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3 years ago

How much is -1/4 of 1 1/3 a) - 1/3 b) 3/16 c) 1 1/12 d) -5 1/3

Mathematics

2 answers:

kenny6666 [7]3 years ago

5 0

It is a: -1/3. You multiply -1/4 and 1 1/3 and get -1/3/

7nadin3 [17]3 years ago

3 0

-1/4 * 1 1/3 = -1/4 * 4/3
4/3*4 = -1/3

The Answer Would Be A

~Hope This Helped~

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0.4b+1.3=0.4(b-5) solve equation

Ivan

Answer:

Step-by-step explanation:

At first sight this equation has 3 terms. Multiply all 3 of them by 10 to remove the fractions:

4b + 13 = 4(b - 5)

Carrying out the multiplication, we get:

4b + 13 = 4b - 20

This can never be true (13 is never equal to -20), so this equation has NO SOLUTION.

4 0

3 years ago

Find the total area for the pyramid with the equilateral base.<br><br><br><br> T. A. =

iogann1982 [59]

Answer:

36√3 + 144

Step-by-step explanation:

Given that,

base of the pyramid is an equilateral triangle with sides = 12

Formula to calculate total surface area of pyramid

<h3>[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>

Base Area

1/2 (height) (base)

1/2 (√12²-6²)(12)

6(6√3)

36√3

perimeter of base

sum of all sides = 12 + 12+ 12

= 36

slant height = √10²-6²

= 8

put all these values in the formula above

36√3 + 1/2(36)(8)

36√3 + 144

Total area for the pyramid with the equilateral base =

36√3 + 144

4 0

3 years ago

Read 2 more answers

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

3 years ago

A principal of $1,000 is invested in an account paying an annual interest rate of 6%.

Evgesh-ka [11]

A(t) = P(1+(r/n))^(nt)

A(5) = 1000(1+0.12/2)^(2*5)

A(5) = 1000(1.06)^(10)

A(5) = $1790.85

6 0

4 years ago

Read 2 more answers

You are having a pizza making party you will need 6 onces of dough and 4 onces of sauce for each person including youself the ho

Novay_Z [31]

Answer:

the ounces of dough did you buy is 78

Step-by-step explanation:

The number of dough ounces that should be buy is given below:

Given that

There is a requirement of 6 dough ounces and 4 sauce ounces

So for each person it would be

= 4 + 6

= 10

Now the total ounces bought is 130

So, the number of people used

= 130 ÷ 10 ounces

= 13 people

Now let us assume the number of dough ounces be x

Now if there is 6 dough ounces and there are 13 people

So, the total dough ounces purchased is

x = 6 × 13

= 78

Hence, the ounces of dough did you buy is 78

6 0

3 years ago