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professor190 [17]
3 years ago
8

Find two numbers whose sum is 39 and the greater number exceeds the smaller one by 5​

Mathematics
1 answer:
Bumek [7]3 years ago
7 0
X : smaller no.
x + 5 : larger no.

x+x+5 = 39
2x+5 = 39
2x = 34
x = 17
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What percent of students spent 35 minutes or more on their homework each night?<br> Whats the IQR?
Crank

Answer:

Double the amount of the ones less than the spike of 35

6 0
3 years ago
Simplify (3 + 6i) – (8 - 5i)<br> Select one:<br> a, -5 + i<br> b. 6<br> C. 16<br> d. -5 + 11i
Korolek [52]

Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

8 0
3 years ago
Read 2 more answers
Which statement is always true?
Marina CMI [18]

Answer:

b) the product of two rational numbers rational

Step-by-step explanation:

A rational number can be defined as a number that has a numerator or a denominator. This means that a rational number exists as a fraction e.g 2/3, 6/7 e.t.c

An irrational number is a number that cannot exist as a fraction or as a ration between two numbers. Irrational number can be expressed in decimal format that continues and keeps continuing.

And example of an irrational number is : √2, √5, √7 e.t.c

We were given 4 options above.

a) the product of two irrational numbers is irrational

The product of two irrational number can give us both a rational number and an irrational number. For example,

√2 × √7 = √ 14 which is an irrational number.

√5 × √5 = √ 25 = 5 which is a rational number.

Therefore Option A is not always true as the product of two irrational number can given both irrational and rational numbers.

b) the product of two rational numbers rational

Option b is always true and this is correct. For example

5× 5 = 25 which is a rational number

5/6 × 1/2 = 5/12 which is a rational number.

c) the sum of two rational numbers is irrational.

Option c is a wrong or false option and statement. This is because the sum of two rational numbers would always give you a rational number and not an irrational number.

For example: 5+ 4 = 9 (rational number)

2/5 + 1/5 =3/5 ( rational number)

Hence option c is a wrong option

d) the sum of an irrational number and a rational number is rational

Option d is an incorrect option and statement.

This is because, the sum of an irrational number and a rational number gives us an irrational number.

For example: 2(rational number ) + √2 (Irrational number) = 3.4142135624(Irrational number)

From the above explanation , we can see and observe that the only correct option and statement that is ALWAYS true is :

Option b) "the product of two rational numbers rational"

3 0
4 years ago
What is slope of the line 15x-3y=90
Dmitry_Shevchenko [17]
The line is not in slope intercept form, so you need to get y by itself

15x -3y = 90

Subtract 15x

-3y = -15x + 90

Divide by -3

y = 5x -30

So, the slope (x) is 5/1.

I hope that helps!
7 0
4 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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