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4 years ago

Which improper fraction is equal to the mixed number number 37/9 A 3 7/9 B 4 1/9 C 4 7/9 D 4 4/9

Mathematics

1 answer:

mezya [45]4 years ago

5 0

9 goes into 37 4 times with 1/9 left over, so the answer is b, 4 1/9

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What is the amount of sales tax owed on a $540 television if the tax rate is 7.5%

egoroff_w [7]

The sales tax can be found through multiplying the total by the decimal form of the given sales tax (7.5=0.075). This operation yields 40.5 or $40.50. I really hope this helps!:)

7 0

4 years ago

Can someone please help me with this logarithm equation!!

enot [183]

Answer:

$\frac{629}{2}$

Step-by-step explanation:

So, our equation is:

$log_5(\frac{2x-4}{5}) = 3$

In exponetial form, this looks like:

$5^3=\frac{2x-4}{5}$

Now lets cube the 5:

$125=\frac{2x-4}{5}$

Next, we can multiply the denominator on the right side by 5:

$625=2x-4$

We need to now get x alone by adding 4 to both sides:

$629=2x$

Finally, we divide by x's coefficent, 2, to get:

$x=\frac{629}{2}$

Hope this helps! :3

6 0

3 years ago

Given a sphere with a diameter of 8 cm , find its volume to the nearest whole number

andrew-mc [135]

Answer:

268

Step-by-step explanation:

6 0

3 years ago

A sample of size 36 from a normally distributed population variable with population standard deviation 20 had a sample mean of 8

Ipatiy [6.2K]

Given the sample mean is $\mu=88$ and population standard deviation is $\sigma=20$ .

Now the standard deviation of the sample mean is $\sigma_X=\frac{\sigma}{\sqrt{n}} =\frac{20}{\sqrt{36}}=3.3333$

The $(1-\alpha )100\%$ confidence interval for population mean is

$\mu_X \pm z_{\alpha /2}\sigma_X$ .

Here $\alpha =0.1,z_{\alpha /2}=-1.645$

The 90% CI for population mean is

$88 \pm 1.645 (3.3333)\\ (82.517,93.483)$

6 0

3 years ago

Question 2 please fas

Len [333]

Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

${x}^{3} + (a + b) {x}^{2} - 4x + 2 \\ = {x}^{3} + 5 {x}^{2} - (2a - b)x + 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2} = 5 {x}^{2} \\ \implies \: a + b = 5.....(1) \\ \\ - (2a - b)x = - 4x \\ 2a - b = 4....(2) \\ \\ adding \: equations \: (1) \: and \: (2) \\ \\ 3a = 9 \\ \implies \: a = \frac{9}{3} \\ \huge \red{ \boxed{\implies \: a = 3}} \\ \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\ \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies b = 2}}$

5 0

4 years ago