Answer:
Options : 1 , 2 , 4 , 5
Step-by-step explanation:
Rational numbers are numbers of the form
[tex]\frac{p}{q}[/tex],
where p and q are integers and q≠0
A decimal number is a rational number , if its :
A) Terminating.
Example : 0.5
B) Non Terminating and Recurring(repeating).
Example : 0.111111111.....
Option 1 : True
Option 2 : True
Option 3 : False [ denominator cannot be zero ]
Option 4 : True
Option 5 : True
The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 15 pounds. What is the probability that the weight of the dogs are between 35.5 and 65.5 pounds?
Given:
The weights of dogs in a dog show is normally distributed.
Mean = 58 pounds
Standard deviation = 15
To find:
The probability that the weight of the dogs are between 35.5 and 65.5 pounds.
Solution:
We know that,
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.
We need to find the value of [tex]P(35.5<x<65.5)[/tex].
[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]
Level of significance is 95%.
[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]
[tex]P(35.5<x<65.5)=0.624653[/tex]
[tex]P(35.5<x<65.5)\approx 0.6247[/tex]
Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.
Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets
Answer:
$175
Step-by-step explanation:
you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.
They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25
Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.
Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.
Find the slope of a line thrcfugh the points (3, 2) and (11, 7). Round your
answer to 1 decimal place.
slope
Y2M
32-1
Work Shown:
m = (y2-y1)/(x2-x1)
m = (7-2)/(11-3)
m = 5/8
m = 0.625
m = 0.6
Find the volume of this sphere.
Use 3 for TT.
¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿???????????????
Very sry to tell that I really don't know it...
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
401.24m
Step-by-step explanation:
the length is,
97x2 + 66x3.14
Question 2 of 25
If you apply the changes below to the absolute value parent function, f(x) = [XI,
what is the equation of the new function?
• Shift 4 units to the right.
• Shift 6 units up.
Answer:
[tex]g(x) = |x-4|+6[/tex]
Step-by-step explanation:
shift 4 to the right --> x-4
shift 6 up --> +6
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
The car price decreased by $2,268.
The price of the car now is $33,732.
Step-by-step explanation:
Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.
Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.
Answer:
Step-by-step explanation:
6.3 : 100 = x : 36000
x = (36000 * 6.3)/100 = $2268 (decrease in price)
Price of new model: 36000 - 2268 = $33732
1.5 in.
1.5 in.
8 inches tall
The tube of toothpaste shown costs $3.45. Estimate the price per cubic inch of toothpaste.
Answer:
per inch 0.90 cents hhhhhhjjkolllll
the taco truck sells tacos for $3 and burritos for $4. the number of items sold on a tuesday is 125 with a total income of $430. how many tacos were sold?
Answer:
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
3 T + 4 B =425
T + B = 125
Where T is the number of tacos sold, and B is the number of burritos sold.
Multiplying the second equation by 3, and subtracting it to the first equation:
3 T + 4 B =425
3T + 3B = 375
___________
B =50
Replacing B in any equation:
T + B = 125
T +50 =125
T =125-50
T = 75
Feel free to ask for more if needed or if you did not understand something.
the histogram shows the result of survey asking students how many windows are in their homes how mnay studengs have less than 10 windows. I will mark Brainly help
Answer:
4 students
Step-by-step explanation:
Although I am not sure if I am completely correct. I’ll try my best.
We know:
The numbers 0-12 on the frequency table is the number of windows.
The numbers on the bottom is the amount of students.
-
What we can see:
As we can see..
the 0-4 section in the table shows that only 0-4 students have 9 windows. The 5-9 sections shows that only 5-9 students have 10 windows.The 10-14 sections shows that 10-14 students have 0 windows.The 15-19 sections shows that 15-19 students have 4 windows.The 20-24 sections shows that 20-24 students have 2 windows.-
Calculations:
Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)
Add.
4+0
= 4
Therefore, 4 students have less than 10 windows.
Determine whether each of the following problems
will have a rational or an irrational answer. Your
answer should be either the word "rational or
"irrational."
18 + 1
Answer:
irrational
Step-by-step explanation:
pi itself is irrational, so adding something to it makes no difference
Answer: Irrational
Step-by-step explanation: The sum of two rational numbers is
✔ always rational.
The sum of a rational number and an irrational number is
✔ never rational.
The product of a rational number and an irrational number is
✔ always irrational.
The product of two rational numbers is
✔ never irrational.
Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”
18+pi = irrational
A repeating decimal + A fraction =rational
3/13 x sqrt 52 =irrational
I have more q if you get this right will Pay 5 everything is in the picture also leave your contact info.
Answer:
bottom right and the middle one from the left
Answer:
c
Step-by-step explanation:
Find the volume of the composite solid below.
4 in.
4 in.
5 in.
5 in.
5 in.
Answer:
326.06 in^3
Step-by-step explanation:
Volume of the cylinder = [tex]\pi[/tex] · [tex]r^{2}[/tex] · h
Volume of the cylinder = [tex]\pi[/tex] · [tex]4^{2}[/tex] · 4
Volume of the cylinder = [tex]\pi[/tex] · 16 · 4
Volume of the cylinder = [tex]\pi[/tex] · 64
Volume of the cylinder = 201.06 in^3
Volume of the composite = length · width · height
Volume of the composite = 5 · 5 · 5
Volume of the composite = 125 in^3
201.06 + 125 = 326.06 in^3
Randy ate 29 crackers in 4 minutes. At what RATE did Randy eat?
Answer:
7 1/4 cookies per minute
Step-by-step explanation:
29/4 = 7 1/4
Answer:
7.25
Step-by-step explanation:
29/4
Find two integers whose sum is -10 and product is 16
TWO INTERGES PLEASE
Answer:
-2 and -8
Step-by-step explanation:
-2 + (-8) = -10
-2 * -8 = 16
Find the slope of the line that passes through (2 2) and (-1 -2)
Answer:
4/3
Step-by-step explanation:
The formula is (y1-y2) /(x1-x2)
Answer:
slope = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (- 1, - 2)
m = [tex]\frac{-2-2}{-1-2}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
2x + z = 46
3z= 18
2y + z= 40
Answer:
x=20, y=17, and z=6 or (20,17,6)
Step-by-step explanation:
Hi there!
We're given the system of equations:
2x+z=46
3z=18
2y+z=40
and we need to solve for x, y, and z
first, let's find the value of z, as we have z by itself (no other variables) in 3z=18
divide both sides by z
z=6
the value of z is found :)
now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x
2x+6=46
subtract 6 from both sides
2x=40
divide by 2
x=20
Finally, let's find y
once again, we can substitute z as 6 in the equation 2y+z=40 to find y
2y+6=40
subtract 6 from both sides
2y=34
divide by 2
y=17
so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)
Hope this helps! :)
Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided
Answer:B
Step-by-step explanation:
A(3;4) in the parabola.
The answer B: y=(x-3)^2 +4.
y=yA=4; x=xA= 3
=> 4=(3-3)^2+4 (right)
Solve the proportion
[tex]y = \frac{28}{5} [/tex]
Answer:
[tex]y=5.6[/tex] or [tex]y=28/5[/tex]
Step-by-step explanation:
4/5 = y/7
⇒ Cross multiply:
4 × 7 = 5 × y
⇒ Multiply 4 × 7 & 5 × y:
[tex]28=5y[/tex]
⇒ Solve the formed equation:
[tex]28=5y[/tex]
⇒ Move all the terms containing y to the right side and the other values to the left side:
⇒ Add '-5y' to each side of the equation:
[tex]28+-5y=5y+-5y[/tex]
⇒ Combine like terms: [tex]5y+-5y=0[/tex]
[tex]28+-5y=0[/tex]
⇒ Add '-28' to each side of the equation:
[tex]28+-28+-5y=0+-28[/tex]
⇒ Combine like terms: [tex]28+-28=0[/tex]
[tex]0+-5y=0+-28[/tex]
[tex]-5y=0+-28[/tex]
⇒ Combine like terms: [tex]0+-28=-28[/tex]
[tex]-5y=-28[/tex]
⇒ Divide each side by '-5':
[tex]y=5.6[/tex] or [tex]y=28/5[/tex]
hope this helps :)
josh desposited $1,500 into an account that earns 6% simple interest every year. how much money would be in his account after 20 years ?
Answer:
Step-by-step explanation: example:
Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result: The principal was $500.
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months
STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
Point T is on
SU ST=20 and TU=8
what is SU?
nyatakan nilai digit 3 dalam asas sepuluh, bagi nombor 22314 asas 5
Answer:
75
Step-by-step explanation:
22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75
Parrel lines and angles how do I do this one
Answer:
Step-by-step explanation:
if two lines are parallel and a transversal cuts it,then corresponding angles are equal.
?=130°(corresponding angles)
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
six and one over twelve
Step-by-step explanation:
1/4 + 5 5/6=1/4+35/6 = 6 1/12
step 3 35
6
step 4 answer = 35
6
using appropriate properties find the value of 3/5×(-3)/10+1/15-3/5×1/5 please help me out
3/5×(-3)/10 + 1/15 - 3/5×1/5 = -7/30 ≅ -0.2333333
I hope this helps!
can you help answer these:
1) (-3 ) * ( + 3 ) = ___
2) ( - 3) * ( - 3)= ______
3) ( + 20 ) ( + 5) = ____
4) ( + 21 ) ( - 3 ) )= ___
5) (-2) * (+3) * (- 4) = ___
Answer:
1) -3 x 3=-9
2) -3x-3=9
3)20x5=100
4) 21x-3=-63
5) -2x3x-4=24
note: negative x positive= negative
negative x negative=positive
positive x positive= positive
Step-by-step explanation:
hope this is helpful
Step-by-step explanation:
(-3)*(1+3) = -9 (-3)*(-3) = 9(+20)(+5) =100(+21)(-3) = -63(-2)*(+3)*(-4) = 24
Find the value of x in the given
right triangle.
12
x = [?]
X
62°
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
You divide 62/12=5.166
Sin0=12/37 find tan0
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provide - Sin θ = [tex] \frac{12}{37} [/tex] which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = [tex] \tt{ \frac{p}{h}} [/tex] ] . We're asked to find out tan θ ].[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]
[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]
[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]
[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]
[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]
[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]
Now , We know - Tan θ= [tex] \tt{ \frac{perpendicular}{base} }[/tex]. Just plug the values :[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
choose the correct range for the quadratic function?
The range just means the y-output of the function, ie the y values.
You can see that the function curves up to y=2 and then curves back down, but doesn't go above y = 2.
So the second option is the correct one, because the y-values of the function go from infinity up to y=2, but not above y=2 hence the ≤ sign.
Area of base=
A)8 square units
B)6 square units
C)12 square units
Answer:
its 8
Step-by-step explanation:
4 times 2 is 8 and you cant get 6 or 12
Answer:
A
Step-by-step explanation:
Area of base = length x width = 4 * 2 = 8 square units
