The GCF is the biggest number that goes into all of the terms. The biggest coefficient for x and y multiplied together. The GCF in these answers is to the left of the parenthesis.
If you multiply the GCF into he parenthesis you will get the original equation. On the other hand, the biggest number that goes into all of the terms is 3x * 1y = 3xy
Now you know the GCF, multiply it out in both of those answers and pick the one that is the original equation
There are 22 roses in the vase
probability of first selecting a red rose = 8/22 = 4/11
P( second one is red) = 7/21 = 1/3
these probabilities are multiplied because the individual picks are independent
so the answer is 4/11 * 1/4 = 4/33
Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:
Alternative hypothesis:
The t-test statistics is determined by using the formula:
Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Step-by-step explanation:
here's the solution :-
1.) =》f = 90°
( because angle made by diameter on circumference of the circle measures 90° )
2.) =》here,
g + f + 56° = 180°
( because the sum of all interior angles of the triangle measures 180° )
=》g + 90° + 56° = 180°
=》g + 146° = 180°
=》g = 180° - 146°
=》g = 34°
3.) h = 56°
( since, they form alternate interior pair which are equal )
Answer: 0.75
Step-by-step explanation:
A survey of 364 children aged 19-36 months found that 91 liked to eat potato chips.
Total children surveyed= 364
Those that like to eat potato chips= 91
Those that don't like to eat potato chips= 364 - 91 = 273
Probability that the child chosen doesn't like to eat potato chips will be children that don't like to eat potato chips divided by total number of children surveyed.
= 273/364
= 0.75
