Answer:
256 in²
Step-by-step explanation:
16*16 = 256
Answer:
256 inches squared
Step-by-step explanation:
The area of a square is denoted by A = s², where s is the side length.
Here, the side length is 16 inches, so s = 16. Plug this into the formula to find the area:
A = s²
A = 16² = 16 * 16 = 256
The answer is thus 256 inches squared.
~ an aesthetics lover
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liter tin of paint in his store and decides to paint the tank (not the base). If he uses 250ml to cover 1m^2, will he have enough paint to cover the tank with one layer of paint? ( Take π = 3.142)
Answer:
There is enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
Given the cilindrical configuration of the tank and supposing that only external face must be painted, the surface area of the section (lateral wall + lid) can be calculated by the following expression:
[tex]A_{s} = 2\pi\cdot r\cdot h + \pi\cdot r^{2}[/tex]
Where [tex]r[/tex] and [tex]h[/tex] represent the radius and the height of the cube, respectively.
If [tex]r = 0.55\,m[/tex] (a diameter is two times the length of radius) and [tex]h = 1.4\,m[/tex], the intended surface area is:
[tex]A_{s} = 2\pi\cdot (0.55\,m)\cdot (1.1\,m)+\pi\cdot (0.55\,m)^{2}[/tex]
[tex]A_{s} \approx 4.751\,m^{2}[/tex]
It is known that 250 mL of paint are needed to cover a square meter of the surface area, the needed amount of paint to cover the required area is estimated by simple rule of three:
[tex]Q = \frac{4.751\,m^{2}}{1\,m^{2}}\times (250\,mL)[/tex]
[tex]Q = 1187.75\,mL\,(1.188\,L)[/tex]
In consequence, there is enough paint to cover the tank with one layer of paint.
A bag of fertilizers covers 30 square yard of lawn.find how many bags of fertilizers should be purchased to cover a rectangular lawn 25 yards by 18 yard
Answer:
15 bags
Step-by-step explanation:
25 * 18 yard^2 = area
so, Area/Fertilizercoverrate = what we want.
25*18/30 = 15 bags
A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Pablo chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write your answer as a fraction in simplest form.
Answer:
12/90 or 2/15
Step-by-step explanation:
1st marble is blue is 4/10
2nd marble is blue is 3/9
Multiple together and the probability is 12/90 or 2/15
How do you find the surface area of a triangle? A square?
Answer:
The area formula of a triangle is (base * height) / 2 and the area of a square is s² where s is the length of one side.
We want to know if there is a difference between the mean list price of a three bedroom home, , and the mean list price of a four bedroom home, . What is the alternative hypothesis?
Answer:
The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.
[tex]H_a:\mu_1-\mu_2\neq 0[/tex]
Step-by-step explanation:
This would be an two-sample hypothesis test for the difference between two means.
As we are looking for differences, we are not testing if one population mean is bigger than the other. This will be a two-tailed test and the alternative hypothesis will have a unequal sign.
The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.
This can be written as:
[tex]H_a:\mu_1-\mu_2\neq 0[/tex]
meaning that the population means are significantly different.
246,000 in scientific notation
Answer:
246000 in scientific notation is 2.46e5, or 2.46 x 10^5
Step-by-step explanation:
246000, move the decimal place 5 places to the left.
2.4x10^5
Answer:
2.46 × 10⁵
Step-by-step explanation:
The decimal point is after the first non-zero digit.
⇒ 2.46
Multiply the number with base 10 and an exponent which will equal to 246,000.
⇒ 10⁵
Of 380 randomly selected medical students, 21 said that they planned to work in a rural community. Find a 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.
Answer:
[tex]0.0553 - 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0323[/tex]
[tex]0.0553 + 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0783[/tex]
Step-by-step explanation:
The info given is:
[tex] X= 21[/tex] number of students who said that they planned to work in a rural community
[tex] n= 380[/tex] represent the sample size selected
[tex]\hat p =\frac{21}{380}= 0.0553[/tex] the estimated proportion of students who said that they planned to work in a rural community
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]
The confidence interval for the mean is given by the following formula:
[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
Replpacing we got:
[tex]0.0553 - 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0323[/tex]
[tex]0.0553 + 1.96\sqrt{\frac{0.0553(1-0.0553)}{380}}=0.0783[/tex]
A mean for estimation is the minimum-maximum variation estimate's C.I. The % of pupils planning to work in a rural community alters between 0.0323 and 0.0783.
Confidence interval:
Let's [tex]p^{}[/tex] represent the sampling fraction of the people who promised to work in a rural area.
Sample size:
[tex]n = 380[/tex]
x: the large number the pupils expected to work in a rural setting
[tex]p^{} = \frac{x}{n} \\\\p^{} = \frac{21}{ 380} = 0.0553\\\\(1- \alpha)\ \ 100\%[/tex]confidence for true proportion:
[tex]( p^{}\ \pm Z_{\frac{\alpha}{2}} \times \sqrt{p^{} \times \frac{(1-p^{})}{n}} ) \\\\[/tex]
For [tex]95\%[/tex]confidence interval:
[tex]\to 1 - \alpha = 0.95[/tex]
When:
[tex]\to \alpha = 0.05[/tex]
Calculating the value of Z by using the table:
[tex]\to Z_{0.025} = 1.96[/tex]
When the [tex]95\%[/tex] of the confidence interval:
[tex]\to (0.0553 \pm Z_{0.025} \times \sqrt{(0.0553 \times \frac{(1- 0.0553)}{380}})\\\\\to (0.0553 - Z_{0.025} \times \sqrt{(0.0553 \times \frac{(1- 0.0553)}{380})},0.0553 + Z_{0.025} \times \sqrt{(0.0553 \times \frac{(1- 0.0553)}{380}))}\\\\[/tex]
by solving the value we get:
[tex]\to ( 0.0323 , 0.0783 )[/tex]
We are [tex]95\%[/tex] sure that the true proportion of students planning to work in a rural community is between [tex]0.0323[/tex] and [tex]0.0783[/tex]. That is we are [tex]95\%[/tex] sure that the percentage of students planning to work in a rural community is between [tex]3.23\%[/tex] and [tex]7.83\%[/tex].Find out more about the Confidence interval here:
brainly.com/question/2396419
A man reared cows and buffaloes. The number of buffaloes was 7 more than one-Third of the number of cows. What was the total number of animals, if the number of buffaloes was 21?
Answer:
63 animalsStep-by-step explanation:
Let the number of buffaloes be b
Let the number of cows be c
The number of buffaloes was 7 more than one-Third of the number of cows is written as
b = 7 + 1/3c
But the number of buffaloes was 21
So the number of cows are
21 = 7 + 1/3c
Multiply through by 3
63 = 21 + c
c = 63 - 21
c = 42
The number of cows is 42
So the total number of animals in the farm is
21 + 42
= 63 animalsHope this helps you
Two spheres have scale factor of 1:3. The smaller sphere has a surface area of 16 square feet . Find the surface area of the larger sphere.
Answer:
Sphete B have a surface area of 48 square feet
Step-by-step explanation:
Two spheres of
Sphere A the smallest and sphere B the biggest has a scale factor of 1/3
Sphere A has surface area of 16 square feet.
Let's determine the surface area of sphere B.
Sphere A /sphere B = 1/3
Sphere A = 16
16/sphere B = 1/3
3*16= sphere B *1
48 = sphere B
Sphete B have a surface area of 48 square feet
What is the process of comparing data with a set of rules or values to determine if the data meets certain criteria
Answer:
Validation
Step-by-step explanation: Validation is a term used to describe the processes involved when we compare a set of values and observations against a set standard or rules to ensure that they meet certain expectations or criteria.
Validation is meant to prove that something, a data set etc are acceptable based on known rules, the rules or standards which is used to evaluate what can be described as valid.
solve the system of equations y=3x+2 y=x^2-4+2 A. (0,2) and (7,23) B. (-7,-23) and (0,2) C. (-7,23) and (0,-2) D. (0,-2) and (-7,-23)
Answer:
A. (0,2) and (7,23)
Step-by-step explanation:
To solve, we set both equations equal to each other (because both equations equal y).
3x + 2 = x^2 -4x + 2
x^2 - 7x = 0
x(x-7)
so the x values are 7 and 0.
Plugging x back into the linear equation (because it’s easier)
3(7) + 2 = 23
3(0) + 2 = 2
so the answers are (7, 23) and (0,2)
Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.) State the random variable. b.) Write the probability distribution for the number of heads. c.) Draw a histogram for the number of heads. d.) Find the mean number of heads. e.) Find the variance for the number of heads. f.) Find the standard deviation for the number of heads. g.) Find the probability of having two or more number of heads. h.) Is it unusual to flip two heads
Answer:
The answer to each point is below
Step-by-step explanation:
We will solve point by point:
a) We have to:
Random variable X = number of heads
Let, H => heads, T => tails
b) We have that the combinations are
TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
Number of Heads (X) 0 1 2 3
Probability (P) 1/8 3/8 3/8 1/8
c) attached the histogram.
d) We have the following:
Mean = E (X) = 0 * 1/8 + 1 * 3/8 + 2 * 3/8 + 3 * 1/8
m = 1.5
The mean is 1.5
e) E (X ^ 2) = 0 * 1/8 + 12 * 3/8 + 22 * 3/8 + 32 * 1/8 = 3
Variance = E (X ^ 2) - (E (X)) ^ 2
Var = 3 - (1.5) ^ 2
Var = 0.75
The variance is 0.75
f) standard deviation = (Var) ^ (1/2) = (0.75) ^ (1/2) = 0.866
sd = 0.866
the standard deviation is 0.866
g) P (2 or more heads) = 3/8 + 1/8 = 0.5
The probability is 50%
h) P (two heads) = 3/8 = 0.375
It is likely that out of 8 times of 3 flips, 3 times we can observe two heads out of 3, therefore it is not unusual.
You were hired as a geotechnical engineer in the XYZ Construction company. Your boss has asked you to estimate the settlement of a new building project that your firm just won the bid. Based on your extensive knowledge on geotechnical engineering and statistical analysis, you estimate that the settlement of the building will not exceed 2 inches with 95% probability. From a record of performance of many similar structures built on similar soil conditions, you also find that the coefficient of variation of the settlement is 20%. After showing the calculation to your boss, she still has few concerns about the settlement.
Requried:
Assuming a normal distribution is used to model the settlement of this project, your boss asks you to give her the probability that this building will settle more than 2.5 inches
Answer:
Probability = 0.10565
Step-by-step explanation:
Given:
Mean, u = 2
x = 2.5
CV = 20% = 0.2
To find standard deviation [tex] \sigma[/tex] use the formula:
[tex] CV = \frac{\sigma}{u} [/tex]
[tex] 0.2 = \frac{\sigma}{2} [/tex]
[tex] \sigma = 0.2 * 2 [/tex]
[tex] \sigma = 0.4 [/tex]
Find Z, using the formula:
[tex] Z = \frac{x - u}{\sigma} [/tex]
[tex] Z = \frac{2.5 - 2}{0.4} [/tex]
[tex] Z = \frac{0.5}{0.4} [/tex]
[tex] Z = 1.25 [/tex]
Using the p value table,
P(x > 1.25) = 0.10565
Therefore, The probability that this building will settle more than 2.5 inches is 0.10565
Solve the system of equations: [tex]3x-4y=-23\\2y-x=-19[/tex]
Answer:
Step-by-step explanation:
3x - 4y = -23
-x + 2y = -19
3x - 4y = -23
-3x - 6y = -57
-10y = -80
y = 8
-x + 2(8) = -19
-x + 16 = -19
-x = -35
x = 35
(35, 8)
━━━━━━━☆☆━━━━━━━
▹ Answer
(-61, -40)
▹ Step-by-Step Explanation
3x - 4y = -23
2y - x = -19
3x - 4y = -23
x = 19 + 2y
3(19 + 2y) - 4y = -23
y = -40
x = 19 + 2 * (-40)
x = -61
(x, y) = (-61, -40)
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000.The following is the setup for this hypothesis test:{H0:p=0.40Ha:p<0.40Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.
Answer:
The statistic for this case would be:
[tex] z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}[/tex]
And replacing we got:
[tex] z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92[/tex]
Step-by-step explanation:
For this case we have the following info:
[tex] n =700[/tex] represent the sample size
[tex] X= 305[/tex] represent the number of employees that earn more than 50000
[tex]\hat p=\frac{305}{700}= 0.436[/tex]
We want to test the following hypothesis:
Nul hyp. [tex] p \leq 0.4[/tex]
Alternative hyp : [tex] p>0.4[/tex]
The statistic for this case would be:
[tex] z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}[/tex]
And replacing we got:
[tex] z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92[/tex]
And the p value would be given by:
[tex] p_v = P(z>1.922)= 0.0274[/tex]
Maya Buy a desk on sale for 432 the price was 36% less than the original price what was the original price
Answer:
[tex]\boxed{Costing Price = $675}[/tex][tex]\boxed{Costing Price = $675}[/tex]Costing Price = $675
Step-by-step explanation:
Selling Price = $432
Discount = 36% of the costing price (36/100 * CP)
Then, Costing Price:
Let costing price be x
=> x - 0.36 x = 432
=> 0.64 x = 432
Dividing both sides by 0.64
=> x = $675
So, the costing Price is $675
WILL MARK BRAINIEST IF CORRECT!!!! Select the correct answer. This table represents a function. Is this statement true or false?
Answer:
true
Step-by-step explanation:
doesn't over lap each other
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
-4/8
Step-by-step explanation:
Using rise over run would give you -4/8. Since the rise is going downward four times the number would be negative. Since the run is going to the right 8 times it would be positive.
Answer: the slope is -1/2
Step-by-step explanation: The rise is -4. Easy to see from the y-intercept, 4 below the origin. The run is 8, again easy to see from the distance between the x-intercept at -8, 8 unite away from the origin.
So slope = rise/run -4/8 simplify (by LCM, 4) So you get slope = -1/2
If the perimeter of a rectangle is 44 cm and the area is 120 square cm, then what are the dimensions of the rectangle?
Answer:
length =12 cm and breadth= 10 cm
Step-by-step explanation:
we know that perimeter of a rectangle is 2*(l+b) and area of a rectangle is l*b.
2*(l+b)= 44 cm and l*b=120 sq.cm
2l+2b= 44cm l*b=120sq.cm
lets take out all the factors of 120 as this may help in finding l and b.
1,2,3,4,5,6,8,10, 12,15,20,24,30,40,60,120.
here, the most likely answer that verifies that l and b can be found is using the perimeter.
so, out of all these factors, 10 and 12 gives the right answer to 2*l+b
2* 10+12=2*22=44 cm and it also satisfies l*b as 10*12 is 120...
Answer:
Step-by-step explanation:
Perimeter of rectangle = 44 cm
2*(length +width) = 44
l = length
w = width
2*( l +w) =44
Divide both sides by two
l +w = 44/2
l +w = 22
l = 22 - w ----------------------(I)
Area of rectangle= 120 square cm
l * w = 120
(22 - w) *w = 120 {from(I)}
22w - w² = 120
0 = 120 - 22w +w²
w² - 22w + 120 = 0
Sum = - 22
Product = 120
Factors = -12 , -10
w² - 22w + 120 = 0
w² - 12w - 10w + (-12)*(-10) = 0
w(w - 12) -10 (w -12) = 0
(w - 12)(w - 10) = 0
w -12 = 0 ;w - 10 = 0
w = 12 ; w = 10
Dimension of rectangle are: 12 , 10
Choose the smallest fraction? 3/4 1/5 3/10 1/7
Answer:
Hey there!
3/4= 0.75
1/5=0.2
3/10=0.3
1/7=0.14
Thus, 1/7 is the smallest fraction.
Hope this helps :)
Find the lengths of the remaining sides of the triangle. c = 14 a is 60 degrees b is 30 degrees a = b =
Answer:
a=7√3b=7Step-by-step explanation:
Angle C is ...
C = 180° -A -B = 180° -60° -30° = 90°
This is a right triangle with hypotenuse length 14.
a = c·sin(A) = 14·sin(60°) = 7√3
b = c·sin(B) = 14·sin(30°) = 7
The remaining sides are b=7 and a=7√3.
Will give brainliest, someone please help
━━━━━━━☆☆━━━━━━━
▹ Answer
Area = 9
▹ Step-by-Step Explanation
A = b * h ÷ 2
A = 9 * 2 ÷ 2
A = 9
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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The force of the gravitational attraction between two bodies is directly proportional to the mass of each body and inversely proportional to the square of distance between them. If the distance between two bodies is tripled and the mass of each is doubled, what happens to the force of gravitational attraction between them?
Answer:
The force of gravitation between them will four - ninth the original force between them.Step-by-step explanation:
According to law of gravitation, the gravitational force between two bodies of masses M and m is expressed as F = GMm/d² ... 1 where;
G is the gravitational constant
d is the distance between the masses
If the distance between two bodies is tripled and the mass of each is doubled, then the gravitational force will become:
F2 = G(2M)(2m)/(3d)²
F1 = 4GMm/9d² ... 2
Taking the ratio of the original gravitational force to the new one we have;
F1/F = 4GMm/9d²/GMm/d²
F1/F = 4GMm/9d² * d²/GMm
F1/F = 4/9
F1 = 4/9F
This shows that if the distance between two bodies is tripled and the mass of each is doubled, the force of gravitation between them will four - ninth the original force
Which expression has the same meaning as 5 8/3?
Answer:
The answer is
[tex] \sqrt[3]{ {5}^{8} } [/tex]
Hope this helps you
Answer:
[tex]\sqrt[3]{5^{8} }[/tex]
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]5^{\frac{8}{3} }[/tex]
= [tex]\sqrt[3]{5^{8} }[/tex]
The U-Drive Rent-A-Truck company plans to spend $88 million on 280280 new vehicles. Each commercial van will cost $25 comma 00025,000, each small truck $30 comma 00030,000, and each large truck $40 comma 00040,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy?
Answer:
400
Step-by-step explanation:
The computation is shown below:-
x = commercial vans
y = small trucks
z = large trucks
Therefore
x + y + z = 280 ........................ (i)
Given that
x = 2y .....................(ii)
Now
$25,000 x + $30,000 y + $40,000 z = $88,000,000 ................ (iii)
We know x = 2y already,
so in the first equation:
2y + y + z = 280
3y + z = 280
x = 280 - 3y
So, we will use this in the third equation
$25,000(2y) + $30,000y + $80,000(280-3y) = $88,000,000
$50,000y + $30,000y + $22,400,000 - $240,000y = $88,000,000
-$160,000y = -$65,600,000
y = 410
Putting in 410 in the second equation:
x = 2 × 410
= 810
and finally
= x - y
= 810 - 410
= 400
A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. garden bordered by a river Opens externally What dimensions would guarantee that the garden has the greatest possible area? shorter side: 0 Incorrect ft (feet) longer side: 920 Incorrect ft (feet) greatest possible area: 0 Incorrect ft2 (square-feet)
Answer:
splitting it evenly among all three sides gives us the greatest area. ( for example if we had to split the number 10 into 2 and find the greatest area, out of all possible ways 5*5 is the greatest). Two sides have to be equal since it's a rectangle.
918/3=306
So we can make the two equal sides 306, and the longer side 308 which makes sure that we have the greatest area.
306 * 308
Step-by-step explanation:
What is the discrimination of this function !! Please help
Answer:
Option C is correct.
The discriminant of the function is negative since the function doesn't have real roots as evident from the graph.
Step-by-step explanation:
The discriminant of a quadratic equation is the part of the quadratic formula underneath the square root symbol, that is, (b² - 4ac).
The discriminant tells us whether there are two solutions, one solution, or no solutions.
- When the discriminant is positive or greater than zero, that is, (b² - 4ac) > 0, the quadratic function has 2 real distinct roots.
- When the discriminant is equal to zero, that is, (b² - 4ac) = 0, the quadratic function has 1 repeated root.
- When the discriminant is negative or lesser than zero, that is, (b² - 4ac) < 0, the quadratic function has no real roots.
For this question, the graph of the quadratic function shows that it doesn't have real roots (this is evident because the graph doesn't cross the x-axis), hence, the duscriminant of this quadratic function has to bee negative.
Hope this Helps!!!
Compute the determinants using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column.
[ 0 4 1
5 −3 0
2 3 1 ]
Answer:
The determinant is 1Step-by-step explanation:
Given the 3* 3 matrices [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex], to compute the determinant using the first row means using the row values [0 4 1 ] to compute the determinant. Note that the signs on the values on the first row are +0, -4 and +1
Calculating the determinant;
[tex]= +0\left[\begin{array}{cc}-3&0\\3&1\\\end{array}\right] -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] +1\left[\begin{array}{cc}5&-3\\2&3\\\end{array}\right] \\\\= 0 - 4[5(1)-2(0)] +1[5(3)-2(-3)]\\= 0 -4[5-0]+1[15+6]\\= 0-20+21\\= 1[/tex]
The determinant is 1 using the first row as co-factor
Similarly, using the second column [tex]\left[\begin{array}{c}4\\-3\\3\end{array}\right][/tex] as the cofactor, the determinant will be expressed as shown;
Note that the signs on the values are -4, +(-3) and -3.
Calculating the determinant;
[tex]= -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\5&0\\\end{array}\right] \\\\= -4[5(1)-2(0)] - 3[0(1)-2(1)] -3[(0)-5(1)]\\= -4[5-0] -3[0-2]-3[0-5]\\= -20+6+15\\= -20+21\\= 1[/tex]
The determinant is also 1 using the second column as co factor.
It can be concluded that the same value of the determinant will be arrived at no matter the cofactor we choose to use.
PLSS I NEED HELP I NEED HELP SOMEONE SAVE ME
Answer:
sorry but are you dyin why do u need help why do you need someone to save you just say i need answers to this equation pls
Kimberly is a program director for the channel KID. She tracked the cartoons shown on the channel for a week. The probability that the show had animals in it was 0.7. The probability that the show aired more than 10 times was 0.4. The probability that the show had animals in it and aired more than 10 times was 0.2. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Options
0.7+0.2−0.4=0.5 0.7+0.2=0.9 0.7+0.4=1.1 0.4+0.2=0.6 0.7+0.4−0.2=0.9Answer:
[tex](E)0.7+0.4-0.2=0.9[/tex]
Step-by-step explanation:
In probability theory
[tex]P$(A or B)=P(A)+P(B)$-$P(A and B)[/tex]
Let the event that the show had animals in it = A
P(A)=0.7
Let the event that the show aired more than 10 times =B
P(B)=0.4
P(A and B)= 0.2
[tex]P$(A or B)$=0.7+0.4-0.2=0.9[/tex]
Therefore, the equation which shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times is:
[tex]0.7+0.4-0.2=0.9[/tex]
The correct option is E.