Answer:
Step-by-step explanation:
PX is 15 which is the radius
Find the circumference of the circle and subtract the length of the minor arc
Circumference of circle = 2 * pi * r = 2 * pi * 15 = 30 pi
length of arc = angle/360 * 2 * pi * r = 23/360 * 2 * pi * 15 = 1.92 pi
subtraction will give 30 pi - 1.92 pi = 28.08 pi
28.08 * 22/7 = 88.25 which is approximately 88
Solve the problem 5x+(x+6)+3x
what how am I solving do I simplify
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
A. x - 4
D. x + 8
Step-by-step explanation:
To find the two binomial that are factors of the trinomial, you split the middle term into two:
[tex]x^2[/tex] + 4x - 32
[tex]x^2[/tex] - 4x + 8x - 32
Group:
([tex]x^2[/tex] - 4x) (8x - 32)
Take out GCF (Greatest Common Factor):
x(x - 4) 8(x - 4)
(x + 8) (x - 4)
The difference between twice the product of a and b and the quotient of these
numbers.
Pls hurry
Answer:
DIFFERENCE – The difference of two numbers is the result of subtracting these two numbers. PRODUCT – The product of two or more numbers is the result of multiplying these numbers. QUOTIENT – The quotient of two numbers is the result of the division of these numbers.
Step-by-step explanation:
Answer:
2(a*b)-a/b
Step-by-step explanation:
So, read the problem and anlyze it.
To simplify what it says: The difference (subtraction), of twice the product(multiplacation) , and quotient of a & b.
So:
2(a*b)- a/b
Keep in mind that, they are not asking for twice of a/b. Only tice of the multiplacation part. They are asking the difference between both!
Find the value of each unknown variable in the given figures ?
10) a. 130
Step-by-step explanation:
[tex]180 - 50 = 130[/tex]
Determine the range of the following function {(-1,4)(0,6)(7,8)(2,-5)}
A) {-1,4,0,6}
B) {-1,0,7,8}
C) {4,6,8,-5}
D) {7,8,2,-5}
Answer:
C
Step-by-step explanation:
The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!
Answer:
The answer is C
Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.
Please open the image and help me
1.
Looks like
[tex]y=2\sqrt[3]{x}+\dfrac1{x^2}+\pi[/tex]
Write [tex]\sqrt[3]{x}[/tex] as a fractional power, [tex]x^{1/3}[/tex]. This makes it more obvious that the power rule should be used here.
[tex]y'=(2x^{1/3})'+(x^{-2})'+\pi'[/tex]
[tex]y'=\dfrac23x^{-2/3}-2x^{-3}[/tex]
[tex]y'=\dfrac2{3\sqrt[3]{x^2}}-\dfrac2{x^3}[/tex]
2.
[tex]y=(\sin(2x)+\tan(3x))^e[/tex]
Power and chain rule:
[tex]y'=\left((\sin(2x)+\tan(3x))^e\right)'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\sin(2x)+\tan(3x))'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\cos(2x)(2x)'+\sec^2(3x)(3x)')[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(2\cos(2x)+3\sec^2(3x))[/tex]
The cost for a pack of 9 padlock is $25.20 find the unit price in dollars per padlock if necessary round your answer to the nearest cent.
Answer:
2.80
Step-by-step explanation:
Take the cost and divide by the number of padlocks
25.20/9
2.80
Each padlock costs 2.80
Answer:
$2.80
Step-by-step explanation:
25.20 is the total price, and there are 9 padlocks, so to get the price of each padlock, divide 25.20 by 9
25.20/9=2.8
write your answer in dollars: $2.80
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 52 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 52
Answer:
34% of lightbulb replacement requests numbering between 47 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 52
Standard deviation = 5
Between 47 and 52:
52 is the mean and 47 is one standard deviation below the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.
Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).
So
34% of lightbulb replacement requests numbering between 47 and 52
what is 5/8 - 4/7 but simplified? i dont know how to do it
Answer:3/56
Step-by-step explanation:
5/8-4/7
(35-32)/56
3/56
23. A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
It is appropriate to conclude which of the following?
A) The startup company has strong evidence that their AAA batteries last longer, on average.
B) The startup company has moderate evidence that their AAA batteries last longer, on average.
C) The startup company has proved that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.
Answer:
Option B
Step-by-step explanation:
Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12.3
For the alternative hypothesis,
µ > 12.3
This is a right tailed test.
The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.
Let us assume a significance level of 0.05.
Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.
The correct option would be
A) The startup company has strong evidence that their AAA batteries last longer, on average.
What Value if n makes the equation true
1/2(n + 4)=6
N=8
1/2 x (8+4) = 6
1/2 x 12 = 6
In a Monopoly market, a firm is a price maker since there are no close substitutes to the product. You are asked to find the company's Proft-Maximization point. Fixed Costs remains at $1,000.00. Calculate the revenue, profit (any), and costs on the graph,
Complete the solution of the equation. Find the
value of y when x equals o.
6% - 2y = 14
Enter the correct answer
OOD
BONE
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
j
Step-by-step explanation:
Answer:
B, E, and F
Step-by-step explanation:
The other answer choices are questions you should ask after you have gotten the answer, not when you are trying to understand the problem.
Hope this helped! :)
Subtract: (3x2 - 8x + 3) - (-5x2 + 4x – 5)
Need help please no dumb answers I gotta turn it in in five min help a girl out please
Answer:
boo just search the formula dud
its A though
Can you send the integers worksheet question and answer for 6th grade
What is the value of sin(A)
Answer:
6/10
Step-by-step explanation:
Complete 8,9 for 5-8 points.
Step-by-step explanation:
8. Let's call the number x. We can set up the equation -3x - 5 = -10. Adding 5 to both sides, we have -3x = -5, and when we divide both sides by -3, we have x = 5/3.
9. Again, we'll call the number x. The equation is 2x - 3 = -13. We can write -3 instead of +(-3) because adding a negative number is the same as subtracting. Adding 3 to both sides, we have 2x = -10, and dividing bu -2, we have x = -5. Hope this helps!
Charles’s law states that if the pressure of a dry gas is held constant, then the volume V of the gas and its temperature T, measured in degrees Kelvin, satisfy the relationship V=cT, where c is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the volume and the rate of change, with respect to time t, of the temperature?
a) dV/dt = T dc/dt
b) dV/dt = c * dT/dt
c) dV/dT = c
d) 1 = c * dT/dV
Answer:
b) dV/dt = c * dT/dt
Step-by-step explanation:
Differentiating the equation with respect to time, you have ...
V = cT
dV/dt = c·dT/dt . . . . matches choice B
Which measurement is equal to 6 kilograms
Answer:13.2277
Step-by-step explanation:
Did it on iready
Answer:
6000
Step-by-step explanation:
What is the area, in square units, of a rectangle with a length of 3/7 and a width of 2/9?
Answer:24
Step-by-step explanation:
fdgwgwrgwg
Simplify 3 + 5(x - 4)
Answer:
5x - 17
Step-by-step explanation:
3 + 5x - 20
= 5x - 17
A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. Please show written work for question a to c below. a) Find critical value(s). b) "Find the Margin of Error" c) Find confidence interval for the problem.
Answer:
a) z = 2.327
b) The margin of error is of 0.065.
c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 300, \pi = \frac{112}{300} = 0.3733[/tex]
a) 98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]z = 2.327[/tex] is the critical value.
b)
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
So, applying to this question:
[tex]M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065[/tex]
The margin of error is of 0.065.
c) Find confidence interval for the problem.
[tex]\pi - M = 0.3733 - 0.065 = 0.3083[/tex]
[tex]\pi + M = 0.3733 + 0.065 = 0.4383[/tex]
The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
What would your life be if you were shrek?
Answer:
No more lonely time
Step-by-step explanation:
I have shriek to keep me company in bed;)
Answer:
- Something unpredictable -
Step-by-step explanation:
I would just scream all day about my appearance
What is the area of this parallelogram?
6 cm
2 cm
Answer:
12
Step-by-step explanation:
Area= base*height
Area= 6*2
Answer:
12cm
Step-by-step explanation:
hight & Base=6 cm & 2 cm
Formula for area: hight×base=6 cm×2 cm
12cm
convert the decimal 0.085to a percent
Answer:
8.5%
Step-by-step explanation:
Answer:
8.5%
Step-by-step explanation:
0.085
1: Ignore the 0 and take the numbers that is 85
2: Add a percent
3: Answer is 8.5%
Hope this helps.
Solve: 3(x - 6) = -12
Answer:
x=2
Step-by-step explanation:
3*2=6
6-6=0
-12
Compute 90, 91, 92, 93, 94, and 95. 90 = 1 91 = 9 92 = 81 93 = 729 94 = 6561 95 = 59049 Make a conjecture about the units digit of 9n, where n is a positive integer. If n is even, the units digit of 9n is 1 . If n is odd, the units digit of 9n is 9 . Use strong mathematical induction to prove your conjecture. Submit your proof as a free response. (Submit a file with a maximum size of 1 MB.)
Answer:
Step-by-step explanation:
First we compute [tex]9^n[/tex], for [tex]n = 0,1,2,3,4,5[/tex]
[tex]9^0=1,9^1=9,9^2=81,9^3=729,9^4=6561,9^5=59049[/tex]
We have the unit digit of [tex]9^n[/tex], is either 1 or 9
Therefore, the conjecture can be state as follows
Conjecture; the unit of digit of [tex]9^n[/tex], is 1, when n is even and 9 when n is odd
Let the property p(n) be the formula;
"The unit digit of [tex]9^n[/tex], is 1 when n is even and 9 when n is odd"↔ P(n)
To show p(n) is true , we will use strong mathematical inductive
Show tgat p(0) and p(1) are true
We have to show the unit digit of [tex]9^0[/tex] is 1 and [tex]9^1[/tex] is 9
Since any integer with zero power is one and hence
[tex]9^0=1[/tex] and [tex]9^1 = 9[/tex]
Therefore, p(0) and p(1) are true
Show that for al integer [tex]k\geq 1[/tex], if p(i) is true for all integer i from o through k, then p(k+1) is also true
let k be any integer with [tex]k \geq 1[/tex] and suppose that for all integer i with [tex]0 \leq i \leq \leq k[/tex]
the unit digit of [tex]9^i[/tex] is 1 when is even and 9 when n is odd
we must show that [tex]9^{k +1}[/tex] equals 1 when n is even and 9 when n is odd
Case I; (k +1 is odd)
in this case k is even and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 1 and hence there is some non negative integer q such that
[tex]9^k = 10q + 1[/tex]
now, [tex]9^{k+1}=9^k(9)[/tex]
= (10q + 1)9
= 90q + 9
= 10.9q + 9
Note that for any non negative integer q , 9q is also an integer and this implies the unit digit of [tex]9^{k+1}[/tex] is 9
Case II
(k +1 is even)
in this case k is odd and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 9 and hence there is some non negative integer q such that
[tex]9^k=10q+9[/tex]
Now,
[tex]9^{k+1}=9^k.9\\=(10q+9)9\\=90q+81\\=10(9q+8)+1[/tex]
Note that any non negative integer q, 9q + 8 is also an integer and this implies the unit of [tex]9^{k+1}[/tex] is 1
Since we have proved both the basis and the inductive step of the strong mathematical induction, we conclude that the given statement is true
An ice-cream factory makes 190 quarts of ice-cream in 10 hours how many quarts could be made on 12 hours what was that rate per day