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Darya [45]
2 years ago
7

What is the value of x and y?

Mathematics
1 answer:
ladessa [460]2 years ago
5 0

Answer:

x=16 and y=9

Step-by-step explanation:

2y+30=3y+21[Diagonals of parallelogram are equal]

30-21=3y-2y

y=9

3y=2x-5[Diagonals of parallelogram are equal]

3×9=2x-5

27=2x-5

2x=27+5

x=32/2=16

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A maze at a country fair is made from 375 bales of hay.The maze at the state fair is made from 4 times as many bales of hay. How
GuDViN [60]

375 \times 4 = 1500
1500 bales of hay is used at the state fair.
4 0
3 years ago
Is one side of a rectangular fish tank best represented by a point, line, plane, or ray? A. line B. point C. ray D. plane Please
Valentin [98]
D. Plane, because a plane is a side or face of an object. 
Let me know if I am incorrect for any reason. 
Hope this helps!
4 0
3 years ago
In a study of academic procrastination, the authors of a paper reported that for a sample of 471 undergraduate students at a mid
AnnZ [28]

Answer:

95% confidence interval for the mean time spent studying for the final exam for students taking introductory psychology at this university is [6.85 hours, 7.43 hours].

Step-by-step explanation:

We are given that a sample of 471 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.14 hours and the standard deviation of study times was 3.20 hours.

Firstly, the pivotal quantity for 95% confidence interval for the  population mean is given by;

                         P.Q. = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean time spent studying for the exam = 7.14 hours

            \sigma = population standard deviation = 3.20 minutes

            n = sample of undergraduate students = 471

            \mu = population mean time

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                              of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

   = [ 7.14-1.96 \times {\frac{3.20}{\sqrt{471} } } , 7.14+1.96 \times {\frac{3.20}{\sqrt{471} } } ]

   = [6.85 hours , 7.43 hours]

Therefore, 95% confidence interval for the mean time spent studying for the final exam for students taking introductory psychology at this university is [6.85 hours, 7.43 hours].

7 0
3 years ago
Three consecutive integers have a sum of 42
Readme [11.4K]
That would equal a triangle!
5 0
3 years ago
Read 2 more answers
Find the volume of this sphere.<br> Use 3 for TT.<br> V V ~ [?]cm3<br> V = nr3<br> r=6cm
Katen [24]

Answer:

V = 864cm^3

Step-by-step explanation:

Given

r = 6

\pi = 3

Required

The volume of the sphere

This is calculated as:

V = \frac{4}{3} \pi r^3

So, we have:

V = \frac{4}{3} *3 *6^3

V = \frac{4}{3} *3 *216

This gives:

V = 4 *216

V = 864

6 0
3 years ago
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