Answer:
34 °
Step-by-step explanation:
∠D = 71°
∠G = 37°
In ΔGEF
Using angle sum property of triangle : Sum of all angles of triangle is 180°
∠G+∠E+∠F = 180°
Since ΔGEF is right angled triangle at F so, ∠F = 90°
Now, 37°+∠E+90° = 180°
127°+∠E= 180°
∠E= 180°-127° =53°
Now ∠E+∠D = 53°+71° = 124°
Now using exterior angle property in ΔABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles
∠E+∠D is the exterior angle of ΔABC
So, ∠A+∠B = ∠E+∠D
since ΔABC is right angled triangle at B so, ∠B = 90°
∠A+90° = 124°
∠A = 124°-90°
∠A = 34°
Hence the measurement of angle A is 34 °
Assuming the following is a triangle, A = 72°
All interior angles of a triangle added together will always equal 180°, so [tex]180 - 71 - 37 = 72[/tex]
Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals103.29, y overbarequals103.75, requals0.899, P-valueequals0.000, and ModifyingAbove y with caret equals negative 9.5 plus 1.1 x, where x represents the IQ score of the younger child. Find the best predicted value of ModifyingAbove y with caret given that the younger child has an IQ of 105? Use a significance level of 0.05.
Answer:
106
Step-by-step explanation:
Given :
Number of the set of siblings = 20
This 20 pair yields [tex]$\overline x$[/tex] = 103.29, [tex]$\overline y$[/tex] = 103.75, requals = 0.899, P-value = 0.000
Let x represents the IQ score of the younger child.
And y is the predicted value of Y(^).
So according to the question,
x = 105
and y = -9.5 + 1.1 x
Then,
y = -9.5 + 1.1 (105)
y = -9.5 + 115.5
y = 106
So the best predicted value of Y(^) is 106
x-y=3 what is this in slope intercept form
Answer:
y=x-3
Step-by-step explanation:
What is the center of the data?
Number of Green Candies in a Bag
A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots.
The center is
.
Answer:
[tex]Median = 13[/tex]
Step-by-step explanation:
Given
See attachment for dot plot
Required
The center of data
This implies that, we calculate the median
From the attached plot,
[tex]n = 13[/tex] --- number of observation
So, the median is:
[tex]Median = \frac{n + 1}{2}[/tex]
[tex]Median = \frac{13 + 1}{2}[/tex]
[tex]Median = \frac{14}{2}[/tex]
[tex]Median = 7th[/tex]
The median is at the 7th position
At the 7th position, is 13
Hence:
[tex]Median = 13[/tex]
Answer:
i think it would be 13?
Step-by-step explanation:
just guessing but im pretty sure its 13
Can I get help with this please?
hii please help i’ll give brainliest
Answer:
18
Step-by-step explanation:
Multiples of 6: 6, 12, 18, etc.
Multiples of 9: 9, 18, etc.
the least common multiple here is 18
Answer:
Example: 9 and 12
Step-by-step explanation:
9: 9, 18, 27, 36, 48, 54, 63, 72..
12: 12, 24, 36, 48, 60, 72
36 is the first number that occurred in both list, so 36 is the least common multiple of 9 and 12
What is the slope of the line on the graph
Answer:
slope of the line(m) =(y2-y1)/(x2-x1)
or, m=(16-10)/(6-3)
or, m=6/3
So, m=2
OKAY, guys give me a really brilliant explanation on how 2+2=4. It should be 22. It doesn't make sense.
Answer:
It does make perfect sense... Count with ya fingers and see 4 yourself.
Step-by-step explanation: Go back to kindergarten buddy...
~ thx 4 the points my dude!~
What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6
Answer:
He made a mistake in his calculations when simplifying 5x - 2y
Step-by-step explanation:
Given
The coordinate pair
[tex](x,y) = (2,-2)[/tex]
The equations
[tex]7x + 9y = ?[/tex]
[tex]5x - 2y = ?[/tex]
Dimitri's Solution
[tex]Equation\ 1: 7x + 9y = -4.[/tex]
[tex]7(2) + 9 (-2) = -4.[/tex]
[tex]14 + (-18) = -4.[/tex]
[tex]-4 = -4.[/tex]
[tex]Equation\ 2: 5x -2y = 6.[/tex]
[tex]5(2) - 2 (-2) = 6.[/tex]
[tex]10 - 4 = 6.[/tex]
[tex]6 = 6.[/tex]
Required
Identify Dimitri’s mistake
In the first equation, Dimitri made no mistake.
However, he made a mistake when simplifying the second equation.
We have:
[tex]5x - 2y[/tex]
and
[tex](x,y) = (2,-2)[/tex]
Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]
So, we have:
[tex]5(2) -2(-2)[/tex]
Open bracket
[tex]10 +4[/tex]
Finally, we have:
[tex]14[/tex]
Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following algebraic representations could be used for that transformation?
Select one:
(x,y)→(−x,y)
(x,y)→(4x,4y)
(x,y)→(x,y+6)
(x,y)→(x+6,y)
Answer:
C) (x,y) → (x,y+6)
Step-by-step explanation:
As the x value stays the same after the transformation, we know that there can be no changes to the value x, automatically limiting the options to answer C.
The mathematical way to find the value y is changed by would be by setting up a small equation as follows:
[tex]8 = 2 + n[/tex], where n is some number that the y value is altered by.
Solving for n gives the value 6, proving that the translation must add 6 to the y value.
A point slope form a line that had a slope of 1/2 and goes through (-1,-3) is?
Answer:
y=1/2x-5/2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1/2(x-(-1))
y+3=1/2(x+1)
y=1/2x+1/2-3
y=1/2x+1/2-6/2
y=1/2x-5/2
A quality control manager samples 700 LED bulbs and finds defects in 8 of them. What is the probability that a bulb selected at random will have a defect?
Answer: 0.0114
Step-by-step explanation:
Since we are given the information that the quality control manager samples 700 LED bulbs and finds out that 8 bulbs have defects in them.
The probability that a bulb selected at random will have a defect will be calculated as follows:
= Number of defected bulbs / Total number of bulbs sampled
= 8/700
= 0.0114
Therefore, the probability is 0.0114.
Assume that 80 yen = $1.
What is the yen price of $1?
What is ths dollar price of 1 yen?
How many dollars would you need to buy a 20,000 yen iphone?
Answer:
250$
Step-by-step explanation:
[tex]80/1 = 20000/x\\20000/80=250\\1 * 250=250\\\\80/1 = 20000/250\\[/tex]
9
?
Find the arc length of the semicircle,
Either enter an exact answer in terms of ar or use 3.14 for 7 and enter your answer as a decimal.
units
Answer:
28.26 units
Step-by-step explanation:
Given:
Radius (r) = 9
π = 3.14
Required:
Arc length
Solution:
Arc length = θ/360 × 2πr
θ = 180° (half of a circle = 180°)
Plug in the values into the formula
Arc length = 180/360 × 2 × 3.14 × 9
Arc length = ½ × 56.52
Arc length = 28.26 units
Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55
Answer:
The answer is D. = 0.99
Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Find the slope:
[tex]m = \frac{y2-y1}{x2-x1} = \frac{9 - 1}{-6 - 4} = -\frac{8}{10} = -\frac{4}{5}[/tex]Use point-slope form and one of the points:
y - y₁ = m(x - x₁)[tex]y - 1 = -\frac{4}{5}(x - 4)[/tex]A jar contains 4 green marbles 2 pink marbles 3 striped marbles. One marble is picked at random and then replaced. Then another marble is drawn at random again. What is the probability that both marbles are striped?
Answer:
25%
Step-by-step explanation:
Answer: It’s 1/9 I got the same question on my test.
tasha purchased an ipad for $625. a year later, it was selling for $500. what was the percent of change?
a. 20% increase
b. 25% increase
c. 20% decrease
d. 25% decrease
Identify each pair of angles in the diagram below as adjacent, vertical,
corresponding, alternate interior, or none of these.
Answer:
1) corresponding
2) alternate interior
3) corresponding
4) alternate exterior
5) vertical
6) supplementary
Christopher needs to buy wooden boardes to build a box that is 12 inches long, 6 inches wide, and 8 inches high. How many square inches of wooden boards is needed to build the box
Answer:
432 in²
Step-by-step explanation:
To Obtian the square inches of wooden boards required :
Area of box = 2(l * w) + 2(l * h) + 2(h * w)
Length = 12 ; width = 6 ; height = 8
Hence,
Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)
Area of box = 2(72) + 2(96) + 2(48)
Area of box = 432 in²
Claire had 4 1/6 feet of string. She used some string to hang out decorations. Now she has 1 5/6 feet of string left. How much string did claire use? Draw a model and solve.
Answer:
Length of string used by Claire = 7 / 3 feet
Step-by-step explanation:
Given:
Length of string Claire in starts = [tex]4\frac{1}{6}[/tex] feet
Length of string Claire in end = [tex]1\frac{5}{6}[/tex] feet
Find:
Length of string used by Claire
Computation:
Length of string Claire in starts = [tex]4\frac{1}{6}[/tex] feet = 25 / 6 feet
Length of string Claire in end = [tex]1\frac{5}{6}[/tex] feet = 11 / 6 feet
Length of string used by Claire = Length of string Claire in starts - Length of string Claire in end
Length of string used by Claire = [25 / 6] - [11 / 6]
BY taking LCM
Length of string used by Claire = [25 - 11] / 6
Length of string used by Claire = 14 / 6
Length of string used by Claire = 7 / 3 feet
The radius of a cylindrical cup is 6 ft and its volume is 420 cubic ft. Find the
height of the cup.
A.5 ft
B.3.71 ft
C.2.98 ft
D.6 ft
Answer:
Step-by-step explanation:
Volume of cylinder=pir^h
420={22/7×6×6]h=792/7h=113.14h
h=420/113.14
h=3.712
What is the slope of y =
-4?
Answer:
20
Step-by-step explanation:
please help
2y+x=-15
y=2x
Answer: x = -3
Step-by-step explanation:
2y + x = -15
y = 2x
2y = 2(2x) = 4x
4x + x = -15
5x = -15
x = -3
PLZ HELP
How many solutions does the equation 3s + 7 = 3 + 4 + 3s have? (5 points)
a
Two
b
None
c
One
d
Infinitely many
Answer:
(d) infinitely many solutions
Step-by-step explanation:
Subtract 3s from both sides of 3s + 7 = 3 + 4 + 3s. We get
7 = 3 + 4, or 7 = 7. This is always true. There are (d) infinitely many solutions.
Answer:
(d) infinitely many solutions.
How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100-ft radius?
Answer:
Number of flowers required = 1256
Step-by-step explanation:
Circumference of a circle is given by the formula,
Circumference = 2πr
Here, r = radius of the circle
For a circle with radius = 100 in.
Therefore, circumference = 2π(100)
= 200π
= 628.32 ft
Distance between each flower = 6 in
≈ [tex]\frac{6}{12}[/tex]
= 0.5 ft
Number of flowers = [tex]\frac{\text{Circumference}}{\text{Space between each flower}}[/tex]
= [tex]\frac{628.32}{0.5}[/tex]
= 1256.63
≈ 1256
Therefore, number of flowers required = 1256
Given the diagram shown below, find the value of 3x
Answer:
x= 6
Step-by-step explanation:
by using Pythagoras theorem
(30)={(9x^2+ 16x^2)}1/2
30= 5x
x= 30/5
x= 6
Answer:
18
Step-by-step explanation:
The triangle is a right triangle with sides 3x, 4x, 5x.
5x = 30
x = 6
3x = 3(6) = 18
Answer: 18
Find the volume of the cylinder. Use 3.14 for u. Round to the nearest whole number.
Radius-34 m
Height-45 m
Answer:
1530 cubic centimeters
can someone help me with this ?
Answer:
de goes with bc ab goes with fd and angle f is angle A and angle d is angle B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Need some help on this question. Will award brainliest to a correct answer.
A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves. Find the speed of the car. Write a formula that connects D and T. What is the coefficient of variation k equal to?
Use this data to answer the questions below:
2, 4, 7, 8, 9, 12, 13
What is the range of the data?
What is the second quartile Q2 (or what is the median)?
What is the interquartile range? (Q1-Q3)
Answer: The Range is 11
The Q2 is 8
The Interquartile range is 8