Answer:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
18 percent are longer than 6.5 feet.
This means that [tex]p = 0.18[/tex]
A random sample of 90 sea turtles
This means that [tex]n = 90[/tex]
What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164
Using the knowledge about central limit theorem, we will have what the proportion will be;
For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:
[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]
See more about proportion at brainly.com/question/2548537
Helppppp pleaseeee thanks ✏️
Answer:
H
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
That means
180= 25 + 45+ unknown angle
180= 70 + unknown angle
180 - 70 = unknown angle
110 = unknown angle
I need answer ASAP plz hurry
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
Please help and solve; big points
3/2 ∜(2(x-6)^3 )+4=16
Answer:
x ≈ 18.7
Step-by-step explanation:
This is a big equation, so let's break it down a bit.
[tex]\frac{3}{2} \sqrt[4]{(2(x-6) ^3 )} +4=16[/tex]
Let's start by isolating the radical which is x.
So subtract 4 from both sides :
[tex]\frac{3}{2} \sqrt[4]{(2(x-6) ^3)}[/tex][tex]=12[/tex]
Now multiply both sides by 2 to get rid of the fraction :
[tex]3\sqrt[4]{(2(x-6)^3)} = 24[/tex]
Now divide both sides by 3 to get rid of the number out of the poly root :
[tex]\sqrt[4]{2(x-6) ^3}[/tex][tex]=8[/tex]
Now take both sides of the equation to the power of 4 :
[tex]2x^3 - 36x^2+216x-432=4096[/tex]
And lastly, solve :
[tex]x = 18.69920[/tex] which is rounded up to [tex]x[/tex] ≈ [tex]18.7[/tex]
AABC is reflected across the y-axis and translated 3 units up to create AXYZ. Select all statements that are true about AABC and AXY
5x+20=10 solve for x
Answer:
x= -2
Step-by-step explanation:
:D
Answer: x = -5
Step-by-step explanation:
Round both to the nearest whole number just write:
5: answer here
6: answer here
Answer:
Follows are the solution to this question:
Step-by-step explanation:
formula for perimeter of semicircle:
[tex]C= \pi \times d[/tex]
Area of Semicircle:
[tex]A= \frac{\pi r^2}{2}[/tex]
For question 5:
[tex]\to d=17 \ m[/tex]
[tex]\to C= \pi \times d= 3.14 \times 17= 53.38 =53 \\\\[/tex]
[tex]\to A= \frac{\pi \times r^2}{2}= \frac{3.14 \times 8.5^2}{2}=\frac{226.865}{2}=113.4325= 113[/tex]
For question 6:
[tex]\to d=10.5 \ in[/tex]
[tex]\to C= \pi \times d= 3.14 \times 10.5= 32.97 =33[/tex]
[tex]\to A= \frac{\pi \times r^2}{2}= \frac{3.14 \times 5.25^2}{2}=\frac{86.54625}{2}=43.273125= 43[/tex]
if the first step of the solution of the equation 2x - 8 =5x + 3 is subtract 2x," then what should the next step be?
Answer:
2x-8=5x+3
Step-by-step explanation:
The first step: Subtract 2x, -8=3x+3
Second: Subtract (-3), -11=3x
7(3y – 1) = 119
Please help!!!!
Answer:
y=6
Step-by-step explanation:
7(3y-1)=119 multiple 3y and -1 by 7
21y-7=119 add 7 to 119
21y=126 divide 126 by 21
y=6
45 is what % of 50. i need to know now
Answer:
90%
Step-by-step explanation:
Answer:
90%.
Step-by-step explanation:
50 is half of 100. 45 is half of 90.
So, 45 is 90% of 50.
3) 15 +b=23
I need help pls I don’t get it
Answer:
b=8
Step-by-step explanation:
15 +b=23
get b by itself by subtracting 15 on both sides
b=8
the answer is
= 8
you need to Subtract 15 from both sides of the equation
+ 15 = 23 + 15 − 15 = 23 − 15
simplify
and then you get your answer
What is 6,383 in expanded form? 6,000 + 30 + 3 63,000 + 800 + 30 C 60.000 + 3,000 + 80 + 3 D 6,000 + 300 + 80 + 3
Answer:
6,383 =
6,000
+ 300
+ 80
+ 3
Step-by-step explanation:
hope this helps :) have a great day !!
8a+5b+3abc when a = 1, b= 2 and c= 3
Answer:
8*1+5*2+3*1*2*3
8+10+18
36 is the answer
13 – 7x = 27
Please help
Answer: -2
Step-by-step explanation:
Subtract 13 on both sides
-7x = 14
Divide by -7 on both sides
x = -2
One tablet is labeled 124 milligrams and another is labeled 0.5 milligrams. What is the total dosage of these two tablets?
Answer:
together they are 124.5 milligrams
Step-by-step explanation:
together they are 124 + 0.5 = 124.5 milligrams
8.A great white shark swims 22 feet below sea level. If the angle of
depression from the sailboat to the shark is 19º, what is the distance
from the sailboat to the shark?
State one integer that makes the following inequality true.
2x – 5 > 11
Answer:
9
Step-by-step explanation:
18-5=13
Answer:
Any integer greater than 8.
Step-by-step explanation:
2x - 5 > 11
⇒ 2x > 16
⇒ x > 8
If b= 18^3 in the right triangle below, what is the value of c?
Sully has completed 3/10 of a book. He has read 45 pages so far. How many pages are in the whole book?
Answer:
150 pages
Step-by-step explanation:
3/10 is equal to 0.3, or 30% of the book. We can set up an equation to find the total number of pages in the book, with x representing the number of pages.
0.3x=45
0.3x/0.3=45/0.3
x=150
What number comes next? 6, 9, 12, 15
Answer:
18
Step-by-step explanation:
Answer: 18, 21, 24, 27, 30
Step-by-step explanation:
Is 2/1/2 greater then 2/3/5
Answer: yes you are correct 2 /1/2 is greater
Step-by-step explanation:
how do I round off 6.2 into a number
Ok so if you are rounding it to the nearest tenths place the answer would be 6
hope that's right!!
Answer:
well if you want to get to a whole number it would be 6
Step-by-step explanation:
you get that by well let's say it was 5.5 the second number is over half so it would round up to a whole of 6 but if it was 5.4 it would round down to 5.
I can explain better if needed
hi can anyone please help me with this
Answer:
n-5
Step-by-step explanation:
..................
Answer:
The second one. 5 - n
Step-by-step explanation:
5 - n because it says a number decreased by five which means n is subtracted by five
What volume will be occupied by 170 grams of NH3 gas at STP?
f(x) = –22 – 7x – 5
Find f(-5)
Answer:
f=7/5x+27/5
Step-by-step explanation:
you just have to divide both sides by -5
Answer:
18
Step-by-step explanation:
-22-7(-5)-5
-22+45-5
-22+40
18
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm
What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.)
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
Which machine is more likely to produce an acceptable cork? the first machine the second machine
Answer:
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
0.933 = 93.3% probability that the second machine produces an acceptable cork.
The second machine is more likely to produce an acceptable cork.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
What is the probability that the first machine produces an acceptable cork?
The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that [tex]\mu = 3, \sigma = 0.1[/tex]
Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3}{0.1}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3}{0.1}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
For the second machine, we have that [tex]\mu = 3.04, \sigma = 0.04[/tex]. Same probability we have to find out. So
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3.04}{0.04}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3.04}{0.04}[/tex]
[tex]Z = -3.5[/tex]
[tex]Z = -3.5[/tex] has a pvalue of 0.0002
0.9332 - 0.0002 = 0.933
0.933 = 93.3% probability that the second machine produces an acceptable cork.
Which machine is more likely to produce an acceptable cork?
Second one has a higer probability, so it is more likely to produce an acceptable cork.
Nhich describes the slope of a horizontal line?
a. positive
b. negative
d. undefined
C. Zero
Step-by-step explanation:
c.
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.What is the GCF of 2ab + 8b?
Answer:
It is given that Tawanna is asked to find the GCF of each term in the expression 2ab+8b.
Firstly she should find the factors of each term in the expression as :
2ab=1,2,a and b
8b=1,2,4,8 and b
Now, GCF is the greatest common factor, since the GCF of the above terms is 1,2 and b, thus she should use each common factor once.
She wrote the common factors twice which is the error in her solution, thus she should use each common factor once.
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Write the equation of the line in slope intercept form equation of the line in slope intercept form is blank
Answer:
y=70x+20
Step-by-step explanation:
Okay so the slope is determined by having two points on the line in this case one of them is (0,20) and (2,160), you're going 140 up and 2 over so the slope would be [tex]\frac{140}{2}[/tex] which equals 70 so thats how you get m, to get b you simply put the y interecept which is at 20.
Plugs those numbers together you get y=70x+20 which is intercept form.
13 x 23 x 234 >..........
Answer:
there is many answers .
Step-by-step explanation:
first work out 13 × 23 × 234 . then think of a smaller number . 69966 > ____ place a smaller number