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3 years ago

Question 1 (Multiple Choice Worth 5 points)

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Uurcrcucrvurctuccecuwxrve

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To get to the top of the mountain, Charlie drove 6 miles east and 8 miles south. Then he hiked the rest of the way to the top wh

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3 years ago

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Which ordered pair is a solution of the equation?

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Step-by-step explanation:

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3 years ago

An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th

Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

$\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09$

(2)

As the population standard deviation is provided, i.e. σ = 256 psi, the z value would be appropriate.

The z value for α = 0.09 is,

z = 1.69

(3)

Compute the 91% confidence interval as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$=3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)$

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

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2 years ago

If cot theta= 4/3, find csc theta

Marrrta [24]

Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

$csc^2\theta=cot^2\theta+1$

Knowing that $cot\theta=\frac{4}{3}$ :

Substitute it into $csc^2\theta=cot^2\theta+1$ :

$csc^2\theta=(\frac{4}{3})^2+1$

Simplify the expression:

$csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}$

Solve for $csc\theta$ . Apply square root at both sides of the expression:

$\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}$

$csc\theta=\frac{5}{3}$

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2 years ago

Latrell took one of his friends out to lunch. The lunches cost $60 and he paid 5% sales tax. If Latrell left a 15% tip on the $6

VladimirAG [237]

Answer:

$72

Step-by-step explanation:

Cost of the lunch = $60

Sales tax = 5% of $60

= 5/100 × 60

= 0.05 × 60

= $3

Tip = 15% of $60

= 15/100 × 60

= 0.15 × 60

= $9

how much in total did he pay?

Total amount paid = cost of the lunch + sales tax + tip

= $60 + $3 + $9

= $72

Latrell paid $72 in total for the lunch

4 0

3 years ago