Answer: 600 mm
Step-by-step explanation:
Let height of her model be x meters
So,
500x = 300
[tex]\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}[/tex]
Therefore, Stacy's model is 600 millimeters tall
which best represents the relationship between x and y
y=2x
y=x+2
y=4x
y=x+4
Answer:
In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is two more than the value of x.
Same for the y=4x and y=x+4, just plug the numbers into the sentence.
Step-by-step explanation:
Danielle needs to walk three miles, if she wants to reach her destination in 45 minutes (3/4 hour), how fast does she need to walk?
1 mile per every 15 minutes
or 4 mph
A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be
exchanged for 2 small action figures. The boy wants 4 times as many small action figures as
large action figures. Based on this information, can the boy get 80 small action figures?
Answer:
yes the boy can get 80 small action figures
Answer:
Yes
Step-by-step explanation:
Given
380 tickets in possession5 tickets → large action fig.7 tickets → 2 small action fig.Boy wants 4 times small action fig. as large action fig.Solving
We need to find if he can get 80 small fig.S = 805L + 7(2S) = 3805L + 280 = 3805L = 100L = 20Now, our condition was that : [number of small fig. = 4 x number of large fig.]80 (small) = 4 x 20 (large) [∴ verified]⇒ He can get 80 small action figuresWhat is equivalent to24.02
Answer:
Fraction 24 2/100 which equals 24 1/50 OR in decimal form 24.020
Step-by-step explanation:
Hope this helps! :)
In the equation 3s +135= 4.5 (s +10) what is s
Which point is located at (–0.50, –1.25)?
Point
Answer:
Hopefully, this helps you!!
:3
Here's a graph!
Have a great day!!
[tex]Sokkachan[/tex]
Answer:
Point W
Step-by-step explanation:
Peter went to a store. He bought 6.4 pounds of onions, potatoes, and hamburger. If 1.18 pounds was hamburger and 4.75 pounds were potatoes, how many pounds of onions did
Peter buy?
Answer:
0.47 pounds
Step-by-step explanation:
Simple subtraction!
Total pounds = pounds of onions + pounds of potatoes + pounds of hamburger
Setting the pounds of onions to [tex]x[/tex] we get:
[tex]6.4 = x + 1.18 + 4.75[/tex]
[tex]x=0.47[/tex]
So we get 0.47 pounds of onions!
Approximate square root of 35 using an appropriate linear approximation.
Answer:
5.91
Step-by-step explanation:
35 is between the perfect squares 25 and 36.
√25 = 5
√36 = 6
/ 5 25 \
| d 10 |
1 < x 35 > 11
| 1 |
\ 6 36 /
11/1 = 10/d
11d = 10
d = 0.909
√35 = 5 + d = 5.909
√35 = 5.91
According to the Mars company, packages of milk chocolate M&Ms contain 20% orange candies. Find the probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies.
Using the normal distribution, it is found that there is a 0.383 = 38.3% probability that the sample proportion is between 18% and 22%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, the proportion and the sample size are of p = 0.2 and n = 100, respectively, hence:
[tex]\mu = p = 0.2[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{100}} = 0.04[/tex]
The probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies is the p-value of Z when X = 0.22 subtracted by the p-value of Z when X = 0.18, hence:
X = 0.22:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.2}{0.04}[/tex]
Z = 0.5
Z = 0.5 has a p-value of 0.6915.
X = 0.18:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.18 - 0.2}{0.04}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.3085.
0.6915 - 0.3085 = 0.383.
0.383 = 38.3% probability that the sample proportion is between 18% and 22%.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
I need help figuring out the answers
Answer:
The answer would be The answer would be 26 meters squared.
Step-by-step explanation:
1. Identify three rectangles
(The ones I identified were 5 by 2 [twice!] and 3 by 2)
2. Do 5x2 (10)
3. Do 5x2 again (10)
4. Do 3x2 (6)
5. Add 10, 10, and 6, to get 26
6. Label to get 26 meters squared. I hope this helps! :)
A workplace gave an “Employee Culture Survey” in which 500 employees rated their agreement with the statement, “I feel respected by those I work for.”The relative frequency of people who strongly agree with the statement is
Supposing that 400 people agree with this sentiment, the relative frequency is of 0.8.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we suppose that out of 500 employees, 400 agree with the sentiment, hence the relative frequency is given by:
p = 400/500 = 0.8.
More can be learned about relative frequencies at https://brainly.com/question/14398287
Find the area
A. 300 units
B. 520
C. 500 units
Answer:
b.520 units
Step-by-step explanation:
find the area of the bigger triangle the base is 20 which is 10×2 while the height is 28. 1/2×20×28=280units find the area of the smaller triangle. the base is also 20 while the height is 24. 1/2×20×24=240. sum the areas of the two triangles. 280+240=520units
The revenue generated by a company manufacturing lawn mowers is
R=−0.9x2+90.2x , where x represents the number of mowers produced. The cost to produce the mowers is C=29x+500 , where x is the number of mowers produced.
The profit generated in terms of x is −0.9x²+61.2x - 500
How to calculate profit functionsGiven the following parameters
Revenue generated by a company = R=−0.9x²+90.2x
The cost to produce the mowers C(x) = 29x + 500
Determine the profit function
p(x) = R(x) - C(x)
P(x) = −0.9x²+90.2x - (29x + 500)
P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500
Hence the profit generated in terms of x is −0.9x²+61.2x - 500
Learn more on profit function here: https://brainly.com/question/25638609
Can someone help me with these please
Answer:
1a. 210 m^2 1b. 14 ft^2 1c. 199.5 in^2
2a. 270 cm^2 2b. 162 m^2 2c. 272 cm^2
3a. 348 ft^2 3b. 230 in^2 3c. 312.5
Step-by-step explanation:
The area of a triangle can be calculated with one equation...
A = 1/2bh
b stands for base, h stands for height
1a. A = 1/2(21)(20)
One half divides 20 easily..
A = 21(10)
A = 210
1b. A = 1/2(7)(4)
One half divides 4 easily..
A = 2(7)
A = 14
1c. A = 1/2(19)(21)
A = 1/2(399)
A = 199.5
2a. A = 1/2(36)(15)
One half divides 36 easily..
A = 18(15)
A = 270
2b. A = 1/2(18)(18)
One half divides 9 easily..
A = 9(18)
A = 162
2c. A = 1/2(32)(17)
One half divides 32 easily..
A = 16(17)
A = 272
3a. A = 1/2(29)(24)
One half divides 24 easily..
A = 12(29)
A = 348
3b. A = 1/2(23)(20)
One half divides 20 easily..
A = 10(23)
A = 230
3c. A = 1/2(25)(25)
A = 1/2(625)
A = 312.5
Finding area of triangle --> [tex]\frac{1}{2}*b*h[/tex]
b --> length of base of triangleh --> length of height of triangleQuestion 1:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*20*21 = 210 m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*4*7 = 14 ft^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h= \frac{1}{2} *21*19=199.5in^2[/tex]
Question 2:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *36*15 = 270cm^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *18*18 = 162m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *17*32 = 272cm^2[/tex]
Question 3:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *24*29 = 348ft^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *20*23 = 230in^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *25*25 = 312.5cm^2[/tex]
Finding Area of Parallelogram --> b * h
b: length of base of parallelogramh: length of height of parallelogramQuestion 1
a. [tex]Area = b * h = 24 * 26 = 624cm^2[/tex]
b. [tex]Area = b * h = 15 * 30 = 450in^2[/tex]
c. [tex]Area = b * h = 21 * 31 = 651 mm^2[/tex]
Question 2
a. [tex]Area = b * h = 18 * 17 = 306 in^2[/tex]
b. [tex]Area = b * h = 10.5 * 15 = 157.5m^2[/tex]
c. [tex]Area = b * h = 12.5*11=137.5cm^2[/tex]
Question 3:
a. [tex]Area = b * h = 5.7*11.5=65.55in^2[/tex]
b. [tex]Area = b * h = 8 * 12.5 = 100ft^2[/tex]
c. [tex]Area = b * h = 1.7 * 3.6 = 6.12m^2[/tex]
Hope that helps!
Please help me I’ll mark brainly
Answer:
Step-by-step explanation:
First box: (3/4)*b
Second box (3/4 * -8)
third box (3/4b)
fourth box: -6
5th box: 12
6. Find the volume of the given figures. Compute and solve
Find the value of the given trigonometric function.
cos 420°
Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So
cos(420°) = cos(360° + 60°)
cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)
cos(420°) = cos(60°)
since cos(360°) = 1 and sin(360°) = 0. Then
cos(420°) = cos(60°) = 1/2
What is the measure of angle A in the triangle below?
us
B
18
9
A
A
С
30°
o 45°
60°
90°
To find the measure of Angle A, we'll need to use a trigonometric function.
Remember: SOH-CAH-TOA
Looking from Angle A, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.
sin(A) = 9 / 18
---To solve for A, you'll need to use the inverse sin function on your calculator. It should look like so: sin^-1()
The inverse sin of 1/2 = 30
Answer: first option, 30 degrees
Hope this helps!
A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?
Answer:
[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]
Step-by-step explanation:
Given Data:
Base area = [tex]A_{B}[/tex] = 108 in.²
Volume = V = 729 in.³
Required:
Height = h = ?
Formula:
[tex]V=A_{B}h[/tex]
Solution:
For h, rearranging formula:
[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]
answer the following question
Answer:
Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°
A middle school principal wants to change the lunch menu. The principal surveys the students to determine how the students would feel about the change. What served method will produce the best repersentative sample
A)survey every 5th student who rides in a car to school
B)survey 3 randomly selected students from every homeroom
C) survey every 10 7th grade student during lunch
D) survey 5 randomly selected students
Answer:
B
Step-by-step explanation:
B is the best answer because it's a lot of students and unbiased
pls help fast!!! will give brainliest!!!!!!
Answer:
A. About 47.5π
B. About 149.1
Medication with strength 125 mg/5 mL has been ordered at 25 mg/kg. The patient weighs 215 lb. How much should be
administered? (If less than 1, round to the nearest hundredth; otherwise, round to the nearest tenth.)
The amount of mg required per kg for the patient is 2,438.1mg/kg
Ratios and proportionsProportions are ratios of two integers.
Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.
For a patient that weighs 215lb, the weight in kg will be 97.5224kg
Since 25mg = 1 kg
x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06
Hence the amount of mg required per kg for the patient is 2,438.06mg/kg
Learn more on ratio and proportion here: https://brainly.com/question/19994681
i think its 8,770 wbu
help??
Answer:
Your answer would be 8,770.
Step-by-step explanation:
the numbers list as 0,085-0,785-0,870-7,780-8,750-8,770 so you would be correct saying that 8,770 is the largest number.
The equation x2 + 4y2 = 36 represents which conic section?
ellipse
circle
hyperbola
parabola
Answer: The answer is ellipse
Factorize the given expressions below.
a) 6x power 2 -3x
b) x power 2 + 3x - 28
c) 4au + 24av - 5bu - 30bv
please answer and make it clear. give them brainlest answer.
[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]
Step-by-step explanation:
A.6x^2-3x
3x(2x-1)
B.x^2+3x-28
product= -28x^2 sum= +3x factors= +7x, -4x
(x^+7x)(-4x-28)
x(x+7)-4(x+7)
(x-4)(x+7)
C.4au + 24av -5bu - 30bv
4a(u+6v)-5b(u+6v)
(4a-5b)(u+6v)
A point on a pre-image is currently located at (1, -3). The pre-image is translated 3
units right and 6 units up.
What are the NEW coordinates for the point after the translation? Use graph paper
to sketch the translation if needed.
(3, 4)
(3,4
(4,3)
)
(7.0)
0
(-2.2)
Answer:
(4,3)
Step-by-step explanation:
Since its a positive translation you add 3 to 1 because you are going to the right. You coordinates of that step then becomes (4,-3). Then you need to translate up 6 units. Because the y is -3 you add 3 to make 0, then 3 more (3+3=6) to get positive 3. You then end up with the coordinates (4,3)
Mike earns $15 per hour and Sara earns $34 per hour. What is the relative change in wages from Mike to Sara?
Put these numbers in order from least to greatest "-5" 13 4 10 "-1"
Answer:
-5, -1, 4, 10, 13
Step-by-step explanation:
the larger the negative, the smaller the number
When K is negative the parabola ………..
Answer:
has its vertex below the x-axis
Step-by-step explanation:
In the vertex form equation for a parabola, the parameter k is the y-coordinate of the vertex.
__
When k is negative, the parabola has its vertex located below the x-axis.