Answer:
probably square root of 5
The number 63 is how many times the number 21?
Answer:
3
Step-by-step explanation:
cause 63 divided by 21 is 3.
Answer:
21 * 3 = 63
Step-by-step explanation:
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?
Given:
Endpoints of a line segment AB are A(2,3) and B(8,11).
To find:
(1) Slope of AB.
(2) Length of AB.
(3) Midpoint of AB.
(4) Slope of a line perpendicular to AB.
Solution:
We have, endpoints of line segment AB, A(2,3) and B(8,11).
(1)
Slope of AB is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{11-3}{8-2}[/tex]
[tex]m=\dfrac{8}{6}[/tex]
[tex]m=\dfrac{4}{3}[/tex]
Therefore, the slope of AB is [tex]\dfrac{4}{3}[/tex].
(2)
Length of AB is
[tex]AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]AB=\sqrt{(8-2)^2+(11-3)^2}[/tex]
[tex]AB=\sqrt{(6)^2+(8)^2}[/tex]
[tex]AB=\sqrt{36+64}[/tex]
[tex]AB=\sqrt{100}[/tex]
[tex]AB=10[/tex]
Therefore, the length of AB is 10 units.
(3) Midpoint of AB is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{2+8}{2},\dfrac{3+11}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{10}{2},\dfrac{14}{2}\right)[/tex]
[tex]Midpoint=\left(5,7\right)[/tex]
Therefore, the midpoint of AB is (5,7).
(4)
Product of slopes of two perpendicular lines is -1.
Let the slope of line perpendicular to AB be m₁.
[tex]m_1\times \dfrac{4}{3}=-1[/tex]
[tex]m_1=-\dfrac{3}{4}[/tex]
So, slope of line perpendicular to AB is [tex]-\dfrac{3}{4}[/tex].
help
graph
i understand it but will it be to the right or left
Answer:I believe left
Step-by-step explanation:
Select all of the fractions that are equivalent to -2/3 ( SELECT ALL THAT APPLY)
Options
A)3/-2
B)-2/-3
C)- 2/3
D)-3/-2
E)2/-3
F)-3/2
Answer:
- 2/3, 2/-3
Step-by-step explanation:
none of the rest work 3/2 is a completely different number and having two negatives in a fraction make it a positive
if a store is selling 3 bottles of water for $3.24. how much would 8 bottles of water cost
Answer:
$8.64
Step-by-step explanation:
Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.
The surface area of a cone is determined by the equation
Answer:
This question is incomplete
Step-by-step explanation:
is -3/7 a rational or irrational number?
Answer:
rational
Step-by-step explanation:
it can express as a ratio of two numbers, therefore it is rational. it wouldn't be rational if it was for example 0.333333 that goes on forever.
A 5-kilogram bag of cat food costs $18.90. What is the unit price?
$
per kilogram
Answer:
3.78
Step-by-step explanation:
Jkgdgdkhhgkdksytsktsykkusutskfkxh
Answer:
39% , 0.39 , 39/100
Step-by-step explanation:
I thought your randomness of letters was your question lol. Hope this helps though!
PLEASE HELP MEE!!!!!!!!Joshua is 11 years old, and his dad is 33
years old. What is the ratio of Joshua's
age to his dad's age?
Answer:
11:33 or in simplified terms 1:3
Step-by-step explanation:
Hope this helps!:)
THESE ARENT MY PHOTOS but my answers are the exact same. pls help with the rest plsplspslpslpslpslplsp
Answer:
Can u add pictures of the rest?
Step-by-step explanation:
4(5 – w) = –2(2w – 3)
help possible branliest
Answer:
1.81
2.2^7
3. 4^5
4. 2^9
5. 1
6. 4^5
7. 6
8. 3^8
9. 15^0
10. 2^3
11. 3^2
12. 216
13. 5^3
14. 225
15. 343
16. 11^2
17. 625
18. 5^4
19. 169
20. 10^4
Step-by-step explanation:
. p−20=−30 .
i need your help
Answer:
p = -10
Step-by-step explanation:
-30 + 20 = -10
What is the volume of the following rectangular prism pls help me I’m being timed
Answer:
ummmmm I guess I could add the dimensions in the text.
Step-by-step explanation:
The picture is a black screen.
Benjamin colors 40% of total grids on his paper he colors 8 grids enter the total number of grids on Benjamin's paper
Answer:
320%
Step-by-step explanation:
I need help again
I am
Sorry
Answer:
x = 171.16 - 5.8
x = 165.36
please give me brainlist
Step-by-step explanation:
Answer:
165.36 is Pete's height
Step-by-step explanation
You have to subtract 5.8 by 171.16 and that will be Pete's height.
The probability that a vehicle will change lanes while making a turn is 45%. Suppose a random sample of 7 vehicles are observed making turns at a busy intersection. Find the probability that a least 5 vehicles will change lanes while making the turn.
Answer:
0.1529
Step-by-step explanation:
Given that:
Probability of changing lane ; p = 45% = 0.45
Sample size (number of trials) = n = 7
Probability that atleast 5 vehicles will change lane :
Using the binomial probability formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
(1 - p) = 1 - 0.45 = 0.55
P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)
P(x = 5) = 7C5 * 0.45^5 * 0.55^2
P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221
P(x = 6) = 7C6 * 0.45^6 * 0.55^1
P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969
P(x = 7) = 7C7 * 0.45^7 * 0.55^0
P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736
P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)
P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736
P(x ≥ 5) = 0.152926
P(x ≥ 5) = 0.1529
Using the binomial distribution, it is found that there is a 0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.
For each vehicle, there are only two possible outcomes, either they change lanes while making a turn, or they do not. The probability of a vehicle changing lanes while making a turn is independent of any other vehicle, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The probability that a vehicle will change lanes while making a turn is 45%, hence [tex]p = 0.45[/tex].A sample of 7 vehicles is taken, hence [tex]n = 7[/tex].The probability that at least 5 vehicles will change lanes while making the turn is:
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.45)^{5}.(0.55)^{2} = 0.1172[/tex]
[tex]P(X = 6) = C_{7,6}.(0.45)^{6}.(0.55)^{1} = 0.0320[/tex]
[tex]P(X = 7) = C_{7,7}.(0.45)^{7}.(0.55)^{0} = 0.0037[/tex]
Then
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1172 + 0.0320 + 0.0037 = 0.1529[/tex]
0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
solve for x (x-2)(x+1)=3x-2 what is x and x
in the picture will explain the explanation
The ratio of blue chairs to red chairs in Ms. Vickers' class is 2 to 5. Which of the following cannot represent the total number of chairs in Ms. Vickers' class? A 14 C 28 B 20 D 35
Answer:
I would say B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I have a box of crackers that weighs 5.25 oz. if one serving of crackers is .15 ounces. How many servings are in the box?
Answer:
0.15÷5.25 should give u the answer
$40 game; 30% off; 5% tax
50 POINTS PLZ HELP MEEEE
Answer:
Step-by-step explanation:
It’s c
Answer:
c
Step-by-step explanation:
Identify the radius of the circle.
Help ASAP pls!!!
*its hw*!
Identify the vertex of
y = 2x2 − 4x − 2
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
Jacob has several wood dowel remnants. He needs
several pieces that are at least 2 1/4 feet long to use for
4.
a project. Select ALL of the lengths that would be
useable.
(Select all that apply.)
2
feet
16
2.3 feet
2.25 feet
2 feet
Answer:
2 feet, 2.3 feet, 2.25 feet, and 16 feet
If xy =1 show that dy/dx=-1/x²
If xy = 1, then differentiating both sides with respect to x gives
x dy/dx + y = 0
(use the product rule)
Solve for dy/dx :
dy/dx = -y/x
Solve the starting equation for y and substitute that into the derivative.
xy = 1 → y = 1/x
→ dy/dx = -(1/x)/x = -1/x²
Please help, I only have 30 minutes left...
Answer:
(2,-1)
Step-by-step explanation:
hope i helped <3
Answer:
(2,-1)
Step-by-step explanation:
That is the answer becasue the x-axis is 2 and the y-axis is -1
Assume that last year in a particular state with 700000 children there were 1205 children out of 32600 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally
Answer:
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
Step-by-step explanation:
The population follows a binomial distribution, and the fact that
p₀ = 1205/32600 = 0,03696 and then q₀ = 1-0,03696 = 0,9630
And both
p₀*n = 0,03696*32600 = 1205 > 10
q₀*n = 31395 > 10
The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.
Therefore:
Hypothesis Test H₀ ⇒ p₀ = p
Alternative Hypothesis Hₐ ⇒ p₀ > p
p is the population proportion mean
p = 1/88 = 0,011
We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %
CI = 95 % α = 5 % α = 0,05
Critical value for 0,05 is from z-table z(c) = 1,64
We compute z(s)
z(s) =( p₀ - p )/ √ p₀*q₀/n
z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600
z(s) = 0,02596* 180,55/ √ 0,0356
z(s) = 4,687 / 0,189
z(s) = 24,9
Comparing z(s) and z(c) 24,9 > 1, 64
z(s) is out of the acceptance region and we have to reject H₀
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. If there are 461 households in the community, about how many of them have electric bills less than $200?
A. 45
B. 21
C. 95
D. 81
95 households have electricity bills of less than $200. Option C is correct.
Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) = [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) = (200 - 245)/55
= --45/5
= -0.818181
p < 200 = 0.206 (from z table)
Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95
Thus, 95 number of household have electricity bills of less than $200. Option C is correct.
Learn more about probability here:
brainly.com/question/14290572
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