Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]
Answer:
Answer is 38
Step-by-step explanation:
if the first digit in the fractional part of 37.67 is less than 5 then you remove the fractional part to get the answer. If the first digit is 5 or above, then you add 1 to the integer and remove the fractional part to get the answer. First digit is 6 - it is 5 and above, you add 1 to the integer and remove fractional part and get 37.67 rounded to the nearest whole number as 38
Hope this helps
Solution :
Let 
and 
represents the proportions of the seeds which germinate among the seeds planted in the soil containing 
and 
mushroom compost by weight respectively.
To test the null hypothesis 
against the alternate hypothesis 
.
Let 
denotes the respective sample proportions and the 
represents the sample size respectively.
The test statistic can be written as :
which under 
follows the standard normal distribution.
We reject at 
level of significance, if the P-value 
or if 
Now, the value of the test statistics = -1.368928
The critical value = 
P-value = 
= 0.171335
Since the p-value > 0.05 and 
, so we fail to reject at level of significance.
Hence we conclude that the two population proportion are not significantly different.
Conclusion :
There is not sufficient evidence to conclude that the 
of the seeds that 
with the percent of the 
in the soil.
We are given a scale that for every 1 in on the plan, the actual length will 6.5 ft.
The maximum distance across the pond on the plan is 9.75 in. So that means we will need to take 6.5 ft 9.75 times. So our answer is
6.5*9.75=63.375 ft. That's the answer.
We can visualize this a different way
1 in = 6.5 ft
9.75 in = x ft
And from here it's a little more clear to see what needs to be done.
Hope this helped!
<h2>
Explanation:</h2>
In this exercise, we have the following functions:
And they are defined for all real numbers x. So we have to write the following expressions:
First expression:
That is, we subtract s(x) from r(x):
Second expression:
That is, we get the product of s(x) and r(x):
Third expression:
Here we need to evaluate:
First of all, we find the sum of functions r(x) and s(x):
Finally, substituting x = -2:
<h2>Learn more: </h2>
Parabola: brainly.com/question/12178203
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