Answers
Answer:
x=63
Step-by-step explanation:
Because we know that the total angle is a right angle (see the square in the top right of the problem), and 25 and x+2 constitute as the only two angles making up the total angle, we can say that 25 and x+2 are complementary, meaning they add up to 90 degrees. We can then write our equation as follows:
25 + (x+2) = 90
27+x=90
Subtract 27 from both sides
x=63
Related Questions
Suppose a jar contains 8 red marbles and 25 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.
Answers
Answer: [tex]\dfrac{7}{132}[/tex]
Step-by-step explanation:
Total marbles in the jar = 8+25 = 33
Using combinations, the number of ways of choosing two marbles out of 33= [tex]\dfrac{33!}{2!(33-2)!}\\\\=\dfrac{33!}{2\times31!}\\\\=\dfrac{33\times32}{2}=528[/tex] (total outcomes)
Similarly, the number of ways of choosing two red marbles =
[tex]\dfrac{8!}{2!6!}\\\\=\dfrac{8\times7}{2}=28[/tex](favorable outcomes)
Required probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
[tex]=\dfrac{28}{528}\\\\=\dfrac{7}{132}[/tex]
hence, required probability = [tex]\dfrac{7}{132}[/tex]
Alla and Balla together drink 750 milliliters (ml) of water. If Alla drinks 50% more than
Balla, how much does Alla drink?
Answers
Answer:
Step-by-step explanation:
A + B = 750
A = 1.5 B
~~~~~~~~~~~~~~
750-B = 1.5 B
750 = 1.5 B + B
750 = B(1.5 +1)
750 = B (2.5)
B = 300
A = 450
Find the measure of angle X. The horizontal lines are parallel. HINT: The sum
of all interior angles in a triangle is 180 degrees.
Answers
===========================================================
Explanation:
The angle adjacent and supplementary to the 107 degree angle is 73 degrees because 107+73 = 180.
Or you could say 180 - 107 = 73.
The base angles of the upper isosceles triangle are 73 degrees each, which means the third remaining angle (let's call it y for now) is
73+73+y = 180
146+y = 180
y = 180-146
y = 34
Refer to the diagram below. Notice how the 34 degree angle shows up twice because we have vertical angles. Consequently, the base angles of the bottom isosceles triangle are y = 34 degrees each
We can now solve for x
y+y+x = 180
34+34+x = 180
68+x = 180
x = 180-68
x = 112, so the answer is choice D
The football and soccer teams at Juan's middle school are selling movie tickets. He wants to determine the average
number of tickets sold at the school. First, he surveyed eight random players on the football team. Then, he surveyed
every third athlete on the football and soccer team. Which sampling technique should produce a more representative
sample?
The first sampling method, surveying eight random football players, is the most representative.
O Neither sample will be representative.
Both samples should be exactly the same.
The second sampling method, survey.ing the both teams, is the most representative.
Answers
Step-by-step explanation:
both samples should be exactly the same
At midday the temperature in Moscow was 7°C.
At midnight it was -3°C.
By how many degrees did the temperature fall?
Answers
Answer:
10 degrees C
Step-by-step explanation:
the difference between both temperatures is expressed by a subtraction
7 - -3 = 7 + 3 = 10
you could also do the subtraction the other way around :
-3 - 7 = -10
but the negative sign has no meaning for a distance between two points (a distance itself has no direction).
so, we are always using the absolute value of such difference calculations (when it is about lengths, distances, and so on, where the direction had no meaning).
and so, also the -10 is actually simply 10 for our problem here.
the temperature fell by 10 degrees.
Manu has soccer practice at the park at 5:20 P.M. It ends at 6:15 P.M.
How long is Manu's soccer practice?
Answers
Answer:
His practice is 55 minutes long
you can look at it this way
from 5:20pm to 6:pm, is only 40 minutes
then from 6:00pm to 6:15pm is only 15 minutes
40 + 15 = 55
Over what interval is the parabola below decreasing?
3<. x. <∞
−∞ <. x. <3
−1<. x. <∞
−∞ < x < −1
Answers
Answer:
B. -oo < x < 3
Step-by-step explanation:
since the vertex (3, -1), so, x should be less than 3
-oo < x < 3
your teacher plotted a set of cordinetes that contained a negative x and positive y Wich point graphed below could represent the point plotted
Answers
Answer:a
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
This set of coordinates does represent a point [tex]P(x,y)[/tex].
Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as
[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]
What is the probability that they both choose a card labeled dog?
Answers
Answer:
0.16
Step-by-step explanation:
As it is stated that the card having the label of a dog has a probability of 0.4. Hence, the probability that they both choose a card labeled dog is 0.16.
HELP I HAVE TO PASS!
What is the average rate of change for this quadratic function for the interval from x=0 to x=2?
A) -4
B) -2
C) 2
B) 4
Answers
Answer:
At X = 0 Y = 10
At X = 2 Y = 6
Rate of change = change in Y / change in X = -4 / 2 = -2 or B
Am I correct if not plz fix it ASAP I have 4 minutes left
Answers
Answer:
no not correct it should be horizontally left 2 units and vertically down 5 units
Let x be a real number such that x + (1/x) is an integer. Prove that (x^n) + 1/(x^n) is an integer for every positive integer n.
Answers
Answer:
sim eu também preciso desta respota
Derek sold her house for $541,600, which was 140% of the amount she paid for it.
Calculate the amount she paid for the property.
Answers
9514 1404 393
Answer:
$386,857.14
Step-by-step explanation:
You have ...
sold = 140% × paid
Dividing by 140% gives ...
paid = sold/1.40 = $541,500/1.40 = $386,857.14
Derek paid $386,857.14 for the property.
v
=
√
20
L
v
=
20
L
to estimate the speed of a car,
v
v
, in miles per hour, based on the length,
L
L
, in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 168 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Answers
Answer:
sorry no idea hhcchuucghhf
A graph is shown below:
A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.
What is the equation of the line in slope-intercept form?
Answers
Answer:
b
Step-by-step explanation:
The equation of the line in slope-intercept form is y= 4x+0
What is slope intercept?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
slope m,
= y2-y1/x2-x1
= 16-0/4-0
=16/4
=4
m=4
So, the equation will be , y= 4x+0
Learn more about slope- intercept here:
https://brainly.com/question/12763756
#SPJ2
US adults consume an average of 3,400 mg of sodium each day. We wanted to find out if a 5 minute health video would help people control their salt intake. After watching the video, the 36 participants in our study had a mean sodium intake of 3,200 mg with a standard deviation of 600 mg. What type of statistical test should we run to find out if there was a difference between our group and the general population
Answers
Answer:
a) Z Test(n>30)
b) [tex]t=2.028[/tex]
Step-by-step explanation:
Average [tex]A=3400[/tex]
Mean [tex]\=x=3200[/tex]
Sample size [tex]n=36[/tex]
Standard deviation [tex]\sigma=600mg[/tex]
Generally using the Z Test(n>30)
Generally the equation for Standard Error S.E is mathematically given by
[tex]S.E=\frac{600}{\sqrt{36}}[/tex]}
[tex]S.E=100[/tex]
Generally the equation for Z test is mathematically given by
[tex]Z=\frac{\=x-A}{\sigma\sqrt{n}}[/tex]
[tex]Z=\frac{3200-3400}{600\sqrt{36}}[/tex]
[tex]Z=-2[/tex]
From table
[tex]T critical= (Z,df)[/tex]
Where
[tex]df=n-1[/tex]
[tex]df=35[/tex]
Therefore
[tex]t=2.028[/tex]
The Madison Cosmetics Company has developed a new women's facial cleanser that they believe is superior to those currently on the market in the $5 - $10 range. They wish to test the cleanser against the two current best-sellers.
A. Identify a potential problem with using a completely randomized experimental design to test the cleanser. Explain.
B. The company executives decide to design and carry out a block design experiment to test the new cleanser against its competition. Choose an appropriate blocking scheme for the experiment and justify your choice.
C. Should the company put a control group into the experiment? Why or why not?
D. Could the experiment be a double-blind experiment? Explain.
Answers
Answer:
a. there could be a problem of high error
b. randomized block design can remove the issue of heterogeneity
c. yes they should
d, yes it could
Step-by-step explanation:
a. if their is a lack of homogeneity among the sample population, then the results that would be obtained are going to be with increased experimental error.
b. given the number of treatment, the randomized block design technique can be done. This would then remove the issue of heterogeneity. It also gives more information and the results from the test are easier. Even in the presence of missing data, the missing plot technique can be employed.
c. when a control group is used, it makes easier the examination of the market research in a more effective way.
d. Yes it could be a double blind one. This would help to take away the problem of bias.
HELP!! I don’t know part C or D and I need to know if part A and B are correct
Answers
Answer:
Step-by-step explanation:
A and B are correct!
For part C, just multiply the dimensions given to you by four.
For part D, the answer would be 4 x 4 x 4 which is 264
Q2 find the degree of the polynomial
x4(4x+1)
Answers
Step-by-step explanation:
x⁴(4x+1)
4x⁵+x⁴
degree is 5
6. Roll a pair of dice. What is the probability that a total of 12 will be face up?
Answers
Answer:
The Probability would be 2.78%
Step-by-step explanation: Hope this helps :)
If the distance from D to D' is 10 and the distance from A to D is 2 what is the scale factor?
Answers
Answer:
5
Step-by-step explanation:
10/2=5
The scale factor of the given case that the distance from D to D' is 10 and the distance from A to D is 2 will be 5.
What is the scale factor?
The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics.
The scale factor is the ratio between two big and small figures and the ratio is called a scale for the given geometry.
For example, if we have a triangle with a side of 10 meters and another triangle with a side of 5 then the scale ratio will be 10/5 = 2.
Given that
distance from D to D' is 10
distance from A to D is 2
So the scale ratio will be
DD'/AD = 10/2 = 5 hence scale ratio will be 5 for the given
geometry.
For more about scale ratio,
https://brainly.com/question/13770371
#SPJ2
Can someone help me with this question please.
Answers
Answer:
40
Step-by-step explanation:
As the lawn size increases by 4 the weight increases by 8
What is the volume of a sphere with a radius of 20 m? 10,666.67π m3 6,000π m3 85,333.33π m3 533.33π m3
Answers
Answer:10,666,66 [tex]\pi[/tex]m^3
Step-by-step explanation:
V=[tex]\frac{4}{3} \pi r^{3}[/tex]
[tex]\frac{4}{3} \pi 20^{3} \\ V=10,666.66 \pi[/tex]
ASSESSMENT:
Act as the person in the problem Do the activity. Record your
findings then answer
1. A farmer placed 250 mangoes in a crate, these are 150 ripe and 100 unripe
mangoes, his wife randomly selected 80 mangoes, she got 50 ripe mangoes
and 20 unripe mangoes, find the experimental probability of the mangoes she
selected.
2. A table tennis player has 40 orange table tennis balls, 30 white and 20 yellow
table tennis balls. After selecting 18 balls, he found out that he got 6 white
table tennis balls. Find out the experimental probability of getting white table
tennis table tennis balls.
please answer this
Answers
Answer:
in 1st his wife selected 80 mangoes 50 ripe and 20 unripe how it can be
Step-by-step explanation:
50+20=70 not 80
please share the correct question than I may help you
i need help with this question on my homework
Answers
Answer:
the angle would be 64°
Step-by-step explanation:
since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle
Answer:
Step-by-step explanation:
64 because you subtract 360 by 296
A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random and finds the mean number of runs scored is 7.4 with a sample standard deviation of 2.88.
Required:
Is it likely that his team's scores is different than the national average?
Answers
Answer:
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
Step-by-step explanation:
The National average number of runs scored by a LL team is
μ = 5.7
Sample Information:
size sample n = 5
sample average x = 7.4
sample standard deviation s = 2.88
Is required to investigate if that sample average is statistically different from the National average
We will do a test with 95 % of confidence Interval that means
significance level α = 5 % or α = 0.05.
The sample size is 5 then even when we assume normal distribution the sample size indicates that we need to use t-student distribution. Furthermore, as the question is if the sample average is different from the national the test will be a two-tail test.
Then α = 0.05 α/2 = 0.025
df = n - 1 df = 5 - 1 df = 4
Then from t-student table we get t(c) = 2.132
Hypothesis test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate t (s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 7.4 - 5.7 )* 2.24 / 2.88
t(s) = 1.7* 2.24 / 2.88
t(s) = 1.32
Comparing t(s) and t(c)
1.32 < 2.132
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level.
To find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8.
Where does this section of the bridge meet ground level?
Answers
Answer: 0.876, 9.123
Step-by-step explanation:
The function is [tex]y=-x^2+10-8[/tex]
It meets the ground level when [tex]y[/tex] is 0
[tex]\Rightarrow -x^2+10x-8=0\\\Rightarrow x^2-10x+8=0\\\\\Rightarrow x=\dfrac{10\pm \sqrt{(-10)^2-4(1)(8)}}{2}\\\\\Rightarrow x=\dfrac{10\pm \sqrt{68}}{2}\\\\\Rightarrow x=5\pm \sqrt{17}\\\Rightarrow x=0.876,\ 9.123[/tex]
Thus, it touches the ground at two points given above
What is the length of the line segment joining the points A(3, - 5) and B(-5,1)?
Answers
Yam
190
Groundnuts
90
Vegetables
30. What is the ratio of the land used
for groundnuts to the land for
vegetables
Answers
Answer:
3:1
Step-by-step explanation:
90:30 simplified is 3:1
If the length of a rectangle is four times its width and the perimeter of the rectangle is 90 yd, whats its area?
Answers
Answer:
324 yds ^2
Step-by-step explanation:
If length=l and width=w, you could write an equation to find the length and width. Then use that to find the area. L=4w. There are two of each side in the rectangle. 4w+4w+w+w=10w. 10w=90. w=9. 4w=36. L=36. 36*9=324yds^2
