Answer:
24 days till 240 frogs in the pond
40 days till 1800
Step-by-step explanation:
The area equation is

the trapezoid is actually on its side
so a=10.2
b=12.2
h=12.6
Answer:

Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:

The given line has a slope m1=5, thus the slope of our required line is:

The equation of the line now can be expressed as:

We need to find the value of b, which can be done by using the point (7,2):

Operating:

Multiplying by 5:

Operating:

Solving for b:

The equation of the line is:

The final cost of skateboard will be $83.10
Step-by-step explanation:
Given,
Cost of skateboard = $98
Coupon = 20% off
Amount of discount = 20% of cost of skateboard

Cost of skateboard after discount = Cost of skateboard - Amount of discount
Cost of skateboard after discount = 98 - 19.6 = $78.4
Sales tax = 6%
Sales tax amount = 6% of discounted price

Final cost of skateboard = Discounted price + Sales tax
Final cost of skateboard = 78.40+4.70 = $83.10
The final cost of skateboard will be $83.10
Keywords: sales tax, addition
Learn more about addition at:
#LearnwithBrainly
Given:
Sample Mean <span>= 30<span>
Sample size </span><span><span><span>= 1000</span></span><span>
</span></span></span>Population Standard deviation or <span><span><span>σ<span>=2</span></span><span>
</span></span>Confidence interval </span><span>= 95%</span>
to compute for the confidence interval
Population Mean or <span>μ<span><span>= sample mean ± (</span>z×<span>SE</span>)</span></span>
<span><span>where:</span></span>
<span><span>SE</span>→</span> Standard Error
<span><span>SE</span>=<span>σ<span>√n</span>= 30</span></span>√1000=0.9486
Critical Value of z for 95% confidence interval <span>=1.96</span>
<span>μ<span>=30±<span>(1.96×0.9486)</span></span><span>
</span></span><span>μ<span>=30±1.8594</span></span>
Upper Limit
<span>μ <span>= 30 + 1.8594 = 31.8594</span></span>
Lower Limit
<span>μ <span>= 30 − 1.8594 = <span>28.1406</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span>answer: 28.1406<u<31.8594</span></span></span>