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In a test of a sex-selection technique, results consisted of 284 female babies and 15 male babies. Based on this result, what is the probability of a female being born to
a couple using this technique? Does it appear that the technique is effective in increasing the likelihood that a baby will be a female?
The probability that a female will be born using this technique is approximately
(Type an integer or decimal rounded to three decimal places as needed.)
Does the technique appear effective in improving the likelihood of having a female baby?
O No
O Yes
Answers
The probability of the girl being born to a couple is 0.949. Yes, it is effective in increasing the likelihood that the baby will be a girl as the number of girls is more than the number of boys.
What is probability?
Probability means possibility. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
In a test of sex-selection technique, results consisted of 284 female babies and 15 baby boys.
Total children = 284 + 15 = 299
The probability of the girl being born to a couple will be
[tex]P = \frac{284}{299}[/tex]
P = 0.9498
Thus, the probability of the girl being born to a couple is 0.9498.
Yes, it is effective in increasing the likelihood that the baby will be a girl as the number of girls is more than the number of boys.
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Related Questions
if Dixon is 6 ft tall,, how tall is ariadne?
Answers
Notice that the triangles formed by the shadows are similar, therefore:
[tex]\frac{x}{6}=\frac{15}{18},[/tex]where x is Adriadne's height. ( We will omit the units to simplify the calculations).
Solving the above equation for x, we get:
[tex]x=\frac{15}{18}*6.[/tex]Simplifying the above result, we get:
[tex]x=5ft.[/tex]Answer:[tex]5ft.[/tex]
Nadine tried to solve the equation 12x - 19 equals -4 (3 x - 9) - 15 but made a mistake which line shows evidence of Nadines mistake
Answers
Answer:
Line 4
Explanation:
The initial expression is:
12x - 19 = -4(3x - 9) - 15
The mistake was made on line 4, the correct steps to solve the expression are:
[tex]\begin{gathered} 12x-19=-4(3x-9)-15 \\ 12x-19=-12x+36-15 \\ 12x-19=-12x+21 \\ 24x-19=21 \\ 24x-19\textcolor{#FF7968}{+19}=21\textcolor{#FF7968}{+19} \\ \textcolor{#FF7968}{24x=40} \\ x=\frac{40}{24}=\frac{5}{3} \end{gathered}[/tex]Because on line 4 they subtract 19 from the right side and the correct step is to add 19 to the right side.
This is due tomorrow! Smart people help me, please!!
Answers
Find the measure of the indicated amgle to the nearest degree.
Answers
The correct option is
C. 69 degrees
Explanation:Let the indicated angle be represented by x, then
[tex]\begin{gathered} \cos x=\frac{Adjacent}{Hypotenuse}=\frac{13}{36} \\ \\ \\ x=\cos^{-1}(\frac{13}{36})\approx69^o \end{gathered}[/tex]3. Carlos Quintero, Treasurer of X Corp is analyzing an investment on two projects, C and D. The data to
consider are shown below
Initial Investment
Annual Rate of
Return
Pessimistic
Most Likely
Optimistic
Amount
$135,000
39%
27%
25%
Project C
Probability
.30
.45
.25
Amount
$145,000
25%
15%
30%
Project D
Probability
.35
.40
.25
A. Determine the rates of return for each of the two projects. (6 points)
Answers
The rates of return for each of the two projects for X Corp are as follows:
Project C = 30.1%Project D = 19.75%.What is the rate of return?The rate of return refers to the percentage gain or loss over the initial cost of the investment.
For this purpose, the rate of return is expressed as the percentage of the expected returns (which is a product based on the probability of different scenarios) over the initial investment cost.
Project C Project D
Amount Probability Amount Probability
Initial Investment $135,000 $145,000
Annual Rate of Return
Pessimistic 39% .30 25% .35
Most Likely 27% .45 15% .40
Optimistic 25% .25 30% .25
Returns from Project C:Pessimistic $15,795 ($135,000 x 39% x 30%)
Most likely $16,402.50 ($135,000 x 27% x 45%)
Optimistic $8,437.50 ($135,000 x 25% x 25%)
Total expected returns = $40,635
Rate of return = 30.1% ($40,635/$135,000 x 100)
Returns from Project D:Pessimistic $9,062.50 ($145,000 x 25% x 35%)
Most Likely $8,700 ($145,000 x 15% x 40%)
Optimistic $10,875 ($145,000 x 30% x 25%)
Total expected returns = $28,637.50
Rate of return = 19.75% ($28,637.50/$145,000 x 100)
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Use the parabola tool to graph the quadratic function f(1) = 2x^2+16x+30Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
vertex(-4,-2)
focus(-4,-15/8)
Axis of symmetry,x=-4
directrix, y=-17/8
x y
-6 6
-5 0
-4 -2
-3 0
-2 6
A circle and two distinct lines are drawn on a sheet of paper what is the largest possible number of points of intersection of these figures (it is Q29)
Answers
Answer:
C 5
Step-by-step explanation:
The two lines can both intersect the circle twice, and can intersect each other once, so 2 + 2 + 1 = 5
2. (5 × 2 + 20/2) + (10 x 2/2 + 5) =
a. 35
b. 42
c. 103
Answers
Answer:
a.35
Step-by-step explanation:
10 + 20/2 equals 20
20/2+5 equals 15
20+15 equals 35
43% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor theuse of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight(a) P(3) =(Round to three decimal places as needed.)
Answers
EXPLANATION:
According to the established pattern that only 43 out of 100 adults favor the use of drones, now we must find out from the only twelve adults surveyed how much corresponds to 43 percent.
The first thing we must do is make the relation 12 equals 100, then 43 percent how much?
[tex]\begin{gathered} 12\rightarrow100 \\ x\leftarrow43 \\ x=\frac{12\times43}{100} \\ \textcolor{#FF7968}{x=5.16}\text{\textcolor{#FF7968}{ ; }} \\ \text{the answer is }\text{\textcolor{#FF7968}{5.16 }}\textcolor{#FF7968}{that}\text{\textcolor{#FF7968}{ is less than eight }}\text{; } \end{gathered}[/tex]A circle Is cut from a square piece of cloth as shown How many square inches of cloth are cut from the square 1,061.32in22,122.64in22,704.00in23,622.31in2
Answers
Answer: 2,122.64in².
Explanation
We want to know the measure of the circle in square inches, meaning that we have to calculate the area.
The area of a circle (A) is given by:
[tex]A=\pi r^2[/tex]where r represents the radius of the circle.
The diameter of the circle is a straight line that goes from one point of the circumference of a circle to an opposite point, passing through the center of the circle. The radius is half the diameter.
Based on the image, we can see that the circle is cut touching one point of each side of the square, meaning the diameter is what the side of the square measures:
Then, if the diameter is 52", then the radius is half that, 26".
Now, we can calculate the area:
[tex]A=\pi\cdot26^2[/tex][tex]A=3.14\cdot676[/tex][tex]A=2122.64in^2[/tex]Solve using substitution.x = -7-8х - бу = 14
Answers
The given system of equation :
x = - 7
-8x - 6y = 14
Substitute the value of x = (-7) in the given system :
-8x - 6y = 14
-8(-7) - 6y = 14
Simplify the equation :
56 - 6y = 14
56 - 14 = 6y
6y = 42
y = 42/6
y = 7
y = 7 & x = (-7)
Answ
Answer:
Step-by-step explanation:
what is the curved surface area of a cone on top of a half circle if the cone has a volume and the circle has a 10 area?
Answers
Given a cone with base radius, r, and perpendicular height, h,
the volume, V, is given by
[tex]V=\frac{1}{3}\times\pi\times r^2\times h[/tex]In this case,
r = 10ft,
h = 17ft,
Therefore,
[tex]V=\frac{1}{3}\times\pi\times10^2\times17=\frac{1700}{3}\pi[/tex]Hence, V = 1780.24 cubic feet
The volume of the cone is 1780.24 cubic feet
Solve for the triangle where there is a question mark!
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Label the right-angled triangle
STEP 2: Write the trigonometry ratios
[tex]\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \end{gathered}[/tex]STEP 3: Write the given values to decide which ratio to use
Let the part with the question be represented by m
[tex]\begin{gathered} \text{adjacent}=7,\text{hypotenuse}=12,m=\text{?} \\ U\sin g\text{ the cos ratio from step 2;} \\ \cos m=\frac{7}{12} \\ m=\cos ^{-1}(\frac{7}{12})=\cos ^{-1}0.5833333333 \\ m=54.31466529 \\ m\approx54.31 \end{gathered}[/tex]Therefore, the value of mising angle labelled m is approximately 54.31 degrees
UsetheprimefactorsmethodtofindtheGCFof76,190,and931.
Answers
There are several ways to calculate the GCF
Let's use the Prime Factorization.
1) List the numbers in a row. As we can see, 76, 190 are both divisible by 2
So le's start dividing by the prime number 2, up to next divisible prime number as it follows:
As we can see the Greatest Common Divisor to both 76,190 and 931 is the prime number 19
Therefore, we can state the GCD of 76,190, 931 as 19
help me please im not understanding on the right side it says: to the total number of people present. Express as a simplified ratio
Answers
ANSWER
4 : 9
EXPLANATION
The total number of people present is the number of females plus the number of males:
[tex]125+100=225[/tex]The ratio of number of males to total number of people is:
[tex]\frac{100}{225}[/tex]We have to simplify this fraction. Both 100 and 225 are divisible by 5:
[tex]\begin{gathered} 100\colon5=20 \\ 225\colon5=45 \end{gathered}[/tex]Therefore:
[tex]\frac{100}{225}=\frac{20}{45}[/tex]And then again, 20 and 45 are divisible by 5:
[tex]\begin{gathered} 20\colon5=4 \\ 45\colon5=9 \end{gathered}[/tex]Therefore:
[tex]\frac{100}{225}=\frac{20}{45}=\frac{4}{9}[/tex]We can't simplify more than that, so the ratio is 4 : 9
URGENT TWO WAY TABLES
Answers
Answer: A) 6 B) 19.5
Step-by-step explanation:
A) 2,4,6,8,10
B) 8+16+30+24=78
78/4=19.5
Let me known if question b was right
Use a truth table to determine whether the two statements are equivalent.
Answers
The answer is option(b) i.e,the given statements are not equivalent.
What is Truth table?
A truth table is a breakdown of a logic function by listing all possible values the function can attain. Such a table typically contains several rows and columns, with the top row representing the logical variables and combinations, in increasing complexity leading up to the final function.
Let's proof it by using truth table :
p q (~q → ~p) (~p → ~q)
F F T T
F T T F
T F F T
T T T T
As you've seen in truth table (~q → ~p) ≠ (~p → ~q)
Therefore, the answer is option(b) i.e,the given statements are not equivalent.
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At Bright Futures Middle School, 576 students ride their bike to school . If this number is 75% of the school enrollment, then how many students are enrolled
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
students on bike = 576
% students on bike = 75%
total students = ?
Step 02:
total students
[tex]\text{ \% students on bike = }\frac{students\text{ on bike }}{\text{total students }}\cdot100[/tex][tex]\begin{gathered} 75\text{ = }\frac{576}{\text{total students }}\cdot100 \\ \text{total students = }\frac{576}{75}\cdot100 \end{gathered}[/tex]total students = 768
The answer is:
The number of total students is 768.
A container of orange juice cost $3.29 for 59 ounces. What is the unit rate to the nearest penny?
Answers
Answer:
6 cents
what are the reasons ? and is there anymore statements
Answers
The first reason is GIVEN
If angles ∠XWY and ∠RTU are supplemetary, it means they add up 180°. It demands that lines It demands that lines It demands that
y - 32 = -2(x-48)what is y
Answers
y - 32 = -2( x - 48)
y - 32 = -2x + 96
y = -2x + 96 + 32
y = -2x + 128
A parent is buying two types of chocolate truffles for the children. The oldest child likes white chocolate (W), the younger two like dark chocolate (D) and the spouse likes white chocolate (W). Four white chocolate truffles (W) cost the same as three dark chocolate truffles (D). If the parent bought 8 white chocolate truffles(W) and 10 dark chocolate truffles (D), and spent $50.00, how much was each dark chocolate truffle?2.422.343.13
Answers
SOLUTION
Given the information on the question tab;
[tex]Let\text{ the price for a white chocolate truffle be W, and the price for a dark chocolate truffle be D;}[/tex][tex]\begin{gathered} From\text{ the statements made in the question;} \\ 4W=3D-----(1) \\ 8W+10D=50----(2) \end{gathered}[/tex][tex]\begin{gathered} From\text{ equation \lparen1\rparen;} \\ W=\frac{3D}{4}-----(3) \\ substituting\text{ W=}\frac{3D}{4}\text{ into equation \lparen2\rparen} \end{gathered}[/tex][tex]\begin{gathered} 8\times\frac{3D}{4}+10D=50 \\ 6D+10D=50 \\ 16D=50 \\ D=\frac{50}{16} \\ D=3.125\approx3.13 \end{gathered}[/tex]Final answer:
Each dark chocolate truffle costs $3.13
bridget is growing seven plants for her science project. here are the heights of the plants after four weeks. what is the mode?
Answers
Given the data:
Plant Height(Cm)
1 9
2 10
3 10
4 6
5 9
6 7
7 10
The mode of a data set is the value that occurs most frequently.
From the data above, the height that occurs most frequently is 10 cm.
Therefore, the mode is 10.
ANSWER:
Lars created a painting with an area of 42 square inches and a length of 6 inches. They create a second painting with an area of 28 square inches. It has the same width as the first painting. What is the length of the second painting?
Answers
The length of the second painting is 4 in.
What is Area of Rectangle?
Area of rectangle is length times of breadth.
Given that :
Lars created a painting with an area of 42 square inches and a length of 6 inches. now, calculating B of painting using formula :
Area of Rectangle=Length × Width
42 = 6 x b
b = 42/6
b = 8 in.
it is given that :
area of second painting = 28 square inches
and having same width as the first painting that is b = 8 in.
Now, calculating length second of painting using formula :
Area of Rectangle=Length × Width
28 = l x 8
l = 28/8
l = 4 in.
Therefore, the length of the second painting is 4 in.
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In a data set, the median is less than the mean. What does that indicate about the data?A.It is skewed to the right.B.It is skewed to the left.C.It is symmetric.D.It is bell-shaped.
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
In a data set, the median is less than the mean. What does that indicate about the data?
A. It is skewed to the right.
B. It is skewed to the left.
C. It is symmetric.
D. It is bell-shaped.
Step 2:
The diagram that explains the question above is:
A left-skewed distribution has a long left tail. Left-skewed distributions are also called negatively-skewed distributions. That’s because there is a long tail in the negative direction on the number line. The mean is also to the left of the peak.
A right-skewed distribution has a long right tail. Right-skewed distributions are also called positive-skew distributions. That’s because there is a long tail in the positive direction on the number line. The mean is also to the right of the peak.
Back to the question, in a data set, the median is less than the mean
It indicates that:
It is skewed to the right ( OPTION A )
A colony of 4,050 bacteria doubles in size every 297 hours. What will the population be 594 hours from now?
Answers
Answer:
About 280,000
Step-by-step explanation:
Answer:
16,200
Step-by-step explanation:
594 ÷ 297 = 2
4,050 × 2 × 2 = 16,200
another way: 4,050 × 2^2 = 16,200
Trey's chocolate bar is 52% cocoa. If the weight of the chocolate bar is 66 grams, how many grams of cocoa does it contain? Round your answer to the nearest
tenth.
Answers
Trey's chocolate bar is 52% cocoa and if the weight of the chocolate bar is 66 grams, it contains 34.32 grams of cocoa using the concept of percentage.
What is percent?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.What is a fraction?
Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many parts of a particular size there are when spoken in everyday English.Here, 52% of 66 grams:
=(52/100)*66=0.52*66=34.32 grams of cocoa52% cocoa makes up Trey's chocolate bar.
Using the concept of percentage, a 66-gram chocolate bar would contain 34.32 grams of cocoa.
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Completely the instructions to move from one point to another along the line y = 2/3x+1. Down 4 units then. Units.
Answers
The parent function given is,
[tex]y=\frac{2}{3}x+1[/tex]We were told the parent function was translated 4 units down, which means
[tex]\begin{gathered} y=\frac{2}{3}x+(1-4) \\ y=\frac{2}{3}x-3 \end{gathered}[/tex]Hence, the transformed function would be,
[tex]y=\frac{2}{3}x-3[/tex]Let us now plot the graph of the parent function and the transformed function in order to compare the two graphs.
From the graph above, the parent function is represented in the green line while the transformed function is represented in the black line.
Therefore, the answer is
Down 4 units, then left 6 units.
b. 9m2 + 6m + 6 = 5 has real roots and imaginary roots
Answers
the given equation is
[tex]\begin{gathered} 9m^2+6m+6=5 \\ 9m^2+6m+1=0 \end{gathered}[/tex]we will calculate
[tex]D=b^2-4ac[/tex]so
[tex]\begin{gathered} =6^2-4\times9\times1 \\ =36-36 \\ =0 \end{gathered}[/tex]as D is 0 so it has one real root
What is the volume of the cone rounded to the nearest tenth? The diagram is not drawn to scale. The height of the cone is 19 yd.A) 2646.3 yd^3B) 1462.4 yd^3C) 1039.0 yd^3D) 975.0 yd^3
Answers
Answer:
To find the volume of the cone rounded to the nearest tenth
we have that,
Volume of the cone (V) is,
[tex]\frac{1}{3}\pi r^2h[/tex]where r is the radius and h is the height of the cone.
Given that,
r=7 yd
h=19 yd
Substitute the values we get,
[tex]V=\frac{1}{3}\pi(7)^2\times19[/tex]we get,
[tex]V=\frac{931}{3}\pi[/tex]we know that pi is approximately equal to 3.14, Substitute the value we get,
[tex]V=\frac{931}{3}(3.14)[/tex]we get,
[tex]V=974.446\approx975\text{ yd}^3[/tex]Answer is: Option D:
[tex]\begin{equation*} 975\text{ yd}^3 \end{equation*}[/tex]