Answer:
The probability of getting an offspring pea that is green is is 0.733
YES, the probability is reasonably close to the expected value of 3/4 (0.750)
Step-by-step explanation:
The formula for calculating the probability of an event is;
P = Favorable Outcome / Sample space
Let A be an event of getting an offspring green peas, B be an event of getting an offspring yellow peas and N be the total number of peas.
number of green peas in an offspring are 350
number of yellow peas in an offspring are 127
total number of peas are 477
So in the genetic experiment, the number of times event A occurs is 350 and the number times event B occurs is 127
Now the probability of getting an offspring pea that is green is
P = number of green peas / total number of peas
p = n(A)/N
p = 350/477
p = 0.733
So YES, the probability is reasonably close to 3/4 ( 0.750 )
The probability of getting an offspring pea that is green is is 0.733.
YES, the probability is reasonably close to the expected value of 3/4 (0.750)
choose a expression that represents three less than seven times a number
Answer:
7x-3
Step-by-step explanation:
First write the 7 times a number
7x
Then subtract 3
7x-3
Please hurry!! Which statement is true regarding the functions
A+ Series - Core Mathematics THEORY QUESTIONS Question 1 (SSSCE 2000 Ou 12a) Four angles of a hexagon are 130°, 160°, 112° and 80°. If the remaining angles are equal, find the size of each of them
To solve this question, we have to understand the sum of all angles of a polygon, identify the polygon and doing this, we get that the size of each of the angles are: 119º.
Sum of angles:
The sum of angles of a polygon of n sides is given by:
[tex]S_n = 180(n-2)[/tex]
Hexagon:
6 sides, thus [tex]n = 6[/tex], and:
[tex]S_n = 180(6-2) = 180*4 = 720[/tex]
Angles:
Four are 130°, 160°, 112° and 80°, the other two are equal, so both are x. Then:
[tex]130 + 160 + 112 + 80 + x + x = 720[/tex]
[tex]482 + 2x = 720[/tex]
[tex]2x = 238[/tex]
[tex]x = \frac{238}{2}[/tex]
[tex]x = 119[/tex]
Thus, the size of each of them is of 119º.
For more of the angles of a polygon, you can check https://brainly.com/question/19023938
Order the tiles to match the scenario of the graph of the
Answer:
i dont see a graph...
Step-by-step explanation:
???
. Simplify the expression: 4
2 + 8 ÷ 2.
Answer:
It's C 20
4^2 + 8 divided by 2 = 20
Step-by-step explanation:
If A and B are independent events with P( A) = 0.35 and P( B) = 0.55, then P( A| B) is:_________.
a. .19
b. 1.57
c. .64
d. .91
Answer:
P( A| B)= 0.35. None of the options are correctStep-by-step explanation:
Two events A and B are said to be independent if the occurrence of one of the events does not affect the other occurring. For example, the event of tossing two coins is an independent event since they occur simultaneously. Two events are therefore independent if the following are true.
P(A|B) = P(A)
P(B|A) = P(B)
P(A and B) = P(A)P(B)
If A and B are independent events with P( A) = 0.35 and P( B) = 0.55,
then P( A| B) is a probability of A occurring provided that B has occurred. This is known as conditional probability for an independent event.
From the condition above for independent events, P(A|B) = P(A) and since P(A) = 0.35, hence P(A|B) =0.35
The sum of a rational and irrational number is
Answer:
It will be irrational
Step-by-step explanation:
irrational+rational=irrational
Can someone explain this to me please
Answer: Choice B
Explanation:
Everywhere you see an x, replace it with a+2.
[tex]f(x) = 3(x+5)+\frac{4}{x}\\\\f(a+2) = 3(a+2+5)+\frac{4}{a+2}\\\\f(a+2) = 3(a+7)+\frac{4}{a+2}\\\\[/tex]
Evaluate the expression when x=6 and y=-3.
-x+7y
Answer:
-27
Step-by-step explanation:
Let x = 6 and y = -3
[tex]-(6)+7(-3)\\-6-21\\-27[/tex]
Scores on a University exam are normally distributed with a mean of 68 and a standard deviation of 9. Using the 68-95-99.7 rule, what percentage of students score above 77?
Answer:
0.1585, or 15.85%
Step-by-step explanation:
On a standard bell curve, the area from 77 to 100 falls within the 95.45 to 99.73 range.
99.73 - 68.27 = 31.46
31.46 / 2 =15.73
99.7 - 68 = 31.7
31.7 / 2 = 15.85
The volume of a cone varies jointly with the base (area) and the height. The volume is 12.5 ft3 when the base (area) is 15 ft2 and the height is 212 ft. Find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft2 and the height is 6 ft
The volume of the cone, when the base area is 12 ft² and the height is 6 ft, is approximately 24 ft³.
To find the volume of the cone when the base area is 12 ft² and the height is 6 ft, we need to first determine the variation constant relating the volume, base area, and height.
Let's denote the volume of the cone as V, the base area as A, and the height as h. According to the problem, the volume varies jointly with the base area and the height.
Therefore, we can write the following equation:
V = k * A * h
Here k is the variation constant we want to find.
Given one set of values: when A = 15 ft² and h = 2 1/2 ft, V = 12.5 ft³.
Substitute these values into the equation and solve for k:
12.5 ft³ = k * 15 ft² * (2.5 ft)
Now, we can solve for k:
k = 12.5 ft³ / (15 ft² * 2.5 ft)
k = 0.3333 ft
Now that we have the value of the variation constant (k), we can find the volume when A = 12 ft² and h = 6 ft:
V = k * A * h
V = 0.3333 ft * 12 ft² * 6 ft
V = 23.9996 ft³
Therefore, the volume of the cone is 24 ft³.
Learn more about the volume of the cone here:
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The correct question is as follows:
The volume of a cone varies jointly with the base (area) and the height. The volume is 12.5 ft³ when the base (area) is 15 ft² and the height is 2 1/2 ft. Find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft² and the height is 6 ft.
Simplify 13 x - 4[ x + (3 - x )].
A.9x-1
B.8x-12
C.13x-12
13x - 4[x + (3 - x)] =
= 13x - 4(x + 3 - x) =
= 13x - 4 · 3 = 13x - 12
C.
Answer:
13x -12
Step-by-step explanation:
13 x - 4[ x + (3 - x )].
Combine like terms inside the brackets
13 x - 4[ 3 -0x]
13x - 4[3]
Multiply
13x -12
Rank the following asserts of a commercial Bank in order of decreasing liquidity.
(a) market loans
(b) Reserves with the bank of Ghana
(c) cash
(d) personal loans
(e) sales and repurchase agreements (repos)
(f) mortgages
(g) Government bonds (of from one to five years to motuity)
Answer:
(b) Reserves with the bank of Ghana
A runner sprinted for 414 feet. How many yards is this?
Answer:
138 yards
Step-by-step explanation:
1 feet is (1/3) yard
414 feet is (1/3)*414=138 yards
If the area of the square is A(s) = s², find the formula for the area as a function of time, and then determine A(s(3)).
A(t) = 100t^2 + 500t + 625
3,025 square pixels
Answer:
A(t) equals 100t²+ 500t + 625.
The area of the square image after 3 seconds is 3,025 square pixels.
Which statements are true of functions? Check all that apply.
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Fine the surface area
Answer:
88 if a rectangular prism, 64 based on the net.
Step-by-step explanation:
A = 4 * 2
B = 6 * 2
C = 4 * 2
D = 6 * 2
E = 6 * 4
A/C= 8
B/D= 12
E = 24
2(8) + 2(12) + 24 = 64
Surface Area: 64
However, a rectangular prism must have 6 faces, so unless this is a box, the answer would be 88, and E = F, the last face.
Kim just turned 10 years old her mother is four times older than Kim how old is Kims mother
Answer:
40 years old
Step-by-step explanation:
Given y(x) = f(x)g(x). Find the slope of the tangent line to y(x) at x = 7.
Answer:
Step-by-step explanation:
Interesting problem.
At 6<x<8,
f(x) = x-7
at 5<x<8
g(x) = (15-x)/2
=>
y(x)
= f(x)*g(x)
= (x-7)(15-x)/2
= (x^2+22x-105)/2
differentiate y(x) with respect to x,
y'(x) = -x+11
at x = 7,
y'(7) = -(7) + 11 = 4
Wyatt is making a salad using tomatoes, cucumbers, and carrots. This table gives the cost, per kilogram, of each ingredient, and the amount, in kilograms, that Wyatt uses:
Ingredient Price per kilogram Amount
Tomatoes 3.30dollars per kilogram 0.3
Cucumbers x dollars per kilogram y kilograms
Carrots z dollars per kilogram 0.20
The total amount Wyatt spends on ingredients is C dollars.
Write an equation that relates x, y, z, and C.
According to the given information, we build the equation for the cost. After we build the equation, the equation that relates these measures is:
[tex]C = 0.99 + xy + 0.2z[/tex]
Cost:
0.3 kilograms of tomatoes, at 3.30 dollars per kilogram.
Thus, the cost starts at:
[tex]C = 0.3*3.3 = 0.99[/tex]
y kilograms of cucumbers, at x dollars per kilogram.
Considering this, the cost will now be of:
[tex]C = 0.99 + xy[/tex]
0.2 kilograms of carrots, at z dollars per kilogram:
Now, we have to consider this for the cost, so:
[tex]C = 0.99 + xy + 0.2z[/tex]
A similar example is given at https://brainly.com/question/14544759
A survey showed that among 785 randomly selected subjects who completed four years of college, 144 of them are smokers and 84 do not smoke (based on data from the American Medical Association). Suppose you want to test at the 0.01 significance level the claim that the rate of smoking among those with four years of college is less than the 27% rate for the general population.
A. State the null and alternative hypotheses.
B. Find the sample statistic and the p-value.
C. What is your conclusion?
Answer:
We conclude that the rate of smoking among those with four years of college is less than the 27% rate for the general population.
Step-by-step explanation:
We are given that a survey showed that among 785 randomly selected subjects who completed four years of college, 144 of them are smokers.
Let p = population proportion of smokers among those with four years of college
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 27% {means that the rate of smoking among those with four years of college is more than or equal to the 27% rate for the general population}
Alternate Hypothesis, [tex]H_A[/tex] : p < 27% {means that the rate of smoking among those with four years of college is less than the 27% rate for the general population}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of smokers = [tex]\frac{144}{785}[/tex] = 0.18
n = sample of subjects = 785
So, the test statistics = [tex]\frac{0.18-0.27}{\sqrt{\frac{0.27(1-0.27)}{785} } }[/tex]
= -5.68
The value of z-test statistics is -5.68.
Also, the P-value of the test statistics is given by;P-value = P(Z < -5.68) = Less than 0.0001
Now, at a 0.01 level of significance, the z table gives a critical value of -2.3262 for the left-tailed test.
Since the value of our test statistics is less than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the rate of smoking among those with four years of college is less than the 27% rate for the general population.
Simplify. 4 × (8 + 5) + 9 45 46 61 62
Answer:
61
Step-by-step explanation:
4 × (8 + 5) + 9
Parentheses first
4 × (13) + 9
Then multiply
52 +9
Then add
61
What is the domain of the function shown on the graph?
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
The arrows on the ends of the curve indicate that the graph extends to infinity horizontally. The domain is the horizontal extent, so is all real numbers.
__
Additional comment
Apparently, y=-7 is a horizontal asymptote, so the range is y > -7.
Process control and acceptance sampling procedures are most closely related to _____. a. analysis of variance procedures b. hypothesis testing procedures c. interval estimation procedures d. linear regression procedures
sketch the graph of y=x(x-6)^
Answer:
i have attached pic of the graph
i hope this helps you
This year Alex’s age is 1/6 of his dads. Four years later, Alex’s age is 1/4 of his dads. How old is Alex and his dad this year?
Answer:
This year:
dads: 36 years
Alex: 6 years
Step-by-step explanation:
a = d/6
a+4 = (d+4)/4
a = Alex´s actual age
d = actual age of the dad
d/6 + 4 = (d+4)/4
4{(d/6) + 4} = d+4
4*d/6 + 4*4 = d+4
4d/6 + 16 = d + 4
4d/6 = d + 4 - 16
4d = (d-12)*6
4d = 6*d +6*-12
4d = 6d - 72
4d - 6d = -72
-2d = -72
d = -72/-2
d = 36
a = d/6
a = 36/6
a = 6
probe:
a+4 = (d+4)/4
6 + 4 = (36+4)/4
10 = 40/4
Is -5/6 Real, Rational, Irrational, Integer, Whole, or real number?
Answer:
Rational
Step-by-step explanation:
Rational number consists of
Whole NumbersNatural NumbersIntegersNegative NumbersFractionsDecimals-5/6 is a Fraction and we can also simply it to a Decimal.
Hope this helps ;) ❤❤❤
How to make my answer for 0.70 a fraction
Answer:
0.70 = 7/10
Step-by-step explanation:
Answer:
70/100 or 7/10 (Simplified)
Step-by-step explanation:
0.70 is basically .70 of 1. You can wrote this as a fraction, 70/100. If you divide 70 by 100, it gives you .70.
If you want to simplify it, it becomes 7/10, and if you divide 7 by 10, it also gives you 0.70.
Depends if you want your fraction simplified or not.
have a great day.
Certain clouds form when temperatures fall below – 72°C. What is this temperature in degrees Fahrenheit
Answer:
-97.6°F
Step-by-step explanation:
The formula to convert the temperature is 9/5d + 32. Substitite -72 for d and solve!
9/5(-72) + 32
-129.6 + 32
-97.6
Best of Luck!
Answer:
-97.6
Step-by-step explanation:
A stegosaurus eats ten twelfths of a plant and then eats two twelfths of the plant later. Estimate how much of the plant the dinosaur ate in all. Explain your thinking.
Answer:
12 Twelfths (12/10)
Step-by-step explanation:
If the dinosaur ate 10 twelfths, then ate 2 twelfths, you need too add that up.
10/12 + 2/12 = 12/10.
The dinosaur ate 12/10 of a plant. (6/5 if needed to simplify)
Hope this helps!
Answer:
0/12
Step-by-step explanation:
The answer is 0/12. We know this because if there are twelve twelfths [12/12] of a plant and the stegosaurus eats ten twelfths [10/12] of a plant then it is 12 - 10 or the fraction form [12/12 - 10/12] then we subtract and we get the answer [2/12]. And then later it says the stegosaurus ate two twelfths [2/12] of a plant then we subtract 2 - 12 or [2/12 - 2/12] that would then equal 0/12.