A) divide actual inches by scale:
28/7 =4 cm
B) multiply actual cm by scale:
9 x 7 = 63 inches
HELP ASAP! I WILL MARK BRIANLIST! THANK YOU (:
The coordinates of the vertices of the triangle shown are A(2, 13), B(10, 5) and C(12, 14). What is the length of segment AB in units?
9514 1404 393
Answer:
8√2 units
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((10 -2)² +(5 -13)²) = √(64 +64)
d = 8√2
The length of AB is 8√2 units.
With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes. a) With a significance level of 5 percent, conduct an appropriate test on the claim. (State your null hypothesis, test statistic, critical value, decision rule, conclusion) (15 points) b) What is the 95% confidence interval for the population variance
Answer:
H0 : σ²= 7.2²
H1 : σ² < 7.2
We can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.
Step-by-step explanation:
H0 : σ²= 7.2²
H1 : σ² < 7.2²
The test statistic :
X² = [(n - 1)*s² ÷ σ²]
s² = 3.5
n = sample size = 25. ; s²
X² = [(25 -1)*3.5² ÷ 7.2²
X² = (24 * 3.5^2) / 7.2^2
X² = 5.67
Pvalue from Chisquare statistic :
P(X² < 5.67) = 0.000042
Pvalue < α ; we reject the Null.
Hence, we can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.
Find the equation of a circle that has a diameter with endpoints given by the points
A(-4,1) & B(4,2).
Step-by-step explanation:
The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.
Coordinates of centre can be find out by the midpoint formula.
[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]
Now the measure of radius can be obtained by half the distance between them.
[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]
We know the general equation of circle as ,
[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]
(h,k) is centre r is radius.[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]
How long is the base of a parallelogram if it has an area of 100 square meters and a height of 5 meters?
Answer:
Base of parallelogram = 20 meter
Step-by-step explanation:
Given:
Area of parallelogram = 100 square meters
Height of parallelogram = 5 meters
Find:
Base of parallelogram
Computation:
Area of parallelogram = [Base of parallelogram][Height of parallelogram]
By putting value in the formula;
100 = [Base of parallelogram][5]
Base of parallelogram = 100 / 5
Base of parallelogram = 20 meter
The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
30.96 ft²
Step-by-step explanation:
area of square = 12 x 12 = 144 ft²
area of circle = (3.14)(6²) = 113.04 ft²
144 - 113.04 = 30.96 ft²
Find the distance between the two numbers on the number
line.
Answer:
3 1/2
Step-by-step explanation:
|-7| - |-3 1/2| = 3 1/2
the tallest building in houston in 1,002 feet tall the tallest building in dallas is 307 yards tall which of the following is true F. the dallas building is 27 yd taller than the houston building G. the houston building is 27 yd taller than the dallas building H. the dallas building is 695 ft taller than the houston building J. the houston building is 695 ft taller than the dallas building A. 200 x 80 cm x 1 km/ 1,000 cm B. 200 x 80 cm x 1 cm/ 100 C. 200 x 80 cm x 100cm/1 m x 1,000 m/ 1 km D. 200 x 80 cm x 1 m/ 100 cm x 1 km/ 1,000 m
Answer:
The tallest building in the city is the Bank of America Plaza, which rises 921 feet (281 m) in Downtown Dallas and was completed in 1985.
Step-by-step explanation:
Answer:
G. the houston building is 27 yd taller than the dallas building
Step-by-step explanation:
1,002 ft
= 334 yards (Houston)
307 yards (Dallas)
F. Incorrect because the Houston building is taller.
G. 334 - 307 = 27 (This is true)
695 ft is not equal to 27 therefore, H and J are not true.
Your centrifugal pump costs approximately $30 to run each day. Your facility is charged 9.7 cents per kilowatt hour for electricity, and all pumps in your facility use 240 VDC. What is the resistance of the copper wire supplying electricity to this pump?
Answer:
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
Step-by-step explanation:
Given
Per day cost of running centrifugal pump is $30
Charge of electricity is 9.7 cents per kilowatt hour
Total electricity power consumed
[tex]\frac{30}{0.097} \\309.278[/tex] kilowatt hour
Current flowing through the pump
[tex]= \frac{309.278}{240} \\= 1.288[/tex]A
Resistance of the pump
[tex]\frac{1.288}{240} \\0.005[/tex] ohm
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?
Answer:
I don't know.
Jerome bowling average ,j, is at or above the leagues average of 100. Witch inequality BEST represents?
Find x, y and p in the given figure
Answer:
x=50
y=40
p=130
Step-by-step explanation:
A whole circle is 360 degrees, so 270+40+x = 360. x=50.
Y is the same angle as the 40 degrees above it.
P is the same as y+90, so it's 40+90 = 130.
Pls help me I don’t know I just need 5 and 6 to be answered
Answer:
5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?
6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!
Step-by-step explanation:
Need help on this Its almost summer need to pass :D
Answer:
3
Step-by-step explanation:
8*3 + 8*3
(24) + (24) = 48
8*6 = 48
Vicki made 3 quarts of lemonade to serve at her party. she will serve the lemonade in glasses that hold 1 cup of liquid each. how many of these glasses can Vicki fill with lemonade? ( giving extra points etc. )
A : 16
B : 12
C : 14
D : 8
Answer: 12, B
Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12
find the area of the shape below
I WILL MARK BRAINLEST!!
Answer:
25.75 sq units
Step-by-step explanation:
Big triangle = 1/2 * 3.5 * 9 = 15.75
Tiny triangle = .5 * 2 * 2 = 2
Medium triangle = .5 * 2 * 5 = 5
square = 2 * 2
15.75 + 4 + 5 + 2
Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?
O
lim f(x) DNE and lim F(x) DNE
X-8
tim f(x) DNE and lim f(x) = 120
X-8
Olim f(x) = 85 and lim f(x) = 85
X-8
lim f(x) = 85 and lim f(x) = 120
X 81
It’s :lim f(x)=85 and lim f(x)=120
The limit of the given functions f(x)=85 and lim f(x)=120.
We have given that,
Function f(x) has a jump discontinuity at x = 8.
We have to determine a statement that identifies possible one-sided limits at x = 8.
What is the meaning of discontinuity?lack of continuity or cohesion. gap sense 5. The property of being not mathematically continuous is a point of discontinuity. an instance of being not mathematically continuous, especially a value of an independent variable at which a function is not continuous.
lim f(x)=85 and lim f(x)=120
To learn more about limit visit:
https://brainly.com/question/26867415
#SPJ2
Five-sixths of Paco's stamps have pictures of animals.
How many stamps with pictures of animals does Paco have? Use the table to answer the question.
Paco has____ stamps with pictures of animals.
Answer:
20
Step-by-step explanation:
fraction of stamps that has animals on it x total number of stamps paco has = pictures with animals on it
(5/6) x 24 = 20
Please answer this properly
Answer:
1. Fraction = 0.36, 36% and 36/100
2
In 2002, there were 450 households in the city of Klean that recycled. Each year since 2002, the number of
households that recycle has grown by 8%. Write a function to represent the number of households
in Klean that recycle x years since 2002.
Answer:
450 x 1.08 ^ X = N
Step-by-step explanation:
Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:
450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle
450 x 1.08 ^ X = N
Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:
450 x 1.08 ^ 5 = N
450 x 1.4693 = N
661.20 = N
Which expression is equivalent to 3(x + 4)?
Answer:
3x + 12
Step-by-step explanation:
Use the distributive property.
3(x + 4) = 3 * x + 3 * 4 = 3x + 12
Answer: 3x + 12
Answer:
3x+12
Step-by-step explanation:
3(4x – 2.5) = 5(0.4x + 10) + 33
what is the solution? ASAP
Answer:
3(4x - 2.5) = 5(0.4x + 10) + 33
3•(4•x - 2.5) = 5•(0.4•x + 10) + 33
10x = 90.5
x = 181/ 20
= 9.05
Step-by-step explanation:
9514 1404 393
Answer:
x = 9.05
Step-by-step explanation:
Start by eliminating parentheses.
12x -7.5 = 2.0x +50 +33
10x = 90.5 . . . . . . . . . . . . . add 7.5-2x
x = 9.05 . . . . . . . . . . divide by 10
Find the surface area
No link please and thank you
Answer:
1200 in^2
Step-by-step explanation:
SA = 2B + Ph
SA = 2(8 * 15 / 2) + 40(27)
SA = 1200
The point P = (2/5, y) lies on the unit circle shown below. What is the value of y in
simplest form?
Using the unit circle, it is found that the value of y is given by:
[tex]y = \pm \frac{\sqrt{21}}{5}[/tex]What is the unit circle?The unit circle is a circle centered at the origin with radius 1, hence, it's equation is given by:[tex]x^2 + y^2 = 1[/tex]
At point P, we have that [tex]x = \frac{2}{5}[/tex], and hence, we have to find the value of y.
[tex]x^2 + y^2 = 1[/tex]
[tex]\left(\frac{2}{5}\right)^2 + y^2 = 1[/tex]
[tex]\frac{4}{25} + y^2 = 1[/tex]
[tex]y^2 = 1 - \frac{4}{25}[/tex]
[tex]y^2 = \frac{21}{25}[/tex]
[tex]y = \pm \sqrt{\frac{21}{25}}[/tex]
[tex]y = \pm \frac{\sqrt{21}}{5}[/tex]
To learn more about the unit circle, you can take a look at https://brainly.com/question/16852127
6 times the number of waiters at a restaurant was 6 less than the number of
customers in the restaurant. The number of waiters was 3. How many customers
were there?
Answer:
12
Step-by-step explanation:
6x3-6=12
Answer:
12 customers
Step-by-step explanation:
6*3=18
18-6=12
So, there were 12 customers
:)
David ordered 210 face masks. 50% of the masks are blue. A fifth of the total masks are white and the remainder are black masks. How many black masks
Answer:
63
Step-by-step explanation:
50 % of 210 = 105
one fifth of total = 42
black masks = (105+42=) - 210 = 63 ans.
How many more orders for cheese were
for 3/4 pound or less than for 1 pound or
more?
Answer:
1 whole pound silly
Step-by-step explanation:
Answer:
Its 8
Step-by-step explanation:
A jar contains 10 red marbles 18 blue marbles and 12 white marbles. Which multiplication will halo you find the sorted probability of picking a red marble, replacing it, then picking a blue marble?
Answer:
[tex]\frac{9}{80}[/tex]
Step-by-step explanation:
So there is 40marbles in total
The probability of picking a red marble first is [tex]\frac{10}{40}[/tex] because there is 10 red marbles out of 40 total marbles
Then you replace it and I'm going to assume that you put the red marble back.
Then you would still have 40 marbles and the probability of picking a blue one is [tex]\frac{18}{40}[/tex] because there is 18 blue marbles.
Then you multiply [tex]\frac{10}{40}[/tex] and [tex]\frac{18}{40}[/tex] and that is [tex]\frac{9}{80}[/tex]
Hope this helps and If I'm wrong pls tell me.
how much it must decrease 65432 to reach 100000
Answer:
165432
Step-by-step explanation:
165432 - 65432 = 100000
In triangle ABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, inches?
- 3 < AC < 7
- 3 ≤ AC ≤ 7
- 2 < AC < 8
- 2 ≤ AC ≤ 8
Answer:
-2 < AC < 8
Step-by-step explanation:
The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.