Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
y = -2x + 2 y = 5x + 9
Suppose the following tables present the number of specimens that tested positive for Type A and Type B influenza in a country during a flu season. Type A 38 100 186 199 253 380 595 966 1611 2638 3845 4931 5183 5367 5890 Type B 59 95 116 143 156 225 271 366 495 696 851 1060 1140 1101 1202 Send data to Excel (a) Find the mean and median number of Type A cases. Round the answers to at least one decimal place. (b) Find the mean and median number of Type B cases. Round the answers to at least one decimal place. (c) A public health official says that there are more than twice as many cases of Type A influenza than Type B. Do these data support this claim
Answer:
(a) Mean and Median of type A
[tex]\bar x = 2145.47[/tex]
[tex]Median = 966[/tex]
(b) Mean and Median of type B
[tex]\bar x = 531.73[/tex]
[tex]Median = 366[/tex]
(c) The claim by the public health worker is true.
Step-by-step explanation:
Given
[tex]Type\ A: 38\ 100\ 186\ 199\ 253\ 380\ 595\ 966\ 1611\ 2638\ 3845\ 4931\ 5183\ 5367\ 5890[/tex]
[tex]Type\ B: 59\ 95\ 116\ 143\ 156\ 225\ 271\ 366\ 495\ 696\ 851\ 1060\ 1140\ 1101\ 1202[/tex]
[tex]n = 15[/tex]
Solving (a): The mean and median of A.
Mean is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{38 +100 +186 +199+ 253+ 380+ 595+ 966 +1611 +2638 +3845+ 4931+ 5183 +5367 +5890 }{15}[/tex]
[tex]\bar x = \frac{32182}{15}[/tex]
[tex]\bar x = 2145.47[/tex]
The median is calculated using:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{15+1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item is: 966
So:
[tex]Median = 966[/tex]
Solving (b): The mean and median of B.
Mean is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{59 +95 +116+ 143+ 156+ 225+ 271+ 366+ 495 +696+ 851+ 1060+ 1140 +1101+ 1202}{15}[/tex]
[tex]\bar x = \frac{7976}{15}[/tex]
[tex]\bar x = 531.73[/tex]
The median is calculated using:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{15+1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item is: 366
So:
[tex]Median = 366[/tex]
(c) The claim by the public health worker is true.
To do this, we simply compare the mean value of both types.
For Type A
[tex]\bar x = 2145.47[/tex]
For Type B
[tex]\bar x = 531.73[/tex]
The claim is:
[tex]Type\ A > 2 * Type B[/tex]
[tex]2145.47 > 2 * 531.73[/tex]
[tex]2145.47 > 1063.46[/tex]
Since the inequality is true, then the claim is true
F(x) = 2x^3 + 5x^2 -6x-7 g(x) = 2x-3 find (f - g) (x)
Given:
The function are:
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
To find:
The function (f-g)(x).
Solution:
We have,
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
We need find (f-g)(x).
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-(2x-3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-2x+3[/tex]
On combining like terms, we get
[tex](f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-8x-4[/tex]
Therefore, the correct option is B.
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Which equation shows the rate, r, in miles per hour, the family must drive to reach their
grandmother's house in 4 hours?
4r + 350 = 550
550 + 350 = 4r
4++ 350 = 550
T
550 - 350
Answer:
i tink is b
Step-by-step explanation:
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Let 'r' be the speed of the car in miles per hour. The family must drive to reach their grandmother's house in 4 hours. Then the equation is given as,
4r + 350 = 550
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ5
5m - 4z + 8m + 3 – 2z
Answer:
Step-by-step explanation:
5m+8m= 13m
-4z-2z= -6z
+3
= 13m-6z+3
Answer:
13m - 6z + 3
Step-by-step explanation:
On Sunday, Antonio spent total of 3/1/4 hours driving and 1/3/4 hours gardening. How much longer did he spend driving write your answer as a mixed number.
Answer:
poopjdjdjdjdndiddnr ddjdididndndnddndndjx
Step-by-step explanation:
poop kdfkdkddkejdfjdidjs didneidndzusnxixdn
1 1/2 hours
Time spent by Antonio in driving = 3 1/4 = 13/4
Time spent in gardening = 1 3/4 = 7/4
In order to find how much he spend driving than gardening, we can subtract 13/4 and 7/4.
13/4 - 7/4
Te denominator is same. So, we can directly subtract the numerators.
13-7/4
=6/4
= 3/2 = 1 1/2
Therefore, Antonio spent 1 1/2 hours more in driving than gardening.
Help me please guys.
Find the measure of angle b using the law of sines.
I need to show full work to the teacher
PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can
Answer:
the first answer is 104 square units
I forgot how to answer the surface area for the second prism sorry.
Step-by-step explanation:
If 4 points are Collinear, they are also coplanar
Answer:
that is true
Step-by-step explanation:
Chad's bedroom floor is 18 feet long and 13 feet wide. He has an area rug on his floor that is 2 feet long and 8 feet wide.
Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.
A Add 18 × 13 and 2 × 8.
B Add 18 + 13 + 2 + 8.
C Subtract 18 × 13 from 2 × 8.
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
F Subtract 13 × 8 from 18 × 2.
9514 1404 393
Answer:
D Subtract 2 × 8 from 18 × 13.E Subtract 16 from 18 × 13.Step-by-step explanation:
To find the area not covered, the rug area must be subtracted from the floor area. Each of those areas is the product of their respective dimensions. The statements describing that subtraction are ...
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
Here are eight angles. Which of these angles are acute angles?
Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are acute, type A, B, F.
Please help me!
Answer:a and b
Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C
álgebra II. Help please...
Answer:
See below
Step-by-step explanation:
The domain of [tex]f[/tex] is non-negative real numbers, and the domain of [tex]g[/tex] is real numbers.
[tex](f\circ g)(x) = 2\sqrt{2}|x|^5[/tex] (I skipped calculation details), so [tex](f\circ g)(9) = 2 \sqrt{2} \cdot 9^5[/tex].
pls help me:(!!!!!!!!!!
Answer:
A.........................
Expand and simply x(x-3)(x+5)
Answer:
x³ + 2x² -15x
Step-by-step explanation:
Hope it helps
Solve 1/6 + 3/4
help pls
Answer:
11/12
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
2/12 + 9/12 = 11/12
Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 3 years
3 years: 1,591.81 or 1,592
4 years: 1,623.65 or 1,624
Given that x is an integer and that –15 <x 5 35,
write down the least value of x.
Answer:
a) d = 3 b) a(n) = 3n – 13 c) a(27) = 68
Step-by-step explanation:
solutions are (x, y) = (29,13) and (9349, 4181), which lead to (a, b) = (15,5) and (4895 ... corresponding to integer values of x give the quadruples. (x, y, z ... Since no number congruent to 3, modulo 4, can be written as the sum of two squares ... k is odd, the equation x2 - (k2 - 4)y2 = 4 has smallest solution in positive integers .
T2.T?
5.
UJU.4J
A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]
9514 1404 393
Answer:
63
Step-by-step explanation:
Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.
The number is 63.
_____
If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.
original number value = 10x +y
reversed number value = 10y +x
difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)
The tens digit is twice the ones digit, so we have ...
x = 2y
Substituting in the difference equation, we have ...
27 = 9(x -y)
3 = (2y -y) = y . . . . . divide by 9, substitute for x
x = 2(3) = 6
The number is 10x+y = 63.
What are the simplest polynomial and rational function you can imagine?
f(x) = 1/x
for rational function
If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.
Answer:
Step-by-step explanation:
First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.
14sqrt(2) = sqrt392
Use the definition of sine to find the value of a
sin(45) = opposite/hypotenuse = a/sqrt392
[tex]sin(45)=\frac{a}{\sqrt{392} }[/tex]
a = 14
What is the size of a elephants trunk?
Answer: An elephant’s trunk is usually around 6 feet in length, but can be up to 7 feet long. The trunk alone can weigh as much as 140 kg and can hold 12 litres of water. How fast do elephants run? Elephants can run faster than you would expect, easily reaching speeds of 40 mph - a lot faster than us humans can run!
Step-by-step explanation:
What is the answer please help if good at math
Answer:
A
Step-by-step explanation:
Evaluate −6 − (−4). (10 point)
−10
−2
24
2
Answer: negative 2 (-2)
Step-by-step explanation:-6+4=-2
Answer:
−2
Step-by-step explanation:
−6 − (−4)
= −6 − (−4)
= −6 + 4
= −2
Solve the inequality
10<3x+19
Answer:
The answer is ->
x>-3
The account title are:
No journal entry required, cash, accounts receivable, office supplies, prepaid rent, prepaid insurance, office equipment, accumulated depreciation - office equipment, accounts payable, notes payable, unearned revenue, common stock, dividends, services revenue, utilities expense.
Please help me solve this
Answer:
Cash 107000
Office equipment 30500
Common stock 137500
Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
Answer:
C=.65n
Step-by-step explanation:
It costs 2.60 for 4 lbs of apples. For it to be 1 pound of apples it would cost 0.65 cents
So in all the cost is 0.65 cents for (n) or 1 pound of apples.
Answer:
c is or the apples n is for the pound of that apples
Step-by-step explanation:
14). Deconstruct to find the area of the figure below 10 ft. 14 ft.
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
3 is an element in the domain of the function g(x)= -2x - 4 . What is the corresponding element in the range?
Hello! :)
[tex]\large\boxed{g(3) = -10}[/tex]
If 3 is apart of the domain, then x = 3.
The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:
g(x) = -2x - 4
g(3) = -2(3) - 4
Simplify:
g(3) = -6 - 4
g(3) = -10
x-10= 30 Which value of x makes the equation true
Solve the equation
v-5/6=-7/8
