Let x be larger integer so x-3 is the smaller
so x^2+ x-3 = 87
x^2 +x -90=0 and factor
(x-9)(x+10)=0
x=9 or x=-10 but x must be positive
so x=9 and smaller number is 6
Answer:
2 t-shirts ; 1 collar shirt
Step-by-step explanation:
We need to first obtain the ratio of T - shirts to collar shirts :
T - shirts = 10
Collar shirts = 5
Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1
Hence, using the ratio obtained ; if Jake buys 3 new shirts :
Number of T-shirts :
(Ratio of t-shirts / total ratio) * new t-shirts
2/3 * 3 = 2 t-shirts
Collar shirts :
1/3 * 3 = 1
2 t-shirts ; 1 collar shirt
(g + h)(n) =
g(n) + h(n) =
2n + n^2 + 5 =
n^2 + 2n + 5 (standard form)
Answer: 29/139
Explanation:
Total student: 139 (66 boys/73 girls)
Football: 56 student (28 boy/28 girl)
Tennis: 54 student (27 boy/ 27 girl)
Running: 29 student (18 girls/11 boys)
The probability that a student chose running is 29/139
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:

It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that 
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that 
Value of the test-statistic:



P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.