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mezya [45]
3 years ago
11

5. Write down at least five number pairs to solve the equation (r - 2)(s + 1) = 100.

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Answer:

<h2>1. (52 - 2) (1 + 1) = 100</h2><h2>2. (12 - 2) (9 + 1) = 100</h2><h2>3. (6 - 2) (24 + 1) = 100</h2><h2>4. (3 - 2) (99 + 1) = 100</h2><h2>5. (102 - 2) (0 + 1) = 100</h2>

Step-by-step explanation:

<h3>1. let r= 52 and s= 1</h3><h3>(52 - 2) (1 + 1) = 100</h3><h3>50 × 2 = 100</h3><h3 /><h3>2. let r= 12 and s= 9</h3><h3>(12 - 2) (9 + 1) = 100</h3><h3>10 × 10 = 100</h3><h3 /><h3>3. let r= 6 and s= 24</h3><h3>(6 - 2) (24 + 1) = 100</h3><h3>4 × 25 = 100</h3><h3 /><h3>4. let r= 3 and s= 99</h3><h3>(3 - 2) (99 + 1) = 100</h3><h3>1 × 100 = 100</h3><h3 /><h3>5. let r= 102 and s= 0</h3><h3>(102 - 2) (0 + 1) = 100</h3><h3>100 × 1 = 100</h3>

\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}

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The triangular prism below has a base area of 28.7 units² and a height of 11 units.
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The volume of the triangular prism is 315.70 units³.

<h3>What is the volume?</h3>

A triangular prism is a three-dimensional shape that has a triangular base.

Volume =base area x height

28.7 x 11 = 315.70 units³

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2 years ago
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3 years ago
in a test of effectiveness of garlic for lowering cholesterol, 45 subjects were treated with garlic in process tablet form. chor
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Answer:

Step-by-step explanation:

(a)

The sample statistic which is estimated by the population parameter is the sample mean. Moreover it is the best estimate for the population mean.From the information, it is clear that  

The sample mean is the best point estimate for the population mean. This clearly indicates that the best point estimate for the population mean is 5.1mg/dl.

(b)

From the information, it is clear that  \bar x = 5.1,\,s = 16.7,\,n = 45    

The degree of freedom is obtained below:

df = n - 1\\\\ = 45 - 1\\\\ = 44  

From “Student’s-t Distribution Table”, the required critical value is 2.704 which is lesser than the critical value.

The 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment is,

{\rm{Confidence}}\,{\rm{interval}} = \bar x \pm {t_{\frac{\alpha }{2},n - 1}}\left( {\frac{S}{{\sqrt n }}} \right)\\\\ = 5.1 \pm {t_{\frac{{0.01}}{2},45 - 1}}\left( {\frac{{16.7}}{{\sqrt {45} }}} \right)\\\\ = 5.1 \pm \left( {2.704} \right)\left( {2.4895} \right)\\\\ = 5.1 \pm 6.7316\\

= \left( {5.1 - 6.7316,5.1 + 6.7316} \right)\\\\ = \left( {-1.6316,11.8316} \right)  

(c)

From the information, it is clear that the cholesterol levels were measured and identified whether the garlic treatment affects the LDL cholesterol levels or not.

It is clear that, the 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment is \left( {-1.6316,11.8316} \right) . By the rejection rule for the confidence interval it is clear that the confidence interval contains 0 which clearly states that the garlic treatments do affect the LDL cholesterol levels.

3 0
3 years ago
Read 2 more answers
A circular flower bed is 23 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk
kiruha [24]

Answer:  244.92 m

Step-by-step explanation:

The area of a circle is pir^2. First you will need to find the area of the concrete and subtract the area of the flower bed from that amount. The concrete is 3 feet wide so you will add that to 11.5 (half of the flower bed diameter) to find the radius. 14.5^2 pi is the entirety of the area. Then subtract 11.5^2 pi for the area of the concrete.

8 0
3 years ago
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Answer:

Commutative property

Step-by-step explanation:

This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.

(4)(2) = 8

(2)(4) = 8

7 0
3 years ago
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