Answer:
27,29
Step-by-step explanation:
Let the two numbers be represented by x and y. We know they are consecutive odd numbers so we can write one of them, lets use y, as y = x+2
x+y=56
x+(x+2)=56
2x=54
∴x=27
y=x+2
y=27+2
y=29
∴ANSWER: (27,29)
Answer:
Mean of these n = 23 observations is 16.21 .
Step-by-step explanation:
We are given with the one‑sample t statistic from a sample of n = 23 observations for the two‑sided test of H0 : μ = 15 versus Hα : μ > 15 has the value t = 2.24 . Also, the standard deviation from the sample is 2.4.
So, Null Hypothesis, : = 15
Alternate Hypothesis, : > 15
The test statistics that is used here is One sample t-test statistics;
T.S. = ~
where, = sample mean
= population mean = 15
s = sample standard deviation = 2.4
n = sample size = 23
So, test statistics = ~
2.24 =
1.21 = - 15
= 1.21 + 15 = 16.21
Therefore, mean of n = 23 observations is 16.21 .
7/8-3/8=
Is it more than one half or less then one half
Answer:
Step-by-step explanation:
Let x = the number of bottles of paint that Carmen can buy
Let y = the number of boxes of colored pencils that Carmen can buy
A bottle of paint costs $2
A box of colored pencils costs $3.50
She can spend no more than $42 on art supplies. This means
She can buy bottles of paint worth 2×x = $2x
She can buy boxes of colored pencils
worth 3.5 × y = $3.5y
Since the total amount she can spend cannot exceed $42, the equation becomes
2x + 3.5y lesser than or equal to 42
This is shown in the attached photo
b) three different solutions to the inequality would be three different possible values that x and y can take. These are
x = 7 while y = 8
x = 10 while y = 6
x = 14 and y = 4
Answer:
The left side of the equation is ignored
i is treated as -1, which it is not, it is instead the square root of negative 1.
To solve it properly we get:
(2 - 5i)(5 + 2i)
= 10 + 4i - 25i - 10i²
= 10 + 21i + 10
= 20 - 21i