Answer:
144
Step-by-step explanation:
if cathy myra and eva all take 2.0 h to walk from their house to their school at a rate of 1.0 m/s how far is their school from the house
What is the answer to this question
Answer:
49
Step-by-step explanation:
because, A right angle has an angle of 90° degree
so, 41+49
= 90
hence, proved.
if it helps don't forget to like and mark me
Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $224.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answer:
slope- (261)
Step-by-step explanation:
Please help me with this!! I don’t understand it at all (trigonometry)
Hi there!
[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]
[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]
Begin by recalling that:
sin(θ) = O/H, so:
Opposite side = 3√5
Hypotenuse = 7
We can solve for the adjacent sign using the Pythagorean Theorem:
7² = (3√5)² + b²
49 = 45 + b²
b² = 4
b = 2.
Thus, cosθ = 2/ 7
Use the half angle identity to solve for cos(θ/2):
cos(θ/2) = √(1 + cosθ)
Plug in the value of cosθ:
= √(1 + 2/7) = √9/7, or 3 /√7
Thus:
[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]
Calculate tan(θ/2) using the same process but with a different formula:
tan(θ/2) = √(1 - cosθ / 1 + cosθ)
Substitute in the value of cosθ:
tan(θ/2) = √(1 - 2/7)/(1 + 2/7)
= √(5/7)/(9/7) = √5/9 = √5/3
Please help meee I need help
Answer:
5
6
Step-by-step explanation:
To solve, collect like terms
x ≥ 2 + 21/2
x ≥ 4 1/2
the whole number that would be greater than 41/2 would be 5
2. 2.7 + 3.3 > x
6 > x
In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525
Answer:
0.0475
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In a large company, the proportion of employees who were promoted during the last year was 0.10.
This means that [tex]p = 0.1[/tex]
100 employees
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]
What is the probability that at least 15 of them were promoted during the last year?
This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475.
0.0475 is the answer.
The choices below contain the lengths of sides of four separate triangles. Which of the choices
is NOT a right triangle?
a. 12, 16, 20
b. 15, 36, 39
C. 20, 24, 26
d. 30, 40, 50
Answer:
C
Step-by-step explanation:
Option c (20, 24, 26) doesn't follow the Pythagoras triplet, it is a not right-angle.
What is the right triangle?The right-angle triangle is a triangle in which the measure of two sides of a triangle is smaller than the longest side of the triangle.
To find the right angle triangle it should satisfy the Pythagoras theorem
a. 12, 16, 20
[tex]12^{2} +16^{2} = 144 + 256[/tex]
= 400
[tex]20^{2}[/tex] = 400
Since it follows the Pythagoras triplet, it is a right-angle triangle.
b. 15, 36, 39
[tex]15^{2} +36^{2} \\= 1521[/tex]
[tex]39^{2} =1521[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
c. 20, 24, 26
[tex]20^{2} + 24^{2} \\= 976[/tex]
[tex]26^{2} = 676[/tex]
Since it does not follow the Pythagoras triplet, it is a not right-angle triangle.
d. 30, 40, 50
[tex]30^{2} +40^{2} \\= 2500\\50^{2} = 2500[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
Hence, option c doesn't follow the Pythagoras triplet, it is a not right-angle.
Learn more about the right triangle:
https://brainly.com/question/4364353
HELP With this question
Answer:
Step-by-step explanation:
sin 60=CB/18
[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]
If the domain of f(n) = -4n - 3 is (-1, 1/4, 4), what is the range?
{-1, 2, -19)
{-7.-4.-13)
{1, -4, -19)
Help with this :))))))))))))
Answer:
24
Step-by-step explanation:
120/6=20
300/15=20
360/18=20
480/20=24
Check:
480/24=20
Answer: 20???
Step-by-step explanation:
The 12 girls on the dance team want to raise $300.00 to buy practice shoes. They have already raised $137.52. If each girl raises the same amount, how much more money must each student raise?
A. $13.54
B. $25.00
C. $11.46
D. $36.46
Which equation(s) represents a nonproportional relationship? Select all that apply
y=3x
y=3x-2
y= x+1
y= -4x
help me please Graph y = - l x-4 l
Answer:
y= -41
Slope= -1
Step-by-step explanation:
On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)
What is the area???
Answer:
0.833333333 or 83/100 mi squared
Step-by-step explanation:
a = b x h / 2
Answer:
0.333
Step-by-step explanation:
P(A)=0.45, P(A∩B)=0.15 and P(B\A)=0.25 what is the value of P(A\B)
0.45
0.25
0.35
None of the above
Answer:
0.35? That is correct?
2(3b-1)=40
Simplify.
Answer:b=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3b−1)=40
(2)(3b)+(2)(−1)=40(Distribute)
6b+−2=40
6b−2=40
Step 2: Add 2 to both sides.
6b−2+2=40+2
6b=42
Step 3: Divide both sides by 6.
6b/6=42/6
b=7
Please help!
The distance between two tall buildings is 480ft. While standing on the roof of the shorter building, an inquisitive geometry student measures the angle of descent to the base of the taller building to be 48 degrees. She also measures the angle of elevation to the top of the taller building to be 25degrees. How tall is the shorter building? How tall is the taller building?
Answer:
450ft
Step-by-step explanation:
In the picture
I NEED A REAL ANSWER PLEASE!
Find a polynomial that had a leading coefficient of 4 and has the given degree and zeros.
Degree 3 with 2, 1/2, and 3/2 as zeros
[tex] ?x^{3} + {?}x^{2} + ?x + ?[/tex]
Answer:
4x^3-6x^2-6x+9
Step-by-step explanation:
I would write out the solutions as expressions and expand them:
(x-2)(x-1/2)(x-3/2)
(x^2-1/2x-2x+1)(x-3/2)
(x^2-5/2x+1)(x-3/2)
x^3-(3/2)x^2-(5/2)x+15/4+x-3/2
x^3-(3/2)x^2-(3/2)x+9/4
Next, since the leading coefficient has to be 4x^3, I could just multiply the entire expression by 4:
4x^3-(12/2)x^2-(12/2)x+36/4
4x^3-6x^2-6x+9
Hopefully, this was helpful! Comment below if you would like me to explain further!
Somebody please help me!!!
PLEASE HELPPP THIS TWOOO
Answer:
learning task 3.4
1) p-3
2) (8÷d)+6
3) 11-(9×4)
4) 4÷2
5) (10+6)÷4
Use <, >, or = to compare the following decimals.
(a) 6.37 |?| 2.68
(b) 0.1 |?| 0.04
(0) 7.7 |?| 7.70
Answer:
A is >
B is >
C is =
I hope this helps you.
show work , I’ll vote you brainliest if it is correct . Thank you
Answer:
Whats the question to this problem? Do you want to know if it's correct?
i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!
Step-by-step explanation:
Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!
Which equation best matches the graph shown to the right?
Answer:
y=1x+20
Step-by-step explanation:
character requirement
my final balance after 48 months was $869. If I originally put $800 into the bank what was the interest rate
Answer: 1.4375 percent
Step-by-step explanation:
69/48 = 1.4375 percent.
(if its incorrect I'm sorry)
Write an expression using an exponent to represent the following: Adnan Start with one coin. the number of coins doubles every day. How many coins will he have on day 8?
Answer: 128
Step-by-step explanation:
day 1: 1
day 2: 2
day 3: 4
day 4: 8
day 5: 16
day 6: 32
day 7: 64
day 8: 128
ALSO.
you can solve it by doing 2 to the power of 8
2^8 is the expression
Bob asked each of 40 friends how many minutes they took to get to work.
The table shows some information about his results.
Frequency
3
8
Time taken (m minutes)
0
10
20
30
40
11
9
9
Work out an estimate for the mean time taken.
A bicycle is $240 and the sales tax is 9%. How much money is the tax?
Answer:
$21.60
Step-by-step explanation:
240 x .09 = 21.60
Explain why the t-distribution has less spread as the number of degrees of freedom increases. Choose the correct answer below. A. The t-distribution has less spread as the degrees of freedom increase because the variability introduced into the t-statistic becomes greater as n increases. B. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to by the law of large numbers. C. The t-distribution has less spread as the degrees of freedom increase because, as n increases, less information is known about by the law of large numbers. D. The t-distribution has less spread as the degrees of freedom increase because, for large values of n, n30, the t-distribution and the normal distribution are the same.
Answer:
B. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to sigma by the law of large numbers.
Step-by-step explanation:
The sample standard deviation, s gets considerably closer to the population standard deviation, σ, this trend follows the proposition of the law of large numbers whereby the mean or average value changes as the sample size, n increases. According to the law of large numbers, as the sample size increases, the sample mean gets continously closer to the population mean, sample standard deviation follows this same trend and thus variability or spread decreases as sample size increases.
The plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n increases, s becomes closer to by the law of large numbers. (Option B)
Note the following:
Based on the theorem of large number, the population mean and sample mean will get closer as the sample size increases.By implication, the sample standard deviation, s, and the population standard deviation, σ becomes closer too, thus, the spread will reduce as the sample size increases.Therefore, the plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n increases, s becomes closer to by the law of large numbers. (Option B)
Learn more here:
https://brainly.com/question/18457726
Help! I dont know units well..
calcula el área de la siguiente figura
Answer:
272.5 m²
Step-by-step explanation:
1/2x4x9=18
(9+18)/2=13.5. 13.5x11=148.5
(18+14)/2=16. 16x7=112
12+148.5+112= 272.5