505
Autumn has 6 ribbons for her hair. Each ribbon is 3 feet long. How many total inches of ribbon
does Autumn have?

When the significant figures are being calculated, the last digit of the result is always uncertain. If there are no remaining digits, it is significant. When multiplication or division is performed, the calculation's outcome is limited to the number of significant figures present in the number with the fewest significant figures.

To know how many significant figures are in the following calculation, (2.461 × 4.215) - 5.122, we need to follow the following steps;2.461 × 4.215 = 10.386915 (multiply first)10.386915 - 5.122 = 5.264915 (subtract next)To determine the final number of significant figures in the result, use the number with the least significant figures. So, 5.122 has the least number of significant figures, which is four (4), so the result is limited to four (4) significant figures. Therefore, the number of significant figures is four (4).This calculation has three (3) significant figures that are reliable. The trailing zeros to the right of the decimal place do not provide any additional information. So, the answer is:There are four (4) significant figures resulting from the given calculation.

To know more about significant figures, visit:

https://brainly.com/question/29153641

#SPJ11

Answer:

2 inches

Step-by-step explanation:

first figure is 6x12, so the length is half the width, so side g is 2 cause 1 is half of 2

Answer:

g = 2 inches

Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

To compute the 99% confidence interval for the population mean, you need to determine the appropriate sample size to ensure that the sample mean does not deviate from the population mean by more than 1.3. The key terms involved in this process are the confidence interval, sample size, population mean, and sample mean.

The confidence interval represents the range within which the population parameter (in this case, the population mean) is likely to fall, given a certain level of confidence. A 99% confidence interval means that you are 99% confident that the true population mean falls within the specified range.

To calculate the required sample size, you will need to use the formula for the margin of error (E), which is E = (Zα/2 * σ) / √n, where Zα/2 is the critical value associated with the desired level of confidence (99%), σ is the population standard deviation, and n is the sample size.

Since you want the sample mean to not deviate from the population mean by more than 1.3, you will need to set E = 1.3 and solve for n. After finding the critical value for a 99% confidence interval (which is approximately 2.576) and assuming you know the population standard deviation, you can plug these values into the formula and solve for n.

By doing this, you will be able to determine the appropriate sample size to ensure that the 99% confidence interval for the population mean is within 1.3 units of the sample mean.

To learn more about confidence interval click here

brainly.com/question/22851322

#SPJ11

Answer:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Step-by-step explanation:

The computation is given below:

As we know that

Population density = Population ÷ Area

So

For city A = 2,195,914 ÷ 1,553 = 1413.98

For city B = 48,592 ÷ 26 = 1868.15

For city C = 1,257,676 ÷ 999 = 1258.93.

For city D = 196,429 ÷ 258 = 761.35.

The following are the true statements:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Answer:

A, D, E

Step-by-step explanation:

Just did it on edge!

Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.

Formula is given by:

\(CV = \frac {\sigma}{\mu}\)

\(\sigma = 0.02\)

Mean for the time of 0.02 sec is = 79 * 0.02

=1.58

CV= 0.02/1.58

=0.012

To learn more about Coefficient of Variation visit:

https://brainly.com/question/13977805

#SPJ4

There are 220 possible arrangements for the 12 students in a row of 12 seats.

To explain this further, we need to understand the concept of permutations. Permutations are the different ways in which a set of objects can be arranged in a specific order. In this case, we want to arrange the 12 students in a row of 12 seats.

To find the number of possible arrangements, we can start by considering the total number of ways to arrange the 12 students without any restrictions. This can be calculated as 12!

However, since there are 9 boys and 3 girls, we need to account for the fact that the boys and girls can be rearranged amongst themselves without changing the overall arrangement. Therefore, we divide by the number of ways to arrange the boys (9!) and the number of ways to arrange the girls (3!).

For more similar questions on permutations

brainly.com/question/28065038

#SPJ8

Answer:

Cubic function.

A cubic function is a polynomial function with the highest exponent equal to 3.

After simplifying logarithm equation is : \(log_{10} \frac{(a-5)^\frac{1}{2} }{a^\frac{1}{2}-5 } \\\)

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   \(log_ax=N\)

where, a is the base of function or equation

           x define expression

Mathematically, if  \(a^N=x\)  is an exponential function then, this can be converted to logarithmic function as  \(log_ax=N\).

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression can be written as,

\(log_{10}(a^2-10a+25) + \frac{1}{2} log_{10}\frac{1}{(a-5)^3} - log_{10}(\sqrt{a} -5)\\\\\)

apply formulas for log a + log b and log a - log b

\(log_{10}(a^2-10a+25) + log_{10}(\frac{1}{(a-5)^3})^\frac{1}{2} - log_{10}(\sqrt{a} -5)\\\\= > log_{10}(a^2-10a+25).(\frac{1}{(a-5)^3})^\frac{1}{2} - log_{10}(\sqrt{a} -5)\\\\= > log_{10}\frac{(a^2-10a+25). (\frac{1}{(a-5)^3})}{(\sqrt{a} -5) } \\\\= > log_{10} \frac{(a-5)^\frac{1}{2} }{a^\frac{1}{2}-5 } \\\)

Thus, after solving the logarithm equation is : \(log_{10} \frac{(a-5)^\frac{1}{2} }{a^\frac{1}{2}-5 } \\\)

To know more about logarithms, visit :

brainly.com/question/5956809

#SPJ4

Answer:

The slope is 10

The y - intercept is 20

Step-by-step explanation:

The equations are written as:

y = ?x + ?

The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10

The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept

Answer:

18.1

Step-by-step explanation:

All radii of a circle are congruent (same length), which means if we draw in a radius from the center to the end of the 16.3, it would be the same length of x.

Now we can use sa very simple theorem.... the pythagorean therom!

\(7.9^{2} + 16.3^{2} = x^{2} \\62.41 + 265.69 = x^{2} \\328.1 = x^{2} \\18.1 = x\)(rounded)

I hope this helps you.

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

To know more about hypothesis here

https://brainly.com/question/14517618

#SPJ4

Answer:

the kast option where g(-2) is greater than g(4)

Step-by-step explanation:

Because attention is required to bind multiple features together..

According to Triesman's Feature Integration Theory, reaction times during feature search are independent of set size because feature search involves parallel processing of individual features such as color, shape, or orientation, without the need for attention to be focused on each item in the display separately.

In other words, each feature is processed separately and independently of the others, and attention can be divided among all of the items in the display at once.

On the other hand, in conjunction search, where the target is defined by the combination of two or more features, attention is required to bind the features together, and therefore the reaction time increases as the number of items in the display increases.

Therefore, in feature search, reaction times remain constant regardless of set size because the search process does not require focused attention on individual items, while in conjunction search, reaction times increase with set size because attention is required to bind multiple features together.

Learn more about Triesman's Feature

brainly.com/question/30591873

#SPJ11

Answer:

691,2

Step-by-step explanation:

i found that

is it true ?

i hope it helps ! ?

In linear equation, 3782.94  is his new balance.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

balance * APR / 12 = interest

where APR stands for annual percentage rate and 12 represents the number of months in a year.

When we apply this formula to Samir's balance and APR, we get:

5,091.55 * 0.157 / 12 = 66.61 in interest

As a result, the total new balance is:

5,091.55 - 746 + 496 + 66.61 = 3782.94

We get the following when we round to the nearest hundredth:

$3782.94

As a result, Samir now has a balance of $3782.94.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

Answer:

Step-by-step explanation:

a) 32.5/40

= 32.5/40 * 100%

= 81.25%

~81%

b) 31.5/40

= 31.5/40 * 100%

= 78.75%

~79%

c) 29.5/35

= 29.5/35 * 100%

= 84.3%

~84%

d) 26/35

26/35 * 100%

= 74.3%

~74%

e) 24/35

24/35 * 100%

= 68.6%

~69%

Answer:

See below ~

Step-by-step explanation:

a) 32.5/40

b) 31.5/40

c) 29.5/35

d) 26/35

e) 24/35

Answer:

A

It is always true that:

rational number + rational number = rational number.

The answer is option A.

Answer:

a

Step-by-step explanation:

100%

The amount she will need to pay is $6.95 .

The amount Anye will need is calculated as follows;

The total cost of the two coffees is 2 x $3.55 = $7.10

The total cost of the coffees and muffin is $7.10 + $2.85 = $9.95

Adding the $2 tip, the total cost becomes $9.95 + $2 = $11.95.

If Anye has a $5 gift card, the amount she will need to pay is calculated as;

= $11.95 - $5

= $6.95

Therefore, Anye will need $6.95 in cash to pay for the rest of the order.

Learn more about amount here: https://brainly.com/question/25793394

#SPJ1

Therefore, √128 lies between 11 and 12 on a number line.

To determine the two numbers between which √128 lies on a number line, we can calculate the square roots of consecutive perfect squares that surround 128.

By calculating the square roots, we can find the two nearest whole numbers that √128 lies between.

Calculating the square roots of perfect squares near 128:

√121 = 11

√144 = 12

Since 128 is greater than 121 and less than 144, √128 lies between √121 and √144 on the number line.

To know more about number line,

https://brainly.com/question/17575652

#SPJ11

Answer:

Try searching online

Step-by-step explanation:

go to your browser then search up
How to do proportional relationships in math 7th grade ?? Please explain ?!!

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3

The product of 6 and the square of a number

Consider the number as x

Then the product of 6 and the square of a number = \(6x^2\)

The product of 6 and the square of a number is increased by 5 times the number, the result is 4

Then the equation will be

\(6x^2\) + 5x = 4

Move 4 to the left hand side of the equation

\(6x^2\) + 5x - 4 = 0

We have to solve the quadratic equation

Split the middle terms

\(6x^2\) + 8x - 3x -4 = 0

2x(3x+4) -1(3x+4) = 0

(2x-1)(3x+4)= 0

Then the value of x will be

2x- 1 = 0

2x = 1

x = 1/2

Similarly

3x+4 = 0

3x = -4

x = -4/3

Hence, when the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3

Learn more about quadratic equation here

brainly.com/question/1863222

#SPJ1

Answer:

Cumulative Frequency:

The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.

The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.

Step-by-step explanation:

Answer:

Down there! Idk if it was what your looking for but this is what I got..

Step-by-step explanation:

(-∞,∞)

Step-by-step explanation:

PART A:

given

This is true for all values of x.

So,x∈-∞,+∞

PART B:

When ,left hand side=

right hand side=

so,left hand side =right hand side

When ,left hand side=

right hand side=

so,left hand side =right hand side

When ,left hand side=

right hand side=

so,left hand side =right hand side

Answer:

5+4-12=4-7   9-12=4-7   -3= -3

5+0-12=0-7   5-12=0-7   -7= -7

5+5-12=5-7   10-12=5-7  -2= -2

Step-by-step explanation:

Answer:

y ≤ x-2

y > -x + 5

y ≤ 3

y ≥ 0

Step-by-step explanation:

all answers have y ≥ 0 and y ≤ 3

next, we want to figure out if y < -x + 5 or y > -x + 5

plotting the line with a few points (e.g. (0,5), (5,0)), we can tell the red dotted line is y = -x + 5. the shaded area is above it, so we can say that y > -x + 5

similarly, we can tell the blue line is y = x-2. the shaded values are below it, so we can say that y ≤ x-2

Euclid receives 20 shares of common stock as a nontaxable stock dividend.The basis of the common stock remains the same as in scenario a, which is $96.15 per share.

To calculate the per share basis, we divide the original purchase cost by the total number of shares (including the dividend shares).  In scenario b, Euclid receives a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000.

The tax consequences involve determining the new basis of the preferred stock and the common stock after the dividend. a. To find the per share basis of Euclid's common stock after receiving the stock dividend, we divide the original purchase cost by the total number of shares. The original purchase cost was $50,000 for 500 shares, which means the per share basis was $50,000/500 = $100. After receiving 20 additional shares as a dividend, the total number of shares becomes 500 + 20 = 520.

Therefore, the new per share basis is $50,000/520 = $96.15. b. In this scenario, Euclid receives a preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock has a fair market value of $75,000. To determine the new basis of the preferred stock, we consider its fair market value.

Since the preferred stock dividend is nontaxable, its basis is equal to the fair market value, which is $5,000.

Learn more about shares here: brainly.com/question/32277750

#SPJ11

Answer:

x = 10

Step-by-step explanation:

We need to isolate X.

3x - 7 = x + 13

subtract 13

3x - 7 - 13 = x

combine like terms

3x - 20 = x

subtract 3x

- 20 = x - 3x

Combine like terms

- 20 = - 2x

Divide by -2

10 = x

a) sin(-t) = -sin(t) = -2/3
b) csc(-t) = 1/sin(-t) = 1/-2/3 = -3/2

This question can be solved using concept of trigonometry.

Using the given value sin(t) = 2/3, we can evaluate the following:

(a) sin(-t):

Since sin(-t) is an odd function, we have sin(-t) = -sin(t).

Substituting sin(t) = 2/3, we get:

sin(-t) = -sin(t) = -2/3

So, sin(-t) = -2/3.

(b) csc(-t):

We know that csc(-t) = 1/sin(-t).

Using the value of sin(t) = 2/3, we can find sin(-t) as shown:

sin(-t) = -2/3

So, csc(-t) = 1/sin(-t) = 1/(-2/3) = -3/2.

Therefore, csc(-t) = -3/2.

To learn more about trigonometry:

https://brainly.com/question/29002217#

#SPJ11

Answer:

Its your answer ......

hope it will help u