1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Cloud [144]
2 years ago
10

Currently, a construction company can dig 7.8 meters per hour, but a new tool would let the company dig 2 times as fast. How fas

t would the company be able to dig with the new tool?
Mathematics
1 answer:
Keith_Richards [23]2 years ago
6 0

They would be able to dig 15.6 meters an hour

You might be interested in
The coordinates of △ABC are A(12,8), B(10,18), C(4,16). After a dilation, the coordinates are A'(6,4), B'(5,9), C'(2,8). Find th
melomori [17]

Answer: B  1/2

Step-by-step explanation:

5 0
2 years ago
Find the value of each variable. If you give the decimal value, round to the nearest tenth.
DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2

⇒ 6^2+\text{opposite}^2=12^2

⇒ 36+\text{opposite}^2=144

⇒ \text{opposite}^2=108

⇒ \text{opposite}=6\sqrt3=10.4

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0
3 years ago
The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batterie
Fittoniya [83]

Answer:

The confidence interval is  25.16  < \mu < 26.85

Step-by-step explanation:

From  the question we are given a data set

     25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is  

       \= x  = \frac{\sum x_i}{n}

where is the sample size with values  n =  10

         \= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}

          \= x = 26

The standard deviation is evaluated as

             \sigma  =  \sqrt{\frac{\sum (x-\= x)}{n} }

substituting values

     = \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }

                  \cdot \ \cdot \ \cdot  \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }

     \sigma  =  1.625

The  confidence level is given as 90% hence the level of significance is calculated as

    \alpha  =  100 -90

    \alpha  =10%

   \alpha = 0.10

Now the critical values of \frac{\alpha }{2} is obtained from the normal distribution table as

      Z_{\frac{\alpha }{2} } =  1.645

The reason  we are obtaining  the critical values of \frac{\alpha }{2} instead of  \alpha is because  we are considering two tails of the area under the normal curve

  The margin of error is evaluated as

            MOE =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

           MOE =  1.645 *  \frac{1.625 }{\sqrt{10} }

           MOE = 0.845

The  90%, two sided confidence interval is mathematically evaluated as

           \= x  - MOE  < \mu < \= x  + MOE

           26  - 0.845  < \mu < 26  + 0.845

           25.16  < \mu < 26.85

Given that the lower and the upper limit is greater than  25 then we can assure the manufactures  that the battery life exceeds 25 hours

5 0
3 years ago
#15 &amp; #16 please thanks
-BARSIC- [3]

Answer:

15. 122.49  16.13.17

Step-by-step explanation:

6 0
3 years ago
In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 poin
Y_Kistochka [10]

Answer:

c. 30x+80y-15z.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the best to buy?
    8·1 answer
  • How to do: -8(1-a)=-7-(1-3a)
    12·1 answer
  • Find the missing side to the triangle in the attached image.
    6·2 answers
  • A fence must be built to enclose a rectangular area of 20,000 ftsquared. fencing material costs $ 1 per foot for the two sides f
    15·1 answer
  • 2. What is the experimental probability of rolling a 4
    10·2 answers
  • A line passes through points (2,5) and (5, 14). What is the slope of this line?
    14·1 answer
  • In the children’s game Don’t Break the Ice, small plastic ice cubes are squeezed into a square frame. Each child takes a turn ta
    14·1 answer
  • The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is
    13·1 answer
  • _384<br> What is the square root of 384
    9·2 answers
  • Write a Pythahorean triplet whose one memeber is -
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!