A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 620 babies were born, and 341 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
Answer:
Based on the confidence interval, the method appears to not bring expected results
Step-by-step explanation:
The given parameters are;
The number of babies in the study, n = 620 babies
The number of girls in the study sample = 341 girls
The proportion of girls in the study sample, [tex]\hat p[/tex] = 341/620 = 0.55
At 99% confidence level, we have the critical z = 2.576;
The confidence interval is given by the following formula;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]
Plugging in the values of the variables, we get;
[tex]CI=0.55\pm 2.576\times \sqrt{\dfrac{0.55 \times (1-0.55)}{620}} \approx 0.55 \ \pm 5.14680 \times 10^{-2}[/tex]
Therefore, 0.498532 < p < 0.601468
Based on the result of the confidence interval, we can be 99% sure that the true mean is between 0.498532 and 0.601468, therefore, given that the range includes a true mean of 0.5 or 50% probability of conceiving a girl, which is the percentage predicted by genetics, the method appears ineffective
Find the volume of a right circular cone that has a height of 4.4 in and a base with a diameter of 3.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
12.5 in squared 3
Step-by-step explanation:
Answer:
12.5!
Step-by-step explanation:
A map is shown.
How far is Sandra's house from Johnny's house?
Answer:
1681 miles
By Pythagoras theoram
ducks and pigs are in a barn. There a total of 20 animals with 56 legs all together. How many of each animal are in the barn?
Answer:
Ducks- 8
Pigs- 12
Step-by-step explanation:
56 divided by 8 is 12 and 12 plus 8 is 20.
8) Anthony wants to earn at least $41,000 this year. So far, he has earned $34,000. How much
more does Anthony need to earn to meet his goal?
Inequality:
Solution:
Ansswer:
7,000
Step-by-step explanation:
41,000 - 34,000 = 7,000
Just number 14 pleaseee
9514 1404 393
Answer:
Step 2 is where the error lies.
The solution is x > 6
Step-by-step explanation:
The rules for solving inequalities are substantially similar to the rules for solving equations. If you perform the same operation on both sides of the comparison, the value of the variable does not change. (The exception is when that operation is an "order-reversing" operation. See comment below.)
Kahal's steps would be expected to be the same ones you would use:
Step 1: 4x -4 > 20 . . . given
Step 2: 4x > 24 . . . add 4 to both sides
Step 3: x > 6 . . . . . divide by 4
We note that our Step 2 is different from Kahal's Step 2. In Step 2 is where his mistake was made. He added 4 to one side and subtracted 4 from the other side.
__
Exception (order-reversing operations)
The operation you will usually run across in high-school algebra that will reverse ordering is multiplication (or division) by a negative number. Consider, for example, ...
1 < 2
-1 > -2 . . . . . both sides of the inequality multiplied (or divided) by -1
Notice that the order has been reversed: the larger magnitude number is now "less than".
What is another way to write x2.x4?
Answer:
If x2.x4 and x2= 2x, x4=4x, while . means multiplication. therefore it can be written as 2x × 4x
if the simple interest on 2000 for 4 years is 4000 then what is the interest rate
Answer:
Principal = Rs 2000
Time = 4 years
Interest = Rs 400
Now, Interest= Principal×Rate×Time/100
400= 2000×R×4/100
R= 400×100/2000×4
Step-by-step explanation:
Hope it is helpful....
Mister mayor has asked that you pass a geometry quiz before you begin building. He wants you to make sure you are qualified before you begin building his city.
Answer:
what do you need help with tho lol
Step-by-step explanation:
14.875/1.5 step by step
Answer:
9.916...
Step-by-step explanation: (The "6" is repeating)
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
This gives us a mixed number-fraction: 9 and 11/12.
If we then turn this into a simplified fraction, then it becomes 119/12. Turn that into a decimal by dividing the numerator by the denominator.
This gives us our answer of 9.916...!!! Hope that helps!
Given f(x) = 4x - 1 and g(x) = x2, choose
the expression for (fºg)(x).
Click on the correct answer.
Step-by-step explanation:
step 1. f°g(x) = f(x^2)
step 2. f(x^2) = 4(x^2) - 1
step 3. answer: 4x^2 - 1
Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.
3/4,1/8
Answer:
From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps
Answer:
20 months
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].
(a)
As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],
[tex]w=kt[/tex]
Here, [tex]k[/tex] is a constant.
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.
Put [tex]w=1\,,\,t=2[/tex]
[tex]1=2k\\k=\frac{1}{2}[/tex]
So,
[tex]w=\frac{t}{2}[/tex]
(b)
To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]
[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]
[tex]t=20[/tex] months
Factor completely:
x³ - 9x
Answer:
x(x+3)(x-3)
Step-by-step explanation:
Factor out common term x
=x(x^2-9)
Factor x^2-9;
(x+3)(x-3)
=x(x+3)(x-3)
Answer:
x(x + 3)(x - 3)
Step-by-step explanation:
What we're given is a difference of squares multiplied by x. If we start by factoring x out, we can simply expand the binomial:
x³ - 9x
= x(x² - 9)
= x(x + 3)(x - 3)
Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b). In this case, a is x, and b is 3.
help with this too!!
Answer:
a
Step-by-step explanation:
Which applies the power of a product rule to simplify (50) ?
(50) 3 - 56
(51) 3 = 3(57) - 154
(50 ° - 5373 = 1251
(50) 3 - 5 t = 1251
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
Janine plans to deposit $20,000 at the end of each year for eight years into an investment account. The mutual funds containing stocks what continue to yield 6% per year. Find the future value.
Answer:
$197,949.40
Step-by-step explanation:
Just took the quiz.
Mrs.Patrick bought a package of 15 expo markers. 20% of them were blue the other's were black. How many expo markers were blue?
Answer:
3 blue expo markers
Step-by-step explanation:
15(0.2)=3
*
What is the slope and y-intercept of y=-3x+7?
Answer:
The slope is -3 and the y-intercept is (0, 7)
Step-by-step explanation:
In the slope-intercept form (y=mx+b), m is the slope and b is the y-intercept. -3 is substituted for m and 7 is substituted for b in your equation.
Hi please help thank you so much
Answer:
23.09 ft
Step-by-step explanation:
tan = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ tan 13 = [tex]\frac{x}{100}[/tex]
tan of 13 is 0.23086
⇒ 0.23086 = [tex]\frac{x}{100}[/tex]
multiply each side by 100
⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100
solve:
⇒ 23.0868
round to the nearest hundreth:
⇒ 23.09
Having good study habits will help you learn more.
TrueFalse
Answer:
Ture
Step-by-step explanation:
I have experience and i answered this question before
Answer:
True.
Step-by-step explanation:
Studying helps implant the knowledge into your brain, allowing you to remember it, and succeed in that subject of knowledge, thus having good study habits will help you learn more!
The perimeter of a regular hexagon is 78 cm .What will be the length of each side?
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
13cm
Step-by-step explanation:
regular means the sides are equala hexagon has 6sides78/6=13What is 69.37 minus 1.93
Answer:
the answer is 67.44 hope it helps smile
Find the Total surface area
A prism 11 in tall with a right triangle for a base with side lengths 6 in, 8 in, and 10 in.
A) 344 in2
B) 383 in2
C) 312 in2
D) 288 in2
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
Pls help I need this answer asap I got 10 min left :(
Answer:
Initial Value: 4
ROC: - 4/5
Step-by-step explanation:
I know you're short on time, if you want an explanation, let me know!
Answer:
Step-by-step explanation:
Given a roll of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.
PLS RESPOND ASAP I NEED THE ANSWER PLSSSS
Answer:
124.8 Inches
Step-By-Step
1/2 0.835 Inches = 0.4175
r = 0.4175
h = 0.077
A=2πrh+2πr^2
A=2π(0.4175)(0.077)+2π(0.4175^2)
A = 3.12
Nickel = 5 Cents
$2 = 200 Cents
200 / 5 = 40
(3.12)(40) = 124.8 In
Answer:
The answer is 0.8 in^2
Step-by-step explanation:
Data
diameter = 0.835 in
thickness = 0.077in
Roll of $ 2.00
Procedure
1.- Find the total number of nickels
# of nickels = 2/ 0.05
# of nickels = 40
2.- Calculate the Circumference
C = 2*pi*r
r = 0.077/2
r = 0.0385
C = 2*3.14*0.0385
C = 0.242 in
3.- Calculate the area of the thickness
Area = 0.242* 0.077*40
Area = 0.745 in^2
4.- Calculate the area of the base and the top
Area = 2*pi*r^2
Area = 2*3.14*(0.0382)^2
Area = 0.0093 in^2
5.- Calculate the total area of the roll
Total area = Area of the thickness + Area of the base and top
Total area = 0.745 + 0.0093
Total area = 0.7543 in^2 This is the result
Rounding to the nearest tenth = 0.8 in^2
A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?
Answer:
360 feet.
Step-by-step explanation:
If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...
1 yard = 3 feet
120 yards = x feet
120 * 3 = x
360 feet = x
Finally, we can see that the length of the football field is 360 feet.
Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given value:
[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]
Using formula:
[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]
[tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]
Calculating the percent of the sales which is less than or equal to 84 inches:
[tex]\to P(Z \leq 1.6)=0.9452[/tex]
[tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]
Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.
wanna help a fellow hawt person out?
Answer:
50
Step-by-step explanation:
You gotta add up 38 and 12 because it reflects and it's the same across ABC