Answer:
x = 42
Step-by-step explanation:
Let the length of the indicated side be represented as "x".
The Theorem of proportionality can be extended and applied to find the indicated side.
Thus, based on the theorem, it is assumed that the parallel lines divides the transversals proportionally.
This implies that:
x/(77 - x) = 30/25
x/(77 - x) = 6/5
Cross multiply
x(5) = 6(77 - x)
5x = 462 - 6x
Add 6x to both sides
5x + 6x = 462
11x = 462
x = 462/11
x = 42
A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.5 mm and a standard deviation of 2.5 mm. What percent of the butterflies had the following wingspans? A. Less than 48.9 mm B. Between 49 and 55
Answer:
A. 7.5%
B. 68.26%
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 of 52.5 mm and a standard deviation of 2.5 mm.
This means that [tex]\mu = 52.5, \sigma = 2.5[/tex]
A. Less than 48.9 mm
The proportion is the pvalue of Z when X = 48.9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48.9 - 52.5}{2.5}[/tex]
[tex]Z = -1.44[/tex]
[tex]Z = -1.44[/tex] has a pvalue of 0.075
0.075*100% = 7.5%, which is the answer.
B. Between 49 and 55
The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So
X = 55
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 52.5}{2.5}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 49
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 52.5}{2.5}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826*100% = 68.26%, which is the answer.
The percent of the butterflies had the given wingspans are;
A) 7.5%
B) 76.64%
We are given;
Population mean; μ = 52.5 mm
Population standard deviation; σ = 2.5 mm
Formula for z-score is;
z = (x' - μ)/σ
A) For less than 48.9 mm,P(X' < 48.9);
z = (48.9 - 52.5)/2.5
z = -1.44
From online p-value from z-score calculator, we have;
P(X' < 48.9) = 0.075 or 7.5%
B) For x' between 49 and 55, P(49 < X < 55)
At x' = 49;
z = (49 - 52.5)/2.5
z = -1.4
Z-score at x' = 55;
z = (55 - 52.5)/2.5
z = 1
From online p-value from z-score calculator, the p-value between the two z-scores is;
p = 0.7664 or 76.64%
Read more about z-scores at; https://brainly.com/question/6316394
Find the value of x for the right triangle.
45°
х
10
Answer:
14.14
Step-by-step explanation:
sin(45)=10/x. <--fraction
then solve for x you should get this
x=10/sin(45)
and that should equal
14.14213562
pls help! one week you spent $24 on 6 metro tickets and 4 bus tickets. the next week you spent $27 on 3 metro tickets and 7 bus tickets. how much would it cost to buy 5 metro tickets and 2 bus tickets?
Answer:
I will use x for # of subway tickets, and y for # of express bus tickets.
24 = 6x + 4y
27 = 3x + 7y
x = 2
y = 3
16 = 10 + 6
Answer is 16
Muhammad spent $45 buying three pizzas and two orders of wings for his roommates. Each pizza cost twice as much as the wings +1 dollar what does one order of wings cost?
WILL GIVE BRAINLIST
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?
Answer:
y = 3/2x + 3/2
Step-by-step explanation:
perpendicular to: y = -2/3x + 5
so slope of new line must be 3/2
y = mx + b
3 = 1(3/2) + b
6/2 = 3/2 + b
b = 3/2
Solve equation
r/3-4=11
r = 45
r = 35
r = 33
r = 28
Answer:
r=-11
Step-by-step explanation:
how can you tell two objects are similar when all you did is make the the object smaller by a scaled factor?
if good answer... will give brainly and also 5 stars and everything
Answer:
You can tell if they are similar if all the angles correspond and the sides are all scaled down by the same factor. For instance, a triangle with sides of 30, 40, and 50 scaled down by a factor of 2 would have sides of 15, 20, and 25.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
5. Carlotta's Beauty Supply store sells two brands of bar soap. A 6 pack of Brand A costs
$6.78 and an 8 pack of Brand B costs $8.40. What brand is the better buy?
Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Hey did you find the answer to it yet ? Because I’m having a hard time as well
Use the following image to multiply.
5/8 of 4 =
Answer:
2.5
Step-by-step explanation:
Answer:
[tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{5}{8}*4\\ \\ =\frac{5}{8}*\frac{4}{1} \\ \\ =\frac{5*4}{8*1} \\ \\ =\frac{20}{8} \\ \\ =\frac{5}{2} \\ \\ =2\frac{1}{2} or 2.5[/tex]
HELP ASAP oooooooooooooooooooooooooo
Answer:
The answer is b Maria will run 1.75 miles more than her goal.
Step-by-step explanation:
For this you take the total number of miles divided by miles per day. 17.5 divided by 2.75 is approximately six slightly over. That remaining time is less than 1 day so she can’t do 2.75 over her goal and the other options talk about going under so that leaves us with option two.
Hope this helps.
(NO LINKS) A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
1) 7.22 ft in a hr & 2) Choice C. y = 0.50x + 2
Step-by-step explanation:
1) Space shuttle
2.6 x 10,000 = 26,000ft
3.6 x 1,000 = 3,600 seconds = 1 hr
26,000/3,600 = 7.22 ft in a hr
2) Taxi company
y = 0.50x + 2
Julie runs 3 miles each morning. How far does she run in feet?
(1 mile = 5,280 feet)
Answer:
15,840 feet
Step-by-step explanation:
5,280*3 = 15840
Since she runs 3 miles each morning, and 1 mile is 5,280,
then you multiply 5,280*3
A study9 compared personality characteristics between adult children of alcoholics and a control group matched on age and gender. For the 29 pairs of women, the authors reported a mean of 24.8 on the well-being measure for the children of alcoholics, and a mean of 29.0 for the control group. They reported t = 2.67 for the test comparing the means. Assuming that this is the result of a dependent-samples analysis, identify the df for the t test statistic, report the P-value, and interpret.
Answer:
df.= 28
P - value = 0.0124 < 0.05
There is a difference between the mean of the well-being measure for the children of alcoholics, and a mean of the control group.
Step-by-step explanation:
As the given test is dependent or paired test the degrees of freedom is n-1 = 20-1 = 28
The reported t = 2.67
The P value for ∝= 0.05 at calculated t= 2.67 and 28 d.f is 0.0124 which is less than 0.05 .
The null hypothesis is rejected.
The null hypothesis is that there is no difference between the means of the two samples.
H0: u1 = u2
The alternate hypotheis is accepted that there is difference between the means of the two samples.
Ha: u1≠ u2
There is a difference between the mean of the well-being measure for the children of alcoholics, and a mean of the control group.
kimtoya travels from New York to Florida by airplane. She pays a total of $402 for her flight. This includes a base price of $285 for the ticket plus a fee for each of her 3 pieces of checked baggage. To figure out how much the fee per bag is, she adds $402 to $285 and then divides this total by 3 to get $173. Is Kimtoya correct? Include all necessary work to support your answer.
Answer:
402
+285
687÷3=229
Step-by-step explanation:
so nah she's not right
What is the measure of ABC
Answer:
63
Step-by-step explanation:
angle abc =half of arc DE + half of arc AC
Use the formula d=r*t to solve this problem.
Marisol and Mee Young are taking Spain’s AVE train from Madrid to meet up with Marisol’s mother, who is in Seville, which is 336 miles away. If it took them 1.8 hours, how fast were they traveling?
a.
210ph
c.
605 mph
b.
350mph
d.
186 mph
Answer:
D-186
Step-by-step explanation:
I hate edge
Answer:
D-186
Step-by-step explanation:
Got it right
girlcome 5324611502
p:here
Answer:
what
Step-by-step explanation:
Answer:
im confused
Step-by-step explanation:
Create a table of values that could represent the function f(x) = 3x + 4. Justify your response.
F(x)=3/2 x2-4+C
I looked it up
What’s the correct answer for this question?
Answer:
$16 is correct answer
Hope it helps you
Carlo rode his bicycle from his house to his friend Kevin's house. From there, he rode to a video game
store. Then he rode 3.2 kilometers from the video game store back to his house. The arrows in the grid
show the path Carlo traveled. How many kilometers did Carlo ride his bike? Round your answer to the
nearest tenth of a kilometer.
12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
Carlo's House (0,0)
Answer:
The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.
Step-by-step explanation:
Answer:
13.7
Step-by-step explanation:
help please triangles and trig
Given:
A figure of a right angle.
To find:
The value of x.
Solution:
We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.
If the altitude "h", divides the hypotenuse in two segments "a" and "b", then
[tex]h=\sqrt{ab}[/tex]
In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.
Using the above theorem, we get
[tex]x=\sqrt{3\times 24}[/tex]
[tex]x=\sqrt{72}[/tex]
[tex]x=6\sqrt{2}[/tex]
Therefore, the required solutions for the given blanks are:
Blank 1: 72
Blank 2: 6
Blank 3: 2
is 0.70 equal to 7/10
yes the fraction of .70 is 7/10
Answer:
Yes
Step-by-step explanation:
0.70 = 7/10
HELP ASAP PLEASE
What’s the answer
Answer:
Step-by-step explanation:
function 2
Which expression is equivalent to 5 (4x+3)-2
To simplify an expression means to write it in the simplest way possible. Ideally, there would be no parentheses and everything has been 'expanded'.
Solving the QuestionWe're given:
[tex]5 (4x+3)-2[/tex][tex]5 (4x+3)-2[/tex]
Open up the parentheses by multiplying each term by 5:
[tex]=5*4x+5*3-2\\=20x+15-2\\=20x+13[/tex]
Answer[tex]20x+13[/tex]
In Ivy’s neighborhood, 40% of the homes have a swimming pool. If there are 80 homes in the neighborhood, then how many have a swimming pool?
Answer:
32 homes
Step-by-step explanation:
To get the amount of homes with a pool, simply do
HOMES * 0.40
So 80x0.4 = 32 homes with a pool
Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
Number of year = 50 year
Step-by-step explanation:
Given:
Amount deposit in account = $500
Rate of interest = 6 % = 0.06 (Simple interest)
Future amount = $2,000
Find:
Number of year
Computation:
A = P + I
2,000 = 500 + I
Amount of interest I = $1,500
I = PRT
1,500 = 500 x 0.06 x Number of year
1,500 = 30 x Number of year
Number of year = 1,500/30
Number of year = 50 year
Write an equation of the line below.
Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{4}{5} x[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1 }{x_2-x_1}[/tex] and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:
[tex]m = \frac{4-0}{5-0} \\m = \frac{4}{5}[/tex]
So, the slope is [tex]\frac{4}{5}[/tex].
2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.
3) Now, write the equation of the line in slope-intercept form using the [tex]y = mx + b[/tex] format. The number in place of [tex]m[/tex] represents the slope, so substitute [tex]\frac{4}{5}[/tex] in its place. The number in place of [tex]b[/tex] represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:
[tex]y =\frac{4}{5} x+0\\y = \frac{4}{5} x[/tex]
Answer:
y=4/5x
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
In this problem, the slope is 4/5 because m=rise/run.
Question 11 of 49
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75 ?
A. 75
B. 105
C. 90°
ОО
D. 180°
Answer:
[tex]B = 105[/tex]
Step-by-step explanation:
Given
[tex]A = 75[/tex]
Required
Find B
If A and B are consecutive interior angles, then
[tex]A + B = 180[/tex]
Substutute 75 for A
[tex]75 + B = 180[/tex]
[tex]-75+75 + B = 180 - 75[/tex]
[tex]B = 105[/tex]
q is a degree 5 polynomial that passes through the origin, has zeros i and 3 - i, and q( - 2) = - 520. Find
the equation for g.
User for your input. Simplify your answer so that it has only real numbers as coefficients.