Answer:
The z-statistic for a 99% confidence interval for the population mean is 2.575.
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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.575.
The z-statistic for a 99% confidence interval for the population mean is 2.575.
A picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, A margin of 1 1/2 inches is to be left on all sides of the picture. What is the area of the printed picture?
Answer:
The area of the printed picture is 172.5 square inches.
Step-by-step explanation:
Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:
81/2 = 40.5
1/2 = 0.5
40.5 - 1.5 x 4 = 34.5
11 - 1.5 x 4 = 5
34.5 x 5 = 172.5
Therefore, the area of the printed picture is 172.5 square inches.
A family spends 1/10 of it's annual income for housing 1/4 for food and clothing 1/5 for general expenses and 2/15 for entertainment what fractional part of their income is spent on these items altogether.
Answer:
The family spends 41/60 of its income on these items altogether.
Step-by-step explanation:
Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:
10, 4, 5, and 15 have a common least multiple at 60.
1/10 = 6/60
1/4 = 15/60
1/5 = 12/60
2/15 = 8/60
6 + 15 + 12 + 8 = 41
Therefore, the family spends 41/60 of its income on these items altogether.
Someone PLEASEEE HELP ME WITH THISSS
Answer:
6 out of 100 and 3 out of 50
Step-by-step explanation:
Susan and Sarah love to play their favorite frivia
video game. Susan has a total score of 87,325
points. Sarah has a total score of 46,175. How
many times larger is the 7 in Susan's score than
Sarah's score?
Answer:
please l don't understand
The radius is 15 cm what is the area
Answer:
A = 225 π c m [tex]x^{2}[/tex]
Step-by-step explanation:
the area of a circle formula with radius
A = π r[tex]x^{2}[/tex]
in this case
A = π × 15[tex]x^{2}[/tex]
A = 225 π c m[tex]x^{2}[/tex]
Answer:
Step-by-step explanation:
Area of a circle = π r² you are given the r radius = 15cm
area = π 15² cm
How do I evaluate:
(-1000)1/3
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
look at pic 10 pts will mark brainilest
Answer:
A) The width is 12 cm; the average time is 3 minutes
Step-by-step explanation:
[tex]\frac{5}{3}= \frac{20}{y}[/tex]
Cross multiply.
5 × y = 3 × 20
5y = 60
5y ÷ 5 = 60 ÷ 5
y = 12
The width is 12 cm. Moving onto the time.
[tex]\frac{12}{4} =\frac{y}{1}[/tex]
Cross multiply.
4 × y = 12 × 1
4y = 12
4y ÷ 4 = 12 ÷ 4
y = 3
The time is 3 minutes.
Answer:
answer is d sorry if I'm wrong
Will give brainliest for correct answer
Answer:
The first picture on the second page
Step-by-step explanation:
The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.
Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
My cousin needs help with this question.
Answer:
3 feet per minute
Step-by-step explanation:
Look at an easy to read point on a grid line intersection.
Then find the slope. Slope = constant of proportionality.
For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.
(6 ft)/(2 sec) = 3 feet per minute
Answer: 3 feet per minute
Joyce packed lunches for the Shiloh Football Team. If she packed 75 pounds of bagged lunches. Each bag weighed 1 1/2 pounds. How many lunches did she pack?
50
60
70
80
WILL GIVE BRANLIEST
Answer:
50
Step-by-step explanation:
total weight=75 pounds
each bag weighed 1 1/2 pound=3/2 pound
no. of lunches=total weight/weight of each lunch
=75/(3/2)
=75*2/3
=50lunches
Answer:
50
Step-by-step explanation:
You need to divide 75 lb by 1 1/2 lb.
[tex] 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 [/tex]
Answer: 50
Seamus draws a triangle with angles of measures 40°, 60°, and 80°. Edwina draws a triangle with these same three angle measures. Which statement must be true?
A Edwina's triangle is the same size as Seamus's triangle.
B Edwina's triangle is the same shape as Seamus's triangle.
C The perimeter of Seamus's triangle is greater than the perimeter of Edwina's triangle.
D The area of Edwina's triangle is less than the area of Seamus's triangle.
Answer:
It may be D or A hopeit helps
Step-by-step explanation:
Given A(3, –7), under which reflection is A (3, 7)?
Answer:
reflection over the x-axis bc y changed
Step-by-step explanation:
5.6(x - 3) = -0.4x + 19.2
Answer:
Step-by-step explanation:
Answer:
this is the answer hope it helps
The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool
Answer:
59m
Step-by-step explanation:
Length= 3 × ( width)
But perimeter= 2width + 2 Lenght= 472
Let length= X
Width= Y
X= 3Y.........eqn(1)
2X + 2Y= 472........eqn(2)
Substitute X= 3Y in eqn(2)
2(3Y) + 2Y = 472
6Y + 2Y= 472
8Y= 472
Y= 59 m
Hence, the width of the pool is 59 m
Convert the decimal 0.07 to a fraction.
Answer:
7/100
Step-by-step explanation:
two decimal places so 100
the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!
Please help find answer to questions 22
9514 1404 393
Answer:
A) 26°
Step-by-step explanation:
The angle x decreases at a rate that is 12 times the rate of increase of angle y.
x = 360 -12y
We want x = 2y, so ...
2y = 360 -12y
14y = 360
y = 360/14 ≈ 25.71 ≈ 26
The integer angle closest to y is 26°.
Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0
the Equation A. r²+ y² = 5 degenerate the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Only option A, r²+ y² = 5
Satisfies the general equation of the line,
thus, From option A the coordinates of the circle on the plane r-y
is (0, 0) and the radius of the circle will be √5.
From option B, x+y=7
It is the equation of the line.
From option C, x² + y² = -2
The sum of two squares can not be negative so it is not a real equation
From equation D, (x - 5)²+(y - 3)² = 0
The radius of a circle can not be zero otherwise it will become a point.
therefore, the Equation A. r²+ y² = 5 degenerate the circle.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ7
Complete question:
Which of the following is a degenerate circle?
O A. r²+ y² = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)² = 0
whats the solution to -12x ≤ -72
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex] - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6[/tex]
The direction changes when we divide by nagative value
I hope that is useful for you :)
Don uses a funnel to pour oil into his car engine. The funnel has a radius of 6 cm and a slant height of 10 cm. How much oil, to the nearest cubic centimeter, will the funnel hold.
1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?
Answer:
the second graph (c)
Step-by-step explanation:
The curve is passing through (0, 2) and (0, -3). Then the correct option is B.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The zeroes of the polynomial function are 2 and -3.
The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.
The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).
Thus, the correct option is B.
More about the polynomial link is given below.
https://brainly.com/question/17822016
#SPJ2
find the value of x. 5.1 perp and angle bisectors geo
Answer:
7
Step-by-step explanation:
4x+30=9x-5
35=5x
x=7
Find the slope of a line that goes through the points (5,-2) and (1,0).
A. 1/2 B. - 1/2 C. 2 D. -2
Answer:
B(-1/2)
Step-by-step explanation:
So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.
So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.
You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.
This is your y value of your slope.
Next lets find the x value of the slope.
Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.
You should get negative 4, since 1-5 equals -4.
This is the x value of the slope.
Knowing your y and x value of the slope, we can tell that the slope will be:
2/-4
This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.
The negative sign can just be moved to the front since it is the only negative and does not change:
Answer:
-1/2
if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x
Answer:
x = 5.
Step-by-step explanation:
The area of a rectangle can be determined by the following formula.
A = l ⋅ w
l stands for length or the longer side.
w stands for width or the shorter side.
Now, we can plug the values we are given into the equation.
A = ( x − 2 ) ⋅ ( x + 8 )
The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.
A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16
Now, we can plug in the given value for the area.
39 = x 2 + 6 x − 16
Next, we simplify by moving all terms to one side and factor the equation.
0 = x 2 + 6 x − 55
Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.
0= ( x − 5 ) ⋅ ( x + 11 )
If the equation ultimately equals zero, either ( x − 5 ) or ( x + 11 ) or both equal zero. Therefore, we set each equal to zero to find the value of
x .
x − 5 = 0 x = 5 x + 11 = 0
x = − 11
Since x is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.
PLS AWNSER I WILL GIVE BRAILIEST
suzy will be walking around the circumfernnce of the fountain
circumfernce= [tex]2\pi r[/tex]
r is half of the diameter so it will be 5
[tex]2\pi (5)=31.4[/tex]
as she walks around it 3 times it will be
[tex]31.4 *3 = 94.2 feet[/tex]
so the answer is H. 94.2 feet
please mark as brainliest
X is proportional to ✓y where y>0 .
y is increased by 44%
work out the percentage increase in x
Answer:
20%
Step-by-step explanation:
x = k√y
Increase y by 44%. y becomes 1.44y.
x = k√(1.44y)
x = 1.2k√y
x went from k√y to 1.2k√y.
(1.2k√y)/(k√y) = 1.2
x is now 1.2 times greater than it was, so the increase in x is 20%.
Answer: 20%
I WILL GIVR U BRAINERLEST AND A LIKE
The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answer:2.7
Step-by-step explanation:
Just multily the 2 products
A loss of $13.50 on a washing machine represents 15% loss on the selling price. what is the selling price?
Answer:
$90
Step-by-step explanation:
Given data
Given data
Loss= $13.5
Percentage of the loss= 15%
Let the full loss be x
Hence we can find the value of x as
15/100*x= 13.5
0.15x= 13.5
divide both sides by x
x= 13.5/0.15
x= $90
Hence the loss in full is $90