Answer:
Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Step-by-step explanation:
The hypotheses would be;
Null hypothesis;H0: μ = 500
Alternative hypothesis;Ha: μ ≠ 500
Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.
Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
Answer: (10, ∞)
Step-by-step explanation:
See the graph in the attached image.
Answer:
I think it is A
Step-by-step explanation:
can you give brainliest
Here, we want to express the given fraction as a decimal by the use of long division
We start by writing the long division sign
We place 5 on the left hand side outside and place 4 inside the long division sign
Now, as we know, 4 cannot divide 5 wholly as it is less than 5
We simply add a 0 at the top of the long division symbol, with a decimal point after it.
Concurrently, we place a zero after 4
Hence we have 40 inside the long division
Then we can divide 40 by 5 to get 8
The 8 now comes after the decimal point
Hence, our answer is 0.8
Pictorally, we can have the representation as follows;
