Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10
Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).
The Langs family drove 225 miles to a beach. Most of their travel was on interstate highways. The Langs drive 65 miles per hour on the last 45 miles of their trip. On average, the Langs traveled 20 miles on one gallon of gas. The gas tank on the Langs' car holds 15 gallons of gas. The Langs had a full tank when their trip began. How many times did they stop to refill the tank before they reach the beach
Answer:
Step-by-step explanation:
I really need help you’ll get 35 points if u get it right
Answer:
1/3
Step-by-step explanation:
Combine the xs
Answer:
[tex]\frac{1}{3} x + \frac{1}{2}[/tex]
Step-by-step explanation:
The following expression is equivalent to
[tex]\frac{1}{3} x + \frac{1}{2}[/tex]
what is the answer?
17%
20%
14%
1/5
1/6
1/7
Answer:
14% and 1/7
Step-by-step explanation:
please help me out with this problem. will give thanks!
Answer:
It is an isosceles triangle.
Step-by-step explanation:
sum of angles of triangle = 180
since it is isosceles two angles will be same. let it be x.
x + x + 22 = 180
2x = 180 - 22
2x = 158
x = 79°
The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=
Answer: 8
Step-by-step explanation:
2 cups = 16
Half of the 16 is 8
Help!!!!!!!!!! I need it asap
Answer:
(-4,3)
Step-by-step explanation:
I used photo math
Helppppp
a. 90
b. 85
c. 75
d. 115
Answer:
85is the correct answer
A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
for correct answers)
a) How many sides does it have?
b) What is the sum of the interior angles?
c) What is the measure of one of its exterior angles?
Answer:
a) 40 sides
b) 6840
c) 9 gegrees
Step-by-step explanation:
interior angle= (n-2)180
n
[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]
so total number of sides is 40
b) Sum of interior angles= (n-2)×180
(40-2)×180
38×180
6840
c) Exterior angle = 360 ÷ n
360÷40 =9 degree
I need some help find the area of the shaded region and round to the nearest hundredth
Answer:
The area of the shaded region is 21.45cm².
1 is subtracted from the division of a number and 9. The result is -2.
Answer:
The number is - 9.
Step-by-step explanation:
(y ÷ 9) - 1 = - 2
(y ÷ 9) - 1 + 1 = - 2 + 1
y ÷ 9 = - 1
y ÷ 9 × 9 = - 1 × 9
y = - 9
Tengo que leerme un libro de 1267 páginas en 3 semanas. La primera semana he leído 189 páginas y la segunda el triple que en la primera, ¿cuántas páginas me quedan por leer en la tercera semana?
Answer:
Quedan 511 páginas por leer en la tercera semana.
Step-by-step explanation:
Si el libro tiene 1267 y debe leerse en 3 semanas, se ha leído 189 páginas en la primera semana y 567 páginas en la segunda semana, es decir, el triple del número de páginas leídas en la semana anterior, la cantidad de páginas por leer para la tercera se determina mediante la siguiente sustracción:
[tex]x = 1267 - 189 - 567[/tex]
[tex]x = 511[/tex]
Quedan 511 páginas por leer en la tercera semana.
How do you write 4.7x10^1 in standard form?
Answer:
Hello I am here to help!!
Step-by-step explanation:
The answer is 47
It's written as 47! <3
Triangle A (1, 1), B (4, 4), C (6, 2) is a: Group of answer choicesIsosceles triangle Right triangle Acute triangle None of the other answers are correct Equilateral triangle
Answer:
Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.
Step-by-step explanation:
First, we determine the lengths of sides [tex]AB[/tex], [tex]BC[/tex] and [tex]AC[/tex] by the Equation of the Line Segment, which is based on the Pythagorean Theorem:
Line segment AB
[tex]AB = \sqrt{(4-1)^{2}+ (4-1)^{2}}[/tex]
[tex]AB = 3\sqrt{2}[/tex]
Line segment BC
[tex]BC = \sqrt{(6-4)^{2}+(2-4)^{2}}[/tex]
[tex]BC = 2\sqrt{2}[/tex]
Line segment AC
[tex]AC = \sqrt{(6-1)^{2}+(2-1)^{2}}[/tex]
[tex]AC = \sqrt{26}[/tex]
And the angles are found by means of the Law of Cosine:, where acute angles exist when [tex]0 < \cos \theta < 1[/tex], whereas obtuse angles exist for [tex]-1 < \cos \theta < 0[/tex].
Angle A
[tex]BC^{2} = AB^{2} + AC^{2} - 2\cdot AB\cdot AC \cdot \cos A[/tex] (1)
[tex]\cos A = \frac{BC^{2}-AB^{2}-AC^{2}}{-2\cdot AB\cdot AC}[/tex]
[tex]\cos A = \frac{8-18-26}{-2\dot (3\sqrt{2})\cdot (\sqrt{26})}[/tex]
[tex]\cos A = 0.832[/tex]
Angle B
[tex]AC^{2} = AB^{2} + BC^{2} - 2\cdot AB\cdot BC\cdot \cos B[/tex] (2)
[tex]\cos B = \frac{AC^{2}-AB^{2}-BC^{2}}{-2\cdot AB\cdot BC}[/tex]
[tex]\cos B = \frac{26-18-8}{-2\cdot (3\sqrt{2})\cdot (2\sqrt{2})}[/tex]
[tex]\cos B = 0[/tex]
Angle C
[tex]AB^{2} = AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C[/tex] (3)
[tex]\cos C = \frac{AB^{2}-AC^{2}-BC^{2}}{-2\cdot AC\cdot BC}[/tex]
[tex]\cos C = \frac{18 -26-8}{-2\cdot (\sqrt{26})\cdot (2\sqrt{2})}[/tex]
[tex]\cos C = 0.555[/tex]
Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.
Which of the following are possible rational roots of the polynomial function? Check all that apply. F(x) = 5 x2-3x+3
A. ±3
B. ±1
C. ±1/3
D. ±5
E. ±1/5
The possible rational roots are (a) ±3, (b) ±1, (e) ±5
How to determine the possible roots?The polynomial function is given as:
f(x) = 5x^2 - 3x + 3
Take the factors of the first term and the last term
5 = 1, 5
3 = 1, 3
The rational root is then calculated using:
Roots =±(Factors of 3)/(Factors of 5)
This gives
Roots =±(1, 3)/(1, 5)
Solve the expression
Roots = ±1, ±3/5, ±1/5, ±3
Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5
Read more about rational roots at:
https://brainly.com/question/17754398
#SPJ1
two numbers are in the ratio 2:5. If 6 is subtracted from their sum, the result is 50. what is the larger number
Answer:
(2x+5x)-6=50
7x =56
x=8
5>2, so 5 is the bigger one
5*8=40
the answer is 40
Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?
Answer:
(a). 2399.23 meters.
(b). 1944.19 meters apart.
Step-by-step explanation:
We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.
(a) We are asked to find how far from the shore is the ship.
We know that tangent relates opposite side of a right triangle with its adjacent side.
Therefore, the ship is approximately 2399.23 meters away from the shore.
Therefore, the both ships are approximately 1944.19 meters apart.
Need help fast djs and she usdhsbsurbdidbidbdidbdidbdixbd
Answer:
∠BCD=95°
Step-by-step explanation:
∠B+∠D=127+43=170
360-170=190
∠A=∠C
∠A+∠C=190
∠C+∠C=190
∠C=190/2=95°
please do this asap, i am in a really quick need, just type the answer, process is not required, i got -27, and i am pretty sure about this being wrong
Answer:
The answer is 3
Step-by-step explanation:
Find the area. The figure is not drawn to scale.
a
1440 in.2
b
1188 in.2
c
138 in.2
d
69 in.2
Answer:
A
Step-by-step explanation:
40 x 36 = 1440 in.2
*yawn*...............
Answer:
yawwwwwwnnn......,....done
If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, in inches?
Pls help me its due in a hour :(
Answer:
50 inches
Step-by-step explanation:
30²+40² = c² (c²= diagnol)
900+ 1600 = √2500
√2500 = 50
This is also a pythagorean triple (30,40,50).
Please dont skip!! Answer please. Will give branliest. NO LINKS PLZ
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Area of upper right rectangle
3(6)18in²Area of top rectangle(square actually)
2(2)4in²Area of bottom rectangle
5(2)10in²Area of semicircle
πr²/2π(6+4/2)²/2π25/212.25π38.465in²Area of middle rectangle
2(10)20in²Total
18+4+10+38.465+2090.465in²If y varies directly as x and y = 64 when x = 16, what is the value of y when x = 12 ?
Answer: Y=48
Y is 4 times more than x. If x=12, y=48. Notice in the first part of the question, if you divide 64 by 4, you get 16. This means in order to get your answer, you must mulitiply x by 4 to get y. 12x4=48.
Brainliest please?
XxRoadToAcexX
What is the equation for a line that passes through the points (2,-2) and (-4,22)?
A.) Y= -4x + 6
B.) Y= 4x + 6
C.) Y= 4x - 6
D.) y= -4x - 6
Answer:
A.) Y= -4x + 6
Step-by-step explanation:
The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?
24
8
96
12
Answer:
24
Step-by-step explanation:
A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Complete Question
A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Answer:
Step-by-step explanation:
Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured in millions.
Answer:
[tex]B(4) > A(4)[/tex]
[tex]t = 6[/tex]
Step-by-step explanation:
Given
[tex]City\ A \to Purple[/tex]
[tex]City\ B \to Blue[/tex]
See attachment for both functions
Solving (a): Which is greater in A(4) and B(4).
From the readings of the graph
[tex]A(4)= 1.8[/tex]
[tex]B(4) = 2.6[/tex]
By comparison:
[tex]B(4) > A(4)[/tex] because [tex]2.6 > 1.8[/tex]
Solving (b): When is A(t) = B(t)
From the readings of the graph
[tex]A(t) = B(t)[/tex] when [tex]t = 6[/tex]
i.e.
[tex]A(t) = B(t) = 3\ million[/tex]
Bao owns a small business selling used books. She knows that in the last week 20
customers paid cash, 26 customers used a debit card, and 13 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card as a percent to the nearest whole number.
Answer:
44% cahnce
Step-by-step explanation:
To solve this, add up all the customers. Then, divide the amount of debit card customers, by the total amount of customers. This will give you percentage of people who paid in debit, which is also the probability:
20+26+13
=
59
This is the amount of customers. Now we divide:
26/59
=
0.4406
Remember that to create percentage, you must multiply the decimal by 100:
0.4406*100
=
44.06%
The .06 is so small that it doesnt need to be kept in this percentage:
44%
So this is you answer!
Hope it helps! :)
Answer:
Step-by-step explanation:
3+3=6
answer overall is 28
The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its new area be?
Answer:
4pi in^2
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π = pi
r = radius
h = height
Let me illustrate with an example
A cylinder has the following dimensions
r = radius = 20
h = height = 10
lateral area = 2 x π x 20 x 10 = 400π
If dimensions are reduced to one-fifth their original length, new dimensions are
r = radius = 20 x 1/5 = 4
h = height = 10 x 1/5 = 2
New lateral area = 2 x 4 x 2 x π = 16π
change in lateral area = 400π / 16π = 25
If dimensions are reduced by 1/5, lateral area would reduce by 25
100 pi / 25 = 4
which statement best compares the volumes of the two rectangular prisms
Answer:
The volume of prism A is the same as the volume of prism B.
Step-by-step explanation:
Given
See attachment for prisms
Required
Compare the volume of both
First, we calculate the volume of both prisms.
Prism A is a rectangular prism.
So, its volume is:
[tex]V_A = Length * Base * Height[/tex]
Where
[tex]Length \to a[/tex]
[tex]Base \to b[/tex]
[tex]Height \to h[/tex]
So:
[tex]V_A = abh[/tex]
For Prism B, we have:
[tex]Volume = Base\ Area * Height[/tex]
Where
[tex]Base\ Area = Length * Base[/tex]
and
[tex]Length = a[/tex]
[tex]Base = b[/tex]
So:
[tex]Base\ Area = a * b[/tex]
[tex]Base\ Area = a b[/tex]
The volume is then calculated as:
[tex]Volume = Base\ Area * Height[/tex]
[tex]V_B = ab * Height[/tex]
Where
[tex]Height \to h[/tex]
So:
[tex]V_B = ab * h[/tex]
[tex]V_B = abh[/tex]
By comparison:
[tex]V_A = V_B = abh[/tex]