Answer:
The statement is false.
Step-by-step explanation:
Here we need to remember some things:
Integer numbers are closed under multiplication.
This means that for two integers a and b, the product a*b is also an integer.
A rational number is a number that can be written as the quotient of two integer numbers.
An irrational number is a number that can't be written as the quotient of two rational numbers.
Now let's see the statement:
"The product of two rational numbers is irrational."
The product of two rational numbers is written as:
[tex]\frac{a}{b} *\frac{c}{d}[/tex]
Where a, c, b, and d are integers.
We can rewrite that product as:
[tex]\frac{a*c}{b*d}[/tex]
Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.
Then the product of two rational numbers is a rational number.
Then the statement is false.
Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
Answer:
P(A and B) = P(AnB)
Step-by-step explanation:
[tex]P( \frac{A}{B} ) = \frac{P(AnB)}{P(B)} \\from \: bayes \: theorem \\ P(AnB) = P(B) \times P( \frac{A}{B}) \\ = 0.45 \times 0.7 \\ = 0.315[/tex]
Answer: 0.392
Step-by-step explanation:
So P(A)xP(B|A)= P(AnB)
Plug in
0.56x0.7=0.392
If the measure of the angles in a triangle are in the ratio 3:4:5, the measure of an exterior angle of the triangle can not be
Answer:
I would use photomath if you cant find your answer.
Step-by-step explanation:
All varieties of a certain brand of cookies are $3.50. A person buys peanut butter cookies and chocolate chip cookies. A. Write two different expressions that represent the total cost of the cookies if p represents the number of peanut butter cookies and c represents the number of chocolate chip cookies. Level 3 B. Explain how each expression above describes the situation in a different way.
Pls
Answer:
A.P+C=O
A(2).P+C=$7.00
B.A (1) that expression doesnt give the amount for both sets of cookiea all together its just shown as a letter.A(2) its shows p+c as $7.00 showing thats how much for both sets of cookies instead of having a letter to represent the amount payed.
PS:hope this helped good luck !
Which of these expressions is equivalent to 3(x−2) ?
Multiple choice question.
PLZS HELP I GIVE SOMEONE A BRAINLIEST
Step-by-step explanation:
3(x-6) is the correct answer to your question :)
Answer:
3x - 6 or 3x -6
Step-by-step explanation:
it is a distrubuve property so u multiply the numbers in the bracket by 3.so 3 time x is 3x.and the other one if it is -2 it is -6 but if its just 2 it is 6.
Hope it helped.
115° X Find the unknown angle measure
Please help me :):)):):
Answer:
12
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169
169-25= 144
take the square root of 144
answer: 12
PLEASE HELP!
Now write 40,630 in scientific notation. 40,630 = ____ ____ x 10
4.063 × 10^4
........................
Answer:
4.063 x 10 to the 4th pwr
Step-by-step explanation:
Sally paid $1.50 for pounds of apples at the Grocery Mart. Fred paid $1.95 for 3 pounds of apples at the Corner Fruit Stand. How much did Sally pay per pound of apples? (enter in the format of money, do not use the $ sign) Answer value'
Part A: Sally paid less money per pound than Fred did
Part B: John paid $3.58 for 5.5 pounds of apples at the Grocery Mart
Part C: y = 0.65x
Step-by-step explanation:
Part A:
Sally: 1.5/2.5 = x/1
cross multiply: 2.5x = 1.5*1
simplify: 2.5x = 1.5
divide both sides by 2.5: x = 0.6
Fred: 1.95/3 = x/1
cross multiply: 3x = 1.95*1
simplify: 3x = 1.95
divide both sides by 3: x = 0.65
Fred paid 65¢/pound while Sally paid 60¢/pound
Part B:
price/pound*amount John bought: 0.65/1 = x/5.5
cross multiply: 1x = 0.65*5.5
simplify: x = 3.575
Part C:
y = 0.65x
In a right triangle one angle measure 28° more than the other acute angle. Use equations to solve for the measures of the two unknown angles.
Answer:
One acute angle is 31 degrees and the other acute angle is ( 31+28=) 59 degrees.
Step-by-step explanation:
In the right angled triangle one angle is always equal to 90 degrees.
Suppose <a= 90 degrees
< b= x degrees
< c= x+28 degrees
The sum of all the angles of the triangle are always equal to 180 degrees
therefore
<a+ <b+<c= 90 + x+ x+28 = 180
or
2x= 180- 28- 90
2x=62
x= 31 degrees
One acute angle is 31 degrees and the other acute angle is ( 31+28=) 59 degrees.
An acute angle is an angle which has less than 90 degrees in measurement .
Hence both angles of the right angle triangle are acute angles , 31 and 59 degrees.
Please help (no links or I will report you)
Answer:
0.60 or 0.6
Step-by-step explanation:
Divide three by five :)
3÷5= 0.6
Graph the equation.
y= 4x + 5
there should be a point on the y-axis at positive 5 and for the rest of the points go right 1 up 4 and left 1 down 4
putting the equation in desmos might help you more :)
Write an equation in standard form for a line that is perpendicular to the line with an equation of y=3x-5 that passes through the point (8,5)
Answer:
[tex]gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^{.} \times m = - 1 \\ 3m {}^{.} = - 1 \\ m {}^{.} = - \frac{1}{3} \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - \frac{1}{3} \times 8 + c \\ c = - \frac{15}{8} \\ hence \: \: y = - \frac{1}{3} x - \frac{15}{8} [/tex]
Match each equation with the step that could be used to find each solution (math) Please !
??
the scatter plot below shows the relation ship between two variables x and y which line best fits the data
Answer: 2 or 3
Step-by-step explanation:
Which ever line is going through the most points
What’s thee answer hello
What is the volume of the rectangular prism?
Rectangular prism is also called cuboid.
Given :Length = 3 feetBreadth = 6 feetHeight = 2 feetTo calculate :Volume of the rectangular prism.Calculations :Formula :
[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]
[tex] \longmapsto [/tex] Volume = (3 × 6 × 2) feet[tex]\sf ^3 [/tex]
[tex] \longmapsto [/tex] Volume = (18 × 2) feet[tex]\sf ^3 [/tex]
[tex] \longmapsto [/tex] Volume = 36 feet[tex]\sf ^3 [/tex]
Therefore,
Volume of the rectangular prism is 36 feet[tex]\sf ^3 [/tex].PLSSSSS HELP I GIVE U ANYTHING JUST PLZ HELP!!!!!!!!!!!!
Answer:
0.7
Step-by-step explanation:
Answer:
this is for scamming me
Step-by-step explanation:
What number would represent the outlier in the following set of data?
10, 13, 9, 29, 15, 11, 14, 8, 10, 11, 17, 14, 12
Answer:
29
Step-by-step explanation:
what is the positive solution to the equation 0=-x^2-x+20
Answer:
x=4 positive solution
Step-by-step explanation:
hello :
-x²-x+20 = 0
-(x²+x-20) = 0
means : x²+x-20=0
(x+5)(x-4) =0
x+5 =0 or x-4 =0
x = - 5 refused x=4 positive solution
Given that the diameter of a circle is 5 mm, find the radius of the circle.
Answer:
r=2.5mm
Step-by-step explanation:
Using the formula
[tex]\huge\underline{ \sf \: Formulae \: to \: remember \: for \: solving \: the \: question:}[/tex]
[tex] \\{ \sf radius \: of \: a \: circle = \frac{d}{2} where \: d \: is \: the \: diameter \: of \: the \: circle}[/tex]
[tex]\huge\underline{\sf Given:}[/tex]
[tex] \ \: { \sf The \: diameter \: of \: a \: circle \: is \: 5 mm.}[/tex]
[tex]\huge\underline{\sf To \: find \: out:}[/tex]
[tex] \ { \sf Radius \: of \: the \: circle}[/tex]
[tex]\huge\underline{\sf Solution:}[/tex]
[tex] \\{ \sf The \: diameter \: of \: the \: circle \: is \: 5 \: mm.}[/tex]
[tex] \\{ \sf Therefore \: radius \: of \: the \: circle}[/tex]
[tex]\\{ \sf = \frac{5}{2} \: mm} [/tex]
[tex] \\{ \sf = 2.5 \: mm}[/tex]
[tex]\huge\underline{\sf Answer:}[/tex]
[tex]\\{\sf The \: radius \: of \: the \: circle \: is \: 2.5 \: mm.}[/tex]
Please help! I'm feeling good today, I'll give you 20 points. Thanks!!
Answer:
solution:
5(4+2x)=-(x-5)-7
20+10x=-x+5-7
10x+x=-2-20
x=-22/11=-2
x=-2
so.D.-2 is your answer.
math question:
simon believes that 3^0 • 3^2 is equal to 1 because 0 • 2 = 0 and any number raised to a power of 0 is 1. Is Simon correct? Justify your response.
Answer:
Simon is incorrect
Step-by-step explanation:
3^0 is not 0, it is 1.
A way of thinking about this is if to get from 3^2 to 3^1, you need to divide by 3, then to get from 3^1 to 3^0 you need to divide by 3 again. 3 divided by 3 is 1.
This means 3^0*3^2=1*9=9
Solve the system by substitution.
x=-6y 4x + 10y = 14
Answer:
x = 6
y = -1
Step-by-step explanation:
x = - 6y ----------------------(I)
4x + 10y = 14 ------------------(II)
Substitute x = -6y in equation (II)
4*(-6y) + 10y = 14
-24y + 10y = 14 {Combine like terms}
-14y = 14 {Divide both sides by 1-4}
y = 14/-14
y = -1
Now, substitute y = -1 in equation (I)
x = - 6*(-1)
x = 6
Aaron’s class as 24 students. 1/6 of them play basketball. How many students in his class play basketball?
Answer:
4
Step-by-step explanation:
identify the type of sequence
i just need the graph ones
WILL MARK BRAINLYEST!
Answer:
your answers are correct
the first graph isgeometric
the second graph is arithmeit
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A: The net below can be folded to make a solid figure.
What is the volume, in cubic units, of the figure made by folding the net? Select the correct answer.
A. 150 cubic units
B. 125 cubic units
C. 70 cubic units
D. 25 cubic units
Part B: What is the area of the flag below?
Part C: Joe has a bicycle with a front wheel that is 2 feet in diameter. How far does Joe travel if his wheel turns exactly 100 complete revolutions in one direction? In a short paragraph, explain your work in your own words.
Answer:
that sounds hard
Step-by-step explanation:
for brainiest:):):):):):):)
Answer:
$9.75
Step-by-step explanation:
Here are two ways of solving this:
Method 1) calculate 35% of original price and subtract from original price
original price: $15
discount rate: 35%
amount of discount: 35% of $15 = 0.35 * $15 = $5.25
final price = original price - amount of discount = $15 - $5.25 = $9.75
Method 2) calculate the percent the discount amount is, and calculate the amount
original price = $15 = 100% of original price
discount rate = 35%
Since the discount rate is 35%, then 100% - 35% = 65%, meaning the sale price is 65% of the original price.
final price = 65% of $15 = 0.65 * $15 = $9.75
Answer: $9.75
The grades on a language midterm at Santa Rita are roughly symmetric with u = 77 and o = 3.5.
Tiffany scored 80 on the exam.
Find the Z-score for Tiffany's exam grade. Round to two decimal places.
Answer:
0.85
Step-by-step explanation:
The Z-score for Tiffany's exam grade will be 0.85. The value of Z score for the different distribution is different.
What is the z score?The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.
The Z score is found as;
[tex]\rm Z= \frac{x-\mu}{\sigma} \\\\ Z=\frac{80-77}{3.5} \\\\ Z=0.85[/tex]
Hence,the Z-score for Tiffany's exam grade will be 0.85.
To learn more about the Z score refer to;
https://brainly.com/question/15016913
#SPJ2
All students in first period are asked what their favorite food is bias or unbiased
Find the x-intercept and y-intercept
from the following linear equation:
-2x + 4y = -16
Answer:
x-intercept: (8, 0)
y-intercept: (0, -4)
Step-by-step explanation:
Find the interquartile range of these data.
5, 12, 9, 8, 6, 2, 6
Answer: 7
Step-by-step explanation:
