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1 year ago

10

What is the length of leg s of the triangle below?

1 answer:

allochka39001 [22]1 year ago

5 0

Answer:

F

Step-by-step explanation:

s²+s²=(4√2)²

2s²=32

s²=16

s=4

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A manager wants to build 3-sigma x-bar control limits for a process. The target value for the mean of the process is 10 units, a

lubasha [3.4K]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Mean = 10

Sample size = 9

Standard deviation = 6

We need to find the upper and lower control limits.

so, Lower limit would be

$\bar{x}-3\dfrac{\sigma}{\sqrt{n}}\\\\=10-3\times \dfrac{6}{\sqrt{9}}\\\\=10-6\\\\=4$

Upper limit would be

$\bar{x}+3\dfrac{\sigma}{\sqrt{n}}\\\\=10+3\times \dfrac{6}{\sqrt{9}}\\\\=10+6\\\\=16$

Hence, Third option is correct.

3 0

2 years ago

Michael invests USD 20 000 at 9.6% p.a. compounded monthly.

alexandr1967 [171]

Given :

A = 25000

P = 20000

r % = 9.6 % = 0.096

n = 12

To Find :

The time taken say t.

Solution :

We know, compound interest is given by :

$A=P(1+\dfrac{r}{n})^{n.t}$

Taking log both sides :

$A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years$

Hence, this is the required solution.

5 0

2 years ago

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches. If the girth is 63

tester [92]

Answer:

Length of package can be = 22 inches

Step-by-step explanation:

Given:

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches

To find length of package when girth of package is = 63 inches

Solution:

Let length of package be = $l$ inches

Let girth length of package be = $g$ inches

Sum of length and girth of package = $(l+g)$ inches

To qualify for a certain postage rate the sum of length and girth should not exceed 85 inches.

Thus, the inequality representing the situation can be given as:

$l+g\leq 85$

We are given girth of package is = 63 inches

So, inequality to find length would be:

$l+63\leq 85$

Subtracting both sides by 63.

$l+63-63\leq 85-63$

$l\leq 22$ inches

So, length should not exceed 22 inches in order to qualify.

Thus, the maximum length of package to qualify for the postal rate must be = 22 inches

3 0

1 year ago

A) The ratio 20 minutes to 1 hour can be written in the form 1:n.

Fudgin [204]

Answer:

a) 1:3

b) 9:225,000

Step-by-step explanation:

A)

1 hour is equal to 60 minutes. Written as a fraction it would look like

$\frac{20}{60}$ which would be equal to $\frac{1}{3}$ , or $1:3$

B)

Just multiply both sides of the ratio by 9, you will get $9:225,000$

Hope I helped, please mark as brainliest! Have a good day!

7 0

1 year ago

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

ipn [44]

Answer:

We have to determine the graph of the given inequality as:

$x^2+2x+1>0$

on solving this equation we get:

$(x+1)^2>0$

Since we know that:

$(x+1)^2=x^2+1^2+2\times x\times 1\\\\(x+1)^2=x^2+1+2x$

Now we know that when $x=-1$ the value of:

$(x+1)^2=0$

Also for the value other than -1 the function being a quadratic function will always give a non-zero positive value.

Hence, range of the function in intervals could be written as:

(-∞,-1)∪(-1,∞).

Hence, the graph of the function will be the whole of the number line with a open circle on -1.

5 0

1 year ago

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