Answer:
Slope = -2
Step-by-step explanation:
Slope of Line passes through two Points [tex](x_{1},y_{1} )[/tex] and [tex](x_{2},y_{2} )[/tex]
is given by [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
So by Substitution
[tex]m=\frac{-6- 2 }{-1 - (-5)}=\frac{-8}{4} =-2[/tex]
During 75 days, rain fell on 3/5 of the day. On how many days did rainfall?
Answer:45
Step-by-step explanation:
75*3/5
-2x+5=23 what is x i dont know how to find it
Answer:
x=-9
Step-by-step explanation:
-2x+5=23
-5 on both sides
-2x=18
/-2 on both sides
x=-9
given a normal distribution with a mean of 50 and standard deviation of 5, what percent of the values are between 40 and 60? enter answer as a percent with no decimals.
For the given normal distribution, 95% of the values lie between 40 and 60.
Let the said distribution be X
Here it is given that X follows a normal distribution and it has a mean of 50 and a standard deviation of 5.
Therefore we can write X~ N(50, 25)
Now we need to find P(40< X< 60)
= P(40< X< 60) = P(X < 60) - P(X<40)
To find this we need to convert it into the form of a standard normal and then look up the p-values from the Z-table.
To do this we need to use the formula
P(X < x) = Φ[(x - μ) / σ]
where,
μ is the mean
σ is the standard deviation
Therefore we get
P(X < 60) - P(X<40) = Φ[(60 - 50) / 5] - Φ[(40 - 50) / 5]
= Φ[2] - Φ[-2]
Φ(-x) = 1 - Φ(x)
Therefore,
Φ[2] - Φ[-2]
= 2Φ(2) - 1
We get the p-value
2 X .97725 - 1
= 1.9545 - 1
= 0.9545
= 95% (approx)
Hence 95% of the values are between 40 to 60.
To know more about Normal distribution visit
https://brainly.com/question/12844710
#SPJ4
Solve for X please!!!!!!!!!!!!! I need this answer ASAP
2x + 1/3x = 21
We know:
we can add/subtract the same expression to both sides of the equation to get an equivalent equation;we can multiply/divide both sides of the equation by the same non-zero number to get the equivalent equation.Equivalent equations are algebraic equations that have identical solutions.
We have the equation:
[tex]2x+\dfrac{1}{3}x=21[/tex]
SOLUTION:multiply bot sides by 3
[tex]3\cdot2x+3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}x=3\cdot21\\\\6x+x=63\\\\7x=63[/tex]
divide both sides by 7
[tex]\dfrac{7\!\!\!\!\diagup x }{7\!\!\!\!\diagup}=\dfrac{63}{7}\\\\\boxed{x=9}[/tex]
Answer:
x = 9
Step-by-step explanation:
Given equation,
→ 2x + (1/3)x = 21
Now the value of x will be,
→ 2x + (1/3)x = 21
→ (6/3)x + (1/3)x = 21
→ (7/3)x = 21
→ 7x = 21 × 3
→ 7x = 63
→ x = 63/7
→ [ x = 9 ]
Hence, the value of x is 9.
a medical device company knows that 11% of patients experience injection-site reactions with the current needle. if 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11Sample size : n= 4Let x be a binomial random variable that represents the people get an injection-site reaction.Binomial probability formula: The required probability : P(x=0)learn more about probability click here:
brainly.com/question/13604758
#SPJ4
how is solving an equation that includes cubes similar to solving an equation that includes squares? how is it different?
The difference in solving equations with cubes and squares is of one additional step of reducing the cubic equation to a quadratic equation. In this way, a quadratic equation (variable raised to power 2) is separated from the given cubic equation.
For example, x3+3x2+x1+3=0 can be reduced to (x+3) and (x2+1), where the later one is a quadratic equation. This step is never part of a squared equation’s solution.
The similarity is from here onwards. Quadratic equations are solved similarly in both cases. Although there are multiple possibilities for roots differing from each other in nature. But once a quadratic equation is developed, the solution from there onwards is mostly generic.
You can refer to the following formula for solving quadratic equations efficiently:
x= -bb2-4ac2a
Learn more about solving equations here https://brainly.com/question/22688504
#SPJ4
13 is 6 1/2% of what number?
Answer:
200
Step-by-step explanation:
On a photograph an ant is enlarged at a scale 25:1. In the photo, the ants leg is 15 cm. What is the actual length of the ants leg?
Answer:
0.6cm
Step-by-step explanation:
25 : 1
1 : 0.04
15 : 0.6
the larger the sample size, the better will be the normal approximation to the sampling distribution of sample mean.
As sample size grows, sample variance (variation among observations) grows, while sample mean variance (standard error) decreases, and therefore precision grows.
Define the term normal approximation?The normal curve approximates the sample distribution of averages as well as proportions from just a large number of distinct experiments.
The population value corresponds to the assumption of a sample fraction or average.Because summing big values might be cumbersome or impossible with certain discrete distributions, such as the Binomial or Poisson distributions. The Normal Distribution, thankfully, provides us to approximation the probability for random variables which would otherwise be impossible to quantify.Thus, the better the normal approximation here to sampling distribution for sample mean, the greater the sample size.
To know more about the normal approximation, here
https://brainly.com/question/14310139
#SPJ4
after a bride has interviewed 6 djs to play at her wedding, her fiance tells her she needs to narrow it down to 3 djs. in how many ways can she rank the 3 djs? a) 20 b) 18 c) 720 d) 3 e) 120 f) none of the above.
The number of way in which bride can rank the three Djs out of 6 is 120.
Defined the word permutation?The number of possible arrangements for a given set is determined mathematically, and so this procedure is referred to as permutation. Simply said, a permutation is a concept that refers to the wide range of possible arrangements or orders. The arrangement's order is important if using permutations.There are several different ways we might rank the three DJs.
Therefore, we must identify the permutation P. (6,3).
Total number of DJs = 6Required number of DJs = 3ⁿPₓ = n!/(n - x)!
⁶P₃ = 6!(6-3)!
⁶P₃ = 6×5×4
⁶P₃ = 120
Thus, the number of way in which bride can select the three Djs out of 6 is 120.
To know more about the permutation, here
https://brainly.com/question/1216161
#SPJ4
To rent a taxi in Philadelphia, the taxi service charges a flat rate of
$35.80 and an additional $5.60 per mile driven. Write an equation
in slope-intercept form where x represents the distance of the trip,
and y represents the amount the taxi service would charge to drive
that distance.
Please I need help badly
Answer:
y = 5.60x + 35.80
Step-by-step explanation:
trust
11 student are in a waitlist for a course. two of the students in the list are named ed and ned. how many different ways are there for the students to be ordered in the list so that ed is higher in the list than ned?
The different ways that are there for the students to be ordered in the list so that Ed is higher on the list than Ned is 19,958,400
In the order, if Ned comes first on the list then Ed will not be on the list before Ned. (remember for Ed to be higher than Ned on the list, it should come after Ned on the list).
So if Ned is first on the list, then all the remaining (including Ed) can occur anywhere in the remaining list. Hence the total permutations will be 10!
Ned's corresponding choices: 1 109 8 7 6 5 4 3 -2 1
If Ned comes in the second position, then Ed can't come in the first position. Hence in the first position, there are only 9 choices.
*(excluding Ed) Ned * corresponding choices:
= 9*9!
*(including Ed (including Ed) Ned corresponding choices: *k
= 9*8*8!
Total combinations will be:
10! + 9*9! + 9*8*8! + 9*8*7*7! + 9*8*7*6*6! + 9*8*7*6*5*5! + 9*8*7*6*5*4*4! + 9*8*7*6*5*4*3*3! +9*8*7*6*5*4*3*2*2! + 9*8*7*6*5*4*3*2*1*1! .
= 19,958,400
We can directly compute it. Since there will be a total of 11! combinations in which 11!/2 times Ed comes after Ned and 11!/2 times Ed comes before Ned.
and 11!/2 = 39,916,800/2 = 19,958,400
To learn more about permutation and combination,
https://brainly.com/question/1216161
#SPJ4
18. Which of the following are solutions to the equation 19.
-11x = 2x² +15? Select all that apply.
x²
a. -5
b. -3
c. -5/2
d. 5/2
e. 3
f. 5
The solutions to the given equation are -5/2 and -3. These answer can get after using quadratic formula.
How can find solution using quadratic formula ?The quadratic formula is a formula that offers a quadratic equation's solution. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
In the literature, there are numerous ways to derive the quadratic formula. The common one uses the completing the square method in a straightforward manner.
The given equation is :
-11x = 2x² +15
Move terms to the left side
-11x -(2x^2 +15) =0
Rearrange terms
-2x^2 - 11x -15 = 0
Common factor
-(2x^2+ 11x +15) =0
Divide both sides by the same factor
2x^2 +11x +15 =0
Use the quadratic formula
x = -11 ± √11² - 4 * 2*15/2*2
x =-11±1/4
Solve
x = -5/2
x= -3
The value of x will be -5/2 or -3.
To learn more about quadratic formula refer :
https://brainly.com/question/1214333
#SPJ13
Which of the following functions does not have
zeros at - 1 and 47.
A.f(x)=x²-3x-4
B. f(x) = 2x² + 6x - 8
C. f(x) = -x² + 3x +4
D.f(x) = 2x² - 6x-8
Answer:
B
Step-by-step explanation:
f(-1)=(-1)²-3(-1)-4
f(-1)=1-3(-1)-4
f(-1)=1+3-4
f(-1)=0
Do this same process with all the equations until you find one that doesn't equal 0.
Noah runs a farm stand that sells bananas and raspberries. Each pound of bananas
sells for $3 and each pound of raspberries sells for $2.25. Noah made $72 from
selling a total of 28 pounds of bananas and raspberries. Graphically solve a system of
equations in order to determine the number of pounds of bananas sold, a, and the
number of pounds of raspberries sold, y.
There is no possible solution for the weight of raspberries sold, given that 28 pounds of banana were sold.
What is Co-ordinate Geometry?
Graphs and coordinates are utilised in coordinate geometry to discover information about various geometric figures. A description of the coordinate plane must be included in a definition of coordinate geometry. A coordinate plane, also known as a coordinate graph, is a grid system formed by the intersection of two number lines known as axes. The x-axis is the horizontal number line, and the y-axis is the vertical number line. These axes meet at a position known as the origin.
Solution:
let, the total weight of banana sold be x pounds
and total weight of raspberries soldd be y pounds.
From the data given in the question, the equation formed is
3x + 2.25y = 72
(See Graph)
at x = 28 we will get the value of y as -5.34
which is not a possible solution
To learn more about Co-ordinate Geometry from the given link\
https://brainly.com/question/18269861
#SPJ1
Help Please!!!
Direct and Inverse Variations
aₙ=a+(n-1)d is the formula can be used to find the nth term of the sequence.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given sequence is 5,9,13,17,21
Five comma nine comma thirteen comma seventeen comma twenty one.
We need to find the nth term of the sequence.
Firstly we need to find the sequence is AP or GP.
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
so 9-5=4,
13-9=4
Hence the sequence is a Aritmetic sequence.
In arithmetic sequence the nth term can be find by using the formula
aₙ=a+(n-1)d
where a is first term and d is common difference.
Hence aₙ=a+(n-1)d is the formula can be used to find the nth term of the sequence.
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ1
which is a net for this triangular prism
Answer:
this One...............
what do you add to 5 8/9 to make 7
Help me, please!!!!!!!!!
Answer:
Step-by-step explanation:
firstv= block second one
secondblock third one
and so on
Please help me solve as soon as possible
Using the given expression, the number of tiles Mr. Grants will need to buy is 48
Solving an expression to determine the number of tilesFrom the question, we are to use the given expression to determine the number of tiles Mr. Grant would have to buy
From the given information,
The given expression is,
27 ÷ s²
and
Mr. Grants decides to buy square tiles that have side lengths of 3/4 foot
That is,
s = 3/4
Now,
Using the given expression
27 ÷ s²
We get
27 ÷ (3/4)²
27 ÷ 9/16
= 27 × 16 / 9
= 3 × 16
= 48
Hence, he will need to buy 48 of the tiles
Learn more on Solving an expression here: https://brainly.com/question/25746787
#SPJ1
Graph the linear function.
f(x) = 3x + 4
The graph of the linear function f(x) = 3x + 4 is plotted.
Define the term linear function?To find a linear function, we utilise the slope-intercept form or even the point-slope form.If the function's details are presented in its algebraic form, then f(x) = mx + b designates a linear function. Instead, to check if the data presented in table style reflects a linear function:Get the x-value variations.Get the y-value differences.Determine that there is a steady correspondence between the difference in y values and the difference in x values.For the given question, the function is given as;
f(x) = 3x + 4
Put x = 0, f(x ) = 4 ;(0, 4)
Put f(x) = 0, x = -1.33 ;(-1.33, 0)
Plot the points of the coordinate axis as shown in the graph.
Thus, the graph of the linear function f(x) = 3x + 4 is plotted.
To know more about the linear function, here
https://brainly.com/question/4025726
#SPJ13
Diana recorded the total number of people living in each of the homes of 8 classmates. Which of the following values could be the median of those 8 numbers?
I. 0.0
II. 3.0
III. 4.5
Answer:
The answer is III: 4.5
Step-by-step explanation:
It's not the first option since there has to be more than one person living in those houses. It's not the second since 3 is greater than 0, and median is in order from least to greatest. It's three since it's reasonable and is in order from least to greatest.
Find the solution to the following equation: 2(2x - 7) = 14
x = 14
x = 7
x = 1
x = 0
Answer:
x=7
Step-by-step explanation:
2(2x - 7) = 14
Solve for x
Divide each side by 2
2/2(2x - 7) = 14/2
2x-7 = 7
Add 7 to each side
2x-7+7 = 7+7
2x = 14
Divide each side by 2
2x/2 = 14/2
x = 7
Answer:
b) x = 7
Step-by-step explanation:
Given equation,
→ 2(2x - 7) = 14
Now the value of x will be,
→ 2(2x - 7) = 14
→ 4x - 14 = 14
→ 4x = 14 + 14
→ x = 28/4
→ [ x = 7 ]
Hence, the value of x is 7.
By increasing the pendulum's mass and releasing the pendulum from a greater height the maximum potential energy
will increase and the maximum kinetic energy will decrease.
Answer: False
Step-by-step explanation:The potential energy will decrease and the kinetic will increase
I need help like asap !!!
only numbers and decimal points
Answer:
24.41
Step-by-step explanation:
a^2+b^2=c^2
14^2+20^2=c^2
196+400=596
14^2+20^2=24.41^2
HELPPPP I'm so confused!!! 60 POINTSSSS!!!
Answer:
que tienes que realizar no se entiende tu pregunta lo siento
name the place value of highlighted digits 879.8687
Quadrilateral EFGH is similar to quadrilateral IJKL. Find KL. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
59
H
13
E
27
F
G
I
L
X
K
Answer:
x=81
steps
From the concept of similarity
3EH = ILhence, 3HG = KL3(27) = KLKL = 81A (8,4)
B (4,3)
C (4,-9)
D(2,-1)
please explain your answer!!!
Neither.
Parallel lines (when the line continues), never intersects. Perpendicular lines intersect and create a 90 degree angle.
The angle created by the lines intersect but do not create a 90 degree angle.
1 million divided by 2
500,000
OR
five hundred thousand