One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False
A. True
In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.
Does x+ y < -4 have a solution?
Answer:
infinite solutions :)
Step-by-step explanation:
infinity solutions, there is infininte possibilitys.
Write the equation of the graph
Answer:
x + 2y - 5 = 0
Step-by-step explanation:
We can see that , the graph passes through (0,2.5) and (5,0) . Therefore the ,
x intercept is 5 y intercept is 2.5We can use the intercept form of equation as ,
=> x/a + y/b = 1
=> x/5 + y/2.5 = 1
=> x + 2y/5 = 1
=> x + 2y = 5
=> x + 2y -5 = 0 .
This equation can be verified by plotting the graph .[ Refer to attachment ]
Hence the equation of the line is x + 2y - 5 = 0 .Hyo spent $48.84 for a gold-plated trophy that costs $37 per pound. How much did the trophy weigh?
What is the circumference of a circle with a diameter of 58 centimeters?
Step-by-step explanation:
by using the formula of circumference with diameter pie ×diameter
Solve for z 7-√3z+2=4 What is the root? If there is no root, choose none. z = 7/3 z = 11/3 none
Answer:
Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3
7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~
Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz
This box can be packed with 48 unit cubes. The edge length of each
unit cube is 1 meter. What is the volume of the box?
11 cubic meters
11 meters
48 meters
48 cubic meters
134 Complete
Answer:
Volume of the box = 48 cubic meter
Step-by-step explanation:
Given:
Total number of cubes used = 48 cubes
Length of each cube = 1 meter
Find:
Volume of the box
Computation:
Volume of each cube = Side³
Volume of each cube = 1³
Volume of each cube = 1 cubic meter
Volume of the box = 48[Volume of each cube]
Volume of the box = 48[1 cubic meter]
Volume of the box = 48[1]
Volume of the box = 48 cubic meter
A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%
Step-by-step explanation:
You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)In the diagram above z1 =2x+20 and z2 =3x+10. Find the measure of z1.
Answer:
40
Step-by-step explanation:
Angle 1 and 2 are alternate angles
Then they are equal
2x+20=3x+10
Solve for x
X=10
Then 2 (10)+20 =40
Can someone answer this please
Answer:
Blue
Step-by-step explanation:
A straight line has an angle of 180 on each side.
5a+18+24-a+8a-30=180
12a+12=180
12a=168
a=14
Green: 14x5+18=88
Blue:24-14=10
Yellow:8x14-30=82
Use Euler's formula to find the missing number.
Vertices: 13
Edges: 26
Faces: ?
A.14
B.15
C.16
D.17
Answer:
15
Step-by-step explanation:
trust me bro
hi could someone please tell me if this is correct?:)
If 50 students were surveyed about their after-school sports, how many students play soccer?
Answer:
15
Step-by-step explanation:
30% is equal to 0.3 as a proportion
Multiply 50 by 0.3 to get the number of students who play soccer.
50 X 0.3 = 15
Answer:
15
Step-by-step explanation:
football and track =50% =25 students
20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer
Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
increases her rate by 2 yards per minute. Plot two ordered pairs showing the distances she will fly at 1
minutes and 2 minutes, respectively, at her new rate.
Sometimes she may move backwards.
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]y =2x[/tex]
[tex]R =+2[/tex] --- increment in the rate
First, we need to model the new rate
A linear equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
Compare [tex]y =2x[/tex] and [tex]y = mx + b[/tex]. we have:
[tex]m =2[/tex]
The above represents the previous rate.
The new rate:
[tex]R =+2[/tex]
Rewrite as:
[tex]R = m+2[/tex]
[tex]R = 2+2[/tex]
[tex]R = 4[/tex]
So, the model is:
[tex]y = Rx[/tex]
[tex]y = 4x[/tex]
The plot at 1 and 2 minutes
When [tex]x = 1[/tex]
[tex]y = 4x = 4 * 1 = 4[/tex]
When [tex]x = 2[/tex]
[tex]y = 4x = 4 * 2 = 8[/tex]
So, we have:
[tex](x_1,y_1) =(1,4)[/tex]
[tex](x_2,y_2) =(2,8)[/tex]
Whether she moves backwards or forward, the distance covered remains the same
See attachment for plot
An arena charged $119.49 for 4 tickets. This price included a $9.49 service fee What was the cost of one ticket?
Enter your answer in the box.
$
Answer: $27.50
Step-by-step explanation: So first off you would subtract the service fee from the total amount to get $110.00 then you would divide that by four to get $27.50 per ticket.
what decimal is greater than 1.434.
a. 1.443
b. 1.034
c. 1.340
d. 1.433
Answer:
the correct answer is A
Step-by-step explanation:
1.443-1.434
= 0.009
Help! PLEASEEE! THANK YOU FOR HELPING BTW!
Answer:
Use the slope formula and slope-intercept form y = mx + b to find the equation you get:
y = 8x
If thats not what your looking for then for every 1 (x) you get 8 (y)
Step-by-step explanation:
Binomial distributions
The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.5%. What is the probability that in a random sample of 430 voters, less that 49.6% say they will vote for the incumbent?
Answer: the vote will get 82.45%
Step-by-step explanation:
pls answer ill mark brainlist in the screenie
Answer:
the green socks are cheaper than the orange
Step-by-step explanation:
common maths
Answer:
Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25
Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45
Green socks are cheaper
Step-by-step explanation:
Formula to convert 220 oz to grams
Answer:
For an approximate result, multiply the mass value by 28.35
O2) Work out 30% of £5.80.
Answer:
1.74
Step-by-step explanation:
Multiply 5.80 times .30
Answer:
1.74
Step-by-step explanation:
To solve this, lets multiply the value by the percentage.
Our value is 5.8
And our percentage is 30%.
Lets convert this into a decimal, to do this, divide 30 by 100:
30/100
=
0.3
Now that we have the percentage in decimal form, multiply it by the 5.8:
5.8*0.3
=
1.74
This is your answer!
Hope this helps! :)
An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses
Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
What is the constant of proportionality for the table below?
Answer:
Equation:y = 1/2x . or x = 2y
Constant = 2
Step-by-step explanation:
Input y = output x
the first input/output says that when inputed 2, the number 1 is outputted.
Similarly, when 5 is inputted, 2.5 is the output.
1/2 = 2.5/5
That means that y = 1/2 x
or x = 2y
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Factor 4x2 - 1.
A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)
Answer: A) (2x+1)(2x−1)
How to: Since both terms are perfect squares, factor using the difference of squares formula,
Have a great day and stay safe !
you have the following coins in your pocket five quarters six dimes two nickels and 12 pennies what is the probability as a decimal you would draw a dime.
Answer: The probability of you drawing a dime is 0.24
Step-by-step explanation:
5 quarters, 6 dimes, 2 nickels, 12 pennies
5+6+2+12= 25
6/25= 0.24 or 24%
Answer:
0.24
Step-by-step explanation:
P(dime) = 6/25 which is 0.24
Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
a-1. Select the null and the alternative hypotheses.
H0: p ≥ 0.70; HA: p < 0.70
H0: p = 0.70; HA: p ≠ 0.70
H0: p ≤ 0.70; HA: p > 0.70
a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
a-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
a-5. What is the conclusion?
Older workers in Asia feel less fulfilled
Older workers in Asia do not feel less fulfilled
At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
b-1. Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≥ 0.50; HA: p < 0.50
H0: p ≤ 0.50; HA: p > 0.50
b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
b-3. Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
b-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
b-5. What is the conclusion?
Younger workers in Asia feel more fulfilled
Younger workers in Asia do not feel more fulfilled
Answer:
H0: p ≥ 0.70; HA: p < 0.70
Sample proportion = 0.625
Test statistic = -1.79
Pvalue = 0.0367
Older workers in Asia feel less fulfilled
B.)
H0: p ≤ 0.50; HA: p > 0.50
0.58
2.35
0.0094
younger workers in Asia feel more fulfilled
Step-by-step explanation:
1.)
H0: p ≥ 0.70;
HA: p < 0.70
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
Phat = x / n = 75/120 = 0.625
1 - p = 1 - 0.7 = 0.3
(0.625-0.70) / sqrt(0.7*0.3/120)
-0.075 / 0.0418330
= - 1.79
Pvalue FROM Zscore calculator :
Pvalue = 0.0367
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.
B.)
H0: p ≤ 0.50; HA: p > 0.50
Sample proportion, phat = 58% = 0.58
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
(0.58 - 0.50) / sqrt(0.58*0.42)/210)
0.08 / 0.0340587
Test statistic = 2.35
Pvalue FROM Zscore calculator :
Pvalue = 0.0094
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts
dont give me files. answer on here only.
Answer:
Look at the image.
Step-by-step explanation:
The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why?
Answer:
look at the picture i sent
ARE the square root of the positive integer irrational? if not given an example of the square root of a number that is a rational number
9514 1404 393
Answer:
no; √4 = 2
Step-by-step explanation:
If an integer is the square of another integer, its square root is rational. For example, 9 = 3², so √9 = 3, a rational number.
The square root of an integer is irrational if and only if the integer is not a perfect square.