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3 years ago

7

Al's Rentals charges $25 per hour to rent a sailboard and a wetsuit. Wendy's Rentals

1 answer:

zhuklara [117]3 years ago

4 0

Answer:

x=3

Step-by-step explanation:

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The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and th

Alex777 [14]

Answer:

The correct option is b) 4.71

Step-by-step explanation:

Consider the provided information.

Test statistic for proportion: $z=\frac{\hat p-p}{\sqrt{\frac{pq}{n}}}$

It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.

Therefore, $\hat p=0.15$ , p = 0.1, q = 1-0.1 = 0.9 and n = 800.

Substitute the respective values in the above formula.

$z=\frac{0.15-0.1}{\sqrt{\frac{0.1\times0.9}{800}}}$

$z=\frac{0.05}{\sqrt{\frac{0.09}{800}}}$

$z\approx4.71$

Hence, the correct option is b) 4.71

3 0

3 years ago

Find the function value. tan495°

inysia [295]

Answer: -1

Step-by-step explanation:

You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°

Tangent is equal to $\frac{sin(theta)}{cos(theta)}$ , we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

$sin135=\frac{\sqrt{2} }{2}$

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

$cos135=-\frac{\sqrt{2} }{2}$

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

$\frac{\sqrt{2} }{2} *-\frac{2}{\sqrt{2} } =-\frac{2\sqrt{2} }{2\sqrt{2} } =-1$

7 0

3 years ago

Read 2 more answers

2,236.8 to the nearest ten

german

Answer:

Already rounded to the nearest tenth.

2236.8

Step-by-step explanation: k

6 0

3 years ago

Read 2 more answers

What is the solution to y=3/7x -1?

DedPeter [7]

Every point on the line 3/7x -1 is a solution

Unless there is another line provided...

6 0

3 years ago

A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s

Annette [7]

Answer:

The number of clarinets musical store sold was 16. and number of trumpets musical store sold was 11.

Step-by-step explanation:

Let the musical store sells 'x' number of trumpets and 'y' number of clarinets.

According to question,

Total number of trumpets and clarinets sold is 27 that is

$x+y=27$ ..............(1)

Also given Trumpets cost $149 and clarinets cost $99.

then the shop sold x trumpets for $149x and sold y clarinets for $99y and total sales were $3233.

thus, $149x+99y=3233$ ...........(2)

Solving for equation (1) and (2),

Multiply equation (1) by 149 , we get

(1) ⇒ $149x+149y=4023$ ........(3)

Now, subtract equation (3) from equation (2) , we get

$149x+149y-(149x+99y)=4023-3233$

$\Rightarrow 149x+149y-149x-99y=790$

$\Rightarrow 149y-99y=790$

$\Rightarrow 50y =790$

$\Rightarrow y =\frac{790}{50}=15.8$

Thus, number of clarinets musical store sold was 15.8 but since clarinets are to be in whole number rounding off to the nearest integer 16.

and put y = 16 in (1) , we get

$x+y=27 \Rightarrow x+16=27 \Rightarrow x=27-16=11$

Thus, number of trumpets musical store sold was 11.

4 0

3 years ago