(x) = x - 14.

Part c

Now we need to decode the message. We simply need to evaluate the decoding function at all the numbers in the encoded message:

\begin{gathered} f^(-1)(25)=25-14=11 \n f^(-1)\left(19\right)=19-14=5 \n f^(-1)(30)=30-14=16 \n f^(-1)(41)=41-14=27 \n f^(-1)(17)=17-14=3 \n f^(-1)(15)=15-14=1 \n f^(-1)(26)=26-14=12 \n f^(-1)(27)=27-14=13 \n f^(-1)(28)=28-14=14 \n f^(-1)(18)=18-14=4 \n f^(-1)(29)=29-14=15 \n f^(-1)(34)=34-14=20 \n f^(-1)(22)=22-14=8 \end{gathered}

Then we replace each encoded value by its respective decoded value so the message in numbers is:

11 5 5 16 27 3 1 12 13 27 1 14 4 27 4 15 27 20 8 5 27 13 1 20 8

Using the table associating numbers and letters we obtain the final message:

KEEP CALM AND DO THE MATH

Business Week conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively. Assume the standard deviation for the male graduates is $40,000 and for the female graduates it is $25,000. 1. In which of the preceding two cases, part a or part b, do we have a higher probability of obtaining a smaple estimate within $10,000 of the population mean? why? 2. What is the probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean?

Answers

Answer:

1. Due to the lower standard deviation, it is more likely to obtain a sample of females within $10,000 of the population mean

2. 15.87% probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = (\sigma)/(√(n)).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

1. In which of the preceding two cases, part a or part b, do we have a higher probability of obtaining a smaple estimate within $10,000 of the population mean? why?

The lower the standard deviation, the less dispersed the values are, meaning it is more likely to find values within a certain threshold of the mean.

So

Due to the lower standard deviation, it is more likely to obtain a sample of females within $10,000 of the population mean.

2. What is the probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean?

We have that:

\mu = 168000, \sigma = 40000, n = 100, s = (40000)/(√(100)) = 4000

This probability is the pvalue of Z when X = 168000 - 4000 = 164000. So

Z = (X - \mu)/(\sigma)

By the Central Limit Theorem

Z = (X - \mu)/(s)

Z = (164000 - 168000)/(4000)

Z = -1

Z = -1 has a pvalue of 0.1587

15.87% probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean

Final answer:

1. We have a higher probability of obtaining a sample estimate within $10,000 of the population mean when the standard deviation is smaller. In this case, the standard deviation for female graduates is smaller, so the probability is higher. 2. The probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean can be calculated using the z-score formula and the z-table.

Explanation:

1. In the case where the standard deviation is smaller, we have a higher probability of obtaining a sample estimate within $10,000 of the population mean. This is because a smaller standard deviation indicates less variability in the data, making it more likely for the sample mean to be closer to the population mean. In this case, the standard deviation for female graduates is smaller, so the probability is higher.

2. To calculate the probability, we need to calculate the z-score and then use the z-table. The z-score formula is z = (x - μ) / (σ / sqrt(n)), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. Plugging in the given values, we find the z-score and use the z-table to find the probability.

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