Answer:
3n−32=7n+28
n=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
3n−32=7n+28
Step 1: Subtract 7n from both sides.
3n−32−7n=7n+28−7n
−4n−32=28
Step 2: Add 32 to both sides.
−4n−32+32=28+32
−4n=60
Step 3: Divide both sides by -4.
−4n/−4=60/−4
n=−15
B. Because you can easily just eat at home and avoid paying to eat
Answer:
A and B
Step-by-step explanation:
For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.
For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.
For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.
For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.
Answer:
∠TRS = 40°
Step-by-step explanation:
∠UTS is an exterior angle of the triangle
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠UTS = ∠TRS + ∠RST
9x - 15 = 3x + 16 + x + 9
9x - 15 = 4x + 25 ( subtract 4x from both sides )
5x - 15 = 25 ( add 15 to both sides )
5x = 40 ( divide both sides by 5 )
x = 8
∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°
Answer:
No, because all the expected frequencies must be higher than 5.
Step-by-step explanation:
The chi-square test might be performed in those situations in which we need to know if a series of observations adjust or not to a theoretical function, such as the normal, Poisson, or binomial.
The chi-square test does not require the number of files to coincide with the number of columns in the table. It does not establish any restriction about the number of modalities per variable. However, the expected frequencies or counts should not be less than five.
In the exposed example, this unique rule is not accomplished, so the chi-square test can not be performed.
