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kotykmax [81]
4 years ago
12

Which expression is equivalent to -51 - (-60)?

Mathematics
1 answer:
iVinArrow [24]4 years ago
3 0
I believe the answer is -51+60 because it equals -9. And -51-(-60) is 9.
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A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple ra
Triss [41]

Answer:

there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

Step-by-step explanation:

H0 : μw = μm

H1: μw < μm

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

df1 = 14 - 1 = 13

df2 = 17 - 1 = 16

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)

Sp² = 16.90

t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))

t = - 3.5 ÷ 1.4836645

t = - 2.359

Using the Pvalue from Tscore ; at 95% ; df = 29

Pvalue = 0.0126

Pvalue < α

0.0126 < 0.05 ;

Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

3 0
3 years ago
___<br> .128 &lt;&lt;&lt;&lt; is it rational or irrational?
Alecsey [184]

This would be rational. If it were an irrational number, the integers on the right side of the decimal would go on forever.

6 0
4 years ago
Which linear inequality is represented by the graph? I’m timed hurry plz
Stella [2.4K]

Answer:

a

Step-by-step explanation:

first one i believe

8 0
3 years ago
What three consecutive even integers have a sum of 78?
vlada-n [284]

Answer:

24 ,4 ,28 are the three consecutive even integers that have a sum of 78

Step-by-step explanation:

I hope this is right!

8 0
3 years ago
Read 2 more answers
n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t
givi [52]

Answer:

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

We use this equation to find the value of r.

In this problem, we have that:

K = 16, P_{0} = 2, P(50) = 4

So we find the value of r.

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}

4 = \frac{32e^{50r}}{14 + 2e^{50r}}

56 + 8e^{50r} = 32e^{50r}}

24e^{50r} = 56

e^{50r} = 2.33

Applying ln to both sides of the equality

50r = 0.8459

r = 0.017

So

The differential equation is

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

3 0
3 years ago
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