Answer:
the mango cost 1.75$ each and the peach 0.75$
Step-by-step explanation:
M= mango
P=peach
we know that Hudson spend 16$ buying 7 mangos and 5 peaches. So we can write the equation
(1) 16=7M+5P---> (2)P=(16-7M)/5
and we know that Austin spend 14.50 buying 4 mangos and 10 peaches.
we write the equation
(3)14.50=4M+10P
and we replace the P with the equation (2)
14.5=4M+10*(16-7M)/5
14.5=4M+2*(16-7M)
14.5-32=4M-14M
M=1,75$
and now we replace M in eq. (2)P=(16-7*1.75)/5=0.75$
Answer:
7
Step-by-step explanation:
the others can be mulitples with other numbers besides itself.
11x3=33
3x9=27
9x7=63
X=80 because the square it cut in half so both triangles have the same measure in angles a square has to equal 180 the two measure Gaven are 80 and 20 which makes 100 .180-100=80
x=80
Answer:
9/32
Step-by-step explanation:
BC = black circle
BS = black square
WC = white circle
WS = white square
Given:
(WC + WS) / (BC + BS) = 5 / 11
WC / WS = 3 / 7
BC / BS = 3 / 8
Find: (BC + WC) / (BC + BS + WC + WS)
Solve for WC and BC in the last two equations, then substitute into the first:
WC = 3/7 WS
BC = 3/8 BS
WC + WS = 5/11 (BC + BS)
3/7 WS + WS = 5/11 (3/8 BS + BS)
10/7 WS = 5/8 BS
WS = 7/16 BS
Therefore:
WC = 3/7 WS
WC = 3/16 BS
Substitute:
(BC + WC) / (BC + BS + WC + WS)
(3/8 BS + 3/16 BS) / (3/8 BS + BS + 3/16 BS + 7/16 BS)
(9/16 BS) / (2 BS)
9/32
Answer:
We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
Step-by-step explanation:
The hypotheses testing procedure in the given scenario is
H0: Husband’s perception would be similar to the wife’s i.e. μh=μw
Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw
Level of significance: α=0.05
Test statistic: t=2.776
Critical region: t>t(0.05,9)=1.833
Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
