Answer:
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 41 - 1 = 40
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams
The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
I got a question! what is managing liquidity?
Answer:
Liquidity management refers to a set of processes, strategies, and supporting mechanisms/tools that ensure a business or bank is able to access cash when and where it is needed. This cash could be used to pay for goods and services, payroll, debt repayment, or new investment opportunities
Step-by-step explanation:
can someone please help me and not jsut want points ebcause i relaly need help..
y=9x
y=2x+63
Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4
miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph
Answer:
It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.
Step-by-step explanation:
Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:
27 - (4 + 5) = 27 - 9 = 18
27 - (4 + 5) x 3 = 0
Therefore, it took 3 hours for the two to meet.
4 x 3 = 12
Thus, they were 12 miles from Joseph's home when they met.
Dennis Hampton earns a straight com-
mission of 7% on sales of $5,000 or less
and 9% on sales in excess of $5,000. One
week Dennis had a gross pay of $578.
What were his total sales for that week?
Answer:
Denis's total sales that week were $ 6,422.22.
Step-by-step explanation:
Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:
7 = 578
100 = X
100 x 578/7 = X
57,800 / 7 = X
8,257.14 = X
9 = 578
100 = X
100 x 578/9 = X
57.800 / 9 = X
6,422.22 = X
Therefore, Denis's total sales that week were $ 6,422.22.
The school is choosing a new mascot and new school colors. The choices for mascot are a lion, a bear, and a
porpoise, and the choices for colors are blue, black, brown, and grey. How many possible mascot and color
combinations are there?
Answer:
12 options
Step-by-step explanation:
Blue
Blue and Lion
Blue and Bear
Blue and Porpoise
Black
Black and Lion
Black and Bear
Black and Porpoise
Brown
Brown and Lion
Brown and Bear
Brown and Porpoise
Grey
Grey and Lion
Grey and Bear
Grey and Porpoise
There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from
Use a Venn diagram to answer.
If n(A) = 8, n(B) = 9 and n(An B) = 6, what is n(AUB)?
Answer:
[tex]n(A \cup B) = 6[/tex]
Step-by-step explanation:
In Venn sets, we have that:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
In which n is the number of elements that each set contains.
In this question:
[tex]n(A) = 8, n(B) = 9, n(A \cap B) = 6[/tex]
So
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B) = 8 + 9 - 6 = 17 - 6 = 11[/tex]
So
[tex]n(A \cup B) = 6[/tex]
A florist sells flower bouquets. The table shows the prices for various amounts and kinds of bouquets.
Flower Bouquets
Tole Price
daisies
$23.90
tulips
$60.80
roses
?
A customer buys 3 bouquets of tulips and 2 bouquets of roses for $147.70. What is the price of a bouquet of roses?
$28.25
$29.54
$55.93
S86.90
Answer:
$28.25
Step-by-step explanation:
$28.25
The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews totaling 12 grams.
A) How many calories do you consume
B) How many cashews are in one serving?
(PLEASE HELP)
Answer:
A) I consumed 69 calories.
B) There are 21 cashews in one serving.
Step-by-step explanation:
Given that the nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams, and I eat 9 cashews totaling 12 grams, to determine how many calories do I consume and how many cashews are in one serving should be performed the following calculations:
A)
28 = 161
12 = X
12 x 161/28 = X
1932/28 = X
69 = X
So, I consumed 69 calories.
B)
12 = 9
28 = X
28 x 9/12 = X
252/12 = X
21 = X
Therefore, there are 21 cashews in one serving.
The figure below is step 1 for drawing what type of solid
Answer:
hexagonal prism
Step-by-step explanation:
has 6 sides
PLEASE HELPPP
Richard divided a 1.954-L bottle of spicy tomato juice
equally among 5 glasses. How much juice is in each glass?
Answer:
390.8ml
Step-by-step explanation:
1.954 divided by 5=0.3908 litres
0.3908liters=390.8ml
. Look at the figure. In degrees, what
is the angle measure of the shaded
part?
Answer:
80%
Step-by-step explanation:
The area of a triangle is 20 square feet.
What are the height and base of the
triangle?
Pls help need answers quick
Rachel is treating her three friends to go see The Avengers: End Game. Each movie ticket costs x dollars. Rachel orders each of them (including herself) candy that cost $3.75 each and drinks that cost $4.25 each.
Answer:
4(x+8) OR 4x+32
Step-by-step explanation:
4x+(4*3.75)+(4*4.25)
There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.
If you want to factor it, the answer would be 4(x+8)
If you want it simplified, it would be 4x+32
At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 119 mph and 130 mph
Answer:
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.
This means that [tex]\mu = 97, \sigma = 11[/tex]
What proportion of the player's serves are expected to be between 119 mph and 130 mph?
This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 97}{11}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
X = 119
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{119 - 97}{11}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
0.9987 - 0.9772 = 0.0215
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
8. An isosceles triangle includes two 56' angles. Which equation could be
used to find the measure of the third angle?
Answer:
B. x=180-2(56)
Step-by-step explanation:
Isosceles triangles have 2 angles of equal measure and 1 different measure. we add both measures or multiply them by 2 and then subtract them from 180 (sum of all angle measurements in a triangle) to find the missing measure
AABC ~ AQRS
Find the missing side length, n.
R.
B
6
4
8
S
n
n = [?]
Enter
will give brainliest
Answer:
12
Step-by-step explanation:
6/4 is equal to 1.5, multiply that by 8 and you get 12
A tree grows at a rate of 1.2 centimeters per day. How many meters will it grow in 80 days?
Answer:
0.96meters
Step-by-step explanation:
1.2*80 = 96
96cm = 0.96meters
WORTH A LOT OF POINTS. WILL GIVE BRAINLEIST THINGY TO WHOEVER SOLVES IT!
Answer:
the area of the small square 4c
the total area of the 4 triangles is 2ab
a^2+2ab+b^2 = a^2+2ab+b^2
subtracting gives 2ab from both sides gives us a^2+b^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve the equation: 315= 390- 25q
Answer:
q=3
Step-by-step explanation:
315=390-25q
390-25q=315
390-25q-390=315-390
-25q=-75
Divide both sides by 25
q=3
Answer: q = 3
Step-by-step explanation:
315 = 390 - 25Q
1. Minus 390 from both sides
-75 = =-25q
2. Divde both sides by -25 to get q by itself
3 = q or q = 3
Paul sells chocolate chip cookies and peanut butter cookies. Baking a batch of chocolate chip cookies takes 1.75 cups of flour and 2 eggs. Baking a batch of peanut butter cookies takes 1.25 cups of flour and 1 egg. Paul has 10 cups of flour and 12 eggs. He makes 4$ profit per batch of chocolate chip cookies. He makes 2$ profit per batch of peanut butter cookies. How many batches of peanut butter cookies should Paul make to maximize his profit? A. 1 B. 2 C. 5 D.8
Answer:8 easy
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
1.25 x 8 = 10 Cups of Flour
1 x 8 = 8 Eggs
2 x 8 = $16
A sweater is marked down from $25 to $19. What is the percent of change?
hi
25X = 19
X= 19/25
X = 0.76
so new price is 0.76 % of former price. So it's has been reduce of 24 %
let's check : 25 * (1-24/100 ) = 25 * 0.76 = 19
7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP
Answer: Hello, there! Your Answer is Below^^
7.O2 Would be The Correct Answer.
Step-by-step explanation:
So I Subtracted 20 - 12.98 And Got the Answer $ 7.02
To Add Or subtract Decimals Here's what you can do to find your Answer
Line up the numbers vertically so that the decimal points all lie on a vertical line.
Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.
Hope this Helps!!
Have a great day!!!
I Really need help with this question!
Logan ordered a box of gingerbread cookies and sugar cookies the box included a total of 70 cookies and 60% of them were gingerbread how many gingerbread cookies did Logan get
Answer:
42
Step-by-step explanation:
60% of 70 is 42
20 PTS LOOK AT PIC FOR QUESTION WILL MARK BRAINILEST clc
Answer:
295 square feet
Step-by-step explanation:
Break the figure up into 3 rectangles, and then find the area of each rectangle and add all areas together.
15*3=45
19*10=190
15*4=60
45+190+60=295
Answer:26 *15*4*5*3=23400
Step-by-step explanation: Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
Which graph is defined by the function given below?
y = (x + 2)(x + 7)
118
10
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
Graph A
Step-by-step explanation:
the zeros of the function are
0=x+2 x=-2
and
0=x+7 x=-7
so the graph where the function crosses those two points at y=0
Find the MEAN
Sandra's scores on the first 5 tests were 87%, 92%, 76%, 92%, and 89%.
Answer:
87.2
Step-by-step explanation:
Add them all up and divide by how many scores.
find the direction of
u = - 3 i + 8 j
Answer:
i came up with 1 so i hope it helps u. XD
Step-by-step explanation:
(8)
Tricia used 2 bags of sugar to bake some cupcakes.
She used of another bag of sugar to make some macaroons.
How many bags of sugar did she use altogether?
bags of sugar
Answer:
She used 3.
Step-by-step explanation:
You have 2 bags.
You have another bag.
You use all of them.
How many did you use altogether?
3.
Tricia used 2.5 bags of sugar altogether.
What is an expression?In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that represents a mathematical quantity or relationship. It can be as simple as a single number or variable, or it can be more complex, involving multiple terms and operations.
Tricia used 2 bags of sugar to make cupcakes and used 1/2 of another bag of sugar to make macaroons.
Therefore, the total amount of sugar she used is:
2 + 1/2 = 2.5 bags of sugar.
So, The number of bags Tricia used was 2.5 bags of sugar altogether.
To know more about an expression follow
https://brainly.com/question/24506081
#SPJ2
If y varies directly as x and x=6 when y = 3 what will y be when x = 10
Answer:
y = 5
Step-by-step explanation:
The given line passes through the points and (4, 1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?
9514 1404 393
Answer:
y +3 = 1/2(x +4)
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The point-slope form of the equation for a line is ...
y -y1 = m(x -x1)
Filling in the known values, this is ...
y -(-3) = 1/2(x -(-4))
y +3 = 1/2(x +4)
Answer:
B
Step-by-step explanation:
