If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less than the advertised weight of 466 g

Answers

Answer 1

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that [tex]\mu = 489, \sigma = 6[/tex]

What is the probability that the box will contain less than the advertised weight of 466 g?

This is the p-value of Z when X = 466. So

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

[tex]Z = \frac{466 - 489}{6}[/tex]

[tex]Z = -3.83[/tex]

[tex]Z = -3.83[/tex] has a p-value of 0.000064

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.


Related Questions

8 less than the sum of 9 and s​

Answers

 8 - (9 + s)

Is this it?

points points points have a great day !!!

Answers

Answer:

thx for the points and i hope you will also have a great day ahead!!

Answer:

I'll take that thank you!

Step-by-step explanation:

so basically, you multiply the quotient of of the diameter of the sun in 5 years and 74 apple trees in the equator and subtract the sum of that to get the numeral answer of the equation which is 69 then you flip the earth to a 180° angle which sets the moon 420km away from venus which results in the moon orbiting the galaxy at 69.000 km per sec which then results to the moon vomiting at earth making a huge swamp then that said swamp emits 500 shreks then the shreks eat humanity leading to shrek ruling the milky way

Can y’all help me on question 10?!

Answers

Answer: 64 square inches (choice B)

========================================================

Explanation:

Split the house shaped figure into a triangle on top and a rectangle down below.

The rectangle has area of length*width = 8*6 = 48 square inches. The 6 is from 10-4 = 6.

The triangle has area of base*height/2 = 8*4/2 = 32/2 = 16

Overall, the total area is 48+16 = 64 square inches

Plot the points (-6,8)(−6,8)left parenthesis, minus, 6, comma, 8, right parenthesis and (0,8)(0,8)left parenthesis, 0, comma, 8, right parenthesis on the coordinate plane below.

Answers

Answer:

hello I cant help you right now try again later

Consider the following generic fixed effects model, along with a two-period (t = 1, 2), randomly sampled panel data set with dependent variable y and independent variable x: y_it = beta_0 + delta_0 d2_t + beta_1x_it + a_i + u_it where y_it = value of y for individual i at time t d2_t = binary variable equal to 1 in the second time period (t = 2), and 0 otherwise (t = l) x_it = value of x for individual i at time t a_i = unobserved (time-invariant) effect u_i = idiosyncratic error Taking the first difference of the model (that is, subtracting the regression equation for t=l from the regression equation for t=2) yields the following first-differenced equation: delta y_i = y_i2 - y_i1 = You now plan to use OLS to estimate your first-differenced equation, in order to obtain the first-differenced estimator. Suppose that delta x_i is correlated with delta u_i. True or False: The first-differenced estimator is unbiased.
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

The difference estimator is used to address the problem of omitted variables. It is used with standard fixed effects model and the data correlated is identified using regression model. The first differenced estimator used in the equation is unbiased.

Evaluate [315 + 6) + 2] : 7
23
O
0
03
05

Answers

Answer:

323 : 7

Step-by-step explanation:

[ ( 315 + 6 ) + 2 ] : 7

[ 321 + 2 ] : 7

323 : 7

A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.

Answers

Answer:

correct me if i'm wrong but it's 57.32 degrees?


A line passes through the point (8. -8) and has a slope of
5/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 5/4x - 18

Step-by-step explanation:

The slope, intercept form of a straight line is;

y = bx + c

Where, y = slope, given as 5/4

(x, y) is given as ; (8, - 8)

Hence, we need to obtain the value of c, which is the intercept.

x = 8 ; y = - 8

-8 = 5/4x + c

-8 = 5/4(8) + c

-8 = 10 + c

-8 - 10 = c

-18 = c

Hence, equation becomes ;

y = 5/4x - 18

ABCD ~ QRST
· Find the missing side length, m

Answers

Since ABCD ~ QRST

AB/QR = AD/QT

=>6/m= 9/6

=> m = (6×6)/9 = 36/9 = 4

Answer:

m=4

Step-by-step explanation

since they are similar triangle .use these ratios

given:AB=6  , AD=9 , QR=m , QT=6

AB/QR=AD/QT

6/m=9/6

do cross multiplication

m*9=6*6

9m=36

m=36/9

m=4

therefore the value of m is 4

What conclusion can be determined from the dot plot below? A dot plot showing two dots above 6, 7, 8, 9 and 10 each. (3 points) a The number of observations is 5. b The median of the data set is 5. c The mean of the data set is 8. d The range of the data set is 8.

Answers

Answer:

C. The mean of the data set is 8.

Step-by-step explanation:

From the dot plot we can make a frequency table as follows:

Number of books read                      Frequency

       6                                                       2  

       7                                                       2

       8                                                       2

       9                                                       2

       10                                                      2

Since, the number of dots are  10 or then sum of the frequencies is 10.

           Hence, the number of observations are 10.

Also, the median of the set is: 8

Now, the mean is calculated as:

                  Hence, Mean of the data set is: 8

Now, the range of the data set is the difference between the minimum and the maximum value.

                  Hence, range=10-6=4

           The range of the data set is 4.

Answer:

c

Step-by-step explanation:

Help with number 4 I'm stuck on this algebra test with my kid and neither of us understand it

Answers

Answer:

a) x = 4

b) x = 8

c) y = -7

d) y = -10

Step-by-step explanation:

Solve by substitution on all

a)

3x + 2y = -5

3x +2 * -17/2 = -5

3x - 17 = -5

3x = -5+17

3x = 12

x = 12/3

x = 4

please help! (listing BRAINLIST and giving points) ​ :D​

Answers

Step-by-step explanation:

here,

p=5

h=8

b=?

we know that,

b²=h²-p²

= 8²-5²

=39

b=√39

now

cot=b/p

= √39/5

CSC=h/p

=8/5

sin=p/h

=5/8


A man invests K8 000 for 5 years at 10%p.a. compound interest.

Calculate the investment value at the end of 5 years.​

Answers

Answer:

Step-by-step explanation:

Compoud interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. the formula is:

[tex]c_n=c_o(1+i)^n\\\\c_o->initial~invesment\\i->interest\\n->number~of~ intervals[/tex]

[tex]c_5=8000(1+\frac{10}{100})^5\\c_5=12848.88[/tex]

A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)

Answers

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

pls help me do this question but pls don't get it wrong this is my last attempt ​

Answers

Answer:

y ≤ 5

Step-by-step explanation:

5 is the highest y value in this graph. All other y values are below 5.

if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC

Answers

Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

AB = DEBC = EFCA = FD

A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 20% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 10% during the current year. In addition, it estimates that 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

Required:
a. What percentage of the employees will experience lost-time accidents in both years?
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

Answers

Answer:

a. 5% of the employees will experience lost-time accidents in both years

b. 24% of the employees will suffer at least one lost-time accident over the two-year period

Step-by-step explanation:

a. What percentage of the employees will experience lost-time accidents in both years?

20% last year, of those who suffered last year, 25% during this year. So

[tex]p = 0.2*0.25 = 0.05[/tex]

5% of the employees will experience lost-time accidents in both years.

b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

5% during the two years.

10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.

First year yes, not on the second.

75% of 20%. So, total:

[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]

24% of the employees will suffer at least one lost-time accident over the two-year period

Find the value of x.

Answers

Answer:

A

Step-by-step explanation:

because this shapes angle would be out of 360 so you do 360-83-85-69=123 is the answer you get.

hope it make sense:)

The area of a rectangle is three times the area of a square. What is the width of the rectangle if it's length is 24 in. and the side of the square is 12 in?

Answers

Answer:

18 in

Step-by-step explanation:

Area of rectangle = 3 times the area of the square

Area of square = a² ; a = side length

a = 12 in

Area of square = 12² = 144 in²

Area of rectangle = 3 * 144 = 432 in²

Length of rectangle = 24 in

Width = x

Area of rectangle = length * width

432 = 24 * x

x = 432 / 24

x = 18 in

Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sample data below show the number of companies providing health insurance for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than employees. Medium-sized companies have to employees, and large companies have or more employees. The questionnaire sent to employees asked whether or not the employee had health insurance and then asked the enployee to indicate the size of the company. Health Insurance Size of Company Yes No Total Small 33 17 50 Medium 68 7 75 Large 88 12 100 a. Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company. What is the -value? Compute the value of the test statistic (to 2 decimals). The -value is - Select your answer - Using level of significance, what is your conclusion? - Select your answer - b. A newspaper article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number). Small Medium Large Based on the percentages calculated above, what can you conclude? - Select your answer -

Answers

Answer:

There is not enough statistical evidence to suggest that the health insurance coverage is independent of the size of the company

Step-by-step explanation:

The given data presented in tabular form is presented as follows;

[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34&16&50\\Medium&61&14&75\\Large&85&15&100\end{array}[/tex]

The null hypothesis, H₀; The two data are independent

The alternative hypothesis Hₐ; The variables are dependent

[tex]Expected \ value = \dfrac{(Row \ total) \times (Column \ total) }{Table \ total}[/tex]

The expected value are the values in parenthesis in the following table;

[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34(40)&16(10)&50\\Medium&61(60)&14(15)&75\\Large&85(80)&15(20)&100\\Total&180&45&225\end{array}[/tex]

[tex]\chi ^2 = \sum{\dfrac{ \left(O_i - E_i \right)^2}{E_i}[/tex]

Therefore

χ² = (34 - 40)²/40 + (16 - 10)²/10 + (61 - 60)²/60 + (14 - 15)²/15 + (85 - 80)²/80 + (15 - 20)²/20 ≈ 6.1458

The degrees of freedom = (2 - 1)·(3 - 1) = 2

The p-value from the Chi-square table is 0.05 < p-value < 0.01

Given that the p-value is larger than the significant value, we have that data is not statistically significant and we fail to reject the null hypothesis.

Therefore, the health insurance coverage is independent of the size of the company

Can someone please help me:(​

Answers

=======================

[tex]\huge\bf{\color{Green}{Question:}}[/tex]

Find the volume of each solid. Round to the nearest tenth.

[tex]\huge\bf{\color{orange}{Solution:}}[/tex]

Volume of the solid given = Volume of the small cone + Volume of the large cone.

[tex]\sf{V(solid)=V(small)+V(large)}[/tex]

[tex]\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}[/tex]

=======================

#Hope it helps you, mate!

(*°∀°)=3

City A is due north of City B. Find the distance between City A ​( north​ latitude) and City B ​( north​ latitude). Assume that the radius of Earth is 3960 miles.


The distance between City A and City B is ___miles.


Can someone help?! Show me step by step how this is done that I can understand it better.

Answers

Answer:  1679

=========================================================

Explanation:

The notation [tex]47^{\circ}4'[/tex] means "47 degrees, 4 minutes". The "minutes" isn't referring to a time value, but instead they are arc minutes. If we divide one degree into 60 equal pieces, then we form 60 arc minute slices. So in a sense, we are using a round analogue clock to help connect the two ideas.

We can convert to purely degrees through using this formula here

[tex]a^{\circ}b' = a + \frac{b}{60}[/tex]

So,

[tex]47^{\circ}4' = 47 + \frac{4}{60} \approx 47.06667^{\circ}[/tex]

and similarly,

[tex]22^{\circ}46' = 22+ \frac{46}{60} \approx 22.76667^{\circ}[/tex]

Now subtract the two results we got

47.06667-22.76667 = 24.3

The angular distance between the two cities is 24.3 degrees. By "angular distance" I basically mean how far you need to rotate your viewing angle when looking from city A to city B. Imagine that you're able to be situated at the center of the earth.

The circumference of the earth is

C = 2*pi*r

C = 2*pi*3960

C = 24,881.4138164311

which is approximate and the units are in miles. We multiply by the fraction 24.3/360 to find the arc distance along the curve that corresponds to the angle 24.3 degrees. This is because we don't want the whole circumference, but just a small fraction of it.

So (24.3/360)*24,881.4138164311 = 1,679.4954326091

This rounds to 1679

The distance between the two cities is about 1679 miles.

9514 1404 393

Answer:

  1679 miles

Step-by-step explanation:

One minute is 1/60 of a degree, so the difference in latitudes is ...

  47 4/60 -22 46/60 = 24 18/60 = 24.3 . . . degrees

The arc length is given by ...

  s = rθ . . . . . . r = radius, θ = angle in radians

180° is π radians, so the surface distance between the two cities is ...

  s = (3960 mi)(24.3×π/180) = 534.6π mi ≈ 1679.495 mi

The distance between City A and City B is about 1679 miles.

_____

Additional comment

As a good approximation, the distance is about 60 nautical miles per degree of latitude. Using that approximation, and converting from nautical miles to statute miles would give a distance of 1678 miles.

I’ll mark brainliest

Answers

Answer:

the answer is A

Step-by-step explanation:

the granpa bought 3 of the hoagie meals which means its 8×3 which is 24.

therefore he bought x of the burger meals. which means that it must be 6× X which means it is 6x.

lastly they ask for the total cost so you need to add the 24 to the 6x to get the total

comment faire un patron d un prisme

Answers

Le volume d'un prisme triangulaire peut être trouvé en multipliant la base par la hauteur. Les deux images des prismes triangulaires ci-dessous illustrent la même formule. La formule, en général, est l'aire de la base (le triangle rouge dans l'image de gauche) multipliée par la hauteur, h.

Answer:

oui

Step-by-step explanation:

In parallelogram JKLM if m

Answers

Answer:

155 degree

Step-by-step explanation:

x + 25 = 180 degree (sum of adjacent angles of a parallelogram are equal)

x = 180 - 25

x = 155 degree

If the mean of a normal distribution is 105, what is the median of the distribution? O A 315 OB. 105 O C. 420 D. 210 SUBM​

Answers

Answer:

105

Step-by-step explanation:

A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.

For the scenario given,

Since mean = 105 ; then median = 105

¿Qué pasó en La Noche Triste?​

Answers

Step-by-step explanation: La Noche Triste (Spanish for "The Sad Night") was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. ... Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Location: Tenochtitlan

End date: July 1, 1520

Date: June 30

Answer:  was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Step-by-step explanation:


[tex]9x {}^{2} y {}^{3} z {}^{5} \div 6x {}^{3} yz {}^{2} [/tex]

Answers

Answer:

3y²z³ / 2x

Step-by-step explanation:

we can take one term at a time:

9/6 can be simplified to 3/2

x²÷x³ = x^-1 which equals [tex]\frac{1}{x}[/tex]

y³÷y = y²

z⁵÷z² = z³

put it all together:

3·[tex]\frac{1}{x}[/tex]·y²·z³ / 2  or

3y²z³ / 2x

Construct the 90% confidence interval for the proportion of students at the college who have completed their required English 101 course. Enter your answers as decimals (not percents) accurate to three decimal places. The Confidence Interval is

Answers

Answer:

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.

please answer only neeed solve questions​

Answers

Answer:

please answer only neeed solve questions

Step-by-step explanation:

I think hlp

Answer: No question asked.

Step-by-step explanation:

If you are making a problem, please actually ask a question. It will use your points if you make questions that don't really mean anything. Thank you.

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