Answer:
Distance = 15 units
Step-by-step explanation:
[tex]Let \ (x_1 , y_ 1 ) = ( 0 , 7 ) \ , \ (x _ 2 , y _ 2 ) \ = ( -12 , -2 ) \\\\Dsitance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1 )^2} \\\\[/tex]
[tex]= \sqrt{(-12 - 0)^2 + ( -2 - 7)^2} \\\\=\sqrt{12^2 + 9^2 }\\\\=\sqrt{144 + 8 1} \\\\= \sqrt {225 } \\\\= 15[/tex]
Answer:
( 12 , - 10 )
Step-by-step explanation:
Difference between the x points : 0 - ( - 12 ) = 12
Difference between the y points : - 12 - ( - 2 ) = -10
There fore the difference ( 12 , - 10 )
Hopefully this is what you mean
Have a nice day !
Cardiovascular disease is a major cause of death and illness worldwide, with high blood pressure and high LDL cholesterol both being established risk factors. Because most cardiovascular events occur in persons with average risk factors. Because most cardiovascular events occur in persons with average risk and no previous cardiovascular disease history, the present research examined the simultaneous use of both blood pressure reducing drugs and cholesterol reducing drugs on this population, rather than focusing on only those on only those at high risk. Subjects included men at least 5 years old and women at least 6565 years old without cardiovascular disease who had at least one additional risk factor besides age, such as recent or current smoking, hypertension, or family history of premature coronary heart disease. Those with current cardiovascular disease were excluded from the study. Subjects were randomly assigned to the treatment (cholesterol and blood pressure reducing drugs) or a placebo, and the number suffering the primary outcome of a fatal cardiovascular event, a nonfatal myocardial infarction or a nonfatal stroke, were observed. Provided are the results for the two groups over the course of the study:
Group Sample size Number experiencing primary outcome
Treatment 3180 113
Placebo 3168 157
Let p1 be the proportion experiencing the primary outcome with the treatment and p2 the proportion without the treatment. Select the correct pair of hypotheses.
a. H0:p1=p2 versus Ha:p1â p2 .
b. H0:p1=p2 versus Ha:p1>p2 .
c. H0:p1=p2 versus Ha:p1
d. None of the options are correct.
Answer:
H0: p1=p2 versus Ha:p1≠p2
Step-by-step explanation:
Let p1 be the proportion experiencing the primary outcome with the treatment and p2 the proportion without the treatment.
We want to determine whether the proportion of persons having the treatment suffering the primary outcome of a fatal cardiovascular event is equal to the proportion of people without the treatment suffering the primary outcome of a fatal cardiovascular event.
The hypothesis is based on the study under observation. The claim is set as the alternate hypothesis.
The null and alternate hypotheses are
H0: p1=p2 versus Ha:p1≠p2
Both proportion ( with and without treatment ) are same
against the claim
Both proportion ( with and without treatment ) are not the same .
Option which gives the answer
H0: p1=p2 versus Ha:p1≠p2
is the best option.
14x^2y+4x-7xy-2=(2x-1)
Answer:
(2x -1) (7xy+2)
Step-by-step explanation:
Rewrite the equation as follows:
(14x^2y - 7xy) + (4x -2)
Factor 7xy from the first term and 2 from the second term:
7xy(2x -1 ) + 2 ( 2x -1)
Factor (2x-1) from each term to get
(2x -1) ( 7xy + 2)
You can multiply this out to verify the answer.
Math Lab Review Work
1. Macy's is having their family and friends' sale. They are having 80% off everything. Janyla says
that she can find the sale price of an item that has a regular price of p by evaluating the
expression 0:20p. Nalia says that she can find the sale price for the same item by evaluating the
expression p-0.80p. Who is correct? (Hint: Substitute a value for p. Use the same number for
both expressions to see if you get the same answer
1 Pt
A) Neither
B) Both
C) Janyla
D) Nalia
A
B
0
D
E
Answer:
I think it C because I know that Nalia isn't correct so it's not D or B.
Which equals the product of (x-3)(2x + 1)? 222 – 7x - 3 22 – 5x - 3 3x = 2 6,2
Answer:
.
Step-by-step explanation:
[tex]2 {x}^{2} - 5x - 3[/tex]
How many solutions exist for the system of equations graphed below?
none
one
two
infinitely many
Answer:
no solutions
Step-by-step explanation:
The lines are parallel and never intersect. The solutions occur when the lines intersect, so there are no solutions
The system of equations which is graphed have no solution.
What is system of linear equations?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
A system of linear equation has only one solution when the graphs intersect at a point.A system of linear equation has no solution when the graph are parallel.A system of linear equation has infinite solutions when the graph are the exact same.According to the given question.
We have a graph.
In the given graph the two lines are drawn, which are parallel to each other. So, they don't have a common point.
Therefore, the system of equations which is graphed have no solution.
Find out more information about system of equations here:
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A regular hexagon of side 8 cm is given. the hexagon is devided into 6 congruent triangles . calculate the area of the hexagonal
Answer:
96√3 cm^2
Step-by-step explanation:
half base = 4 cm
height of each triangle = 4√3 cm
Area of each triangle
(8 * 4√3)/2 = 16√3 cm^2
area of the hexagonal = 16√3 * 6 = 96√3 cm^2
please please pleaseee help asapppp
Answer:
Step-by-step explanation:
volume of a cylinder=πr^2h
=π*5^2*15
=π*25*15
=375π cm^3
Volume of a cylinder = πr^2h
→ π × 5^2 × 15
→ π × 25 × 15
→ 375π cm^3
What is the value of x
Answer:
Step-by-step explanation:
115+94+107+2x=360 degree(sum of interior angles of four angles is always 360 degree)
316+2x=360
2x=360-316
x=44/2
x=22 degree
X-9=13 what should be done to solve the following equation
Answer:
X=22
Step-by-step explanation:
add 9 to both sides
X-9+9=13+9
X=22
show ur solving please
Solve the separable differential equation. (Use C for any needed constant.)
du/dt = (1 + u)(7 + t)
Answer:
[tex]ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]
Step-by-step explanation:
[tex]integral( \frac{1}{1 + u} )du = \\ integral(7 + t)dt[/tex]
[tex] ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]
Which number completes the table?
n
63
91
119
147
n7
9
?
21
Answer:
The answer is 13.
Step-by-step explanation:
n ÷ 7
= 91 ÷ 7
=13
How much dog food would fit in a into a can with a height of 15.5 cm and a diameter of 10 cm?
Answer:
depends on the size of the food
Step-by-step explanation:
Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know whether the demands for these two types of computers are dependent on one another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-High, or High. The data shown in the table below is based on 205 days of operation. Based on these data, can ? Test at the 5% level of significance.
low med-low med-high high
low 4 15 14 3 36
laptops med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
30 65 57 53 205
Required:
a. What is the test value for this hypothesis test?
b. What is the conclusion for this hypothesis test?
Answer:
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance.
Step-by-step explanation:
As we have to test the independence of the two categories the chi square of independence test is applied.
Let the null and alternate hypotheses be
H0 :The demand for each type of computers is independent
against the claim
Ha: The demand for each type of computers is not independent i.e they are associated.
The significance level alpha is chosen to be 0.05
The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is
χ²≥ χ²(0.05,9)= 16.92
Actual Data
low med-low med-high high Total
low 4 15 14 3 36
med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
Total 30 65 57 53 205
Expected Frequencies
low- low = 30*36/205= 5.27
low- med.low = 65*36/205 = 11.41
low- medium high = 57*36/205= 10.009
low- high = 53*36/205 =9.31
medium low- low = 30*65/205 = 9.51
medium low- med.low = 65*65/205= 20.61
medium low- medium high = 57*65/205= 18.073
medium low- high = 53*65/205= 16.80
medium high- low = 30*57/205= 8.34
medium high- med.low = 65*57/205= 18.07
medium high- medium high = 57*57/205= 15.85
medium high- high = 53*57/205= 14.74
high- low = 30*53/205= 7.76
high- med.low = 65*53/205= 16.80
high- medium high = 57*53/205= 14.74
high- high = 53*53/205= 13.70
Summarizing in a table
Expected Frequencies
low med-low med-high high Total
low 5.27 11.41 10.009 9.31 35.999
med-low 9.51 20.61 18.073 16.8 64.993
med-high 8.34 18.07 15.85 14.74 57
high 7.76 16.8 14.74 13.7 53
Total 30.88 66.89 58.672 54.55 210.992
Using Excel
The Chi Square Values are
0.062823
0.270857
0.159572
0.735995791
1.229247532
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance,
What is mortgage of a 400000.00 loan at 6% 30 year fixed
9514 1404 393
Answer:
$2398.20
Step-by-step explanation:
Perhaps you want the monthly payment. It is given by the amortization formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.
Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.
A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20
Write the trigonometric ratio as a fraction. Find the missing angles.
sin D = cosF=m
Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Sin D = Opp/Hyp
Opposite = 7
Hypotenuse = 25
Substitute:
Sin D = 7/25
[tex] D = sin^{-1}(\frac{7}{25}) [/tex]
m<D = 16.3°
✔️Cos F = Adj/Hyp
Adjacent = 7
Hypotenuse = 25
Substitute:
Cos F = 7/25
[tex] F = cos^{-1}(\frac{7}{25}) [/tex]
m<D = 73.7°
Please help guys for these 2 questions
Answer:
question 11 ans = $2.2
question 12 ans = 4
Two trains leave stations 416 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Answer:
2.6 hours
Step-by-step explanation:
75+85
160x/160= 416/160
=2.6
the profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit
4 pairs
5 pairs
6 pairs
7 pairs
Answer:
A
Step-by-step explanation:
The profit for selling x pairs of shoes is given by:
[tex]P(x)=-4x^2+32x-39[/tex]
And we want to determine the number of pairs that needs to be sold in order to maximize profit.
Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex point. The x-coordinate of the vertex of a quadratic is given by:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -4, b = 32, and c = -39. Substitute and evaluate:
[tex]\displaystyle x=-\frac{(32)}{2(-4)}=\frac{32}{8}=4[/tex]
So, in order to maximize profit, only four pairs of sohoes should be sold.
Our answer is A.
Answer:
A
Step-by-step explanation:
a) What is l01% of 57 and what is 10% of the answer?
b) What is 3% of 50 and then add it to 300% of 50.
Please show workings for points.
Answer:
Part A)
57.57 ; 5.757
Part B)
3% of 50 is 1.5.
300% of 50 is 150.
Together, they add to 151.5.
Step-by-step explanation:
To find something "of" something, we can multiply the two values.
A)
To find 101% of 57, we will multiply the two values. Hence:
[tex]101\%(57)=1.01(57)=57.57[/tex]
And 10% of that will be:
[tex]10\%(57.57)=0.1(57.57)=5.757[/tex]
B)
First, find 3% of 50:
[tex]3\%(50)=0.03(50)=1.5[/tex]
Next, we can find 300% of 50:
[tex]300\%(50) = 3(50)=150[/tex]
Finally, add:
[tex]\Rightarrow 1.5+150=151.5[/tex]
Please answer ai i pray toyou ai brainly 5+5f-6=7
Answer:
f = 1.6
Step-by-step explanation:
Answer:
f = 8/5
Step-by-step explanation:
[tex]5 + 5f - 6 = 7\\5f - 1 = 7\\5f = 7 + 1 \\5f = 8\\\\f = \frac{8}{5}[/tex]
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
Answer:
Step-by-step explanation:
We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:
[tex]-16t^2+112t>192[/tex] We will move the constant over and get
[tex]-16t^2+112t-192>0[/tex] and when you factor this you get that
3 < t < 4
Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.
Answer:
its A
Step-by-step explanation:
got it right
Sqrt 15(3+5) = Sqrt3+ sqrt 5
Answer:
False
Step-by-step explanation:
Assuming a and b are 2 different terms,
Sqrt a + Sqrt b is not equal to Sqrt (a * b).
The only way to obtain Sqrt (a * b) is by doing the following:
Sqrt (a * b) = Sqrt (a) * Sqrt (b)
Given the expenses below, what is the yearly total of estimated expenses? Rent: $1,380 per month; Transportation: $405 per month; Clothing: $643 per year, Food: $65 per
week; Savings: $90 per week; Utilities: $395 per month; Recreation/Entertainment: $80 per week
$34,876
$35,457
$36,995
$39,023
None of these choices are correct.
Answer:35457$
Step-by-step explanation:
qowiufrasjofjoqjOASIEJKDJF
IOVAJ
Which given statement is also true— ?
Answer:
give brainllest if right
c
Step-by-step explanation:
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.
Answer:
for the lengths, just double the numbrrs
1.5 -> 3
2.5 -> 5
bc the scale factor is two (the upper edge is given)
the angles are just the same, no matter the zoom factor
There are two polygons where B is greater than A.
One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.
So, the scale factor is
[tex]\dfrac{5}{2.5}=2[/tex]
So, the missing sides in polygon B are
[tex]1.5\times2=3[/tex]
[tex]2.5\times 2=5[/tex]
The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.
So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].
Learn more:
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The 18 students in Ms. Sara's class picked 660 strawberries at a strawberry patch during their field trip. If they share them equally, how many whole strawberries can each student have
Answer:
36
Step-by-step explanation:
Since there are 18 students in the class and they picked 660 strawberries, you divided 660 by 18, giving you a quotient of 36.6666667. Since the question asks for how many whole strawberries each student can have, the answer is 36.
Answer:
36
Step-by-step explanation:
Có ba kiện hàng, mỗi kiện có 20 sp. Số sp loại I trong 3 kiện lần lượt là 14, 15, 16. Chọn ngẫu nhiên 1 kiện và từ kiện đó chọn ngẫu nhiên 3 sp.
a. Tính xác suất để 3 sp được chọn là sp loại I.
b. Giả sử đã chọn được 3 sp loại I. Tính xác suất để 3 sp loại I này thuộc kiện thứ nhất.
What is the answer to this question?
Jessica has 3 cards in a bag, each marked with a letter. The letters are X, Y , and
Z. Without looking, she reaches into the bag, pulls out a card, and then puts the card
back in the bag. If Jessica does this 3 times, what is the probability she pulls out the
X card first, then the Y card, and then the Z card?
1/27
Step-by-step explanation:
get one card is 1/3 so you do 1/3x1/3x1/3