Suppose we want to choose 3 letters, without replacement. from the 5 letters A, B, C, D, and E. How many ways can this be done, if the order of choices does not matter? Answer: [a]

Answer:

x=1

Step-by-step explanation:

4.3x + 0.7 = 5

Subtract .7 from each side.

4.3x + 0.7.-.7 = 5-.7

4.3x = 4.3

Divide each side by 4.3

4.3x /4.3 = 4.3/4.3

x =1

Answer:

2/5 yards of fabric

Step-by-step explanation:

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow?

5 identical pillows = 2 yards of fabric

1 pillow = x yards

Cross Multiply

x yards × 5 pillows = 2 yards × 1 pillow

x yards = 2 yards × 1 pillow/5 pillows

x yards = 2/5 yards of fabric

Therefore, 2/5 yards of fabric was used for 1 pillow

Using long division, the other factor of the expression a^2 + 7a + 10 when binomial (a + 5) is a factor is found to be (a + 2). Therefore, the correct option is A).

We can use long division to find the other factor. The division is done as follows:

      a + 2

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

a + 5 | a^2 + 7a + 10

      a^2 + 5a

      --------

             2a + 10

             2a + 10

             -------

                       0

Since there is no remainder, we can see that binomial (a + 5) is a factor of a^2 + 7a + 10 and the other factor is a + 2.

Therefore, the correct answer is (a + 2) and option is A).

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Answer:

a= 38.85

Step-by-step explanation:

Answer:

\(\boxed {a = 38.85}\)

Step-by-step explanation:

Solve for the value of \(a\):

\(\frac{a}{3.5} - 4.8 = 6.3\)

-Add both sides by \(4.8\):

\(\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8\)

\(\frac{a}{3.5} = 11.1\)

-Multiply both sides by \(3.5\):

\(a = 11.1 \times 3.5\)

\(\boxed {a = 38.85}\)

Therefore, the value of \(a\) is \(38.85\).

Answer:

whole number is the answer

The driver's percent value-added time is approximately 18.57%.

The percent value-added time, we need to consider the total time spent in non-value-added activities (waiting in line, eyes tested, and photograph taken) compared to the total time spent, including value-added activities.

Total time spent = Time in line + Time for eyes test + Time for photograph = 57 minutes + 9 minutes + 4 minutes = 70 minutes

Value-added time = Time for eyes test + Time for photograph = 9 minutes + 4 minutes = 13 minutes

Percent value-added time = (Value-added time / Total time spent) * 100

= (13 minutes / 70 minutes) * 100

≈ 18.57%

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The area of an equilateral triangle with a 6-inch apothem is 187.06 square inches

To find the area (A) of an equilateral triangle with a 6-inch apothem, you can use the following formula:

A = (Perimeter × Apothem) / 2

First, find the side length (s) of the equilateral triangle using the Pythagorean theorem. Note that the apothem and the line to the vertex makes 30-60-90 triangles.

In a 30-60-90 triangle, the ratio of the side lengths is 1:√3:2, so:

Side length (s) / 2 = √3 * Apothem * 2 = √3 * 6 * 2 = 12√3 inches

Now calculate the perimeter of the equilateral triangle:

Perimeter = 3 * s = 3 * 12√3 = 36√3 inches

Finally, find the area using the formula:

A = (Perimeter × Apothem) / 2
A = (36√3 × 6) / 2
A = 187.06 square inches

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The null hypothesis in a chi-square test for goodness of fit involves frequencies for the entire population, not just proportions or frequencies for the sample. c.

In a chi-square test for goodness of fit, the null hypothesis specifies the expected frequencies or counts for different categories in the entire population being studied.

The test compares the observed frequencies in the sample to the expected frequencies under the null hypothesis to determine if there is a significant difference between the observed and expected distributions.

The chi-square test for goodness of fit assesses whether the observed frequencies in the sample deviate significantly from the expected frequencies specified by the null hypothesis for the entire population. The test evaluates if the observed data supports or contradicts the null hypothesis, which assumes that the observed frequencies follow a specific distribution or proportions.

The null hypothesis in a chi-square test for goodness of fit defines the predicted frequencies or counts for various categories in the total population under investigation.

The test determines if there is a significant discrepancy between the observed and predicted distributions by comparing the observed frequencies in the sample to the anticipated frequencies under the null hypothesis.

The chi-square test for goodness of fit determines if the sample's observed frequencies differ noticeably from the null hypotheses' predicted frequencies for the overall population.

The null hypothesis, which holds that the observed frequencies follow a particular distribution or proportions, is assumed in the test, and it is determined if the observed data supports or refutes it.

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Answer:

your answer is 1/343 in decimal form it is 0.00291545

Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

At the 5% level of significance, there is not enough evidence to suggest that the true mean weight of the packages is smaller than the specification of 18 ounces.

To determine whether the true mean weight of a package of rolled oats is smaller than the specification of 18 ounces, we can perform a one-sample t-test.

Hypotheses:

- Null Hypothesis (H0): The true mean weight of the packages is equal to or greater than 18 ounces.

- Alternative Hypothesis (H1): The true mean weight of the packages is smaller than 18 ounces.

The decision rule for hypothesis testing at a 5% level of significance is to reject the null hypothesis if the test statistic falls in the critical region, which is determined by the critical value.

In this case, since we are testing if the true mean is smaller, it is a one-tailed test with a significance level of 0.05.

The test statistic can be calculated as:

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

Plugging in the values:

sample mean = 17.78 ounces

hypothesized mean = 18 ounces

standard deviation = 0.41 ounce

sample size = 18

t = (17.78 - 18) / (0.41 / sqrt(18))

Calculating this value, we find t ≈ -1.222

Next, we need to find the critical value corresponding to a 5% significance level and (n-1) degrees of freedom, where n is the sample size (18 - 1 = 17).

Using a t-table or a t-distribution calculator, the critical value is approximately -1.746.

Since the calculated test statistic (-1.222) does not fall in the critical region (less than -1.746), we fail to reject the null hypothesis.

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Answer:

4 miles

Step-by-step explanation:

just toke a test

Answer: Option C/ 4 miles is the correct answer.

Hey there!

\(Answer:\boxed{\text{4 rows and 3 columns}}\)

\(Explanation:\)

A matrix has 4 rows and 3 columns. 4 rows means it has 4 system of equations and 3 columns means 3 variables in the system of equations. 3 columns means like x, y, z.

Hope this helps!

Answer:

3

Step-by-step explanation: e3

According to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

The natural logarithm, often denoted as ln(x), is a mathematical function that represents the logarithm to the base e, where e is the mathematical constant approximately equal to 2.71828.

To find out how long it will take for 300 grams of Mercury 203 to decay, we can use the exponential decay model.

The general formula for exponential decay is given by:

A(t) = A₀ * e^(-rt),

where A(t) represents the amount of the substance at time t, A₀ is the initial amount, r is the decay rate, and e is the base of the natural logarithm.

In this case, we have the initial amount A₀ = 300 grams and the decay rate r = 0.01481 (1.481% written as a decimal).

We want to find the time t when the amount A(t) is equal to zero. Substituting these values into the formula, we have:

0 = 300 * e^(-0.01481t).

To solve for t, we can divide both sides of the equation by 300 and take the natural logarithm of both sides:

ln(0) = ln(e^(-0.01481t)),

0 = -0.01481t.

To isolate t, we divide both sides by -0.01481:

0 / -0.01481 = t,

t = 0.

Therefore, according to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

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Answer:

a)=4x

b)= use common factor

=72y−32

=8(9y-4)

Answer:

$750 per year

Step-by-step explanation:

The farmer saves $250 in four months.  You need to find out how much he makes in a year.  There are 12 months in a year.  Multiply the amount he saves by 3.

$250 × 3 = $750

The farmer saves $750 per year.

Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

Answer:

0.125 miles per minute

Step-by-step explanation:

ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes: 2.5 mi ÷ 20 min = 0.125 miles per minute

The circumference of the circles are 25.12 cm and 29.516 in

From the question, we have the following parameters that can be used in our computation:

(a) D = 8 cm and (b) R = 4.7 inches

Given the diameter, the circumference is

C = πD

So, we have

C = 3.14 * 8 cm = 25.12 cm

Given the radius, the circumference is

C = 2πR

So, we have

C = 2 * 3.14 * 4.7 in = 29.516 in

Hence, the circumference is 29.516 in

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Complete question

What is the circumference of the circle given its diameter (D) of its radius (R)

(a) D = 8 cm and (b) R = 4.7 inches

Answer:

12x + 16y

Step-by-step explanation:

4(3x)= 12x

4(4y)= 16y

9514 1404 393

Answer:

  -1.317

Step-by-step explanation:

  \(\log_5{15}=x+3 \qquad\text{given}\\\\ \dfrac{\log{15}}{\log{5}}=x+3 \qquad\text{change of base formula}\\\\x=\dfrac{\log{15}}{\log{5}}-3 \qquad\text{subtract 3}\\\\x\approx\dfrac{1.17609}{0.69897}-3\approx 1.683 -3\\\\ \boxed{x\approx -1.317}\)

Answer:

-1.317

Step-by-step explanation:

Edge 2020

Answer:

234.5678

Step-by-step explanation:

When rounding to the nearest whole number if the first number after the decimal point if it is 5 it stays the same, if it is less than 5 ; 1,2,3,4 you round down, larger than 5; 6,7,8,9 you round up.

Answer:

29

Step-by-step explanation:

if u put 234.56 divided by 8 into a calculator, you get 29.32

Answer:

In the mathematical expression 2πn, "n" typically represents an integer variable, which can take on any whole number value (positive, negative, or zero). In this case, it's positive.

When used in this context, 2πn represents a sequence of values that are evenly spaced at intervals of 2π, and infinitely repeats every 2π. For example, if n takes on the values of 0, 1, 2, 3, 4, 5, ..., then the corresponding values of 2πn would be 0, 2π, 4π, 6π, 8π, 10π, ..., respectively.

Answer:

Step-by-step explanation:

It's like saying there are infinite solutions

(n) is number of times going around

Ex.

pi/6 is a solution   also,

pi/6 +2pi     still brings you back to same position, but also

pi/6 +2pi + 2 pi   or   pi/6 + 2pi (2)   going around twice

pi/6 +  2pi (3)    going around 3 times.

It's saying you have pi/6 as a solution + everytime you go around the circle 2pi , n times.

To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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Hello,

Answer D

-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k

(-2,18) is a point of the curve:

18=k*(-2)²-8k-32k

-36k=18

k= - 1/2

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

We know this, because the value of x is always constant, no matter the y-value. So, the equation is x=1.

Hope this helped!

Answer:

sorry my cumputer is not working

Step-by-step explanation:

Answer:

Sine is 12/13 = 0.9230

Step-by-step explanation:

take the length of the side opposite the given angle and divide by the length of the hypotenuse. Here that is 12÷13 = .9230

Answer:

250

Step-by-step explanation:

4/16 = 1/4 = .25

When dividing exponents, subtract the bottom from the top, so \(10^{5}\)÷\(10^{2}\) = \(10^{3}\)

So, .25 * \(10^{3}\) = 250

Answer:

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