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2 years ago

15

Translate the sentence into an equation. Six less than the quotient of a number and 5 is 10

1 answer:

In-s [12.5K]2 years ago

4 0

N/5 - 6 = 10; "a number" is represented by n and it is divided by 5, then you add six to it, and the equation on the left is equal to 10

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An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde

n200080 [17]

Answer:

(a)

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

(b)

$P(3 \le x \le 6) = 0.30$

$P(4 \le x)=0.60$

Step-by-step explanation:

Given

$F(x) = \left[\begin{array}{ccc}0& x$

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

The calculation is as follows:

$0.30 - 0 = 0.30$

$0.40 - 0.30 = 0.10$

$0.45 - 0.40 = 0.05$

$0.60 - 0.45 = 0.15$

$1 - 0.60 = 0.40$

The x values are gotten by considering where the equality sign is in each range.

$1 \le x < 3$ means $x = 1$

$3 \le x < 4$ means $x = 3$

$4 \le x < 6$ means $x=4$

$6 \le x < 12$ means $x = 6$

$12 \le x$ means $x = 12$

Solving (b):

$(i)\ P(3 \le x \le 6)$

This is calculated as:

$P(3 \le x \le 6) = F(6) - F(3-)$

From the given function

$F(6)= 0.60$

$F(3-) = F(1) = 0.30$

So:

$P(3 \le x \le 6) = 0.60 - 0.30$

$P(3 \le x \le 6) = 0.30$

$(ii)\ P(4 \le x)$

This is calculated as:

$P(4 \le x)=1 - F(4-)$

$P(4 \le x)=1 - F(3)$

$P(4 \le x)=1 - 0.40$

$P(4 \le x)=0.60$

8 0

2 years ago

judy borrow 600 from her friend and promises to pay it back in 3 years with the 4% interest rate. calculate the simple interest

s2008m [1.1K]

Answer:

.

Step-by-step explanation:

4 0

2 years ago

Werner's Deli can make 2.2 sandwiches

netineya [11]

Answer:

Hi there!

Your answer is:

66 sandwiches

Step-by-step explanation:

2.2sandwhiches per 1 min

× 30

66 sandwiches per 30 minutes!

Hopefully this helps

7 0

2 years ago

The product of two given numbers is 126 both of them are divisible by 3 but neither of them is 3.The larger of the two numbers i

Mice21 [21]

I believe the answer is 21

21 × 6 = 126

and both numbers are divisible by 3

4 0

2 years ago

How do you do this equation? 9x+(y)i-5=-12+4

Vaselesa [24]

$9x+yi-5=-12+4\\\\(9x-5)+yi=-13\iff9x-5=-13\ and\ y=0\\\\9x=-13+5\\9x=-8\\x=-\frac{8}{9}\\\\Answer:x=-\frac{8}{9}\ and\ y=0.$

3 0

2 years ago