Pam's age is 3 times din age the sum of the ages is 32. What Jim's age?

The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assu

m_a_m_a [10]

Answer: 0.0170

Step-by-step explanation:

Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.

i.e. $\mu=23.50$

$\sigma=5$

We assume the distribution of amounts purchased follows the normal distribution.

Sample size : n=50

Let $\overline{x}$ be the sample mean.

Formula : $z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

Then, the probability that the sample mean is at least $25.00 will be :-

$P(\overline{x}\geq\25.00)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\geq\dfrac{25-23.50}{\dfrac{5}{\sqrt{50}}})\\\\=P(z\geq2.12)\\\\=1-P(z$

Hence, the likelihood the sample mean is at least $25.00= 0.0170

5 0

4 years ago

An exterior angle of a triangle equals _______ minus the adjacent interior angle.

insens350 [35]

As isosceles triangle has two congruent sides with a third side
that is the base. 

A base angle of an isosceles triangle is one of the angles formed by 
the base and another side. Base angles are equal because of the 
definition of an isosceles triangle. 

A picture would probably help here: 

A 
. 
/ \ ABC = ACB = 39 degrees 
/ BAC = ??

._______________. 
B C 
base 
ABC is the isosceles triangle. AB is congruent to AC. Angle ABC 
is congruent to angle ACB. These are the base angles. 
Triangle is a convex polygon with three segments joining three non-collinear points. Each of the three segments is called a side, and each of the three non-collinear points is called a vertex. 
Triangles can be categorized by the number of congruent sides they have. For instance, a triangle with no congruent sides is a scalene triangle; a triangle with two congruent sides is an isosceles triangle; a triangle with three congruent sides is an equilateral triangle. 
Triangles can also be categorized by their angles. For instance, a triangle with three acute interior angles is an acute triangle; a triangle with one obtuse interior angle is an obtuse triangle; a triangle with one right interior angle is a right triangle; a triangle with three congruent interior angles is an equiangular triangle. 
One property of a triangle is that the sum of the measures of the three interior angles is always 180 degrees (or pi radians). In addition, the exterior angle of a triangle is the supplement of the adjacent interior angle. The measure of the exterior angle is also the sum of the measures of the two remote interior angles.

5 0

3 years ago

Read 2 more answers

1. The great pyramid at Giza is the largest pyramid in the world, the area of its square base is 52,441 m squared, what is the l

AlladinOne [14]

Answer:

The length of each side of the base is $229\ m$

Step-by-step explanation:

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of a square

In this problem we have

$A=52,441\ m^{2}$

so

substitute in the formula

$52,441=b^{2}$

Square root both sides

$b=\sqrt{52,441}\ m$

$b=229\ m$

3 0

3 years ago

Why can't you use the product of powers rule to simplify this expression? Explain. 3^4.2^8

Tema [17]

Answer:

Because the base of this expression is not same.

3 0

4 years ago

Ray MN and ray ML are two sides of an angle. What is a name of this angle?

Setler [38]

It is (c) NML
Because MN and ML is the vertex and the point meeting is M which is the angle.
The M is the angle because the common letter of both vertex is the letter M

7 0

3 years ago