Step-by-step explanation:
1. simple interest
I= p × r × t
I = 1050 × 4.5 × 2
I = $9450
2. principal
p = I/(rt)
p= 22.50/ (3× 3)
p = 22.50/9
p = $2.5
3. simple interest
I= p × r × t
I = 500 × 5 × 3
I = $7500
4. time
first convert r to decimal
r= r/100, r= 3.5 / 100
r= 0.035
t = i/(pr)
t = 43.75/ (2500× 0.035)
t = 43.75/ 87.5
t = 0.5 year or 6 months
A quarter Multiplied by a number plus five is equivalent to a number Minus seven
Answer:
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
Step-by-step explanation:
Here in this question, we want to state what will happen if the null hypothesis is true in a chi-square test.
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
This is because at a higher level of discrepancies, there will be a strong evidence against the null. This means that it will be rare to find discrepancies if null was true.
In the question however, since the null is true, the discrepancies we will be expecting will thus be small and common.
Answer:
Exercise 1:
base [b]=8cm
perpendicular [p]=6cm
hypotenuse [h]=?
<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>
h²=p²+b²
h²=6²+8²
h=√100
h=10cm
<u>So</u><u> </u><u>another</u><u> </u><u>side's</u><u> </u><u>length</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>c</u><u>m</u>
<u>Exercise</u><u> </u><u>2</u><u>:</u>
base [b]=6m
perpendicular [p]=bm
hypotenuse [h]=8m
By using Pythagoras law
h²=p²+b²
8²=b²+6²
b²=8²-6²
b=√28=2√7 0r 5.29 or 5.3
So height of kite is√<u>28</u><u>o</u><u>r</u><u> </u><u>2√7 0r 5.29 or 5.3 m</u>
Step-by-step explanation:
[Note: thanks for translating]
The equation of f(x) is f(x) = x + 4
<h3>How to determine the equation?</h3>
The given parameters are
f(-1) = 3 and f(1) = 5
Start by calculating the slope (m) using:

This gives

Evaluate
m = 1
The equation is then calculated as;
f(x) = m(x - x1) + f(-1)
This gives
f(x) = 1(x + 1) + 3
Expand
f(x) = x + 4
Hence, the equation of f(x) is f(x) = x + 4
Read more about linear function at:
brainly.com/question/4025726
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