40.96 mm
3.2(10) = 32; 3.2 cm → 32 mm
each side of scale drawing is 32 mm
2(10) = 20; 2 cm → 20 mm
scale is 4 mm to 20 mm
[tex]\frac{4}{20}= \frac{x}{32}[/tex]
cross-multiply:
32(4) = 128
128 / 20 = 6.4
each side of the actual drawing is 6.4 mm.
6.4 * 6.4 = 40.96
40.96 mm
40.96 mm
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that the scaling of drawing is 4mm to 2cm of actual drawing and the scaled drawing side of square earring is 3.2cm.
Now, corelating the scale given which means for 1mm of actual side of earring the drawing scale is 0.5 cm or 5mm. Therefore, for having 3.2 cm of side of earring in drawing let [tex]x[/tex] be the actual side this is calculated below :
[tex]\begin{aligned}20 \text{mm}&\rightarrow 4\text{mm}\\32\text{mm}&\rightarrow x\text{\:mm}\\\frac{4}{20}&=\frac{x}{32}\\x&=6.4 \text{mm}\end{aligned}[/tex]
Now, the actual side of earring is 6.4 mm therefore, the area of the front of earring will be : 6.4 mm x 6.4 mm =40.96 mm
Read more about ratio at:
https://brainly.in/question/1239848
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Solve for x: 13x + 12] = 18
O = x
X = 2, X = -10
O x = 2, x = -2
O x = 10, x = -10
X = -2, x = 10
Answer = x= 0
Step-by-step explanation:
Please help me, answer in this format
6 - 4x = 6x - 8x + 2
6 - 4x = ___ + 2
6 = ___ + 2
___ = ___
___ = x
Answer:
6 − 4 x = 6 x − 8 x − 2 Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
6 x − 8 x − 2 = 6− 4 x Subtract 8 x from 6 x . − 2 x − 2 = 6 − 4 x
Move all terms containing x
to the left side of the equation.
Tap for fewer steps...
Add 4 x
to both sides of the equation.
− 2 x − 2 + 4 x = 6 Add − 2 x and 4 x . 2 x − 2 = 6
Move all terms not containing
x to the right side of the equation.
Tap for fewer steps...
Add 2
to both sides of the equation.
2 x = 6 + 2 Add 6 and 2 . 2 x = 8
Divide each term by
2 and simplify.
Tap for fewer steps...
Divide each term in
2 x = 8 by 2 . 2 x 2 = 8 2 Cancel the common factor of
2 . Tap for more steps...
x = 8 2 Divide 8 by 2 .
x = 4
What is the standard form of the number shown in this calculator display?
The calculator shows five point nine three e negative five
Answer:
The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.
Step-by-step explanation:
hope this helped ✨
Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).
Answer:
10x+23 (pretty sure) and the * means multiply
Step-by-step explanation:
[tex]12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23[/tex]
Suppose that a company's profit (in terms of q, the number of units sold) is given by the model
P(q) = 4q2 + 241q - 530. Find the profit when 20 units are sold.
Answer: P =
dollars.
cómo se escribe el número 88,317
Answer:
ochenta y ocho mil trescientos diecisiete
Step-by-step explanation:
eighty-eight thousand three hundred seventeen
Answer:
80,000 + 8,000 + 300 + 10 + 7
eighty-eight thousand three hundred seventeen
Step-by-step explanation:
hola <3 espero que haya ayudado
Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer
Answer:
100 is a cool number
Step-by-step explanation:
i also ate a rock
As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.
Which of the following described (5+5) in the expression above?
Answer:
10
Step-by-step explanation:
its 5+5
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probability that the number of particles withdrawn will be between 235 and 265? b. What is the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52? c. If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 48 and 52? d. How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 48 and 52 with probability 95%?
Answer:
(a) 0.6579
(b) 0.2961
(c) 0.3108
(d) 240
Step-by-step explanation:
The random variable X can be defined as the number of particles in a suspension.
The concentration of particles in a suspension is 50 per ml.
Then in 5 mL volume of the suspension the number of particles will be,
5 × 50 = 250.
The random variable X thus follows a Poisson distribution with parameter, λ = 250.
The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.
The mean of the approximated distribution of X is:
μ = λ = 250
The standard deviation of the approximated distribution of X is:
σ = √λ = √250 = 15.8114
Thus, [tex]X\sim N(250, 250)[/tex]
(a)
Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:
[tex]P(235<X<265)=P(\frac{235-250}{15.8114}<\frac{X-\mu}{\sigma}<\frac{265-250}{15.8114})[/tex]
[tex]=P(-0.95<Z<0.95)\\=P(Z<0.95)-P(Z<-0.95)\\=P(Z<0.95)-[1-P(Z<0.95)]\\=2P(Z<0.95)-1\\=(2\times 0.82894)-1\\=0.65788\\\approx 0.6579[/tex]
Thus, the value of P (235 < X < 265) = 0.6579.
(b)
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{5}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{5}})[/tex]
[tex]=P(-0.28<Z<0.28)\\=P(Z<0.28)-P(Z<-0.28)\\=P(Z<0.28)-[1-P(Z<0.28)]\\=2P(Z<0.28)-1\\=(2\times 0.64803)-1\\=0.29606\\\approx 0.2961[/tex]
Thus, the value of [tex]P(48<\bar X<52)=0.2961[/tex].
(c)
A 10 mL sample is withdrawn.
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{10}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{10}})[/tex]
[tex]=P(-0.40<Z<0.40)\\=P(Z<0.40)-P(Z<-0.40)\\=P(Z<0.40)-[1-P(Z<0.40)]\\=2P(Z<0.40)-1\\=(2\times 0.65542)-1\\=0.31084\\\approx 0.3108[/tex]
Thus, the value of [tex]P(48<\bar X<52)=0.3108[/tex].
(d)
Let the sample size be n.
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{n}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{n}})[/tex]
[tex]0.95=P(-z<Z<z)\\0.95=P(Z<z)-P(Z<-z)\\0.95=P(Z<z)-[1-P(Z<z)]\\0.95=2P(Z<z)-1\\P(Z<z)=\frac{1.95}{2}\\\\P(Z<z)=0.975[/tex]
The value of z for this probability is,
z = 1.96
Compute the value of n as follows:
[tex]z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241[/tex]
Thus, the sample selected must be of size 240.
Is the function even, odd, or neither?
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.
In all other cases, the function is "neither even nor odd".
Let's see what this looks like in action:
Determine algebraically whether f (x) = –3x2 + 4 is even, odd, or neither.
If I graph this, I will see that this is "symmetric about the y-axis"; in other words, whatever the graph is doing on one side of the y-axis is mirrored on the other side:
graph of y = –3x^2 + 4
This mirroring about the y-axis is a hallmark of even functions.
Also, I note that the exponents on all of the terms are even — the exponent on the constant term being zero: 4x0 = 4 × 1 = 4. These are helpful clues that strongly suggest to me that I've got an even function here.
But the question asks me to make the determination algebraically, which means that I need to do the algebra.
So I'll plug –x in for x, and simplify:
f (–x) = –3(–x)2 + 4
= –3(x2) + 4
= –3x2 + 4
I can see, by comparing the original function with my final result above, that I've got a match, which means that:
f (x) is even
A wildlife biologist examines frogs for a genetic trait that is linked to sensitivity to an industrial toxin in the environment. Suppose exposure to the toxin tends to increase the prevalence of the genetic trait in the population of frogs. Previous research has established that this trait is usually found in about 2/10 of all frogs in a `clean' environment. Suppose a location is suspected of contamination. A sample of 10 frogs are collected, then examined for the genetic trait. We are asked to interpret the data collected and determine whether there is evidence suggesting contamination. What is the fewest number of frogs in the sample with the trait (number of successes) for which we can conclude the area is contaminated?
Answer:
3
Step-by-step explanation:
Usually, when there is contamination the smallest amount can have huge ramifications in the data collected. In this scenario, if in a "clean" environment the trait is found in 2/10 frogs then anything above this number should be considered contaminated. This is because data above this ratio would be considered uncommon or rare and this unique occurrence can be most likely tied to the only new factor which would be the contamination. Therefore the minimum number of frogs with this trait in the sample would be 3.
Write the equation of a line in the given form.
The line through (4,-4) and (0,-5) in SLOPE INTERCEPT form
Answer:
[tex]y = \frac{1}{4}x - 5[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b
[tex]-5 = \frac{1}{4}(0) + b[/tex]
b = -5
Now use the above slope and y intercept to create equation of a line:
[tex]y = \frac{1}{4}x - 5[/tex]
What angle would it be?
Answer:
Corresponding Angles
Step-by-step explanation:
Question 5 (1 point)
A rectangle has a length of x + 7 and a width of x - 2. Write an
equation that describes the area, A, of the rectangle in terms of
Ob
A = 2x + 5
A = x2
+ 9x - 14
A = 2x + 9
ос
Od
A=x²+.
= x + 5x – 14
Answer:
A = x^2 + 5x - 14
Step-by-step explanation:
A = L × W
A = (x+7) × (x-2)
A = x^2 + 7x - 2x - 14
The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1
miles.
Answer:
60.15 km
Step-by-step explanation:
If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation
6 km -> 4 mi
x km -> 40.1 mi
Where x km is the length on the map we're looking for. If we cross multiply
6 * 40.1 = 4x
240.6 = 4x
x = 240.6/4
x = 60.15 km.
That is the length we're looking for
what is the reciprocal of 5 3/7
Answer: 7/38
Step-by-step explanation:
So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)
Hope this helps!
hi please help ): picture is included
Answer:
a
Step-by-step explanation:
the over all total equals 200 and you can not subtract the 2 variables to get the total you have to add them
Help - I need the range for the graph
Answer:
4, 11
Step-by-step explanation:
The lowest y value is 0, the highest value is 11
PLEASE HELP ME OUT!!!
Luna's retirement party will cost $630 if she invites 21 guests. What is the maximum number of guests there can be if Luna can afford to spend a total of $780 on her retirement party? Assume the relationship is directly proportional.
Answer:
The maximum number of guests for $780 would be 26.
Step-by-step explanation:
Write and solve an equation of ratios. In the first column write $630/$780; in the right column write 21/x:
630 21
---------- = -------
780 x
Cross-multiplying, we get 630x = 21(780), which yields x = 26.
The maximum number of guests for $780 would be 26.
4 lb 4 oz – 2 lb 7 oz
A. 1 lb 13 oz
B. 2 lb 13 oz
C. 2 lb 3 oz
Answer:
a 1lb 13 oz
Step-by-step explanation:
1 lb= 16 oz. convert to oz. 68oz - 39oz = 29 oz. vconvert back to lbs.= 1 lb 13 oz.
I need help with 35-38 please!!!
Answer:
-3
Step-by-step explanation:
For each of the following eight exercises, identify:
a. the population,
b. the sample,
c. the parameter,
d. the statistic,
e. the variable, and
f. the data.
Give examples where appropriate. 42.
A fitness center is interested in the mean amount of time a client exercises in the center each week. 43. Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.
Answer and explanation:
42. Statistic :A fitness center is interested in the mean amount of time a client exercises in the center each week
Statistic:the mean amount of time is an example of a statistic
Population:
43. Parameter :Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.
Parameter: this is a number or measurable quantity that sets a condition, boundary or limit or scope such as the age in which children start snowboarding
What is the missing number in each circle?
b
2:3:5 = ○ : 9 : ○
Answer:
7 and. 10 uvbuv7cycyyccu xxx yxr x rxytscc6vucc ttyl j
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship?
Answer:
C
Step-by-step explanation:
The points in C, when graphed, have a positive slope as well as going up or down by the same amount each time
-3-2=-5-2=-7
5-2=3-2=1
help help pls plz pls fast pls
Answer:
The third one
Step-by-step explanation:
Answer:
Hey mate......
Step-by-step explanation:
The third option is the correct one....
hope it helps,
mark me as the brainliest.....
follow me.....
Enter the sum of numbers as a product of their GCF.
30 + 36
The sum of the numbers as a product of their GCF is
Their GCF is 6 and the sum is 66
Step-by-step explanation:
Solve the equation 3(x+1 )-2=x+5
Answer:
x=2
Step-by-step explanation:
first, let's distribute.
3(x+1)-2=x+5
3x+3-2=x+5
then, let's combine like terms.
3x+1=x+5
now, we subtract x on both sides.
2x+1=5
subtract 1 on both sides.
2x=4
divide by 2 on both sides.
x=2
0.00000512 in scientific notation
Answer:
5.12 x 10 -6
Step-by-step explanation: I’m pretty sure
