Answers
Explanation: 78.5 (circumference) / 2 times pi (6.28) = 12.5 (radius)
Related Questions
2.86= ? teneh + 6 hundredth
Answers
Answer:
8
Step-by-step explanation:
Answer:
8 and 6.
Step-by-step explanation:
2.86 has tenths and hundredths place.
After the decimal point is the tenths place and after the tenths place is hundredths place.
The number 8 is the tenths place and the number 6 is in the hundredths place.
F(x)=(x+1)(x-3)(x-4)
Answers
Answer :
x1 = -1
x2= +3
x3 = +4
I hope it helps
If you are doing it by roots how ever it would be 3
4. The area of a rhombus with one diagonal is 8.72 cm long is the same as the area of a square of side 15.6 cm. Find the length of the other diagonal of the rhombus.
Answers
Answer:
55.82 cm
Step-by-step explanation:
d1= 8.72 cm
a= 15.6 cm
A rhombus= 1/2*d1*d2 = A square
A square= 15.6²= 243.36 cm²
d2= 2A/d1= 2*243.36/8.72 ≈55.82 cm
Find the scale ratio for the map described below. 1 mm (map) equals 500 m (actual) The scale ratio is 1 to nothing.
Answers
Answer:
1:500000
Step-by-step explanation:
1 mm (map) equals 500 m (actual) .
Let's convert 500 m to mm.
1m = 1000mm
500m = 500000 mm
So 1mm to 500000mm on a scale is
1:500000
So it's all about converting the metre to million metre then doing the ratio.
In this case we are not to divide anything because it's already in 1.
So it's 1mm on paper then 500000mm on actual.
Thank you
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(1) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
(2) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
(3) What is the p-value? (Round your answer to four decimal places.)
(4) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
Answers
Answer:
(a) The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.
(b) The test statistic is -2.2361.
(c) The p-value of the test is 0.026.
(d) α = 0.05.
Step-by-step explanation:
In this case a hypothesis test is to be performed to determine whether the mean difference in the husband's versus the wife's satisfaction level is negative.
(a)
The data provided is paired data.
So a paired t-test would be used.
The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.
The hypothesis can be defined as follows:
[tex]\text{H}_{0}:\ \mu_{d}=0\\\\\text{H}_{a}:\ \mu_{d}<0[/tex]
(b)
Compute the test statistic as follows:
[tex]t=\frac {\bar d-\mu_{d}}{\sigma_{d}/\sqrt{n}}[/tex]
[tex]=\frac{-0.50-0}{0.7071/\sqrt{10}}\\\\=-2.2360894\\\\\approx -2.2361[/tex]
The test statistic is -2.2361.
(c)
Compute the p-value as follows:
[tex]p-value=P(t_{n-1}<t)\\\\=P(t_{9}<-2.2361)\\\\=0.026[/tex]
The p-value of the test is 0.026.
(d)
It is provided that the significance level of the test is, α = 0.05.
Find the volume of this cone.
Round to the nearest tenth.
10ft
8ft
[? ] ft
Answers
Answer:
V ≈ 670.2 [tex]ft^3[/tex]
Step-by-step explanation:
Use the formula of the volume of a cone, which is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Plug in your given components and solve for V:
[tex]V=\pi (8)^2\frac{10}{3} \\V=\pi (64)\frac{10}{3} \\V=\pi (64)(3.33)\\V=\pi (213.33)\\V=670.2[/tex]
Which function has the same range?
Answers
Answer:
I would say the second one
Step-by-step explanation:
f(x) has a range of y<0, because it is reflected over the x axis
g(x) = -5/7(3/5)^-x is also reflected over the x axis, except also in the y axis. Regardless of the reflection in the y-axis, y still cannot be equal to or greater than 0. Therefore, I believe it is the second choice.
(The third and forth choice are the same, which rules them both out. The first on reflects it over the y-axis, meaning that x can be greater than 0.)
The diagram shows a circle, centre O.
Work out the value of a.
BCO=41 degrees
Answers
Answer:
a = 49°
Step-by-step explanation:
OB = OC ( both radii of the circle ), thus
Δ BOC is isosceles and the base angles are congruent, that is
∠ OBC = ∠ OCB = 41° , so
∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°
The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus
a = 0.5 × 98° = 49°
If the measure of the angle ∠BOC will be 98°. Then the measure of the angle ∠BAC will be 49°.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
The measure of the angle ∠BCO is 41°.
The angle ∠BCO and angle ∠CBO will be congruent. Because they are angles of an isosceles triangle.
We know that the sum of all the interior angles of the triangle will be 180°. Then the measure of the angle ∠BOC will be given as,
∠BOC + ∠CBO + ∠BCO = 180°
∠BOC + 41° + 41° = 180°
∠BOC = 98°
Then the measure of the angle ∠BAC will be
∠BAC = (1/2) ∠BOC
∠BAC = 1/2 x 98°
∠BAC = 49°
If the measure of the angle ∠BOC will be 98°. Then the measure of the angle ∠BAC will be 49°.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
If AD=BD, which of the following relationships can be proved and why?
B
o
A. A ACD= A BCD, because of ASA.
B. XACD N BOD because of SAS
C. There is not enough information to prove a relationship.
(D. A ACD S ABCD, because of AS
SUBMIT
< PREVIOUS
Answers
Answer: SAS
Step-by-step explanation:
Five times the sum of a number and 13 is 20. Find the number
Answers
Answer:
x = -9
Step-by-step explanation:
Step 1: Write out expression
5(x + 13) = 20
Step 2: Distribute
5x + 65 = 20
Step 3: Isolate x
5x = -45
x = -9
And we have our answer!
Answer:
-9
Step-by-step explanation:
Let the number be x.
5(x+13) = 20
Expand.
5x+65 = 20
Subtract 26 on both sides.
5x = 20 - 65
5x = -45
Divide 5 into both sides.
x = -45/5
x = -9
The number is -9.
Using the order of operations, what should be done first to evaluate 12 divided by (negative 6) (3) + (negative 2)? Divide 12 by 5. Multiply –6 and 3. Divide 12 by –6. Add 3 and –2.
Answers
Answer:
first you need to multiply -6 and 3
Answer:
-6 and 3
Step-by-step explanation:
sorry it was an late answer I'm just tryna gain points :D
Need help ASAP thankyou!!!!
Answers
Answer:
V =100.48 cm^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 pi ( 4)^2 6
V = 1/3 pi ( 16)*6
V =32 pi cm^3
Let pi 3.14
V =100.48 cm^3
Answer:
Volume = [tex]100.48 \,\,cm^3[/tex]
Step-by-step explanation:
Recall that the volume of the cone is given by the formula:
[tex]Volume=\frac{1}{3} Base * Height[/tex]
that is, one third of the product of the triangles base area times the triangle's height. In this case, the area of the base is a circle of radius 4 cm which using the formula for the area of the circle gives:
[tex]\pi\,R^2=\pi\,(4\,\.cm)^2=16\,\pi\,\,cm^2[/tex]
using this expression for the base in the volume formula, as well as the height of the cone (6 cm) it renders:
[tex]Volume=\frac{1}{3} \,16\,\pi\,(6)\,\,cm^3=32\,\pi\,\, cm^3=100.48 \,\,cm^3[/tex]
What is the equivalent to 2
Answers
Answer:
There are no choices on your question
Step-by-step explanation:
Maybe 2/1 or 4/2 or 10/5.
Find the value of each variable
Answers
Answer:
To find a we use sine
sin 60° = a / 4√3
a = 4√3sin60°
a = 6
To find b we use sine
sin 45° = a / b
a = 6
b = 6 / sin 45°
b = 6√2
To find c we use cosine
cos 60° = c / 4√3
c = 4√3 cos 60°
c = 2√3
To find d we use tan
tan 45° = a / d
a = 6
d = 6 / tan 45°
d = 6
Therefore a = 6 b = 6√2 c = 2√3
d = 6
That's option A.
Hope this helps
(12 points) In Africa, the Joint United Nations Programme on HIV/AIDS determined that the probability that an individual adult in Africa has the disease is 0.05. Assume for any HIV test, the probability that the test result is positive given a real HIV carrier is 0.98, and the probability that the test result is positive given a healthy individual (i.e., a person who does not carry HIV virus) is 0.05. (a) (5 pts) What is the probability that a test result will be negative
Answers
Answer:
90.35% probability that a test result will be negative
Step-by-step explanation:
We have these following probabilities:
0.05 = 5% probability that an individual adult has the disease.
If the adult has the disease, 1 - 0.98 = 0.02 = 2% probability of a negative test.
1 - 0.05 = 0.95 = 95% probability that an individual adult does not have the disease.
If the adult does not have the disease, 1 - 0.05 = 0.95 = 95% probability of a negative test.
What is the probability that a test result will be negative
2% of 5% or 95% of 95%. So
p = 0.02*0.05 + 0.95*0.95 = 0.9035
90.35% probability that a test result will be negative
Identify the steps used in Algorithm 1 to find the maximum element in the following finite sequence 1, 8, 12, 9, 11, 2, 14, 5, 10, 4.
Algorithm 1 procedure max(a1, a2, . . . , an : integers) max :______
Answers
Answer:
max(1, 8, 12, 9, 11, 2, 14, 5, 10, 4) = 14
Step-by-step explanation:
Here is the algorithm to find the maximum element:
procedure max(a1, a2, . . . , an : integers)
max := a1
for i := 2 to n
if max < ai then max := ai
return max{max is the largest element}
Now lets see how this algorithm works with the given sequence. 1, 8, 12, 9, 11, 2, 14, 5, 10, 4.
The value of max is set to 1. So max = 1.Now the for loop starts. The loop variable i which works as an index moves throughout the sequence i.e. from 2 to n. The value of n is 10 since the total number of elements in the sequence are 10. The first iteration: i=2. Now the IF condition if max < ai inside this FOR loop checks if the value of max is less than the element at i-th position. As the current value of max=1 and the value at i=2 is 8 which means the second element of the sequence. So this condition evaluates to true as 1 < 8. So the IF part is executed which has a statement max := ai which means if the value of max is less than the element at i-th index then the value of max is set to that element. So max = 8.The second iteration: at i = 3. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 8 and current value of i=3 means the third element of the sequence which is 12. So this condition evaluates to true as 8 < 12. So the IF part is executed which has a statement max := ai which means if the value of max is less than the element at i-th index then the value of max is set to that element. So max = 12.The third iteration at i = 4. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=4 means the fourth element of the sequence which is 9. Now the IF condition evaluates to false because 12 > 9. Hence the value of max remains the same. So max = 12.The fourth iteration at i = 5. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=5 means the fifth element of the sequence which is 11. Now the IF condition evaluates to false because 12 > 11. Hence the value of max remains the same. So max = 12.The fifth iteration at i = 6. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=6 means the sixth element of the sequence which is 2. Now the IF condition evaluates to false because 1 2> 2. Hence the value of max remains the same. So max = 12.The sixth iteration at i = 7. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 12 and current value of i=7 means the seventh element of the sequence which is 14. So this condition evaluates to true as 14 < 12. So the IF part is executed which has a statement max := ai which means if the value of max is less than the element at i-th index then the value of max is set to that element. So max = 14.The seventh iteration at i = 8. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 14 and current value of i=8 means the eighth element of the sequence which is 5. Now the IF condition evaluates to false because 1 4> 5. Hence the value of max remains the same. So max = 14.The eighth iteration at i = 9. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 14 and current value of i=9 means the ninth element of the sequence which is 10. Now the IF condition evaluates to false because 1 4> 10. Hence the value of max remains the same. So max = 14.The ninth iteration at i = 10. Now the IF condition if max < ai checks if the value of max is less than the element at i-th position. As the current value of max= 14 and current value of i=10 means the tenth element of the sequence which is 4. Now the IF condition evaluates to false because 1 4> 4. Hence the value of max remains the same. So max = 14.Now the loop ends as the value of i now becomes 11 because the loop is execute at i from 2 to n and value of n = 10. So the loop breaks and the next statement return max{max is the largest element} is executed which returns the current value of max. This means it returns the largest element in the sequence. Since the current value of max = 14. Hence max = 14 is the largest element.A simulated exercise gave n = 20 observations on escape time (sec) for oil workers, from which the sample mean and sample standard deviation are 370.42 and 25.74, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 min. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using a significance level of .05. (Give t to 2 decimal places and the p-value to 3 decimal places.)t =P-value =ConclusionReject the null hypothesis, there is significant evidence that true average escape time exceeds 6 min. Reject the null hypothesis, there is not significant evidence that true average escape time exceeds 6 min. Fail to reject the null hypothesis, there is not significant evidence that true average escape time exceeds 6 min. Fail to reject the null hypothesis, there is significant evidence that true average escape time exceeds 6 min.
Answers
Answer:
Reject the null hypothesis, there is significant evidence that true average escape time exceeds 6 min.
Step-by-step explanation:
In this case we need to test whether the data contradict the prior belief that the true average escape time for oil workers would be at most 6 min or 360 seconds.
The information provided is:
[tex]n=20\\\bar x=370.42\\s=25.74\\\alpha =0.05[/tex]
The hypothesis for the test can be defined as follows:
H₀: The true average escape time for oil workers is more than 360 seconds, i.e. μ > 360.
Hₐ: The true average escape time for oil workers is at most 360 seconds, i.e. μ ≤ 360.
As the population standard deviation is not known we will use a t-test for single mean.
Compute the test statistic value as follows:
[tex]t=\frac{\bar x-\mu}{\s/\sqrt{n}}=\frac{370.42-360}{25.74/\sqrt{20}}=1.81[/tex]
Thus, the test statistic value is 1.81.
Compute the p-value of the test as follows:
[tex]\text{p-value}=P(t_{n-1}<t)[/tex]
[tex]=P(t_{20-1}<1.81)\\\\=P(t_{19}<1.81)\\\\=0.044[/tex]
*Use a t-table.
Thus, the p-value of the test is 0.044.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.044 < α = 0.05
The null hypothesis will be rejected at 5% level of significance.
Thus, concluding that the true average escape time would be at most 6 min.
Write the equation represents the line.
Answers
Answer:
y = 3/4x+2
Step-by-step explanation:
The change in y over change in x of the two points given is 3/4, which is the slope. The line intersects with the y axis at 2, making 2 the y-int
Use the end behavior of the graph to solve 3x^3+9x^2-12x < 0
Answers
Answer:
1. x = 4
2. x = -1
3. x = 0
Answer:
Step-by-step explanation:
HELP! What is the solution to the equation below? Round your answer to two decimal places. 4x = 20 A. x = 2.99 B. x = 0.46 C. x = 1.30 D. x = 2.16
Answers
Answer:
X = 5
Step-by-step explanation:
If 4x = 20
And we are asked to find the solution.
It simply means looking for the value of x
So
4x = 20
X = 20/4
X = 5
X is simply the solution
X = 5
Answer:
D 2.16
Step-by-step explanation:
a p e x just use log
Two contractors will jointly pave a road, each working from one end. If one of them paves 2/5 of the road and the other 81 km remaining, the length of that road is
Answers
a particular city had a population of 24,000 in 1900 and a population of 29,000 in 1920. Assuming that its population continues to grow exponentially at a constant rate, what population will it have in 2000
Answers
Answer:
It will have a population of 61,779 in 2000.
Step-by-step explanation:
The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:
[tex]P(t) = P(0)(1+r)^{t}[/tex]
In which P(0) is the population in 1900 and r is the growth rate.
Population of 24,000 in 1900
This means that [tex]P(0) = 24000[/tex]
Population of 29,000 in 1920.
1920 is 1920 - 1900 = 20 years after 1900.
This means that P(20) = 29000. So
[tex]P(t) = P(0)(1+r)^{t}[/tex]
[tex]29000 = 24000(1+r)^{20}[/tex]
[tex](1+r)^{20} = \frac{29000}{24000}[/tex]
[tex]\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}[/tex]
[tex]1 + r = 1.0095[/tex]
So
[tex]P(t) = P(0)(1+r)^{t}[/tex]
[tex]P(t) = 24000(1.0095)^{t}[/tex]
What population will it have in 2000
2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).
[tex]P(t) = 24000(1.0095)^{t}[/tex]
[tex]P(100) = 24000(1.0095)^{100} = 61779[/tex]
It will have a population of 61,779 in 2000.
Given that (-2,7) is on the graph of f(x), find the corresponding point for the function f(x + 4).
Answers
Answer:
(-6, 7)
Step-by-step explanation:
In order to make (x+4) = -2, we must have x = -6. Then the point (-6, 7) will be on the graph of f(x+4).
__
Another way to think about this is that replacing x with x-h causes the graph to be shifted right by h units. Here, we have h=-4, so the graph is shifted left 4 units. Shifting the point (-2, 7) by 4 units to the left moves it to (-2-4, 7) = (-6, 7).
Answer:
PLATO: -6,7
Step-by-step explanation:
Any help would be great
Answers
Answer:
I don't know
Step-by-step explanation:
sorry I can't help,use a calculator
Answer:
58.5 miles
Step-by-step explanation:
Let's Use unitary Method
8 hours = 52 miles
Then,
1 hour = 52/8 miles
1 hour = 6.5 miles
Multiplying both sides by 9, We'll get
9 hours = 6.5 × 9 miles
9 hours = 58.5 miles
Can someone answer this
Answers
Answer:
Step-by-step explanation:
x 6 a
8 48 c
-4 b 20
Let the unknown numbers of the multiplication grid are a, b and c.
1). 6 × 8 = 48
2). (-4)×6 = b
b = -24
3). (-4) × a = 20
a = -5
4). 8 × a = c
8 × (-5) = c
c = -40
Therefore, missing in the given multiplication grid are,
x 6 -5
8 48 -40
-4 -24 20
What is the slope-intercept form of the equation 6x-3y=18
Answers
Answer:
Step-by-step explanation:
Saying "put an equation into slope-intercept form" is another way of saying, "solve this equation for y". Not 6y or -3y...just plain old ordinary positive y. In order to begin that process, we need to first isolate the term that has the y in it. We do that by subtracting 6x from both sides to get
-3y = -6x + 18
Now, again, we are not solving for -3y, just y. We do that by dividing both sides by -3 to get
[tex]y=\frac{-6x}{-3}+\frac{18}{-3}[/tex]
Simplifying that gives us
y = 2x - 6
Two clinical trials were designed to test the effectiveness of laser treatment for acne. Seaton et al. (2003) randomly divided participants into two groups. One group received the laser treatment, whereas the other group received a sham treatment. Orringer et al. (2004) used an alternative design in which laser treatment was applied to one side of the face, randomly chosen, and the sham treatment was applied to the other side. The number of facial lesions was the response variable.
Orringer et al. used _______________ in a ___________ design.
Seaton et al. used a completely _____________design.
Answers
Answer:
Blocking in a paired design
Completed randomized design
Step-by-step explanation:
Orringer et. al used blocking in a paired design. He use the special type of randomized block design; a matched pair design wherein there is just two treatment conditions (laser treatment and the sham treatment) and the subjects are then group the subjects in pairs using the blocking variable which is a treatment applied to one side of face randomly chosen.
While Seaton et. al. used a completely randomized design. Here the subjects/participants are just merely assigned albeit randomly to either the laser or the sham treatment.
When a basketball player makes a trip to the free throw line, he takes two consecutive shots. It is often wondered
whether these two shots are independent or dependent: does the probability of making the second free throw depend
on whether a player makes the first free throw?
After analyzing data for Lebron James, statisticians determined that his first and second free throws are entirely
independent events. The frequency table below shows the data that analysts used to determine this independence.
Answers
Answer:
144364812Step-by-step explanation:
Since the shots are independent, they have the same ratio across the row and down the column as the totals have. Ratios in the same row are 3:1; ratios in the same column are 4:1.
(1st shot, 2nd shot) = (makes, makes) = 144
= (makes, misses) = 180-144 = 36
= (misses, makes) = 192-144 = 48
= (misses, misses) = 60-48 = 12
1.5 * 10 exponent -5 covert to decimal form
Answers
Answer:
The decimal form of [tex]1.5\times 10^{-5}[/tex] is [tex]0.000015[/tex].
Step-by-step explanation:
We need to convert [tex]1.5\times 10^{-5}[/tex] into decimal form. It is given in the standard form. The following steps are to be done to convert it into decimal form.
[tex]1.5\times 10^{-5}\\\\=\dfrac{15}{10}\times 10^{-5}\\\\=15\times 10^{-5}\times 10^{-1}\\\\\=15\times 10^{-5-1}\\\\=15\times 10^{-6}\\\\=\dfrac{15}{1000000}\\\\=0.000015[/tex]
So, the decimal form of [tex]1.5\times 10^{-5}[/tex] is [tex]0.000015[/tex]. Hence, this is the required solution.
In which figure is point G an orthocenter? Triangle A B C is a right triangle. Lines are drawn from each point to the opposite side and intersect at point G. Triangle F D E is shown. Lines are drawn from each point to the opposite side and intersect at point G. The lines cut each side into 2 equal parts. Triangle L M N is shown. Lines are drawn from each point to the opposite side and intersect at point G. Each angle has a different measure. Triangle H J K is shown. Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G
Answers
Answer:
ΔHJK; Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G
Step-by-step explanation:
The orthocenter is the point of intersection of altitudes. Each altitude is orthogonal to the corresponding base, so the use of "ortho-" can help you remember.
The appropriate choice is ...
ΔHJK shown: Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G.
Answer:
in short terms its D. i got it right
Step-by-step explanation: