Answer:
18.The answer is 47 . 5 %
19.The answer is 83 . 85 %
Step-by-step explanation:
18 . This is a good example of normal Distribution
Z = ( Given score - Mean ) / Standard deviation
Z = (16. 36 - 15 .4 ) / 0.48
Z= 0. 96 / 0.48
Z = 2
From the table, the value of z on the right side of the normal curve
= 0.34 + 0 . 135 = 0.475
The percentage is 0. 475 x 100 = 47 . 5 %
19. We are asked to get the percentage between 13. 96 and 15. 88
Z 1 = ( 13 .96 - 15. 4 ) / 0.48
Z 1 = - 1. 44 / 0.48
Z 1 = -3
Z 2 = ( 15 . 88 - 15 . 4 ) / 0. 48
= 0. 48 / 0.48
Z 2 = 1
From the table , the value of z from - 3 to 1 is 0. 34 + 0. 135 + 0. 0235 + 0.34
= 0 .8385
The percentage is 0 . 8385 x 100 = 83 . 85 %
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]
Is KLMN below a rectangle?
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
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 ≈ 9.05plzz 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]
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
How do you find the x-intercept of a parabola?
00:00
The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each
term to the example it best describes. Each tile may be used only once.
Representative Sample
Population
NOT a Representative Sample
Term
Example
Drivers who reside in Middlefield
Residents of Middlefield
Residents randomly chosen from the town register
Answer:
Matching Tiles with Terms:
Term Example
NOT a Representative Sample Drivers who reside in Middlefield
Population Residents of Middlefield
Representative Sample Residents randomly chosen from the
town register
Step-by-step explanation:
Population includes all the residents of Middlefield.
Representative Sample is a population subset that accurately reflects the characteristics of the population. For example, the subset of residents who are randomly chosen from the town register is an unbiased and representative sample.
NOT a Representative Sample: For example, drivers who reside in Middlefield do not represent the characteristics of the population of Middlefield.
Simplify:
Camilla goes to the super market and buys two apples. each apple is $1.75. Camilla has $5.00 left. write an expression to represents this problem. Don't forget to use a variable!
Answer:
[tex] \huge \boxed{ \boxed{t - 3.5 = 5}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationlet's solve:a apple costs 1.75
2 apple costs 1.75×2=3.5
let her total money be t
according to the question
t-3.5=53
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.
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.
PLEASE HELP!!
The sum of two angle measures is 180°.
Which term BEST describes the two angles?
A - adjacent
B - complementary
C - supplementary
D - vertical
Answer:
supplementary
Step-by-step explanation:
the sum of two supplementary angles is 180°. They lie in a straight line.
The term BEST describes the two angles and will be supplementary. Then the correct option is C.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The types of angles are as follows:
Two angles are said to be supplementary angles if their sum is 180 degrees.When two lines intersect, then their opposite angles are equal.Two angles are said to be complementary angles if their sum is 90 degrees.In math, two points are nearby in the event that they have a typical side and a typical vertex.The sum of the two angle measures is 180°. Then the term BEST describes the two angles and will be supplementary. Then the correct option is C.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ6
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:
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:
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!
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).
pls help!!!!!!!!!!!!!!!!
Answer:
f(2) = 75
f(6) = 4091
Step-by-step explanation:
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
House contents insurance is charged at the rate of $4.50 per thousand dollars worth of the contents. How much is the insurance if the contents are worth $13 600?
Answer:
188.5
Step-by-step explanation:
13 times 4.50 is 188.5 and theres 13,000
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?
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?
Plz help!!!!!!! Image
Answer:
the third one is correct
what is the negation of "x>3"?
a)=3
b.)_<3
c.)<3
Given:
The inequality is:
[tex]x>3[/tex]
To find:
The negation of the given inequality.
Solution:
The given inequality is [tex]x>3[/tex], it means all the value which are greater than 3 are included in the solution set.
Since all the values which are less than or equal 3 are not included in the solution set, therefore the negation of the given inequality is
[tex]x\leq 3[/tex]
Therefore, the negation of [tex]x>3[/tex] is [tex]x\leq 3[/tex].
Note: Option are not in proper format.
The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line?
Answer:
It's D: 2/5
Step-by-step explanation:
Parallel lines have the same slope.
free BRAINLESS it could be youea
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!
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
A hardware store received 2.5 tons of
lumber. What is the weight of the
lumber in pounds?
A 50,000 pounds
® 25,000 pounds
5,000 pounds
D 2,500 pounds
Answer:
5000 pounds
Step-by-step explanation:
Hello There!
There are 2000 pounds in 1 ton
So to convert tons to pounds we multiply by 2000
2.5x2000=5000
So 2.5 tons is the equivalent if 5000 pounds