Consecutive numbers are 1 apart
they are
x,x+1,x+2,x+3,x+4
average is 21
(x+x+1+x+2+x+3+x+4)/5=21
(5x+10)/5=21
times both sides by 5
5x+10=105
minus 10 both sides
5x=95
divide both sides by 5
x=19
x+1=20
x+2=21
x+3=22
x+4=23
the smallest number is 19
Answer:
a = 7.2
Step-by-step explanation:
The figure has been re-labelled and attached to this response.
From the figure, the larger right triangle DAB and the small right triangle BCA are similar. This is because;
i. They have two corresponding congruent angles which are<em> the right angle</em>
and <em>angle B</em>
Therefore, we can say that;


<em>Cross multiply</em>
a x a = 13 x 4
a² = 52
a = √52
a = 7.2
Note: The figure showing the similar triangles has also been attached to this response.
Answer:
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.
Step-by-step explanation:
Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

It found that 368 of the Indians and 130 Asians listened to rap music every day.

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

Alternative hypothesis:- 
Level of significance α = 0.05
The test of statistic

where 
p = 0.414
and q = 1-p = 1- 0.414 =0.586

on calculation , we get
z = 0.300 ><1.96 at 95 % level of significance
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap every day.
360 ÷ 12 = 30.
The measure of an interior angle of a dodecagon is 30°. (:
Answer:
it's negative and positive and negative + positive is -ive or +ive but in this case they are in equal distance from the number line which makes the answer zero