Answer:
31.5
Step-by-step explanation:
2(7)+5(3.5)
14+17.5
31.5
WT is white T shirts
BT is blue T shirts, and WT=3BT
WT+BT=48
3BT+BT=48
4BT=48
BT=12 so WT =3×12=36
Answer:
<u>The two numbers are 23 and 56</u>
Step-by-step explanation:
Let's say the two numbers are A and B.
We are told:
1) A+B=79
2) 3A+5B=283
Let's take the first expression and solve for A:
A+B=79
A=79-B
Now use this value of A in the second expression:
3A+5B=283
3(79-B)+5B=283
237-3B+5B=283
2B = 46
B = 23
Since B=23, we know from 1) that
A+B=79
A+23=79
A = 56
<u>CHECK:</u>
Does A+B=79?
56+23 = 79? <u>YES</u>
Does 3A+5B=283?
3(56)+5(23)=283
168 + 115 = 283? <u>YES</u>
Answer:
5 ; 0.728 ; 0.00002
Step-by-step explanation:
According to the Central limit theorem, for a normal distribution, the population mean equals the sample mean., Hence the population mean, μ = sample mean = 5
The standard deviation of sampling distribution :
Standard deviation / sqrt(n)
σ / sqrt(n)
σ = 3 ; n = 17
3 / sqrt(17)
3 / 4.1231056
= 0.7276
= 0.728
3.)
P(x < 2) :
Using :
Z = (x - mean) ÷ s/sqrt(n)
P(x < 2) = (2 - 5) ÷ 3/sqrt(17)
P(x < 2) = -3 / 0.7276068
P(x < 2) = - 4.1231060
Z < - 4.123 = 0.00002 (Z probability calculator).
Answer:
y = 3x + 3
Step-by-step explanation:
First, you check for the y-intercept, which is 3 for this equation.
In order to find the slope, pick two points and apply the slope formula.
I would just use rise/run. The slope should be 3/1.