Answer:
x = - 5 , x =
Step-by-step explanation:
the values of x that make f(x) zero are the zeros
to find the zeros let f(x) = 0 , that is
3x² + 13x - 10 = 0
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
the factors are + 15 and - 2
use these factors to split the x- term
3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )
3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term
(x + 5)(3x - 2) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the parameters are given as follows:
.
Hence:
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:
A = (x + 15)(x + 10) − 5
Step-by-step explanation:
(x+15)(x+10)-5=A would be a solution
To make this easier, let's assign x a value. Let's say 3.
(3+15)(3+10)-5=A
(18)(13)-5=A
234-5=A
A=229
Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.
A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 <u>Answer A is wrong.</u>
B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 <u>Answer B is wrong.</u>
C. A=(3+26)(3+15)=(29)(18)=522 <u>Answer C is wrong.</u>
D. A=(3+14)(3+8)=(17)(11)=187 <u>Answer D is wrong.</u>
It's either I'm wrong or the answer choices are wrong.
New answer choices!
A. A=(3+20)(3+11)
=(23)(14)=322 Answer A is wrong.
B. A=(3+15)(3+10)+5
=(18)(13)+5=234+5=239 Answer B is wrong.
C. A=(3+15)(3+10)−5
=(18)(13)-5=234-5=229 Answer C is correct.
D. A=(3+9)(3+10)=(12)(13)=156 <u>Answer D is wrong.</u>
Step-by-step explanation:
Consider the provided information.
The total number of students are: 24+26+21=71
He wants each team will have the same number of students between 5 and 9.
The number between 5 to 9 are 6, 7 and 8.
The number 71 is a prime number so we need to divide the 71 students in group so that minimum students left without team.
Dividing 6 students in each group.
Number of teams: = 11 teams and 5 students.
Dividing 7 students in each group.
Number of teams: = 10 teams and 1 students.
Dividing 8 students in each group.
Number of teams: = 8 teams and 7 students.
Thus, we can not divide 71 students into equal teams, but 70 divided by 7 gives the least students left out i.e 10 teams each with 7 students and only 1 student will remain at last.
Area of the sign ( trapezoid ) :
A = ( a + b ) / 2 · h
where: a = 8, b = 5, h = 5
A = ( 8 + 6 ) / 2 · 5 =
= 14/2 · 5 = 7 · 5 = 35 ft²
Answer:
B ) 35 square feet