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liberstina [14]
3 years ago
10

Nylan robotics has a budget of 99.00 to buy sprockets axles and gears. If they spend 2/3 of the budget on sprockets how much mon

ey from the budget remains to buy axles and gears
Mathematics
2 answers:
grin007 [14]3 years ago
8 0

99*1/3=33

so 2/3=66

so 33 dollars remain

insens350 [35]3 years ago
8 0

Answer:

$33.00

Step-by-step explanation:

Nylan robotics has a budget to buy sprockets axles and gears = $99.00

They spend \frac{2}{3} of the budget on sprockets = \frac{2}{3}\times 99

                                              = \frac{198}{3}

                                              = $66

They spend $66 on sprockets.

Now the money remains = 99 - 66 = $33.00

They remains $33.00 to buy axles and gears.

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Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55

Construct a 95% confidence interval estimate for the population mean force as follows:

CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}

    =1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

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