In ALMN, n = 910 inches, ZL=64º and ZM=31°. Find the length of 1, to the nearest
10th of an inch.

Answer: I believe the answer is 60%

Answer:

The two in the middle are the negatives and the two that are on the sides are positive.

Answer:

0.009 or 0.9%

Step-by-step explanation:

65=0.65

0.65^11=0.00875078317

0.00875078317 rounds to 0.009

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:

13

Step-by-step explanation:

if y = 4, then 4 + 9 = 13

Answer:

\(\huge\boxed{13}\)

Step-by-step explanation:

The given condition is:

=> y + 9

Given that y = 4

=> 4 + 9

=> 13

Answer:

ln t^5s^6.

Step-by-step explanation:

5In t + 6In s

= ln t^5 + ln s^6

= ln (t^5*s^6)

= ln t^5s^6.

The yield to maturity (YTM) of the bonds is 10.77%.

To calculate the yield to maturity (YTM), we need to use the following formula:

YTM = [(Annual Interest Payment + (Par Value - Market Price) / Years to Maturity) / (Par Value + Market Price) / 2] x 100%

Where:

Annual Interest Payment = Coupon rate x Par value

Par value = RM1,000

Market Price = RM980

Years to Maturity = 3

Coupon rate = 10%

First, let's calculate the annual interest payment:

Annual Interest Payment = Coupon rate x Par value = 10% x RM1,000 = RM100

Next, we can substitute the given values in the formula:

YTM = [(100 + (1,000 - 980) / 3) / (1,000 + 980) / 2] x 100%

YTM = 10.77%

Therefore, the yield to maturity (YTM) of the bonds is 10.77%.

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Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Answer:

9%

Step-by-step explanation:

To find the increased amount, subtract this month sales from the last month sales.      

Increased amount = 196200 - 180000

                              = £ 16,200

Now, find the increased percentage using the formula,        

\(\boxed{\bf Increased \ percentage = \dfrac{Increased \ amount}{Original \ amount}*100}\\\\\)

                                        \(= \dfrac{16200}{180000}*100\\\\= 9\%\)

Answer:

2

Step-by-step explanation:

Answer:

Fourth Option

Step-by-step explanation:

In order to find the answer to this question you need to change the mixed number into a improper fraction and then add by finding the least common denominator (LCD).

\(-\frac{3}{4} +2\frac{3}{4}\)

Convert into improper fraction:

\(2\frac{3}{4} =4\times2=8+3=11\)

\(-\frac{3}{4} +\frac{11}{4}\)

Since how the denominators are the same you can just add numerators:

\(-3+11=8\)

\(=\frac{8}{4}\)

Reduce:

\(8\div4=2\)

\(4\div4=1\)

\(=\frac{2}{1}\)

\(\frac{2}{1} =2\)

Hope this helps.

Answer:

15*8*10-7*8*11=584

Step-by-step explanation:

The f_max is the maximum value of the torsional force that can be applied to a shaft without causing it to fail.

To draw torsional moment and displacement diagrams, you can use a process called “torque diagram” which involves solving for all external moments acting on the shaft and drawing out a free body diagram of the shaft horizontally, rotating the shaft if necessary, so that all torques act around the horizontal axis. (Refer the image)

Lined up below the free body diagram, draw a set of axes. The x-axis will represent the location (lined up with the free body diagram above), and the y-axis will represent the internal torsional moment, with positive numbers indicating an internal torsional moment vector to the right and negative numbers indicating an internal torsional moment to the left. The maximum value of torsional moment is denoted by T_max or F_max.

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Answer:

Answer:

Radius: 14

Step-by-step explanation:

We know

Circumference of circle = 2 · r · π

Circumference = 28π

Find radius!

Let's solve

28π = 2 · r · π

14π = r · π

r = 14

So, the radius is 14

Answer:

The radius is 14.

Step-by-step explanation:

Since the circumference is 28pi, we can find the diameter.

C = pi•d

C = 28pi

28pi = pi•d

divide both sides by pi.

d = 28

The diameter is 28.

So, cut it in half to find the radius. 28/2 is 14. The radius is 14.

The gradient of the graph which shows the variation in the mean temperature in the Northern Hemisphere is 0.01.

The mean global temperature change between 2006 and 2009 and 2010 and 2013 is 0.05.

The gradient (or slope) of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, (x1, y1) = (2006, 0.61) and (x2, y2) = (2008, 0.63). Plugging these values into the formula, we get:

m = (0.63 - 0.61) / (2008 - 2006)

m = 0.02 / 2

m = 0.01

Mean temperature change = (Temperature change 2006-2009 + Temperature change 2010-2013) / 2

Mean temperature change = (0.02 + 0.08) / 2

Mean temperature change = 0.10 / 2

Mean temperature change = 0.05

The mean global temperature change between the two periods is 0.05.

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The density is a constant ratio between the number of fish and the volume of the tank, that is

since this ratio must be preserved, then we can write

where V denotes the unknown volume. Now, we need to isolate V.

By multiplying both sides by V, we have

and by dividing both sides by 0.5, we get

which gives

Therefore, the answer is option A: 60 cubic feet

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

Lulu= £81

Ruby=£108

Emma=£ 72

Step-by-step explanation:

Let Lulu's money be x

Let Ruby's money be y

Let Emma's money be z

The total money they went shopping with is = £261

So

x+y+z= 261

Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.

Money spent by each

Lulu= 2/3x

Ruby=1/2y

Emma= 3/4z

Each of them spent the same amount of money.

2/3x= 1/2y= 3/4z

2/3x= 1/2y

x(2*2)/3 = y

4/3(x) = y

2/3x=3/4z

x(2*4)/(3*3)= z

8/9x= z

x+y+z= 261

x+4/3x+8/9x= 261

9x +12x +8x= 2349

29x= 2349

X= 81

4/3(x) = y

4/3(81) = y

108= y

8/9x= z

8/9(81)= z

72= z

\(\huge\textbf{TheStarryNights }\)Hi There!

Solve the Inequality:

2x-1≤x+5

Move all the variables (in this case, x's) to the left, using the opposite operation:

2x-x-1≤5

Move -1 to the left:

2x-x≤5+1

Combine like terms:

x≤6 (Answer)

\(\huge\textbf{TheStarryNights}\)

Answer:

Population mean= mu = μ= $102,342

Step-by-step explanation:

Here

Sample size= n= 15

Population mean= mu = μ= $102,342

Population standard deviation = sigma = σ =$21,756

The population mean is given by mu = μ

Both the means , the sample mean and the population mean give the same measure but there is difference in their calculations and usage.

The population mean mu is calculated by using the population size N but the sample mean x bar is calculated using sample size.

In the given question the sample size is given of the students whereas the mean salaries for attorneys in New York City  gives the population mean because the attorneys in New York City contains all the attorneys given in the city. It is not a sample.

The population gives all the members of the group. So here none is missing.

The width of the base is __57.625__ feet

The length of the base is __57.625__ feet

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

Given,

Perimeter of the rectangular base of a monument is 230.5 feet.

width is equal to its​ length

Perimeter of rectangle = 2 (length + width)

230.5 = 2 (length + length)

4 length = 230.5

length = 230.5/4

length = 57.625 feet

thus, width = 57.625 feet

Hence,

57.625 feet is the length of rectangular base.

57.625 feet is the width of rectangular base.

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Answer:

M= 521.1 g

Step-by-step explanation:

1st.  Find the volume of the cube:   V=3³=27 cm³

As the weight of V= 1 cm³ cube  is 19.3 g the weight of the cube=27 cm³ is

M=27*19.3= 521.1 g

a) The length of the secant segment \(HC = 31.5\).

b) The length of the secant segment \(XY = 4.8\)

In geometry, a secant is a line that intersects a circle at two distinct points. A secant segment is part of a secant that lies between its two points of intersection with the circle.

In geometry, a segment is part of a line that is bounded by two distinct endpoints. A segment can be straight or curved. Straight segments are also called line segments, and curved segments are also called arcs.

According to the given information

a) In the figure, HG is a tangent and HD is a secant to the circle, and HC is the length of the secant segment.

We know that the product of the lengths of the two segments of a secant from an exterior point to a circle is equal to the product of the lengths of the entire secant and its external segment. That is,

\(HD*HE =HG^{2}\)

where \(HE\) is the length of the external segment of the secant.

Substituting the given values, we get:

\(31.5*HE =21^{2}\)

\(HE = 21^{2} /31.5 = 14\)

Now, we can use the same property to find \(HC\). That is,

\(HC *HE =HG^{2}\)

Substituting the values we have found, we get:

\(HC*14 = 21^{2} \\HC = 21^{2} /14 = 31.5\)

Therefore, the length of the secant segment \(HC = 31.5\).

b) \(VX*VZ= VY*VW\)

Substituting the given values, we get:

\(14.4*12= VY *36\\VY = (14.4*12)/36 = 4.8\)

Therefore, the length of \(VY, XY = 4.8\)

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Answer:

She will have 23.1 gallons left after 3 days.

Step-by-step explanation:

We know Margaret uses an average of 1.3 gallons of gas every day and her car holds 27 gallons total. In three days, she would use 3 times her daily average, or 3 * 1.3 = 3.9 gallons consumed in 3 days. To find how many gallons are left in her tank after 3 days, we would subtract 3.9 gallons from 27 gallons. This equals exactly 23.1 gallons of gas.