All categories

3 years ago

use the frequency table to find the probability of at most 4 responses received to this week's newspaper editorials.

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

Answer:

Step-by-step explanation:

To get probability of AT MOST 4 responses means all the probabilities Equal to or Less Than 4.

From the table, that is probability of 0, 1, 2, 3 or 4. (OR in probability means adding)

Hence, we add the number of editorials for P=0,1,2,3, and 4 and then divide by total number of editorials.

$P(\leq4)= \frac{20+30+56+38+34}{200}\\P(\leq4)=\frac{178}{200}\\P(\leq4)=0.89$

Answer choice B is right.

You might be interested in

Whats the answer? pleaseeeeeeeeeee

Helen [10]

Answer =
0.89
Step by step explanation

7 0

3 years ago

Read 2 more answers

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista

lidiya [134]

Recall your d = rt, distance = rate * time.

notice, the distance are the same, say it was "d" miles.

and if car A is travelling at a speed of say "r" mph, then B is going at "r+15" mph.

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Car A}&d&r&2\\
\textit{Car B}&d&r+15&1.5
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=2r\\
d=1.5(r+15)\\
----------\\
\boxed{2r}=1.5(r+15)
\end{cases}
\\\\\\
2r=1.5r+22.5\implies 0.5r=22.5\implies r=\cfrac{22.5}{0.5}\implies \boxed{r=\stackrel{mph}{45}}$

how far is B going? well, r + 15.

5 0

3 years ago

Read 2 more answers

U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?

Pavel [41]

Answer:

The midpoint M is (5,7)

Step-by-step explanation:

$m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

U(8,9)

V(2,5)

m = [(8+2)/2 , (9+5)/2]

= [(10/2) , (14/2)]

= (5,7)

(Correct me if i am wrong)

5 0

3 years ago

On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on t

alisha [4.7K]

Answer:

A) 360 adults

Step-by-step explanation:

c=quantity of child

a=quantity of adult

9c+12.5a=5220

a+c=440 then c=440-a

substitute for c

9(440-a)+12.5a=5220

3960-9a+12.5a=5220

reduce

3.5a=1260

a=360

3 0

3 years ago

In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable

aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are used, find how long it takes to move the cans

to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = $\frac{1}{4}$ shifting/min

Rate of Smaller Belt = $\frac{1}{6}$ shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = $\frac{1}{x}$ shifting/min

Now,

$\frac{1}{4}$ + $\frac{1}{6}$ = $\frac{1}{x}$

⇒ $\frac{6 + 4}{24} = \frac{1}{x}$

⇒ $\frac{10}{24} = \frac{1}{x}$

⇒10x = 24

⇒x = $\frac{24}{10}$ = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0

3 years ago