Answer:
It would take 86.4 gallons of gas to go 1,836 miles.
Step-by-step explanation:
the situation can be explained by the equation 16x=340, where x is how many miles the car can go in one gallon. divide both sides by 16 to get that answer
x=340/16= 21.25
Now the other problem can be expressed by the equation 21.25y=1836, where y is the amount of gallons it would take to go 1,836 miles.
divide both sides by 21.25 to get the amount of gallons
y= 1836/ 21.25= 86.4.
Answer:
1341.2<x<1458.8
Step-by-step explanation:
Given
sample size n = 64
standard deviation = 240
average mean = 1400
z score at 95% CI = 1.96
Required
confidence interval
Confidence interval = xbar ± (z*s/√n)
CI = 1400 ± (1.96*240/√64)
CI = 1400 ± (1.96*240/8)
CI = 1400 ± (1.96*30)
CI = 1400 ± 58.8
CI = (1400-58.8, 1400+58.8)
CI = (1341.2, 1458.8)
Hence the confidence interval for the population is 1341.2<x<1458.8
If the hotel pays the carpet cleaners $40 per room and they have a max price of 200 ur equation should be
40x = 200
idk for sure but if u divide 200 by 40 u end up with 5 rooms max
Answer:
Anika is correct
Step-by-step explanation:
* Lets revise the rules of reflection and rotation
- If point (x , y) reflected across the x-axis then its image is (x , -y)
- If point (x , y) rotated about the origin by angle 270° clock wise then
its image is (-y , x)
* Lets check the vertices of the two triangles
- The vertices of Δ ABC are:
# A (-7 , 2)
# B (-3 , 6)
# C (-2 , 1)
- The vertices of Δ PRQ
# P (-7 , -2)
# R (-3 , -6)
# Q (-2 , -1)
* By comparing between the vertices of the two triangles
∵ Each y-coordinates of Δ PRQ has opposite sign of each
y-coordinates of Δ ABC
∵ All x-coordinates of Δ PRQ are the same with x-coordinates of
Δ ABC
- That means Δ PRQ is the image of Δ ABC after reflection across
the x-axis
∵ Reflection doesn't change the shape and the size of the figure
∴ Δ ABC and Δ PRQ have same size (equal sides and equal angles)
∴ Δ ABC is congruent to Δ PRQ
* Anika is correct
I am dumb so no heheheheeheh