Answer:
75%
Step-by-step explanation:
24/32 * 100%
75%
A right triangle (90) has a one angle that measures 35 degrees. What is the measure of the third angle?
A. 90 degrees
B. 145 degrees
C. 55 degrees
D. 180 degrees
Answer:
55°
Step-by-step explanation:
triangle= 180°
third angle= 180-90-35
= 55°
Bill Board is "lording" his SAT score over his friend, Rhoda Dendron, who took the ACT. "You only got a 25 in math," he chortled, "while I got a 300 in math." Given that the SAT has a μ of 500 and a σ of 100, and the ACT has a μ of 20 and a σ of 5, what is wrong with Bill’s logic (give the answer in both z scores and percentile ranks).
Answer:
Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score) on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.
Step-by-step explanation:
Z-score:
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.
Bill:
Scored 300, so [tex]X = 300[/tex]
SAT has a μ of 500 and a σ of 100.
His z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 500}{100}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.02.
This means that Bill, whose SAT score has Z = -2, scored in the 2nd percentile.
Rhoda
Scored 25, so [tex]X = 25[/tex].
ACT has a μ of 20 and a σ of 5
Her z-score:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 20}{5}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84
This means that Rhoda, whose ACT score has Z = 1, scored in the 84th percentile.
What is wrong with Bill’s logic ?
Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score) on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.
Simplify (4a to the fifth power b to the sixth power) to the fourth power
Answer:
(4a^5b^6)^4 = 256a^20b^24
Step-by-step explanation:
Change into decimal: 35%
Answer:
[tex]0.35[/tex]
Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over 100 Percentage means 'out of 100 '.
[tex]\frac{35}{100}[/tex]
Cancel the common factor of 35 and 100 .
[tex]\frac{7}{20}[/tex]
Convert the fraction to a decimal by dividing the numerator by the denominator.
[tex]0.35[/tex]
Answer:
0.35
Step-by-step explanation:
ywhdhxjahsjxhdjwjwjwjw is .35
Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). These data are also available for download at the online study center.
X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1
Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0
X 15.4 16.2 15.0 17.2 16.0 17.0 14.4
Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3
Required:
a. Draw a scatter diagram displaying the data.
b. Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.
c. Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.
Answer:
a) attached below
b) X - bar = 16.65
Y - bar = 80.04
y = 25.26 + 3.29 ( X )
c) attached in diagram below
Step-by-step explanation:
n = 15
∑ x = 20.0 + 16.0 + 19.8 + 18.4 + 17.1 + 15.5 + 14.7 + 17.1 + 15.4 + 16.2 + 15.0 + 17.2 + 16.0 + 17.0 + 14.4 = 249.8
∑ y = 88.6 + 71.6 + 93.3 + 84.3 + 80.6 + 75.2 + 69.7 + 82.0 + 69.4 + 83.3 + 79.6 + 82.6 + 80.6 + 83.5 + 76.3 = 1200.6
∑ xy = ( 20 * 88.6 ) + ( 16 *71.6 ) + ( 19.8 * 93.3 ) + ( 18.4 * 84.3 ) + ( 17.1 * 80.6 ) + (15.5 * 75.2 ) + ( 14.7 * 69.7 ) + ( 17.1 * 82.0 ) + ( 15.4 * 69.4 ) + ( 16.2 * 83.3 ) + ( 15 *79.6 ) + ( 17.2 * 82.6 ) + ( 16 * 80.6 ) + ( 17 * 83.5 ) + ( 14.4 * 76.3 )
= 20127.47
∑x^2 = 20.0^2 + 16^2 + 19.8^2 + 18.4^2 + 17.1^2 + 15.5^2 + 14.7^2 + 17.1^2 + 15.4^2 + 16.2^2 + 15.0^2 + 17.2^2 + 16.0^2 + 17.0^2 + 14.4^2
= 4200.56
∑ y^2 = 88.6^2 + 71.6^2 + 93.3^2 + 84.3^2 + 80.6^2 + 75.2^2 + 69.7^2 + 82.0 ^2 + 69.4^2 + 83.3^2 + 79.6^2 + 82.6^2 + 80.6^2 + 83.5^2 + 76.3^2
= 96725.86
a) Scatter diagram showing given data
Attached below
B)
X - bar = ∑x / n = 249.8 / 15 = 16.65
Y - bar = ∑y / n = 1200.6 / 15 = 80.04
where: Y = Temperature and X = Chirps per seconds
b = [ n ∑ xy - ( ∑x ∑y ) ] / [ n∑x^2 - ( ∑x )^2 ]
= [ 15 * 20127.47 - ( 249.8 * 1200.6 )] / [15* 4200.56 - ( 249.8 )^2 ]
= 2002.17 / 608.36 = 3.29
a = Y-bar - b( X-bar )
= 80.04 - 3.29( 16.65) = 25.26
equation for least squares line
y = 25.26 + 3.29 ( X )
C) Graph the least squares line on scattered diagram
attached below
A photograph measures 3 inches tall and 5 inches wide. Becky wants a larger print of the photograph that is 25 inches wide. How many inches tall should the larger print be if it is to be in proportion to the smaller photograph?
Answer:
15 inches tall
Step-by-step explanation:
every 3 inches increased, the width increases by 5.
leo le debe 15.00 pesos. Si su madre le da 60.00 pesos de paga y se gasta 20.00 con sus amigos
¿cuanto dinero le queda?
¿tendrá pendiente alguna deuda?
Answer:
Le quedan 25 pesos
No tendrá pendiente ninguna deuda
Step-by-step explanation:
60-15-20=25
Suppose the probability a resistor at a manufacturing company is defective (the probability of success) is 0.02. What is the probability a manager chooses a defective resistor on the third grab from the line?
0
0.00039
0.019
1
Step-by-step explanation:
,8x.,edn bu3d,ysw ,h3db,h7db3u,ftni9,4nz8ienzj8z 83 J83s z9j2s 0/$.plex9?wzok)#(?
Answer:
what is that I don't understand
Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 14/27 = 21/28 = 14/27
b. 14/18 = 21/27 = 7/9
c. 14/21 = 18/27 = 2/3
d. 27/14 = 28/21 = 27/14
Please select the best answer from the choices provided
Answer:
B. 14/18 = 21/27 = 7/9
Step-by-step explanation:
I calculated it logically
What’s the area of this rectangle
Answer:
49/5 mm
Step-by-step explanation:
7/2×14/5
multiply the numerator and denominator
98/10
simplify
49/5 or
9 4/5 mm
PLS HELP EMERGENCY!!!
Answer:
[tex]P(t) = 29816591(1.025)^{t-5}[/tex]
Step-by-step explanation:
Equation:
The equation for the population of California, in t years after 1990, is given by:
[tex]P(t) = 29816591(1.025)^t[/tex]
In which 29816591 is the initial population, that is, the population in 1990.
From 1995:
First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.
So
[tex]P(5) = 29816591(1.025)^5 = 33734736[/tex]
So
Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So
[tex]P(t) = 29816591(1.025)^{t-5}[/tex]
which comprison is correct?
a. 3/2 < 1/3
b. 3/8 > 1/6
c. 11/6 < 3/4
d. 3/5 = 5/8
Answer:
The second one
Step-by-step explanation:
USE THE BUTTERFLY TECHINQUE
3/8 O 1/6
18 3/8 O 1/6 8
18 > 8
3/8 > 1/6
Answer:
B is correct
3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes
Kyle is studying migration patterns of birds. Specifically, he is comparing the distance travelled by geese and the distance travelled by pelicans in a year. Do geese travel significantly more distance than pelicans do?
Geese Pelicans
M = 191 miles M = 190 miles
n = 61 n = 61
s = 1.429 s = 1.355
Required:
a. State the null and alternative hypotheses in words.
b. Locate the critical value that defines the critical region.
c. Calculate your statistic.
d. Make a decision with respect to the null.
e. Write a concluding statement in everyday language.
Answer:
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 > 0
Test statistic = 3.96
Critical value = 1.67
Reject H0
We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans
Step-by-step explanation:
M= xbar1 = 191 ; M = xbar2 = 190 miles
n1 = 61 n2 = 61
s = 1.429 ; s2 = 1.355
Hypothesis :
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 > 0
Test statistic :
(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]
(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]
1 ÷ √[(0.0334760) + (0.0300987)]
1 ÷ √0.0635747
1 ÷ 0.2521402
= 3.966
Degree of freedom :
df = n - 1
df = 61 - 1 = 60
Critical value :
Tcritical at 0.05%, df = 60
Tcritical = 1.67
Decision region:
Reject H0 if Tstatistic > Tcritical
Since ;
3.96 > 1.67 ; We reject H0
We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans
What is the constant of proportionality for the table below?
х
10
8
4
2
y
25
20
10
5
Ο Α. 5
B. 215
O C. 2.5
O D. 25
Which choice below could represent the distance jake walked?
Answer:
50 yard South, 40 yard east 60 yard northwest
please help lolz ty besties
Tina wrote 2 equivalent expressions that could be used to calculate the number of books on her shelves. Which pair of expressions is equivalent?
4+(9+8) and 4−(9−8)
3(9+8) and 9(3+8)
(4×9)×8 and 9×(4×8)
(5+4)+1 and 5(4+1)
Answer:b
Step-by-step explanation:
Not D
Answer:
(4×9)×8 and 9×(4×8)
Step-by-step explanation:
The number of gallons of water left in a swimming pool at time t minutes can be modeled by w(1) = -7t+B50. Find the y-intercept and explain what it represents in this situation.
Answer:
I'm not really sure
Step-by-step explanation:
soooooooory
Which is the equation of the axis of symmetry
Answer:
Step-by-step explanation:
It would be X=2 because axis of symmetry is the line passing through X=2.
Simplify the expression. Write your answer as a power.
(3.8^3)^4
The simplified expression is
Helppp please and thank you !
Answer:
209 (Sorry if wrong)
Step-by-step explanation:
12x12=144
13x5=65
144+65=209
==================================================
How to get that answer:
We have a 12 by 12 square of area 12*12 = 144 square meters.
Then on top of this we have a triangle with base 12 and height 5, so its area is base*height/2 = 12*5/2 = 60/2 = 30 square meters
Overall, the two areas combine to 144+30 = 174 square meters
---------
Side notes:
The missing side of the triangle can be found through the pythagorean theorem. You could use the trapezoid area formula as an alternative path, instead of finding the area of each smaller piece.We can condense the unit "square meters" into "sq m" or "m^2".PLEASE HELP!!! CALCULUS ASSIGNMENT
Answer:
(d) [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0[/tex]Simplify: [tex]\displaystyle y' = 4(3x^3) - 3(5x^2) + 2[/tex]Multiply: [tex]\displaystyle y' = 12x^3 - 15x^2 + 2[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
( d ) 12x³ - 15x² + 2
Step-by-step explanation:
y = 3x⁴ - 5x³ + 2x - 1
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]
multiply 4 × 3.[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]
Multiply 3 × -5[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]
subtract the exponentsy = 12x³ - 15x² + 2⁰
For any term t except 0, t⁰ = 1.y = 12x³ - 15x² + 2 × 1
y = 12x³ - 15x² + 2
Hence, option ( d ) is the correct answer.
26 months 7 days from 51 months.
Answer:
Uhhh get it i guess
Step-by-step explanation:
Answer: Well 7 days = 1 week, also 26 months = 2.16667 year or 790.834 days. I DON'T GET IT
Step-by-step explanation:
Jade says that 8÷ 1/2 means the same thing as 1/2 of 8, so the answer is 4 do you agree
Answer:
no
Step-by-step explanation:
8÷ 1/2
Copy dot flip
8 * 2/1 = 16
Divide 8 things in half you get 16
1/2 of 8 = 1/2 * 8 = 4
Half of 8 things is 4
They are not the same
Answer:
8 ÷ 1/2 = 16
I disagree.
Step-by-step explanation:
8 ÷ 1/2
8 × 2/1
8 × 2
16
Which statement is false?
A. Negative numbers are always less than positive numbers.
B. The sum of two negative numbers is always negative.
O C. The difference between two negative numbers is sometimes positive.
D. The product of two negative numbers is always negative.
E. The quotient of two negative numbers is always positive.
Answer:
So, the option (D) is the answer.
Step-by-step explanation:
A. The negative numbers are always less than positive numbers.
It is true.
For example, - 2 < + 2
B. The sum of two negative numbers is always negative.
It is true.
For example, - 3 + (- 3) = - 6
C. The difference between two negative numbers is sometimes positive.
It is true.
For example, (- 3) - (-4) = 1
D. The product of two negative numbers is always negative.
It is false.
For example, (-3)(-3) = 9
E. The quotient of two negative numbers is always positive.
It is true.
For example, (-3)/(-1) = 3
Find the exact value
Sin(300-45)
Answer:
sin ( 300 - 45 )
Step-by-step explanation:
sin (300 - 45 )
= - 0. 965
= - 0. 97
Victoria took a test and got 80% of the questions right. She answered 20 questions correctly. How many questions were on the test?
Answer:
25 questions :D
Step-by-step explanation:
Please help I will give brainliest!!!!!
Answer:
Step-by-step explanation:
[tex]sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\cos\theta=\frac{\sqrt{2}}{2}[/tex]
we'll took the negative solucion of sin because sin is negative in IV cuadrant
[tex]sin\theta=-\sqrt{1-(\frac{\sqrt{2}}{2})^2}=-\frac{1}{\sqrt{2}}=-\frac{\sqrt{2}}{2}[/tex]
[tex]tan\theta=\frac{\sin\theta}{\cos\theta}[/tex] => [tex]tan\theta=-1[/tex]
so, the right option is the last one
You are trying to figure out how many license plates can be created from the digits 0 through 9. The license plate has 6 numbers, and none can be repeated. How many license plates can be created?
Answer:
1
Step-by-step explanation:
if the marked price of a gift item is Rs .300 and sold it for Rs.210. find the discount percent .
Answer:
original price - new price
300- 210=90
discount/ original price ×%
90/300×100
=30%
The discount percent is 30%