Answer:
the sample standard deviation and t distribution can be used
Step-by-step explanation:
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfies the equation of the circle is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333)The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfies the equation of the circle is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/11711668
y over 11 =8 .solve for y
Answer:
y=88
Step-by-step explanation:
Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.
They are parallel because they have the same slopes (5x)
Decide whether the following statement makes sense or does not make sense. The weights of babies born at Belmont Hospital are normally distributed with a mean of 6.8 pounds and a standard deviation of 7 pounds.
Answer:
yeah that makes sense to me
What is the discriminate of the following quadratic equation?
4x^2 - 2x + 6 = 0
-92
Step-by-step explanation:
If a quadratic equation has the following form:
[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]
then its discriminant D is defined as
[tex]D = b^2 - 4ac[/tex]
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
[tex]D > 0,\;\;[/tex] there will be 2 real roots
[tex]D = 0,\;\;[/tex] there will be 1 real root
[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
For each computer Isabella sells, she earns a 5% commission. If she sells 3 computers for
$985.00 each, what is her commission?
$14.78
b. $49.25
$147.75
a.
C.
Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula l=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time
Answer:
$900
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
I = PRT
I = ($4500)(0.05)(4) = $900
The total interest was $900.
[tex]\large\tt\green{Answer}[/tex]
The total interest was $900[tex]\large\tt\green{Step-by-step \: explanation}[/tex]
Step 1:
Put the numbers in the formula and do the arithmetic.
I = P × R × TI = $4500 × 5% × 4Step 2:
Rename 5% into decimal
I = P × R × TI = $4500 × 0.05 × 4Step 3:
Solve the problem with the full solution.
I = P × R × TI = $4500 × 5% × 4I = $4500 × 0.05 × 4I = $ 900Therefore, the total interest was $900
What is the area of the composite figure
Joshua wanted to know the distance between two cities. The scale on the map was 1/2 in = 10 km. The distance between the cities on the map was 2 1/4 in. What was the actual distance between the cities?
Step-by-step explanation:
remark : it is very unusual for a map to mix two measurement norms. they are normally either fully in the American or fully in the metric system.
but let's do the exercise.
the scale says 1/2 in = 10 km
but our measurement on the map brought us quarter inches.
so,
1/2 in = 2/4 in = 10 km
therefore
1/4 in = 10/2 = 5 km
now,
2 1/4 = 9/4 in
this is 9 times 1/4.
therefore, the distance between the 2 cities is
9 × 5 = 45 km.
There are 28 girls and 21 boys in a class. What is the ratio, in simplest terms, of the number of girls to the number of boys? (show the work please)
Answer: The simplified ratio is 4:3
Step-by-step explanation:
To find the ratio of the number of girls to the number of boys, we can divide the number of girls (28) by the number of boys (21) to get:
28 ÷ 21 = [tex]\frac{28}{21}[/tex]
Next, we can simplify the fraction further to get [tex]\frac{4}{3}[/tex], which equals 4:3.
Pls look at the picture for question.
Answer:
-5, -2, 3, 4
They are in the correct order already :)
Step-by-step explanation:
They greater a negative number is the less it becomes and positive numbers are always greater than negative ones.
Good luck :)
What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1
Is 0.136 greater or least to 0.23?
Answer: least
Step-by-step explanation: because 0.23 is closer to 1
Least
If you removed the last term from 0.136, it would become 0.13
Compared to 0.25, it is lower.
f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation
Step-by-step explanation:
Given:
f(x) = x² and g(x) = (x - 9)² + 3If g is the translation of f then it is:
g(x) = f(x - 9) + 3This is a shift right 9 units and up 3 units
Answer:
Yes
Step-by-step explanation:
f(x)=x²
y=x²Shift nine units right
y={x-9)²Shift 3 units up
g(x)=(x-9)²+312*100 please do it im in a hurry
Answer: 1200
Step-by-step explanation:
12*100 = 1200
Add the two 0’s in 100 to the end of 12 and get 1200
Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each angle relationship with the appropriate reason. Vertical angles theorem Alternate exterior angles theorem linear pair Alternate interior angles theorem Corresponding angles theorem same-side interior angles m_HED = m_FE) mKFE = m_FEJ MZLFG = MADEH
The angle relationship and their reasons are:
m∠HED = m∠FEJ ---> Vertical angles theoremm∠KFE = m∠DEH ---> Alternate interior angles theoremm∠LFG = m∠DEH ---> Alternate exterior angles theoremm∠JEF + m∠LFE = 180° ---> same-side interior angles theoremm∠DEJ = m∠EFL ---> Corresponding interior angles theoremm∠LFG + m∠GFK = 180 ---> linear pairThe angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
m∠HED = m∠FEJ ---> Vertical angles theorem∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
m∠KFE = m∠DEH ---> Alternate interior angles theorem∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
m∠LFG = m∠DEH ---> Alternate exterior angles theorem∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
m∠DEJ = m∠EFL ---> Corresponding interior angles theorem∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
m∠LFG + m∠GFK = 180 ---> linear pairLearn more about angle relationship on:
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The given triangles are similar. Find x.
Answer:
9
Step-by-step explanation:
Each side is being multiplied by 1.5.
3 times 1.5 is 4.5.
7 times 1.5 is 10.5.
6 times 1.5 is 9.
Find the slope of the line.
A chef prepared 100 plates of shrimp. There were 8 shrimp on each plate. How many shrimp did the chef prepare?
Answer:
800 shrimp
Step-by-step explanation:
100 plates of shrimp
8 shrimp on each plate
100 × 8 = 800
= 800 shrimp were prepared by the chef
Hope this helps.
22 loaves of bread have 506 slices of bread how many slices of bread do 6 loaves have
Answer:
138 slices
Step-by-step explanation:
506 / 22 = 23 slices per loaf
23 x 6 = 138 slices
Renee worked a total of 16 1/5 hours last week. She spent 1/3 of that time reviewing reports. How many hours did she spend reviewing reports?
Answer:
Step-by-step explanation:
First 1 ÷ 5 ×16
= 3.2
Then 3.2 × 1 ÷ 3
= 1.06
Can someone help me please
Answer:
31.25
Step-by-step explanation:
Divide 250 by 8=31.25
The width of a rectangle is represented by 5 1 2y.
The length is twice as long as the width. What is the
perimeter of the rectangle?
Answer:
33y
Step-by-step explanation:
since the equation of perimeter for a rectangle is lengthX2 + widthX2
and the width is given to be 5 1/2y is it? If it is so then the length will be 11y since 2X5 1/2y is 11y
and the perimeter will then be calculated as so;
11yX2 + 5 1/2yX2
so it will be 22y+11y which will give you 33y
Plz help if understand this problem
This is the same as typing in 0.5x^7
Other equivalent forms are (1/2)x^7 or (x^7)/2
=====================================================
Work Shown:
[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]
I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).
Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.
The mass of a an atom of helium is 6.65 x 10−24. Use scientific notation to express the mass of 250 helium atoms. A) 1.6625 x 10−21 B) 1.6625 x 10−22 C) 1.6625 x 10−24 D) 1.6625 x 10−26
Answer: its A
Step-by-step explanation:
i know this is it
It takes 82 pounds of seed to completely plant 11 acre field. How many ponds of seed are needed per acre?
Answer:
7.5lbs
Step-by-step explanation:
82/11 = 7.45454545lbs
Rounded to 7.4lbs
Hope that helps
Answer:
7 5/11
Step-by-step explanation:
you divide 82 and 11 and you get 7.45454545
Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.
Answer:
it would be the last one
Step-by-step explanation:
lmk if you want an explanation
Chris wants to order DVDS over the internet. Each DVD costs $12.99 and shipping order costs $9.99. If he can spend no more than $100 how many DVDs can he buy?
Answer:
4
Step-by-step explanation:
I think its 4 because the max DVD's he could have bought if shipping was free was 7 but since shipping is not free,he has to equal the amount so 12.99+9.99= 22.98 and the maximum multiplication by 22.98 with the maximum number as 100 would be 91.92, thats my answer
Monica paid sales tax of $1.40 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge for the bike helmet before tax?
Divide 140 by 7 and you get 20, so Monica spent 20$ in order to pay a 1.40 sales tax
4. Tomas uses 12 gallons of water to prepare lemonade for a party. The lemonade recipe states that for every 2 quarts of water, he should add cup of lemon juice and cup 1 of sugar. How much lemon juice does Tomas need?
Answer:
Thomas will need 24 cups of lemon juice.
Step-by-step explanation:
There are 4 quarts in every gallon.
12 x 4 = 48
2 cups of lemon juice for every 2 quarts of water.
48 / 2 = 24
Hope This Helps!