What are three consecutive odd integers whose sum is 99?

Apple products have become a household name in America with 51% of all households owning at least one Apple product (CNN, March

RSB [31]

Answer: It is mutually exclusive and exhaustive.

Step-by-step explanation:

Since we have given that

Owns apple No apple Total

With kids 500.2 319.8 820

Without kids 182.4 197.6 380

Total 682.6 517.4 1200

P(Households without kids) = $\dfrac{380}{1200}=0.316$

P(Households with kids) = $\dfrac{820}{1200}=0.683$

And P(A∪B) = 0.316+0.683 = 0.999 ≈ 1

Since the two event are disjoint so, the probability of both occurring is 0 and the probability of either occurring is the sum of each occurring.

Hence, it is mutually exclusive and exhaustive.

4 0

3 years ago

What is the distance between the points (-3, 1) and (-3, -4)?

AveGali [126]

It’s 3 that’s the answer

3 0

3 years ago

Read 2 more answers

I just need help on part A

ki77a [65]

Answer:

Part A) see the explanation

Part B) The initial value is 60 meters and the slope is 40 m/min (see the explanation)

Step-by-step explanation:

Part A) see the attached figure with letters to better understand the problem

we know that

If two triangles are similar then the ratio of its corresponding sides is proportional

In this problem

triangles ACD and ABE are similar by AA Similarity Theorem

so

$\frac{AE}{AD}=\frac{BE}{CD}$ ----> equation A

Remember that the slope is equal to divide the change in the y-value by the change in the x-value

so

The slope AB is equal to $\frac{AE}{BE}$

The slope AC is equal to $\frac{AD}{CD}$

Rewrite the equation A

$\frac{AE}{AD}=\frac{BE}{CD}$

$\frac{AE}{BE}=\frac{AD}{CD}$

therefore

The slope of AB is equal to the slope of AC

Part B)

Let

x ---->the amount of time in minutes

y ----> the depth in meters

Find the initial value

we know that

The y-intercept or initial value is the value of y when the value of x is equal to zero

In this context the y-intercept is the depth of the shark when the time is equal to zero, so is the initial depth of the shark

Looking at the graph

For x=0

y=60 meters

therefore

The initial value is 60 meters

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Take two points from the graph

C(0,60) and B(1,100)

substitute

$m=\frac{100-60}{1-0}$

$m=40\ m/min$

That means ---->The depth of the shark increases at the rate of 40 meters per minute

7 0

3 years ago

Cox Media Corporation pays a 10 percent coupon rate on debentures that are due in 20 years. The current yield to maturity on bon

Lynna [10]

Answer:

The correct answer will be "1197.93".

Step-by-step explanation:

According to the question:

Semi annual coupon:

= $10 \ percent\times \frac{1000}{2}$

= $50$

Number of periods:

= $20\times 2$

= $40$

Semi annual YTM:

= $\frac{8}{2} \ percent$

= $4 \ percent$

Now,

The market value of bond will be:

= PV of Coupons + PV of Par Value

On putting the values, we get

= $50\times (\frac{(1-(1+4 \ percent)^{-40})}{4 \ percent} )+\frac{1000}{(1+4 \ percent)^{40}}$

= $1197.93$

Note: percent = %

6 0

3 years ago

brian bought X apples and some oranges. Brian bought 3 more oranges than apples. find the toal number of fruit brian bought in t

Sophie [7]

<span>We can make an equation through that information.
X+3+3
</span>Brian bought 3 more of the oranges and apples, and that will get you
X+3+3
=
X+6

8 0

4 years ago