x:y=5:3 and x+y=56 work ouy the value of x and y
Answer:
x=35, y=21
Step-by-step explanation:
A way to rewrite the first equation is [tex]\frac{x}{y} =\frac{5}{3}[/tex]
after cross-multiplying, we get 3x=5y.
If we solve for one variable, we can substitute it into the other equation.
Let's solve for x.
3x=5y
x=(5/3)y
Now, we can substitute x=(5/3)y in the equation x+y=56.
(5/3)y+y=56
(8/3)y=56
y=21
Going back to x+y=56, we can now plug back in y, knowing that it is 21.
x+21=56
x=35.
Add using Scratch Addition. 45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 3
Answer:
1302
Step-by-step explanation:
In a class of 30 students 16 have a cat and 15 have a dog there are 11 students who have a cat and a dog what is the probability that a student has a dog given they do not have a cat?
The probability that a student has a dog given they do not have a cat is 0.1333.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of students = 30
[tex]n(s)=30[/tex]
Number of students have cat = 16
Number of students have dog = 15
Number of students have a cat and a dog = 11
The event is the probability that a student has a dog given they do not have a cat,
[tex]n(e)=15-11[/tex]
⇒ [tex]4[/tex]
Thus the probability that a student has a dog given they do not have a cat is
⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{4}{30}[/tex]
⇒ [tex]P(e)=0.1333[/tex]
Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.
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Please Help!!! I'll Give Best And Brainliest if it lets me!
Answer:
6
Step-by-step explanation:
this is the answer. have a great day.
I would really appreciate it if someone could answer this I will give a brainlist:)
Answer:
x = 97
Step-by-step explanation:
a^2 + b^2 = c^2
(65^2) + (72^2) = c^2
4,225 + 5,184 = c^2
9,409 = c^2
√9,409 = 97 = c^2
97 = c
97 = x
Following are weights, in pounds, of two-month-old baby girls. It is reasonable to assume that the population is approximately normal.
12.32 11.87 12.34 11.48 12.66
8.51 14.13 12.95 9.34 8.63
Required:
a. Construct a interval for the mean weight of two-month-old baby girls.
b. According to the National Health Statistics Reports, the mean weight of two—month-old baby boys is 13.9 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month—old baby girls may be the same as that of two-month-old baby boys? Explain.
Answer:
10.224 < μ < 12.622 ;
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of Error
margin of error = Zcritical * standard deviation /sqrt(n)
n = sample size
From the data:
12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63
From the data:
Using calculator :
Mean, = 11.423
Standard deviation, s = 1.934
Zcritical at 95% confidence interval = 1.96
Sample size, n = 10
Margin of Error = 1.96* 1.934/sqrt(10) = 1.199
Lower boundary = 11.423 - 1.199 = 10.224
Upper boundary = 11.423 + 1.199 = 12.622
10.224 < μ < 12.622
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
I need help please!!
Answer:
3 1/4 + 4 2/5 + 6 1/2 = 14.15 hours
Step-by-step explanation:
1)
15 ft
12 ft
18 ft
A) 116.9 ft2
C) 216 ft?
E) 54 ft
B) 115.2 ft2
D) 108 ft2
Answer:
D
Step-by-step explanation:
Please Help me!!! with this problem
9514 1404 393
Answer:
D 120
Step-by-step explanation:
We are given the relation ...
48 = 0.40 × sales
Dividing by 0.40 gives the sales for the day.
sales = 48/0.40 = 120
120 milkshakes were sold that day.
Which of the following could not be a cross section of a rectangular prism?
A. Rectangle
B. Circle
C. Parallelogram
D. Triangle
Answer:
B
Step-by-step explanation:
i will love you if u please answer this question PLSS
Answer:
On the dive boat deck
Step-by-step explanation:
This is above the water level and water level is considered to be 0
pls love me <3
A force of 50 pounds acts in a direction 60° above horizontal, moving an object 100 feet from (0, 0) to (100, 0). How much work is done by the force?
Answer:
Your answer is 1500
Step-by-step explanation:
Hope this helped
Answer:
C
Step-by-step explanation:
Edge 2021
Please help me with number 6
2+262+77+8+9+9+8+6+5+5+4+5+56+6+6+6+8+8+65+6+6+8+8
Answer:
583
Step-by-step explanation:
Plssss helppppppl:((((
Answer:
I think it's 1.5 I'm not sure ._.
Answer:
1/3
Step-by-step explanation:
Total students = 36
No of boys = 24
No of girls = 36 - 24 = 12
Probability of selecting a girl = 12/36 = 1/3
If 3 students eat 2 pizzas how many pizzas are needed for 54 students
Answer:
18 pizzas
Step-by-step explanation:
How many pints are in 6.5 gallons?
Answer:
52 pints in 6.5 gallons.
Step-by-step explanation:
6.5 *8= 52
Answer:
52 pints
Step-by-step explanation:
6.5 * 8 = 52
(*8 because there are 8 pints in a gallon)
Randy wants to install a patio, which will be filled with concrete. The dimensions of the patio are 14 m long, 8 m wide, and 1 m deep. Determine the cost of the
concrete to be used while installing the patio if the concrete is available to Randy at the rate of $5 per cubic meter.
The cost of the concrete for installing the patio will be,
Answer:
Total cost of patio = $560
Step-by-step explanation:
Given:
Length of patio = 14 m
Width of patio = 8 m
Height of patio = 1 m
Cost of 1 m³ concrete = $5
Find:
Total cost of patio
Computation:
Volume of patio = l x b x h
Volume of patio = 14 x 8 x 1
Volume of patio = 112 m³
Total cost of patio = Volume of patio x $5
Total cost of patio = 112 x $5
Total cost of patio = $560
Which net can be folded to form a triangular pyramid?
The net that can be folded to form a triangular pyramid is net b
How to determine the net that can be foldedFrom the question, we have the following parameters that can be used in our computation:
The nets in the list of options
As a general rule, a triangular pyramid has 4 triangles such that
Three triangles are adjacent and one triangle is at the top or at the bottom
using the above as a guide, we have the following:
The net that can be folded to form a triangular pyramid is net b
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solve (x+5)/3 = 4 for x
please help asap
Answer:
x=7, because 7 plus 5 is 12 and 12 divided by 3 is 4
Step-by-step explanation:
7+5=12/3=4
Find the area of the shaded polygons
Answer:
4 sq un
Step-by-step explanation:
shamika grew by 14 cm in the past year, and is now 1.33 meters tall. how tall in meters was shamika last year
Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the next strike occurs within the next minute, you win 3 dollars, if the next strike occurs between 1 minute and 2 minutes from now, you win 5 dollars, and if the next strike occurs more than 2 minutes from now, you win 1 dollar. How much should someone be charged to play this game, to make it a "fair game?"
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
How do you write 5.13 × 10–4 in standard form?
Answer:
0.000513Step-by-step explanation:
I hope that is useful for you :)
Find the area inside the square and outside the circle. (Simplify your answer. Type an exact answer in terms of pi.)
9514 1404 393
Answer:
(676 -169π) ft²
Step-by-step explanation:
The area of the square is ...
A = s² = (26 ft)² = 676 ft²
The area of the circle is ...
A = πr² = π(13 ft)² = 169π ft²
Then the shaded area is ...
(676 -169π) ft²
Find the slope of the line passing through the points (6, 7) and (6, -5).
Answer:
undefined
It is undefined because if you put it on a graph you get a line going straight down.
the perimeter of a rectangle is 58m if its length is 17m find its breadth
pls help its urgent
Write an expression that is equivalent to -0.5(14a-22)
-0.5(14a-22) = _?_a+_?_
Answer:
- 7a + 11Step-by-step explanation:
-0.5(14a - 22) = -0.5(14a) + (-0.5)(-22) = - 7a + 11The blanks are -7 and 11
Answer:
-7 and 11
Step-by-step explanation:
Kai can wrap 42 gifts in 3 hours. Answer the following questions, assuming that Kai can continue wrapping gifts at that same rate. How many gifts can Kai wrap in 24 hours? _______________ How many hours would it take him to wrap 126 gifts? _______________ How many gifts does Kai wrap per hour? _______________
Answer:
1. 336
2. 9
3. 14
Step-by-step explanation:
He wraps 42 gifts/3hours
24 hours is 8 "3 hours"
42 hours per 3 gifts * 8 "3 hours" = 336 gifts
126 gifts is 3 "42 gifts"
3 hours per 42 gifts * 3 "42 gifts" = 9 hours
He wraps 42 gifts/3hours
divide these values by 3 and you get 14 gifts/one hour
14 gifts every one hour
can you please help me with this?
Answer:
36 cm squared is the anwer
Answer:
96cm²
Step-by-step explanation:
you must find the surface area of each side then add it all up