A box contains 16 coloured discs which are identical except for their colour. There are 7 red discs,4 green ,3 blue and 2 yellow . In how many ways can the 16 discs be arranged in a row?

Answer:

75 cm

Step-by-step explanation:

Every inch is 2.54 cm, so 29.5 in=74.93 cm. 74.93 rounded to the nearest whole is 75cm.

Answer:

75 cm

Step-by-step explanation:

Answer:

No, right answer is = 1017.36

Answer:

1017.36

Step-by-step explanation:

All your work is correct, but the final answer is not. In the problem it says to use 3.14 as pi, but when you multiplied you did:

\(\pi * 6^{2}*9 = 1017.88\)

instead of

\(3.14*6^{2}*9 = 1017.36\)

like you had written above. So the final is actually supposed to be 1017.36

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

Answer: the value of y is 1

Step-by-step explanation: 6=2 x 1+2

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45

Step-by-step explanation:

Answer:

100 PLS BRINLEY REPORT ME IF THE ANSWER WRONG

Answer:9 3/3

or

9.33333333333333333333333333333333333

Step-by-step explanation:

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

Answer:

Step-by-step explanation:

(0, -1) (3,3)

(3 + 1)/(3 - 0) = 4/3

y + 1 = 4/3(x - 0)

y + 1 = 4/3x - 0

y = 4/3x - 1

answer is A

The missing term in the sequence 5, 11, 17, ?, 31, 41 is B. 23.

We have been given the series 5, 11, 17, ?, 31, 41. We need to find the missing number out of the given sequence.

Let us write the prime numbers upto 50.

2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47.

By looking into the above prime numbers we can make out our sequence. The series is formed by the alternate prime numbers. Thus we can complete the given sequence as,

5, 11, 17, 23, 31, 41.

Thus we got the missing number as 23 in the sequence 5, 11, 17, 23, 31, 41.

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Find the missing term in the sequence 5, 11, 17, ?, 31, 41.

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

The lower class boundary for the first class is 139.5

Given,

Data was collected for 300 fish from the North Atlantic.

To find the lower class boundary for the first class.

The length of the fish (in mm) is summarized in the GFDT below.

Lengths (mm)                                         Frequency

80 - 89                                                             1

90 - 99                                                            16

100 - 109                                                           71

110 - 119                                                            108

120 - 129                                                            83

130 - 139                                                             18

140 - 149                                                              3

Now, According to the question;

Class boundaries are the numbers that are used to differentiate the two classes or in other words we can say that the Class boundaries define the end points of the classes.

We need to find the lower class boundary of the first class. The first class is:

140 - 149

In order to find the lower class boundary, we have to subtract the " half of gap between two classes" from the lower class limit.

Gap between two classes can be calculated as "Difference of upper class limit of first class and lower class limit of next class"

So, Gap = Lower Class limit of 2nd class - Upper Class limit of 1st class

Gap = 150 - 149 = 1

Lower class boundary = Lower class limit - Half of the gap

Lower class boundary of First class = 140 - 0.5(1) = 139.5

Hence, The lower class boundary for the first class is 139.5

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Answer:

la nochebuena es el 24 de diciembre

Step-by-step explanation:

24 de diciembre (December 24)

Answer:X=(-2,3) or X= (0,0)

Answer:

Joseph's cards = 4z + 2

Step-by-step explanation:

4 times as many = 4 times z or 4z

2 more= 4z + 2

Answer:

2x4=6 6x2= 12

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

The pattern is adding 18 napkins, so Friday would be 114 napkins and Saturday would be 132

Answer:

The daily cost is $6 because that is being multiplied by the x which represents days. The 81 represents the flat fee.

Step-by-step explanation:

Answer:

a) p = 0.5

b) 11.03% probability that more than 55% of them earned more than $837 per week.

c) 99.29% probability that less than 60% of the sample of 150 employees earned more than $837 per week

d) 77.94% probability that between 45% and 55% of the sample of 150 employees earned more than $837 per week

e) 45% is within 2 standard deviations of the mean, which means it would not be unusual if less than 45% of the sample of 150 employees earned more than $755 per week

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:

\(Z = \frac{X - \mu}{\sigma}\)

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.

If X is two or more standard deviations from the mean, it is considered unusual.

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 \(s = \frac{\sigma}{\sqrt{n}}\).

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In 2016, the median weekly earnings for people employed full-time in the United States was $837.

This means that 50% of employees earn more than $837 and 50% below.

So we use \(p = 0.5\)

a) What proportion of full-time employees had weekly earnings of more than $837?

From above, p = 0.5

b) A sample of 150 full-time employees is chosen. What is the probability that more than 55% of them earned more than $837 per week?

n = 150, so \(s = \sqrt{\frac{0.5*0.5}{150}} = 0.0408\)

This is 1 subtracted by the pvalue of Z when X = 0.55. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.55 - 0.5}{0.0408}\)

\(Z = 1.225\)

\(Z = 1.225\) has a pvalue of 0.8897

1 - 0.8897 = 0.1103

11.03% probability that more than 55% of them earned more than $837 per week.

c) What is the probability that less than 60% of the sample of 150 employees earned more than $837 per week?

This is the pvalue of Z when X = 0.6.

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.6 - 0.5}{0.0408}\)

\(Z = 2.45\)

\(Z = 2.45\) has a pvalue of 0.9929

99.29% probability that less than 60% of the sample of 150 employees earned more than $837 per week.

d) What is the probability that between 45% and 55% of the sample of 150 employees earned more than $837 per week?

This is the pvalue of Z when X = 0.55 subtracted by the pvalue of Z when X = 0.45.

X = 0.55

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.55 - 0.5}{0.0408}\)

\(Z = 1.225\)

\(Z = 1.225\) has a pvalue of 0.8897

X = 0.45

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.45 - 0.5}{0.0408}\)

\(Z = -1.225\)

\(Z = -1.225\) has a pvalue of 0.1103

0.8897 - 0.1103 = 0.7794

77.94% probability that between 45% and 55% of the sample of 150 employees earned more than $837 per week.

e) Would it be unusual if less than 45% of the sample of 150 employees earned more than $755 per week?

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.45 - 0.5}{0.0408}\)

\(Z = -1.225\)

So 45% is within 2 standard deviations of the mean, which means it would not be unusual if less than 45% of the sample of 150 employees earned more than $755 per week

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

Equation 3: 4y + (y - 1) = 29 (y = 6)

Equation 1: (2y + 3) - 4 = 9 (y = 5)

Equation 2: 4y - y + 1 = 13 (y = 4)

Step-by-step explanation:

Hope you will understand

Answer:

Step-by-step explanation:

we can assume that s=k/t,k is unknown constants,0.9=k/2 >> k=1.8,so

30=1.8/t >> t=0,06

Answer:

193.2

Step-by-step explanation:

27.6x7 \(27.7\\ x 7\\--------\\ 19.39\)

Given:

Required:

To find the range of the function (uv)(x).

Explanation:

We know that

The horizontal asymptote of this function is at y=3.

So, the range of this function is from

Final Answer:

The range of (uv)(x) is

Answer: 52.35 − 1.58 = 50.77

Step-by-step explanation:

Answer:

volume = 4.5 in³

Step-by-step explanation:

V = L x W x H

V = 3 x 1.5 x 1 = 4.5

Answer:

The answer is "\(f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}\)"

Step-by-step explanation:

They have the distributional likelihood function of T: \(f_{\Gamma } \ (t)= \frac{1}{12-8}= \frac{1}{4}; 8 \leq t \leq 12\)

This is the following PDF of transformation \(R =\frac{10}{T}\)

They know that PDF is the Y=g(X) transformation

\(f_{y} (y)=f_{x} (g^{-1} (y))|\frac{dg^{-1} (y)}{dy}\)

Using theformula, the PDF of  \(R =\frac{10}{T}\) is

\(f_{R} (\Gamma)=f_{(\Gamma)} |\frac{d(\frac{10}{r})}{dr}| \\\\f_{R}(r) =\frac{1}{4}| -\frac{20}{r^2}|\\\\f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}\\\\\)  

Answer: B and C

Step-by-step explanation: