Answer:
3.7
Step-by-step explanation:
To change a fraction to a decimal, just divide the numerator with the denominator. Instead of placing the remainder over the divisor, continue to solve until it is answered (unless it's a repeating decimal.)
Divide 7 with 10:
7/10 = 0.7
Remember that there is a whole number, 3. Add that to the decimal you have gotten:
3 + 0.7 = 3.7
3.7 is your answer.
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Answer:
the pennies does not conform to the US mints specification
Step-by-step explanation:
z = (variate -mean)/ standard deviation
z= 2.5 - 2.4991 / 0.01648 = 0.0546
we are going to check the value of z in the normal distribution table, which is the table bounded by z.
checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)
we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim
since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification
the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected
compound interest equation for annually compounded
A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t
divide both sides by 1000
take ln of both sides
use ln rule 
divide both sides by ln(1.055)
using a calculator, we get that t=8.18544 yrs
so about 8.2yrs
Answer:
X = 25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Hi there!
So, our two equations are:
2x + 3y = 20 and
-2x + y = 4
We can see that the x's will cancel out because they're the same number, opposite signs. Then we're left with 4y = 24.
Divide 24 by 4, which is 6.
y = 6, then we plug that in to the first equation for y:
2x + 3(6) = 20
2x + 18 = 20
2x = 2
x = 1
So, she made her first mistake when adding the equations, adding 20 and 4, she somehow got 16.
The solution to the system is (1,6).
I hope I helped!
