Answers
Answer:
Step-by-step explanation:
CD = 15, so we have the hypotenuse.
DF = 18, but we can find a leg by 18/2 which is 9
using our pyth. theorem, 15^2=9^2+CG^2
CG = 12
Hope this helped
Related Questions
In some countries, people believe that blood type has a strong impact on personality. For example, Type B blood is thought to be associated with passion and creativity. A statistics student at a large U. S. University decides to test this theory. Reasoning that people involved in the arts should be passionate and creative, she takes a simple random sample of students majoring or minoring in arts at her university and asks them for their blood type. Here are her results:
Observed number of performing arts majors with each blood type
Type A Type B Type AB Type 0 Total
50 23 10 67 150
Assume the distribution of blood type among all U. S. Residents is as follows:
Type A: 42%; Type B: 10%; Type AB: 4%; Type O: 44%.
(a) The student wants to carry out a test of significance to see if the distribution of blood types among arts majors or minors is different from the U. S. Distribution. State the null and alternative hypotheses for this test.
(b) Find the expected counts for each blood type under the assumption that the null hypothesis is true.
(c) Discuss whether the conditions for this test have been met.
(d) Find the value of the test statistic and the P-value of the test, and make the appropriate conclusion. Use α = 0. 5.
(e) Based on your answer to (d), which error is it possible that you have made, Type I or Type II? Describe that error in the context of the problem
Answers
The null hypothesis for the test regarding the blood type is that they distribution of blood types among art major is the same as the US distribution.
What is a null hypothesis?It should be noted that null hypothesis simply suggests that there is no statistical relationship.
Here, the null hypothesis for the test regarding the blood type is that the distribution of blood types among art major is the same as the US distribution and the alternative hypothesis is that the distribution of blood types among art major is different from the US distribution.
The conditions for this test have been met as all expected frequencies are greater than 5.
Since the test statistic is 9.63 and the p-value is 0.022, one can reject the null hypothesis. Therefore, it'll be concluded that the distribution of blood types among arts majors and minors is different from the U.S distribution.
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Find the nature of the roots of 4x ^ 2 + 6x - 7 = 0
a. complex
b. irrational
c. rational
d. real and equal
Answers
Answer:
b
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
the discriminant b² - 4ac informs us about the nature of the roots
• If b² - 4ac > 0 then roots are real and irrational
• If b² - 4ac > 0 abd a perfect square then roots are real and rational
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 the roots are complex
4x² + 6x - 7 = 0 ← is in standard form
with a = 4, b = 6, c = - 7 , then
b² - 4ac = 6² - (4 × 4 × - 7) = 36 - (- 112) = 36 + 112 = 148
since b² - 4ac > 0 then roots are real and irrational
100 POINTS solve the system using linear combination. show all work.{ 5x + 3y = 41 {3x - 6y = 9
Answers
Answer:
y = 2
x = 7
Explanation:
5x + 3y = 413x - 6y = 9Make the coefficient of "y" in equation 1 same
{ 5x + 3y = 41 } * 2 → 10x + 6y = 82 ........equation 1
→ 3x - 6y = 9 ........equation 2
solving them using linear combination
10x + 6y = 823x - 6y = 9============
13x = 91x = 7Find y:
5x + 3y = 415(7) + 3y = 413y = 41 - 353y = 6y = 23x-6y = 9
Becomes
-10-6y=-82
- subtract
3x-6y = 9
=
-13x+0y=-91
X=7
Plug in x to find y
3(7)-6y=9
21-6y=9
Y=2
There are 1 blue ball pen, 1 red ball pen, and 1 green ball pen in Lily's bag while there are 1 blue ball pen and 1 red ball pen is Mandy's bag. A ball pen is randomly drawn from each bag. Find the probability that both ball pens drawn are green
Answers
Answer:
well its simple really.
Step-by-step explanation:
its a 1 percent chance however, by moving her hand around enough like around 20 seconds she'll get green.
Which of the following represents an exponential relationship?
A
(1,5),(2,10),(3,15)(1,5),(2,10),(3,15)
B
(2,9),(3,27),(4,81)(2,9),(3,27),(4,81)
C
(2,4),(3,9),(4,16)(2,4),(3,9),(4,16)
D
(5,15),(6,18),(7,21)
Answers
Answer:
(C)
Step-by-step explanation:
2 power 2 = 4
3 power 2 = 9
4 power 2 = 16
What are the solutions of -x2 + 4x = x - 4?
O-5 and 0
0-5 and -1
0-1 and 4
O and 4
Answers
Answer:
-1 and 4
Step-by-step explanation:
first you bring the terms on the right side to the left and you get:
-x^2 + 3x + 4 = 0
then you divide both sides of the quadratic by -1:
x^2 - 3x - 4 = 0
then you factor the equation:
(x + 1)(x - 4) = 0
for any product to be zero, one of the factors must be zero. hence, either x + 1 or x - 4 can be zero. so x can be -1 and//or 4.
have a great day <3
What is the vector that results from transforming å by the transformation matrix?
5
2 -6
ă
and B=
-3
8
-1
Enter your answer by filling in the boxes.
Answers
Answer:
that's what you get on multiply ing the given matrices
Answer: ( 28, 43)
Step-by-step explanation: I took the test.
[ 2 -6 ] [ 5 ] = [ (2)(5) + (-6)(-3) ] = [ 28 ]
[ 8 -1 ] [ -3] [ (8)(5) + (-1)(-3) ] [ 43 ]
Thus the answer is (28, 43)
What's the domain of this function graph?
A)
[0,∞)
B)
(–∞, 0)
C)
[1,∞)
D)
(–∞,∞)
Answers
Answer:
A) [0,∞)
Step-by-step explanation:
The domain is the horizontal extent of the graph.
__
The given graph goes no farther left than x=0. It extends to infinity to the right (as signified by the arrow pointing right).
The domain is [0, ∞).
Answer:
/
Step-by-step explanation:
A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.
Answers
Answer:
243 feet
Step-by-step explanation:
Answer:
243 i think please
brainlist
Step-by-step explanation:
hi
Jasper wants to buy 4kilograms of nails and 4kilograms of standard washers .How much will hespend? rivets $0.69 per kg nails $0.74 per kg standard washers $1.67 per kg split washers $1.12 per kg bolts $0.90 per kg $ Questions answered
Answers
what is the vaule of x?
Answers
Answer:
98 degree
Step-by-step explanation:
x = 180 - FGH
but
FGH = 180- (53+45)
thus
FGH = 82
thus
x = 180-82
thus
x = 98
A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the
nearest 1000th, that both marbles drawn will be blue?
PLEASE HELP IF YOU CAN
Answers
Answer:
0.111
The probability of two blue marbles being drawn from the bag to all marbles is 2/18, and 2/18 ----> 0.11 rounded to nearest thousandth.
Step-by-step explanation:
Write (5i)2 as either an integer
or an integer multiple of I
Answers
[tex](5i)^2\\\\=25\cdot i^2\\\\=25(-1)\\\\=-25[/tex]
(5i)² can be written in integer form as as -25.
What is a Complex number?The numbers which can be expressed in the form of a + ib, where both 'a' and 'b' are real numbers and 'i' an imaginary number is called complex numbers.
So a complex number has a real part and an imaginary part.
The imaginary number 'i' is called iota and value of i is √-1.
We know the value of i.
i = √-1
i² = -1
(5i)² only has an imaginary part.
∴ (5i)² = 5² i²
= 25 × -1
= -25
Hence we can write (5i)² as -25 in the integer form.
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Penny sells knitted scarves for $12 each. The cost of the supplies to make each scarf is x dollars.
How much profit will Penny make if she sells y scarves?
A. y(12 – x)
B. 12(x – y)
C. y(x – 12)
D. x(12 – y)
Answers
Answer:
A. y(12 – x)
Step-by-step explanation:
The measure of two sides of a triangle are given. Between what two numbers
must the third fall? Complete the inequality.
9 and 15
Answers
6 < c < 24. Pretty sure
Use the figure shown on the right,
11. What is the classification of the figure?
12. Name the bases,
13. Name the faces,
14. Name 2 edges and all of the vertices,
Answers
Answer:
Here's a link for the answer
Need help with this one
Answers
The unit rate of the cost of different weight of pistachios as shown on the graph is $1.25 per pounds.
What is unit rate?A unit rate is a rate where the second quantity is one unit . Therefore, the unit rate of the linear graph can be found as follows;
(2, 2.5)(4, 5)
unit rate = y₂ - y₁ / x₂ - x₁
x₁ = 2
x₂ = 4
y₁ = 2.5
y₂ = 5
unit rate = 5 - 2.5 / 4 - 2 = 2.5 / 2 = $1.25 per pounds
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Could i get some help on this?
Answers
Answer:
Where is the question??
a customer borrows $950 at 6% annual interest rate
Answers
Answer:
The total amount the customer would have to repay after one year is $1,007.
(2 Years = $1,067.42) (3 Years = $1131.47) (4 Years = $1199.36)
(5 Years = $1271.32)
Step-by-step explanation:
$950 • 6% = $57
$950 • 0.06 = $57
$950 + 6% = $1,007
I hope this helps.
When a bill is not paid by the due date, a late fee is added each month until the bill is paid. The values in the table represent the total amount due, in dollars, for each month that a payment remains overdue. Using x for the number of months overdue and y for the total amount due, in dollars, construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due. Enter the equation of the function in the box, and use paper to show your work
Answers
Bill + (Late fee x months) = Final bill
FunctionsGiven that when a bill is not paid by the due date, a late fee is added each month until the bill is paid, to construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due you must perform the following calculation:
Bill + (Late fee x months) = Final billThus, if the bill is $1000 and the late fee is $50 per month, and it takes 4 months to regularize the debt, the function would apply as follows:1000 + (50 x 4) = X1000 + 200 = X1200 = XLearn more about functions in https://brainly.com/question/12431044
Answer:Bill + (Late fee x months) = Final bill
Step-by-step explanation:
Find the perimeter of the isosceles triangle with points A (0,0); B (3,3); and C (6,0)
Answers
Answer:
use distance formula for the sides of the triangle
(0, 5) and (1, 7) fall on a particular line. What is its equation in slope-intercept
Answers
Answer:
The answer is 2x+5.
Step-by-step explanation:
Compare and contrast domain and range.
Answers
-> The domain is the input values
[] What "goes into" the function
[] The x-coordinate values
-> The range is the output values
[] What "comes out" of the function
[] The y-coordinate values
-> They both are values from / with regards to a function.
Which equation could be used to find the number of days, d, in h hours? A. 24+h=d B. 24h=d C. 24/h=d D. H/24=d
Answers
Answer:
h/24= d
if you have any questions do ask
Help me please thanks
Answers
12v + 8
hope it helps...!!!
What value of c makes x2 6x c a perfect square trinomial?
Answers
The value of c that makes the given trinomial a perfect square is 9.
The given expression is:
[tex]x^{2} +6x+c[/tex]
What is a perfect square trinomial?A polynomial is called a perfect square trinomial if it can be written in terms of the square of another polynomial.
Let us write the given expression in (a+b)² form
[tex]x^{2} +6x+c[/tex]
[tex]x^{2} +2*3*x+c[/tex].....(1)
We know [tex](a+b)^2=a^{2} +2ab+b^{2}[/tex]......(2)
To make (1) like we need to put c=9
[tex]x^{2} +2*3*x+9[/tex]
[tex]x^{2} +2*3*x+3^2[/tex]
[tex](x+3)^2[/tex]
Hence, the value of c that makes the given trinomial a perfect square is 9.
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need some help with the question in the image
Cheers
Answers
Answer: 1.45litres
Step-by-step explanation:
250ml = 0.25litres
1.2+0.25= 1.45
ans is 1.45litres
please help me i will give brainlest if the correct answer
Answers
Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2.
(a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase?
(b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
Answers
Answer:
See below ~
Step-by-step explanation:
(a)
Formula
Surface Area = (2 x Base Area) + (Perimeter x Height)Solving
32 = 2 x 4 + (P + 2.4)P + 2.4 = 4P = 1.6 ftLength of rope = 5P5 x 1.6Length of rope = 8 feet(b)
Slant height = √(2.4)² + (1)² = √5.76 + 1 = √6.76 = 2.6 feetArea of a side = slant height x lengthArea of a side = 2.6 x 2 = 5.2 square feetTotal area of sides = 5.2 x 2 = 10.4 square feet% (Area) = 10.4/32 = 0.32532.5%33%An expression is shown.
4(x+3)−10+ 6x
What expressions are eqivalent to the expression
above?
(Select all that apply.)
10x - 7
- 2x - 7 7
2(5x + 1)
2(8x + 1)
4x +3 - 10 + 6x
4x + 12 - 10 + 6x
I will make you brainiest PLEASE HELP!!!!!!!!!!!!!!
Answers
Answer:
10x+2
Step-by-step explanation:
creo que es esa no se si esta bien