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harina [27]
3 years ago
9

A sauna has an initial temperature of 80° If the opening to the sauna is left open, and the temperature therefore decreases by 3

% every minute, what is the temperature of the sauna after 210 seconds?
Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

71.6°

Step-by-step explanation:

=210s÷60s(1 minutes)

=3.5mins

=3.5mins×3%(=1min)

=10.5%

=100%-10.5%

=89.5%

=89.5%/100×80°

=71.6°

Hope this will help ya!

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What is the median of the data set? History Test Scores 5 0 8 6 5 6 8 9 7 0 3 5 8 8 0 6 7 7 7 9 0 1 3 5 6 8 9 9 5 0 = 50 points
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The median is 6

Step-by-step explanation:

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Find the slope of the line 5x-2y=10A. 2/5B. -5C. -2/5D. 5/2
sammy [17]

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Find the sum of the given series up to the 100th term: 3 + 8 + 13 + 18 +......
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3 years ago
The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49
Morgarella [4.7K]

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

<u>4               4                      6.8                -2.8                  7.84         1.96       </u>

<u>∑             170                    188.7                                                  χ²= 12.43  </u>

<u />

The critical region is <u>χ</u>²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

<u>χ</u>²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.

6 0
3 years ago
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