Answer:
f(3) = 23
Step-by-step explanation:
When is it better to use Synthetic division and when is it better to use long division?
Answer:
Step-by-step explanation:
Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1.
What you can do with synthetic division you can do with regular long division .But not the opposite
In ΔQRS, q = 890 cm, s = 810 cm and ∠S=120°. Find all possible values of ∠Q, to the nearest degree.
Answer: no possible triangles
Step-by-step explanation:
Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
Answer:
am i suppoesd to do number 7 as well?
Step-by-step explanation:
Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
look at picture
The height of the balloon above the ground is 554 ft.
I have attached a diagram where i have divided the triangle shown into 2.From the attached image, the third angle in triangle 1 would be;
180 - (90 + 85) = 5°
The supplementary angle in triangle 2 to 85° in triangle 1 is;
180 - 85 = 95°(because supplementary angles add up to 180)
The third angle of triangle 2 is; 180 - (95 + 75) = 10°
If we label the shared slant side between the two triangles as z, the we can use sine rule to find z from triangle 2;100/sin10 = z/sin 75
z = 100(sin 75)/(sin 10)
Applying trigonometric ratio to triangle 1, we can find h as;h/z = sin 85
h = z sin 85
h = [100(sin 75)/(sin 10)] × sin 85
h ≈ 554 ft
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Find the expected value of the
random variable with the
following probability distribution:
0
1
2
3
4
5
6
7
8
P
.03
.15
.27
.20
.13
.10
.07
.03
.02
Answer:
3.1
Step-by-step explanation:
In order to solve for this expected value, you need to do:
(0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)
Meaning that it is:
0+.15+.54+.6+.52+.5+.42+.21+.16
Which equals to: 3.1
Also: Feel free to correct my answer by any means, I feel like I got some parts wrong.
Answer:
The answer is, 3.1
Step-by-step explanation:
Definition of probability distribution:A probability distribution is a statistical function that describes all of the potential values and probabilities for a random variable within a particular range.
To find this predicted value, you must do the following:[tex](0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)[/tex]
That is to say, it is:
[tex]0+.15+.54+.6+.52+.5+.42+.21+.16[/tex]
3.1 is the value of the random variable.
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a. What is the lateral area?
b. The formula to find the
surface area of this solid
figure is
c. The surface area is
yd2
Answer:
b. po
Step-by-step explanation:
that have been the most part I don't know y avg be yyyy I have a panda but the black on it and I have a panda but the black on
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm. Suppose that 12 individuals are randomly chosen. Round all answers to 4 where possible. What is the distribution of ¯ x
Answer:
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.
This means that [tex]\mu = 187, \sigma = 7.1[/tex]
Suppose that 12 individuals are randomly chosen.
This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]
What is the distribution of ¯ x?
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Find the measure of the exterior 21.
45°
Ο Α. 10"
Β. 125°
C. 80'
D. 100°
Answer:
D. 100
Step-by-step explanation:
what is the measure of m
9514 1404 393
Answer:
m = 8
n = 4√3
Step-by-step explanation:
The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.
(12+4)/m = m/4
64 = m² . . . . multiply by 4m
8 = m . . . . . . square root
__
Likewise, the ratio of long side to short side is the same.
12/n = n/4
48 = n² . . . . . . multiply by 4n
4√3 = n . . . . . take the square root
_____
Additional comment
You may have noticed that the ratios of side lengths are ...
4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle
This means the unmarked side is 8√3.
__
We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.
jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years
Answer:
9927.5$
Step-by-step explanation:
4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.
Carol is making a pattern with toothpicks. The first five terms of Carol's pattern are shown.
Which expression can be used to find the number of toothpicks in Term n?
A. n +1
B. n +2
C. nt3
Ο Ο
D. 3n
E. 3n + 1
Answer:
B
Step-by-step explanation:
Let's make a table:
Term 1: 3 toothpicks
Term 2: 4 toothpicks
Term 3: 5 toothpicks
Term 4: 6 toothpicks
Term 5: 7 toothpicks
Term N = N + 2 toothpicks
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 163 people in the first group and this group will be administered the new drug. There are 160 people in the second group and this group wil be administered a placebo. After one year, 13% of the first group has a second episode and 14% of the second group has a second episode. Select a 90% confidence interval for the difference in true proportion of the two groups.
a) [0.00590, 0.0251].
b) [0.00690, 0.0551].
c) [0.0890, 0.0551].
d) [0.00690, 0.0351].
e) [0.00890, 0.0651].
Answer:
90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
First group: Sample of 163, 13% has a second episode.
This means that:
[tex]p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026[/tex]
Second group: Sample of 160, 14% has a second episode
This means that:
[tex]p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027[/tex]
Distribution of the difference:
[tex]p = p_1 - p_2 = 0.13 - 0.14 = -0.01[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Lower bound:
[tex]p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717[/tex]
Upper bound:
[tex]p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517[/tex]
90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).
In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?
Step-by-step explanation:
sin(p) = opposite / hypontenuse = 45 / 53
Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?
The total interest on the loan will be $457,412,82892.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.
We can find the total interest on loan, using the formula -
I = {P(1 + APR/100)^t − P}
The principal amount of loan = $220,000
Compound APR = 3.82%
Time = 30 years
Using the formula, we get -
220,000[1 + 0.0382]^30−220,000
220000{[1 + 0.0382]^30 - 1}
$457,412,82892
Therefore, the total interest on the loan will be $457,412,82892.
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Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true
Answer:
2
Step-by-step explanation:
4(3+2) = 6(2)+4(2)
4(5) = 12 + 8
20=20
Answer:
2
Step-by-step explanation:
4(3+2)=20
6(2)+4(2)
12+8=20
so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches
sin 0 =(8)/(9), tan 0 >0
find sec 0
Answer:
[tex]\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0[/tex]
And we want to find sec(θ).
First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.
Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:
[tex]a=\sqrt{9^2-8^2}=\sqrt{17}[/tex]
So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.
Secant is the ratio of the hypotenuse to the adjacent. Hence:
[tex]\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}[/tex]
Again, since θ is in QI, all trig ratios are positive.
Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the first quartile?
Plzz help ASAP
Answer:
49.2
Step-by-step explanation:
Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?
Answer:
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.
Answer:
-1
Step-by-step explanation:
first put the equation in slop int form:
y= x-6
to find the slope of a line that is perpendicular take the negative reciprical of the slope
so the answer is
-x
PLS ANSWER RN
Pierre is making a mural. He wants to cut a piece of tile to fit in between two others. He knows that one angle has to be 46°. What must m
A. 23
B. 24
C. 67
D. 134
Question 2 Solve the problem below using a graphing calculator. Estimate o points
your answer to four decimal places
X^2= 4/x + ln(x)
A 1.5874
B 1.4596
C. 1.7241
D. 1.6985
A rectangular prism has a top face of 12 square feet and a height of 4 feet. What is the volume of this rectangular prism
Answer
i think it is 48.
Step-by-step explanation:
Robin has a rectangular picture frame that is 8 1/2 by 11 inches. What is the
approximate perimeter of the picture frame in centimeters?
Answer: 99.06cm
Step-by-step explanation:
Note that 1 inch = 2.54cm
Therefore, we'll convert the sides of the frame in inches to cm. This will be:
8 1/2 inch = 8.5 × 2.54cm = 21.59cm
11inches = 11 × 2.54cm = 27.94cm
Therefore, the perimeter of a rectangle will be:
= 2(length + width)
= 2(27.94 + 21.59)
= 2(49.53)
= 99.06cm
For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged
What’s the inequality of N<-1
Answer:
ℎℎ ℎ
Step-by-step explanation:
ℎℎℎℎ ℎ ℎ
PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
Which of the following is the best estimate for -21/4 •7.89 + 13/3 ÷ (-4.17)
-17
-4
3
5
−
7
<
−
1
2 i really need help plz
Answer:
I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.
Step-by-step explanation:
I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.
(Tell me the question if this is incorrect. Thanks!!!)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
what is 7,548,392 rounded to 100
Answer:
7,548,400
Step-by-step explanation:
LUVP is an example of: