Answers
then triangle adds up to 180 degrees so a= 180-52-73 =55 degrees
Answer:
Take the angle above 128° as x.
x = 180 - 128 (linear pair)
x = 52°
a = ?
a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )
a = 180 - 125
a = 55°
Related Questions
Researchers published a study in which they considered the incidence among the elderly of various mental health conditions such as dementia, bi-polar disorder, obsessive compulsive disorder, delirium, and Alzheimer's disease. In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study. Calculate the probability that fewer than 320 out of the n
Answers
Answer:
The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.
Step-by-step explanation:
We use the normal approximation to the binomial distribution 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 the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.
This means that [tex]p = 0.45[/tex]
Mean and standard deviation for the approximation, for a sample of n:
[tex]\mu = E(X) = np = 0.45n[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]
Calculate the probability that fewer than 320 out of the n
Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]
Just have to replace the value of n, find Z, and then find its pvalue.
find the volume of a plastic cube vuilding block with a side length of 12 centimeters
Answers
Step-by-step explanation:
Length of the plastic cube (L) = 12 cm
Volume of the cube
= L³
= ( 12)³
= 1728 cm³
Hope it will help :)❤
If Siny = x Sin (a+y). Prove that
dy/dx=[Sin²(a+y)]/Sina
Answers
Answer:
Use Trigonometric formulae to simplify expressions
Step-by-step explanation:
Re-order to group the x and y,
Sin(y) / Sin(a+y) = x
to differentiate apply d/dx to both sides
[tex]\frac{d}{dx}[/tex]Sin(y) / Sin(a+y) = [tex]\frac{d}{dx}[/tex]x
use division rule on left side which will give
[tex]\frac{dy}{dx}[/tex]Cos(y)Sin(a+y) - [tex]\frac{dy}{dx}[/tex]Cos(a+y)Sin(y) / Sin²(a+y) = 1
Group them so dy/dx is on the left hand side:
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)
Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]
Simplify it
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (1)(Sin(a))
A student received a coupon for 12% off the total purchase price at a clothing store. Let b be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
1. equivalent expression by combining like terms.
b-0.12b
Answers
Answer:
the equivalent expression is 0.88(x)
Step-by-step explanation:
Given that
There is 12% off on the total purchase price
Based on the above information
The expression that used the given terms i.e.
b - 0.12b
i.e.
1 - 0.12
= 0.88(x)
Hence, the equivalent expression is 0.88(x)
Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
it cost her to send 3 small packages and 1 large package?
Answers
Answer:
$10
Step-by-step explanation:
3($2.20)+3.40
6.60+3.40=10
WILL GIVE BRAINLIEST
Find the area of the shaded region. Round to the tenths place. SHOW YOUR WORK
https://d3rqz33hmpm7kb.cloudfront.net/2021-01-15/5f6e19a9f9b9f1c16c230aae/6001f53de589b94a3a0f092f_rich-text-file-2021-01-15T20-04-46-084Z.imagepng
Answers
area of the rectangle = 13x6=78
area of unshaded semi circle (circle) =
π x 3 x 3 = 28.274 ≈ 28.27
78-28.27=49.73 (in 2 decimal place)
if it’s not in 2 decimal place then it’s 49.726
I NEED HELP ASAP
FIND THE MEASURE OF MISSING ANGLE
Answers
Answer:
50
Step-by-step explanation:
a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees
pleeeaassseee brainliest to first person
Answers
Answer:
B. 128
Step-by-step explanation:
Answer:
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
h²=100²+80²
h²=10000+6400
h=√16400=128.06m
128m is the required answer.
A theatre has 46 rows.
There are 42 seats in each row.
During a show at the theatre, there are 50 empty seats.
Work out how many people are watching the show.
Answers
Answer:
1882
Step-by-step explanation:
46x42=1932 1932-50=1882
You invested $101 and received $106.05 after one year.what was the interest rate?
Answers
The person below me is true
Salma has ridden 18 miles of a bike course. The course is 20 miles long. What percentage of the course has Salma ridden so far?
Answers
There is an ice cream cake in the freezer. On Monday, the family eats 1/2 of
the cake. On Wednesday, they eat 1/4 of the cake. How much did the family
eat altogether?
Answers
Answer: 2/4
Step-by-step explanation: Easy 2 + 2 = 4
find the ratio of 20 : 50
Answers
Answer:
20:50
20/50=40%
Can you plz help right answer plz
Answers
Answer:
4.8 inches
Step-by-step explanation:
A ladder is standing on horizontal ground and rests against a vertical
wall. The ladder is 4.5 m long and its foot is 1.6 m from the wall.
Calculate how far up the wall the ladder will reach. Round your
answer to three decimal places. (Show your working)
Answers
Answer:
I don't know how to tell you the answer on this one because you need to know how tall the wall is for this one
Step-by-step explanation:
6. (09.04 LC)
For the equation y = 6x2 – 9x + 22, choose the correct application of the quadratic formula. (5 points)
X
-6+1(6)- 4(-9)(22)
2(-9)
X
6 + (6)- 4-9)(22)
21-9)
--9 +1(-99) - 4(6)(22)
X
2(6)
X
9+(-9) - 4(6)(22)
2(6)
Answers
Given:
The quadratic equation is
[tex]y=6x^2-9x+22[/tex]
To find:
The correct application of the quadratic formula.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]y=6x^2-9x+22[/tex]
Putting [tex]y=0[/tex], we get
[tex]6x^2-9x+22=0[/tex]
Here, [tex]a=6,b=-9,c=22[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex]
The correct application of the quadratic formula is [tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex].
Note: The options are not in proper format.
NEED HELP MY GRADE DEPENDS ON THIS QUESTION!!!
Write a congruence statement that describes the figures below.
Answers
Answer:
✓ triangle GSP = triangle RKF
Step-by-step explanation:
have a great day!
Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.
What is the perimeter and area?
Answers
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
A bread recipe calls for 1/3 cup of white flour and 5 1/3 cups of whole wheat flour. How much flour do I need in total of my recipe?
Answers
Answer:
5 2/3
Step-by-step explanation:
What is the value of m in the diagram?
A. 11.2
B. 20.02
C. 15.8
D. 11
Answers
Answer:
20.02
Step-by-step explanation:
Answer:
20.02
Step-by-step explanation:
Suzanna uses a 1/4 cup measuring scoop to make her coffee. If she needs to fill her coffee filter with 2 cuos of coffe grounds,how many 1/4 cups scoops will she need to use
Answers
Answer:
8
Step-by-step explanation:
1/4 times 8 is 2
For each ordered pair, determine whether it is a solution to 7x - 4y= -5.
Answers
find m<1 in the rhombus below
Answers
Answer:
[tex] m \angle \: 1 = 120 \degree[/tex]
Step-by-step explanation:
Given figure is of a rhombus.
Measures of the opposite angles of a rhombus are equal.
Therefore,
[tex]m \angle \: 1 = 120 \degree[/tex]
What is the equation of this circle in standard form?
A.
(x + 5.5)2 + (y + 4)2 = 12.25
B.
(x − 5.5)2 + (y − 4)2 = 3.5
C.
(x + 5.5)2 + (y + 4)2 = 3.5
D.
(x − 5.5)2 + (y − 4)2 = 12.25
Answers
Answer:
D.
(x − 5.5)2 + (y − 4)2 = 12.25
A golf pro wants to determine if Titleist Pro V1 golf balls (1) travel farther, on average, than Callaway Chrome Soft golf balls (2). A robot hits 9 of each ball, selected at random, and the distance traveled is measured. Assume the distances traveled are normally distributed. The average distance traveled by the 9 Titleist Pro V1 golf balls is 261.1 yards with standard deviation 10 yards, and the average distance traveled by the 9 Callaway Chrome Soft golf balls is 249.3 yards with standard deviation 12 yards.
Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
a. pairedt test for means
b. paredz test for means
c. Ottest for proportions
d. test for means
e. test for means
f. Ottest for proportions
Answers
Complete options are;
A) Paired t-test for means
B) Paired Z-test for means
C) Z-test for proportion
D) t-test for means
E) Z-test for means
F) t-test for proportion
Answer:
B) Paired Z-test for means
Step-by-step explanation:
We are told that the distances travelled are normally distributed.
We are also trying to find out if the average distance travelled by the Titleist Pro V1 golf balls is farther than that of the Callaway Chrome Soft golf balls.
Also, the standard deviation of both cases are known.
Thus, this is where Paired Z-test for means is used.
According to the desired test, the correct option is:
a. paired t-test for means
At the null hypothesis, it is tested that ball 1 does not travel farther than ball 2, that is, the subtraction is of at most 0:
[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]
At the alternative hypothesis, it is tested if it travels farther, that is:
[tex]H_1: \mu_1 - \mu_2 > 0[/tex]
Since we have the standard deviation for the sample, the t-distribution is used.The values tested are greater than 1, hence, the test is for means.There are two samples, hence a paired test is used.Considering the three bullet points above, the correct option is a.
For more on a paired t-test for means, you can check https://brainly.com/question/16162795
말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explain the reasoning for your answer. (4 pts.)
Answers
Answer:
38
Step-by-step explanation:
We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.
Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
Answers
And the 5 is their speed
d=|80-5t|
60=|80-5t| |square both sides
60² = (80-5t)(80-5t)
3600 = 6400-400t-400t +25²
25t²-800t +6400 =3600
25t² -800t + 2800=0
5t² -160t +560=0
(ax²+bx+c=0)
(a=+5 b=-160 c=+560)
Sub into -b formula
x=(-b±√(b²-4ac))/(2a)
t= (-(-160)±√((-160)²-4(5)(560))/(2(5)) .
Should get t=4 seconds and t=28 seconds
sub both values back in to make sure
d=|80-5(4)|
d=|80-20|
d=60ft
d=|80-5(28)|
d=|80-140||
d=60ft
Find the
area of each
triangle.
9 m
5 m
8m
Answers
Answer:
22.5 [tex]m^{2}[/tex]
Explanation:
The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh
In this case, the base is 9 m and the height is 5 m
9x5=45
45/2= 22.5
Consider the relationship 7r+2t=7. a. Write the relationship as a function r=f(t).
Answers
Answer: r = 2/7 -t
Step-by-step explanation: solve r from equation
7r = 2-7t l:7. r = 2/7 - t
The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
What is the equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Consider the relationship;
7r+2t=7
Substitute r = f(t) in the equation
[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]
Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
Learn more about equation here;
https://brainly.com/question/9699841
#SPJ2
(2x-3)/4 + (2x-5)/6= 1/2
Answers
Answer:
Step-by-step explanation:
making all terms have a common denominator of 12
(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out
3(2x-3)+2(2x-5)=6
6x-9+4x-10=6
10x-19=6
10x=25
x=2.5