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sergiy2304 [10]
3 years ago
5

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

60

Step-by-step explanation:

to find w:

sin(44) = w/30

w = 30sin(44)

w = 20.8 to 1 decimal place

to find x;

cos(x) = 20.8/45

x = cos^{-1}(20.8/45)

x = 62.46940334

x = 60

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A national study, that revealed a normal distribution, revealed that the average time a student spends studying statistics on a
Neporo4naja [7]

Answer:

Null hypothesis = H0 : μ = 60

Alternative hypothesis = H1 : μ < 60

Step-by-step explanation:

From the question given :

μ = 60 minutes

xbar = 44.27 minutes

s = 20.4 minutes

The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)

The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.

The hypothesis are :

H0 : μ = 60

H1 : μ < 60

5 0
2 years ago
What is the measure of RPQ
patriot [66]

Answer:

239

Step-by-step explanation:

SP is the diameter so Arc RP is supplementary to Arc SR

31 + x = 180

x = 149

Arc PQ is supplementary to Arc SQ so

90 +  x = 180

x = 90

Arc Addition:

149 + 90 = 239

8 0
3 years ago
2/10 (4/5)-(5/2)+ (10)
Dima020 [189]

Answer:

2/10 (4/5)-(5/2)+ (10)=7.66

7 0
3 years ago
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Kray sells personalized photo frames. She charges $12 for the frame plus $0.25 for each letter the customer wants to engraved on
VARVARA [1.3K]

Answer:

c=0.25n+12

Step-by-step explanation:

6 0
3 years ago
$40,000 is invested at a rate of 5.7% that is compounded semiannually.
Misha Larkins [42]

Answer:

$$78760.00

Step-by-step explanation:

You want to calculate the interest on $40000 at 5.7% interest per year after 17 years.

The formula we'll use for this is the simple interest formula, or:

I=P*r*t

Where:

  • P is  principal amount, $40,000
  • r is the interest rate, 5.7% per year, or in decimal form, \frac{5.7}{100} =0.057
  • t is the time involved, 17 years

To find the simple interest we multiply 40000*0.057*17 to get

The interest rate is  $38,760

Usually now, the interest is added onto the principal to figure some new amount after 17 years.

or 40000.00 + 38760.00 = 78760.00

=$78,760

4 0
3 years ago
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