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Iteru [2.4K]
3 years ago
15

Match each number set with the most accurate definition.

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Natural numbers: from 1 upwards

Whole numbers: from 0 upwards

Integers: ...-3, -2, -1, 0, 1, 2, 3, ...

Rational numbers: fractions between two integers

Irrational numbers: can't be written as fraction between two integers

Real numbers: either can or cannot be written as fraction between two integers


These are all definitions, so there really isn't much to explain..They are just names we've given to these sets!

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The number of trees in garden discrete or continous
lana [24]

Answer:

The number of trees in a garden is discrete because you can count them easily.

Step-by-step explanation:

Discrete= The amount of something that is counted.

Continuous= Something that has to be measured.

Hope that helps. x

4 0
2 years ago
Find x. Then find the measure of angles A, B and C.
mafiozo [28]

Answer:

x= 11

A=59

B= 37

C = 84

Step-by-step explanation:

A triangle adds up to 180 °.

So the equation will be a °+ b° + c° = 180°

Next, you combine like terms.

6x + 3x + 9x+4-15-7 = 180\\18x-18=180

Then inverse operation,

18x-18=180\\18x=198\\x=11

After to get a, b, and c you just need to plug in x.

6(11)-7=a\\3(11)+4 = b\\9(11)-15=c

4 0
3 years ago
A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea
erma4kov [3.2K]

Answer:

the volume of the sphere is

33.51 in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v =   64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

v= l*b*h

v=l^{3}

64= l^{3}

l= \sqrt[3]{64}

l= 4 in

also diameter d=length l

Diameter d=  4in

Radius r =  \frac{d}{2}= \frac{4}{2}= {2 in}

Height h=4in

we know that the volume of a sphere is given by

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

substituting into the formula we have

v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}

8 0
2 years ago
Can anybody help me with number 20....just number 20 plz?....thank u
MatroZZZ [7]
The property used in #20 was called 'the distributive property'.

This property gets rid of the parenthesis and also gets the expression more simple. 

x(y+b)
x*y + x*b              ⇔ Notice the change here? 

Answer would be: Distributive property 

6 0
3 years ago
genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

6 0
3 years ago
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