Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
If you want to learn more about inequalities, you can read:
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Which of the following is the expanded form of a number? Select all correct answers.
(A) 7·1000+8·100+3· 1/100
(B) 4·100+9·100+3· 1/10 +4· 1/10
(C) 71·10+4·1+6· 1/100 +5· 1/1000
(D) 5·1000+5·100+5·1+5·1/100
(E) 3·1000+8·1000+9·1/1000
(F) 9·1000+3·101+5· 1/10
Answer:
3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000. (ii) 7833.45. = 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths. = 7000 + 800 + 30 + 3 + 4/10 + ...
The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100
How to represent a number in expanded form?
The expanded form of a number involves representing a number by the sum of each digit multiplied by its place value (ones, tens, hundreds, thousands, and so on).
The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100
Find out more on expanded form at: https://brainly.com/question/536253
Which side of XYZ is the longest? A. WY B. XZ C. YZ D. Cannot be determined
Answer:
B
Step-by-step explanation:
In a triangle the longest side is opposite the largest angle.
∠ Y = 180° - (60 + 43)° = 180° - 103° = 77°
∠ Y is the largest angle in the triangle, then the side opposite is the longest
That is XZ is the longest side → B
Which rules define the function graphed below?
eOf
y
4
0.3)
3
(3,2)
1
2
3
4
В
7
x
2
3
Answer: y= 2x+3; y=-1/3x+3
Step-by-step explanation:
First option on edge
y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
The correct option is 1.
What is a graph?Graph, a visual depiction of statistical information or a relationship between variables that serves a purpose. Graphs serve a predictive purpose because they have the advantage of displaying broad trends in the quantitative behavior of data. But, as just approximations, they may be imprecise and occasionally deceptive. The majority of graphs include two axes: a horizontal axis that represents a set of independent variables and a vertical axis that represents a set of dependent variables. A broken-line graph, in which time is typically the independent variable, is the most typical type of graph.
The graph of the functions and the points on the line is given.
The points for 1st function = (0, 3)
The points for 2nd function = (3, 2)
The given function:
y = 2x + 3
Substituting (0, 3)
3 = 2(0) + 3
3 = 3
Similarly, for y = -(1/3)x + 3
Substituting (3, 2)
2 = -(3/3) + 3
2 = -1 + 3
2 = 2
Hence, y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
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A data set includes data from student evaluations of courses. The summary statistics are n, , s. Use a significance level to test the claim that the population of student course evaluations has a mean equal to . Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Complete question :
A data set includes data from student evaluations of courses. The summary statistics are nequals92, x overbarequals4.09, sequals0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Answer:
H0 : μ = 4.25
H1 : μ < 4.25
T = - 2.79
Pvalue =0.0026354
we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Step-by-step explanation:
Given :
n = 92, xbar = 4.09, s = 0.55 ; μ = 4.25
H0 : μ = 4.25
H1 : μ < 4.25
The test statistic :
T = (xbar - μ) ÷ s / √n
T = (4.09 - 4.25) ÷ 0.55/√92
T = - 0.16 / 0.0573414
T = - 2.79
The Pvalue can be obtained from the test statistic, using the Pvalue calculator
Pvalue : (Z < - 2.79) = 0.0026354
Pvalue < α ; Hence, we reject the Null
Thus, we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Answer:
Step-by-step explanation:
The null and alternative hypotheses are:
Null hypothesis: The population mean of student course evaluations is equal to 4.25.
Alternative hypothesis: The population mean of student course evaluations is not equal to 4.25.
The significance level is 0.01, so the test will be a two-tailed test.
The test statistic is calculated as:
t = (x - μ) / (s / √n) = (4.18 - 4.25) / (0.54 / √97) = -2.63
The degrees of freedom for the t-distribution is n-1 = 96. Using a t-table or a calculator, the P-value for a two-tailed test with 96 degrees of freedom and a t-value of -2.63 is approximately 0.010.
Since the P-value (0.010) is less than the significance level (0.01), we reject the null hypothesis. We have sufficient evidence to conclude that the population mean of student course evaluations is not equal to 4.25.
In other words, the data provides strong evidence to suggest that the average student course evaluation rating is significantly lower than 4.25.
Find the measure of major
arc
OQN.
M
K
IN
38
6
P
Answer:
Measure of the major arc OQN = 292°
Step-by-step explanation:
Measure of the major arc OQN = 360° - m(arc ON)
By the definition of central angle subtended at the center by the arc,
Measure of arc ON = Central angle subtended by the arc
= 38°
Now measure of the major arc OQN = 360° - 38°
= 292°
A sociologist wants to construct an 80 confidence interval for the proportion of children aged - living in New York who own a cell phone. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) A survey by the National Consumers League taken in estimated the nationwide proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of
This question is incomplete, the complete question is;
A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.
(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?
Answer:
the required or needed sample size is 946
Step-by-step explanation:
Given the data in the question;
confidence level = 80%
⇒ 100( 1 - ∝ )% = 80%
100 - 100∝ = 80
100∝ = 100 - 80
∝ = 20/100
level of significance ∝ = 0.2
[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }
p = 0.36
Allowable margin of error E = 0.02
let n be the required sample size.
we know that
E = √( p( 1 - p) / n )
given that margin of error E = 0.02
⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02
⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816 = 0.02
⇒ √( 0.2304 / n ) × 1.2816 = 0.02
√( 0.2304 / n ) = 0.02 / 1.2816
√( 0.2304 / n ) = 0.01560549
( 0.2304 / n ) = ( 0.01560549)²
0.2304 / n = 0.000243531318
n = 0.2304 / 0.000243531318
n = 946
Therefore, the required or needed sample size is 946
ILL GIVE BRAINLIEST PLS HELP DUE SOON!
Answer:
area of shaded portion = 30.5 cm²
Step-by-step explanation:
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of rectangle = L x W = 8 x 6 = 48 cm²
78.5 - 48 = 30.5 cm²
Please answer if you are SURE.
Answer Step-by-step explanation:
2x-7
-14
3x
2+7
What shape are the faces, other than the base,
of a pyramid?
Answer:
The base of the pyramid is a triangle, and the lateral faces are also triangles.
In a large county in Central Pennsylvania, 42% of all registered voters are Democrats and 53% are Republicans. What is the probability a randomly selected voter is affiliated with some other party?
Answer:
Probability [Randomly selected voter affiliated with other party] = 1/20
Step-by-step explanation:
Given:
Percentage of Democrats voters = 42%
Percentage of Republican voters = 53%
Find:
Probability [Randomly selected voter affiliated with other party]
Computation:
Percentage of other party voters = 100% - [Percentage of Democrats voters + Percentage of Republican voters]
Percentage of other party voters = 100% - [42% + 53%]
Percentage of other party voters = 100% - 95%
Percentage of other party voters = 5%
Probability [Randomly selected voter affiliated with other party] = Percentage of other party voters / 100%
Probability [Randomly selected voter affiliated with other party] = 5% / 100%
Probability [Randomly selected voter affiliated with other party] = 1/20
The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?
PLEASE HELP THIS IS DUE TODAY
rearrange the parallelogram as a rectangle. Then find the area.
Help due at 12 am
God bless you
plzz help for brainly
Answer:first one
Step-by-step explanation:
PLEASE ANSWER ASAP: Dianna can carry up to 15lbs in her backpack. Her lunch weighs 1 lb, her gym shoes weigh 2 lbs, and her books weigh 1.5 lbs each. Which inequality shows how many books Dianna can carry in her bag if she has her lunch and gym shoes?
Answer: A
Step-by-step explanation:
she can carry 1.5 pounds of books plus the extra 3 pounds as long as its less than or equal to 15 lbs
The inequality that shows the number of books that Diana can carry in her bag if she has her lunch and gym shoes is 3 + 1.5x ≤ 15.
What inequality represents the number of books that Diana can carry?The first step is to determine the total weight of the items in her bag:
1 + 2 = 3lbs
The second step is to determine the inequality sign to use:
the inequality sign to be used is the less than or equal to sign - ≤
The equation becomes: weight of items in her bag + (weight of one book x total number of books) ≤ weight the bag can carry
3 + 1.5x ≤ 15
There are 8 people seated, equally spaced, along a counter. If each person has 1 3/8 feet of counter space, how long is the counter?
Answer:
8+(13-8)=13 pls Point pls
A pool can be filled by one pipe in 8 hours and by a second pipe in 2 hours. How long will it take using both pipes to fill the pool?
let the time taken to be filled by both pipes be y
1/2 +1/8=1/y
(4+1)/8=1/y
5/8=y
cross multiplying
5y=8
y=8/5
=1.6hrs
!NO LINKS, NO FILES!
please :)
Answer: 10.5 km
A = bh
A = 3.5 x 3
A = 10.5
Answer:
I think ur answer would be 10.5 km
Step-by-step explanation:
srry if wrong hope this helps
Tell me at least one way you use math in your everyday life. Please put your answer in a complete sentence.
Answer:
To make mistakes and learn more.
Step-by-step explanation:
Because, the only way to learn math is to make mistakes, its okay to make mistakes!
Answer:
i use math in my everyday life to calculate calories for my diet.
Step-by-step explanation:
4. Which of the following describes all the solutions of -4x + 2y > 12 when y = 4?
A x < -1
B X > -1
CX-3
D x < 3
Answer:
Option B is correct
Step-by-step explanation:
Given data
We are given the expression
-4x + 2y > 12
We want to substitute y=4 into the expression
-4x + 2(4) > 12
-4x + 8 > 12
-4x> 12-8
-4x> 4
divide both sides by -4
x> 4/-4
x>-1
Hence option B is correct
What is the missing number?
Answer:
12
Step-by-step explanation:
The missing number is the y-intercept (b) of the table of values given.
Since we already know from the equation that the slope (m) = -³/2, therefore to find y-intercept (b) substitute the coordinates of a pair of value, say (x, y) = (4, 6), and m = -³/2 into y = mx + b
Thus,
6 = -³/2(4) + b
6 = -6 + b
6 + 6 = b
b = 12
The missing number is 12.
Which will give you:
[tex] y = -\frac{3}{2}x + 12 [/tex]
PLEASE HELP!
In the figure below, m∠R is 66°, and m∠T is 122°.
Note: Figure is not drawn to scale.
What is m∠Q?
A.
58°
B.
56°
C.
24°
D.
124°
Answer:
B. 56°
Step-by-step explanation:
We are given that m∠R is 66° and m∠T is 122°.
We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.
Now, we can use ∠R and ∠S to find ∠Q.
66° + 58° = 124°
180° - 124° = 56°
Answer:
m∠Q is 56°.
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.
In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.
So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.
Therefore, m∠Q is 56°.
What is the answer please I need help
Answer:
+ 3 , is correct answer
hope it helps
Answer:
+3
Step-by-step explanation:
as we divide 27 by (-3) then the answer will (-9) and similarly next one but the sign will change
I need help figuring this out, thank you! :)
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8Anyone know how to answer this math question
Answer:
[tex](x+1)^2+(y-5)^2=36[/tex]
Step-by-step explanation:
The standard form equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where
(h, k) is the center and r is the radius.
Match up the point (-1, 5) with (h, k) to see that h = -1 and k = 5.
x - h = x - (-1) = x + 1
y - k = y - 5
[tex](x+1)^2+(y-5)^2=36[/tex]
Stacia buys 6 yards of ribbon to make a costume. She has 2 feet of ribbons left over. How many feet of ribbon did Stacia use to make the costume? Explain your work.
ANSWER WITH WORDS
Answer:
16 feet
Step-by-step explanation:
6 yards of ribbon = 6 x 3 =18 feet
ribbon used = 18 -2 = 16 feet
What value of c makes the equation true? 34 = 6 + 4c
Answer:
7
Step-by-step explanation:
34-6=28
28/4=7
c=7
Answer:
The answer would be 'c=7'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
Find the value of 4.5 times the value of one fourth of 12
Answer: 13.5
Step-by-step explanation: 1/4 of 12 is 3, so 3x4.5=13.5
What is 4/6 times 9 I need this
Answer:
5.4 I think sorry if its wrong
Step-by-step explanation:
how to write 802 049 in words?
Answer:
See explanation below
Step-by-step explanation:
Eight hundred two thousand and forty-nine