Which symbol replaces ? To make the statement true?

I need help understanding square roots

Vlad [161]

I wonder if you mean to write $\sqrt[3]{256}$ in place of $3\sqrt{256}$ ...

If you meant what you wrote, then we have

$\sqrt{256}=\sqrt{16^2}=16$

$3\sqrt{256}=3\cdot16=48$

If you meant to write $\sqrt[3]{256}$ (the cube root of 256), then we could go on to have

$\sqrt[3]{256}=\sqrt[3]{16^2}=\sqrt[3]{(4^2)^2}=\sqrt[3]{4^4}=\sqrt[3]{4^3\cdot4}=4\sqrt[3]4$

6 0

3 years ago

For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12

sleet_krkn [62]

Answer: p = 6

Step-by-step explanation:

HI !

px + 3y - ( p-3)=0

a₁ = p , b₁ = 3 , c₁ = - (p-3)

=====================

12x + py - p=0

a₂ = 12 , b₂ = p , c₂ = -p

since , the equations have infinite solutions ,

a₁/a₂ = b₁/b₂ = c₁/c₂

p/12 = 3/p = p-3/p

--------------------------------------

p/12 = 3/p

cross multiply ,

p² = 36

p = √36

p = 6

for the value of p = 6 , the equations will have infinitely many solutions

5 0

2 years ago

Working conditions in the United States in the early 1900's can best be described as?

Dmitry_Shevchenko [17]

Working conditions in the United States in the early 1900’s can best be described as atrocious.

6 0

2 years ago

Read 2 more answers

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

EleoNora [17]

Answer:

Option C is the correct option.

Step-by-step explanation:

$f(x) = a {x}^{2} + bx + c$

Discriminant = ${b}^{2} - 4ac$

Given d = 15

When discriminant D > 0 --> roots are real and distinct. ( unequal )

So , ${3}^{rd}$ option has real and distinct roots.

Hope this helps..

Best regards!!

4 0

3 years ago

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

$\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}$

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

$CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack$

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

$CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack$

Where (from tables):

$Z_{0.99}=2.33$

Finally, the interval at 98% confidence level is:

$CI(\mu)=\lbrack28.94,31.06\rbrack$

4 0

9 months ago