A rectangle has a height of 4 and a width of x^2+3x+2

The Fahrenheit and Celsius scales are related by the equation F=9/5C+32. What temperature is equal to a body temperature of 98.6

____ [38]

$\textbf{Substitute\ in\ the\ equation}$

$\displaystyle 98.6 = \frac{9C}{5} +32$

$\textbf{Solve\ for\ }C$

$\displaystyle 66.6 = \frac{9C}{5}$

$333=9C$

$\large C=\textbf{37 \textdegree C}$

7 0

1 year ago

In your random sample of 25 Chips Ahoy bags, you find a mean of 985 chips per bag, with a standard deviation of 10 chips. Run a

stealth61 [152]

Answer:

The p -value is less than 0.001.

Step-by-step explanation:

Given information:

Sample size = 25 chips

Sample mean = 985

Sample standard deviation = 10

Let as assume that sample is distributed normally.

The formula for test statistic

$t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}$

where,

$\overline{x}$ is sample mean

μ is population mean.

s is sample standard deviation.

n is sample size.

The value of test statistic is

$t=\frac{985-1000}{\frac{10}{\sqrt{25}}}$

$t=-7.5$

The p-value is

$p=2\times p(t$

Therefore the p -value is less than 0.001.

6 0

3 years ago

Kylie can afford a $1310-per-month house loan payment. If she is being

Lesechka [4]

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

<u>Now, from compounded method</u> :

Amount = Principal × $(1+\frac{Rate}{12\times 100})^{12\times Time}$

Or, $393,000 = $ P × $(1+\frac{8.4}{12\times 100})^{12\times 25}$

Or, $393,000 = $ P × $(1.007)^{300}$

Or, $393,000 = $ P × $\frac{393,000}{8.10066}$

∴ P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56 Answer

8 0

3 years ago

Determine the number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers

Thepotemich [5.8K]

Answer:

There are 26 possible way to determine two distinct integers whose sum is 27.

Step-by-step explanation:

To find : The number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers whose sum is 27.

Solution :

We have given the numbers from 1,2,3,4......,29,30.

In order to get two distinct numbers having the sum 27,

There are the possibilities :

1+26=27

2+25=27

3+24=27

......

24+3=27

25+2=27

26+1=27

The maximum number taken is 26.

So, There are 26 possible way to determine two distinct integers whose sum is 27.

5 0

2 years ago

Please help with math

Sergio [31]

Answer: x = 2

Step-by-step explanation:

$x+y=8\\y=3x$

Replace y in the first equation by the value of y in the second equation.

$x+y=8\\x+3x=8\\4x=8\\x=\frac{8}{4}\\ x=2$

4 0

2 years ago

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