4x - 23
(8x + 3x + 5x2)​

Answer:

[tex]P(X=6)=(100C6)(0.085)^6 (1-0.085)^{100-6}=0.1063[/tex]

Then the probability that exactly 6 bridges in the sample are structurally deficient is 0.1063 or 10.63%

Step-by-step explanation:

Let X the random variable of interest "number of bridges in the sample are structurally deficient", on this case we now that:

[tex]X \sim Binom(n=100, p=0.085)[/tex]

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

[tex] P(X=6)[/tex]

And if we use the probability mass function and we replace we got:

[tex]P(X=6)=(100C6)(0.085)^6 (1-0.085)^{100-6}=0.1063[/tex]

Then the probability that exactly 6 bridges in the sample are structurally deficient is 0.1063 or 10.63%

Answer:

4/15 ÷ x + 0.4

When x = 1

4/15 ÷ 1 + 0.4

x = 2/3

When x = 4/9

4/15 ÷ 4/9 +0.4

x = 1

When x = 1 ⅓ = 4/3

4/15 ÷ 4/3 + 0.4

x = 3/5

Hope this helps.

Answer:

X+5= -x-3

2x = 2

X=1

then y1 is 4

y2 is -1

Answer:

Answer is 4, 1. If you graph the lines, they intersect at 4, 1.

Step-by-step explanation:

Answer:

Approximately 68% of the customer accounts have payment made between 23 and 37 days.

Step-by-step explanation:

We want to calculate what two values will approximately 68% of the numbers of days be.

For a bell shaped distribution, we can apply the 68-95-99.7 rule, which states that approximately 68% of the data will fall within 1 standard deviation from the mean.

Then, for a mean of 30 and standard deviation of 7, we can calculate the two values as:

[tex]X_1=\mu+z_1\cdot\sigma=30-1\cdot 7=30-7=23 \\\\X_2=\mu+z_2\cdot\sigma=30+1\cdot 7=30+7=37[/tex]

Answer:

   The answer is 16 and 44 days.

Step-by-step explanation:

This is the correct answer for this question.

Answer:

a) Probability that a 5 member committee will have all men = 0.0065

b) probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

Step-by-step explanation:

Number of men = 8

Number of women = 10

Total number of members = 10 + 8 = 18

Probability = (Number of possible outcomes)/(Total number of outcomes)

Number of ways of selecting a 5 member committee from 18 people = [tex]^{18}C_5 = \frac{18!}{(18-5)!5!} = \frac{18!}{13!5!}[/tex] = 8568 ways

a) Probability that a 5 member committee will have all men

Number of ways of selecting 5 men from 8 men

= [tex]^8C_5 = \frac{8!}{(8-5)!5!} = \frac{8!}{3!5!}[/tex] = 56 ways

Probability that a 5 member committee will have all men = 56/8568

Probability that a 5 member committee will have all men = 0.0065

b)probability that a 5 member committee chosen randomly will have 3men and 2 women​

Number of ways of selecting 3 men from 8 men

=  [tex]^8C_3 = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!}[/tex] = 56 ways

Number of ways of selecting 2 women from 10 men

=  [tex]^{10}C_2 = \frac{10!}{(10-2)!2!} = \frac{10!}{8!2!}[/tex] = 45 ways

Number of ways of selecting 3 men and 2 women = 56*45

Number of ways of selecting 3 men and 2 women = 2520

Probability of selecting 3 men and 2 women = 2520/8568 = 0.294

probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

Answer:

6 or 7 boxes (I'd suggest you say 7 because it's rounding up)

Step-by-step explanation:

15 out of 100 boxes contain the Captain America decoder ring.

3 out of 20 boxes contain the Captain America decoder ring.

1 out of roughly 7 boxes contain the Captain America decoder ring.

You need to open about 6 or 7 boxes (6.66...)

Answer:

x-9

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

[tex]6/10=3/5=0.6[/tex]

[tex]2/3 \approx 0.66666667[/tex]

[tex]5/8=0.625[/tex]

[tex]7/12 \approx 0.583333333[/tex]

The fraction 2/3 has the greatest value.

The greatest of the fractions will be 2/3.

What is mean by Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

All fractions are;

6/10 , 2/3, 5/8, and 7 /12

Now, Find the greatest factor in the above fractions as;

Solve the fraction by dividing.

The value of the first fraction is;

6 / 10 = 0.6

The value of the second fraction is;

2/3 = 0.667

The value of the third fraction is;

5/8 = 0.625

The value of the fourth fraction is;

7 / 12 = 0.583

Clearly, In all the fractions the fraction 2/3 has the greatest value.

Therefore, The greatest of the fractions will be 2/3.

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Answer:

  9.233 ft, 23.233 ft

Step-by-step explanation:

If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...

  x^2 + (x +14)^2 = 25^2

  2x^2 +28x +196 = 625

  x^2 +14x = 214.5

  x^2 +14x +49 = 263.5

  (x +7)^2 = 263.5

  x = -7 +√263.5 ≈ 9.23268

The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.

Answer: 9 ft, 23 ft

Step-by-step explanation:

We know the Pythagorean Theorem is a²+b²=c². Since one leg is 14 less than the other leg, we can use x-14 and the other leg would be x. We can plug these into the Pythagorean Theorem with the given hypotenuse.

(x-14)²+x²=25²

(x²-28x+196)+x²=625

2x²-28x+196=625

2x²-28x-429=0

When we solve for x, we get [tex]x=\frac{14+\sqrt{1054} }{2}[/tex] and [tex]x=\frac{14-\sqrt{1054} }{2}[/tex].

Note, since we rounded to 23, the hypotenuse isn't exactly 25, but it gets very close.

Answer:

384cm2

Step-by-step explanation:

surface area

12×12=144

10×12/2=60

60×4=240

240+144=384cm2

Answer:

six x squared plus seven

Step-by-step explanation:

um..

Answer:

The way to write 6x² + 7 in words is six x squared plus seven

Step-by-step explanation:

I hope your happy with your answer

Answer:

Minimum population of fish in lake = 2400 - 155 = 2245

Maximum population of fish in lake = 2400 + 155 = 2555

Step-by-step explanation:

population of fish in lake = 2400

Variation of fish = 155

it means that while current population of fish is 2400, the number can increase or decrease by maximum upto 155.

For example

for increase

population of fish can 2400 + 2, 2400 + 70, 2400 + 130 etc

but it cannot be beyond 2400 + 155.

It cannot be 2400 + 156

similarly for decrease

population of fish can 2400 - 3, 2400 - 95, 2400 - 144 etc

but it cannot be less that 2400 - 155.

It cannot be 2400 - 156

Hence population can fish in lake can be between 2400 - 155 and 2400 + 155

minimum population of fish in lake = 2400 - 155 = 2245

maximum population of fish in lake = 2400 + 155 = 2555

Answer:

192

Step-by-step explanation:

to find the mean you have to use this formula: mean= N(total number of trials) times P( probability of "success")

n=640

p=0.3

640x0.3= 192

Answer:

D

Step-by-step explanation:

0.2x+5=8

0.2x=3

x=15

Therefore, the correct answer is choice D. Hope this helps!

Answer:

2,000

Step-by-step explanation:

if you divide 600,000 by 300 you get 2,000.

Answer:

x = 3, -7

Step-by-step explanation:

Since you already have the factored form, all you need to do is set the equations equal to zero to find you roots:

x - 3 = 0

x + 7 = 0

x = 3, -7

Answer:

3 or -7

Step-by-step explanation:

For it to equal 0, x must be 3 or -7 because anything multiplied by 0 is 0. So you take each part, x-3 and see how you can make that a 0. x-3=0, therefore x must be 3. Other part x+7=0, x must be -7.

Answer:

Step-by-step explanation:

| − | = | + 9I

THERE ARE TWO POSSIBILITIES

2x-1=4x+9                          and              2x-1=-4x-9

2x-4x=9+1                            and           2x+4x=-9+1

-2x=10                                   and            6x=-8

x=-5                                and                  x=-8/6

x=-5                               and                     x=-4/3

SOLUTION SET ={-5,-4/3}

[tex]\frac{2x-1}{3}-\frac{3x}{4}=\frac{5}{6}\\ taking LCM\\\frac{8x-4-9x}{12}=\frac{5}{6}\\\frac{-1x-24}{12}=\frac{5}{6}\\ by cross multiplication\\6(-1x-4)=12*5\\-6x-24=60\\-6x=60+24\\-6x=84\\\\x=-14\\soltion set {-14}[/tex]

[tex]10+\sqrt{10m-1}=13\\\sqrt{10m-1}=13-10\\\\\sqrt{10m-1}=3\\ taking square on both sides\\10m-1=3^2\\10m-1=9\\10m=9+1\\10m=10\\m=1[/tex]  

the number of solution to a linear equation is 1

2(x - 4) = 6 then x is ----7

Solution of | + | = − is ---------13/3,5/3

Answer:

25%

I cannot really describe how I did it but I am pretty sure it is correct.

It is a 4 : 1 ratio of color to white

or a 1 : 4 white to colored

Explanation:

1cm  = 10mm

1.2cm = 12mm

12 : 48 --> 1 : 4

Answer:

1:4

Step-by-step explanation:

1.2 cm of white fabric per 48 mm of colored fabric:

1.2 cm : 48 mm= 12 mm: 48 mm= 1:4

The ratio is: 1:4

Answer:

Total Distance = 160 m

Average speed = 64 m/hr

Step-by-step explanation:

For first 2 hours:

Distance = Speed × Time

D = 70 × 2

D = 140 m

For the next half hour:

Distance = Speed × Time

Distance = 40 × 0.5

Distance = 20 m

Now total Distance:

Total Distance = 140+20

Total Distance = 160 m

After that,

Average Speed = Total Distance Covered/ Total Time taken

Average Speed = 160 m / 2.5 hours

Average speed = 64 m/hr

Answer: 13 weeks

Step-by-step explanation:

y = -24x + 379

67 = -24x + 379

24x = 379 - 67

x = 312 / 24

x = 13

Answer:

the answer is 13 weeks

Step-by-step explanation:

y = amount left

y = 67

67 = -24x+379

-312 = -24x

x = -312 / -24

x = 13

The expanded form of the given exponential expression is (-4)×(-4)×(-4)×p×p×p×p.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is (-4)³·p⁴.

Here, (-4)³= (-4)×(-4)×(-4)

p⁴=p×p×p×p

So, (-4)×(-4)×(-4)×p×p×p×p

= -64×p×p×p×p

Therefore, the expanded form is (-4)×(-4)×(-4)×p×p×p×p.

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Answer:

Your answer is 3.16227766

Step-by-step explanation:

Answer:

a. There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

b. Test statistic z=-1.001

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion that correctly identifies the chip is significantly smaller than 50%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.5\\\\H_a:\pi<0.5[/tex]

The significance level is 0.01.

The sample has a size n=199.

The sample proportion is p=0.462.

[tex]p=X/n=92/199=0.462[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{199}}\\\\\\ \sigma_p=\sqrt{0.001256}=0.035[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.462-0.5+0.5/199}{0.035}=\dfrac{-0.035}{0.035}=-1.001[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.001)=0.16[/tex]

As the P-value (0.16) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

Answer:a^2/b

Step-by-step explanation:

(a^6b^−3)1^/3

a^6 ^ 1/3  b ^ -3 ^ 1/3

using the power of power rule we can multiply the exponents

a ^ (6*1/3) b ^ (-3* 1/3)

a^ 2 b ^ -1

the negative exponent flips it from the numerator to the denominator

a^2* 1/ b^1

a^2/b

Answer:

A. -18b^-4

second answer is B. -18/b^-4

Step-by-step explanation:

Answer:

[tex]6cm^2[/tex]

Step-by-step explanation:

Let x and y be the sides of the rectangle.

Area of the Triangle, A(x,y)=xy

From the diagram, Triangle ABC is similar to Triangle AKL

AK=4-y

Therefore:

[tex]\dfrac{x}{6} =\dfrac{4-y}{4}[/tex]

[tex]4x=6(4-y)\\x=\dfrac{6(4-y)}{4} \\x=1.5(4-y)\\x=6-1.5y[/tex]

We substitute x into A(x,y)

[tex]A=y(6-1.5y)=6y-1.5y^2[/tex]

We are required to find the maximum area. This is done by finding

the derivative of Aand solving for the critical points.

Derivative of A:

[tex]A'(y)=6-3y\\$Set $A'=0\\6-3y=0\\3y=6\\y=2$ cm[/tex]

Recall that: x=6-1.5y

x=6-1.5(2)

x=6-3

x=3cm

Therefore, the maximum rectangle area is:

Area =3 X 2 =[tex]6cm^2[/tex]

Answer:

b. becomes narrower.

Step-by-step explanation:

Since the 95% confidence interval for a population mean could find out from 100 to 120

And based on this, the coefficient confidence level is declined to 0.90

Therefore the confidence interval for mean should become narrowed

As a 95% confidence interval represents narrower and 99% confidence interval represents wider

Therefore the option B is correct

Using confidence interval concepts, the correct option is:

b. becomes narrower

The margin of error of a confidence interval is given by:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

The lower the confidence level, the lower the value of z, hence, the margin of error decreases and the interval becomes narrower, which means that option b is correct.

A similar problem is given at https://brainly.com/question/14377677

Answer:

Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds.

Step-by-step explanation:

Dilation is a transformation process in which the dimensions of a given figure are resized to produce an image with the same shape. This is done with respect to a scale factor and center of dilation.

In the given question, the center of dilation is at the middle of side DC of rectangle ABCD (i.e on side DC).

Given that the scale factor is  [tex]\frac{4}{3}[/tex],

EF = HG =  [tex]\frac{4}{3}[/tex]  × AB = [tex]\frac{4}{3}[/tex] × 6 = 8 units

FG = EH =  [tex]\frac{4}{3}[/tex]  × BC =  [tex]\frac{4}{3}[/tex]  × 3 = 4 units

Therefore, rectangle EFGH is the result of dilation of ABCD.

Answer:

A. Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds

Step-by-step explanation: