Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
[tex] d_{x} = x_{2} - x_{1} = 5 - (-3) = 8 [/tex]
And for the y-coordinate, we have:
[tex] d_{y} = y_{2} - y_{1} = 9 - (-5) = 14 [/tex]
The car's displacement in vector form is:
[tex] d = (d_{x}, d_{y}) = (8, 14) [/tex]
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
Please answer
I will mark as the brainliest the one whose going to answer right
A. Right triangles.
B. Height of 16cm with bases 20cm
C. 320
D.?
An article presents a study of the failure pressures of roof panels. A sample of 15 panels constructed with 8-inch nail spacing on the intermediate framing members had a mean failure pressure of 8.48 kPa with a standard deviation of 0.96 kPa. A sample of 15 panels constructed with 6-inch nail spacing on the intermediate framing members had a mean failure pressure of 9.93 kPa with a standard deviation of 1.02 kPa. Can you conclude that 6-inch spacing provides a higher mean failure pressure
Answer:
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject [tex]H_0\ at\ 5%[/tex] level of significance
Step-by-step explanation:
From the question we are told that:
Sample size 1 [tex]n_1=15[/tex]
Spacing 1 [tex]s_1=8[/tex]
Mean 1 [tex]\=x_1=8.48[/tex]
Standard deviation 1 [tex]\sigma_1=0.96 kPa[/tex]
Sample size 2 [tex]n_2=16[/tex]
Spacing 2 [tex]s_2=6[/tex]
Mean 1 [tex]\=x_1=9.93[/tex]
Standard deviation 1[tex]\sigma_1=1.02 kPa[/tex]
Generally the hypothesis is mathematically given as
Null [tex]H_0:\mu_1-\mu_2[/tex]
Alternative [tex]H_a:\mu_1\mu_2[/tex]
Generally the equation for pooled estimate is mathematically given by
[tex]S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }[/tex]
Therefore
[tex]S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }[/tex]
[tex]S=0.9905[/tex]
Generally the equation for test statistics is mathematically given by
[tex]t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}[/tex]
[tex]t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}[/tex]
[tex]t=-4.00091[/tex]
Therefore From table
[tex]P value=P(t_{15+15-2}=4.00091)[/tex]
[tex]P value=0.00041918[/tex]
[tex]P<0.0005[/tex]
Therefore
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject [tex]H_0\ at\ 5%[/tex] level of significance
a tom tom hoop drum is made up of streched membranes, called heads, which are held tightly across a tubular shell. the drum has diameter 30 cm and height 30 cm. the shell of the drum is made of 5 layers of birch sheathing.a) how much sheating is needed to make the shell?
i d k
Step-by-step explanation:
Complete the dilation centered at point G with a scale factor of 2.
Answer:
G=(-4,5)
G=(2*-4,2*5)
G=(-8,10)
Step-by-step explanation:
What is the solution to the equation 1 over 2 multiplied by n equals 7?
Answer:
n=14
Step-by-step explanation:
multiply both sides by two to get rid of 1/2 and you find n=14
Answer:
14
Step-by-step explanation:
Which of the following statements is INCORRECT?
please help me this assignment is overdue
Answer:
B. DE = 58
Step-by-step explanation:
The base angles (<F and <E) of the ∆DEF are congruent/equal. This means that ∆DEF is an isosceles triangle.
This implies that, the two sides (DF and DE) that are opposite to the base angles are congruent/equal.
DE = 40 (given) => option B is INCORRECT
Therefore:
8x - 24 = 40
Solve for x
8x - 24 + 24 = 40 + 24
8x = 64
8x/8 = 64/8
x = 8 (option C is CORRECT)
Let's find DF and FE:
DF = 8x - 24
Plug in the value of x
DF = 8(8) - 24
DF = 64 - 24
DF = 40 (Option D is CORRECT)
FE = 6x + 10
FE = 6(8) + 10
FE = 48 + 10
FE = 58 (Option A is CORRECT)
The only incorrect statement is:
B. DE = 58
I WILL GIVE BRAINLIEST + LIKE + 5 STARS if you answer this short easy algebra question!!!!!!
Answer: 11pi/6, choice c
Step-by-step explanation:
Answer can be found on a unit circle. We had to memorize it in my class.
Write the percentage shown in the model
The Sine Function
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Plot the data on a scatter plot., Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.0001.
a. y = 67.577 sin(0.500 x - 1.959) + 20.077
b. y = 20.077 sin(0.500 x - 1.959) + 67.577
c. y = 20.077 sin (1.959 x - 0.500) + 67.577
d. y = 20.077 sin (67.577 x -1.959) + 0.500
Please select the best answer from the choices provided
Answer:
B. y = 20.077 sin(0.500 x - 1.959) + 67.577
Step-by-step explanation:
I calculated logically
Solve the following expression when
b = 12
10 + b + b
Answer:
34
Step-by-step explanation:
Plug in 12 in place of b
10+b+b
10+12+12
34
Daniel measures the growth of his tomato plant and records the results in the table.
What was the average rate of growth during this time period for his plant to thenearest tenth?
Answer:
1.2
Step-by-step explanation: it just is
A computer company wants to determine the proportion of defective computer chips from a day's production. A
quality control specialist takes a random sample of 100 chips from the day's production and determines that there
are 12 defective chips. Assuming all conditions are met, he constructs a 95% confidence interval for the true
proportion of defective chips from a day's production. What are the calculations for this interval?
12 +1.65)
12(1-12)
100
O 12 +1.964
12(1-12)
100
0.0.12 +1.65
0.12(1-0.12)
100
0.12(1 -0.12)
O 0.12 +1.967
100
Answer:
0.12 ± 1.96 * √(0.12(0.88) / 100)
Step-by-step explanation:
Confidence interval :
Phat ± Zcritical * √(phat(1 -phat) / n)
Phat = 12/100 = 0.12
1 - phat = 0.88
Zcritical at 95% = 1.96
Hence, we have :
0.12 ± 1.96 * √(0.12(0.88) / 100)
0.12 ± 1.96 * 0.0324961
0.12 ± 0.0636924
Lower boundary = (0.12 - 0.0636924) = 0.0563
Upper boundary = 0.12 + 0.0636924 = 0.1837
The calculations for 95% confidence interval for this case is given as: [tex]CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
How to find the confidence interval for proportion with large sample ?For large enough sample( size > 30), let the population proportion of a quantity be denoted by random variable [tex]p[/tex]
Then, we get:
[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]
where
[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity
and n = size of sample drawn.
It is visible that as we increase the value of n, the standard deviation decreases, therefore, forcing the values of population proportion to be closer to the estimated proportion.
Margin of error is the distance between the mean and one of the end point of the confidence interval(assuming its equal on both the sides of the mean). The margin of error with level of significance [tex]\alpha[/tex] is calculated as:
[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
where [tex]Z_{\alpha/2}[/tex] is the critical value of the test statistic for level of significance [tex]\alpha[/tex]
The confidence interval is then calculated as:
[tex]CI = \hat{p} \pm MOE[/tex]
For the considered case,
the confidence interval is to be found for 95% confidence, therefore,
level of significance = 100% - 95% = 5% = 0.05
At this level of significance, the critical value of test statistic Z is 1.96The sample size given is n = 100The estimated proportion of defective chips estimated from sample is:
[tex]\hat{p}[/tex] = Fraction of defective chips to total chips = 12/100 = 0.12Thus, we get the confidence interval for this case as:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
Thus, the calculations for 95% confidence interval for this case is given as: [tex]CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
Learn more about confidence interval for sample proportion here:
https://brainly.com/question/16427118
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings a.bove 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 100°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.
A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the reading that separates the bottom 4% from the others.
a) -1.89°
b) -1.63°
c) -1.75°
d) -1.48°
Answer:
c) -1.75°
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 0, standard deviation of 1:
This means that [tex]\mu = 0, \sigma = 1[/tex]
Find the reading that separates the bottom 4% from the others.
This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.75 = \frac{X - 0}{1}[/tex]
[tex]X = -1.75*1[/tex]
[tex]X = -1.75[/tex]
The correct answer is given by option c.
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($) 2
4
6
8
10
Probability 0.45 0.3 0.1 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
PLEASE HELP !!!
============================================================
Explanation:
Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.
Example: for the first entry of this row, have 2*0.45 = 0.9
Once that third row is filled out, you add up everything in that row. That will lead to the expected value.
The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4
Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.
Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).
What would be the simple interest on an amount of $4,000 at 4% interest?
$160
$150
$140
$130
Answer:
140
Step-by-step explanation:
The simple interest on an amount of $4,000 at 4% interest rate for one year is $160.
To calculate the simple interest,
Multiply the principal amount by the interest rate and the number of years.
In this case,
The principal amount is $4,000,
The interest rate is 4%,
And we don't know the number of years.
We can assume it's only one year,
So the calculation would be,
Simple Interest = Principal x Rate x Time
Simple Interest = $4,000 x 0.04 x 1
Simple Interest = $160
Therefore,
The simple interest on an amount of $4,000 at 4% interest for one year is $160.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
4x + 9 + = 24 matematicas
Answer:
3.75
Step-by-step explanation:
4x+9=24
4x=24-9
4x=15
x=15/4
x=3.75
Answer:
ESTA MAL ES 25
Step-by-step explanation:
What is the constant of proportionality in the table shown below?
Answer:
3/4.
Step-by-step explanation:
I just know. I studied constant of proportionality for a loooong time! if its wrong tell me.
1) Solve for Side A.
2) Solve for Angle B.
Answer:
solution given;
let
AB=a
AC=b=30ft
AB=c=20ft
<A=115°
By using Cosine rule.
a²=b²+c²-2bc cos angle
a²=30²+20²-2*30*20 Cos 115°
a²=1807.1419
a=√[1807.1419]
a=42.51
Side A is 42.51ft.
Again
Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]
Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]
Cos B=0.7687
<B=Cos -¹(0.7687)
<B=39.46°
Angle B is 39.46
___________________________________
To find [tex] \tt{\overline{A}}[/tex]Given that:[tex]\quad\quad\quad\quad\tt{ \angle{A = 115° }}[/tex]
Using cosine rule:[tex] \tt{\overline{A}²=b²+c²-2bc \cos( \angle{a}) }[/tex]
[tex] \tt{\overline{A}²=(30)²+(20)²-2(30)(20) \cos( \angle{115°}) }[/tex]
[tex] \tt{\overline{A}²=900+400-2(600) \cos( \angle{115°}) }[/tex]
[tex] \tt{\overline{A}²=1300-1200 \cos( \angle{115°}) }[/tex]
[tex] \tt{\overline{A} ²=1807.1419}[/tex]
[tex] \tt{\overline{A}= \sqrt{ 1807.1419}}[/tex]
[tex] \pink {\boxed{ \tt{ \overline{A}=42.51}}}[/tex]
Now, to find [tex]\tt{ \angle{B}}[/tex][tex] \tt{ cos\;B = \frac{ {a}^{2} + {c}^{2} - {b}^{2} }{2ac} }[/tex]
[tex] \tt{ cos\:B = \frac{ {42.51}^{2} + {20}^{2} - {30}^{2} }{2(42.51)(20)} }[/tex]
[tex] \tt{ cos\:B = 0.7687}[/tex]
[tex] \tt{ \angle{B} = { \cos}^{ - 1} (0.7687)}[/tex]
[tex]\pink{\boxed{\tt{ \angle{B} = {39.46°}}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares. Find the volume V of this solid.
Answer:
Volume = [tex]\frac{64}{3}[/tex]
Step-by-step explanation:
Given - Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares.
To find - Find the volume V of this solid.
Solution -
Given that,
The equation of the line with both x-intercept and y-intercept as 4 is -
[tex]\frac{x}{4} + \frac{y}{4} = 1[/tex]
⇒x + y = 4
⇒y = 4 - x
Now,
Volume = [tex]\int\limits^a_b {A(x)} \, dx[/tex]
where
A(x) is the area of general cross-section.
It is given that,
Cross-sections perpendicular to the x-axis are squares.
So,
A(x) = (4 - x)²
As solid lies between x = 0 and x = 4
So,
The Volume becomes
Volume = [tex]\int\limits^4_0 {(4 - x)^{2} } \, dx[/tex]
= [tex]\int\limits^4_0 {[(4)^{2} + (x)^{2} - 8x] } \, dx[/tex]
= [tex]\int\limits^4_0 {[16 + x^{2} - 8x] } \, dx[/tex]
= [tex]{[16 x + \frac{x^{3}}{3} - \frac{8x^{2} }{2} ] } ^4_0[/tex]
= [tex]{[16(4 - 0) + \frac{4^{3}}{3} - \frac{0^{3}}{3} - 4 [4^{2} - 0^{2}] ] }[/tex]
= [tex]{[16(4) + \frac{64}{3} - 0 - 4 [16 - 0] ] }[/tex]
= [tex]{[64 + \frac{64}{3} - 64 ] }[/tex]
= [tex]\frac{64}{3}[/tex]
⇒Volume = [tex]\frac{64}{3}[/tex]
A bag contains 4 red balls and 6 green balls. You plan to select 3 balls at random. Determine the probability of selecting 3 green balls.
What is the critical value t* which satisfies the condition that the t distribution with 14 degrees of freedom has probability 0.35 to the right of t*
Answer:
[tex]t_{0.35,14}= 0.3933306[/tex]
Step-by-step explanation:
From the question we are told that:
Degree of freedom [tex]df=14[/tex]
Significance Level [tex]\alpha=0.35[/tex]
Generally the expression for critical value t is mathematically given by
[tex]t_{\alpha,df}[/tex]
[tex]t_{0.35,14}[/tex]
Therefore From Students T Value Table
[tex]t_{0.35,14}= 0.3933306[/tex]
[tex]T-Value (right-tailed): 0.3933306[/tex]
NEED HELP WHATS THE LOCATION
Answer:
-9, 5
Step-by-step explanation:
Find the mean, median, and range of the following set of numbers: 23,25,27,21,24,27
Answer:
Mean = 24.5
Median = 24.5
Mode = 27
Step-by-step explanation:
plzzzzzz help for a brainly
At a candy store, Brooke bought 1
pound of jelly beans and 6 pounds
of gummy worms for $42
Meanwhile, Ken bought 5 pounds
of jelly beans and 4 pounds of
gummy worms for $54. How
much does one pound of jelly
beans and one pound of gummy
worms candy cost?
Answer:
One pound of jelly beans and one pound of gummy worms candy cost $6 each
Step-by-step explanation:
Given
Let
[tex]J \to[/tex] Jelly Beans
[tex]G \to[/tex] Gummy worms
So, we have:
Brook
[tex]J + 6G = 42[/tex]
Ken
[tex]5J + 4G = 54[/tex]
Make J the subject in the first equation
[tex]J + 6G = 42[/tex]
[tex]J = 42 - 6G[/tex]
Substitute [tex]J = 42 - 6G[/tex] in [tex]5J + 4G = 54[/tex]
[tex]5*[42 - 6G] + 4G = 54[/tex]
Open bracket
[tex]210 - 30G + 4G = 54[/tex]
[tex]210 -26G = 54[/tex]
Collect like terms
[tex]-26G = 54 - 210\\[/tex]
[tex]-26G = -156[/tex]
Divide both sides by -26
[tex]G = 6[/tex]
Substitute [tex]G = 6[/tex] in [tex]J = 42 - 6G[/tex]
[tex]J = 42 - 6*6[/tex]
[tex]J = 42-36[/tex]
[tex]J = 6[/tex]
Which figure is a triangular prism?
Answer:
B
Step-by-step explanation:
A triangular prism is described as a triangle stretched on the third dimension, so the bottom of it will be a square or a rectangle. Two of the sides will also be squares or rectangles. B is the only option that applies to BOTH of these requirements.
Answer:
B
hope it helped !!
Which of the following is not equivalent to the following expression 3)____ 2x2- 16
a. 2x2 + 4x – 4x - 16
b. 2(x2 – 8)
c. 2(x + 8)
d. 4x2 - 32
2
Find the zeros
[tex]x^3+8x^2-20x+48[/tex]
Answer:
Graph each side of the equation. The solution is the x-value of the point of intersection.
x≈−10.37392996
Step-by-step explanation:
In the figure below, triangle RPQ is similar to triangle RTS.
Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.
What is the distance between P and Q?
24
42
50
54
answer D.
Answer:
the correct answer must be 54, but your problem description was not clear defining what corner (letter) of what triangle corresponds to what corner (letter) of the other. but by deduction of what it cannot be, 54 remains.
Step-by-step explanation:
the most likely problem interpretation :
is 42 (of RPQ) the longer or shorter side (compared to 36 and 28 of STR) ?
since the triangle are similar, their angles must be the same, and the side lengths of both triangles must have a constant factor in their relation to each other.
first assumption : 42 is the longer side of RPQ.
then the solution could only be 24 (the only solution option smaller than 42). then 42 must be of the same relation to 36, as 24 is to 28. which is wrong, because 42 is bigger than 36, but 24 is smaller than 28.
so, second assumption, 42 is the shorter side of RPQ.
then 42 is in the same relation to 28, as x is to 36.
so, 42/28 = x/36.
=> 42/7 = x/9
=> 6 = x/9
=> 6*9 = x = 54
write down the value of the 6 in the number 2693
Answer:
6 hundred
Step-by-step explanation:
the value of 6 in 2693 is 6 hundred as :-
TH. H. T. O
2. 6. 9. 3
6 comes under the hundred's value
plzzz mark me as brainliest
Answer:
6 hundred
Step-by-step explanation:
tama po yan im suree lab yow
