the height of a tree is 170m the lower and upper bound of it's height is ​

Answers

Answer 1

9514 1404 393

Answer:

  [165, 175) meters

Step-by-step explanation:

The rule with respect to questions like this is that the bounds are ±1/2 of the place value of the least-significant digit. Here, the integer portion of the number has trailing zeros, and there is no decimal point or fractional part. Ordinarily, this combination of characteristics would signal that the trailing zeros are not significant, so the only significant digits are 1 and 7. The place value of the least significant digit is 10, so the bounds on the measurement are this number ±1/2(10) = ±5.

Of course, 175 rounds up to 180, so the upper bound is a limit, rather than an actual value. The height should be interpreted in this context as ...

  165 m ≤ height < 175 m

The lower and upper bounds are 165 m and 175 m, respectively.

_____

Additional comment

The best way to avoid any ambiguity as to whether trailing zeros are significant is to use scientific notation. If a zero in the ones place is significant, that is conventionally indicated by a decimal point: "170.". If scientific notation is used, the number would be reported as 1.70×10² to indicate the trailing zero is significant.

For reference, Earth's tallest tree is a redwood just under 116 meters high.


Related Questions

Find the perimeter of a triangle with sides 2 ft 3 in., 3 ft 4 in., and 4 ft 6 in.

Answers

2ft + 3 ft + 4 ft = 9ft and 3in + 4in + 6in = 13 in. 13 inches is also equal to 1ft 1 inch so 1ft 1 inch + 9ft = 10 feet and 1 inch for a perimeter

2. What is the variable in the expression:
13x3 +7
(Select one answer)
7
3
13

Answers

I think it would be 3

In a process control study, the overall process average over 15 samples is 63.45 with an average corresponding range of 5.6. What is the lower control limit of the R-chart

Answers

Answer:

[tex]LCL=1.94[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=15[/tex]

Mean [tex]\=x=63.45[/tex]

Range [tex]R=5.6[/tex]

Generally at [tex]n=15[/tex]

Value of Control chart constant,

 [tex]LCL=D*R[/tex]

Generally the equation for Lower Control Limit is mathematically given by

 [tex]LCL=D*R[/tex]

 [tex]LCL= 0.347*5.6[/tex]

 [tex]LCL=1.94[/tex]

Riley wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 4.5% and the other bank is offering a rate of 4.5% compounded annually. Which is the better deal?

Answers

the bank that offers compound interest should get Riley more money.

let's assume he puts 10,000 in each account, and he is saving for 10 years.

the account that gives him simple interest will give him .045 * 10,000 * 10 = 4500 in interest, which gives him a total of 14,500 at the end of 10 years.

the account that gives him annual compound interest will give him 10,000 * 1.045 ^ 10 = 15,529.69422 at the end of the 10 years.

the difference is that he is earning interest on his interest in the annual compound account, while he is only earning interest on his principal in the simple interest account.

Hope this helps. Good luck !!

A town recently dismissed 10 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of age and 18 under 50. If the dismissed employees were selected at random, what is the probability that exactly 5 employees were over 50

Answers

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are dismissed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Total of 7 + 18 = 25 employees, which means that [tex]N = 25[/tex]

7 over 50, which means that [tex]k = 7[/tex]

10 were dismissed, which means that [tex]n = 10[/tex]

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055[/tex]

0.055 = 5.5% probability that exactly 5 employees were over 50.

Solve 3t + 2 = 5t - 4

Answers

Answer:

3

Step-by-step explanation:

3t + 2 = 5t - 4

3t - 5t = -4 - 2

-2t = -6

t = 6/2

t = 3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

3t - 5t = - 4 - 2

-2t = -6

(Cut those two -)

t = 6÷2

t = 3

16. write an inequality for each graph
a.....
b.....

17. Graph each inequality on a number line.
a.....

b....

Answers

Answer:

Question 16

(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x

(b) x [tex]\geq[/tex] -2 : the circle is filled therefore -2 is included in the answer

Question 17

(a) unfilled dot above -2 and arrow pointing to the left

(b) shaded circle above 4 with and arrow pointing to the right →

Two minor league baseball players got a total of 390 hits. Washington had 2 more hits than Sanchez. Find the number of hits for each player.
Washington had
hits. Sanchez had
hits

Answers

9514 1404 393

Answer:

Washington had 196 hitsSanchez had 194 hits

Step-by-step explanation:

Let s represent the number of hits Sanchez had. Then Washington had (s+2) hits, and their hit total was ...

  s +(s+2) = 390

  2s = 388 . . . . . . subtract 2

  s = 194 . . . . . . . . divide by 2

Sanchez had 194 hits; Washington had 196.

 

❤✔

PLEASE HELP ME MAKE SURE YOUR ANSWER IS RIGHT BEFORE ANSWERING

Answers

Answer:

Always. Always.

Step-by-step explanation:

All circles conform to the same equations such as using pie to calculate circumference. Unlike a rectangle, for example, all ratios used in a circle are the same.

Will mark you BRAINLIEST!

Answers

Answer:

x = 9/8

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

AB         BC

----  = -----------

AD       ED

x            1

----  = -----------

x+9       9

Using cross products

9*x = 1(x+9)

9x = x+9

Subtract x from each side

9x-x = x+9-x

8x = 9

Divide by 8

8x/8 = 9/8

x = 9/8

Take the triangle as,

→ AB/AD = BC/ED

→ x/x+9 = 1/9

Now by using cross products,

→ 9 × x = 1(x+9)

→ 9x = x+9

Now subtract x from both sides,

→ 9x-x = x+9-x

→ 8x = 9

Then divide by 8 from both sides,

→ 8x/8 = 9/8

→ x = 9/8

So, the value of x is 9/8.

Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was more than the sum of Jan's and Maxim's scores. What could be Peter's least possible score?

Answers

Answer:

135

Step-by-step explanation:

Given that :

Total score obtained by Peter, Jan and Maxim = 269

Let :

Peter's score = x

Jan's score = y

Maxim's score = z

x + y + z = 269

x > (y + z)

For x to be greater Than y + z ;

Then x > (269 / 2) ; x > 134.5

The least possible x score is 135

Hence, Peter's least possible score is 135.

use the figure to find x

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = (5/2)/x

  x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1

  x = 5

__

Additional comment

In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...

  y = (5/2)√3

Ming rented a bike from Ted's Bikes. It cost $13 plus $3 per hour. If Ming paid $31,
then he rented the bike for how many hours?

A)7.
B)10.3333
C)6
D)10

Answers

Answer:

C, 6

Step-by-step explanation:

31-13 is 18, 18/3 is 6.

Answer:

6

Step-by-step explanation:

31-13= 18

18÷3 = 6

Answer from Gauthmath

The two triangles are similar.

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x=4

Step-by-step explanation:

[tex]\frac{16}{12}= \frac{6x}{5x-2}[/tex]

assuming that the triangles are similar, we can create this ratio of 16 or 12+4 to 6x and 12 to 5x-2

we can cross multiply to get 16(5x-2)=6x(12)

that leaves you with 80x-32=72x

we can then subtract 80x to both sides to get -32= -8x

solve by diving -8 from both sides which means that x=4

Answer:

[tex]this \: triangles \: are \: similar \: so \\ sides \: must \: be \: in \: a \: ratio \\ \frac{16}{12} = \frac{6x}{5x - 2} \\ \frac{4}{3} = \frac{6x}{5x - 2} \\ 4(5x - 2) = 3 \times 6x \\ 20x - 8 = 18x \\ x \: terms \: togather \\ 20x - 18x = 8 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4 \\ thank \: you[/tex]

if two of the three points (0,0) ,(2,3) (3,4) lie on one side and other on another side of line x-3y+3​

Answers

Answer:

Opposite sides

Step-by-step explanation:

Given equation of line is 

L=3x−2y+1=0

For the point (2,1), L=5>0

For the point (−3,5),L=−18<0

Opposite signs shows that the two points lies on the opposite side of the line  L=0.

sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose the height of the pile infcreases at a rate of 1cm/s when the pile is 12 cm hight. at what rate is the sand leaving the bin at that instant

Answers

Answer:

[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]

Step-by-step explanation:

From the question we are told that:

Rate [tex]\frac{dh}{dt}=1cm[/tex]

Height [tex]h=12cm[/tex]

Radius [tex]r=4h[/tex]

Generally the equation for Volume of Cone is mathematically given by

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]V=\frac{1}{3}\pi (4h)^2h[/tex]

Differentiating

[tex]\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}[/tex]

[tex]\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1[/tex]

[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]

Pls answer , If you do tysm

Answers

Answer:

Step-by-step explanation:

ypu bhave to mulitply each by a percentage, for example, the percentage it says you mulitply it by

The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?
A.70 degrees
B.80 degrees
C.100 degrees
D.90 degrees

Answers

Answer:

90

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+x+10 +x+50 = 180

3x+60= 180

3x = 180-60

3x = 120

Divide by 3

3x/3 = 120/3

x = 40

The largest angle is

x+50

40+50 = 90

We have to,

find the measure of the largest angle.

Given that,

The angles in a triangle are represented by x, x+10, and x+50.

Let's start to solve,

→ x+ (x+10) + (x+50) = 180°

→ x + x + x = 180° (-50-10)

→ 3x = 180° -60

→ 3x = 120

→ x = 120/3

→ [x = 40°]

Then the value of x + 10,

→ x + 10

→ 40 + 10

→ 50°

Then the value of x + 50,

→ x + 50

→ 40 + 50

→ 90°

The measure of the largest angle is,

→ D. 90 degrees

Thus, option (D) is the correct answer.

8. What is the domain and range of the graph below?

Answers

Answer:

Domain: [-5, 4]

Range: [-5, 0] U (2, 4]

Step-by-step explanation:

The domain encompasses whatever the input (in this case, the horizontal values) can be and the range is what the output (in this case, the vertical values) can be.

As shown on the graph, all horizontal values including and between -5 and 4 are used on the graph. It does not matter that they are on two separate lines. Therefore, the domain is [-5, 4]. Note that the closed brackets signify that -5 and 4 are used

The y values used in the bottom line range from -5 to 0, and in the top one they range from 2 to 4 (not including the 2, as shown by the open circle). Therefore, the bottom range is [-5, 0] and the top range is (2, 4]. We can combine these to say the range is [-5, 0] U (2, 4]

20 points Surd question Work out the area of the triangle. ABC

Answers

Answer:

sqrt( 150)

Step-by-step explanation:

it can also be 5sqrt(6)

The solution is,  the area of the triangle. ABC is 10 cm^2.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

from the given diagram, we get,

we have to find the area of the triangle. ABC

now, we have,

using the Pythagorean theorem, we get,

BD = √AB² - AD²

     =√50 - 45

     =√5

now, we know that,

area of triangle = 1/2 * base * height

                          = 1/2 * √5 * 4√5

                          = 10

Hence, The solution is,  the area of the triangle. ABC is 10 cm^2.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

What is the value of x?

Answers

Answer:

Step-by-step explanation:

(2x - 5)° + 45° = 180°

2x - 5 + 45 = 180

x = 70

Martha ran a 3-mile race in 24 minutes. how long does it take her to run 1 mile?

Answers

Answer:

8 minuets

Step-by-step explanation:

24min/3miles = 8

Answer:

8 minutes.

Step-by-step explanation:

If we divide 24 minutes by 3 miles, your answer will be 8 minutes.

What is the L.C.M of 4,6and 3​

Answers

Answer:

12

Step-by-step explanation:

12

For 3, 4 and 6 the smallest number which would be perfectly divisible by them is their LCM which is 12.

Have a nice day!

Answer:

12

Step-by-step explanation:

We want to find the least common multiple of 4,6,3

4:

4,8,12,16,20

6:

6,12,18,24

3:

3,6,9,12,15

The first number that appears in all 3 lists is 12

resolve 3x-1÷(x+1)^2 into partial fraction

Answers

9514 1404 393

Answer:

  3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

  A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

  = (A +B(x +1))/(x +1)^2

Then we require ...

  B = 3

  A +B = -1   ⇒   A = -4

So, the desired expansion is ...

  3/(x +1) -4/(x +1)^2

What is the index of the radical below?
√10

A. 5
B. 9
C. 2
D. 10​

Answers

A because the the radical of 10 is 5 and 2
Answer: Index = 2 Radical = 10

Find the equation of line b in​ slope-intercept form. Line a is parallel to line b. Line a passes through the points (1,8) and (2,-1), line b passes through the point (4,13)

Answers

9514 1404 393

Answer:

  y = -9x +49

Step-by-step explanation:

The slope of line b is the same as the slope of line a. That can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -8)/(2 -1) = -9

The y-intercept can be found from the given point using the formula ...

  b = y - mx

  b = 13 -(-9)(4) = 13 +36 = 49

Then the slope-intercept equation of line b is ...

  y = -9x +49

Find mBFE, help ASAP!!!

Answers

Answer: C

<BFE is 148 degrees

Step-by-step explanation:

We have angles <BFC (57 degrees) and <CFD (34 degrees), but what is <DFE?

1. The angle symbol in the vertexes shows that <BFC is congruent to <DFE, meaning that they are the same

2. Knowing this, we can safely say that <DFE is equal to 57 degrees because <BFC is also 57 degrees.

3. Now, we have all the angles we need to find out <BFE.

4. <BFC+<CFD+<DFE=<BFE

5. Substitute to get

57+34+57=<BFE

91+57=<BFE

148=<BFE

6. Now we know that the answer is 148 degrees.

Which expression represents the total volume of the pictures shown if each cube has a side length of e?

Answers

Answer: I believe that you have to do e^3 to find the volume of a cube.

If you had the side, you would do a^3 (a stands for the side length)

Can anyone help me with this?

Answers

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

4[tex]\sqrt{7}[/tex] - 10[tex]\sqrt{7}[/tex] + 7[tex]\sqrt{7}[/tex] ( add the coefficients of the terms )

= (4 - 10 + 7) [tex]\sqrt{7}[/tex]

= 1[tex]\sqrt{7}[/tex]

= [tex]\sqrt{7}[/tex]

Find the interest on the loan using the Banker's rule. P= $8550. r=8.8%, t= 105 days The interest on the loan using the Banker's rule is $​

Answers

The answer is $9474 because if you add p with r and multiple it by t you get 9474
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