Which expression’s product is modeled by the tiles? A. (x + 1)(x + 3) B. x(x + 3) C. 3(x + 1) D. (3x + 1)(x + 1)

<img src="https://tex.z-dn.net/?f=5%20%7Bx%7D%5E3%20-%2020%20%7Bx%7D%5E%7B2%7D%20%3D%200" id="TexFormula1" title="5 {x}^3 - 20 {

adell [148]

$5x^{2} \times (x - 4) = 0 \\ x^{2} \times (x - 4) = 0 \\ {x}^{2} = 0 \: x = 0 \\ x - 4 = 0 \: x = 4$

7 0

3 years ago

Amira bought 3.34 lbs. of grapes at $0.67 per pound. How much money did she spend?

Andreas93 [3]

Answer:

$2.24

Step-by-step explanation:

you multiply 3.34 and 0.67 then you round

8 0

3 years ago

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Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence inte

Georgia [21]

Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as

$\alpha = 1-0.90$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the standardized normal distribution table. The values is $Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining critical values for $\frac{\alpha }{2}$ instead of that of $\alpha$ is because $\alpha$ represents the area under the normal curve where the confidence level 1 - $\alpha$ (90%) did not cover which include both the left and right tail while $\frac{\alpha }{2}$ is just considering the area of one tail which is what we required calculate the margin of error