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nika2105 [10]
3 years ago
9

3. Find BD in the following diagram. BD=

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:  BD = 28

<u>Step-by-step explanation:</u>

BC = 21, CD = 7             Given

BC + CD + BD                Segment Addition Postulate

21 + 7 = BD                     Substitution

28 = BD                          Add Like Terms

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Raj studied for4/7of an hour,while ram studied for 5/8 of an hour.who studied for longer time
Ksivusya [100]

Answer:

Ram studied for longer time

Step-by-step explanation:

An hour = 60 minutes

Raj studied for 4/7 of an hour

= 4/7 of 60 minutes

= 4/7 × 60

= (4×60)/7

= 240/7

= 24.29 minutes

ram studied for 5/8 of an hour

= 5/8 of 60 minutes

= 5/8 × 60

= (5×60)/8

= 300/8

= 37.5 minutes

who studied for longer time?

Ram - Raj

= 37.5 - 24.29

= 13.21 minutes

Ram studied for longer time

Ram studied 13.21 minutes longer than Raj

5 0
3 years ago
The function C(x) = 12x + 600 represents the cost to produce x number of items. How many items should be produced
Svetllana [295]

Answer: x= 50

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A random sample of the costs of repair jobs at a large muffler repair shop produces a mean of $127.95. and a standard deviation
lubasha [3.4K]

Answer:

127.95-1.685\frac{24.03}{\sqrt{40}}=121.55    

127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35    

So on this case the 90% confidence interval would be given by (121.55;134.35)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=127.95 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=24.03 represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=40-1=39

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,39)".And we see that t_{\alpha/2}=1.685

Now we have everything in order to replace into formula (1):

127.95-1.685\frac{24.03}{\sqrt{40}}=121.55    

127.95 +1.685\frac{24.03}{\sqrt{40}}=134.35    

So on this case the 90% confidence interval would be given by (121.55;134.35)    

8 0
3 years ago
The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
Vedmedyk [2.9K]
Sorry I'm not too sure but I know that you can probably find it using this formula:
Area = (1/2)(a)(b)(sin(C)) with C being the angle in the middle of both lines a and b in a triangle

Since a rhombus is pretty much two similar triangles....
Area = ((1/2)(6)(6)(sin6)) x 2
should give you the exact area

Sorry that I couldn't give an exact answer, I'm not too sure what in is because we were probably not taught the same things. Does it mean inch or is it supposed to be Ln? Anyways, whatever it means, maybe you could calculate each option's value and see which one is the same answer as the calculation I talked about above?
4 0
3 years ago
Read 2 more answers
Evaluate 3ab for a = 2 and b = 3.
madreJ [45]

Answer:

18

Step-by-step explanation:

a = 2

b = 3

3x(2)x(3)=18

7 0
3 years ago
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