Answer:
x = 15
Step-by-step explanation:
If ABC similar to EDC then we can use the similarity ratio to find the value of x
32/(3x-5) = 56/(5x-5) cross multiply the fractions
160x - 160 = 168x - 280 export like terms to the same side of the equation
280 - 160 = 168x - 160x
120 = 8x divide both sides by 8
15 = x
For the population of all college students currently taking a statistics course, you want to estimate the proportion who are women. You obtain a simple random sample of statistics students at Broward College in Florida. Is the resulting sample proportion a good estimator of the population proportion of all college statistics students
Answer:
No
Step-by-step explanation:
To estimate population proportion from a sample, we must ensure that the sample data is random. Though a simple random sample of college students from a particular college was used as the sample data. However, selection of the college should have been randomized as well, a stratified random sample would have been a better sampling method whereby certain colleges are selected based on region or other criteria and then a random sample of it's statistics students selected. The sample proportion Obtian from a sample of this nature will be more representative of the population proportion of all college statistic student.
Find the sum of the angle measure of a hexagon
Answer:
120°
Shape Sides Each Angle
Hexagon 6 120°
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
G is the same as the other one so it's also 129. Their angle relationship are verticle angles.
someone please help me answer this!1
Answer:
b = 30 yd is the answer.
Step-by-step explanation:
a = 40 yd
b = ?
c = 50 yd
According to the Pythagoras theorem,
a² + b² = c²
40² + b² = 50²
1600 + b² = 2500
b² = 2500 - 1600
b² = 900
b = 30 yd
∴ b = 30 yd is the length of the missing leg.
Find the slope of the line that passes through (0,-2) and (4,-3)
A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 313 voters respond positively, we will conclude that at least 60% of the voters favor the use of these fuels.
Required:
a. Find the probability of type I error if exactly 60% of the voters favor the use of these fuels.
b. What is the type II error probability β if 75% of the voters favor this action?
Answer:
[tex]\alpha=0.11767[/tex]
[tex]\beta=0[/tex]
Step-by-step explanation:
From the question we are told that:
Population size size [tex]N=500[/tex]
Sample mean [tex]n=313[/tex]
Null hypothesis [tex]H_0:P=0.6[/tex]
Alternative hypothesis[tex]H_a:P>0.6[/tex]
Generally the equation for for P value is mathematically given by
[tex]P=\frac{n}{N}[/tex]
[tex]P=\frac{313}{500}[/tex]
[tex]P=0.6[/tex]
Generally the mean [tex]\=x[/tex] is mathematically given by
[tex]\=x=np\\\=x=500*0.6[/tex][tex]\=x=300[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.6*(1-0.6)}[/tex]
[tex]\sigma=10.95[/tex]
a)
Generally the probability of Type_I error [tex]P(X>313)[/tex] is mathematically given as
[tex]P(X>313)=P(\frac{x-\mu}{\sigma}>\frac{313-300}{10.95} )[/tex]
[tex]P(X>313)=P(z>1.187 )[/tex]
Therefore using z table
[tex]\alpha=0.11767[/tex]
b)
Null hypothesis [tex]H_0:P=0.75[/tex]
Alternative hypothesis[tex]H_a:P>0.75[/tex]
Generally the probability of Type_II error [tex]P(X<313)[/tex] is mathematically given as
[tex]P=0.75,n=500\\q=1-0.75\\q=0.25[/tex]
Generally the mean [tex]\=x'[/tex] is mathematically given by
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=375[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.75*(1-0.75)}[/tex]
[tex]\sigma=9.68[/tex]
Therefore
[tex]P(X<313)=P(\frac{x-\mu}{\sigma}<\frac{313-375}{9.68} )[/tex]
[tex]P(X<313)=P(z<-6.405)[/tex]
Therefore from standard normal table
[tex]P(X<313)=0[/tex]
[tex]\beta=0[/tex]
Which expression will complete step 3 in the proof? sin2(x) 2sin(x) 2sin(x)cos(x) sin(x)cos(x) + sin(x)
Answer:
It's D
Step-by-step explanation:
Edge 2021
The complete step 3 in the proof is 2sin(x) {1+ cos(x)}.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given expression:
sin2(x) + 2sin(x)
This is the first step.
And the second step is given,
2sin(x)cos(x) + 2sin(x)
And to find the third step:
Simplify,
Factor out the common factor,
2sin(x) {1+ cos(x)}.
Therefore, the required step is 2sin(x) {1+ cos(x)}.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
14. Which of the following is not a true statement about the scatter plot above?
A. The association of the scatter plot is positive.
B. The association of the scatter plot is linear.
C. For every additional day of a trip, the weight of a suitcase increases 5 pounds.
D. For every 5 additional days of a trip, the weight of a suitcase increases one pound.
Answer:
Step-by-step explanation:
Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?
Answer:2
Step-by-step explanation:
What is the area of the trapezoid? The diagram is not drawn to scale.
9 cm
4 cm
5 cm
O14 cm2
O 20 cm2
O 38 cm2
O 56 cm2
Answer:
56sq. cm
Step-by-step explanation:
Area of a trapezoid = 1/2(a+b)h
a and b are the parallel sides
h is the height of the trapezoid
Find the f=diagram attached. from the diagram
a = 9cm
b = 5 + 9 + 5 = 19cm
h = 4cm
Substitute
Area of the trapezoid = 1/2 * (9+19)*4
Area of the trapezoid = 1/2 * 28 * 4
Area of the trapezoid = 28 * 2
Area of the trapezoid = 56sq. cm
Pablo and his classmates are collecting aluminum cans to be recycled the box plot shows the data for the number of cans collected by each student
Answer:
A. The median of the data values is 16.
Step-by-step explanation:
Answer:
A - 16
Step-by-step explanation:
A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?
Answer:
Ihe answer is 845 times
Step-by-step explanation:
Express as a trinomial.
(x + 4)(x - 1)
Answer:
x^2+3x−4
Step-by-step explanation:
Find the distance between (1, 2) and (5,5).
Answer:
The distance is 5 units
Step-by-step explanation:
Use the distance formula to find the distance.
a trailer that can be attached to the back of the truck also has a volume of 180 cubic feet. what could be the possible dimension of the trailer
Answer:
5x6x6
Step-by-step explanation:
5x6x6=180
3x3x20=180
4x5x9=180
[tex]\sqrt[3]{180}[/tex]=5.65
Mrs. Cole has a bag containing white and yellow marbles. Mrs. Cole randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below. White Marble - 41 times Yellow Marble - 24 times Based on these results, what is the probability that the next marble Mrs. Cole selects, rounded to the nearest percent, will be white?
answer choices
40%
50%
59%
63%
quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK
A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)
PLS ANSWER IT QUCK PLS PLS PLS PLS PLS
Answer:
87 !
Step-by-step explanation:
Find the mode of the data set. 46, 44, 49, 54, 51, 50, 47, 41, 47, 51, 51, 40, 53, 50, 52, 53
Answer:
51
Step-by-step explanation:
To find the mode of a data set, you must order the data set from least to greatest and find out which number appears the most. For example, I ordered the data set in this example, and found the out that 51 appeared the most.
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
What are the answer I don’t need the process
Step-by-step explanation:
Don't you need a key for what K equals to solve this?
what is an expression that IS NOT greater than 1/4
Answer:
1/5, 1/6, 1/7 is expressions not greater than 1/4
Step-by-step explanation:
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
400
Step-by-step explanation:
someone please help me answer this!!
Answer:
8 mm
Step-by-step explanation:
Answer attached....
Hope it helps :)
Answer:
a = 8mm is the answer
Step-by-step explanation:
a = ?
b = 6mm
c = 10mm
By using the Pythagoras theorem,
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = 8
∴ a = 8mm is the length of the missing leg
Find the area of the shaded region.
Answer:
48 yd²
Step-by-step explanation:
The shaded region is a trapezoid
Area of shaded region = area of the trapezoid
Area of trapezoid = ½(a + b)h
a = 6 yd
b = 10 yd
h = 15 - 9 = 6 yd
Area of trapezoid = ½(6 + 10)6
= ½(16)6
= 48 yd²
Area of the shaded region = 48 yd²
Maya read 3535 pages in \frac{4}{5}
5
4
of an hour. If she continues reading at the same rate, how many pages will she read in an hour?
Question for the Poster: Can I get brainliest,Thanks.Please type your questions with correct spelling so you can get your question answered to the best of everyone's ability
Answer:Maya reads 43 and 3/4 or 43.75 pages in 1 hour(or 44 pages per hour)
Please can someone find X! Please!
Evaluate the six trigonometric functions of the angle 0?
Step-by-step explanation:
In the above right Angled triangle , we have ,
perpendicular = 12base = 9hypontenuse = ?For finding hypontenuse use Pythagoras Theorem , we have ,
⇒ h² = p² + b²
⇒ h² = 9² + 12²
⇒ h² = 81 + 144
⇒ h² = 225
⇒ h = √225
⇒ h = ± 15
⇒ h = 15 [ Neglect -ve value ]
Therefore ,
cosθ = b/h = 9/15sinθ = p/h = 12/15tanθ = p/b = 12/9cosecθ = h/p = 15/12 secθ = h/b = 15/9 cotθ = b/p = 9/12it's this one!!!!_;$;;#+$;
Answer:
12 Units
A total of 12 units have been traveled.
Please help me I need help
Answer:
The first one would be the top answer.
He can play less than 5 minutes before he loses a life.
Step-by-step explanation: