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kirill115 [55]
2 years ago
5

The initial temperature inside an oven is 74 degrees. Greta turns on the oven, and the temperature increases at a rate of 25 deg

rees per minute. Let x represent the number of minutes the oven heats, and let y represent the temperature inside the oven. Which equation represents the temperature of the oven after x minutes of heating? y=−25x+74 y=25x−74 y = 25x + 74 y = 74x + 25
Mathematics
1 answer:
Stella [2.4K]2 years ago
7 0

Answer:

y=25x+74

Step-by-step explanation:

the oven temperature is increasing, so all numbers are positive

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Is 5/21 rational or irrational number ?
ZanzabumX [31]

Answer:

rational

Step-by-step explanation:

irrational numbers can not be expressed as a fraction

6 0
2 years ago
The heights of students at a college are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. One might
frosja888 [35]

Answer:

25

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 175cm

Standard deviation = 6 cm

Percentage of students below 163 cm

163 = 175 - 2*6

So 163 is two standard deviations below the mean.

By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.

2.5% of the students have heights less than 163cm.

Out of 1000

0.025*1000 = 25

25 is the answer

8 0
2 years ago
Read 2 more answers
A geyser is a hot spring that periodically erupts a mixture of hot water and steam. Old Faithful in Yellowstone National Park is
vfiekz [6]

Answer:

Check the explanation

Step-by-step explanation:

Open file in excel.

Click on Data->Data Analysis and select Regression.

Enter wait time data range in y-variable.

Enter Duration data range in x-variable.

Click ok.

From above output:

#1 The equation of the linear regression line is:

A 95% confidence interval for the slope of the regression line is:

{(10.110,11.349)}

In excel, ise formula =FORECAST(6,wait time data range, duration data range) and press enter. The wait time between eruptions following a 6 minute eruption is \hat{Y}_{x=6}= 97.9} .

Since (for F test) p-value=0.000 , we can conclude that there is a statistically significant linear relationship between the duration of the eruptions and the wait time between eruptions.

The correct null and alternative hypotheses for this analysis:

{ H_0:\beta_1=0 \ H_a:\beta_1\ne 0}

Kindly check the output below

4 0
2 years ago
The angle whose sine is 0.39581 is
Lorico [155]
The angle whose sine is 0.39581 is 23.31650126° (round it how you want). 
To calculate this, you need to do the inverse sine of 0.39581. 

Inverse sine looks like sin^{-1}, however, it is not the sine of the angle to the power of -1. 
4 0
2 years ago
Read 2 more answers
PLEASE HELP!!!!!1 DUE IN 30 MINUTES Does this graph represent a proportional relationship? Explain. On a coordinate plane, a cur
Tom [10]
They are not proportional because they do not have a constant ratio. If the data on the graph shows a curved line, it is not constant and is not proportional.
4 0
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