Answer:
For this case we can find the critical value with the significance level 
and if we find in the right tail of the z distribution we got:
The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Step-by-step explanation:
We have the following dataset given:
represent the households consisted of one person
represent the sample size
estimated proportion of households consisted of one person
We want to test the following hypothesis:
Null hypothesis: 
Alternative hypothesis: 
And for this case we can find the critical value with the significance level and if we find in the right tail of the z distribution we got:
The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Answer:
The given two triangles are not congruent.
Step-by-step explanation:
See the diagram of the two triangles attached to this question.
The third angle of the second triangle is [180° - (31° + 124°)] = 180° - 155° = 25°.{Since the other two angles of the triangle are 31° and 124°}
Now, for the first triangle, the values of the adjacent angles of the side with length 6 are 45° and 31°, but for the second triangle, the values of the adjacent angles of the side with length 6 are 25° and 31°.
Therefore, two triangles do not satisfy the Angle=Side-Angle i.e. ASA criteria to become congruent.
So, the given two triangles are not congruent. (Answer)
a x b = -3. b x b = 1. Now whats -3 - 1? When a letter is right next to another letter without a space, that means it wants you to multiply the value of one letter by the other. for example, if x equals 2 and y equals 3, and they're right next to each other like this: xy that means you need to multiply x by y. X times Y = 2 times 3. 2x3=6. If you see a letter with a small number beside it, this means that it wants you to multiply the value of that letter by itself times the little number on the top. For example, if n equals 6, and the little number on the top right is 3, then that means you have to multiply 6 by 6 three times. 6 x 6 x 6 = 216.
(10x+21) + (13x) = 90
23x + 21 = 90
-21 -21
23x = 69
/23 /23
x = 3
10(3) + 21
30 + 21 = 51
FEH = 51
13(3) = 39
DEH =39
Answer:
Aw shoot nvm I haven't learned this yet sorry homie
