Step-by-step explanation:
step 1. let's call the line in the middle y.
step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.
step 3. x^2 + y^2 =100 (pythagorean theorem))
step 4. x^2 + (sqrt(74))^2 = 100.
step 5. x^2 = 100 - 74
step 6. x^2 = 26
step 7. x = sqrt(26). note: sqrt is the square root.
The value of the x is [tex]\sqrt{26}[/tex].
To understand more, check below explanation.
Pythagoras theorem :Apply Pythagoras theorem in right side triangle,
Hypotenuse[tex]=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}[/tex]
Now apply Pythagoras theorem in the left side triangle,
[tex]Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}[/tex]
Hence, the value of the x is [tex]\sqrt{26}[/tex].
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anybody know the answer it's science but more ppl is on the math side
Answer:
im assuming it is because the metal draws heat from you faster than the plastic does
Step-by-step explanation:
can someone please help its due soon.ill give brainliest!
Step-by-step explanation:
LINE K is linear equation
y = mx + b
m = delta y/ delta x
= 6/3
= 2
b = y-intercept (at x = 0, y = 0)
y = 2x
1. 6x - 29 = 115
2. 3y - 1 = 29
3. 4z - 32 = 36
find x, y, and z
Answer:
x = 24 , y = 10, z = 17
Step-by-step explanation:
Given
6x - 29 = 115
6x = 115 + 29
6x = 144
x = 144 / 6
x = 24
3y - 1 = 29
3y = 29 + 1
3y = 30
y = 30 / 3
y = 10
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68 / 4
z = 17
Hope it will help :)
What is the value of x?
answer: 12
Step-by-step explanation:
At a manufacturing company, the percent of defective items produced on the assembly line is 2%. The company is testing a new assembly line designed to reduce the percent of defective parts. The
null and alternative hypotheses of the test are described as follows.
H : The percent of defective parts is at least 2%.
H : The percent of defective parts is less than 2%.
Which of the following describes a Type II error that could result from the test?
A) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 3%.
Submit
B
The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 2%
C) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%.
D
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 2%
E
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 1%.
Answer: C. the test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%
Step-by-step explanation:
A Type II error occurs if a false null hypothesis is not rejected. In this case, the new assembly line does reduce the percent of defective items, but the test fails to detect it.
You can use the definition of type II error to identify what option describes a Type II error.
The option that describes a type II error that could result from the test is:
Option C) The test does not provide convincing evidence that the percent is less than 2% (ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1% (ie the accepted null hypothesis was wrong in reality, thus, causing type II error)
What is Type I and Type II error?Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.
The type 1 error occurs if we get false positive conclusion (false positive means we accuse null hypothesis being wrong when it was actually correct).The type 2 error occurs if we get false negative conclusion (false negative means we accept null hypothesis when it was actually false).The negative is just like the doctor's test getting negative means no disease. Similarly, if we conclude null hypothesis negative means it is accepted. If it is accepted wrongly means the negative test result was false, thus called false negative. This error is called type II error.
What is type II error in given context?Since the specified null hypothesis is [tex]H_0[/tex] = The percent of defective parts is at least 2%.
Thus, according to the aforesaid definition of type II error, we get:
Acceptance of null hypothesis since the test doesn't provide enough evidence for alternate hypothesis to be true or that the test doesn't provide enough evidence that the percent is less than 2% but the actual percent is less than 2%
Thus, Option C) The test does not provide convincing evidence that the percent is less than 2%(ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1%(ie the accepted null hypothesis was wrong in reality, thus, causing type II error)
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I need number 7!plz help
Answer:
x-4,y-3
Step-by-step explanation:
left = negative , down = negative
Find the height of a cone with a volume of 377 inches and a radius of 4 inches
Find the value of X.
Answer:
its 70
Step-by-step explanation:
he angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc at any other point on the remaining part of the circle.
2∠ACB=∠AOB
∠AOB=2×35=70°
Is it possible for an even degree polynomial to have no real zeros?
Answer:
All polynomial functions of positive, odd order have at least one zero (this follows from the fundamental theorem of algebra), while polynomial functions of positive, even order may not have a zero (for example x4+1 x 4 + 1 has no real zero, although it does have complex ones).
Step-by-step explanation:
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
840÷69=14
14×100=1400
What is the slope of (-1,-2) and (5,-3)
Answer:
M = -1/6
Step-by-step explanation:
what is 115.7 rouned the ones place
Answer:
brainliest please
Step-by-step explanation:
116
What is the solution of the system? Use elimination.
5x-6y=-32
3x+6y=48
Answer:
x=2 y=7
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Find the reference angle for a rotation of 320°.
Answer:
40°
Step-by-step explanation:
Graph the system of equations on the grid below and then mark ther point of intersex (Point C)
Y=3x+3
Y=x+5
Answer:
Step-by-step explanation:
do your best job
Point of intersection of equations is (1 , 6)
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Given equations
y = 3x + 3 ---------(1)
y = x + 5 ---------(2)
Subtracting equation 2 from equation 1.
y - y = 3x + 3 - (x + 5)
0 = 3x + 3 - x - 5
0 = 2x - 2
x = 1
Putting value of x in equation 2
y = 1 + 5
y = 6
Intersection point,
(x , y) = (1 , 6)
Hence, (1 , 6) is the point of intersection of given equations.
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What is the difference of the polynomials?
(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)
–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
–6x4y – 2x3y2 – x2y3 – 3xy4 – y5
–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5
–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5
Answer:
The first
Step-by-step explanation:
The difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.
The given polynomials
(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)
The difference in the given polynomialsThe difference in the given polynomials is calculated as follows;
(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)
open the brackets;
-2x³y² + 4x²y³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵
add similar terms together;
- 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵
Thus, the difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.
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The population of a city is 150,000 and the annual growth rate is 6.9%. Write an equation to model
the population y after x year
Answer:
Step-by-step explanation:
[tex]y=150000(1.069)^x[/tex]
Frankie wants to build a garden with a central walkway. The walkway measures 2 feet by 8 feet and he wants the garden to have the same width all around the walkway. Because of the size of the backyard, Frankie wants the total area of the garden with its walk way to be greater than 100 square feet.
Which inequality represents the combined area of the garden and walkway?
A: (2w+2) (w+8) < 100
B: (w+2) (w+8) < 100
C: (2w+2) (w+8) > 100
D: (w+2) (2w+8) < 100
PLEASE HELP ME!!
John delivers newspapers every morning in his neighborhood. He gets paid based on the number of hours x, that he works. This table reflects John's pay scale.
Answer:
w = 2 + 8x
Step-by-step explanation:
this is the only equation where, after plugging in hours and wages, the values are correct
The equation where, after plugging in hours and wages, the values are correct would be; w = 2 + 8x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that John delivers newspapers every morning in his neighborhood.
John gets paid based on the number of hours x, that he works.
Thus the only equation where, after plugging in hours and wages, the values are correct would be;
w = 2 + 8x
Substituting x = 1
w = 2 + 8(1)
w = 10
Hence, this equation is correct.
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Elena has a 3 by 4 inches that she wants to enlarge so the longest
side is 3 feet. How wide is it *
9 feet
27 feet
27 inches
2.8 feet
Mr. Lee mailed 3 packages. The greatest amount he paid to mail one of these packages was $3.60. The least amount he paid to mail one of these packages was $1.70. What could be the total amount Mr. Lee paid to mail the packages?
Answer:
8.30
Step-by-step explanation:
Lee mailed 3 packages
If he paid 1.70 for 1 package and 3.60 for 2 package
= 3.60×2 + 1.70
= 7.2+1.70
= 8.9
If Lee paid 3.60 for 1 package and 1.70 for 2 packages
= 3.60 + 1.70(2)
= 3.60 + 3.4
= 7
Hence the price paid to mail the thee packages is 8.30 because it falls in between 7 and 8.9
Answer: a. $8.30
Step-by-step explanation:
Highest paid was $3.60 and lowest paid was $1.70. There is a middle package that cost less than $3.60 and more than $1.70.
= 3.6 + 1.7
= $5.30
This rules out option c because we have not added the price of the third package and it is already higher than option c.
Add the maximum twice:
= 3.6 + 3.6 + 1.7
= $8.90
If the second package was assumed to have the same cost as the highest paid, the total would still be less than options b and d which makes them both wrong.
Option a is the most feasible answer.
What does it mean to be proportional?
In other words what is the meaning of proportional?
SOLVE FOR POSSIBLE BRAINLIEST
Answer:
in my words proportional means having equal portions lets say you cut a pizza into 4 separate pieces if you had 1 piece that was half and three pieces random that is not proportional but if you have 4 quarters that is proportional
Step-by-step explanation:
-2(-5x - 10) + 30 = -110
Answer:
your answer will be x=−16
Step-by-step explanation:
Simplify −2(−5x−10)+30
10x+50=−110
10x=−160
Divide each term by 10
and simplify.
x=−16
I hope this helps ^_^
HELPPPP PLS IM BEING TIMED!! 10 POINTS
consider the pairs of ratios given in the first column and determine whether or not the ratios form a proportion
Ratios
Yes, they are
proportional
No, they are not
proportional
8 old rings for every 1 new ring 16 old rings for every 2
new rings
o
$9:4 visitors - $18:8 visitors
16 e mails to 6 text messages - 10 e-mails to 4 text
messages
SHOW HINT
Answer:
1) Proportinal
2)Non Proportinal
3)Proportinal
Step-by-step explanation:
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
A bicycle has a listed price of $682.99 before tax. If the sales tax rate is 8.25%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answer:
739.34
Step-by-step explanation:
What is the slope-intercept form of the equation of a line with a slope of 2 and a y-intercept of -7?
a. y = 2x - 7
b. 7x - y = -2
c. y = -2x + 7
d. y = -7x + 2
=====================================================
We're given:-
[tex]\bigstar{\boxed{\pmb{Slope:-~2;~y-intercept:-~-7}}[/tex]
To find:-
[tex]\bigstar{\boxed{\pmb{equation~of~the~line}}[/tex]
Solution:-
Notice that we're asked to write the line's equation in slope-intercept form.
Slope-intercept looks like so:
[tex]\bigstar{\boxed{y=mx+b}[/tex]
where m -> slope & b -> y-intercept
Oh wow, it's really easy now, because we should just plug in the values:-
[tex]\bigstar{\boxed{\pmb{\maltese{y=2x-7}}}}[/tex]
=================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
In a circle if radius 12 feet is a central angle that intercepts an arc of length 6 yards . Find the radian measure of the central angle.
Answer:
Find the Central Angle from the Arc Length and Radius
You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.
Step-by-step explanation:
I need some help on this question! I will mark you if you answer.
Answer:
definitely 145
Step-by-step explanation:
It is 145 degrees I hope this helps :)
Please help with math it’s trigonometry and laws of sine I’m being timed
Step-by-step explanation:
x² = 50²+ 55² - 2 • 50 • 55 • cos61°
For Problem 10, simplify the expressions using properties of operations. 10. (t - 1) – (-7t+2)
Answer:
8t-3
Step-by-step explanation:
(t-1)-(-7t+2)
t-1+7t-2
t+7t-1-2
8t-1-2
8t-3