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4 years ago

A boy scout has 0.7 meter of rope. He uses 2 tenths of rope to tie a knot at one end. How many meters of rope are in the knot.

Mathematics

1 answer:

solniwko [45]4 years ago

3 0

Answer:

0.44

Step-by-step explanation:

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how much must you deposit in an account that pays 8% annual interest compounded monthly to have a balance of $1,000 after one ye

strojnjashka [21]

Answer:

$\$923.36$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=1\ year\\ A=\$1,000\\ r=0.08\\n=12$

substitute in the formula above and solve for P

$\$1,000=P(1+\frac{0.08}{12})^{12*1}$

$P=\$1,000/(1+\frac{0.08}{12})^{12*1}=\$923.36$

5 0

4 years ago

In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five compu

Sindrei [870]

The probability that all of them will be defective is 0.0000759375

Explanation

The general Binomial Probability formula is....

$P= ^nC_{r}*p^r*(1-p)^n^-^r$ , where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.

Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

$P= ^5C_{5}*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375$

So, the probability that all of them will be defective is 0.0000759375

7 0

4 years ago

Joel is making sauces at his restaurant.He has 8 gallons of chicken broth. He puts it into 5 pots so each has the same amount. H

GarryVolchara [31]

Answer:1 r3

Step-by-step explanation:8 Divided by five

4 0

3 years ago

Please help me with this math problem urgent

Luba_88 [7]

Answer:

11/5

Step-by-step explanation:

We can find the slope by

m = (y2-y1)/(x2-x1)

= (5 - -6)/(-4 - -9)

= (5+6)/(-4+9)

= 11/5

4 0

3 years ago

Determine the function f(x) satisfying the given conditions.

Furkat [3]

f''(x) means function is of grade 1
f(x) = ax + b

f'(x) = a
f'(5) = 1 ⇒ a = 1

f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6

f(x) = x - 6

8 0

4 years ago