Lengths of pregnancies​ (in humans) have a mean of 267.6 days and a standard deviation of 15.4 days. A woman tracked her pregnancy and found it to be 309 days. Find the z score for 309 days. Is such a length​ unusual?

Answer: (-0.5,00)

number one i think good luck

Step-by-step explanation:

Answer:

Option C is the correct option

Step by step explanation

[tex] \sqrt{ \frac{22 {x}^{6} }{11 {x}^{4} } } [/tex]

Reduce the fraction with 11

[tex] \sqrt{ \frac{2 {x}^{6} }{ {x}^{4} } } [/tex]

Simplify the expression

[tex] \sqrt{2 {x}^{6 - 4} } [/tex]

[tex] \sqrt{2 \: {x}^{2} } [/tex]

Simplify the radical expression

[tex]x \sqrt{2} [/tex]

Hope this helps...

Good luck on your assignment..

The probability of landing on Seoul or Paris after spinning spinner is 1/2 .

Probability is the measure of likeliness of an event to happen.

It is given that

Total Outcomes = 4  ( Dubai, Seoul, Switzerland, and Paris)

the probability of landing on Seoul or Paris after spinning spinner = ?

The probability of Landing on Seoul P(S)  is 1 /4

The probability of Landing on Paris P(P)  is 1 /4

The probability of landing on Seoul or Paris after spinning spinner is

P( S∪P) = P(S) + P(P)

= (1/4) + (1/4)

= 1/2

Therefore , The probability of landing on Seoul or Paris after spinning spinner is 1/2 .

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Answer:

Maddy's hourly pay is $8.50

Step-by-step explanation:

First, we need to use the information given to us to form a system of equations to determine either Maddy's pay, or her cousin's pay.  In this case, we are interested in Maddy's pay.

We know her cousin makes 30% more than Maddy, which means she makes 100% of what Maddy makes, and an additional 30%.  So we have our first equation:

C = M + .3M = 1.3M, where C is the amount the cousin makes and M is Maddy's pay.

The second piece of information is that in one week, Maddy worked 23 hours, and her cousin worked 27, and together they made $493.85.  So now we have our second equation:

27C + 23M = 493.85, where C is the amount the cousin makes and M is the amount Maddy makes.

Now we simply substitute are value of C from the first equation into the second equation like such:

27(1.3M) + 23M = 493.85

And now we solve for M to find Maddy's pay.

27(1.3M) + 23M = 493.85

35.1M + 23M = 493.85

58.1M = 493.85

M = 8.5

To verify our answer is correct, let's find the value of money earned per hour by the cousin using the first equation:

C = 1.3(8.5) = 11.05

Now let's see if the number of hours worked by each and their pay adds up to the 493.85 from the previous week:

27(11.05) + 23(8.5) =? 493.85

298.35 + 195.5 =? 493.85

493.85 == 493.85

So, now we have confirmed that Maddy makes $8.50 per hour, and her cousin makes $11.05 per hour.

Cheers.

Answer:

(x+2.3)^2 + (y) ^2 = (6/7)^2

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

(x- -2.3)^2 + (y-0) ^2 = (6/7)^2

(x+2.3)^2 + (y) ^2 = (6/7)^2

Answer:

-16-5q

Step-by-step explanation:

-6+4q-6q-6+4q-6q-6+4q-6q= -18-6q

Answer:C

Step-by-step explanation: 100% correct I did it on Khan Academy

Answer:

[tex]\boxed{y\leq 6}[/tex]

Step-by-step explanation:

[tex]y-8 \leq -2[/tex]

Adding 2 to both sides

[tex]y \leq -2+8[/tex]

[tex]y \leq 6[/tex]

Answer:

[tex]\boxed{\sf Option \ E}[/tex]

Step-by-step explanation:

(1) 3.25 kg

(2) 1 kg = 1000 g

(3) 1000 mg = 1g

= (4) 3.25 mg

The first problem occurred in column (4) where we actually had to multiply it by 1000 but we divided it by 1000 and so our conversion was incorrect.

The correct form of it is:

1) 3.25 kg

2) 1 kg = 1000 g ; 3.25 kg = 3250 g

3) 1 g = 1000 mg ; 3250 * 1000 = 3,250,000 mg

4) Answer = 3,250,000 mg

Answer:

[tex]\boxed{\sf Option \ E}[/tex]

Step-by-step explanation:

1 kg = 1000 g

1000 mg = 1g

3.25 kilograms is to be multiplied by 1000 to get the value in grams. Then the result should be multiplied again by 1000 to get the value in milligrams.

3.25 kg ⇒ 3250 g ⇒ 3250000 mg

The first problem occurs in column (4). The multiplication and division was performed incorrectly.

Answer:

x= 37/36

Step-by-step explanation:

−12(3x−4)=11

Step 1: Simplify both sides of the equation.

−12(3x−4)=11

(−12)(3x)+(−12)(−4)=11(Distribute)

−36x+48=11

Step 2: Subtract 48 from both sides.

−36x+48−48=11−48

−36x=−37

Step 3: Divide both sides by -36.

−36x

−36

=

−37

−36

x=

37

36

Answer:

x=

37

36

-1/2(3x-4) = 11

Multiply both sides by -2:

3x-4 = -22

Add 4 to both sides:

3x = -18

Divide both sides by 3:

X = -6

Answer:

(16x + 21) and (16x - 6)

Step-by-step explanation:

f(g(x)) = f(6 + 4x)

Applying the f(x) function on (6 + 4x) gives

4(6 + 4x) - 3

Which equals 16x + 24 - 3

= 16x + 21

g(f(x)) = g(4x - 3)

Applying the g(x) function on (4x - 3) gives

6 + 4(4x - 3)

Which equals 6 + 16x - 12

= 16x - 6

Answer:

(g∘f)(x)=48x2+48x+10

(g∘f)(x)=12x^2-6

Step-by-step explanation:

To find (f∘g)(x), use the definition of (f∘g)(x),

(f∘g)(x)=f(g(x))

Substituting 3x2−2 for g(x) gives

(f∘g)(x)=f(3x2−2)

Find f(3x2−2), where f(x)=4x+2, and simplify to get

(f∘g)(x)(f∘g)(x)(f∘g)(x)=4(3x2−2)+2=12x2−8+2=12x2−6

To find (g∘f)(x), use the definition of (g∘f)(x),

(g∘f)(x)=g(f(x))

Substituting 4x+2 for f(x) gives

(g∘f)(x)=g(4x+2)

Find g(4x+2), where g(x)=3x2−2, and simplify to get

(g∘f)(x)=3(4x+2)^2−2

(g∘f)(x)=48x2+48x+12−2

(g∘f)(x)=48x2+48x+10

Answer:    The loss is 4%  

Step-by-step explanation:

Lets call litches that are 20 pcs per Rs 100  - litches A

that are 30 pcs per Rs 100- litches B

So a man can buy 2 pcs A per Rs 10

and 3 pcs B per Rs 10

OR

6x  pcs  A per  Rs  30x  

and 6x  pcs  B  per  Rs  20x

Now he gonna sell the 12x  litches  for y Rs

Lets find y from the proportion

12x  cost y

25   cost 100

y/12=100/25

y=48  Rs

So the man bought 6x A + 6x B  for 20x+30x=50 Rs

And then he sold them for 48 Rs

Obviously the man gonna loose the money.

Lets find the losses in %

(50-48)/50*100=200/50=4%

The loss is 4%  

Answer:

the difference between the estimator and the population parameter grows smaller as the sample size grows larger.

Step-by-step explanation:

In Statistics, an estimator is a statistical value or quantity, which is used to estimate a parameter.

Generally, parameters are the determinants of the probability distribution. Thus, to determine a normal distribution we would use the parameters, mean and variance of the population.

An estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, for an estimator to be consistent it must have both a small bias and small variance.

Also, note that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[\tex]

Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).

A sample variance is an unbiased estimator of the population variance while the sample mean is an unbiased estimator of the population mean.

Generally, a consistent estimator in statistics is one which gives values that are close enough to the exact value in a population.

Answer:

B. CSCX=  sinx  / 1

D. tanx= sin x  / COS x

Step-by-step explanation:

A. sec x=  1/cos(x)

CSC X  / 1 = sin(x)

B. CSCX

sinx  / 1  = csc(x)

C. tanx=   sin(x) / cos(x)

secx  = 1 / cos(x)

D. tanx=  sin(x) / cos (x)

sin (x)  / cos(x)

The correct option is (D). tanx = sinx/cosx

Option (D). is correct.

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant. Can be used for practical applications.

As per the given data:

We are given some trigonometric identities, and we have to find out which of the given identities in the options are correct.

(A). secx = cscx/1

This is incorrect, as secx = 1/cosx

(B). cscx = sinx/1

This is incorrect, as cscx = 1/sinx

(C). tanx= secx

This is incorrect, as tanx = sinx.secx

(D). tanx = sinx/cosx

This is correct as, tanx = sinx/cosx

The correct option is (D). tanx = sinx/cosx

Hence, The correct option is (D). tanx = sinx/cosx

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Answer:

Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. A box contains 20 blue marbles, 16 green marbles and 14 red marbles P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green. I think this is it.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2

We know the two legs and want to find the hypotenuse

15^2+ 20 ^2 = c^2

225 + 400 = c^2

625 = c^2

Taking the square root of each side

sqrt(625) = c^2

25 = c

Bueno, usaré el español xD

11. Recordemos que entre más negativo es un número, menor es.

a) - 6 > - 10

ya que - 10 es más negativo, por consiguiente es menor, esto llega a confundir ya que tenemos la noción de que si vemos una cifra alta, por consiguiente es mayor, esto pasa en los positivos.

b) 12 > - 16

c) - 7 < 0

d) 35 > - 80

e) -37 < - 24

f) - 40 < 15

g) - 18 < 10

h) - 17 < 0

i) |-21| = |21|

El valor absoluto de un número negativo es su positivo, por lo que también puede ser:

21 = 21.

j) |176| > 0, o también 176 > 0

k) |-479| > |478|, o también 479 > 478

l) |-1375| = |1375|, o también 1375 = 1375

12. De menor a mayor.

a) - 8, - 7, - 4, 0, 3

b) - 16, - 12, - 7, 8, 9

c) - 15, - 13, 0, 9, 11

d) - 47, - 43, - 31, 14, 29

e) - 17, - 15, - 12, 16, 19

f) - 26, - 21, - 10, 17, 26

g) - 61, - 58, - 49, 30, 50

13. De mayor a menor.

a) 6, 4, - 1, - 5, - 7

b) 8, 0, - 7, - 11, - 13

c) 19, 6, - 8, - 10, - 17

d) 21, - 9, - 18, - 24, - 27

e) 53, 47, - 6, - 43, - 48

f) 14, 6, - 18, - 39, - 45

g) 24, 16, 12, - 12, - 17

Salu2

Answer:

11

Step-by-step explanation:

95/8=11.875

so he has around about 11-12 friends

Answer:

the answer is 29.  i placed down 3 dots until i hit 95, counted 8 dots, and started group the 3 dots i put together, so i made sure i didnt count the eight ( pieces of gum) and i started counting the groups of three and i got 29. there was 29 groups of three.

Step-by-step explanation:

Answer:

0, 3

Step-by-step explanation:

Hola,

[tex]x^2-3x=0\\\\x*x-3*x=0\\\\x(x-3)=0\\\\x= 0 \ or \ x=3\\[/tex]

Espero que esto ayudes

Answer:

x = 0      O       x = 3

Step-by-step explanation:

[tex]x^2-3x = 0[/tex]

tomando x común

x(x-3) = 0

Ya sea,

x = 0      O     x-3 = 0

x = 0      O       x = 3

Answer:

y= -1/7x + 39/7

Step-by-step explanation:

Slope - intercept form is:

Given the line:

which can be shown as:

We need to write an equation for the line that it perpendicular to the given line and passes through the point (4,5)

As we know, perpendicular line has a slope opposite-reciprocal to the given, so the slope is:

and the form of the line is:

We can find b, by using the point (4, 5), which means x=4 and y=5:

And the equation for this line is:

Answer:

The sample size is  [tex]n = 87[/tex]

Step-by-step explanation:

From the question we are told that

      The standard deviation is  [tex]\sigma = 0.04 \ inches[/tex]

       The  precision is [tex]d = \pm 0.005 \ inches[/tex]

        The confidence level is [tex]C =[/tex]98%

Generally the sample size is mathematically represented as  

        [tex]n = \frac{ Z_{\frac{\alpha }{2} } ^2* \alpha^2 }{d^2}[/tex]

Where  [tex]\alpha[/tex]  is the level of significance which is mathematically evaluated as

        [tex]\alpha = 100 - 98[/tex]

        [tex]\alpha = 2[/tex]%

        [tex]\alpha = 0.02[/tex]

and  [tex]Z_{\frac{\alpha }{2} }[/tex] is the critical value of [tex]\alpha[/tex] which is obtained from the normal distribution table as  2.326

  substituting values

         [tex]n = \frac{2.326 ^2* 0.02^2 }{0.005^2}[/tex]

        [tex]n = 87[/tex]

Answer: the numbers are 3 and -3

Step-by-step explanation:

let the unknown number be x

The first UNKNOWN NUMBER = X

The second unknown number is = 6 + x

Their product = -9

(X)(6 + X) = -9

6x +[tex]x^{2}[/tex]=-9

[tex]x^{2}[/tex] +6x +9=0

we multiply the coefficient of x which is 1 with 9

now, we look for two numbers that when multiplied will give us 9 and when added will give 6 and that is 3 and 3

[tex]x^{2}[/tex] +3x+3x +9 = 0

x(x+3) +3(x+3) = 0

(x +3 ) = 0

or (x +3)=0

x +3 =0

x=0 -3

x =-3

x +3=0

x =0-3

x =-3

since the numbers are the same ,we pick one

therefore,the first number =x =-3

the second number is 6 + x=6 + (-3)

6-3=3

Answer:

368 miles

Step-by-step explanation:

when we multiply 23 by 16 we get 368 miles .

23x16=368

Answer:

368 miles

Step-by-step explanation:

Formula:

Distance = gallons * miles per gallon

Givens

gallons: 16

miles per gallon: 23

Solution

distance = 16 * 23

distance = 368 miles

Answer:

The cost of the paper book= $12

Step-by-step explanation:

Hardcover books costs $21

But paper book cost only a fraction of the hardcover book.

The paper book cost 4/7 of the hardcover book.

The cost of paper book= 4/7* paper book

The cost of paper book = 4/7*$21

The cost of the paper book= 4*3

The cost of the paper book= $12

Answer:

We conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.

Step-by-step explanation:

We are given that based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age of 25.

A random sample of 52 claims showed that 43 were made by single people under the age of 25.

Let p = population proportion of claims made by single people

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 67%     {means that the insurance claims of single people under the age of 25 is smaller than or equal to the national percent reported by the large insurance company}

Alternate Hypothesis, [tex]H_A[/tex] : p > 67%      {means that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company}

The test statistics that will be used here is One-sample z-test for proportions;

                          T.S.  =  [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of claims made by single people under the age of 25 = [tex]\frac{43}{52}[/tex] = 0.83

           n = sample of claims = 52

So, the test statistics =  [tex]\frac{0.83-0.67}{\sqrt{\frac{0.67(1-0.67)}{52} } }[/tex]  

                                    =  2.454

The value of z-test statistics is 2.454.

Since in the question, we are not given the level of significance so we assume it to be 5%. Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 2.454 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.

Answer:

-1 3/4 =x

Step-by-step explanation:

-3 1/2= 1/2x+1/2x+x

Combine like terms

-3 1/2 = 2x

Change to an improper fraction

- ( 2*3+1)/2 = 2x

-7/2  = 2x

Multiply each side by 1/2

-7/2 *1/2 = 2x* 1/2

-7/4 = x

Changing to a mixed number

-4/4 -3/4 =x

-1 3/4 =x

Answer:

Step-by-step explanation:

When the input is 4, the output of f(x) = x + 21 is f(4).

Substitute x = 4 to f(x):

f(4) = 4 + 21 = 25

Answer:

25

Step-by-step explanation:

We can find the output by plugging in 4 as x into the function:

f(x) = x + 21

f(4) = 4 + 21

f(4) = 25

Answer:

[tex]\large \boxed{\sf \ \ \ (-8,0) \ \text{ and } \ (4,0) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

from the expression of f(x) we can say that there are two zeroes, -8 with a multiplicity of 1 and 4 with a multiplicity of 1.

So the image of the parabolic lens crosses the x-axis at two points:

   (-8,0)

and

   (4,0)

For information, I attached the graph of the function.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

[tex]f(x)=(x-1)\,(x-3)\.(x+2)[/tex]

which agrees with the first answer shown in the list of possible options.

Step-by-step explanation:

Notice that there are three roots for this polynomial clearly shown on the graph's crossings of the x axis: x = 1, x = 3, and x = -2.

Therefore, based on such, we can write three binomial factors of the form [tex](x-root)[/tex]  for the polynomial:

[tex]f(x)=(x-1)\,(x-3)\.(x-(-2))=(x-1)\,(x-3)\.(x+2)[/tex]

Answer:

0

Step-by-step explanation:

the answer is 0

Have a great day

Answer:

212

Step-by-step explanation:

Answer:

212

Step-by-step explanation: