how do I find the decimal value of the fraction 11/16?

Answer:

1,f

2,t

the last one just use photo math

Step-by-step explanation:

Answer:

a) The 90% confidence interval for the mean is (34.08, 35.52).

b) The 90% confidence interval for the mean is (34.44, 35.16).

c) Width for n=81: 1.44

Width for n=324: 0.72

d) The width of the interval is reduced by a factor of √4=2.

Step-by-step explanation:

a) We have to calculate a 90% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=34.8.

The sample size is N=81.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3.9}{\sqrt{81}}=\dfrac{3.9}{9}=0.43\)

The degrees of freedom for this sample size are:

\(df=n-1=81-1=80\)

The t-value for a 90% confidence interval and 80 degrees of freedom is t=1.66.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.66 \cdot 0.43=0.72\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 34.8-0.72=34.08\\\\UL=M+t \cdot s_M = 34.8+0.72=35.52\)

The 90% confidence interval for the mean is (34.08, 35.52).

b) As the sample size has changed, we recalculate the standard error:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3.9}{\sqrt{324}}=\dfrac{3.9}{18}=0.22\)

The degrees of freedom for this sample size are:

\(df=n-1=324-1=323\)

The t-value for a 90% confidence interval and 323 degrees of freedom is t=1.65.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.65 \cdot 0.22=0.36\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 34.8-0.36=34.44\\\\UL=M+t \cdot s_M = 34.8+0.36=35.16\)

The 90% confidence interval for the mean is (34.44, 35.16).

c. The widths are:

For n=81

\(w_a=UL-LL=35.52-34.08=1.44\)

For n=324

\(w_b=UL-LL=35.16-34.44=0.72\)

d. The effect of quadrupling the sample size, with all the other parameters constant, is that the width of the interval is reduced by a factor of 2.

This is because the standard error, and therefore the margin of error, is reduced by a factor of √4=2, when the sample size is quadrupled.

Answer: ill take care of him

Step-by-step explanation:

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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The cost of the carpentering of the floor at the rate 12 rupees per square meter is 60 rupees.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

We have the room as a cuboid.

And its length is 6 meters and height is 3 meters.

The volume of the cuboid = length x height x width

90 = 6 x 3 x width

width = 90 / 18

width = 5 meter.

To find the cost of carpentering the floor, the rate of Rs. 12 per square meter.:

12 x width = 12 x 5 = 60 rupees.

Therefore, at the rate of 12 rupees per square meter, the cost of the carpentering of the floor is 60 rupees.

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Answer:

Shortest is john

Tallest is ken

Step-by-step explanation:

You have to look at the last few words (er, est).

Ex: 3. strong 2. stronger 1. strongest

Hope this helps <3

Need thanks? Comment /hearthelp

Answer:

it would the letter B

Step-by-step explanation:

the y intercept for function 1 is 3 and the y intercept for function 2 is 5

Matt ate 1/6 of the bag of peanut

Matt had 4/6 bag of peanut

He ate a quarter of what was in the bag

The amount of peanut he ate can be calculated as follows

= 4/6 × 1/4

= 4/24

= 1/6

Hence Matt ate 1/6 of the bag of peanut

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Answer:

Answer is 89. Because total slices were 96 and Mai ate 7 so 96 - 7 is 89

The probability that the number is 6 and the letter is a consonant is 3/40.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of choosing the number 6 is 1/10, since there are 10 possible digits to choose from (0 to 9) and each is equally likely to be chosen.

The probability of choosing a consonant from the alphabet depends on the definition of "consonant". If we define consonants as all the letters in the alphabet except for A, E, I, O, and U (i.e., the vowels), then there are 21 consonants in the alphabet.

The total number of letters in the alphabet is 26, so the probability of choosing a consonant is 21/26

To find the probability that the number is 6 and the letter is a consonant, we need to multiply the probabilities of these events occurring independently:

P(number is 6 and letter is a consonant) = P(number is 6) * P(letter is a consonant)

= (1/10) * (21/26)

= 21/260

= 3/40

Therefore, the probability that the number is 6 and the letter is a consonant is 3/40.

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Answer: 120 beads

Step-by-step explanation:

480 divided by four is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

(so many typos in question so I do not know the names.)

Answer: 120

Step-by-step explanation:

480/4 is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

This is a radioactive decay / half-life problem.

Initial amount of C 14 = 100% Present Amount = 57%

k = .0001  (that value should be negative)

Nt = No * e^ (k*t)

You need to solve that equation for "time" (equation attached)

time = natural log (Ending amount / Starting Amount) / k

time = natural log (57% / 100%) / -.0001

time = ln (.57) / -.0001

time = -.56211891815 / -.0001

time = 5,621.2 years    (age of the bird skeleton)

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

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The complete question is "A geologist in South America discovers a

bird skeleton that contains 57% of its

original amount of C-14.

N = Noekt

No = inital amount of C-14 (at time

t = 0)

N = amount of C-14 at time t

k = 0.0001

t = time, in years

Find the age of the bird skeleton to the nearest year"

Answer:

124.1 kilometers

Step-by-step explanation:

We can use the scale given in the problem to convert the trail length on the map from centimeters to kilometers.

According to the scale, 2 centimeters on the map represent 33 kilometers in real life.

So, we can set up a proportion to find the actual length of the trail:

2 cm : 33 km = 7.6 cm : x km

Where x is the actual length of the trail in kilometers.

To solve for x, we can cross-multiply the proportion and simplify:

2 * x = 33 * 7.6

x = (33 * 7.6) / 2

x = 124.1

Therefore, the actual length of the trail is approximately 124.1 kilometers (rounded to one decimal place).

The solution of the equation 4x - 3  = 5 is not extraneous .

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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The Iowa class battleship will coast for approximately 7,779.66 meters before it is dead in the water.

The formular "d = v0m/k" will be used to find the estimated distance which the ship will coast because it is dead in the water. Using the formula d = v0m/k, where d is the distance the ship will coast, v0 is the initial velocity, m is the mass of the ship, and k is the k-value of the ship, we can calculate the distance as follows:

Data

v0 = 9 m/s (since the ship loses power when moving at this speed)

m = 51,000,000 kg

k = 59,000 kg/sec

Plugging in the values, we have:

d = v0m/k

d= (9 m/s)(51,000,000 kg)/(59,000 kg/sec)

d = 7779.66101695

d = 7,779.66 meters

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Answer:

\(g'(y)=3y^2-4y-8\)

Step-by-step explanation:

start by foiling out the given function

\(g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y\)

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

\(g'(y)=3y^2-4y-8\)

189 inches to 16 feet is 15.75 feet

Answer:

feet = 15.75 since u have to divide the length by 12

Step-by-step explanation:

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

Question 3

Given expression:

\(\sf \left(\dfrac{-8}{9} \times \dfrac{1}{-5}\right)+\left(\dfrac{-8}{9} \times \dfrac{-7}{11}\right)\)

Both parentheses share a common term.

To factor out a common term: ab + ac = a(b + c)

\(\textsf{Factor out the common term }\dfrac{-8}{9}\)

\(\sf \implies\dfrac{-8}{9} \times \left(\dfrac{1}{-5}+\dfrac{-7}{11}\right)\)

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

Question 4

To calculate the amount of money Rajni had to begin with, sum the three amounts she spent:

\(\sf \implies total=10\frac14+25\frac34+16\frac12\)

As \(\sf a\frac{b}{c}=a+\frac{b}{c}\), then:

\(\sf \implies 10+\frac14+25+\frac34+16+\frac12\)

Collect and sum the whole numbers:

\(\sf \implies (10+25+16)+\frac14+\frac34+\frac12\)

\(\sf \implies 51+\frac14+\frac34+\frac12\)

As  \(\sf \frac14+\frac34=\frac44=1\), then

\(\sf \implies 51+1+\frac12\)

\(\sf \implies 52+\frac12\)

\(\sf \implies 52\frac12\)

The total number of votes cast is 480

Ownership of more than 50% of voting shares generally gives the right of control and consolidation. In special cases, control is possible without having to own more than 50% of voting stock.

Let x represent total number of votes.

step1:

We have been given that Joel got 50% of the votes, which was 48 votes more than Sean.

50% of total votes:50/100\(x\)=0.50\(x\)

Since Joel got 50% of total votes, so Sean got 40% of total votes that is

40/100\(x\)=0.40\(x\)

Since Joel got 38 votes more than Sean, so we can represent this information in an equation as:

0.50\(x\)=0.40\(x\)+48

0.50\(x\)-0.40\(x\)=0.40\(x\)-0.40\(x\)+48

0.10\(x\)=48

step2:

0.10\(x\)/.10=48/.10

\(x\)=480

Therefore, the total number of votes cast is 480

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The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Work Shown:

x = (4+6i)^2

x = (4+6i)(4+6i)

x = y(4+6i)  ...... let y = 4+6i

x = 4(y)+6i(y)  ..... distribute

x = 4(4+6i)+6i(4+6i)  .... plug in y = 4+6i

x = 16+24i+24i+36i^2  ..... distribute again

x = 16+24i+24i+36(-1)  .... use the fact that i^2 = -1

x = 16+24i+24i-36

x = 16-36+24i+24i

x = -20+48i

Answer:

A -20+28i

Step-by-step explanation:

Answer:

It is true!!!'djjfdjidjdneidid

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The probability that you will win at least one prize if you buy one ticket each month for three months is 0.314 or 31.4%.

The probability of not winning a prize in one drawing is 1 - 0.11 = 0.89.

If we assume that the draws are independent events, the probability of not winning a prize in three consecutive months is 0.89^3 = 0.686.

Therefore, the probability of winning at least one prize in three months is 1 - 0.686

= 0.314 or 31.4%.

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Answer: 31 passengers are in each car.

Step-by-step explanation:

You divide:

403 ÷ 13 = 31

31 Passengers are in each chair.

I hope I helped you with this question. Have a great day!

Answer:

True i guess

Step-by-step explanation: