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noname [10]
2 years ago
9

Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their envir

onment. The formula is Upper T equals 50 plus StartFraction Upper N minus 40 Over 4 EndFractionT=50+ N−40 4​, where T is a temperature in degrees Fahrenheit and N is a number of chirps per minute. If Nequals=9898​, find the temperature in degrees​ Fahrenheit, T.
Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0
For this case, the first thing we are going to do is rewrite the equation correctly.
 We have then:
 T = 50 + (N-40) / 4
 We substitute the value of N = 98, we have then:
 T = 50 + (98-40) / 4
 T = 64.5 degrees Fahrenheit.
 Answer:
 the temperature in degrees Fahrenheit, T is:
 T = 64.5 degrees Fahrenheit.
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Answer:

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6 0
3 years ago
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
ollegr [7]

Answer:

from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

Step-by-step explanation:

Given that;

x^{bar} = 6.5 gpm

μ = 5 gpm

n = eight runs = 8

standard deviation σ = 1.9 gpm

Test statistics;

t = (x^{bar} - μ) / \frac{s}{\sqrt{n} }

we substitute

t = (6.5 - 5) / \frac{1.9}{\sqrt{8} }

t = 1.5 / 0.67175

t = 2.23

the degree of freedom df = n-1 = 8 - 1

df = 7

Now, from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

3 0
2 years ago
The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this se
solniwko [45]

Answer:

105

Step-by-step explanation:

A "set" is a group of numbers.

A "positive integer" is a whole number that's bigger than zero.

"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)

"least" means smallest.

15 and 35 both go into 105.

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2 years ago
Avery got on the bus at 1:25 P.M. The trip took 74 minutes. Then she walked for 61 minutes to get home.
AnnZ [28]

Answer:

3:40 p.m.

Step-by-step explanation:

Add 74 minutes to 1:25 p.m.; the improperly formed result witll be 1:99 p.m.; to express this properly, add 1 hour to this time and subtract 60 minutes from it:

2:39 p.m. (time at which Avery gets off the bus)

If Avery walked 61 minutes to get home and we want to know what time she arrived, we add 61 minutes to 2:39 p.m., obtaining 2:100 p.m., which must in turn be re-written as 3:40 p.m.

Avery arrived home at 3:40 p.m.

Note:  another way in which to do this problem is to add 74 minutes and 61 minutes, obtaining 135 minutes, and then adding 135 minutes to 1:25 p.m. and making the necessary adjustments to the result:

1:25 p.m. + 135 minutes = 1:160 p.m., or (recognizing that 120 min = 2 hours)

3:40 p.m.

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