Answer:
the answer to this question is clearly a
Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
Answer:
5/8
Step-by-step explanation:
The number of possible outcomes after flipping 3 coins is $2 \times 2 \times 2 = 8$. If the dime isn't heads, we need both the penny and nickel to be heads. If the dime is heads, the other two could be anything. So there are a total of $1+(2 \times 2)=5$ ways for us to get at least 6 cents. The answer is $\boxed{\dfrac58}.$
Answer:
B
Step-by-step explanation:
Here, we are to give the reason why we would reject the null hypothesis during the hypothesis testing.
In considering whether to accept the null hypothesis or reject the null hypothesis, we have to take into consideration two things.
The p-value and the alpha value. The p-value refers to the probability which is directly obtainable from the standard score which is referred to as the z-score while the alpha refers to the level of significance.
Now, when the p-value is less than alpha, we simply reject the null hypothesis and accept the alternative hypothesis. In a case however, we have the value of p greater than or equal to the significance level alpha, we simply accept the null hypothesis in this case.
The question asks for a rejection case and this can happen only when the p-value is less than the level of significance alpha
