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Masteriza [31]
3 years ago
6

A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and th

e shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.
Mathematics
1 answer:
Sedaia [141]3 years ago
3 0
The formula for finding the area of a trapezoid is: sum of bases*height*1/2
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.

Check:
119+65=184
184*61.5=11316
11316*1/2=5658
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Y=3x-8 in function notation
julia-pushkina [17]

To write it in function notation you'll convert it into a function, substituting y by f(x):


y = 3x - 8 = f(x) = 3x - 8



Hope it helped,



BioTeacher101

3 0
3 years ago
A farmer has 4 horses, 3 pigs and 7 cows.Whatis the probability of randomly selection a pig?
shutvik [7]

Answer:

3/14 or 21.428571428571%

Step-by-step explanation:

First you should add all of the animals together.

3 + 4 + 7 = 14

3 out of 14 animals are pigs.

5 0
3 years ago
Read 2 more answers
If you ran exactly one mile, how many feet did you run
elena-s [515]

Solution:

we have been asked to find

If you ran exactly one mile, how many feet did you run.

It mean , we will have to convert miles in feet.

As we know that

1 mile is equivalent to 5280 feet.

Hence , we can use this conversion to get the exact value of miles in feet.

If you ran exactly one mile,it mean you ran exactly for 5280 feet.


4 0
3 years ago
Read 2 more answers
A. In the standard normal and t distributions, the 95% confidence multiplier is equal to the ________ 1-sided critical value.
valkas [14]

Answer:

a. 1.645 multiplier = 5% critical value

b. 95

Step-by-step explanation:

Note that in statistical analysis probability principles are often used. The critical value from the critical region indicates whether the statistician should reject or accept the null hypothesis.

Note that the confidence multiplier is a constant that shows the number of standard deviations in a normal curve; the  deviation standard<em> implies the measure of difference between the observed value of a variable and some another value.</em>

5 0
3 years ago
An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio
Lena [83]

Answer:

The  width is  w = \$ 729.7

Step-by-step explanation:

From the question we are told that

   The population standard deviation is  \sigma =  \% 1,000

    The  sample size is  n  = 50

    The sample mean  is  \= x  =  \$ 15,000

Given that the confidence level is  99% then the level of significance is mathematically represented as  

               \alpha  =  100 - 99

=>            \alpha  =  1\%

=>             \alpha  = 0.01

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is

             Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } =  2.58

Generally margin of error is mathematically represented as

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

substituting values

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

               E = 364.9

The width of the 99% confidence interval is mathematically evaluated as

         w = 2 * E

substituting values

          w = 2 * 364.9

          w = \$ 729.7

5 0
3 years ago
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