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Molodets [167]
2 years ago
12

A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9

Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0
9 + x > (equal to or greater than) 15
6 more students need to sign up because 15-9=6
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A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible length
VladimirAG [237]

Answer:

The possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Step-by-step explanation:

We are told the above Triangle is not an Isosceles Triangle

Hence, we assume it is a right angle triangle

The area of a triangle is = 1/2 × Base × Height

= let us represent Base and Height = x

Hence:

1/2 × x × x = 98

x² /2 = 98

Cross Multiply

x² = 98 × 2

x² = 196

Step 2

We find the factors of 196

1× 196 = 196 (1, 196)

2 × 98 = 196 (2, 98)

4 ×49 = 196 (4, 49)

7 × 28 = 196 (7, 28)

Therefore, all the possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

4 0
2 years ago
A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e
ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

  • Sample mean = \overline{x}
  • Sample size = n
  • Population mean = \mu
  • Sample standard deviation = s

Then, we get:

z = \dfrac{\overline{x} - \mu}{s}

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

s = \dfrac{\sigma}{\sqrt{n}}

where \sigmapopulation standard deviation

For this case, we're specified that:

  • Sample mean = \overline{x} = 2.3
  • Sample size = n = 15
  • Population mean = \mu  = 2.7
  • Population standard deviation = \sigma = 0.4

Thus, the value of the z-statistic is evaluated as:

z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

6 0
2 years ago
3 1/3 divided by 2/3<br><br> pls help me!!!! im stuck and pls show your work!
Vedmedyk [2.9K]
The answer would be 2 1/3 or 2.3 repeating or 7/3
8 0
3 years ago
Read 2 more answers
There are 4 red and 6 green marbles in a jar. What is the probability of drawing two green marbles, with replacement?
quester [9]

Answer:

3/5

Step-by-step explanation:

4+6=10

6/10=3/5

3 0
3 years ago
A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is t
jonny [76]

Answer:

576 cm²

Step-by-step explanation:

Given:

Number of sections in a suncatcher (n) = 6

Each section is in the shape of a parallelogram.

Base of parallelogram = 12 cm

Height of parallelogram = 8 cm

Now, area of a parallelogram is given as:

Area of parallelogram = Base × Height

Area of 1 parallelogram = 12 cm × 8 cm = 96 cm²

Now, there are 6 parallelogram shaped sections.

So, area of the sections = area of 1 section × total number of sections

∴ Area of 6 sections = 96 cm² × 6 = 576 cm²

Therefore, the total area of the sections of a suncatcher is 576 cm².

5 0
2 years ago
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