Answer:
José has 49 used stamps
Step-by-step explanation:
7 used stamps for every 4 new stamps
To solve this type of problem, we can use a ratio
7 : 4 ratio
He has 28 new stamps
7 : 4 = x : 28
Ratios can be written as fractions
Cross multiply
4x = 7(28) = 196
Divide by 4 on both sides
x = 49
Hope this helps :)
Answer:
Music and Dance
Step-by-step explanation:
When looking at the numbers for each class u want to add up the numbers. When u get the answers look for the two numbers witch are the closes to each other.
Answer:
a) The test statistic is 
b) The pvalue is 0.0060.
Step-by-step explanation:
Question a:
Ha: pB < pNY
This means that the alternate hypothesis is rewritten as:
While the null hypothesis is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis and s is the standard error
pB = 0.581, pNY = 0.832
This means that 
0 is tested at the null hypothesis:
This means that 
Standard error = 0.1
This means that 
Test statistic:
The test statistic is
Question b:
The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.
Looking at the z-table, Z = -2.51 has a pvalue of 0.0060
The pvalue is 0.0060.
Answer:
ax²+ bx + c = 0
Step-by-step explanation
Multiplying (x+4) and (x−1) together (called Expanding) gets x2 + 3x − 4 :
expand vs factor quadratic
So (x+4) and (x−1) are factors of x2 + 3x − 4
Just to be sure, let us check:
(x+4)(x−1) = x(x−1) + 4(x−1)
= x2 − x + 4x − 4
= x2 + 3x − 4 yes
Yes, (x+4) and (x−1) are definitely factors of x2 + 3x − 4
Answer:
a = 82
b = 130
c = 118
Step-by-step explanation:
A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
a° + 98° = 180°
a° = 180° - 98°
a° = 82°
a = 82
By inscribed angle theorem:
a° = 1/2(b° + 34°)
82° * 2 = b° + 34°
164° - 34° = b°
b° = 130°
b = 130
Again by inscribed angle theorem:
76° = 1/2(c° + 34°)
76° *2 = c° + 34°
152° - 34° = c°
c° = 118°
c = 118
