blackhawk tech gives four presidential scholarships. if there are 58 nominees, in how many ways can the scholarships be awarded?

Answer: 7 3/4

Explanation:

Keep in mind that 2 1/4 = 2 + 1/4

10 - 2 = 8

8 - 1/4 = 7 3/4

Therefore your answer is 7 3/4

Answer:

7 3/4

Step-by-step explanation:

Take 1 away from 10 and write 10 as 9 + 1.

1 = 4/4, so 10 = 9 + 4/4 or simply 9 4/4.

Now subtract 2 1/4 from 9 4/4.

    9 4/4 - 2 1/4

    9 4/4

-    2 1/4

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

    7 3/4

Compound interest accrued at a rate of 4.75% per year, compounded once annually, on a principal of $19.80 over a period of six years, resulting in a total of $26.16 in accrued principal and interest.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

Here,

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 19.80(1 + 0.0475/1)(1)(6)

A = 19.80(1 + 0.0475)(6)

A = $26.16

Over the course of six years, compound interest accrued on a $19.80 principal at a rate of 4.75% per year, compounded once annually, for a total of $26.16 in accrued principal and interest.

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The sum of four prime numbers is 190

The correct answer is an option (e)

In this question, we have been given the digits 1, 2, 3, 4, 5, 6, 7, and 9 are used to form four two-digit prime numbers, with each digit used exactly once.

We need to find the sum of these four primes.

For a 2 digit number to be prime, the units digit cannot be even or 5 as it would be divisible by either 2 or 5.

So unit digits are 1, 3, 7, 9

and the tens digits are :2, 4, 5, and 6.

the prime numbers in the 20s : 23, 29.

the prime numbers in the 40s: 41, 43, 47

the prime numbers in the 50s: 53, 59

the prime numbers in the 60s: 61, 67

There are many ways the set of 4 primes can be created

The sum would be,

(2 +4 +5 +6)×10 +(1 +3 +7 +9)

= 170 +20

= 190

Hence, the sum is 190

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The confidence interval for the one-way analysis of variance experiment be, (136.27 , 163.73).

On Subtracting 1 from your sample size, we get

1000 – 1 = 999.

On Subtracting confidence level from 1, and then divide by two.

(1 – .99) / 2 = 0.005

Now, df = 999 and α = 0.005

from the table at df = 999 we got 3.274.

Divide your sample standard deviation by the square root of your sample size.

150 / √(1000) = 4.74

Now, 3.274 × 4.74 = 13.73

So, the confidence interval be,

(150 - 13.73 , 150 + 13.73) = (136.27 , 163.73)

Hence, the confidence interval for the one-way analysis of variance experiment be, (136.27 , 163.73).

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It is true that in a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another.

ANOVA, which represents the analysis of variance, is a statistical test used to examine the distinction between the means of more than two groups.

One independent variable is used in a one-way ANOVA, while two independent variables are used in a two-way ANOVA.

In a one-way ANOVA scenario, the overall F value must be statistically significant for more than two of the means to be significantly different.

thus we can say that the given statement is true.

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Answer:

Step-by-step explanation:

9

Assuming the sample mean and standard deviation are indicative of the class as a whole, the range your class might rank you is from 3 to 9.

What is the sample mean?

The term "Sample Mean" describes the average value of a sample of data taken from a sizable population of data. If the sample size is large and the statistical researchers select random population fragments, it is an effective tool for determining the population mean.

When the sample is large and representative, the estimate of the population mean, which is the average value across the entire population, is more likely to be close to the population mean.

Solution Explained:

So, we know sample mean = 3 and standard deviation = 6

And according to the empirical rule, 68% of the data is within the first standard deviation.

So,

6 - 3 = 3

6 + 3 = 9

Therefore the range of rank for you is from 3 to 9.

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Answer: y=-22

Step-by-step explanation:

In interval estimation, as the sample size becomes larger the interval estimate becomes narrower.

What is interval estimation?

In statistics, interval estimation is that the use of sample information to estimate associate interval of plausible values of a parameter of interest. this can be in distinction to purpose estimation, which provides one price.

Main body:

A larger sample size or lower variability can end in a tighter confidence interval with a smaller margin of error. A smaller sample size or the next variability can end in a wider confidence interval with a bigger margin of error.

Hence, as the sample size becomes larger the interval estimate becomes narrower.

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Answer:

[tex]49x^{6}[/tex][tex]y^{8}[/tex]

Step-by-step explanation:

1. Factor 2401 into its prime factors

          2401 = 74

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          2401 = 74

No factors remain inside the root!!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          49 = 72

At the end of this step the partly simplified SQRT looks like this:

        49√(x^12y^16)

2. Rules for simplifying variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) √(x8)=x4

    (3.2) √(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) √(x5)=x2•√(x)

    (4.2) √(x-7)=x-3•√(x-1)

Applying these rules to our case we find out that

     SQRT(x12y16) = x6y8

Combine both simplifications:

 sqrt (2401x12y16) =

       49x6y8

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Answer: 6 ÷ 1/4 = 24

We can use the Skip, Flip, Multiply method to solve.

Since our first fraction is 6/1, we can leave it alone.

Our next fraction is 1/4, and we flip the numerator and denominator to become 4/1.

Finally, we can multiply our two new fractions.

6/1 × 4/1 = 24/1, which reduces to 24.

A country will roughly double its gdp in twelve years if its annual growth rate is 5.8  using the rule of 70.

The rule of 70 is used to determine the time it takes a country to double it growth rate.

To double in 12 years =70/12 = 5.8

Therefore, A country will roughly double its gdp in twenty years if its annual growth rate is 5.8  using the rule of 70.

A measure of the rise in the value of an investment or revenue stream over the course of a year is the annual growth rate, often known as the "simple growth rate" or "average annual growth rate (AAGR)".

The formula for calculating annual growth rate divides the total value of annual growth at the beginning of the year by the total value of that growth at the end of the year.

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Answer:

Step-by-step explanation:

2(3y-8)=8

First we distribute the numbers inside the brackets, 2x3y , 2x8=

6y-16=8, then, we put the 16 on the other side which turns it positive,

6y=8+16

6y=24

y=4

Sorry for the bad explanation.

The numbers are 8 and 40, according to the given question.

What do you mean by number?

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. Number words are a linguistic way to express numbers.

According to data in the question,

We have given information:

Sum of the numbers are 36.

The numbers are "x" and "5x";

Now, we can suggest this equation:

x+5x=48

6x=48

x=48/6

x=8

The numbers are:

x=8

5x=5(8)=40.

Therefore, the numbers are 8 and 40.

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The statistical method known as analysis of variance (ANOVA) is used to examine how different means differ from one another.

When you only run an omnibus/overall anova without any post-hoc tests, you will be unable to determine which of the groups are statistically different from each other. This is because an omnibus/overall anova simply tells you whether there is a significant difference between any of the groups, but does not tell you which groups are different. Follow up tests are needed to determine which of the groups are statistically different from each other.

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The coefficient of multiple determination is describe as it ranges from

0 to 1.

As given in the question,

Explanation about coefficient of multiple determination is as follow:

Therefore, the coefficient of multiple determination is ranges from 0 to 1.

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Answer:

3/x

Step-by-step explanation:

Flip them

According to the Endangered Species Act, selling an endangered plant is prohibited. Likewise, exploiting the habitat of an endangered animal is also a punishable act.

The Endangered Species Act is a law created for the conservation of threatened and endangered plants and animals and the habitats in which they are found. The law prohibits any act of taking and selling of any endangered Species.

Endangered Species Act will be repealed or thousands of animal species will become extinct. Clear-cutting continues in primary forests. The Endangered Species Act will not be repealed. Therefore, thousands of animal species will become extinct. (C, E, T)

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At a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

What is the null hypothesis in statistics?

The null hypothesis in inferential statistics states that two possibilities are the same. The null hypothesis states that the observed difference is solely due to chance. The likelihood that the null hypothesis is true can be calculated using statistical tests.

Sample size, n =1500

The sample proportion of the chips that do not fail in the first 1000 hrs of their use, [tex]\hat{p} = 0.69[/tex]

Null Hypothesis, H0: p=0.72

Alternate Hypothesis, [tex]Ha: p \neq 0.72[/tex]

Test statistic,

[tex]z= \frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} - \frac{0.69-0.72}{\sqrt{\frac{0.72(1-0.72)}{1500}}} = -2.5877[/tex]

Critical Value,

[tex]Z_{0.05/2} =[/tex]±1.96

Now, since the absolute value of the test statistic i.e, 2.5877 is greater than the absolute value of the critical value i.e, .1.96, thus we will reject the null hypothesis.

Thus at a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

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A randomly chosen Endure All battery has a 10.56% chance of surviving more than 550 hours based on the z-score.

A Z-score quantifies how closely a value relates to the mean of a set of values.

Using standard deviations from the mean, the Z-score is computed.

When a data point's Z-score equals 0, it means that the total value of the data point is equal to the mean value.

So, the Z score is used to calculate how much the raw score deviates from the mean.

The Z score is calculated using the following steps:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

According to the normal distribution graph:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, a randomly chosen Endure All battery has a 10.56% chance of surviving more than 550 hours based on the z-score.

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Answer: 36 ft

Step-by-step explanation:

Inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Both mathematical phrases, equations, and inequalities are created by connecting two expressions.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.

So, the sentence we have is:

the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6

Which can be written in inequality as:

-3.2 + 1.5n ≤ 8.6

Therefore, inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."

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Correct question:
Which inequality represents the sentence?

the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.

a. -3.2n + 1.5 less-than-or-equal-to 8.6

b. -3.2n -  1.5 greater-than-or-equal-to 8.6

c. -3.2 +  1.5n less-than-or-equal-to 8.6

d. -3.2 -  1.5n less-than-or-equal-to 8.6

Answer:

-2

Step-by-step explanation:

You do "rise" over "run" (in this case, the rise is actually down)

so -2 "rise"

1 "run"

How much time did you spend in line, question 1? is a direct response to the second question, "Do you like hot or cold?" is a vague query.

An inquiry that lacks focus on a particular subject area and is wide, ambiguous, unclear, and nebulous in nature. You won't be able to adequately analyze the data acquired at the end of the day if your survey has ambiguous questions.

You should use specific language in your survey questions, so make sure to do so. Additionally, make sure to refrain from using technical jargon and terminology that few people can normally grasp in your surveys.

Questions that are excessively general or insufficiently specified are ambiguous or vague. Generic responses that aren't pertinent to your research are frequently the outcome. Make sure your survey questions are written simply and in a way that respondents will find them simple to understand in an effort to avoid vague survey questions.

Typical Vague Questions

Do you believe our clients would advocate for us?

Are we superior to other ed-tech businesses?

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Brace's taxable income is $50,000.

It is given to us that -

Brace Inc. owns 90% of West common stock

Brace generated $50,000 operating income

and, Brace received $10,000 dividends from West

We have to find out Brace's taxable income.

Taxable income can be defined as the income (income amount) of an individual or business that federal or state government agencies use as the basis for determining the taxes owed on them.

The correct formula representing taxable income can be stated as -

A. Taxable income = Total income - Exclusions - Adjustments to income - Deductions - Exemptions.

B. Taxable income = Gross income - Adjustments to income - Deductions - Exemptions.

C. Taxable income = Adjusted gross income - (Deductions + Exemptions).

Since, it is mentioned that Brace Inc. owns 90% of West common stock, it can be determined that the stock share is more than 80%.

This implies that there will be 100% deduction in the value of taxable income since the stock share is more than 80%.

Thus, Brace's taxable income is $50,000.

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]]The explanator variable is amount of homework given and the response variable is student's test score.

Variable:

In math variable is an alphabet which is used to represent the unknown number.

Given,

A  teacher wants to determine if the amount of homework given to her students can be used to predict the students' test scores

Here we need to identify the explanatory variable and the response variable

While we looking in to the given situation, the we have identified that the two variables are used here is,

=> homework given.

=> Test score

While analyzing the variable we have identified that the explanatory variable defines the situation so it is homework given and the response variable defines the result of the scenario that is the students score.

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The Price after reduced 2 times is $127.568

Here the explanation :

For the first reduce : multiply the regular price by 10%

188.99 x 10% =

188.99 X (10/100) = 18.899

then subtraction of this number from the regular price

188.99 - 18.899 = 170.091

The second reduce : multiply the first reduce price by 25%

170.091 X 25% =

170.091 X (25/100) = 42.523

then subtraction of this number from the first reduce price

170.091 - 42.523 = 127.568

So the latest price is $127.568

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