Answer:
The z-distribution should be used for this problem.
Step-by-step explanation:
The population distribution is assumed to be normal. Which distribution to use?
If we have the standard deviation for the sample, we use the t-distribution.
If we use the standard deviation for the population, we use the z-distribution.
There is a known standard deviation of 2.2 minutes.
This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.
Jeremy read 243 pages on Saturday. He read 53 fewer pages on Sunday.
How many pages did he read in all?
243 = the pages read on Saturday
243 - 53 = 190 = the pages read on Sunday
190 + 243 = 433 = total pages read
Answer = 433
Expand and simplify 4(p+2)-3(5-6p)
Step-by-step explanation:
4p+8-15+18p=04p+18p=-8+1522p-7
What's is the value of X?
Answer:
[tex]116^o[/tex]
Step-by-step explanation:
All triangles equal [tex]180^o[/tex]. Therefore, in order to find the value of [tex]x^o[/tex], all you will have to do is subtract [tex]64^o[/tex] from [tex]180^o[/tex].
[tex]180^o-64^o=116^o[/tex]
[tex]x^o=116^o[/tex]
Which relationship has a zero slope?
A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.
A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.
PLEASE ANYONE!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height
Answer:
10yd
Step-by-step explanation:
area= 1/2bh
area=32yd²
b= 6.4, ¹/2b=3.2
therefore, 32= 3.2h
h= 32/3.2
= 10yd
Help Please!
Please answer the question and please don't type a random thing just to get points.
Step-by-step explanation:
We need to find a midpoint. A midpoint splits the two end coordinates to meet at a point.
Use midpoint formula
[tex] \frac{ - 2 + 10}{2} = 4[/tex]
[tex] \frac{ - 11 + 1}{2} = - 5[/tex]
So the coordinates will be at
(4,-5)
Find the complement of the set given that
U = {x | x is in I and −3 ≤ x ≤ 7}.
(Enter your answers as a comma-separated list.)
{−1, 1, 3, 5, 7}
What is the value of y?
Using the Pythagorean theorem,
[tex]6^{2}+y^{2}=(3+9)^{2}\\\\36+y^2=144\\\\y^2=108\\\\y=\boxed{6\sqrt{3}}[/tex]
How many lines of symmetry does the symbol for a state capital have?
The solution is:
The figure has 4 lines of symmetry.
- A vertical line through the middle of the figure.
- A horizontal line through the middle of the figure.
- The two diagonals through the figure are lines of symmetry too.
What is line of symmetry?In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
here, we have,
Explanation
Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.
For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.
So, the other lines of symmetry for this include
- A horizontal line through the middle of the figure
- The two diagonals through the figure are lines of symmetry too.
To learn more on line of symmetry click:
https://brainly.com/question/29157578
#SPJ3
the angle in a semi circle is?
How many 34 cup servings of granola can be measured from a box containing six cups of granola?
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of servings can be found by dividing the quantity available by the amount per serving.
(6 cups)/(3/4 cup/serving) = (6)(4/3) servings = 8 servings
I NEED HELP QIUCK PLZ HELP ME
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of IT or use 3.14 for I and enter your answer as a decimal.
r = 5
units?
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi
Answer:
Area of circle is 25 π Or 78.5 .
Step-by-step explanation:
We know that
Area of circle = π × r ²
Here,
π = 3.14
r = 5
Substituting the given values in this formula
Area of circle = π × ( 5 ) ²
Area of circle = π × 25
multiplying the values, we get
Area of circle = 25 π Or 78.5
Which of the following expressions could be used to represent "three less than half a number"?
• 1/2 - 3n
• 3 - 1/2n
• 3n - 1/2
• 1/2n - 3
Answer:
the answer is
[tex]3 - \frac{1}{2}n [/tex]
Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s)
Answer:
The speed is 60 mph.
Step-by-step explanation:
distance = 42 miles
Let he drove with speed v and time is t.
distance = speed x time
42 = v t ..... (1)
42 = (v + 10)(t - 1/10) ..... (2)
[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]
So, the speed cannot be negative so the speed is 60 mph.
Find the distance between the points (0, -3) and (4, 0).
A. 7
B. 1
C. 25
D. 5
9514 1404 393
Answer:
D. 5
Step-by-step explanation:
The distance formula is good for finding the distance between two points.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -0)² +(0 -(-3))²) = √(16 +9) = √25
d = 5
The distance between the points is 5 units.
_____
You may notice that the line between the points makes a 3-4-5 right triangle with the coordinate axes.
what happens when you divide by 0? i did this problem in my calculator and it broke.
69 + 420 divided by 0
Answer:
ans is 0
Step-by-step explanation:
69 + 420 ÷ 0
489 ÷ 0
0
Answer:
Undefined
Step-by-step explanation:
When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.
You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.
There is an argument for infinity because for function [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:
[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]
However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.
400 is 100 times as much as
To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour
Answer:
30ml of yellow
18ml of red
Step-by-step explanation:
5x6=30
3×6=18
Answer:
Step-by-step explanation:
a color
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
The area of the bookmark is cm2.
Plzz help me
Answer:
Area of the bookmark = 52.56 cm²
Step-by-step explanation:
The two semicircles attached at both end of the rectangle will give us a full circle.
Therefore,
Area of the bookmark = area of rectangle + Area of a circle
Area of the bookmark = L × W + πr²
Length (L) = 10 cm
Width (W) = 4 cm
radius (r) = ½(4) = 2 cm
π = 3.14
Plug in the values into the equation
Area of bookmark = 10 × 4 + 3.14 × 2²
= 40 + 12.56
= 52.56 cm²
A store sold 26 sweatshirts. White ones cost $10.95 and yellow ones cost $11.50. If $290.75 worth of sweatshirts were sold, how many of each were sold?
x+y=__
$__x+$__y=$290.75
Answer:
15 white shirts and 11 yellow shirts were sold.
Step-by-step explanation:
15 × 10.95=164.25
11 × 11.50=126.5
126.5+164.24=290.75
Which statement is true?
Answer:
second 1
Step-by-step explanation:
i literally just had that question
Lelana bought 21 packs of washable crayons and x packs of non-washable crayons. Write an ex- pression to show how many crayons Lelana bought in total.
please help
Answer:
[tex]21 + x[/tex] packs
Step-by-step explanation:
Given
[tex]Washable \to 21[/tex]
[tex]Non \to x[/tex]
Required
The total packs bought
This is calculated as:
[tex]Total = Washable + Non[/tex]
[tex]Total = 21 +x[/tex]
please help with the steps
9514 1404 393
Answer:
346.1 monthly payments; 28.8 years18.5 years; infinite yearsStep-by-step explanation:
Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.
FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years
A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.
__
Problem 1
You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...
log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months
log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1
The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.
__
Problem 2
Again, solving for t, we get ...
log(1 -Pr/(An))/(-n·log(1 +r/n)) = t
The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...
log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years
Changing the withdrawal to $3000 per month makes the account last forever. It earns $3150 in interest each month, so the account balance continues to increase.
The account will support withdrawals of $5000 per month for 18.5 years.
The account will support withdrawals of $3000 per month forever.
Divide Rs. 1800 among Marmik, Sujata and Kapil in the ratio of 1/3:1/4:1/6
Answer:
Marmik = 800; Sujata = 600; Kapil = 400
Step-by-step explanation:
Given
Let
[tex]M \to Marmik[/tex]
[tex]S \to Sujata[/tex]
[tex]K \to Kapil[/tex]
Given
[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]
[tex]Amount = 1800[/tex]
Required
Divide
We have:
[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]
Multiply the ratio by 12 (to convert them to whole numbers)
[tex]M:S:K = 12 *\frac{1}{3}:12*\frac{1}{4}:12*\frac{1}{6}[/tex]
[tex]M:S:K = 4 : 3 : 2[/tex]
The total ratio is:
[tex]Total = 4 + 3 + 2 = 9[/tex]
So, the amount each collected is:
[tex]Marmik = \frac{M}{Total} * Amount[/tex]
[tex]Marmik = \frac{4}{9} *1800 = 800[/tex]
Using the same formula for others, we have:
[tex]Sujata = \frac{3}{9} *1800 = 600[/tex]
[tex]Kapil = \frac{2}{9} *1800 = 400[/tex]
PLEASE HELP!!!!!
In the formula CL% confidence interval • S what is Zest? O O A. 1 O B. 3 O c. 2 O O D. 4
Using the Empirical Rule, it is found that the critical value for a 68% confidence interval is given by:
A. 1.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we want the 68% confidence interval, hence Zcl = 1 and option A is correct.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
Answer:
1
Step-by-step explanation:
1
HELPPPPPP PLEASEEEEE ILL GIVE BRAINLIEST AND POINTS!!
(you dont need to answer them all but at least help me with a couple)
1) Explain Uganda’s ABC program in the fight against HIV/AIDS
2) Why has the Ugandan government pushed Abstinence as a means of combating the spread of HIV/AIDS?
3) What risks are involved with the use of condoms in combating the spread of HIV/AIDS?
4) On a separate piece of paper, construct a population pyramid to illustrate the current age groups infected by HIV/AIDS in Uganda.
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation
h =
- 6t2 + 6t where h is the frog's height in meters at any given time, t. Find the maximum height the frog reached
describe the pattern in words
What pattern? Include the pattern please. Thank you.
Words used to describe patterns and arrangements - thesaurus
broken. adjective. a broken pattern or sound has
spaces in it.
candy-striped. adjective. ... checked. adjective. ... checkered. adjective. ... chequered. adjective. ... chronological. adjective. ... criss-cross. adjective. ... dappled. adjective.Hope my answer helps uh ✌️
which of the following points lies on the line 2x-y=12
Answer:
You forgot something
Step-by-step explanation:
"which of the following points "
no points follow?????
I really don't understand i need help asap. They were asking to find f(-8)
Answer:
i dont get it either
Step-by-step explanation:
