i need the missing blanks

Answer: 7

Step-by-step explanation: 2.9x - 12.3 = 8

2.9x= 8+12.3

2.9x=20.3

x=20.3/2.9

x=7

Given that, Monthly rate = 1. 25%The given table represents the details of the payments, purchases, and balances from 1st September to 30th September. The below table represents the details of the number of days, daily balance, and product of daily balance and number of days from 1st September to 30th September .

Date Payments Purchases Balance Number of Days Product/Sum9/1 - 9/5$387. 525$1,937. 60260.88(5*387.52)9/6$50. 00$337. 5212.67(6*56.25)9/7 - 9/18 $ - $ -12$ -9/19$62. 26$399. 780.5$199.89(12.50*15.99)9/20 - 9/30$ - $ -11$ -Total3017.18 Average daily balance= $17.18/30= $0.573 Finance charge= monthly rate × average daily balance= 1.25% × $0.573= $0.0072New balance= previous balance - payment/credits + finance charge + new purchases= $399.78 - $50 + $0.0072 + $0= $349.7872Therefore, the average daily balance is $0.573, finance charge is $0.0072, and the new balance is $349.7872.

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There are 56 different ways to choose 5 books from this collection.

In this case, we have 8 subjects from which we need to choose 5 books. Since there are at least 5 copies of each book, we can assume that we have enough copies of each subject to choose from. The formula for combinations is nCr = n! / (r!(n-r)!), where n represents the total number of subjects and r represents the number of books to be chosen.  

In our case, n = 8 and r = 5.

Plugging these values into the formula, we get 8! / (5!(8-5)!) = 8! / (5!3!).

Simplifying further, we get (8 * 7 * 6) / (3 * 2 * 1) = 56.

Therefore, there are 56 different ways to choose 5 books from this collection.

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The inequality that models the question we have here is j > 300

The inequality that models the story is j > 300. This inequality represents the fact that Nancy needs to guess a number greater than 300 in order to win the game.

To graph this inequality, we would start by plotting the point (300,0) on the coordinate plane. Then, we would draw a line extending to the right of that point and add an arrow on the end to indicate that the solution includes all numbers greater than 300.

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Answer:

The square root is not an example when a number is not part of the following number meaning that the correct indirection of the longitude is the correctness of the featured position on the term to term sequence

Answer:

55 for the top left and 35 for the top right

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

7x+6  + 6x -7 + 90 = 180

Combine like terms

13x+89 = 90

Subtract 89 from each side

13x+89-89 = 180-89

13x = 91

Divide by 13

13x/13 = 91/13

x =7

The top  left angle is

7x+6

7*7+6 = 49+6 = 55

The top right  angle is

6x-7

6*7-7 = 42-7 = 35

Answer:

A. choosing a sock from a drawer, putting it on, then picking another sock from the drawer

The simplified results of the following fractions are;a. 2/7 + 3/7 = 5/7b. 1/3 + 1/6 = 1/2c. 4/3 + 2/7 = 34/21

Given are the following fractions;

a. 2/7 + 3/7

b. 1/3 + 1/6

c. 4/3 + 2/7

To add these fractions, we need to find the LCD of the denominators. In this case, the LCD is 7. Therefore,2/7 + 3/7 = 5/7b. 1/3 + 1/6. To add these fractions, we need to find the LCD of the denominators. In this case, the LCD is 6.

Therefore, 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2c. 4/3 + 2/7

To add these fractions, we need to find the LCD of the denominators. In this case, the LCD is 21. Therefore, 4/3 + 2/7 = 28/21 + 6/21 = 34/21.

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Answer

System of equation = m + n = -15, m - n = 7

The two numbers = -4, -11

Explanation

Let variables m and n represent the two numbers.

The sum of variables m and n is negative fifteen, This implies;

One number is seven less than the other implies;

Hence, the system of equations that describe the situation is

To find the two numbers, use the elimination method.

To get n, substitute m = -4 into (i)

Therefore, the two numbers = -4, -11

The function is an exponential growth since it is increasing with time and k is positive

Given that at t =6, P = 167075

Then;

167075 =110.8e^6k

167075/110.8 = e^6k

1507.9 = e^6k

ln(1507.9) = 6k

k = ln(1507.9)/6

k = 1.2

Thus in the year 2020;

P = 110.8e^20(1.2)

P = 2.9 * 10^12

In the year 2025;

P = 110.8e^25(1.2)

P = 1.18 * 10^15

To reach 290,000

290,000 = 110.8e^1.2t

290000/110.8 = e^1.2t

2617.3 = e^1.2t

t = ln(2617.3 )/1.2

t = 7 years

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Elements in set A is 7.

Consider the following example: If set A includes the elements, A = a, b, then the correct subset of the provided subset is, a, and b. The set has two components in this case. The formula for calculating the number of appropriate subsets is 2n – 1.

RECALL: The number of proper subsets of a set with nn elements is 2^n-12

N

−1.

Let n = number of elements of the set.$

Then,Then, 2^n-1 = 127

2^n = 127+1

2^n=128

2^n = 2^7

N=7

$The set has 7 elements.

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According to the given information in the question the element in set A is  7.

Consider the following example: If set A includes the elements, A = a, b, then the correct subset of the provided subset is, a, and b. The set has two components in this case. The formula for calculating the number of appropriate subsets is 2n – 1.

RECALL: The number of proper subsets of a set with nn elements is 2^n-12

N

−1.

Let n = number of elements of the set.$

Then, Then, 2^n-1 = 127

2^n = 127+1

2^n=128

2^n = 2^7

N=7

$The set has 7 elements.

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Answer:

a. 44 cm b. 126 cm

Step-by-step explanation:

a. it is semi circle

perimeter is πd

22/7*14

44 cm

b. it is equilateral triangle

so perimeter is side* 3

42 *3 = 126cm

Answer:

Step-by-step explanation:

(a)

The figure perimeter it is half of a circle with a diameter d₁=14 cm and two halfs of circle with a diameter d₂=14 cm÷2=7 cm.

The length of a circle is  L₀ = πd, where d is the diameter.

Therefore:

\(\bold{L=\frac12d_1+2\cdot\frac12d_2 = \frac12\cdot14\pi+\frac12\cdot2\cdot7\pi=14\pi\,cm\approx44\,cm}\)

(b)

A full circle it is 360°, so the circle sector of 60° is  \(\frac{60^o}{360^o}=\frac16\)  of the circle. So the arc of 60° is ¹/₆ of the full circle length.

The figure is an equilateral triangle and two 60°-sectors of circles with radiuses of length of the triangle's side (r=42 cm).

Its perimetr it's two radiuses, two arcs of 60° and one side of the triangle.

The length of a circle is  L₀ = 2πr, where r is a radius.

Therefore:

\(\bold{L=2r+2\cdot\frac16\cdot 2\pi r+r=3r+\frac23\pi r}\\\\\bold{L=3\cdot42+\frac23\pi\cdot42=(126+28\pi)\,cm\approx214\,cm}\)

Answer:

3r + 4t = 80

Step-by-step explanation:

Roses cost $3 each, tulips cost $4 each

The overall rating for the iPhone 4 is 6.2, the Samsung is 8.2, and the Motorola is 7.8. Based on the ratings, the Samsung is the best phone since it has the highest overall rating.

To calculate the overall rating for each phone, Sara first determined the weights of each category. Battery life was given a weight of 50%, cost was given a weight of 30%, and camera was given a weight of 20%. She then used the ratings for each phone to calculate the weighted average of the ratings. The weighted average of the iPhone 4 was 6.2, the Samsung was 8.2, and the Motorola was 7.8.

To calculate the weighted average, Sara first multiplied the ratings of each phone in each category by the weight associated with that category. For the iPhone 4, this meant that 8*0.5 was multiplied by 4*0.3 and 4*0.2 for the cost and camera categories respectively. The sum of these values was 6.2.

Similarly, for the Samsung, 10*0.5 was multiplied by 8*0.3 and 8*0.2 for the cost and camera categories respectively to get 8.2. Lastly, for the Motorola, 9*0.5 was multiplied by 5*0.3 and 8*0.2 to get 7.8. Thus, based on the ratings, the Samsung is the best phone since it has the highest overall rating.

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The correct answer is D. No, the result from part (a) could not be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants.

b. No, the result from part (a) could not be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants.

This is because a count of people must result in a whole number, and in this case, the number of survey subjects is 163, which is a whole number. The result from part (a), which is 115.73, is not a whole number and therefore cannot represent the actual count of survey subjects. It is likely that the percentage was calculated based on a rounded value of the actual count.

In part (a), the question asks for the exact value that is 71% of 163 survey subjects. To find this value, we multiply 163 by 0.71, which gives us 115.73. However, since the count of survey subjects must be a whole number, 115.73 cannot represent the actual number of individuals who said that their companies conduct criminal background checks on all job applicants.

It is important to note that in survey research, percentages are often calculated based on rounded numbers or estimated values. The result is then presented as a whole number or a percentage for ease of understanding and interpretation. In this case, the percentage of 71% was likely rounded from a more precise calculation, and the result of 115.73 is the exact value obtained from that calculation. However, when dealing with counts of people, it is necessary to have whole numbers, as you cannot have a fraction of a person.

#In a study conducted by a human resource management organization, 163 human resource professionals were surveyed. Of those surveyed, 71% said that their companies conduct criminal background checks on all job applicants.  a. What is the exact value that is 71% of 163 survey subjects? The exact value is 115.73. (Type an integer or a decimal. Do not round.) b. Could the result from part (a) be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants? Why or why not? A. Yes, the result from part (a) could be the actual number of survey subjects who said this because the result is statistically significant. B. Yes, the result from part (a) could be the actual number of survey subjects who said this because the polling numbers are accurate. C. No, the result from part (a) could not be the actual number of survey subjects who said this because that is a very rare outcome. D. No, the result from part (a) could not be the actual number of survey subjects who said this because a count of people must result in a whole number.

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The conclusions are as follows:

a. We reject the null hypothesis.

b. The p-value for this test is approximately 0.001.

To complete parts a and b, we can follow the steps for hypothesis testing.

a. The z-test statistic can be calculated using the formula:

z = (\(\bar{X}\) - μ) / (σ / √n)

Given:

\(\bar{X}\) = 49

σ = 11

n = 32

Substituting these values into the formula, we get:

z = (49 - 47) / (11 / √32) ≈ 2.90

The z-test statistic is approximately 2.90 (rounded to two decimal places).

To determine the critical z-score(s), we need to find the z-value that corresponds to the significance level α = 0.10. Since the alternative hypothesis is one-sided (μ > 47), we are performing a right-tailed test.

Using a standard normal distribution table or a calculator, the critical z-score for a right-tailed test at α = 0.10 is approximately 1.28 (rounded to two decimal places).

Because the test statistic z = 2.90 is greater than the critical z-score of 1.28, we reject the null hypothesis.

b. The p-value represents the probability of obtaining a test statistic as extreme as the observed value (or more extreme) assuming the null hypothesis is true. Since the alternative hypothesis is μ > 47, we are looking for the probability in the right tail of the distribution.

Using a standard normal distribution table or a calculator, we can find the p-value corresponding to the z-test statistic z = 2.90. The p-value is the area under the curve to the right of 2.90.

The p-value is approximately 0.001 (rounded to three decimal places).

Therefore, the conclusions are as follows:

a. We reject the null hypothesis.

b. The p-value for this test is approximately 0.001.

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C: Parametric tests are more likely to get significant results compared to nonparametric tests.

Parametric tests are statistical tests that assume certain characteristics about the data, such as normal distribution and homogeneity of variance.

Parametric tests are statistical tests that make certain assumptions about the data, such as the normal distribution of the population. These tests have more statistical power and are more likely to find significant results if these assumptions hold.

Nonparametric tests, on the other hand, do not make any assumptions about the data's distribution and are useful for non-normally distributed data. They have less statistical power and are less likely to find significant results.

However, if the assumptions of parametric tests are not met, they may lead to incorrect conclusions.

Therefore, it is important to choose the appropriate test based on the data and research question.

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Product of multiplication of (2+√-25) and (4-√-100) is 58.

Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1).

For example, 6+7i is a complex number, where 6 is a real number and 7i is an imaginary number.

Given complex numbers

(2+√-25) and (4 -√-100)

√-25 = √(5² . -1) = 5√-1

i = √-1

√-25  = 5i

√-100 = √(10² . -1)

√-100 = 10i

Multiplying both numbers

(2+√-25) . (4 -√-100)

then

= (2 + 5i) . (4 - 10i)

Using FOIL method

(a + b)(c + d) = ac + ad + bc + bd

= 8 - 20i + 20i - 50i²

= 8 - 50i²

i² = -1

= 8 + 50

= 58

Hence, 58 is the product of multiplication of (2+√-25)(4-√-100)

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The given scenario involves rolling a fair standard 6-sided dice 10 times. We need to calculate the probabilities of two events: A, which denotes the event that the sum of all the rolls is at least 59, and B∪C, which denotes the event of getting exactly four 2's or exactly six 3's.

The probability of event A, P(A), can be calculated using combinatorial techniques and the concept of the probability mass function. Since there are 10 rolls and each roll has 6 possible outcomes (numbers 1 to 6), the total number of possible outcomes is 6^10. To find the favorable outcomes for event A, we need to consider the combinations of numbers on the dice that sum up to at least 59. By evaluating these combinations, we can determine the probability of event A occurring.

To calculate the probability of event B∪C, P(B∪C), we need to find the probability of either getting exactly four 2's or exactly six 3's. This can be done by evaluating the favorable outcomes for each event separately and then adding those probabilities together. The probabilities of getting exactly four 2's and exactly six 3's can be calculated using combinatorial techniques and the probability mass function.

In conclusion, to determine the probabilities of events A and B∪C, we need to consider the combinations of dice rolls and their sums, as well as the number of favorable outcomes for each event. The probabilities can be calculated using combinatorial techniques and the concept of the probability mass function.

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Answer:

a=65 b=80 ..............

Answer:

0

Step-by-step explanation:

Assuming there is no typo in your question, the slope is 0 because the function is a horizontal line.

Answer:

You can solve it with either substitution method or elimination method.

but elimination method is easier than substitution method, so i am going to use elimination method

lets call 2x+3y=7 as equation 1 and ,

             -2x+5y=1 as equation 2

2x+3y=7 ⇒1

-2x+5y=1  ⇒2

cut 2x and -2x

2x+3y=7

-2x+5y=1

----------------

0+8y=8

y=8/8

y=1

substitute y=1 in equation 1

2x+3(1) =7

2x+3=7

2x=7-3

2x=4

x=4/2

x=2

therefore, x=2 and y=1

hope u understood:)

ANSWER :

The answers are :

a. 3.03

b. -9.09

c. 55.775 lbs

EXPLANATION :

The z-score formula is :

From the problem, we have :

a. z-score when x = 60 lbs.

That will be :

b. z-score when x = 30 lbs below the mean, the mean weight is 50 lbs, so it will be x = 50 - 30 = 20

The z-score will be :

c. weight when it is 1.75 standard deviations above the mean weight.

Above the mean weight denotes that the z-score is positive.

Substitute z = 1.75 and solve for x :

Among all unbiased estimators which are weighted averages of Y₁, ..., Yₙ, the sample mean as an estimator of population mean is an estimator with lower sampling variances.

The sample mean is known to be an unbiased estimator of the population mean.

Which means that on average, it provides an estimate that is equal to the true population mean.

However, when considering estimators that are weighted averages of the observations.

The sample mean tends to have lower sampling variances compared to other unbiased estimators.

Lower sampling variance is desirable because it indicates less variability in the estimates obtained from different samples.

A lower sampling variance implies that the sample mean is likely to be closer to the population mean, providing a more precise estimate.

Therefore, among unbiased estimators that are weighted averages, sample mean stands out as having a lower sampling variance.

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Answer:

m = \(\frac{19}{4}\)

Step-by-step explanation:

Given

4(m + 7) = 47 ← distribute parenthesis on left side

4m + 28 = 47 ( subtract 28 from both sides )

4m = 19 ( divide both sides by 4 )

m = \(\frac{19}{4}\) [ or m = 4.75 ]

Answer:

common multiples

Step-by-step explanation:

The probability of having exactly 3 boys and 3 girls with 6 children is 0.25, according to the binomial probability formula. It is not guaranteed, but there is a reasonable chance of achieving the desired outcome.

To determine the probability of having exactly 3 boys and 3 girls with 6 children, we can use the binomial probability formula

P(X = k) = (n choose k) * \(p^k * (1-p)^{n-k}\)

Where

P(X = k) is the probability of getting exactly k successes (in this case, having exactly 3 boys)

n is the total number of trials (in this case, the number of children)

k is the number of successes (in this case, the desired number of boys)

p is the probability of success in a single trial (in this case, the probability of having a boy, which is 0.5)

Calculating the probability

P(X = 3) = (6 choose 3) * (0.5)³ * (1-0.5)⁶⁻³

P(X = 3) = (6! / (3! * (6-3)!)) * (0.5)³ * (0.5)³

P(X = 3) = (6! / (3! * 3!)) * (0.5)³ * (0.5)³

P(X = 3) = (6 * 5 * 4 / (3 * 2 * 1)) * (0.5)³ * (0.5)³

P(X = 3) = (20) * (0.125) * (0.125)

P(X = 3) = 0.25

So, the probability of having exactly 3 boys and 3 girls with 6 children is 0.25.

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Answer:

275.5

Step-by-step explanation:

In order to convert.

It is fairly simple, follow my directions and next time when you have a question similar to this you’ll know what to do!

1 kg = 2.2 lb. It is as simple as that!

So your question,

“ Convert 125 kilograms to pounds “

125x2.2 = 275 .

Our answer is very close to the verified one, so now you know how to convert kilograms to pounds!.

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56.69904625 kg in 125 lbs. Likewise the question how many pound in 125 kilogram has the answer of 275.577827731 lbs in 125 kg.

125 kg*2.2046226218 lbs/1kg = 275.577827731 lbs

The weight of 125 kilograms is equivalent to 275.577827731 pounds (125kg = 275.577827731lbs). It is simple to convert 125 kg to lb. Simply use our calculator above or the method to convert 125 kg to pounds. To convert 125 kg to pounds, multiply the kilogram mass by 2.2046226218. The formula for converting 125 kilograms to pounds is [lb] = 125 * 2.2046226218. Thus, 125 kilos is 275.577827731 pounds.

One pound is about equivalent to 0.45359237 kilos (kg). The pound to kilogram conversion is accomplished by multiplying the provided pound value by 0.45359237. In addition, one kilogram is about equal to 2.2046226218 pounds.

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