Answer:
The 98% confidence interval estimate of the mean is between 32.45 hg and 34.75 hg.
32.3 is not a part of the confidence interval, which means that yes, these results are very different from the confidence interval 32.3 hg
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 Ztable as such z has a pvalue 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{6.2}{\sqrt{157}} = 1.15[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 33.6 - 1.15 = 32.45 hg
The upper end of the interval is the sample mean added to M. So it is 33.6 + 1.15 = 34.75 hg
The 98% confidence interval estimate of the mean is between 32.45 hg and 34.75 hg.
Are these results very different from the confidence interval 32.3 hg
32.3 is not a part of the confidence interval, which means that yes, these results are very different from the confidence interval 32.3 hg
I need help please :(
Answer:
3) x=60
6)x=86
9) x=40
Step-by-step explanation:
3) 60+60+x=180
120+x=180
X=180-120
x=60
6) 18+(x-8)+(x-2)=180
18-8-2+x+x=180
8+2x=180
2x=180-8
2x=172
x=172/2
x= 86
9) (2x+5)+60+(x-5)=180
2x+x+5+60-5=180
3x+60=180
3x=180-60
3x=120
x=120/3
x=40
A right triangle has a side length of 15 feet and a hypotenuse of 17 feet. What is the length of the missing leg? Round to the nearest tenth if necessary.
Answer:
the correct answe is the othe leg is 12 cm long.
Answer:
8 feet
Step-by-step explanation:
using the Pythagorean theorem:
17^2 = 15^2 + X^2
289 = 225 - X^2
X^2 = 64
X = 8 feet
At Stater Brothers there is a gallon of ice cream for $4.75 it is on sale for 15%
off. How much is the price of the ice cream after the sale?
How much was saved?
Answer:
Price after sale: $4.04
$0.71 saved
Step-by-step explanation:
-2(x + y)2 for for x =-3, y = 2 with steps
Step-by-step explanation:
-2(-3+2)2
(-2×-3)+(-2×2)2
(6-4)2
2(6-4)
(2×6)+(2×-4)
12-8=4
how do i find the yield percentage?
Answer:
First make sure the both weights have the same units.
Take your experimental yield and divide it by the theoretical yield.
Multiply this value by 100 to find the percent yield.
PLEASE ANSWER FAST.
I HAVE BEEN SO CONFUSED!? :(
A cone is placed inside A cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so it’s peak touches the edge of the cylinders base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?
Find x plss:))))))))
Answer:
180 - 90 = 90
half of 90 = 45
40 and 50??
Step-by-step explanation:
solve for the value of n
Answer:
n = 12
Step-by-step explanation:
4n - 2 + 3n + 8 + 90 = 180
combine like terms
7n + 96 = 180
-96 -96
7n = 84
divide by 7
n = 12
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
Answer:
n = 12
Step-by-step explanation:
Remark
The two angles are complementary. That's because the third angle is a right angle.
Solution
4n - 2 + 3n + 8 + 90 = 180 Subtract 90 from both sides.
4n - 2 + 3n + 8 = 180 -90 Combine like terms.
7n + 6 = 90 Subtract 6 from both sides.
7n = 90 - 6
7n = 84 Divide by 7
n = 84/7
n = 12
A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
input: 1 2 3 4 n
output: -10 -13 -16 -19 (Blank)
Answer:
5; -22
Step-by-step explanation:
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional.
Given the following data;
Input: 1 2 3 4 n
Output: -10 -13 -16 -19
For an input variable of 1, 2, 3, 4; the output variable is -10, -13, -16, -19 respectively.
To find the value of n;
We can deduce that the input is increasing by a value of 1.
Thus, n = 4 + 1 = 5
For the output;
We can deduce that the output is increasing by a value of -3.
Thus, the next output = -19 + (-3) = -22
Answer:
5; -22
Step-by-step explanation:
Hope this will help
Choose True or False for each statement.
58.07 > 58.4
Choose...
29.6 = 29.600
Choose...
140.23 < 140.203
Choose...
108.505 > 108.5
Choose...
Answer:
58.07 > 58.4 is false.
29.6 = 29.600 is true.
140.23 < 140.203 is false.
108.505 > 108.5 is true.
A local restaurant is having a special every Thursday evening . You may choose an appetizer , entrée, and dessert for one low price. There are 5 appetizers to choose from, 12 entrées to choose from, and 4 desserts to choose from. How many different possible combinations would there be of one of each category ?
5
12
4
21
240
The answer is 240 different possible combinations would there be of one of each category
What is fundamental counting principle ?
The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.
It states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m n\times m n×m ways to perform both of these actions.
He can choose an appetizer 5 ways.
For each of those 5 ways to choose an appetizer,
he can choose an entree 12 ways.
That's 5*12 = 60 ways he can choose an appetizer and an entree.
For each of those 60 ways to choose an appetizer and an entree,
he can choose a dessert 4 ways.
That's 60*4 = 240 ways he can choose an appetizer, an entree,
and a dessert.
Therefore 240 different possible combinations would there be of one of each category .
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Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
176.71^2 in
Step-by-step explanation:
yeh
if 1/2x + 3 = 3/4 - x, what is the Value of x?
Answer:
x=-2/9
Step-by-step explanation:
A line contains the points (-2, -8) and (3, 5). What is the slope of the line?
A. 13/5
B. -5/13
C. 5/13
D. -13/5
Answer:
Step-by-step explanations
A.13/5
find the surface area of the rectangular prism
Find the area for the following figure.
O 124. 86 cm2
62.93 cm2
26.5 cm2
137.45 cm2
T= 3x + 4y
(b) Work out the value of y when T= 38 and x = 6
Answer:
y is 5 hope this helps u welcome
The value of y in the given expression T= 3x + 4y when T= 38 and x = 6 would be 5.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
We have been given an expression;
T= 3x + 4y
when T= 38 and x = 6
38 = 3(6) + 4y
4y = 38 - 18
4y = 20
y = 5
Learn more about expression;
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can anyone solve this equation? (pls I really need it now)
a(x-b)=X
Answer:49
Step-by-step explanation:
Answer:
Solving for x: x= - ab/(1-a)
Solving for a: a= x/(x-b)
Solving for b: b=-x(1/a-1)
Fernando can run 600 meters
in 5 minutes. At this rate,
how many minutes would it
take him to run 1,500
meters?
Answer:
12.5 minutes
Step-by-step explanation:
Given that,
Fernando can run 600 meters in 5 minutes.
We need to find how many minutes would it take him to run 1500 meters.
ATQ,
600 m = 5 min
1 m = (5/600) min
For 1500 m,
[tex]t=\dfrac{5}{600}\times 1500\\\\t=12.5\ min[/tex]
So, it will take 12.5 minutes to run 1500 m.
ther are 9 thirds in 3 ones a multiply and divide equashon
Answer:
That is a division equation.
Step-by-step explanation:
h - 53 = 25 and
c -72 = 34
please i need help
Answer:
h=78
c=106
Step-by-step explanation:
Answer:
h = 78
c = 106
Step-by-step explanation:
h - 53 = 25
h = 25 + 53
h = 78
c - 72 = 34
c = 34 + 72
c = 106
Which scatterplot shows the correct division for using the Area Method to draw the trend line?
Answer:
A
Step-by-step explanation:
Got it right
The correct division for using the Area Method to draw the trend line is shown by Option A.
What is a Scatter Plot ?A scatter plot is the plot that consists of data that is randomly spread and doesn't have a fixed pattern , A trend has to be determined from the data to understand the pattern.
The given scatter plot shows an upstream and a downstream , The correct division will be from the point where it start following a fixed pattern , Which is in the Option A attached.
Therefore The correct division for using the Area Method to draw the trend line is shown by Option A.
The missing Options are attached with the answer
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What are the values of x and y in the parallelogram?
9514 1404 393
Answer:
x = 60
y = 30
Step-by-step explanation:
Adjacent angles are supplementary.
(5x -180) +x = 180
6x = 360 . . . . . . . . . . add 180, collect terms
x = 60 . . . . . . . . divide by 6
Opposite angles are congruent.
2y = 60 . . . . . . 2y = x
y = 30 . . . . . . . .divide by 2
The value of x is 60; the value of y is 30.
a man uses 1/8 of his salary after tax on house rent, and a 3/5 on transport, food and other household items.
He then reserves 5/8 of the remainder on leisure and incidentals while saving the rest. if he saves$37135 every month. How much is his salary after tax.( round to the nearest whole number)
Answer:
let x be his salary after tax
house rent=1/8x
transport, food,=3/5x
total expenses, =1/8x + 3/5x
=29/40x
remainder amount =(x - 29/40x) = (1 - 29/40)x
leisure and incidentals,=5/8(1 - 29/40)x
amount saved = $37135
hence, the equation for his salary after tax is;
x = (29/40x) + 5/8(1 - 29/40)x + 37135
x = (29/40x) + (5/8x) - (29/64x) + 37135
x = (287/320x) + 37135
x - 287/320x = 37135
33/320x = 37135
x = 360096.97
to the nearest whole number, his salary after tax is $360097
Step-by-step explanation:
first represent his salary after tax by a variable
add the two expenses to get the total amount spent
substract the total amount spent from the variable to get the remainder
now fine 5/8 0f the remainder to get the amount spent on leisure and incidentals.
note that there was am amount that he saved.
base on this, we can now express an equation in terms of "
x" to calculate for his salary after tax
Pete has an old playstation that he bought for $400.
The playstation depreciates by 30% each year
Answer:
1 year= $280
Step-by-step explanation:
30% of 400= 0.3 * 400= 120
400-120= 280
after one year the playstation cost 280
30% of 280= 0.3 * 280= 84
280-84= 196
after 2 years it cost $196
multiply the number by 0.3 to get 30% of the total
a number w decided by 5 equals 6
Answer:
You write the question wrong but it's okay
Step-by-step explanation:
it will be 30
i hope my answer help you
Answer:
30
Step-by-step explanation:
equation:
[tex]\frac{w}{5} = 6[/tex]
multiply 5 on both sides:
[tex]\frac{w}{5}[/tex] x 5 = 6 x 5
x = 30
What is the sum of the polynomials
Answer:
it's B
4m-24n+3
Step-by-step explanation:
photo math
a 1200 seat theater sells two types of tickets for a concert. premium seats sell for $30 each and regular seats sell for $20 each. at one event $29820 was collected in ticket sales with 20 seats left unsold. how many of each type of ticket was sold?
Answeeeeeeeeeeeeeeeeeeeeeeeeeeeeeqrqr
Step-by-step explanerqation:
eqrqrrqer
What are the x-intercept and y-intercept for this line: 5x − 3y = 15
Answer:
5x + 3y = 15 are (3,0) and (0,5).
Step-by-step explanation:
To learn how to find the x intercept, we will change the y for 0 and solve for x.
How do you solve an inequality when there is a negative number such as -8x is greater than 72
Answer:
When you divide both sides of an inequality, you need to flip the inequality sign.
Step-by-step example:
-8x > 72
Divide both sides by -8
x < -9