Given:
The scale model of an object has a scale of 1cm : 2ft.
The actual object is 11 feet tall.
To find:
The height of the model.
Solution:
It is given that the scale model of an object has a scale of 1cm : 2ft and the actual object is 11 feet tall.
Let the height of the model be x cm.
[tex]\dfrac{x\ cm}{11\ ft}=\dfrac{1\ cm}{2 \ ft}[/tex]
[tex]x\ cm=\dfrac{1 \ cm\times 11\ ft}{2 \ ft}[/tex]
[tex]x\ cm=5.5\ cm[/tex]
Therefore, the model is 5.5 cm tall.
In the year 2005, the average cost of a car could be modeled by the equation C= -15x^2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x^2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.
Answer:
5x^2+10x-3
Step-by-step explanation:
USF is interested in learning about the average time students spend taking selfies. The university sampled 38 students and asked each to provide the amount of time they spent taking selfies. This variable, selfie time, was then used to conduct a test of hypothesis. The goal was to determine if the average selfie time for all USF's students differed from 20 minutes. Suppose the large-sample test statistic was calculated to be z = 2.14. Find the p-value for this test of hypothesis.
Answer:
the p-value for this test of hypothesis is 0.0324
Step-by-step explanation:
Given the data in the question;
sample size n = 38
Null hypothesis H₀ : μ = 20
Alternative hypothesis Hₐ : μ ≠ 20
z = 2.14
Test Statistic;
since its a two tailed test, p-value will be;
⇒ 2 × P( Z > |z| )
= 2 × ( 1 - P( Z < |z| ) )
we substitute in the value of z
= 2 × ( 1 - P( Z < 2.14 ) )
from z score table, P( Z < 2.14 ) = 0.9838
= 2 × ( 1 - 0.9838 )
= 2 × ( 0.0162 )
P-value = 0.0324
Therefore, the p-value for this test of hypothesis is 0.0324
Probability of dependent events
Espanol
A department store is holding a drawing to give away free shopping sprees. There are 9 customers who have entered the drawing: 4 live in the town of Gaston,
2 live in Pike, and 3 Ilve In Wells. Two winners will be selected at random. What is the probability that the first winner lives in Wells and the second lives in
Gaston? Write your answer as a fraction in simplest form.
0
$
2
Explanation
Check
2021 McGraw-Hill Education. All Rights Reserved Terms of Use | Privacy | Accessibility
Answer:
1/9
Step-by-step explanation:
someone please answer without links please, thankyouuu
The diagram represents an 11 cm by 6 cm rectangle.
Calculate the area of the rectangle, giving the units of your answer.
Answer:
66cm is the area of the rectangle
i need help with this! pls pls
Answer:
x = 21 degrees
Angle KMH = 96 degrees
Step-by-step explanation:
The first question is what is x. To find that out the opposite angle of 4x is the same as x. That is 84 degrees. So take 84 and divide it by 4 you get 21.
x = 21 degrees.
The second question is what is the angel of KMH. A straight line is 180 degrees. If you take the 84 degrees and subtract it from 180 you will get what that angle equals. It equals 96 degrees.
Which statement best describes the equation y = 4x^2? A. The equation does not represent a function. B. The equation represents a function, but not a linear function. C. The equation represents a linear function. D. The equation represents a line, but not a linear function.
Answer:
B. The equation represents a function, but not a linear function.
Step-by-step explanation:
Equation with x squared:
A equation in which the highest power of x is 2, that is, a term [tex]ax^2[/tex], is called a quadratic function.
In this question:
[tex]y = 4x^2[/tex] is a function.
However, since the highest power of x is 2, it is not a linear function, it is a quadratic function, and the correct answer is given by option B.
Answer:
B
Step-by-step explanation:
A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $3 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $25 per order as well as $5 per shoe pair. The retail store sells 4500 shoe pairs each year. Find a function that models the total inventory costs as a function of x x the number of shoe pairs in each order from the manufacturer.
Answer:
the function that models the total inventory costs as a function of x is;
$( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Step-by-step explanation:
Given the data in the question;
cost of storing the shoes ( Holding cost ) = $ 3 per year
ordering cost ( Co ) fixed = $ 25 per order
cost of each pair = $ 5 per shoe pair
Total demand = 4500 shoe pairs
Total Inventory cost = Holding cost Ordering cost
so
Total Inventory cost = [tex]\frac{4500}{x}[/tex]( $ 25) + [tex]\frac{1}{2}[/tex]× $3 × x
Total Inventory cost = $( [tex]\frac{4500*25}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Total Inventory cost = $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Therefore, the function that models the total inventory costs as a function of x is; $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
what are the answer and processes? 5x-9=11
Answer: x=4
Step-by-step explanation:
5x-9=11
5x=11+9
5x=20
X=4
Plz help if correct ill give brailiest
Answer:
That first one is the answer
Answer:
the last one
Source : Trust me Bro
(its actually the last one)
In the given figure, what is the sum of the angles at A, B, C, D, and E? I'll mark brainliest for correct answer. NO LINKS OR USING FOR POINTS OR ILL REPORT U.
the answer is 900
Step-by-step explanation:
180= the sum of the angles in a triangle
five triangles, just multiply them
The surface area of a trianglular pyramid is 305 square inches. the area of the base is 35 square inches. Each face has a base of 9 inches. What is the slant height?
Please hurry!!!!!!!!!!!!!!!
Answer:
a -------> 4
b -------> -2
c -------> -1
d -------> -4
Find the lengths of the legs.
Answer:
opposite = 5√2
adjacent 5√2
Step-by-step explanation:
the opposite leg can be determined using
Sin = opposite / hypotenuse
√2 / 2= opposite / 10
opposite = 5√2
the adjacent leg can be determined using
cos = adjacent / hypotenuse
√2 / 2= adjacent / 10
adjacent = 5√2
HELP PLEASE
ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
Answer:
HI, IG, GH
Step-by-step explanation:
First, you need to find the missing angle; do this by subtracting 48 and 89 from 180. This means the missing angle is 43. The smallest side will be across from the smallest angle. So in order of least to greatest, the sides are HI, IG, GH.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
HIK and GFD,
Step-by-step explanation:
What are the two offices underneath the jurisdiction of the executive office
In government
Answer:
National Security Council and Office of Policy Development are two of the offices underneath the jurisdiction of the executive office.
Step-by-step explanation:
Hope this helped!!!
Please help me Surface Area Homework
What is the value of the 3 in the number 738?
(please help )
Helpppppppppppppppppppp. Pleaseeee
A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your house. In what time will the storm reach your house?
A. 1 hr(s)
B. 2 hr(s)
C. 3 hr(s)
D. 4 hr(s)
Answer:
3 hr(s)
Step-by-step explanation:
20 km/1 hour
60km/20km = 3
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU GUYS SO MUCH!!
Answer:
Step-by-step explanation:
diameter= 22 mm
Radius is half of diameter
r = 22/2 = 11mm
Area of circle = πr²
= 3.14 * 11*11
= 379.94 mm²
Diameter (d) of circle = 22 mm
To Find:-Area of circle.
Solution:-Diameter (d) of circle = 22 mm (Given)
So, radius (r) of circle = [tex] \frac{d}{2} [/tex] = [tex] \frac{22}{2} [/tex] = 11 mm.
Now, we know,
Formula of Area of Circle is πr².
So, Area of Circle = [tex] \frac{22}{7} [/tex] × (11)²
Area of Circle = [tex] \frac{22}{7} [/tex] × 11 × 11
Area of Circle = [tex] \frac{22 \: × \: 11 \: × \: 11}{7} [/tex]
Area of Circle = [tex] \frac{2662}{7} [/tex]
Area of Circle = 380.29
Area of Circle is 380.29 sq mm. [Answer]pls help with this, 6.09 Graded Assignment: Basic Geometric Shapes - Part 2
Answer:
Start: x = 141°
141° and x are alternate interior angles and congruent because the lines are parallel
Go left: x = 39°
39° and x are corresponding angles, and therefore congruent
Go down: x = 139°
180 - 41 = 139, the angle next to 41 and x are corresponding angles
Go left: x = 98°
180 - 82 = 98, the angle next to 82 and x are corresponding angles
Go down: x = 102°
102° and x are vertical angles and therefore congruent
Go right: x = 50°
180 - 130 = 50, the angle next to 130 and x are corresponding angles
Go down: x = 74°
corresponding angles
Go right: x = 83°
corresponding angles
Go right: x = 95°
corresponding angles
Go up: x = 18°
corresponding angles
Go left: x = 166°
180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)
I didn't get to finish but I'll attach something that may help you
I need help with this not a test
Answer:
15$
Step-by-step explanation:
small car is 5 times smaller so we have to multiply the prise of the small car by 5.
Two dice are
thrown, what
is the probability that the sum
of the numbers is divisible by 5?
Answer:
Step-by-step explanation:
Remark
Two results are divisible by 5.
The two are 5 and 10.
There are 36 possible outcomes when throwing 2 dice
Five
You can throw a 5 four different ways
4 - 1
1 - 4
2 - 3
3 - 2
Probability: 4/36
Ten
Ten can be thrown 3 different ways
5 - 5
6 - 4
4- 6
Probability : 3/36
Answer
The probability of a 5 or a 10 = 4/36 + 3/36 = 7/36
If you mean something else, leave a note in the comment and I'll get back to this. Please leave something specific. It's wrong doesn't help me.
how do you solve this problem
1/3 *3-3=4
This is PEMDAS as well as order of operations and or parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first. Same goes to addition and subtraction. A way to remember the order is Please Excuse My Dear Aunt Sally.
Use the distributive property to remove the parentheses (-4+3x+3v)(-2)
Answer:
your final answer would be −6v−6x+8
Step-by-step explanation:
(−4+3x+3v)(−2)
=(−4)(−2)+(3x)(−2)+(3v)(−2) group like terms together
=8−6x−6v combine like terms
= -6v-6x+8 put in standerd form
Answer:
-(-4+3x+3v)2
Step-by-step explanation:
1.) (-4+3x+3v)(-2) = -2(-4+3x+3v)
2.) (-4+3x+3v)
Remove parentheses: (-a) = -a
Answer: -(-4+3x+3v)2
If all dimensions of a rectangular prism are multiplied by 4, which statement is true?
A. The total surface area is multiplied by 64. The volume is multiplied by 16.
B. The total surface area is multiplied by 64. The volume is multiplied by 64.
C. The total surface area is multiplied by 16. The volume is multiplied by 64.
D. The total surface area is multiplied by 4. The volume is multiplied by 16.
No dam links
Answer:
Step-by-step explanation:
K
The scale is 1 cm : 4 m.
1. show me your proportion
2. Model : 30 cm . Find the actual dimension.
Answer:
7.5 cm: 30 cm
Step-by-step explanation:
The scale is 1 cm: 4cm which is 1/4. The next one would be 7.5 cm: 30 cm because that is also equal to 1/4.
a sports team donates 157 tickets to a sporting event,with tickets to be shared equally among 9 classrooms.How many tickets does each classroom receive? How many tickets are left over?
Answer:
Each class should get 17 tickets. 4 tickets will be left over.
Step-by-step explanation:
157/9=17.444... -> 17 per class
17 x 9 = 153
157-153= 4 left
Each class should get 17 tickets and 4 tickets will be left.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total tickets= 157
and, Total classroom among which the tickets to be divided= 9.
So, each classroom have
= 157/ 9
= 17 with 4 left
Hence, 17 tickets are divided equally and 4 tickets are left.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Find the surface area of the cylinder.
Answer:
[tex]A=227.84\ inch^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 5 inch
Hight, h = 12 m
Radius, r = d/2 = 2.5 m
We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].