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svetoff [14.1K]
3 years ago
5

As the minute hand of a large clock forms an angle of 52, the end of the minute hand traverses a distance of 23.5 inches. find t

he length of the minute hand.
Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

The minute hand when moving is swiping a sector

The arc length is given 23.5 inch the angle swiped is 52 degree

we have to find radius

length of arc = 2pi r( theta )/360

23.5 = 2* 3.14 * r ( 52/360)

23.5 = r(0.907)

r= 23.5/ 0.907

r=25.90 inches Answer

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A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If
musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

Then, the null and alternative hypothesis are:

H_0: \pi\leq0.50\\\\H_a: \pi>0.5

The sample proportion is p=0.53

p=X/n=438/827=0.53

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.5*0.5}{827}}= 0.017

Then, the z-statistic can be calculated as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

4 0
3 years ago
The perimeter of the square at the left is 48 inches
andrey2020 [161]
The perimeter of the square is 48

There are 4 equal-length sides to the square, making each side 12 in. in length

to find the area, multiply two sides of the perimeter

12 x 12 = 144

Perimeter: 48
Side: 12
Area: 144

hope this helps
8 0
3 years ago
Helpppppppppppppp ASAP helppp
lys-0071 [83]

Answer:

You can use a calculator to find all the tan, sin, cos values! Simply enter the number, for example, 52, then press the tan button! For question d, you are finding what number that decimal is the tangent of. Press the 2nd function on your calculator, and you can see that -1 beside the tan. Enter the decimal then use that button to find the reverse tangent.

tan52 = 1.2799

sin19 = 0.3256

cos34 = 0.8290

tan-1(0.9876) = 44.6426

To solve the conveyor belt problem, you'll have to use the sine of 15. (remember, sine = opposite/hypotenuse). Set up an equation:

sin15 = ?/12m

Use a calculator to find sin15, then you can solve it like algebra.

sin15 = ?/12m

sin15*12m = ?

0.2588*12m = ?

3.1056m = ?

Hope this helped :)

7 0
3 years ago
Please ineed help --------------------
a_sh-v [17]

Answer:

9 × 5= 45 .Frankie has 9 nickles.

Step-by-step explanation:

Because 5 divided by 45 equals to 9.

4 0
3 years ago
7. What is the approximate distance between points (-2,-1) (-5,-4)
aleksley [76]

Answer:

Step-by-step explanation:

D=√((-5+2)²+(-4+1)²)=√(9+9)=3√2≈4.24

8 0
3 years ago
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