Step-by-step explanation:
cos x = 59/95
x = 0.9007
round this and you have your answer
Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Compare using >, <, or =.
11 yards
51 feet
Answer:
11 yards is 33 feet
11 yards < 51 feet
320% of 69 is what number?
Answer:
220.8
Step-by-step explanation:
I believe 220.8
sorry if I am wrong.
Answer:
320×69÷100
answer * number is 220
p/o/i/t/s/f/r/e/e/;)
denada
Given m || n, find the value of x and y.
(5x+16)
m
(y+6)
(7x+4)
n
Answer:
3<+2=13 is the answer
Step-by-step explanation:
The vertices of a rectangle in the coordinate plane are located at (4, -3), (4,5), (-5,5), and (-5, -3).
Can someone help me please
Answer:
The length would be 25/5 which is 4.8
Answer:
l=8 or -3
Step-by-step explanation:
You can write this into an equation!
It will be l*(l-5)=24
Now, we can just solve.
We have to expand the equation and so on.
Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode
The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.
What is mean?The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.
The data set is;
1,6,8,8,8
Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.
If the outlier is removed mean, range, and median will changes.
Hence options A, B and C are correct.
To learn more about mean refer:
https://brainly.com/question/13451489
#SPJ2
this is adding and subtracting of like and unlike terms
ab+bc=
Answer:
b(a+c) this is answer okay
Answer:
Step-by-step explanation:
ab+bc
b(a+b)
u can add two term only if they have same base.
Answer nyo po to...Ang hirap(;-;)....pls. Lang po
The answer goes here,
a) We have to tell the time and day which simone has to tell her sister, for picking her up from airport.
b) We have given the day (monday), time(7:00 pm) and total time to reach the destination(18 hours).
c) No such formula will be used here, we will just use our mental ability to solve this question.
d) She will leave at 7:00 pm, day has 24 hours. So, she will be in the flight on monday:
= 24 - (12 + 7) ----------- [12 here means the time of rest of the day,(morning to noon)]
= 24 - 19
= 5 hours
So, she will complete 5 hours of her destination on monday,now the time left is:
= 18 - 5
= 13
= (12 + 1 )hours
So, on tuesday, she will be in the flight for 12 hours (noon) and then on 1:00 pm she will reach the airport, as she needs and extra hour to plane so, the final time is 1:30 pm. And finally, the time she should tell her sister is 1.30 pm.
An ice-cream shop uses 1/6 box of waffle cones each day they are open. The shop is open 5 days a week. Which equation shows the amount of a box of waffle cones the ice-cream shop uses in a week?
Answer:
5/6
Step-by-step explanation:
1/6 x 5=5/6
Solve number 3 please, with explanation
Answer:
97,655
Step-by-step explanation:
5(5)^(n-1) = 78,125
5^n = 78,125
n = 7
=> S7 = 5(5^7 -1) / (5-1)
= 5/4 (78, 125 -1)
= 5/4 (78 124) = 97,655
10 points! If correct you get brainliest.
Which one's apply?
Answer:
The answer is C and E
Step-by-step explanation:
Problem 1
A right isosceles triangle has legs 6 meters long each. Find the length of the
hypotenuse to the nearest tenth of a meter.
Draw a picture
Solve the problem. Show your work!
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.
Anyone know?
Answer: The probability that a value is less than 36.8 is 0.9993.
Step-by-step explanation:
Let X be the random variable that normally distributed.
Given: [tex]\mu=32,\sigma=1.5[/tex]
The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]
[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]
Therefore, The probability that a value is less than 36.8 is 0.9993.
An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. She considers 6 different temperatures, 5 different pressures, and 4 different catalysts are under consideration.
a. If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible?
b. How many experimental runs are there that involve use of the lowest temperature and two lowest pressures?
c. Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?
Answer:
a) 120 possible experimental runs
b) 8 possible experimental runs
c) 0
Step-by-step explanation:
a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.
N = T × P × C
N = 6 × 5 × 4 = 120
b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.
N = T × P × C
N = 1 × 2 × 4 = 8
c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.
The measure of an angle is 32.3°. What is the measure of its complementary angle?
Answer:
57.8 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90
Can anyone help me find the function for this trig graph ? i need a specific answer for the function , not just telling me how to find it . 80 pts
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
Write the Equation of a line given slope and y-intercept or points
1) b = 17/5 and m=3
Answer:
I'm sorry hindi ko po alam
Divide the following complex numbers:
(4-i)/(3+4i)
A.-8/7 + 19/7i
B. 16/25 - 19/25i
C. 8/25 - 19/25i
D. -16/7 + 19/7i
Answer:
C. 8/25 - 19/25i
Step-by-step explanation:
Given that:
[tex]\dfrac{4-i}{3+4i}[/tex]
[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]
[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]
[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]
A math recap workshop is provided to the first year students entering a city college. To evaluate the workshop effectiveness, a study is conducted as following: 20 students with similar math backgrounds are randomly selected for the study. Of the 20 students, 10 of them are selected to attend the workshop and the other 10 do not attend the workshop. After the workshop has taken place a test is given to all 20 students. What is the appropriate inference test to use in this situation
Answer:
Independent sample t test
Step-by-step explanation:
The Independent sample t test could be explained as a statistical test carried out in other to establish or examine if significant difference exists between two independent samples. That is the outcome of the samples do not depend on one another. Using the scenario described above, the difference between the same variable is measured for two different groups which is the ideal set up for an independent sample t test. The difference between test score for two independent samples (those who attended the workshop and those who did not) is being compared.
Math- bbbbbbbbbbbbbbb
Answer:
b
Step-by-step explanation:
Answer:
B is the correct answer
Hope this helps!! :D
Plz help me well mark brainliest if correct
Answer:
C) 86
Step-by-step explanation:
To find the mean you first add all of the numbers together. So you would add 75+90+84+95=344. Then you would divide the sum by the amount if numbers there are. So it would be 344÷4 =86
Hope this helped :)
Answer:
x = 75, 90 , 84, 95
[tex]Mean = \frac{ \sum x}{n}= \frac{75+90+84+95}{4} = 86[/tex]
Quadrilateral ABCD is inscribed. The measure of ∠A=67°. What is the measure of ∠C?
Answer:
angle C =113 degree
Step-by-step explanation:
angle A + angle C =180 degree
angle C = 180 degree - angle A
angle C = 180 degree - 67 degree
=113 degree
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
y = ( x + 9 )^2 - 2
................................
................................
The dimensions of a rectanglar sheet of metal are 9.96m by 5.08m
Find
The perimeter of the metal, correct to 1 significant figure
• Length of the metal sheet = 9.96 m
• Breadth of the metal sheet = 5.08 m
As we know that,
★ Perimeter of rectangle = 2(length + breadth)
→ Perimeter of sheet = 2(9.96 + 5.08) m
→ Perimeter of sheet = 2(15.04) m
→ Perimeter of sheet = 30.08 m
Therefore, perimeter of the rectangular sheet is 30.08 m.
I need this answer quick and try get it correct
Calculate 38% of 40
Answer:
15.2
Step-by-step explanation:
Answer:
the answer is 15.2
Step-by-step explanation:
you j multiple them
GIVING OUT BRAINLIEST !!! HELP ME PLSS
Answer:
Step-by-step explanation:
According to Cavalieri’s Principle, if all of the following have the same height, which pair would NOT have the same volume? Explain why.
Answer:
Pair 2.
Step-by-step explanation:
For the volumes to be the same the base areas must also be the same.
For Pair 2 the areas are 25π and 24π while the other 2 pairs have both base areas = 25π.
What is the growth factor for 233% growth
Answer:
Here is what you do. Make it into vertex form and then whatever the x factor is is the growth factor