A recipe states that 5 servings of peanuts have 1,250calories. How many calories is 2 servings of peanuts? *
2 answers:
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Answer:
a) Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
b) If the true mean is 190 days, Type II error can be made.
Step-by-step explanation:
Let mu be the mean life of the batteries of the company when it is used in a wireless mouse
Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
Type II error happens if we fail to reject the null hypothesis, when actually the alternative hypothesis is true.
That is if we conclude that mean life of the batteries of the company when it is used in a wireless mouse is at most 183 days, but actually mean life is 190 hours, we make a Type II error.
Given:
The equation is
To find:
The y-intercept (in ordered pair).
Solution:
We have,
Putting x=0, we get
Divide both sides by 4.5.
So, y-intercept is 4.
Therefore, the graph intersect the y-axis at (0,4).
Answer:
In isosceles triangle ABC, BM is the median to the base AC and Point D is on BM as shown below in the figure;
Median of a triangle states that a line segment joining a vertex to the midpoint of the opposing side, bisecting it
M is the median of AC
then by definition;
AM = MC ......[1]
In ΔAMD and ΔDMC
AM = MC [side] [By [1]]
[Angle]
DM =DM [Common side]
Side-Angle-Side postulate(SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Then, by SAS,
CPCT stands for Corresponding parts of congruent triangles are congruent
By CPCT,
[Corresponding side] ......[2]
In ΔABD and ΔCBD
AB = BC [Side] [By definition of isosceles triangle]
BD= BD [common side]
AD = DC [Side] [by [2]]
Side-Side-Side(SSS) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
Therefore, by SSS theorem,
