The percentage of obese children aged 12-19 years in the United States is approximately P(t) = 0.04t + 4.6 if 0 ≤ t < 10 −0.01005t2 + 0.945t − 3.4 if 10 ≤ t ≤ 30 where t is measured in years, with t = 0 corresponding to the beginning of 1970. What was the percentage of obese children aged 12-19 at the beginning of 1975? At the beginning of 1985? At the beginning of 1990?† (Round your answers to two decimal places.) 1975 % 1985 % 1990 %
Answer:
1975------ 4.8%
1990 ------ 11.48%
1985 ------ 8.51%
Step-by-step explanation:
Given
[tex]P(t) = 0.04t + 4.6[/tex] if 0 ≤ t < 10
[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex] if 10 ≤ t ≤ 30
Where
t:=0 implies year = 1970
Solving (a): Beginning of 1975.
First, we calculate the value of t
[tex]t = 1975 - 1970[/tex]
[tex]t = 5[/tex]
This falls in the range: 0 ≤ t < 10
So:
[tex]P(t) = 0.04t + 4.6[/tex]
[tex]P(5) = 0.04 * 5 + 4.6[/tex]
[tex]P(5) = 4.80[/tex]
Solving (b): Beginning of 1990.
[tex]t = 1990 - 1970[/tex]
[tex]t = 20[/tex]
This falls in the range: 10 ≤ t ≤ 30
So:
[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]
[tex]P(20) = -0.01005*20^2 + 0.945*20 - 3.4[/tex]
[tex]P(20) = 11.48[/tex]
Solving (c): Beginning of 1985
[tex]t = 1985 - 1970[/tex]
[tex]t = 15[/tex]
This falls in the range: 10 ≤ t ≤ 30
So:
[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]
[tex]P(15) = -0.01005*15^2 + 0.945*15 - 3.4[/tex]
[tex]P(15) = 8.51375[/tex]
[tex]P(15) = 8.51[/tex]
what is a single term algebraic expression is called?
Is KLMN below a rectangle?
Carol has a choice of an account that compounds quarterly and an account that compounds daily.
If they both have the same interest rate, which will earn more interest?
The account that compounds quarterly.
The account that compounds daily.
They will both earn the same interest
Answer: The account that compounds daily.
Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.
- The two rectangles shown have equal areas. Find the value of x.
9 ft
4 ft
(6x + 6) ft
4x ft
Find the missing angle of each triangle.
Answer:
1 is 64
2 is 85
3 is 56 hope this helps
Step-by-step explanation:
also how give brainly i want to give u brainly
Mendel formulated the law of independent assortment as his second law of inheritance. It involvestwo genes independently segregated during reproduction, each independently determining one aspectof the phenotype. In one experiment, Mendel crossed pea plants producing yellow, round seeds withpea plants producing green, wrinkled seeds. The first generation resulted in only plants producingyellow, round seeds. Self-crossing of the F1 yielded the following phenotypes in F2:
Phenotype Yellow Round Yellow Wrinkled Green Round Green wrinkled Counts 315 101 108 32 Assuming two independent genes, each with dominant allele and a recessive allele, we would like to find a 9:3:3:1 phenotype ratio.
a. What are the null and alternative hypotheses for chi-square goodness-of-fit test?
b. What are the expected counts under the null hypothesis?
c. Calculate the value of the chi-square test statistic.
d. Do the data agree with Mendel’s second law of genetic inheritance?
e. Compare your results by chisq.test in R to perform the test?
Step-by-step explanation:
total = 315+101+108+32 = 556
total ratio = 9+3+3+1 = 16
1.
h0 : data follows ratio 9:3:3:1
h1: data does not follow ratio 9:3:3:1
2. expected counts under h0
Ei = expected count, i = 1,2,3,4
count 315
ratio = 9
Ei = 9*556/16
= 312.75
count 101
ratio = 3
Ei = 3*556/16
= 104.25
count 1o8
Ei 3 x 556/16
= 104.25
count 32
= 1*556/16
= 34.75
total = 312.75+104.25+104.25+34.75 = 556
c. value of chi² test stat
a. Oi = 315
Ei = 312.75
X² = (315-312.75)²/312.75
= 0.01618705
b. (101-104.25)²/104.25
x² = 0.101318944
c. (108-104.25)²/104.25
= 0.134892086
d. (32-34.75)²/34.75
= 0.217625859
Chi² test stat = 0.01618705+0.101318944+0.134892086+0.217625859
= 0.470023981
n = 4
df = 4-1 = 3
test stat = 0.4700
critical x² = 7.814736
p value = 0.9254
α < pvalue
0.05<0.9254
we therefore fail to reject the h0. we conclude that it follows 9:3:3:1
d. yes it agrees with this law
a rectangular prism has a lenth of 2/3,a width of 1/2 and a height of 1/3 find the volume
Answer:
2/18 = 1/9
Step-by-step explanation:
2/3 x 1/3 = 2/9
2/9 x 1/2 = 1/9
which set does square 7 belong to? integers and irrational numbers irrational and real numbers real and rational numbers rational and whole numbers
Answer:
Rational and whole numbers
Step-by-step explanation:
7x7=49 which is a whole number which automatically makes it rational!
If
f(x) = 9x
- 6 and
g(x) = x - 4, which statement is true?
Click on the correct answer.
1 is in the domain of fºg.
1 is not in the domain of fºg.
Answer: 1 is not in the domain of f g.
Step-by-step explanation:
A.63
B.54
C.99
D.126
Answer:
C
Step-by-step explanation:
Area = (8 + 14) x 1/2 x 9
Area = 22 x 1/2 x 9
Area = 11 x 9
Area = 99
Hope that helps!
-Sabrina
Find the distance, c, between (0, –4)
and (1, 5)
on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
d ≈ 9.05Steps:
d = √( (1-0)² + (5-(-4)² )
d = √( 1² + (5+4)² )
d = √( 1 + 9² )
d = √( 1 + 81 )
d = √82
d ≈ 9.05Algebra 2
Could u help me pls
Answer:
log150=2.1716091259
Step-by-step explanation:
Press it on your calculator
Axis of sym: x =
Vertex: (
,
)
Do not do the domain
Range: Pick one: A. y≥4 B. y<4 C. y≤4 D. y≤−2 E. y<−2
The Range is
Zeros:
and
Equation:
Answer:
SEE BELOWStep-by-step explanation:
to understand thisyou need to know about:quadratic functionPEMDASlet's solve:vertex:(h,k)
therefore
vertex:(-1,4)
axis of symmetry:x=h
therefore
axis of symmetry:x=-1
to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0vertex form of quadratic equation:
y=a(x-h)²+ktherefore
y=a(x-(-1))²+4y=a(x+1)²+4it's to notice that we don't know what a is
therefore we have to figure it out
the graph crosses y-asix at (0,3) coordinates
so,
3=a(0+1)²+4
simplify parentheses:
[tex]3 = a(1 {)}^{2} + 4[/tex]
simplify exponent:
[tex]3 = a + 4[/tex]
therefore
[tex]a = - 1[/tex]
our vertex form of quadratic equation is
y=-(x+1)²+4let's simplify it to standard form
simplify square:
[tex]y = - ( {x}^{2} + 2x + 1) + 4[/tex]
simplify parentheses:
[tex]y = - {x}^{2} - 2x - 1 + 4[/tex]
simplify addition:
[tex]y = - {x}^{2} - 2x + 3[/tex]
therefore our answer is D)y=-x²-2x+3
the domain of the function
[tex]x\in \mathbb{R}[/tex]
and the range of the function is
[tex]y\leqslant 4[/tex]
zeroes of the function:
[tex] - {x}^{2} - 2x + 3 = 0[/tex]
[tex] \sf divide \: both \: sides \: by \: - 1[/tex]
[tex] {x}^{2} + 2x - 3 = 0[/tex]
[tex] \implies \: {x}^{2} + 3x - x + 3 = 0[/tex]
factor out x and -1 respectively:
[tex] \sf \implies \: x(x + 3) - 1(x + 3 )= 0[/tex]
group:
[tex] \implies \: (x - 1)(x + 3) = 0[/tex]
therefore
[tex] \begin{cases} x_{1} = 1 \\ x_{2} = - 3\end{cases}[/tex]
pls help!!!!!!!!!!!!!!!!
Answer:
f(2) = 75
f(6) = 4091
Step-by-step explanation:
How do you find the x-intercept of a parabola?
WILL MARK!! pls help:)
Find x and y so that ABCD will be a parallelogram.
Answer:
your answer will be B. 46
Step-by-step explanation:
hope it helps you...
have a great day!!!
The value in dollars, v(x), of a certain car after x years is represented by the equation vx=25,0000.86x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
Explanation is in the file
tinyurl.com/wpazsebu
Answer: The car is worth $ 2,588.6 after two years than after 3 years.
Step-by-step explanation:
x=2
v(x)=25,000(0.86)^2
v(x)=18,490
x=3
v(x)=25,000(0.86)^3
v(x)=15,901.4
18,490 - 15,901.4= 2588.6
WILL MARK! Please help:)
Find x so that this quadrilateral is a parallelogram.
Answer:
46
Step-by-step explanation:
Answer:
46 bc the angles across from each other are the same in a parallelogram
HELP ASAP !
Division Review:
There are 152 students in 4th
grade. They are going on a field
trip to the Bronx Zoo. The bus
can hold 20 students. How many
busses to they need so ALL
students can go?
a. 7 buses
b. 7 R 12
c. 8 buses
Answer:
C. 8 buses
Step-by-step explanation:
152/20=7 R 12
We can't have the 12 students not go! So we need 8 buses.
Hoped I helped, have a nice day!
A store regularly sold 2 cans of coup for $0.64. It advertised a special sale of 6 cans for $1.56. A customer bought 12 cans at the sale. How much did the customer save over the regular price?
Help Please!
Given the equation of the function
f(x) = 950(.85)^x
What percent decrease does the function represent?
A. .15%
B. 15%
C. 85%
D. 99.15%
Answer:
My answer may be wrong, but from what I did I think its B
Step-by-step explanation:
Answer:
fifteen percent xx
Step-by-step explanation:
work out the circumference of this circle
give your answer in terms of pi and state its units
14cm
Answer:
43.96
Step-by-step explanation:
Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.
Answer:
14π cm
Step-by-step explanation:
Circumference of the circle
= 2πr
= 2π(14/2)
= 14π cm
3
A Rubik's Cube has a volume of 10 cm
1) Write an equation to find the length of the sides.
2) Find the length of the side to the nearest tenth.
Answer:
The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Step-by-step explanation:
Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:
X ^ 3 = 10
X = 3√ 10
X = 2.15
Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?
Answer:
3 feet
Step-by-step explanation:
If the length is 4 feet, there are two lengths so you get 8
14-8= 6
Because there are two widths, you do 6 divided 2 and you get 3 feet
Find the value of x.
The answer would be x=18. First you set it up by setting up an equation;
166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.
The largest
apple pie has
radius of 20
feet. What was
its area?
plzz help really fast
Answer:
the answer is 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Let's do it step by step:
[tex]-16(-5\frac{1}{2} \div 2\frac{3}{4}) = -16(\frac{-5\frac{1}{2}}{2\frac{3}{4}}) = -16(\frac{-\frac{11}{2}}{\frac{11}{4}}) = -16(-\frac{4}{2}) = -16\cdot(-2) = 32[/tex]
what is the difference in hours and minutes between these times 10:35 2:40
Answer:
10:35
11:35
12:35
1:35
2:35
=Thats 4 hours
and then 40-35=5
So 4hours 5 minutes
Answer:
yeah
Step-by-step explanation:
im reply cause I want to ask a questionbx
QR has a midpoint at M(8,8). Point R is at (10, 10). Find the coordinates of point Q. Write the coordinates as decimals or integers.
Answer:
Point Q: ( 6, 6)
Step-by-step explanation:
(10, 10)
- 2 (8, 8)
( 6, 6)
Answer:
Point Q is at (6, 6).
Step-by-step explanation:
Segment QR has a midpoint M at (8, 8).
Point R is at (10, 10), and we want to determine the location of Point Q.
First, recall that the midpoint is given by the formula:
[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]
We will let R(10, 10) be (x₁, y₁). We are also given that M is at (8, 8). Therefore:
[tex]\displaystyle (8, 8)=\Big(\frac{10+x}{2}, \frac{10+y}{2}\Big)[/tex]
This gives us two cases:
[tex]\displaystyle \frac{10+x}{2}=8\text{ and } \frac{10+y}{2}=8[/tex]
Solve for each case. Multiply both sides by 2:
[tex]10+x=16\text{ and } 10+y=16[/tex]
And we can subtract 10 from both sides:
[tex]x=6\text{ and } y=6[/tex]
Therefore, Point Q is at (6, 6).