The duration of telephone calls directed by a local telephone company: σ = 3.6 minutes, n = 560, 90% confidence. Round your answer to the nearest thousandth

Answer:

17

Step-by-step explanation:

Answer:

line a )y=-5/4x+3

line b) y=4/5+5

Answer:

x=-14

Step-by-step explanation:

The 2 angles are opposite of each other. This means that they are vertical angles, are they are congruent.

Since they are congruent, we can set them equal to each and solve for x.

9x+184=7x+156

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtract 7x from both sides.

9x-7x+184=7x-7x+156

9x-7x+184=156

2x+184=156

Next, subtract 184 from both sides.

2x+184-184=156-184

2x=156-184

2x=-28

Finally, divide both sides by 2.

2x/2= -28/2

x=-28/2

x= -14

The value of X is -14.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

da,

Step-by-step explanation:

Answer:

(a)$4954

(b)$10

(c)The company should not produce the 101st item.

Step-by-step explanation:

(a)

[tex]C'(50)=\dfrac{C(52)-C(50)}{52-50} \\\\C(50) = 4900,C'(50) = 27\\\\$Therefore:\\27=\dfrac{C(52)-4900}{52-50}\\C(52)-4900=27*2\\C(52)=4900+54\\C(52)=\$4954[/tex]

(b)If C'(50) = 27 and R'(50) =37

Therefore, the profit earned on the 51st item

[tex]=R'(50)-C'(50)[/tex]

=37-27

=$10

(c)If C'(100) = 41 and R'(100) =37

Therefore, the profit earned on the 101st item

Profit [tex]=R'(100)-C'(100)[/tex]

=37-41

=-$4

The company should not produce the 101st item. It would lose $4 if it does.

Answer:

same problem with me.That's what happened

Answer:

y = (9 x)/10 - 7/5

Step-by-step explanation:

y-y/x-x

Answer:

10.03% probability that the sample mean will be greater than 10 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 10.8, \sigma = 3.7, n = 35, s = \frac{3.7}{\sqrt{35}} = 0.6254[/tex]

What is the probability that the sample mean will be greater than 10 years?

This is 1 subtracted by the pvalue of Z when X = 10. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{10 - 10.8}{0.6254}[/tex]

[tex]Z = -1.28[/tex]

[tex]Z = -1.28[/tex] has a pvalue of 0.1003

10.03% probability that the sample mean will be greater than 10 years

Answer:

[tex](D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)[/tex]

Step-by-step explanation:

The given options are:

[tex](A)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(\dfrac14\right)\\(B)\left(\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)\\(C)\left(\dfrac38\right)\left(\dfrac57\right)\left(\dfrac14\right)\\(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)[/tex]

The key to determining which product is negative is to understand the rule of sign multiplication.

Now:

In Options A and B, the number of negative signs is even, therefore our result is positive.

In option C, all the terms are positive, therefore our result will be positive.

In Option D, the number of negative signs is odd, therefore our result is negative.

Answer:

your answer is D

:)

Answer:

  $996.67

Step-by-step explanation:

The discounted price is ...

  (list price)(100% -70%) = $299.00

  list price = $299.00/0.30 . . . . . divide by 0.30

  list price = $996.67

Answer:

There are 24 pieces of fruit in the basket.

Step-by-step explanation:

There are 24  pieces of fruit in the basket because to find how many there are you would do [tex]\\ \frac{6}{5\\}\\ \\[/tex] · [tex]\frac{5}{6}[/tex]f = 20 · 6/5 times 5/6 cancels out, and 20 time 6/5 is 24. 20/24 can also simplify to 5/6.

Hope this helps!

(Make sure to stream ON, Black Swan. Boy With Luv, Mic Drop, and etc.!)

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

[tex]-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6[/tex]

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

[tex]-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4[/tex]

Answer:

1.) Which operation must be performed to move all the constants to the right side of the equation?

✔ Subtract 0.4 (C)

2.) Then, which operation must be performed to isolate the variable?

✔ Divide by -9 on both sides.  (D)

3.) The solution to the equation is x =

✔ -0.4   (B)

Step-by-step explanation:

I hope this helps!! Have a wonderful day!! :))

Answer:

n = 4

Step-by-step explanation:

These triangles are similar, so you can set up a proportion like this:

[tex]\frac{20}{n} =\frac{10}{2}[/tex]

→Cross multiply:

[tex]\frac{40}{10n}[/tex]

→Divide 40 by 10:

n = 4

Answer:

C

Step-by-step explanation:

Per year: 12,986.64 * 1.11 = 14,415.1704 US dollars

Per month: 14,415.1704/12 = 1,201.2642 US dollars

Answer: c 1,200

Answer:

[tex]x = 20000000[/tex]

Step-by-step explanation:

Recall the power property of logarithms which states:

[tex]log(a^n)=n\,\,log(a)[/tex]

to re-write [tex]2\,log(4)=log(4^2)=log(16)[/tex]

and then use the product and quotient rules of logarithms:

[tex]log (A*B)=log(A)+log(B)[/tex]

and

[tex]log (\frac{A}{B} )=log(A)-log(B)[/tex]

to rewrite the combination of logarithms on the left of the equal sign as a single logarithm:

[tex]log(x)+log(8)-2\,\,log(4)=7\\log(x)+log(8)-log(16)=7\\log(\frac{8\,x}{16}) =7\\log(\frac{x}{2}) =7[/tex]

and now re-write this equation in exponent form to get rid of the logarithm:

[tex]10^7=\frac{x}{2} \\2\,\,\,10^7 = x\\x = 20000000[/tex]

Answer:

  see below

Step-by-step explanation:

The first answer choice is the only one that has the first sale correctly represented. Each term is the product of the number of pens of the type and the cost of pens of that type.

  12 dozen roller-ball pens will have a cost of 12x

  5 dozen ballpoint pens will have a cost of 5y

The total cost of these will be 116 (dollars).

The equation is written ...

  12x +5y = 116 . . . . . . . this equation is only found in choice A

Answer: Cone

Step-by-step explanation:

Looking at the shape, the problem already listed cylinder. That is the bottom figure. The top figure is a cone.

Answer: cone

Step-by-step explanation:

The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.

The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.

Pls hit the thx button and mark me brainliest if this helped :)

Answer:

5.44

Step-by-step explanation:

From Trigonometry Identity,

Sin65= CB/AB

CB = AB Sin65

= 6 × Sin65

= 5.4378

= 5.44{ to the nearest hundredth}

Answer:

Natasha's sculpture is 249/16 or 15.5625 or 15 9/16  inches shorter than Mayas sculpture

Step-by-step explanation:

The height of Natasha sculpture is 5 3/16 inches tall. Let us convert the height to an improper fraction.

5 3/16 = 83/16 inches tall. Therefore,

Natasha's sculpture is 83/16 inches tall.

According to the question Mayas own sculpture was 4 times as tall as Natasha's own sculpture. Mathematically, Mayas sculpture height can be expressed as follows

Mayas sculpture height = 4(83/16)

Mayas sculpture height = 4 × 83/16

Mayas sculpture height = 332/16

Mayas sculpture height = 20.75  inches or 83/4 inches

To know how much shorter was Natasha's sculpture we subtract Natasha sculpture height from Mayas sculpture height.

Therefore,

83/4 - 83/16 = (332 - 83) /16 = 249/16 or 15.5625 or 15 9/16

Natasha's sculpture is 249/16 or 15.5625 or 15 9/16  inches shorter than Mayas sculpture

Answer:

A).4m^(+5)

B).2m^ (+7)

Step-by-step explanation:

First let me convert the expression to words for easy simplification and evaluation.

2m squared times 2m to the power 3.

= 2m² * 2m³

m to the power 4 times 2m to the power 3

= m⁴ * 2m³

So to evaluate.

We just multiply and get our answer.

For 2m² * 2m³

= (2*2)(m²*m³)

= 4(m(²+³))

= 4m^(+5)

For m⁴ * 2m³

= 2(m⁴*m³)

= 2m(⁴+³)

= 2m^ (+7)

Answer:

Expectation number of books a customer will​ purchase  =  1.3

Step-by-step explanation:

x     :​ 0      1              2

p(x) :0.2​,  0.3​, and 0.5​

Expectation

E(X) = ∑x P(x)

      = 0 X 0.2 +1 X 0.3+ 2 X 0.5

     = 1.3

Expectation  E(X) =  1.3

Expectation number of books a customer will​ purchase  =  1.3

Answer:

Step-by-step explanation:

Let the events be

W = Wednesday

T = Thursday

F = Friday

S = Saturday

The corresponding probability are

P (W) = 0.3

P (T) = 0.4

P (F) = 0.2

P (S) = 0.1

Let Y = number of days beyond wednesday that takes for both magazines to arrive

(so possible Y values are 0, 1 , 2 ,3)

The possible outcome are 4² = 16

(W,W) (W,T) (W,F) (W,S)

(T,W) (T,T) (T,F) (T,S)

(F,W) (F,T) (F,F) (F, S)

(S,W) (S,T) (S,F) (S,S)

The values associated for each of the following as follows

Y(W,W) =0, Y(W,T) =1, Y(W,F)=2, Y (W,S)=3

Y(T,W)=1, Y (T,T)=1, Y (T,F)=2, Y (T,S)=3

Y(F,W)=2, Y (F,T)=2, Y (F,F)=2, Y (F, S)=3

Y(S,W)=3, Y (S,T)=3, Y (S,F)=3, Y (S,S)=3

The probability mass function of Y is

P(Y=0)=0.3(0.3)=0.9

P(Y=1) = P[(W,T) or (T,W) or (T,T)]

= [0.3(0.4) + 0.3(0.4) + 0.4(0.4)]

=0.4

P(Y = 2) = P[(W,F) or (T,F) or (F,W) or (F,T) or (F,F)]

=0.3(0.2) + 0.4(0.2) + 0.2(0.3) + 0.2(0.4) + 0.2(0.2)]

=0.32

P(Y =3) = P[(W,S) or (T,S) or (F,S) or (S,W) or (S,T) or (S,F) or (S,S)]

= [0.3(0.1) + 0.4(0.1) + 0.2(0.1) + 0.1(0.3) + 0.1(0.4) + 0.1(0.2) + 0.1(0.1)]

= 0.19

Answer:

(a) [9, 19]

(b)  [tex]9 \leq x \leq 19[/tex]

(c)See attachment

Step-by-step explanation:

We want to choose a value of x at least 5 units away from 14.

(a)Now, 14-5=9 and 14+5=19

The possible values of x ranges is in the closed interval [9,19]

(b) Since x is at least 5 units away from 14, we have:

[tex]|14-x|\leq5[/tex]

Solving the absolute inequality

[tex]-5 \leq 14-x \leq 5\\$In $ -5 \leq 14-x\\ x \leq 14+5\\x \leq 19\\\\$In $ 14-x \leq 5\\ 14-5 \leq x\\9 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\9 \leq x \leq 19[/tex]

(c)To draw the number line, we use a closed dot since we have a less than or equal to sign.

Inequalities are used to represent unequal expressions.

Represent the value with x.

A value that is at least 5 from 14 can take any of the following forms:

[tex]\mathbf{14 -x \ge 5}[/tex]

[tex]\mathbf{x-14 \ge 5}[/tex]

The inequalities can be combined as:

[tex]\mathbf{|x-14| \ge 5}[/tex]

The values of x are solved as follows:

[tex]\mathbf{14 -x \ge 5}[/tex]

[tex]\mathbf{14 - 5 \ge x}[/tex]

[tex]\mathbf{9\ge x}[/tex]

Rewrite as:

[tex]\mathbf{x \le 9}[/tex]

Similarly, we have:

[tex]\mathbf{x-14 \ge 5}[/tex]

[tex]\mathbf{x \ge 14 + 5}[/tex]

[tex]\mathbf{x \ge 19}[/tex]

So, we have:

[tex]\mathbf{x \le 9}[/tex] or [tex]\mathbf{x \ge 19}[/tex]

This can be combined as:

[tex]\mathbf{9 \ge x \ u\ x \ge 19}[/tex]

Some possible values of x are: 5 and 20

Read more about inequalities at:

https://brainly.com/question/1930605

Step-by-step explanation:

When dividing by a negative number, you "flip" the inequalities sign so you would divide -20 by -2 which would leave you with 10. X is left where it is and you flip the inequalities sign to a ≥ sign.

final answer =

x ≥ 10

Your answer will be 620!

Answer:

the number is 620.

Step-by-step explanation:

in other words the question is 55% of what number is 341?

let the number be Y.

[tex]\frac{55}{100}*Y=341[/tex]

[tex]\frac{55Y}{100}=341[/tex]

[tex]55Y=341*100[/tex]

[tex]55Y=34100[/tex]

[tex]Y=\frac{34100}{55}[/tex]

Y=620

Answer:

Simplify:  = −7333 4400 (Decimal: -1.666591)

Answer: −7333/  4400

Step-by-step explanation:

Steps below

1: 343100−2312112(2)3+116

2: 14100−2312112(2)3+116

3: 1400−2312112(2)3+116

4: −46199400112(2)3+116

Answers:

Simplify:  = −7333 4400 (Decimal: -1.666591)

Answer: −7333/  4400

Hope this helps.

Answer:

The answer is 11/6

Answer:

Ok, i will answer in English.

The first step is to know that when we have a linear equation like:

y = a*x + b

any line with a slope equal to -1/a will be perpendicular to our line.

So first let's write our equation in the standard form:

4x + 6y - 6 = 0

6y = -4x + 6

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

then the slope is (-2/3)

then the slope of the perpendicular line will be:

-(1/(-2/3)) = 3/2

So the only thing any line with the equation:

y = (3/2)*x + c

where c can be any real number, is perpendicular to 4x+6y-6=0

Question Completion

(a)What is your null hypothesis?

(b)What is your expected phenotypic ratio based on Mendelian inheritance?

(c)Calculate the expected number of flowers you should have gotten based on the Mendelian inheritance. Then calculate a chi-square value, degrees of freedom, and a p-value.

(d)Interpret your results. Do you reject it or fail to reject your null hypothesis (please restate the null)?

Answer:

(a)[tex]H_0:$The given data fit the predicted phenotype[/tex]

(b)9:3:3:1

(c)

(d)We fail to reject the null hypothesis.

Step-by-step explanation:

In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flowers (e). An F2 generation was created by crossing two F1 individuals (each BbEe).

(a)The null hypothesis is:

[tex]H_0:$The given data fit the predicted phenotype[/tex]

(b)The gametes are BE, Be, bE and be.

The offsprings are presented in the table below:

[tex]\left|\begin{array}{c|cccc}&BE&Be&bE&be\\--&--&--&--&--\\BE&BE&BE&BE&BE\\Be&BE&Be&BE&Be\\bE&BE&BE&bE&bE\\be&BE&Be&bE&be\end{array}\right|[/tex]

The expected phenotypic ratio based on Mendelian inheritance

BE:Be:bE:be=9:3:3:1

(c)

[tex]\left|\begin{array}{c|c|c|c|c|c}$Phenotype&Observed&$Expected&O-E&(O-E)^2&\dfrac{(O-E)^2}{E} \\-----&--&--&--&--&--\\$White short(BE)&206&\frac{9}{16}*404 \approx 227 &-21&441&1.9427\\$Red, short(bE)&83&\frac{3}{16}*404 \approx 78 &5&25&0.3205\\$White, tall(Be)&85&\frac{3}{16}*404 \approx 78 &7&49&0.6282\\$Red, tall(be)&30&\frac{1}{16}*404 \approx 25 &5&25&1\\-----&--&--&--&--&--\\$Total&404&--&--&--&3.8914\end{array}\right|[/tex]

Therefore:

(d) Our null hypothesis is:

[tex]H_0:$The given data fit the predicted phenotype[/tex]

Since p>0.05, the given data fit the predicted phenotypic ratio.

We, therefore, fail to reject the null hypothesis.

The difference in the observed and expected are sosmall that they can be attributed to random chance.

Answer:

y= -5/24

Step-by-step explanation:

2y=50y+10

1: Subtract 50y from both sides.

2y−50y=50y+10−50y

−48y=10

2: Divide both sides by -48.

−48y /48y=10/-48

y= -5/24