Answer:
b. (67.83, 68.17)
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{1.5}{\sqrt{450}} = 0.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 68 - 0.17 = 67.83.
The upper end of the interval is the sample mean added to M. So it is 68 + 0.17 = 68.17.
This means that the correct answer is given by option B.
You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places
Answer:
The answer is "[tex](32.8318736, 29.1681264)[/tex]"
Step-by-step explanation:
When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:
[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]
Complete the factored form of the linear expression.
15x + 12y = ( )( + )
Answer:
3(5x + 4y)
Step-by-step explanation:
Given
15x + 12y ← factor out 3 from each term
= 3(5x + 4y) ← in factored form
four numbers 1-6 you roll a six-sided die whose sides are numbered from 1 through 6. Find the probability of rolling the following. NO LINKS!!!!
Answer:
#1
Since half of the numbers are even, 2, 4, 6
P(even) = 3/6 = 1/2#2
Multiple of 3 are 3 and 6:
P(multiple of 3) = 2/6 = 1/3#3
The numbers ≤ 4 are: 1, 2, 3, 4
P(≤4) = 4/6 = 2/3#4
Prime numbers are 2, 3, 5
P(prime) = 3/6 = 1/2#5
Numbers > 1 are 2, 3, 4, 5, 6
P(>1) = 5/6#6
A four, there is one option
P(4) = 1/6A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Answer:
27.4 feet down deep
Step-by-step explanation:
28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up
leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea
Answer:
27.4 feet
Step-by-step explanation:
.3 ft per sec for 6 sec = 1.8 feet
.3 ft per sec for 4 sec = 1.2 feet
28 - 1.8 + 1.2 = 27.4
The base of a solid right pyramid is a square with an
edge length of n units. The height of the pyramid is n
1 units
Which expression represents the volume of the
pyramid?
VA
on(n-1) units
on(n-1)2 units
or’n - 1) units
on*(n − 1) units
(n-1)
n
Answer:
C
Step-by-step explanation:
Base area = n^2
V = (base area * height)/3 = (n^2 *(n-1)/3 = 1/3n^2(n-1)
The expression for the volume of pyramid is V = ( 1/3 )n² ( n - 1 ) units³
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the base edge length of the solid pyramid be = n units
So , the base area of the pyramid = n² units²
Let the height of the pyramid be = ( n - 1 ) units
And , Volume of Pyramid = ( 1/3 )a²H
On simplifying , we get
V = ( 1/3 ) n² ( n - 1 ) units³
Hence , the expression is V = ( 1/3 ) n² ( n - 1 ) units³
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Can somebody help me with this question
Answer:
y = -⅓x + 7
Step-by-step explanation:
Given the two points that lie on the line (3, 6) and (-3, 8), we can find the equation without the grid by finding the slope (m) and y-intercept (b).
The equation would be written in the form of y = mx + b (slope-intercept form):
✔️Find m:
Slope (m) = change in y/change in x
Slope using (3, 6) and (-3, 8), would be:
Slope (m) = (8 - 6)/(-3 - 3) = 2/-6
m = -⅓
✔️Find b:
Substitute (x, y) = (3, 6) and m = -⅓ into y = mx + b to find b
6 = -⅓(3) + b
6 = -1 + b
6 + 1 = b
b = 7
✅Write the Equation:
Substitute m = -⅓ and b = 7 into y = mx + b
Thus,
y = -⅓x + 7
Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.
I really need help ):
Answer:
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
Step-by-step explanation:
Given
[tex]-x+5x^2+1[/tex]
Required
Rewrite and identify a, b and c
The required form is:
[tex]ax^2 + bx + c[/tex]
Equate both expressions
[tex]ax^2 + bx + c = -x+5x^2+1[/tex]
Rewrite as:
[tex]ax^2 + bx + c = 5x^2-x+1[/tex]
Compare the expressions on either sides
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
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BEDMASS or PADMASS solve this pls
Answer:
Step-by-step explanation:
376389546535150-540111-107525Please help me quickly, thank you
Step-by-step explanation:
P = 5x+2y
P = 5(3)+2(5) = 15+10 = 25 meters
x = 3/25 ×32 = 96/25 = 3.84 meters
y = 5/25 × 32 = 6.4 meters
P = 5x+2y
P = 5(3)+2(5) = 15+10 = 25 meters
x = 3/25 ×32 = 96/25 = 3.84 meters
y = 5/25 × 32 = 6.4 meters
kathy runs a 26.2-mi;e marathon at an average pace of 6.2 minutes per mile how long will it take her to finish the marathon round your answer to the nearest minute
Answer:
162 minutes
Step-by-step explanation:
Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162
all the angles of polygon of 30 sides are equal what is the measure of each angle
Answer:
(30-2)*180 calculate and get ur answer
If the mean of a normal distribution is 105, what is the median of the distribution? O A 315 OB. 105 O C. 420 D. 210 SUBM
Answer:
105
Step-by-step explanation:
A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.
For the scenario given,
Since mean = 105 ; then median = 105
How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?
Write the number 2.4 in the form
A/B, using integers,
Answer:
[tex] \frac{12}{5} [/tex][tex]2 \frac{2}{5} [/tex]Step-by-step explanation:
Convert to simplified fraction:
Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
Convert to Mixed fraction:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.
[tex]2 \frac{4}{10} [/tex]
Reduce the fractional part of the mixed number.
[tex]2 \frac{2}{5} [/tex]
Hope it is helpful...7 = -10s - 3 for iready
Answer:
-1 =s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide by -10
10/-10 = -10s/-10
-1 =s
How many beans stacked on top of each other would it take to reach the moon. And we're talking Lima beans here.
Answer:
I would say more than 4 billion...
Step-by-step explanation:
Please help me with i ii iii
Step by step
(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y
(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n
(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3
What is h(−8) for h(x)=1/4x^2+7x?
Answer:
h(-8) = -40
Step-by-step explanation:
Find h(-8) by plugging in -8 as x:
h(x) = 1/4x² + 7x
h(-8) = 1/4(-8)² + 7(-8)
Simplify:
h(-8) = 1/4(64) - 56
h(-8) = 16 - 56
h(-8) = -40
So, the answer is h(-8) = -40
The value of h(-8) is -40.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given:
h(x)=1/4x²+7x
h(-8)= 1/4* 64+7*(-8)
= 16-56
= -40
Hence, h(-8)=-40.
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The coefficient of x in the expansion of (x + 3)(x - 1) is
It’s either
2
-2
-3
4
Answer:
[tex]{ \tt{(x + 3)(x - 1)}} \\ = { \tt{ {x}^{2} - x + 3x - 3 }} \\ = { \tt{ {x}^{2} + 2x - 3 }} \\ \\ { \boxed{ \bf{coefficient = 2}}}[/tex]
HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!
What's the Error? Explain the error. Find the correct solution.
42-(-6)=-7
Answer: 42 -(-6)= 48
Step-by-step explanation:
a negative - a negative will always equal a positive
:)
the equation of a circle C is (x+2)^2+(y-7)^2=36. What is its crnter (h,k)?
Answer:
The center is ( -2, 7) and the radius is 6
Step-by-step explanation:
A circle is written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x+2)^2+(y-7)^2=36
(x - -2)^2+(y-7)^2=6^2
The center is ( -2, 7) and the radius is 6
"the quotient of nine times a number and seven"
Answer:
[tex]9n \div 7[/tex]
Step-by-step explanation:
"the quotient of nine times a number and seven"
Hope it is helpful...Q1: Suppose that the numbers of persons per car arriving at the entrance to an amusement park has an average 2. What is the probability that a car arriving at the entrance contains a) No person b) Only one person c) More than one person d) Eight persons e) At least 3 person
Please help i need it
Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters?
A. 11,000 mm
B. 12,000 mm
C. 12,500 mm
D. 13,000 mm
Answer:
b. 12 000 mm
Step-by-step explanation:
multiply by 1 000
The distance from Nairobi, Kenya to Pretoria, South Africa is 3,969 kilometers. The distance from Cairo, Egypt to Tunis, Tunisia is 2,811 kilometers. Estimate the difference between these two distances by first rounding to the nearest hundred. i need help pleasee
Answer:
Step-by-step explanation:
3,969 = 4,000 rounded to nearest hundred
2,811=3,000 rounded to nearest hundred
therefore... the difference is 4,000 - 3,000 = 1,000 kilometers
Answer:1,100
Step-by-step explanation:
rounding 3,969 to the nearest hundreds is 4,000 and rounding 2811 to the nearest hundred is 2900. Now you subtract 4000-2900 = 1100.
Finding the volume of the solid.Use unit cubes to help.
Answer:
the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.
Hope this help
Have a nice day :)
Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working
Answer:
[tex]14\text{ and }16[/tex]
Step-by-step explanation:
Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].
Therefore, we have the following equation:
[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]
Thus, the larger number is [tex]x+2=\boxed{16}[/tex]
