Step-by-step explanation:
[tex] {x}^{2} - 8x + 15 = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: or \: x = 5[/tex]
An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which 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.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
Which graph represents a function with direct variation?
Answer:
Second graph with straight diagonal lines
Step-by-step explanation:
The second graph with straight diagonal lines represents the direct variation
The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.
Hence, If value of variable A increases, then value of variable B will also increase
Answer:
I believe it's the third one
explanation:
its one of the only graphs that the line passes through the orgin, and its linear.
Hope it helps and plase forgive me if I'm wrong
Help what’s the rule
Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?
Answer:
1 hour and 17 min
Step-by-step explanation:
it takes 30 min to get to 4 the another 30 min to get to 4:30 then 17 min to get to 4:47
Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram. WILL NAME BRAINLIST!!!!!!!!!!!
Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2
Please help me if not that’s fine no links!
Answer:
30°
Step-by-step explanation:
53°+97°+x = 180°
The sum of three angles must equal 180°
Solve the equation.
150°+x = 180°
x = 180°-150°
x = 30°
Therefore, x = 30°
on a double number line representes a heart rate in beats per min. how many minutes until the heart beats 300 times
Answer:
60
Step-by-step explanation:
A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation?
Answer:
C- Chi-square test for Homogeneity
Step-by-step explanation:
Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.
GCF of 48, 36, and 16. (this is all I need thx) :)
Answer:
4
Step-by-step explanation:
16=2^4
48=2^4·3
36=2²·3²
GCF=2^2
=4
hope this helps :)
I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG
Answer:
B) 3 5/9
Step-by-step explanation:
Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!
The expression 125 + 4n can be used to find the total price for n students to take a field trip to the aquarium. Determine the cost for 55 students to visit the aquarium.
Hurry plz
Answer:
125+ 4(55)
Step-by-step explanation:
345 is the answer
give brainliest if right
for brainliest !!!! help
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
B: 2,5
Step-by-step explanation:
Step One: We must assume this is rotating in a clockwise rotation since it is not -90 and there is no mention of it otherwise.
Step Two: To do this problem, you need to know the 90-degree rotation formula: (b, -a). This means that we make the x-coordinate negative and then switch spots with the x and y coordinates.
Step Three: By following this formula, we would make -2 negative, which makes it positive. Currently, the equation is (5, 2). Now, we need to finish the formula by swapping places: (2,5). That is the answer.
What is greater than 0.58 and less than 0.6
Answer:
0.59 im assuming
Step-by-step explanation:
Answer:
0.6=3/5
Step-by-step explanation:
Geometry Question Need Help. I will give brainliest
Answer:
-4 + 5 + 1 is your answer I am the teacher of your Colony
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
B
Step-by-step explanation:
i took the quiz have a nice day :)
Answer:
The correct answer is B
Step-by-step explanation:
2*2=4 2*6=12 2*6=12 4+12+12 = 28 28*2=56
HELP! LOOK AT THE PHOTO
Answer:
The answer to the question provided is 30.
Step-by-step explanation:
[tex]5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30[/tex]
[I apologize if the answer to the question is inaccurate]
Answer: 30
Step-by-step explanation:
The locations of three water pumping stations form a triangle on a map of the area. The distance
from station A to station B is 650 meters. The distance from station B to station C is 558 meters.
Answer:
There is a picture attached in which the drawing of the triangle is present.
Options are
1. less than 92 meters
2. Exactly 92 meters
3. Between 92 and 1208 meters
4. greater than 1208 meters.
Step-by-step explanation:
Correct answer is
3. Between 92 and 1208 meters
Reason is 92 cannot be the answer because hypotenuse of a triangle can not be smaller than base and perpendicular as per Pythagoras theorem.
Also it cannot be greater than 1208 as can be proven by Pythagoras theorem.
Therefore the correct answer has to be between 92 and 1208 meters.
Hey can someone help me measure these angles
Answer:
A is acute and B is obtuse.
Step-by-step explanation:
This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.
I need help with this noww
Answer:
B) 6/√3
Step-by-step explanation:
It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.
Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s Subscript men Baseline equals 0.98 minutes and s Subscript women Baseline equals 1.02 minutes. (a) Is there sufficient evidence to support the claim that men and women differ in repeatability for this assembly task at the 0.02 level of significance
Answer:
There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task
Step-by-step explanation:
Given
Let subscript 1 represent men and 2 represent women, respectively.
[tex]n_1 = 25[/tex]
[tex]n_2 = 21[/tex]
[tex]s_1 = 0.98[/tex]
[tex]s_2 = 1.02[/tex]
[tex]\alpha = 0.02[/tex]
Required
Determine if here is enough evidence
First, we need to state the hypotheses
[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]
[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]
Next, calculate the test statistic using:
[tex]F = \frac{s_1^2}{s_2^2}[/tex]
[tex]F = \frac{0.98^2}{1.02^2}[/tex]
[tex]F = 0.923[/tex]
Calculate the rejection region;
But first, calculate the degrees of freedom
[tex]df_1 =n_1 - 1[/tex]
[tex]df_1 =25 - 1[/tex]
[tex]df_1 =24[/tex]
[tex]df_2 = n_2 -1[/tex]
[tex]df_2 = 21 - 1[/tex]
[tex]df_2 = 20[/tex]
Using the F Distribution: table
[tex]c = \frac{\alpha}{2}[/tex]
[tex]c = \frac{0.02}{2}[/tex]
[tex]c = 0.01[/tex]
At 0.01 level (check row 20 and column 24), the critical value is:
[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound
At 0.01 level (check row 24 and column 20), the critical value is:
[tex]f_{0.01,20,24} = 2.74[/tex]
Calculate the inverse F distribution.
[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound
The rejection region is then represented as:
[tex]0.365 < Test\ Statistic < 2.86[/tex]
If the test statistic falls within this region, then the null hypothesis is rejected
[tex]F = 0.923[/tex] --- Test Statistic
[tex]0.365 < 0.923 < 2.86[/tex]
The above inequality is true; so, the null hypothesis is rejected.
This implies that, there is no sufficient evidence.
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
Walmart sells a 6oz bottle of laundry
detergent for $4.80. What is the priceper ounce?
A. $0.80
B. $0.08
C. $8
D. $0.88
Answer:
.80
Step-by-step explanation:
PLEASE JUST HELP!!!!!! Anyone!!!!
Answer:
the answer is 8 because 8 is 20% of 40
FREE BRAINLIST NEED HELP ASAP
Answer:
C. 904.78 cubic inches
Step-by-step explanation:
The volume of a cylinder = πr²h
=π(6²)(8)
=288π
=904.778684234 in³
in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?
Answer:60 female workers
Step-by-step explanation:12+18=30
30x2=60
Solve and graph and plot this on the line
What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram
Answer:
for square its A=a2
for trapezoid its A=a+b/2h
for triangle A=hbb/2
for parallelogram A=bh
Step-by-step explanation:
convert 49% into a equivalent decimal
Answer:
0.49
Step-by-step explanation:
49 / 100 = 0.49
Answer:
49% = 49/100 out of 1, so it is .49.