Can anyone help with this question?

Answer:

0.05, 8%, 15/100, 3/10, 0.7

Step-by-step explanation:

so they are 5%, 8%, 15%, 30%, 70%

Complete question is;

Engineers are designing a large elevator that will accommodate 58 people. The maximum weight the elevator can hold safely is 11,716 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 190 pounds and standard deviation 62 pounds, and the weights of adult U.S. women have mean 184 pounds and standard deviation 71 pounds. Use the TI-84 Plus calculator.

Required:

a. If 58 people are on the elevator, and their total weight is 11,716 pounds, what is their average weight?

b. If a random sample of 58 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?

Answer:

A) average weight = 202 pounds

B) the probability that the maximum safe weight will be exceeded = 42.47%

Step-by-step explanation:

A) We are told that 58 people are on the elevator and that their total weight is 11,716 pounds. Thus;

Average weight = total weight/number of people = 11716/58 = 202 pounds

B) We will use z-score formula in this;

z = (x¯ - μ)/σ

Now, in part a above, we saw that the average weight is 202 pounds. Thus; x¯ = 202 pounds

We are told that standard deviation for men is;

σ = 62 pounds

We are told that the weights of adult U.S. men have mean 190 pounds . Thus; μ = 190

Thus;

z = (202 - 190)/62

z = 0.19

From z-distribution table, p-value = 0.57535

Thus;

P(z > 0.19) = 1 - 0.57535 = 0.42465

Thus, the probability that the maximum safe weight will be exceeded = 0.42465 ≈ 42.47%

Answer:

Square Root of 529:√529 = 23

Square Root of 1080: 32.863353450309965

Answer:

5

Step-by-step explanation:

5+7

Answer:

yeah, teachers kinda suck

Answer:

The equation will be "[tex]y=x-3[/tex]".

Step-by-step explanation:

Given:

Points (12, 9) = (x, y)

⇒ [tex]x=9t^2+3[/tex]

then,

 [tex]\frac{dy}{dt}=18t[/tex]

or,

⇒ [tex]y=6t^3+3[/tex]

then,

 [tex]\frac{dy}{dt}=18t^2[/tex]

⇒ [tex]\frac{dy}{dx}=\frac{18t^2}{18t}[/tex]

        [tex]=t[/tex]

By using the point slope form.

The equation of tangent will be:

⇒ [tex]y-9=1(x-12)[/tex]

   [tex]y-9=x-12[/tex]

          [tex]y=x-12+9[/tex]

          [tex]y=x-3[/tex]

Answer:

6x+y

Step-by-step explanation:

Answer:

x^16 y^8

Step-by-step explanation:

x = 8 x 2 = 16

y = 4 x 2 = 8

Answer:

x^16y^8

Step-by-step explanation:

all you gotta do is multiply the exponent on the inside and the outside

hope this helped ^^

Answer:

61 sales

Step-by-step explanation:

First find the increase

45 * 35%

45*.35

15.75

Add this to your sales

45+15.75

60.75

Since you cannot have part of a sale, round up

61 sales

9514 1404 393

Answer:

  (b)  AB overbar congruent to CD overbar

Step-by-step explanation:

AB with an overbar is the way that line segment AB is designated, where appropriate typesetting is possible. Thus the statement the line segments are congruent is fully equivalent to ...

  AB overbar congruent to CD overbar

9514 1404 393

Answer:

  162 mi²

Step-by-step explanation:

The area on the map is ...

  18(1 in)²

Then the area on the ground will be ...

  18(3 mi)² = 18·9 mi² = 162 mi²

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter ratio smaller : larger is the same as the side length ratio.

  18 : 24 = 3 : 4 . . . smaller : larger perimeter ratio

The area ratio is the square of this.

  3^2 : 4^2 = 9 : 16 . . . smaller : larger area ratio

Answer:

Step-by-step explanation:

First, I would find the point on the curve. By substituting t=1, I get (x, y). Next, I will try to eliminate the t and make a xy equation. In this case, the t's will cancel out in 'x=t-t-1" which wouldnt make this a curve. To find the equation of the tangent line, find the deretitave of the xy equation, and subsitute x in to find the slope at that point. Next, use point slope form to find the equation at the point.

Answer:

tk 30

Step-by-step explanation:

5 dozen = 5 * 12 = 60 oranges

12/4 = 3

total cost = 60 * 3 = tk.180

total sell = 50 * 3 = tk 150

total lose = 180 - 150 = tk 30

Answer:

x=71

Step-by-step explanation:

Since this is an isosceles triangle as indicated by the lines on the sides, the sides lengths are equal.

When the sides are equal, the base angles are equal

x=71

Answer:

18

Step-by-step explanation:

Shape = Isosceles Trapezoid

Area = 1/2 (a+b) h

= 1/2 (9+3) x 3

= 18

Answered by Gauthmath

Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

Answer:

6) 6[tex]\sqrt{2}[/tex]

9) 40

10) [tex]\frac{5\sqrt{2} }{2}[/tex]

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*[tex]\sqrt{2}[/tex]

9) Pythagorean Theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

[tex]\sqrt{41^{2}-9^{2} }[/tex] which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by [tex]\sqrt{2}[/tex] because we know that if 2 legs are equal, the hypotenuse is multiplied by [tex]\sqrt{2}[/tex]. Multiply the numerator and denominator by [tex]\sqrt{2}[/tex] because we can't have a square root in the denominator.

11) like #9 we have the a and b but we need to find c

a=5 b=12 c=r

so [tex]\sqrt{5^{2}+12^{2} }[/tex] which gives us 13

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {c}^{2} = {6}^{2} + {6}^{2} \\ {c}^{2} = 36 + 36 \\ c = \sqrt{2( {6}^{2} )} \\ c = \sqrt{2}{\sqrt{ {6}^{{2}} } } \\ c = 6 \sqrt{2} \: \: \: ans[/tex]

SOLUTION->

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {41}^{2} = {x}^{2} + {9}^{2} \\ 1681 = {x}^{2} + 81 \\ 1681 - 81 = {x}^{2} \\ 1600 = {x}^{2} \\ x = \sqrt{40 \times 40} \\ x = 40 \: \: \: ans[/tex]

GIVEN

[tex]{h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {5}^{2} = {s}^{2} + {s}^{2} \\ 25 = 2 {s}^{2} \\ 12.5 = {s}^{2} \\ \sqrt{12.5} = s \\ 3.5 = s \: \: \: ans[/tex]

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {r}^{2} = {12}^{2} + {5}^{2} \\ {r}^{2} \\ 144 + 25 \\ {r}^{2} = 169 \\ r = \sqrt{13 \times 13} \\ r = 13 \: \: \: \: ans[/tex]

HOPE IT HELPED

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: DEVIL005 \: \star[/tex]

Answer:

1/6

Step-by-step explanation:

We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation

4650 = 9300 * (1/64)^t

divide both sides by 9300

1/2 = (1/64)^t

First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because

(1/2)^6 = 64

take the 6th root of both sides

(1/2) = (64)^(1/6)

. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds

* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator

Answer:

0.17 seconds

Step-by-step explanation:

i got this correct on Khan   :)

i hope it helps

Answer:

3 =f

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = f/ sqrt(3)

sqrt(3) tan 60 = f

sqrt(3) * sqrt(3) = f

3 =f

Answer:

a: 1/12

b: 1/6

c: 1/2

d: 1/2

e: 1/12

f: 1/3

Step-by-step explanation:

9514 1404 393

Answer:

  3 ⇒ 12

Step-by-step explanation:

Apparently "a = b" in this case is used to mean f(a) = b. It appears as though the function is ...

  f(x) = x(x+1)

Then f(3) = 3(3+1) = 3·4 = 12

_____

Additional comment

IMO this is a poor use of the equal sign, which should be reserved for situations where the left side expression has the same value as the right side expression.

Answer:

[tex]x =320[/tex]

Step-by-step explanation:

Given

[tex]x^2 + 200x = 166400[/tex]

Required

Find x

We have:

[tex]x^2 + 200x = 166400[/tex]

Rewrite as:

[tex]x^2 + 200x - 166400 = 0[/tex]

Expand

[tex]x^2 + 520x - 320x - 166400 = 0[/tex]

Factorize

[tex]x(x + 520) - 320(x + 520)= 0[/tex]

Factor out x + 520

[tex](x - 320) (x + 520)= 0[/tex]

Split

[tex]x - 320 = 0\ or\ x + 520= 0[/tex]

Solve

[tex]x = 320\ or\ x =- 520[/tex]

Side length must be positive;

So:

[tex]x = 320[/tex]

Answer:

0.0016 = 0.16% probability that the lot will pass inspection.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Sample of 18 light bulbs

This means that [tex]n = 18[/tex]

30% of the bulbs in the lot are defective.

This means that [tex]p = 0.3[/tex]

What is the probability that the lot will pass inspection?

It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016[/tex]

0.0016 = 0.16% probability that the lot will pass inspection.

Answer:

6

Step-by-step explanation:

The given function to us is ,

[tex]\rm\implies f(x)= log_a(x) [/tex]

And its value at 7 is 2 , that is ,

[tex]\rm\implies f(x)= log_a(7) =2[/tex]

Taking this ,

[tex]\rm\implies 2= log_a(7) [/tex]

In general we know that ,

[tex]\bf\to log_a b = c ,\ then \ a^c = b [/tex]

Using this , we have ,

[tex]\rm\implies a^2 = 7 [/tex]

Squarerooting both sides ,

[tex]\rm\implies a =\sqrt{ 7 }[/tex]

Therefore , when x is 343 ,

[tex]\rm\implies f(343)= log_{\sqrt7} ( 343) [/tex]

We can write , 343 as 7³ ,

[tex]\rm\implies f(343)= log_{\sqrt7}7^3 [/tex]

[tex]\rm\implies f(343)= log_{7^{\frac{1}{2}}} 7^3 [/tex]

This can be written as ,

[tex]\rm\implies f(343)= \dfrac{ 3}{\frac{1}{2}} [/tex]

[tex]\rm\implies \boxed{\blue{\rm f(343)= 6 }}[/tex]

Hence the required answer is 6.

Answer:

Step-by-step explanation:

Probability(P) (k events out of n trials) = nCk * p^k * (1-p)^(n-k), where p=0.40, n=10 and nCk is the number of combinations of n things taken k at a time

:

P ( k < or = 3 ) = P ( k = 3 ) + P ( k = 2 ) + P ( k = 1 ) + P ( k = 0 )

:

P ( k = 3 ) = 10C3 * (0.40)^3 * (0.60)^(10-3) = 0.2149

:

P ( k = 2 ) = 10C2 * (0.40)^2 * (0.60)^(10-2) = 0.1209  

:

P ( k = 1 ) = 10C1 * (0.40)^1 * (0.60)^(10-1) = 0.0403

:

P ( k = 0 ) = 10C0 * (0.40)^0 * (0.60)^(10-0) = 0.0060

:

******************************************************************************

P ( k < or = 3 ) = 0.2149 + 0.1209 + 0.0403 + 0.0060 = 0.3821 is approximately 0.38

The probability that when 14 adults are randomly selected and 3 or fewer are in excellent health is 0.072

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

The percentage of adults who reported their health was excellent = 44 %

The probability of excellent health P = 0.44

The probability of not excellent health = Q - 1 - 0.44 - 0.56

Since, 14 adults are randomly selected.

To find the probability that 3 or fewer are in excellent health,

Use formula

Probability = [tex]^nC_rP^n Q^{n-r}[/tex]

Where P = probability to happen an event, and Q= probability to not happen an event.

The probability that 3 or fewer are in excellent health

= [tex]^{14}C_3 (0.44)^3(0.56)^{14-3} +^{14}C_2(0.44)^2(0.56)^{14-2}+^{14}C_1 (0.44)^1(0.56)^{14-1} + ^{14}C_0 (0.44)^0(0.56)^{14}[/tex]

= 0.0526 + 0.0167 + 0.00328 + 0.000298

= 0.072282

The required probability is 0.072282.

To know more about Probability on:

https://brainly.com/question/12478394

#SPJ2

X = (18/5)/(3/2)

= 18/5 x 2/3

=(18 x 2) / (5x3)

= 90/15

If you don’t want it as a fraction it’s 6!

Hope this helps!

Answer:

Null hypothesis :

H0 : Quality of parts produced been independent of the production process

We will reject Null hypothesis if value of test statistic ( x^2) > critical value of x^2 at significance level ( ∝ ) 0.05

Step-by-step explanation:

Part produced = QV2Y

Part can be produced using three ( 3 ) different production process

Production process results

process 1 : 29 defective in  240

significance level = 0.05

Null hypothesis :

H0 : Quality of parts produced been independent of the production process

We will reject Null hypothesis if value of test statistic ( x^2) > critical value of x^2 at significance level ( ∝ ) 0.05

critical value = 5.99147   where df = 2