The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 20¢. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 95¢ with a standard deviation of 18¢. Do the data support the claim at the 1% level?

Answer:

(2x – 4) dollars

Step-by-step explanation:

a. The significance level of the test is the probability of rejecting the null hypothesis 1 - F(k). b. The value of k at the midpoint of this interval is the solution. c. the exact relationship between the number of chips and the temperature depends on the details of the chip fabrication process and the testing procedure.

(a) Suppose the rejection set of the test is {k or more chips fail in one day}. To find the significance level of the test as a function of the number of chips tested, we need to calculate the probability of rejecting the null hypothesis when it is true, which is the probability of observing k or more failures in one day when the chips are operating normally. This probability is given by the cumulative distribution function (CDF) of the exponential distribution with mean years, evaluated at the time period of one day:

P(reject null | null is true) = P(k or more failures in one day | normal operation) = 1 - F(k)

where F(k) is the CDF of the exponential distribution with mean years, evaluated at k/365. The significance level of the test is the probability of rejecting the null hypothesis when it is true, so we have:

significance level = P(reject null | null is true) = 1 - F(k)

(b) To find the number of chips that must be tested at temperature degree Celsius so that the significance level is , we need to solve the equation:

1 - F(k) =for k, where F(k) is the CDF of the exponential distribution with mean years, evaluated at k/365 and is the desired significance level. Since the exponential distribution is a continuous distribution, we can use a numerical method to solve this equation. One way is to use a root-finding algorithm such as the bisection method or Newton's method. For example, using the bisection method, we can start with an initial interval [a, b] that brackets the solution and iteratively bisect the interval until we obtain an interval of desired width that contains the solution. The value of k at the midpoint of this interval is the solution.

(c) If we raise the temperature during the test, the number of chips we need to test will decrease. This is because the higher temperature increases the failure rate of the chips, making it easier to detect contamination problems. However, the exact relationship between the number of chips and the temperature depends on the details of the chip fabrication process and the testing procedure, so we cannot give a general answer to this question without more information.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Answer: 30

Step-by-step explanation: when you look at the x value of 9, the y value on the best fit line would be 30

Answer:35 cars

Step-by-step explanation:

9 divided by 35 cars each person will sell at least 3 cars

Answer:

hey work backwards then you will get the answer i can seem to get it

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

A is going to be my version of the triangle:

if A ABC =~ A GHI then all of the line segments and area should be the same.

the coordinates of endpoint B are (7,7)

Answer:

Solution given:

M(x,y)=(2,-1)

A\((x_{1},y_{1})=(-3,5)\)

Let

B\((x_{2},y_{2})=(a,b)\)

now

by using mid point formula

x=\(\frac{x_{1}+x_{2}}{2}\)

$ubstituting value

2*2=-3+a

a=4+3

a=7

again

y=\(\frac{y_{1}+y_{2}}{2}\)

$ubstituting value

-1*2=5-b

b=5+2

b=7

the coordinates of endpoint B are (7,7)

Answer: 1.834 ft

Step-by-step explanation:

Given

Walter's first Jump is 5 ft, 9 in.

His second Jump is 3 ft, 11 in.

We know,

\(1\ ft=12\ in\)

Converting inches to feet

First Jump in feet

\(\Rightarrow 5\ ft+\frac{9}{12}\ ft=5.75\ ft\)

Second jump

\(\Rightarrow 3\ ft+\frac{11}{12}\ ft=3.916\ ft\)

The difference in the measurement of two Jumps is

\(\Rightarrow 5.75-3.916=1.834\ ft\)

So, Walter first Jump is 1.834 ft higher than the second Jump

The distance of the flowerbed to the hive is 864 feet.

The resulting displacement between two places is defined as distance. It is sometimes referred to as a line segment. It is determined using the conventional distance formula. This allows for the examination of the characteristics like intercepts and slope.

Calculate the time and distance using the provided inputs, as per the question.

Here, the common formula for speed is applied: Distance times speed (Time)

Let's assume that the distance is now d.

Thus, it takes d/12 seconds to go directly from a flower bed to a hive.

Likewise, it takes d/8 seconds to go from the flower bed to the hive.

And the bee spent a total of: 22-19 = 3min. = 180 seconds.

The formula is now expressed as follows: d/12 + d/8 = 180 20d = (180)(12)(8) =(9)(96) d= 864 feet.

To learn more about the distance from the given link:

https://brainly.com/question/23848540

#SPJ9

Answer:

total no = 11

probability of getting red marble

=no of red/total no

=9/2

If Lucinda used a random selection method, made an effort to ensure that the sample is representative, and the sample size is large enough, then it's possible that the sample is indeed random.

what are perpendicular lines?

Perpendicular lines are two lines that intersect at a 90-degree angle, forming four right angles at the point of intersection. In other words, if you were to draw a perpendicular line from one of the lines to the other at their point of intersection, it would form a right angle with each of the original lines.

Without having access to more information about how Lucinda selected the sample of students, it's difficult to determine whether or not the sample is truly random.

However, there are a few things that we can consider when trying to determine whether or not the sample is random. For example:

Did Lucinda use a random selection method to choose the students? If she simply surveyed her friends or classmates, for example, the sample would not be random.

Did Lucinda make any effort to ensure that the sample is representative of the larger population of students? For example, did she make sure to include students from a variety of grades, genders, and ethnic backgrounds.

Therefore, if Lucinda used a random selection method, and made an effort to ensure that the sample is representative, and the sample size is large enough, then it's possible that the sample is indeed random.

To learn more about perpendicular lines here is the given link -

https://brainly.com/question/18271653

#SPJ1

Answer:

129

Step-by-step explanation:

Collinear means that the points X, Y, and Z are on the same line. The question asks for one possible value of YZ, so for this, let's assume point X is between Point Y and Point Z.

This means...

XY+XZ=YZ

54+75=YZ

YZ=129

1.  - 62.34

2. - 1.4997

3. - $76.49

4. - 23.29

5. - 0.27

6. - $28.26

7. - 0.378

8. - 7.08

9. - 0.3

10. - 1.64

Answer:

1. 62.34

2. 1.4997

3. $76.49

4. 23.29

5. 0.27

6. $28.26

7. 0.378

8. 7.08

9. 0.3

10. 1.64

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

Learn more about spirometry and its significance in assessing lung function:

https://brainly.com/question/18155241

#SPJ11

Answer:

It is B i think

Using the z table, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

In the given question,

We have to find that the probability that a standard normal random variable will be between 0.3 and 3.2 .

We firstly learn about a standard normal random variable which is expressed with a mean and standard deviation.

Since we have to find the probability that a standard normal random variable will be between 0.3 and 3.2 .

So The probability should be

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

From the standard value of z

P(0.3<z<3.2)=0.9993−0.6179

Simplifying

P(0.3<z<3.2)=0.3814

Hence, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

To learn more about standard normal random variable link is here

brainly.com/question/14782203

#SPJ4

Answer: 94, 86

Step-by-step explanation:

x + x/2 + 39 = 180

x + x/2 = 180 - 39

x = 94

Other angle is 180 - 94 = 86

Answer: 44 inches

Step-by-step explanation:

Answer:

A. -21

Step-by-step explanation:

Subtract 7 to both sides.

7+x= -14

-7        -7

x= -21

Answer:

sorry i dont no

Step-by-step explanation:

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

To know more about proportional savings, refer here:

https://brainly.com/question/29251832#

#SPJ11

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Step-by-step explanation:

the point and goal is to come up with a series of multiplications of terms that is equivalent to the original sum of terms.

in doing so, we try to find the same common factors in the sub-groups we are building.

so, the error was to use "-" with the last term, as this "destroyed" the common factor.

it should have been

3x(2x - 3) + 4(2x - 3)

which gives us via the common terms

(2x - 3)(3x + 4)

that is the correct factoring.

Using the sum of the sides of the triangle, it is found that the possibility that will form a triangle is:

Side = 14 cm, side 6 cm,side = 9 cm

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

In this problem:

Hence the correct option is:

Side = 14 cm, side 6 cm,side = 9 cm

To learn more about the sum of the sides of the triangle, you can take a look at https://brainly.com/question/25401493

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

(A) Its initial speed was 21.76 m/s.

(B) The actual altitude is (18+ 6.17) m = 24.17 m

(C) Time elapsed since it was thrown is 2.22 sec

(D) 4.44 sec will it take the baseball to reach ground again, counting from the moment it passed the window upward.

Part A:

Let u be the starting velocity.

At a height of 18 meters above the earth, the velocity is stated as 11 m/s.

Next applying equation

v² = u² +2as, where a refers to acceleration and s refers to displacement

substituting the values

11² = u² - 9.8×18 (Since given that the ball going upward a=g = gravitational acceleration= 9.8 m/s2 )

u = √(121 + 352.8)

u = 21.76 m/s

Part B:

After the building's window, let the ball's altitude be H.

Using the equation once more

v² = u² +2as

0 = 11² - 2 × 9.8 × H (since once at altitude, the final velocity will be zero.)

We get,

H= 121/19.6

H = 6.17 m

So the actual altitude is (18+ 6.17) m = 24.17 m

Part C:

Let the time elapsed is t

The using the equation v= u +at

0 = 21.76 - 9.8 × t

t = 2.22 sec

Part D:

The time taken by the baseball will be exactly double the time taken to reach the highest altitude that is 2.22 sec.

So the time is 2.22×2 = 4.44 sec.

To know more about initial speed here

https://brainly.com/question/28060745

#SPJ4

Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.

ANOVA is a statistical analysis technique that divides systematic components from random factors to account for the observed aggregate variability within a data set. The presented data set is statistically affected by systematic factors but not by random ones. The ANOVA test is used by analysts to evaluate the impact of independent factors on the dependent variable in a regression analysis.

Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.

A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

If no true variance exists between the groups, the ANOVA's F-ratio should equal close to 1.

learn more about Analysis of variance,

https://brainly.com/question/30399775

#SPJ4

Answer:

The slope is 1/4!

Step-by-step explanation:

The formula to find slope is y2-y1 the x2-x1. Hope this helps!