Answer:
Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis.
Given the three events, which of the following statements is true?
Select all that apply.
Event A: The mother or father carries the recessive gene.
Event B: The father carries the recessive gene.
Event C: The baby is at risk for Cystic Fibrosis.
Select all that apply:
Event A and Event B are mutually exclusive.
Event B and Event C are mutually exclusive.
Event A and Event C are not mutually exclusive.
Event A and Event C are mutually exclusive.
Event A and Event C are not mutually exclusive.
Remember that in general, A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.
In this question, note that if the mother or father carries the recessive gene for cystic fibrosis, the baby is at risk. So here, A and C are not mutually exclusive, and B and C are not mutually exclusive.
A and B are not mutually exclusive because they share an outcome: the father carrying the recessive gene.
Step-by-step explanation:
Cliff earns $15 for each hour that he works as a television sales person plus an additional $10 for each television that he sells which of the following represents the amount cliff earns , in dollars, if he sells n television and works h hours ?
Answer:
15h+10n
Step-by-step explanation:
You forgot to list the equations.
10 * n = 10n = $ paid for amount of televisions sold
15 * h = 15h = $ paid for hours worked
15h + 10n = Total amount paid
The answer for n television sold and h hours working is 15h +10n.
Expression:
An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations
Given that
Cliff earned for one hour = $15
Therefore for h hours = 15h
Also he earned additional for each television sold = $10
Therefore for n television sold = 10n
How to add the algebraic terms?Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.
Therefore the total earning is the addition of both
15h + 10n
The final answer is 15h + 10n
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Find the cardinal number of the set:
C={1/x x is an integer that's greater than or equal to 4 and less than or equal to 9}.
Answer: 6
Step-by-step explanation:
Ok lemme actually format this set
[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]
Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just
[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]
which has cardinality [tex]\boxed{6}[/tex] .
A farmer uses two types of fertilizers. A 50lb bag of fertilizer A contains 6 lb of nitrogen and 3lb of phosphorus. A 50 lb bag of fertilizer B contains 4 lb each of nitrogen and phosphorus. The minimum requirements for a field are 480 lb of nitrogen and 240 lb of phosphorus. If a 50lb bag of fertilizer A costs $35 and a 50 lb bag of fertilizer B costs $25 find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. mathematically formulate and state the problem.
Answer:
Fertilizer A = 20, Fertilizer B = 56
Step-by-step explanation:
Step 1: Set up the equations
Nitrogen: 8x + 5y ≥ 440
Phosphorous: 2x + 5y ≥ 260
Potassium: 4x + 5y ≥ 360
Step 2: Find the vertices
It is easiest to graph the equations to find the vertices. (see attachment). You can also solve each system of equations to find the intersected points.
The following satisfy the "greater than or equal to" requirement:
(0, 88) → y-intercept of Nitrogen equation
(20, 56) → intersection of Nitrogen and Potassium equations
(50, 32) → intersection of Phosphorous and Potassium
(130, 0) → x-intercept of Potassium
Step 3: Use vertices in cost function C(x) to find the minimum
C(x) = $30x + $20y
(0, 88): $30(0) + $20(88) = $1760
(20, 56): $30(20) + $20(56) = $1720 ← This is the minimum!
(50, 32): $30(50) + $20(32) = $2140
(130, 0): $30(130) + $20(0) = $3900
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.
Find the area of the square below when it is increased by a scale factor of 3
Answer:
To find the area of a square with the scale factor of 3, you multiply the side lengths by 3, so (3*L)*(3*W)= Area of your square.
Step-by-step explanation: I hope that this helps, ask questions in the comments below.(if you have any).
The area of the imagined square will be 90 units² by increased with a scale factor of 3.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
As per the imagined square with dimensions of 10 units.
Applied the scale factor 3 in the length of the square(since it has only one dimension).
10 x 3 = 30 units.
Thus, each side of the square will be 30 units in length.
Hence "By adding a scale factor of 3, the envisioned square's area will expand to 90 units²".
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Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let A represent the amount Company A would charge if Bentley drives x miles, and let B represent the amount Company B would charge if Bentley drives x miles. Graph each function and determine the interval of miles driven, x for which Company A is cheaper than Company B.
give me to point for example (4.6) and (5,7 ) my graph is y-axis is 200 and x-axis is 100
Company A is cheaper than Company B when x < or> ______
miles
dollars
dollars per mile
mile per dollar
Answer:
Company A is cheaper than Company B when x > 40 miles
Step-by-step explanation:
What is the quotient of 0 and 15?
15
-15
0
Undefined
ANSWER :
it's 0Step-by-step explanation:0 / 15 = 0 + 0/15 = 0
Which equation represents the data in the table shown?
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x - 3
Answer:
C
Step-by-step explanation:
the y-axis is getting smaller by 2 so its -2 and the x-axis is getting bigger by 1 so its -2 times 1 which is -2 but then 0=3 so the equation would be y = -2 + 3 :)
Find The nth Term of this number sequence
18, 16, 14, 12
a = 18
d = 16 - 18 = - 2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
30 POINTS WILL MARK BRANLIEST FOR FIRST REPLY
find x using the pictures below
The left pic :
[tex]x = 46 \times \cos(70°) [/tex]
[tex]x = 46 \times 0.342[/tex]
[tex]x = 15.732[/tex]
_____________________________________________
The right pic :
[tex] \tan(18°) = \frac{15}{x} \\ [/tex]
[tex]0.325 = \frac{15}{x} \\ [/tex]
Thus :
[tex]x = \frac{15}{0.325} \\ [/tex]
[tex]x = 46.1538[/tex]
There u go ...
Have a great day ❤
Evaluate the expression 61
Answer:
61 + 8 is 69 and that is a funny number
Answer: if i get this correct mark me the brainlist promise
Step-by-step explanation:6+x=12To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Example
Calculate the following expression for x=3 and z=2
6z+4x=?
Solution: Replace x with 3 and z with 2 to evaluate the expression.
6z+4x=?
6⋅2+4⋅3=?
12+12=24
Which expression is equivalent to this polynomial expression?
(5ry2 + 3x2 – 7) + (3.272 – 142 + 3y2 + 4)
Answer:
Step-by-step explanation:
the answer is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps
which one of the congruency statements are true?
Answer:
line segment BC=line segment XY
Step-by-step explanation:
The last choice :)
Assume that a set of test scores is normally distributed with a mean of 80 and a standard deviation of 10.
Use the 68-95-99.7 rule to find the following quantities.
a. The percentage of scores less than 80 is _%.
Answer:
I don't know
Step-by-step explanation:
epic gamer question, i'll mark brainlist
Answer:
64 gametos 5354vf,ffekbvgvbvh
There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added
Answer:
i will clear you.
Step-by-step explanation:
Given:-
Marbels we have =30
when we add marbels =5
Now,
or,30+5
A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips
Answer 12
Step-by-step explanation:
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has identical packaging, the selection will be random. What is the probability that (a) all four units are good, (b) exactly two units are good, and (c) at least two units are good?
I hope that helped?
what would the numerical answer be??
Answer:
Step-by-step explanation:
what’s the correct answer??? i will give brainlist
Answer:
yamete kudesai
Step-by-step explanation:
Answer:
I believe it's 2/4.
Step-by-step explanation:
Let me know if it's incorrect.
Find all factors of 27.
Answer:
all the factors of 27 is 1, 3 ,9,and 27
Write an equation for a rational function with:
Vertical asymptotes at x = -5 and x = 3
x-intercepts at x = -4 and x = -3
y-intercept at 3
Answer:
B
Step-by-step explanation:
An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.
Answer:
486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3
Step-by-step explanation:
1. Tim's phone service charges $27.42 plus an additional $0.18 for each text message sent per
month. If Tim's phone bill was $31.92, how many text messages did he send that months
Answer:
25 text messages
Step-by-step explanation:
First of all you need to find how much money was added to his phone bill. 31.92-27.42 would equal 4.5. Then you would divide that number by 0.18 to find out the total text messages, which is 25
Please can someone show me their working on these, as I'd really like to know where I went wrong.
Answer:
C
Step-by-step explanation:
You were on the right track, but 3-2 = 1, so the exponent of (x-4) is 1.
Answer:
C and B
Step-by-step explanation:
(6)
[tex]\frac{(x-4)^3(3x+6)}{(x-4)^2}[/tex]
Cancel (x - 4)³ on numerator with (x - 4)² on denominator
leaving (x - 4) on numerator and 1 on denominator
= (x - 4)(3x + 6) → C
--------------------------------------------------
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
4a² × 7[tex]a^{\frac{1}{2} }[/tex]
= 4 × 7 × a² × [tex]a^{\frac{1}{2} }[/tex]
= 28 × [tex]a^{\frac{4}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex]
= 28 × [tex]a^{(\frac{4}{2}+\frac{1}{2}) }[/tex]
= 28[tex]a^{\frac{5}{2} }[/tex] → B
Leah can build a brick wall in 7 hours, while her apprentice can do the job in 10 hours. How long does it take for them to build a wall together
Answer:
70/17 hours or 4 2/17 hours
Step-by-step explanation:
The equation we use is 1/7 + 1/10 = 1/x, x being the time it took them together to build. x works out to 70/17 hours
Leah and her apprentice can build the wall together in 4 2/17 hours
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Hours required by Leah to build a wall = 7 hours
So , Leah builds ( 1/7 )th of the wall per hour
Hours required by apprentice to build a wall = 10 hours
So , Apprentice builds ( 1/10 )th of the wall per hour
When they are both building the wall together , they build
( 1/7 )th + ( 1/10 )th of the wall together per hour = 1 / x
Therefore , the equation will be
1/x = 1/7 + 1/10
1/x = 17 / 70
Taking reciprocal on both sides , we get
x = 70/17
x = 4 2/17 hours
Hence , Leah and her apprentice can build a wall together in 4 2/17 hours
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Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c
9514 1404 393
Answer:
y = 2x -5
Step-by-step explanation:
The parallel line will differ only in the value of c. That can be found using the given point.
y = mx +c
c = y -mx . . . . . . subtract mx to solve for c
c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)
The equation of the parallel line is ...
y = 2x -5
Abby has $32 to spend on party supplies. After buying 9 packs of noisemakers, she has $20 left.
How much did each pack of noisemakers cost?
A
$0.75
B
$1.15
C
$1.33
D
$12.00
Answer:
$1.33
Step-by-step explanation:
32-20 = 12
12/9 = $1.33
Can someone pls help me out with this the best I can do is 50 points
When bisecting segments and angles, which step is the same?
17. The price of napkins and the number of napkins is listed in the table below.
Number of
Price of
Napkins (1) Napkins (p), in
cents
200
140
300
210
400
280
500
350
600
420
Letp represent the price of the napkins and the number of napkins. Which equation shows the
relationship between the price of napkins and number of napkins?
A.pn=7C.pn=0,7
B.np = + 70 D.pn = +100
Answer:
The question is very nice.
,Iike it.
What four digit number an i? The sum of my digits is 4. The product of my digits is 1
Answer:
4, 2, 1, 1
Step-by-step explanation: