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2 years ago

The sum of two number is 1000 and the difference between their square is 256000 find the numbers.

Mathematics

1 answer:

Leto [7]2 years ago

8 0

Answer:answer it yourself

Step-by-step explanation:

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The sum of two numbers is 39 and the difference is 3. What are the numbers?

frosja888 [35]

Answer: 21 & 18

Step-by-step explanation:

Sum of two numbers is 39

Difference is 3

Let the numbers be x & y

X+y=39........equation 1

X-y=3...........equation 2

X=3+y............equation 3

Substitute equation 3 into equation 1

(3+y)+y=39

3+y+y=39

3+2y=39

2y=39-3

2y=36

Y=36/2

Y=18

Substitute for y in equation 2

X-y=3

X-18=3

X=3+18

X=21

The two numbers are 21 & 18

8 0

3 years ago

Suppose that we are testing a coin to see if it is fair, so our hypotheses are: H0: p = 0.5 vs Ha: p ≠ 0.5. In each of (a) and (

aleksley [76]

Answer:

$H_0: p = 0.5\\H_a: p \neq 0.5$

a. We get 56 heads out of 100 tosses.

We will use one sample proportion test

x = 56

n = 100

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{56}{100}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$

= $1.2$

refer the z table for p value

p value = 0.8849

a. We get 560 heads out of 1000 tosses.

We will use one sample proportion test

x = 560

n = 1000

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{560}{1000}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}$

= $3.794$

refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

6 0

2 years ago

What (3×5^2)/(5)^2 equal? Plz answer fast and with work and I will give brainliest

balu736 [363]

Answer:

The answer is 3.

Step-by-step explanation:

Given that the Indices Law is,

${a}^{m} \div {a}^{n} = {a}^{m - n}$

${a}^{0} = 1$

So the expression is :

$3 \times {5}^{2} \div {5}^{2}$

$= 3 \times {5}^{2 - 2}$

$= 3 \times {5}^{0}$

$= 3 \times 1$

$= 3$

4 0

3 years ago

Vertex: ( 2 , 0 ) , Passes through: ( 5 , − 18 )

NemiM [27]

Answer:

2>0 5>-18

Step-by-step explanation:

8 0

2 years ago

-4 > x - 3 find x in the equation

dimulka [17.4K]

Answer:

X= -1

Step-by-step explanation:

8 0

2 years ago

The sum of two number is 1000 and the difference between their square is 256000 find the numbers.​

The sum of two number is 1000 and the difference between their square is 256000 find the numbers.