All categories

2 years ago

ASAP 100 POINTS, WILL MARK BRAINLIEST, should be a whole number

Mathematics

1 answer:

rosijanka [135]2 years ago

8 0

Answer:

$x=2.$

Step-by-step explanation:

$\text{Since Pythagoras Theorem, we have}\\10^2=x.(x+48)\\\Rightarrow x^2+48x=100\\\Rightarrow x^2+48x-100=0\\\Rightarrow x^2 -2x+50x-100=0\\\Rightarrow x.(x-2)+50.(x-2)=0\\\Rightarrow (x-2).(x+50)=0\\\Rightarrow x=2 \: \text{or} \: x=-50.\\\text{Since x is positive}\\\text{Therefore}, x=2.$

You might be interested in

Five more than three times a number is three hundred five.Find the number

Sholpan [36]

Answer:

Step-by-step explanation: trust me i have had the before

7 0

3 years ago

What is the missing term in the quadratic expression below?<br><br> (2x-3)(x-4)=2x^2+____ -12

cupoosta [38]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

When Angela was born, her grandparents deposited $2,500 into a college savings account paying 3% interest compounded CONTINUOUSL

Kitty [74]

Answer:

akhavkreugvakrehfgv

Step-by-step explanation:

5 0

3 years ago

Let f(x)=x^2-5x+8 and g(x)=x^2-4 (f-g)(x)=

Bogdan [553]

What you do here is subtract g from f: x^2 - 5x + 8 - (x^2 -4); x^2 - 5x + 8 - x^2 + 4; Rearranging gives you x^2 - x^2 - 5x + 8 + 4 which is, simplified, -5x + 12

8 0

3 years ago

The sodium content of a popular sports drink is listed as 200 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample me

julia-pushkina [17]

Answer:

The sample does not contradicts the manufacturer's claim.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 200 mg

Sample mean, $\bar{x}$ = 211.5 mg

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 18.5 mg

a) First, we design the null and the alternate hypothesis for a two tailed test

$H_{0}: \mu = 200\\H_A: \mu \neq 200$

We use Two-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{211.5 - 200}{\frac{18.5}{\sqrt{20}} } = 2.7799$

c) Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = \pm 2.0930$

Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.

Thus, the sample does not contradicts the manufacturer's claim.

d) P-value = 0.011934

Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.

Yes, both approach the critical value and the p-value approach gave the same results.

4 0

3 years ago