Answer:
Divide 3,192 by 168.
Step-by-step explanation:
Given
[tex]y = 168x + 8[/tex]
[tex]y = 3200[/tex]
Required
Step to required to get x when [tex]y = 3200[/tex]
The first step is to substitute [tex]3200[/tex] for [tex]y[/tex]
[tex]3200 = 168 * x + 8[/tex]
Subtract both sides by 8
[tex]3192 = 168 * x[/tex]
Divide both sides 168 ---- [this answers the question]
[tex]19 = x[/tex]
[tex]x = 19[/tex]
Answer:
Divide 3,192 by 168.
Step-by-step explanation:
Divide 3,192 by 168.
Step-by-step explanation:
Given
Required
Step to required to get x when
The first step is to substitute for
Subtract both sides by 8
Divide both sides 168 ---- [this answers the question]
If f(x) = x2 – 2x, find:
f(-3) = [?]
9514 1404 393
Answer:
15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
f(-3) = (-3)² -2(-3) = 9 +6
f(-3) = 15
15
Step-by-step explanation:
f(-3)=(-3)^2 - 2(-3)
= 9 + 6 = 15
In the following distribution, P(X<2) = 0.35, and expected value is 1.9
X 0 1 2 3 4
P(X) 0.10 A 0.35 B C
Required:
a. Use the fact that P(X< 2) = 0.35 to find the value of A.
b. Determine the value of B.
c. Determine the value of C.
Solution :
We have :
X 0 1 2 3 4
P(X) 0.10 A 0.35 B C
a). P(X < 2) = 0.35
P(X < 2) = P(X = 0) + P(X = 1) = 0.35
⇒ 0.10 + A = 0.35
⇒ A = 0.25
So the value of A is 0.25
b). The total probability = 1
So ,
0.10 + A + 0.35 + B + C = 1
0.10 + 0.25 + 0.35 + B + C = 1
B + C = 1 - 0.70
B + C = 0.30 ......(i)
We have the expected value = 1.9
So, [tex]$\sum X P(X) = 19$[/tex] for x = 0, 1, 2, 3, 4
⇒ (0 x 0.10) + (1 x 0.25) + (2 x 0.35) + (3 x B) + (4 x C) = 1.9
⇒ 0 + 0.25 + 0.70 + 3B + 4C = 1.9
⇒ 3B + 4C = 1.9 - 0.95
⇒ 3B + 4C = 0.95 ...................(ii)
From (i), we take the value of B = 0.30 - C and substitute it in the equation (i), we get,
⇒ 3( 0.30 - C) + 4C = 0.95
⇒ 0.90 - 3C + 4C = 0.95
⇒ C = 0.95 - 0.90
= 0.05
Now substituting the value of C = 0.05 in (ii), we get,
⇒ B = 0.05 = 0.30
⇒ B = 0.25
c). The value of C is 0.05
If x = 82°, find the measures of angles 1, 2, and 3
Answer:
98
Step-by-step explanation:
x(o) + 1(o) = 180(o)
∠2° = ∠x°
∠1° = ∠3°
Answer:
angle 2 is 82 also and angle 3 and 4 is 180 - 82 = 98
4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each
Answer:
p=2
q=9
Step-by-step explanation:
4p+5q=53
6p+5q =57
3
5
6) through: (-3, -3), perp. to y=-**-4
5
A) y = 2x + B) y=--x+ 2
*
3
C) y=-x+2 D) y=-x+ 2
5
3
Step-by-step explanation:
answer in the image above
if someone could help me i would aprshh
Answer:
Slope: -5/4
Step-by-step explanation:
Use slope (m) formula:
m = y2 - y1 / x2 - x1
m = 5 - 10 / 49 - 45
m = -5/4
Answer:
[tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
Hi there!
Equation for the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
To find the slope of the line, plug in any two points given in the table. For example, we can use the points (49,5) and (53,0):
[tex]=\frac{5-0}{49-53}\\=\frac{5}{-4}[/tex]
Therefore, the slope of the line is [tex]-\frac{5}{4}[/tex].
I hope this helps!
14.32 × 1.2,...........
Answer:
17.18400
Step-by-step explanation:
When rounded to the nearest whole number, it's 17.
Hope this helped :)
Question
At a certain university, intramural volleyball is chosen as an activity by 50% of the student population. How likely is it that a
randomly chosen student will or will not participate in intramural volleyball?
Answer:
50%
Step-by-step explanation:
50% of the student population chooses instramural volleyball, meaning 50% doesn't. So if a random student is chosen, then it is a 50% chance that they will choose volleyball and 50% chance they won't.
3. Find the length of X (in the picture) plssss I need help.
Answer:
imagine the upper triangle as the same as the lower one, but rotated by 180° around the corner point they share, and resized.
the base of the smaller triangle is resized by a factor of 3/4.5, or reduced: 1/1.5
we just take the length from the hypotenuse of the bigger triangle and resize it to, either by multiplying with 1/1.5 or by dividing by 1.5
personally, I find the latter easier.
x = 7.5/1.5 = 5
A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)
Answer:
[tex]V=6912ft^3[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]D=40ft[/tex]
Radius [tex]r=d/2=>20ft[/tex]
Depth at south [tex]d_s=3ft[/tex]
Depth at north [tex]d_n=8ft[/tex]
Average depth of the pool
[tex]d_a=\frac{3+8}{2}[/tex]
[tex]d_a=5.5ft[/tex]
Generally the equation for Volume is mathematically given by
[tex]V=\pi r^2h[/tex]
[tex]V=3.142*(20)^25.5[/tex]
[tex]V=6912ft^3[/tex]
Use the following formula for compound interest. If P dollars is invested at an annual interest rate r (expressed as a decimal) compounded n times yearly, the amount A after t years is given by
A= P(1+ r/n)^nt
Required:
What rate of interest is required so that $1000 will yield $1900 after 5 years if the interest rate is compounded monthly?
Answer:
12.906%/year
Step-by-step explanation:
Given data
Principal= $1000
Final Amount= $1900
Time= 5 years
The compound interest formula is given as
A= P(1+ r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)1/nt - 1]
r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]
r = 0.12906
Then convert r to R as a percentage
R = r * 100
R = 0.12906 * 100
R = 12.906%/year
The difference between two numbers is 7194. If the subtrahend is 12,806, find the minuend.
Answer: The minuend is 20000
Step-by-step explanation:
To calculate the minuend, we use the equation:
[tex]\text{Subtrahend}=\text{Minuend-Difference}[/tex]
We are given:
Difference between the two numbers = 7194
Subtraend = 12806
Putting values in above equation, we get:
[tex]\text{Minuend}=12806+7194\\\\\text{Minuend}=20000[/tex]
Hence, the minuend is 20000
Question 20
A transformer has 500 turns in its primary coil and 200 in the secondary coil.
a) If an AC voltage of 220 V and frequency 50 Hz is established in the primary coil, find the voltage
and the frequency induced in the secondary coil. (2)
9514 1404 393
Answer:
88 V50 HzStep-by-step explanation:
The secondary voltage is proportional to the primary voltage. The constant of proportionality is the ratio of secondary turns to primary turns.
The secondary voltage is ...
(200/500)(220 V) = 88 V
__
A transformer does not change the frequency.* The voltage in the secondary coil is still 50 Hz.
_____
* Most transformers are designed to operate as linear devices. It is possible to design a transformer (with special core material) that operates non-linearly, and/or that is "tuned" to a frequency other than the one exciting the primary. That is, the secondary voltage may be some harmonic of the primary voltage. This would be a relatively unusual application of a transformer, beyond the apparent scope of the question here.
pls helppppppppppp it’s timedddd
Answer:
HI=15
Step-by-step explanation:
HI=sqrt(17^2-8^2)=sqrt(225)=15
P=8+15+17=40
S=8*15/2=60
Answer:
Step-by-step explanation:
for side HI
hypotenuse = 17
other two sides are 8 and HI . Hi has to be find so let it be x.
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 8^2 = 17^2
x^2 + 64 = 289
x^2 = 289 - 64
x^2 = 225
x = [tex]\sqrt{225[/tex]
x = 15
for angle G
take angle G as reference angle
using sin rule
sin G = opposite / hypotenuse
sin G = 15 / 17
sin G = 0.882
G = [tex]sin^{-1} (0.882)[/tex]
G = 61.884°
G = 61.88°
for angle I
angle G + angle H + angle I = 180 degree (being sum of interior angles of a triangle)
61.88° + 90° + angle I = 180°
151.88° + angle I =180°
angle I = 180°- 151.88°
angle I = 28.12°
Find the selling price of a $32 item after a 50% markup.
The selling price is $
Answer:
The seelijg price is $48.
Step-by-step explanation:
Markup is the amount a store adds to its cost of an item to come up with the selling price.
store cost + markup = selling price
If the markup on an item is 50%, then the store adds 50% of its cost to its cost to arrive at the selling price.
$32 + 50% of $32 =
= $32 + 0.5 * $32
= $32 + $16
= $48
Answer:
50% of 32 is 16 so it it 16$
A checker board is a square board that is divided into smaller squares, with eight squares along each side. Describe how to find the number of small squares on a checker board without counting.
Find the mean birth weight of these 29 babies
Answer:
The mean is 6.14
Step-by-step explanation:
Given
See attachment
Required
The mean
Mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]
[tex]\bar x = \frac{178}{29}[/tex]
[tex]\bar x = 6.14[/tex]
i need help plz help me
Answer:
a+2b
Step-by-step explanation:
2(a+2b)-a-2b
2a+4b-a-2b
=a+2b
Answer:
Step-by-step explana:2 ( a+ 2b) - a- 2b
=2a + 4b - a - 2b= a + 2b
Can someone help 12 points on the line
Answer:
x=6
Step-by-step explanation:
We can write this as a ratio
x 9
---- = --------
10 15
Using cross products
15x = 10*9
15x = 90
Divide by 15
15x/15 = 90/15
x =6
HELP PLEASE ASAP What is the product of any integer and -1?
Answer:
A
Step-by-step explanation:
The product is opposite of the integer
For example
2 * -1 = -2
One number is two greater than another—the product of the numbers 1s 143. Find the numbers. One pair of numbers, both of which are positive, is _____
Answer:
11 and 13
Step-by-step explanation:
The square root of 144 is 12 so the numbers must be close to that
since one number is two greater go up 1 and down 1 from 12
12 - 1 = 11
12 + 1 = 13
11 * 13 = 143
Ava was traveling in her car at 38 miles per hour (miles/h). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilometers per hour (km/h).
Answer:
Step-by-step explanation:
o.6214 miles= 1km
1 mile=1/0.6214 =(10000)/6214 km
38 miles=(10000)/6214 ×38 ≈61.1 km/hr
es urjente
Identifica los elementos de una ecuación
18 – 3x = 14x + 1 b) y – 5y + 16 = 0 c) 6m – m + 8 = 9m
Primer Miembro
Segundo Miembro
Incógnita
Coeficiente
Términos independientes
Answer:
Espera espera espera.......
primer miembro es el independiente
incógnitas es la letra literal x b y c m
coeficiente es el resultado de la división
terminos independientes son aquellos los que no tienen cualquier letra 18 16 8
Step-by-step explanation:
espero que ayude
Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines shown below, which one would be closest to the number of days overdue?
Answer: 21 days overdue
Explanation: Since her fine was same as the amount on the following day. 21 will be closest to the number of day overdue so it is 21 days.
Answer:
22
Explanation:
They are saying that it has to be the closest number to the number of days overdue, cannot be neither 10 nor 14, and it cannot be 18 because that's one day from the days it's been overdue, and the question is saying: Her fine was the same as the amount on the following day. The graph shows us that it is about 1 more day than 18, so the only reasonable answer here is 22.
Also, I got it correct on edg =)
You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to find a regression equation for the company's sales history. You find that the regression equation for the data is (sales) = 25.614*(time) + 5.499. Interpret the slope.
a. When sales increases by 1 unit, time increases by 5.499 months.
b. We are not given the dataset, so we cannot make an interpretation.
c. When sales increases by 1 unit, time increases by 25.614 months.
d. When time increases by 1 month, sales increases by 5.499 units.
e. When time increases by 1 month, sales increases by 25.614 units.
b. If you take one spin, what is your expected value?
Answer:
3/7
Step-by-step explanation:
Expected Value:
3(1/7) + 1(2/7) + 0(2/7) - 1(2/7) = 3/7
Expected value when we take one spin = 3/7
What is the expected value?It is the sum of values multiplied by their respective probabilities.
How do we calculate the expected value after one spin?We have 2 red, 2 purple, 2 yellow, and 1 blue sector.
Total number of Sectors = 7
∴Probability of landing on red sector = 2/7
∴Probability of landing on purple sector = 2/7
∴Probability of landing on yellow sector = 2/7
∴Probability of landing on blue sector = 1/7
Points on blue sector = 3, on yellow sector = 1, on purple sector = 0, and on red sector = -1.
X 3 1 0 -1
P(X) 1/7 2/7 2/7 2/7
Expected Value = ∑X.P(X)
=3.(1/7) + 1(2/7) + 0(2/7) - 1(2/7)
= 3/7
Learn more about Expected Values on
https://brainly.com/question/15858152
#SPJ2
i need to figure this out, but im d*mb.
If i can get 1000 of something for 15$, then how much can i get of it for 10$? need help asap
Answer:
666Step-by-step explanation:
1000 off ⇒ $151 off ⇒ $15/1000 = $0.015Let the required number is x, then we have:
x off ⇒ $10x * 0.015 = 10x = 10/0.015x = 666 (rounded down to whole number)Answer:
We get 666 of something in $ 10.
Step-by-step explanation:
Given that :-
We get 1000 of something for $ 15
Find that :-
How much we can get it in $ 10
Let as assume that : -
Let required number be x.Solution :-
$ 15 = $ 10
1000 = x
Using cross multiplication method
15 × x = 10 × 100 0
multiply ,
15 x = 10000
Divide each side by 15.
15 x / 15 = 10000 / 15
x = 666
A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?
Answer:
h≈2.65cm
r Radius
3
cm
V Volume
75
cm³
Using the formula
V=πr2h
Solving forh
h=V
πr2=75
π·32≈2.65258cm
hope it's help ful
Pls help I’ll brainlest
the fraction 6/10 is equivalent to which of the following? 12/24 or 24/40 or 3/6 or 16/20
Answer:
24/40
Step-by-step explanation:
You can multiply both the numerator and denominator by any number
Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.
Now since we know how to do it I'll just do the math for the rest.
Option 1:
6/10
6*2/10*2
12/20 and that doesn't match so it's wrong.
Option 2:
6/10
6*4/10*4
=
24/40
It matches so it's correct let's try option 4 just to check.
Option 4:
6/10
6*2/10*2
12/20
that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)
Answer: 24/40
