Answer:
In an isosceles triangle, 2 of the angles are identical
Sum of the 3 angles of a triangle is always 180
Possibility 1 - 50 is one of the 2 identical angles
The 3 angles will be 50, 50, (180-50-50)
Possibility 2 - 50 is not one of the 2 identical angles
The 3 angles will be 50, (180-50)/2, (180-50)/2
You can work out the above and see which answer is not the possible angle
Please let me know if you have further questions.
Answer:
D
Step-by-step explanation:
In an isosceles triangle two angles are equal to each other, single two sides are congruent. Since the sides of a triangle add up to 180, we can figure out possible answers. This means it could either be
50, 50 and 80
Or 50, 65, 65
Which means the impossible measure would be D 130.
Order from least to greatest
1/8, 11/12, 9/8
Answer:
Step-by-step explanation:
First make the denominators the same.
Take the LCM of (8, 12 , 8) = 24
So,
[tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]
[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]
That is,
[tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]
The expression 4x* represents 144
Answer:
x=36
Step-by-step explanation:
because 4x36=144
Answer:
4x = 144
4 • 36 = 144
The answer to the equation is 36
Can i get some help hear
Answer:
Step-by-step explanation:
Since this is a assignment, I'll give a hint.
To find the area of a trapezoid, it'ls h(b1*b2)/2.
The height is how long the trapezoid is from each base.
The bases are the lines parralel to each other.
Find the volume of this cylinder.
Round to the nearest tenth.
16cm
4 cm
[?] cm3
The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².
What is the volume of a right circular cylinder?The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.
Suppose that the radius of the considered right circular cylinder is 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The volume of the given cylinder is,
Volume of the cylinder = (π/4) × (4cm)² × 16cm
= 201.062 cm²
Hence, the volume of the given cylinder is 201.062 cm².
Learn more about the Volume of the Cylinder:
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A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)
Answer:
The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]
Step-by-step explanation:
Exponential model of population growth:
An exponential model for population growth has the following model:
[tex]n(t) = n(0)(1+r)^t[/tex]
In which n(0) is the initial value and r is the growth rate, as a decimal.
Observed to double every 5 hours.
This means that [tex]n(5) = 2n(0)[/tex]
We use this to find 1 + r. So
[tex]n(t) = n(0)(1+r)^t[/tex]
[tex]2n(0) = n(0)(1+r)^5[/tex]
[tex](1+r)^5 = 2[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.1487[/tex]
So
[tex]n(t) = n(0)(1+r)^t[/tex]
[tex]n(t) = n(0)(1.1487)^t[/tex]
Initially has 45 bacteria
This means that [tex]n(0) = 45[/tex]. So
[tex]n(t) = n(0)(1.1487)^t[/tex]
[tex]n(t) = 46(1.1487)^t[/tex]
The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Answer:
carretilla
Step-by-step explanation:
la carretilla se encontraba a unos 18 metros de altura
A newly electric vehicle is designed to have a battery range of 400 miles and a standard deviation of 20 miles. assume the battery range distribution is normally distributed. the company tests 39 vehicles to determine if the battery is operating at specifications. the average range of the 39 vehicles is 398 vehicles with a standard deviation of 20 miles. find the 95% confidence interval for average battery range of the newly produced vehicle.
a) (393.72 , 406.28)
b) (391.52, 404.48
c) (393.52, 406.48)
d) (391.72, 404.28)
Answer:
b) (391.52, 404.48)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 39 - 1 = 38
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0244
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.
The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.
The CI is (391.52, 404.58), and the correct answer is given by option B.
Find the equation of the line that contains the points (-4,3) and (4,3).
Answer:
yes
Step-by-step explanation:
what type of information is used to obtain information on how scores are spread from the center of a distribution
Answer:
You need variability
Step-by-step explanation:
Variability measures the degree to which the scores are spread out or clustered together in a distribution.
Hope this helps:)
Which symbol correctly compares the two angles? pi 3 \ 60^
Answer: =
Step-by-step explanation: just took the test
We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.
Which symbol correctly compares the two angles?
Here we have two angles, one in degrees and the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.
The angles are:
pi/3 rads
60°
First, remember that:
pi rads = 180°
1 rad = (180°/pi)
With this, we can change the units of the first angle to get:
pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°
So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.
pi/3 rads = 60°
If you want to learn more about angles, you can read:
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y =-x^2+6x-5
Explain how you can find the x-intercept
and show the work to find them
Step-by-step explanation:
y = -x²+6x-5
x-intercept => y= 0
-x²+6x-5=0
x²-6x+5=0
(x-5) (x-1) =0
x= 5 or x=1
(1, 0) and (5, 0)
The probability that a plant produces two or more seeds is 0.20. A sample of five plants is observed. What is the probability that at least three plants produce two or more seeds?
The probability that at least three plants produce two or more seeds is 0.793915.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
The probability that out of n trials, there be x successes is given by
Use binomial distribution, with p =0.20, n=5, x=3
[tex]P(X=x)=C(n,x)p^x (1-p)^{n-x}[/tex]
P(X> = 3)
[tex]=1-(P(X=0)+P(X=1)+P(X= 5 ))\\=1-(C(20,0)0.2^0 (0.8)^{20-0}+C(20,1)0.2^1 (0.8)^{20-1}+C(20,2)0.2^2 (0.8)^{20-2})[/tex]
=1-(0.0115292+0.057646+0.136909)
=1-0.206085
=0.793915
Hence, the probability that at least three plants produce two or more seeds is 0.793915.
Learn more about binomial distribution here:
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Soo I need you guys help
Ummmmmm ok hold on let me see
Answer:
Josh made 40 free throws.
Step-by-step explanation:
5/7=0.71428571428
0.71428571428*56 = 39.99
so Josh made 40 free throws.
Have a nice day! :-)
Look at this net for a rectangular prism.
What is the surface area of the solid created by the net? Show your work.
the second part of the question EXPLAIN YOUR THINKING PLZ HELP
The length of the rectangular face is 15 cm, and there are 4 rectangular faces in the rectangular prism. If the length of the rectangular faces in the prism was tripled to 45 cm, what would happen to the size of the 2 rectangular bases of the prism? Explain your thinking.
Answer:
Step-by-step explanation:
the surface area = area of the 4 faces+ area of the 2 bases
4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²
if the length of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.
What is the GCF of xy3 and x3y?
Answer:
xy
Step-by-step explanation:
xy³ and x³y
GCF is xy
Answer:
I think it's xy
Step-by-step explanation:
just find the prime factors of each term
A line passes through (-3,-2) and is perpendicular to 3x - 2y = 7.
What is the equation of the line in slope-intercept form?
Answer:
y=-2/3x
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so first rearrange the given equation to find the gradient. y=3/2x-7/2
the gradient of the new line will be m=-2/3 then use the point (-3,-2) to find the equation of the line
y=mx+b
-2=(-2/3)(-3)+b
-2=2+b
b=0
y=-2/3x
The distribution of student scores on the quantitative section of the SATs have an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points. If you randomly select one student who has taken the SAT, what is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs
Answer:
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean score of 501 points, and a standard deviation of 85 points.
This means that [tex]\mu = 501, \sigma = 85[/tex]
What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?
This is 1 subtracted by the p-value of Z when X = 600. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{600 - 501}{85}[/tex]
[tex]Z = 1.165[/tex]
[tex]Z = 1.165[/tex] has a p-value of 0.878.
1 - 0.878 = 0.122
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
what is the value of the function when X equals four? on a coordinate plane.
Solution :
From the given graph the x-intercept is 2 and y-intercept is -1 .
So, equation of line in intercept form is :
[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]
[tex]y = \dfrac{x-2}{2}[/tex]
Now, putting x = 4 in above equation, we get :
[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]
Therefore, the value of function at x =4 is 1 .
P(C)= 0.02. What is the complement of P(C)?
Answer:
P'(C) = 0.98
Step-by-step explanation:
Given that,
P(C) = 0.02 (The probability of getting C)
We need to find the complement of P(C) i.e. P'(C).
We know that,
P(C)+P'(C)=1
P'(C) = 1-P(C)
= 1-0.02
= 0.98
So, the complement of P(C) is equal to 0.98.
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 81st percentile.
Answer:
[tex]P(81)=56.16[/tex]
Step-by-step explanation:
From the question we are told that:
Mean [tex]\mu=50[/tex]
Standard Deviation [tex]\sigma=7[/tex]
Percentile 81st
Generally Probability of 81st Percentile
[tex]P(Z<x)=81\%[/tex]
Using Standard normal Table
[tex]P(Z<0.88)=81\%[/tex]
Therefore the 81st percentile is given as
[tex]P(81)=z*\sigma *\mu[/tex]
[tex]P(81)=0.88*7*50[/tex]
[tex]P(81)=56.16[/tex]
Verne has 5 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny
Answer: 96
Step-by-step explanation:
Given
Verne has 5 math books to line up on a shelf
Jenny has 4 english books to line up on a shelf
No of ways Verne can arrange the books are [tex]5![/tex]
No of ways Jenny can arrange the books are [tex]4![/tex]
Difference between them
[tex]=5!-4!\\=120-24\\=96[/tex]
Thus, Verne can line up 96 more orders than Jenny
One hundred students were surveyed and asked if they participate in band and if they play a sport. The table below summarizes their responses.
Of students that do NOT play a sport, what is the relative frequency of those who participate in band?
Answer:
22/30
Step-by-step explanation:
22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.
So, 22/30
Answer:22/30
Step-by-step explanation:
Of 60 randomly chosen students from a school surveyed,16 chose aquarium as their favorite fiel trip.There are 720 students in the school.predict the number of student in the school who chose aquarium
Answer:
192 students
Step-by-step explanation:
60 randomly students surveyed
16 chose aquarium as their favorite field trip.
720 students in total.
[tex]\frac{16}{60}[/tex] = [tex]\frac{?}{720}[/tex] =
720 × 16 ÷ 60 =
192 students
Solve for x: 4/x - x/8 = 0
Answer:
[tex]x = \sqrt{32}[/tex]
Step-by-step explanation:
[tex]\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}[/tex]
A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the rectangle becomes 35.28 cm2. Calculate the length of the longer of the two sides of the initial rectangle.
Answer: [tex]5.7\ cm[/tex]
Step-by-step explanation:
Given
Rectangle has an area of [tex]19.38\ cm^2[/tex]
Suppose rectangle length and width are [tex]l[/tex] and [tex]w[/tex]
If each side is increased by [tex]1.50\ cm[/tex]
Area becomes [tex]A_2=35.28\ cm^2[/tex]
We can write
[tex]\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)[/tex]
Substitute the value of width from (ii) in equation (i)
[tex]\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7[/tex]
Width corresponding to these lengths
[tex]w=5.7,\ 3.4[/tex]
Therfore, we can write the length of the longer side is [tex]5.7\ cm[/tex]
HELP ASAP!! Will get fully ratedddd !!!!!!!!
Answer:
13. 4 sqrt(3)
14. sqrt(7)/2
Step-by-step explanation:
13. sqrt(2) * sqrt(3) * sqrt(8)
We know sqrt(a) * sqrt(b) = sqrt(ab)
sqrt(48)
Look for perfect squares
sqrt(16*3)
sqrt(16) sqrt(3)
4 sqrt(3)
14. sqrt(14)/ 2 sqrt(2)
We know sqrt(a) / sqrt(b) = sqrt(a/b)
sqrt(14/2) / 2
sqrt(7)/2
Hence, the Answer is
13. 4 sqrt(3)
14. sqrt(7)/2
Solution:
13. sqrt(2) * sqrt(3) * sqrt(8)
We know sqrt(a) * sqrt(b) = sqrt(ab)
sqrt(48)
Look for perfect squares
sqrt(16*3)
sqrt(16) sqrt(3)
4 sqrt(3)
14. sqrt(14)/ 2 sqrt(2)
We know sqrt(a) / sqrt(b) = sqrt(a/b)
sqrt(14/2) / 2
sqrt(7)/2
Round your answer to the nearest hundredth.
pls help :((
Answer:
Angle B = 29.74
Step-by-step explanation:
Tan(x)=opp/adj
Tan(x)=4/7
x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]
x=29.74
Beth wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp
Answer: 16590
Step-by-step explanation:
Let p be the population proportion of high school students in the area who attend their home basketball games.
As per given,
prior p = 0.5
Margin of error E= 0.01
Criticfor z-value for 99% confidence = 2.576
Sample size will be computed as
[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]
Hence, required sample size = 16590
Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...
a = 8, r = 2
a = 8, r = 8
a = 8, r = 4
a = 32, r= 1
Step-by-step explanation:
hope it helps you see the attachment for further information
What is the fractional equivalent of the repeating decimal n=0.2727…?
Answer: 3/11 would be the answer