Answer:
The value of x is B root 58
A number line that represents k > 5
Answer:
any number from 6 and above
Write a unit rate for the situation $24 for 3 pounds
The volume of cracker boxes are normally distributed, with a mean of 7 oz and a standard deviation of 0.2 oz. If a box is selected at random, What is the probability of getting an amount between that is at least 7.5 oz
Answer:
0.0062 = 0.62% probability of getting an amount between that is at least 7.5 oz.
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.
Mean of 7 oz and a standard deviation of 0.2 oz.
This means that [tex]\mu = 7, \sigma = 0.2[/tex]
What is the probability of getting an amount between that is at least 7.5 oz?
This is 1 subtracted by the pvalue of Z when X = 7.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.5 - 7}{0.2}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability of getting an amount between that is at least 7.5 oz.
The fraction 1/2 and 3/6 are equal. True or False
Answer:
true
Step-by-step explanation:
3 is half of 6
1 is half of 2
Answer:
True
Step-by-step explanation:
I need help with this, please answer right I will give brainelist
Answer:
1 D. 400 spins
2 C.4/20
3 A. 6/20
Step-by-step explanation:
1
The more times you run a probability-based trial, the more likely you are to get close to the theoretical frequency.
2
Since 1 and 2 represent goals, just find the options that have three/four 2's and 1's. These are 5212, 2152, 2512, and 2112. Since there are 4 options out of 20, we can say our probability is 4/20
C
Since 1 and 2 represent goals, we have to find the options where there are no 1's or 2's. These are 6643, 3554, 4533, 6634, 4536, and 5546. Since there are 6 options out of 20, we can say our probability is 6/20
?????????????????????
Answer:
5x^2 + 7x
option C is your answer
Nielsen Rating: The television show nbc Sunday night football broadcast a game between the colts and patriots and received a share of 22, meaning that among the tv sets in use, 22% are turned to that game (based on data from Nielsen Media Research). An advertiser wants to obtain a second opinion by conducting its own surveys and a pilot survey begins with 20 households having tv sets in use at the time of that same nbc Sunday night football broadcast.
a. Find the probability that none of the households are turned to nbc Sunday night football (3 digits)
b. Find the probability that at least one of the households is turned to nbc Sunday night football.(3 digits)
c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)
d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?
Answer:
a. 0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football
b. 0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.
c. 0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football
d. 1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.
Step-by-step explanation:
For each household, there are only two possible outcomes. Either it is tuned to Sunday Night Football, or it is not. The probability of a household being tuned to Sunday Night Football is independent of any other household. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
22% are turned to that game
This means that [tex]p = 0.22[/tex]
Sample of 20 households:
This means that [tex]n = 20[/tex]
a. Find the probability that none of the households are turned to nbc Sunday night football:
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]
0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football.
b. Find the probability that at least one of the households is turned to nbc Sunday night football.
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
Since P(X = 0) = 0.007
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.007 = 0.993[/tex]
0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.
c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)
This is
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]
[tex]P(X = 1) = C_{20,1}.(0.22)^{1}.(0.78)^{19} = 0.039[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.007 + 0.039 = 0.046[/tex]
0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football.
d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?
A measure is considered unusually low if it is more than two and a half standard deviations below the mean.
The mean is:
[tex]E(X) = np = 20*0.22 = 4.4[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.22*0.78} = 1.8526[/tex]
4.4 - 2.5*1.8526 = -0.2.
1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.
What is the median of this data set:
4, 2 ,5 ,7, 2 ,8, 5 ,6 ,6
Step-by-step explanation:
2 is the answer because it's in the middle
24 + m = 49 help plz
Answer: m=25
Step-by-step explanation: 49 - 24= 25
Kody wants to test to be sure his soap dispenser design works fairly for people with different skin colors. He
selects separate random samples of 25 workers with light skin and 25 with dark skin. For each worker, he
measures the maximum distance from the dispenser at which it detects the employee's hand. Then he looks at
the difference in the sample means ( Light - TDark).
What do we know about the shape of the sampling distribution of Light - TDark, and why?
Answer: The shape cannot be determined since we don’t know the shape of either population distribution.
Step-by-step explanation:
Using the following equation, complete the square and find the center and radius of the circle: x^2+ y^2 + 4x - 6y - 12 =0
Please help it’s a timed test
Answer:
Circle with the radius r=5 and the center (-2,3)
Step-by-step explanation:
Answer:
radius: 5 and center: (-2,3)
Step-by-step explanation:
The standard form of the equation after completing the square is
(x+2)^2+(y-3)^2=25
Which conclusion can be drawn from the data?
Question 9 options:
For ten weeks, City A received less rainfall, on average, than City B.
The range between the maximum and minimum values for City B is greater than the range between maximum and minimum values for City A.
During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
The median for City A is less than the median for City B.
Answer:
During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
Step-by-step explanation:
Given the data :
City A :
Reordered data:
0, 0.2, 0.2, 0.3, 0.4, 1, 1.3, 1.5, 2.5, 3
City B :
Reordered data:
0, 0, 0.1, 0.1, 0.2, 0.3, 0.4, 1, 1, 1
Using a calculator :
Mean Rainfall for City A = 1.04
Mean rainfall for city B = 0.41
Range : maximum - minimum
City A = 3 - 0 = 3
City B = 1 - 0 = 1
Mode (most occurring) :
City A = 0.2
City B = 1
Median :
City A = 0.7
City B = 0.25
The only true conclusion in the options given that can be drawn from the data is that ;During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
Answer:
the Answer is C.
Step-by-step explanation:
I just took the test
Write the sum using summation notation, assuming the suggested pattern continues. 4 - 12 + 36 - 108 + ...
9514 1404 393
Answer:
[tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]
Step-by-step explanation:
The first term of this geometric series is 4. The common ratio is -12/4 = -3, so the general term is ...
an = 4·(-3)^(n-1)
The sum is the sum of terms of this form.
[tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]
Solve the inequality: 4x-2<10
Answer:
w < 3
Step-by-step explanation:
One can solve an algebraic inequality just like how one solves an algebraic equation, by using inverse operations. The only major difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign, this rule does not come into play in the given inequality.
4x - 2 < 10
+2 +2
4x < 12
/4 /4
w < 3
23. If 25% of a number is 75. find the number.
A. 700 B. 600 C. 500 D, 400 E. 300
Answer:
23.E
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻
Answer:
[tex]300 \\ \\ answer \: \: E\: \: is \: \: correct[/tex]
Step-by-step explanation:
Let the unknown number be x
[tex]x \times \frac{25}{100} = 75 \\ x = \frac{75 \times 100}{25} \\ x = 300[/tex]
Hope this helps you
Can I have the brainliest please?Plz Help! I'll put you Brainliest
Answer:
Step-by-step explanation:
What is the best estimate of the value of ln 16?
Answer:
6
Step-by-step explanation:
I think
Corresponding Angles are congruent.
Which angle corresponds with <2?
Answer:
angle 4 and angle 8 are congruent
Answer:
[tex]\angle{6}\:corresponds\:\angle{2}[/tex]
4. Jeanne has $17.50 in her piggy bank. How much money, m, does she need to buy a game that costs $68.75?
5. A number increased by 18 is 50.
6. A number when multiplied by 3 is -21
7. A number divided by -8 is 6
8. Ellen is x years old right now. In thirteen years she will be 24 years old. How old is she now?
9. Each piece of candy costs 0.25 cents. Sam bought a handful of candy and it costs a total of $2.00. How many pieces did he buy?
10. Suzanne made a withdrawal from her savings account. Her old balance was $350.72, and her new balance is $280.20. How much did she withdraw?
11. A large pizza has s, amount of slices that are split among 5 kids. The amount of slices each kid gets is 3. How many slices were there total?
Answer:
5)32
6)-7
7)-48
8)11
9)800
10)70.52
11)15
Step-by-step explanation:
5 + (1/7)b = -2 find what b equals
Answer:
b= -49
Step-by-step explanation:
Well first isolate the number with the variable by performing inverse operations
1/7b= -7
now multiply by 7 on each side to isolate the variable.
b= -49
B is negative 49
Solve for x to the nearest degree.
An equation is modeled below.
ООО
ОООО
ООООО
1
Key:
Which value of x would make the equation true?
O х = 6
OX 3
Oxe 1
Ox= 9
Answer:
x=6
Step-by-step explanation:
get your cup alone by removing the 3 balls. When I take one ball away from one side I have to take it form the other as well. so subtract 3 balls from both sides
x=6
Exercise 8.12 introduces data on the average monthly temperature during the month babies rst try to crawl (about 6 months after birth) and the average rst crawling age for babies born in a given month. A scatterplot of these two variables reveals a potential outlying month when the average temperature is about 53F and average crawling age is about 28.5 weeks. Does this point have high leverage
Answer:
The point has a high leverage
Step-by-step explanation:
The point has a high leverage as it would act as an infinitesimal point that will have a very huge/drastic impact on the fit of the model, and this impact can be seen in such ways as listed below :
Smaller coefficient of determinationHigher sum of squares errorremoving this point will eliminate these drastic impact and make the correlation to be better.
From the information given about the outliner, the given point is not influential and therefore does not have high leverage.
What is an outliner?An outlier refers to a data point whose response does not follow the general trend of the rest of the data.
A data point has high leverage if it has an extreme predictor x value. Here, x = 53 and, y = 28.5.
X is not an extreme point, the data point is not high leverage but an outlier. The data point doesn't follow the general trend of the rest of the data.
Hence the given point is not influential.
Learn more about outliner on:
https://brainly.com/question/3631910
4. June's portfolio of stocks includes 177 shares of Parcher, 213 shares of Giaco
Household Goods, and 152 shares of Raxin Accounting. If Parcher pays yearly
dividend of $8.21 per share. Giaco Household pays $6.97 per share and Raxin
pays $11.44 per shares, how much does June earn in dividends per year?
Find the measure of angle x 125
Answer:
x = 125 degrees
Step-by-step explanation:
The vertical angles theorem states that two angles opposite to each other that are formed from 2 intersecting lines are congruent.
Therefore, angle x and the angle that is 125 degrees are congruent to each other.
So, x=125 degrees.
Hope this helps! :)
greatest comon factor of 80 20
Answer:
The greatest common factor of 80 and 20 is 20
Step-by-step explanation:
Terry's brother can paint a room in 3 hours less than Terry can paint it. Working together they can complete the job in 2 hours. How much time would require Terry to paint the room working alone? Enter just the number no words.
Answer:
6
Step-by-step explanation:
the equation would be 2/(x-3) + 2/x = 1 derived from the work formula of T/A + T/B = 1; T representing total time working together, A/B respectively representing the two different rates of working. In the end Terry would spend 6 hours working alone.
I need with help with this question
Answer:
the answer is 3
Step-by-step explanation:
(NO LINKS.)If two angles of an isosceles triangle are each 19.1°,
what is the measure of the 3rd angle? *** Remember
triangle angle sum.
Just help!!!! Please!!!!
Answer:
141.8
Step-by-step explanation:
the angles of a triangle add up to 180
180-19.1-19.1= 3rd angle
141.8
A carpenter worked for 4 days to finish a repair job.
She charged $825 for 15 hours of work.
What is the carpenter’s rate per hour?
A
$55
C
$85
B
$58
D
$182