A student claims that 3√80 is in the simplest radical form. Which statement is true?

The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original n

muminat

Answer:

Original number is 47

Step-by-step explanation:

Given: The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121.

To find: the original number

Solution:

Let x denotes digit at ones place.

As the tens digit is three less than the units digit,

Digit at tens place = $x-3$

Original number = $10(x-3)+x=11x-30$

When digits are reversed,

Reversed number = $10x+(x-3)=11x-3$

As the sum of the reversed number and the original number is 121,

$11x-30+11x-3=121\\22x-33=121\\22x=154\\x=\frac{154}{22}\\=7$

So,

original number = $11x-30=11(7)-30=77-30=47$

8 0

3 years ago

Does anyone have any good time management strategies/tips they could share with me? I have ADD and I’m struggling rn. Any help i

solniwko [45]

Answer:

First do what is important it could be either homework, work, or chores etc...

Set a time limit to each of those don't take to long on one of them unless you have to

Lastly have fun on your free time, do what you would like to do that part is up to you

Hope this helped

8 0

3 years ago

What two numbers multiplied equal 2048

kap26 [50]

There is more than one answer, but one could be:
1024, 2.

5 0

3 years ago

Media experts claim that daily print newspapers are declining because of Internet access. Listed below, from left to right and

yKpoI14uk [10]

Answer:

(a) The median is 1478

(b) Null hypothesis H₀ : μ₁ = μ₂

Alternative hypothesis Hₐ : μ₁ > μ₂

(c) The test statistic $t_{\alpha/2}$ is 6.678155

(d) The p value is 1.2×10⁻¹¹

(e) We reject our null hypothesis H₀. In terms of the test, there is sufficient evidence to suggest that there is a trend in the numbers of daily newspaper because the probability for a decrease in the numbers is very high

Step-by-step explanation:

(a) Here we have the data as follows;

1623 1586 1574 1554 1544 1531 1519 1513 1491 1484 1478 1471 1458 1456 1458 1453 1438 1428 1405 1395 1377

The median is = 1478

Therefore we have above the median

1623 1586 1574 1554 1544 1531 1519 1513 1491 1484

The mean, $\bar{x}_{1}$ = 1541.9

Standard deviation, σ₁ = 41.38224257

n₁ = 10

Below the median

1471 1458 1456 1458 1453 1438 1428 1405 1395 1377

The mean, $\bar{x}_{2}}$ = 1433.9

Standard deviation, σ₂ = 30.04812806

n₂ = 10

(b) Null hypothesis H₀ : μ₁ = μ₂

Alternative hypothesis Hₐ : μ₁ > μ₂

(c) The formula for t test is given by;

$t_{\alpha/2} =\frac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}$

df = 10 - 1 = 9, α = 0.05

Therefore, the test statistic $t_{\alpha/2}$ = 6.678155

(d) The p value from statistical relations is Probability p = 1.2×10⁻¹¹

Critical z at 5% confidence level = 1.645

Since P << 0.05, e reject the

(e) Therefore, we reject our null hypothesis H₀. In terms of the test, there is sufficient evidence to suggest that there is a trend in the numbers of daily newspaper because the probability for a decrease in the numbers is very high.

5 0

3 years ago

13.3x + 8.1 = 74.6 A. 6.2 B. 6 C. 5 D. 0.5

navik [9.2K]

13.3x + 8.1 = 74.6

C. 5

7 0

3 years ago

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