Answer:
a) probability that neither is Tay-Sachs carrier is 0.9298
b) the probability that both are carriers is 0.001276
Step-by-step explanation:
Given that;
1 in 28 people of Ashkenazi jewish descent are Tay-Sachs carrier.
so P(Carrier) = 1/28 =
also P( Not a carrier) = 1 - 1/28 = 0.9643
Now After Sampling 1 man and 1 woman from the population;
a)
the probability neither is Tay-Sachs carrier
P( Neither is a Carrier) = 27/28 × 27/28 = 0.9298
Therefore probability that neither is Tay-Sachs carrier is 0.9298
b)
the probability both are carriers
P( Both are Carriers) = 1/28 × 1/28 = 0.001276
Therefore the probability that both are carriers is 0.001276
The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.
What percentage of seniors scored between 390 and 590 on this SAT test?
Answer:
The value is [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 490[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as
[tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]
=> [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1 and -1 is
[tex]P(Z< 1 ) = 0.84134[/tex]
and
[tex]P(Z< - 1 ) = 0.15866[/tex]
[tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]
=> [tex]P( 390 < X < 590) = 0.6827[/tex]
Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as
=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]
=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]
9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)
Answer:
I the answer is number 3
x(x-7)+4(x-7)
x²-7x + 4x-28
=x²-3x-28
(x+4)(x-7)
x²-7x+4x-28
=x²-3x-28
(x-7)(x+4)
x²+4x-7x-28
=x²-3x-28
x2 – 3x – 28
the factored form is
=(x+4)(x-7)
A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?
Answer:
528 miles
Step-by-step explanation:
First, we need to figure out how many miles it drives in 1 hour:
480 divided by 4 = 120
now, we add 12 to 120: 120 + 12 = 132
132 x 4 = 528
hope this helped have a great day/night!! :'')
I need step by step help on how to work out this percentage question
Answer:
$15.7, $141.3Step-by-step explanation:
Discount
157*0.1 = $15.7Sale price
157 - 15.7 = $141.3If x= time in minutes, y= distance in miles, and y=1/6x. How far can you run 5 points
in 3 hours? Please please help
Answer: 30 miles
Step-by-step explanation:
3 hours is 180 minutes.
y=1/6(180)
y=30 mi
3.3 Practice - Piecewise Functions
Find the value of the given function at the indicated domain value.
-X2 - 5x + 2, x < 1
2x2 - 2x + 1,
xs-6
g(x) = x3 - 5x, 1 < x < 11
h) =
3x – x3 -3
3x - 16,
X > 11
(2x - (x - 100
x > 1
1. g(1) =
2. g(11) =
3. h(5) =
4 h(-10) =
5. g(-1) =
6. h(0) =
7. g(20) =
8. h(-4)=
Answer:
Step-by-step explanation:
1. g(1) = (1)³ - 5(1) = - 4
2. At x = 11 function g(x) is not defined,
3. h(5) = 2(5) - | 5 - 10 | = 5
4 h( - 10) = 2( - 10)² - 2(- 10) + 1 = 221
5. g(- 1) = - (- 1)² - 5(- 1) + 2 = - 1 + 5 + 2 = 6
6. h(0) = 3(0) - (0)³ = 0
7. g(20) = - √[3(20) - 16] = - 2√11
8. h(- 4) = not defined
The value of each function is shown below.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
From the given function we can find the values as:
g(1) = x³ - 5x
g(1) = 1³ -5 = -4
2. For x= 11 the function g(x) is not defined.
3. h(5) = 2x - |x -10|
h(5) = 4
4. h(-10) = 2x² - 2x + 1
h(-10) = 221
5. g(-1) = -x² -5x + 2
g(-1) = 6
6. h(0) = 3(0) - (0)³
h(0) = 0
7. g(20) = - √[3(20) - 16]
g(20) = - 2√11
8. h(- 4) is not defined for the function h(x).
Learn more about function here:
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Calculator
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What is the value of x?
D
3
Enter your answer in the box.
с
4
B
X =
Terdapat tiga bikar iaitu A, B dan C. Isipadu air didalam bikar C adalah dua
kali ganda isipadu air dalam bikar B. Selepas itu,
[tex] \frac{1}{4} [/tex]
daripada isipadu di dalam
bikar A dituang kedalam bikar B dan baki dituang kedalam bikar C. Isipadu
didalam bikar B dan C seterusnya masing-masing menjadi 400ml dan
1000ml. Apakah isipadu bikar A, B dan C sebelum air di dalam bikar A
dituang ke dalam bikar B dan C.
What is 50 decreased by 50%
Answer:
25
Step-by-step explanation:
50% (1/2) of 50 is 25
50-25=25
Answer:
i 100% sure it 25
Step-by-step explanation:
Find the rate of change for the function h(x) = 2–x on the interval –2 ≤ x ≤ -1.
0
-2
4
Plz!!! i really need help with this
Answer:
3002
Step-by-step explanation:
i hope i helped
UH HELP- KAKAKAKAKAJAJ
Answer:
x=1 .................
Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?
Answer:
$177.93
Step-by-step explanation:
Answer:
The check is 177.93$
Step-by-step explanation:
I did 25.64+152.29= 177.93
U can check it by doing -25.64+177.93
∠7 and angle ______ are supplementary??
a.)∠5 W
b.)∠13 K
Answer:
b angle 13
Step-by-step explanation:
I'm pretty sure
Answer:
a). ∠5
Step-by-step explanation:
both angles ∠7 and ∠5 together add up to 180°
I will give brainliest!!!
Answer:
The price ticket that we know is the adult ticket. The coupon shows that the ticket is good for $28.00. In the redd it shows that you save 4 dollars, so just add 4 to the 28 and the ORIGINAL price of the adult ticket is $32.00.
To find the price of the children's tickets, start with subtracting $28 (this is the price of the adult ticket) from the total of $76 (this is the total number of all the tickets combined).
76 - 28 = 48
Now divide that by 2
48/2 = 24$
So it was $24 per child
you deposit 10,000 in an account that pays 3% annual interest compounded monthly. How much will you have in 5 years?
Answer:
$2,833.59
Step-by-step explanation:
1 $10,000.00 $10,000.00 $511.64 $0.00 $10,511.62 $10,000.00
2 $10,000.00 $10,511.62 $537.79 $0.00 $11,049.41 $10,000.00
3 $10,000.00 $11,049.41 $565.30 $0.00 $11,614.72 $10,000.00
4 $10,000.00 $11,614.72 $594.23 $0.00 $12,208.95 $10,000.00
5 $10,000.00 $12,208.95 $624.63 $0.00 $12,833.59 $10,000.00
Answer:
How do i take questions down like this one?
Step-by-step explanation:
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D divides in the ratio 4 : 5, the coordinates of point D are .
Answer:10,-4 and 58/9,-2
Step-by-step explanation:
Plato users
Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept
slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4
y = 4x+b
3=4(1)+b
3=4+b
-1 =b
y=4x-1
f(x)=4x-1 slope = 4
g(x)=2x -7 slope = 2
b) y intercept for f(x) is -1
and g(x) is -7
so f(x) is having greater y intercept
Please answer this correctly without making mistakes
Answer:
First figure out how many cups are in a gallon. 16 .
Next multiply 16×3= 48
Finally you divide price per cup or 20.16/ 48.
The cost is .42 cents per cup.
Jason is 22 years older than his sister Ann. In 4 years, he will be twice as old as Ann. How old is each of them now?
Answer:
im not sure if this is rite
Step-by-step explanation:
jason=a+22
ann=a
a+22+4=2a+4
a+26=2a+4
a=22
13,84,85 are the last ones please help
Answer:
49,36,85
Step-by-step explanation:
c in step 4 comes from step 3... 49+36
a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36
The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.
Answer:
124345
Step-by-step explanation:
A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?
Answer: 325
Explanation:
Let the number of adult tickets be x
( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)
Let the number of student tickets be x+60
710=x+x+60
710=2x+60
-60 -60
650=2x
650/2
= 325
Adult tickets=325
Student tickets=385
8. Two alarms ring simultaneously
3am in the morning. The first alarm rings every 20
minutes while the second alarm rings
every hour. What time will the two alarms
ring at the same
time for the third time?
HELP ME PLEASEEEEEESS
Answer:
b
Step-by-step explanation:
pls help meeeeeeeeeeee
Answer:
C.
Step-by-step explanation:
It's hard to explain, but trust me :)
5 is subtracted by 4 times a number. 4 times a number is 4x, because x is the unknown number. That would be 4x-5
Then, it says that 4x-5 is greater than 8 times a number. Again, 8 times a number is 8x because x is the unknown number.
And remember, > is greater than, and < is less than.
Hopefully you understand this problem for another time.
Which of these points is closest to the point (7,1)?
Answer:
6,7
Step-by-step explanation:
1+3 pls help me nowwwww
Answer:
4
Step-by-step explanation:
3=1+1+1,
1+1+1+1=4 :p
what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0
Answer:
y=0x-5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
The area of a rectangular parking lot is 4947 m2.
If the length of the parking lot is 97 m, what is its width?
Width of the parking lot:
The perimeter of a rectangular pool is 304 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
Answer:
1. width = 51 m
2. length = 84 m
Step-by-step explanation:
So remember, the area is (length * width).
It is given that the length is 97, and the area is 4947.
So plug this into a formula:
length * width = area
97 * width = 4947
Solve using inverse operations;
97 * width = 4947
/97 /97
width = 51m
The perimeter of a rectangle can be found by doing, (2 * (length + width)).
The width is given, it is 68m. The perimeter is also given, 304m. So just form an equation using this information:
2 * ( length + width) = perimeter
2 * (length + 68 ) = 304
Distribute;
2 * ( length + 68) = 304
2 length + 136 = 304
Inverse operations;
2length + 136 = 304
-136 -136
2length = 168
/2 /2
length = 84m
Answer:
The answer for number 1 is width = 51 m
The answer for number 2 is length = 84 m
Step-by-step explanation:
Whoever does will get brainiest. And extra points
A person can walk at a rate of 2 ½ miles per hour. How long would it take the person to walk 10 miles? *
1 point
15 minutes
4 hours
10 hours
25 hours
2. A certain map uses a scale of 1 inch equals 25 miles. How many miles are represented by 5 inches on this map? *
1 point
5
25
50
125
3. A company makes 5 blue cars for every 3 white cars it makes. If the company makes 15 white cars in one day, how many blue cars will it make? *
1 point
9
13
17
25
4. Miranda enlarged a picture proportionally. Her original picture is 4cm wide and 6 cm long. If the new, larger picture is 10 cm wide, what is its length? *
1 point
8 cm
12 cm
15 cm
20 cm
5. The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
1 point
$10.00
$10.50
$13.50
$16.00
6. A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
1 point
0.5 cm
4.5 cm
75 cm
225 cm
7. Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book? *
1 point
16 hours
18 hours
24 hours
32 hours