Answer:
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Step-by-step explanation:
In this question we have to test an hypothesis.
The null and alternative hypothesis are:
The significance level is assumed to be 0.01.
The sample of size n=80 gives a proportion of p=61/80=0.7625.
The standard deviation is:
The statistic z is then
The P-value is
The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
The area of the triangle PQR is 17.6 square units.
Explanation:
Given that the sides of the triangle are PQ = 12 and PR = 3 and
We need to determine the area of the triangle PQR
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
Substituting the values, we get,
Simplifying, we have,
Multiplying the terms, we have,
Dividing, we get,
Rounding off to the nearest tenth, we have,
Thus, the area of the triangle PQR is 17.6 square units.
In short, the set formed by the negative integers, the number zero and the positive integers (or natural numbers) is called the set of integers. Integer is also known as a whole number.
Question not well presented and diagram is missing
Quadrilateral WILD is inscribed in circle O.
WI is a diameter of circle O.
What is the measure of angle D?
See attached for diagram
Answer:
Step-by-step explanation:
Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.
Given
<WIL = 45°
<ILD = 109°
In the attached;
<WIL + <WDL = 180° (Opposite angle of quadrilateral)
Substitute 45° for <WIL in the above expression
45° + <WDL = 180° ---- Collect like terms
<WDL = 180° - 45°
<WDL = 135°
Hence, the measure of angle D is 135° (See attached)
Answer:
the answer is c I did it before but I can't explain step by step I hope it helps u