55 percent of 91 without rounding?

Answer:

300 voters

Step-by-step explanation:

1000 x 0.30 = 300

Answer:

300

Step-by-step explanation:

Using the properties of rational exponents, the value of y is 7/3.

Solve the equation using the properties of rational exponents. We are given the equation: (x^(4/3))^2 / x^(1/3) = x^y, and we need to find the value of y.

Step 1: Apply the power rule of exponents to (x^(4/3))^2.
The power rule states that (a^m)^n = a^(m*n).

So, in our case, (x^(4/3))^2 = x^((4/3)*2) = x^(8/3).

Step 2: Rewrite the equation with the result from step 1.
Now, our equation is x^(8/3) / x^(1/3) = x^y.

Step 3: Apply the quotient rule of exponents.
The quotient rule states that a^m / a^n = a^(m-n).

In our case, x^(8/3) / x^(1/3) = x^((8/3) - (1/3)) = x^(7/3).

Step 4: Compare the resulting expression to x^y.
Now our equation is x^(7/3) = x^y.

Since the bases (x) are the same, we can conclude that the exponents must be equal. Therefore, y = 7/3.

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Answer:

\(3-[-(-1)]=2\)

Step-by-step explanation:

\(3-(-(-1))=3-1\\\)

\(3-1=2\)

\(=2\) ← Our Solution

Hope this helps!

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

Answer:

26 dollars per ticket

Step-by-step explanation:

156/6=26

26x6=156

49.07 is the mean and standard deviation of the waiting time .

What is standard deviation in math?

Your dataset's average level of variability is represented by the standard deviation. It reveals, on average, how far away from the mean each value is.

                                A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.

Let X shows the waiting time. So mean

μ = E(x) = a + b/2 =  30 + 200/2  = 115

Standard deviaiton

 σ = \(\sqrt{\frac{(b - a )^{2} }{12} }\)

     = \(\sqrt{\frac{(200 -30)^{2} }{12} }\)

     = 49.07

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The exact value of R is 0.16 or 16% using compound interest.

To find the exact value of R, we need to use the formula for compound interest. The formula for compound interest is: A = P(1 + r/n)^(nt)Where A is the final amount, P is the principal amount, r is the nominal interest rate, n is the number of times interest is compounded per year, and t is the number of years.

We can plug in the values given in the question to find R. The interest earned during t = 0.5 to t = 1.5 is 1.0816 times the interest earned during t = 0 to t = 1.

So, we can set up an equation:1.0816(P(1 + R/4)^(4*1)) = P(1 + R/4)^(4*1.5)Simplifying the equation gives us:1.0816 = (1 + R/4)^0.5

Taking the square root of both sides gives us:1.04 = 1 + R/4Subtracting 1 from both sides and multiplying by 4 gives us:R = 0.16Therefore, the exact value of R is 0.16 or 16%.

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Answer:

no. because if you divide 4/15 you will get 0.266666.....

Answer:

Scale factor of \(\frac{1}{7}\).

Step-by-step explanation:

scale = \(\frac{scaled length}{actual length}\)

The rectangle has been scaled by a factor of seven implies that its real dimensions has been multiplied by seven. Therefore, to scale the copy back to its original size, its dimension should be multiplied by a scale factor of \(\frac{1}{7}\).

Example:

when the scale is 7;

2 x 7 = 14

3 x 7 = 21

when the scale is \(\frac{1}{7}\);

14 x \(\frac{1}{7}\) = 2

21 x \(\frac{1}{7}\) = 3

Answer: UNIT RATE 1

Step-by-step explanation: :7 days a week, your getting 6eggs a day. the equation for unit rate is just x/y so 7/1-6 thats going to give you a unit rate of 1

Answer:

unit rate 1

Step-by-step explanation:

hope this helps

The value of n from the given expression is m/p-6

The subject of formula is a way of representing a variable in terms of other variables.

Given the expression

m/n = p - 6

Cross multiply

m = n(p - 6)

Divide both sides by p -  6

m/p-6 = n

Swap

n = m/p-6

Hence the value of n from the given expression is m/p-6

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The probability that exactly one of the three vcrs is defective is 0.1354

x = total number of trials = 3 VCRs

x = number of successes = number of defective VCRs = 1

n- x = 3 -1 = 2

p = P(success) = 0.05

q = P(failure) = 1 -p = 1 – 0.05 = 0.095

In this question we are applying binomial distribution strategy: it is always applied to find the probability that an outcome will occur x times in n performances or experiment.

P (x = 1) = 3C1 (0.05)1 (0.95)2

= 3 (0.05) (0.9025)

= 0.1354

Therefore, the probability of exactly one of the three VCRs being a defective one is 0.1354

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Answer:

x = 29 ,  b = -3

Step-by-step explanation:

5 = b + 8

5 - 8 = b

-3 = b

b = -3

2x + 3b = 156

156 / 3 = 52

52 / 2 = 26

x + b = 26

26 + 3 = 29

x = 29

Answer:

inversely proportional

Step-by-step explanation:

Answer:

7.93

Step-by-step explanation:

Answer:

158.5

Step-by-step explanation:

= 52 - 6 × 1 + 75 × 3 / 2

= 52 - 6 + 75 × 3 ÷ 2

= 52 - 6 + 112.5

= 46 + 112.5

= 158.5

Answer:

The solution is 158,5

Step-by-step explanation:

52-6×1+75×3÷2

= 52-6+75×3÷2

= 46+225÷2

= 46+112,5

= 46+112,5

= 158,5

(2/3)x = 7 + 2

(2/3)x = 9

2x = 9 × 3

x = 27/2

:. x = 13 1/2

Step-by-step explanation:

11.x+y

12.x=2y+3

13.x‹5

14.x+y›25

15.cannot be determined

The correlation coefficient between X and Y is 0.1757.

The correlation coefficient (also known as the Pearson correlation coefficient or simply the correlation) measures the strength and direction of the linear relationship between two variables. In this case, X and Y are the variables of interest.

Looking at the regression output, we can see that the coefficient for X is -0.005920. However, the correlation coefficient is the square root of the coefficient of determination (R-squared), which is given as 0.175724 in the output.

Therefore, the correlation coefficient between X and Y is approximately 0.1757. This indicates a weak positive linear relationship between X and Y.

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The absolute maximum and minimum value of f on [π/4, 7π/4] are 2.1523 and -2.2160 respectively.

Given function is f(t) = t cot(1/2t) on [π/4, 7π/4].

To find the absolute maximum and minimum value of the given function f(t), let's follow the following steps:

Step 1: Find the critical numbers of f(t) on the given interval. Critical number is a number in the interval where the derivative is zero or undefined.

Step 2: Find the values of f(t) at the critical numbers, end points of the interval.

Step 3: Compare all the values found in Steps 1 and 2 to determine the absolute maximum and minimum of the function f(t) on the given interval.

1) First find the critical numbers of f(t) on the given interval:

Using the chain rule and product rule,differentiate

f(t) = t cot(1/2t)  w.r.t t :

f′(t) = cot(1/2t) – (t/2) csc^2(1/2t)

Critical numbers occur where f′(t) = 0 or is undefined.

Therefore, we solve cot(1/2t) – (t/2) csc^2(1/2t) = 0 ...[1]

Note that the function cot(1/2t) is defined on the interval [π/4, 7π/4] if and only if 1/2t ≠ kπ for integer k.

So, we solve [1] only for those values of t which are not multiple of π.

For simplicity, let's write x instead of 1/2t.

Now, we have, cot x - (2x)^-1 = 0i.e. cot x = 1/2x

Now, graph of cot x and y = 1/2x are shown below:

The x-coordinate of the intersection points of the two graphs are the solutions of the equation cot x = 1/2x.

There are two solutions on the interval [π/4, 7π/4]: x = 1.20256 and x = 5.44148

Therefore, the corresponding critical numbers t are t = 1/(2x) and t = 1/(2x) = 1.65214 and t = 11.01182 (approximate to five decimal places).

2) Now, find the value of f(t) at the critical numbers and end points of the interval:

f(π/4) = (π/4) cot(π/8)

≈ 0.76537f(7π/4)

= (7π/4) cot(7π/8)

≈ -0.76537

f(1.65214) = 1.65214 cot 0.82607

≈ 2.1523

f(11.01182) = 11.01182 cot 5.50591

≈ -2.2160

Therefore, absolute maximum of f(t) on the interval [π/4, 7π/4] is 2.1523 and it occurs at t = 1.65214.

Absolute minimum of f(t) on the interval [π/4, 7π/4] is -2.2160 and it occurs at t = 11.01182.

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A triangle is a shape used to represent the components of total health. True

The slope of the line -1 and the y-intercept is 3.

From the question, we have

x+y = 3

y = -x+3

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

m = -1

c = 3

Slope of a Line :

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

As a result, m = change in y/change in x = y/x is the formula for the change in y-coordinate with respect to the change in x-coordinate.

where "m" represents a line's slope. The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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11. $4.28532 x 0.01 = 428.532 (cents)

   $4.28532 = $4.29 (KDD)

   $4.28532 = $4

12. $34.5561 x 0.01 = 3455.61 (cents)

    $34.5561  = $34.56 (KDD)

    $34.5561  = $35

13. $504.729 x 0.01 = 50472.9 (cents)

    $504.729 = $504.73 (KDD)

    $504.729 = $505

This should give you a rough idea of how to do the conversions... Will you be needing help with the other ones as well?  

Answer:

Step-by-step explanation:

The square of a number n is denoted by n^2.

Examples:  The square of 2 is 2^2, or 4; the square of 5 is 5^2, or 25.  To find a perfect square of a number n, multiply the number by itself (obtaining the square of n).

Got this answer from another Brainly user:

To solve this problem, let's set up a proportion.

60% = 6/10

Let x represent the total amount of people surveyed (or what we are trying to find)

6/10 = 540/x

To solve this proportion, let's use cross products, or the multiplication of the numerator of one fraction times the denominator of the other fraction and setting them equal to one another.

10(540) = x(6)

Now, let's simplify the resulting equation.

5400 = 6x

Now, let's divide both sides by 6, or the coefficient of x, to get it alone on the right side of the equation.

x= 900

Therefore, if 540 people preferred walking, then 900 people were surveyed.

And I'm guessing that 40% preferred running

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

2.5 teaspoons

Step-by-step explanation:

75/15 = 5

1/2 · 5 = 2.5

Answer:

2.5 teaspoons of sugar

Step-by-step explanation:

\(\frac{15}{0.5} =\frac{75}{y}\)

Cross multiply.

15 × y = 0.5 × 75

15y = 37.5

15y ÷ 15 = 37.5 ÷ 15

y = 2.5

Answer:

29.5735296 cc = 1 oz