Use synthetic division to find the result when x3 + 3x2 – 21x – 28 is divided by
- 4.
= ×150
Step-by-step explanation:
×3+3×2-21×-28÷4 use BODMAS,now we start with division bcoz there isno bracket or of.-28÷4= -7 then we go to multiplication ×3+3×2-21×-7 .......3×2=6×3+6-21×-7......-21×-7 =147........then we finally add×3+147=×150
2. Squares are the only regular quadrilaterals.
O
True
O
False
Answer:
true
Step-by-step explanation:
The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.
Answer:
Falsee, I believe.
Rhombuses are equilateral too...
Hope that helps!
-Sabrina
Step-by-step explanation:
) Beth wants to determine a 99 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out of n randomly selected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.01 for p
Answer:
n has to be at least 16577.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Out of n randomly selected students she finds that that exactly half attend their home basketball games.
This means that [tex]\pi = 0.5[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
About how large would n have to be to get a margin of error less than 0.01 for p
We have to find n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.01\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2[/tex]
[tex]n = 16576.6[/tex]
Rounding up
n has to be at least 16577.
In a cooler there are 5 orange juices, 2 apple juices and 6 grape juices. In a large bag there are 2 ham sandwiches and 7 turkey sandwiches.
If you choose a random juice from the cooler and a random sandwich from the bag, what is the probability you get orange juice and a ham sandwich? Round your answer to the nearest hundredth (2 decimal places).
Answer:
10/117 or 8.55% or 0.09
Step-by-step explanation:
5/13 x 2/9 = 10/117
The probability you get orange juice and a ham sandwich is,
⇒ 10/117
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that;
In a cooler there are 5 orange juices, 2 apple juices and 6 grape juices. In a large bag there are 2 ham sandwiches and 7 turkey sandwiches.
Hence, Total number of juice in a cooler = 5 + 2 + 6 = 13
And, Total number of sandwiches = 2 + 7 = 9
Thus, The probability you get orange juice and a ham sandwich is,
⇒ 5 / 13 × 2 / 9
⇒ 10/117
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ3
x 5. Solve.
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, then a blue marble from the bag? (to the nearest tenth)
Answer:
2/10*4/10=2/25 aka 0.08 aka rounded is 0.1
Step-by-step explanation:
hope this helps plz give brainliest
A random sample of 20 of the 200 students at Garland Elementary is asked how many siblings each has. The data are ordered as shown. Which statement below would be an appropriate inference of the data?
0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,6
Most students have more than 4 siblings.
Most students have 2 or fewer siblings.
Most students have 3 siblings.
Most students have either no siblings or 6 siblings.
Answer:
Most students have 2 or fewer siblings.
Step-by-step explanation:
Pls help me calculate the inverse of y equals 2x over x-7
To solve g*= 25x+7, you would need to re-write 8 as what base?
you
The radius of a circle is 1 mile what is the circles area?
Answer:
radius 1 mile, Area 3.14 mile^2
Step-by-step explanation:
Area of circle = πr^2
Area of circle = 3.14×1×1
Area of circle = 3.14mile^2
I need help in question 2 pls help i beg you
Answer:
I'm pretty sure itd be tropic fresh fruit punch, with it having more concentration compared too the other brand.
Find the original price of a pair of gloves that is on sale for $28, a 30% discount from the original price.
Answer:
$8.40
Step-by-step explanation:
Answer:36.4
Step-by-step explanation:
For what value(s) of x are the following undefined. ((5x^2)+x+1)/(x+2)^2
Answer:
when x=-2
Step-by-step explanation:
((-2)+2)^2=0
dividing by 0 makes the equation undefined
There are 12 students in an art class. They have 5 packs of crayons to share equally. How much of a pack of crayons will each student get?
Answer:
41%
Step-by-step explanation:
5 packs of crayons split among 12 people means we divide 5 by 12.
[tex]\frac{5}{12} = .4166666667[/tex]
we can round that decimal number to .41 which can be turned into a percentage by moving the decimals place.
.41 = 41%
Subtract the fractions. Write each difference in simplest form.
11/12 - 7/12 =
Answer:
1/3
Step-by-step explanation:
11 - 7 = 4
4/12 -> 1/3
PLEASE HELP!!! IT WOULD MEAN A LOT!
Answer:
The answer is 207 ft^2
Step-by-step explanation:
Answer:
207
Step-by-step explanation:
Hey There!
So the first step is to solve for the figure with a length of 9 and a width of 15
15x9=135
The other figure has a length of 12 and a width of 6
6x12=72
No we just add them
135+72=207
therefore 207 is your answer
CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY
1. 4 x 31 is 124
2. 7 x 49 is 658
3. 16 x 48 is 608
4. 8(5 + w) is 8w + 40
5. 11(9 + d) is 11d + 99
6. 15(p + 4 + 2) is 15p + 90
7. Let's simplify step-by-step.
2x−4+3x
=2x+−4+3x
Combine Like Terms:
=2x+−4+3x
=(2x+3x)+(−4)
=5x+−4.
8. Let's simplify step-by-step.
4y−1−3y−2
=4y+−1+−3y+−2
Combine Like Terms:
=4y+−1+−3y+−2
=(4y+−3y)+(−1+−2)
=y+−3.
9. Let's simplify step-by-step.
x+2(x−4)
Distribute:
=x+(2)(x)+(2)(−4)
=x+2x+−8
Combine Like Terms:
=x+2x+−8
=(x+2x)+(−8)
=3x+−8.
10. Part A)
The jazz band sells 31 large boxes of fruit and 74 small boxes of fruit.
For each large fruit box, the price is $20 and cost is $x.
Profit is defined as Price - Cost.
So, profit for one large fruit box = 20 - x
Profit for 31 large fruit boxes = 31(20 - x)
Price of each small fruit box is $10 and cost of each small fruit box is $y. The profit for each small fruit box is 10 - y.
Profit for 74 small fruit boxes = 74(10 - y)
The total profit for 31 large boxes and 74 small boxes will be:
Total profit = 31 (20 - x ) + 74(10 - y)
Using distributive property, we can simplify the above equation as:
Total profit = 31(20) - 31x +74(10) - 74y
Total profit = 1360 - 31x - 74y
Part B)
Cost of each large box is given to be $9. This means x = 9
Cost of each small box is given to be $4. This means y = 4
Using the values of x and y in the profit equation we can find the profit of the Jazz Band.
So, Jazz Band's Profit = 1360 - 31(9) - 74(4)
Jazz Band's Profit = $ 785
Thus the profit of Jazz Band will be $785.
Have A good day!! Hope I helped!!! ^-^
Which equation has the solution y = 8
Can someone help me with this ?
Answer:
x = 25
Step-by-step explanation:
Looking at the triangle we know that it is a right triangleor a 90⁰ triangle.
(2x + 15)⁰ + x⁰ = 90⁰
2x + 15⁰ + x⁰ = 90⁰
2x + x + 15⁰ = 90⁰
3x + 15⁰ = 90⁰
3x + 15⁰ - 15⁰ = 90⁰ - 15⁰
3x = 75⁰
3x / 3 = 75⁰ / 3
x = 25⁰
Now plug the x value in the missing angles.
2x + 15⁰
2(25⁰) + 15⁰
50⁰ + 15⁰
65⁰
According to the sum of triangle, all angles add up to 180⁰. Even though this is a right triangle, it should add up 180⁰ in order to be a triangle.
65⁰ + 25⁰ + 90⁰ = 180⁰
Hope this helps and stay safe, happy, and healthy, thank you :) !!
HELP PLEASE DUE IN 3 MINUTES
Answer:
This is the answer
20 POINTS a ball rebounds 1/2 of the height from which it is dropped. Assume the ball is dropped 128 feet from the top of a school and keeps bouncing. How far will the ball have traveled up and down when it strikes the ground for the fifth time?
I need help please. The question is A rectangle is shown below.What is the area of the rectangle in square feet.
Answer:
84 ft^2
Step-by-step explanation:
To find the area of this rectangle we multiply width and length
8 × 10.5 = 84 ft^2
I need help
1. To correctly find 10% of a total you could do each of the following except
1
(1) divide by 10
What proportion can be used to find 65% of 90?
O
А.
65
90
=
100
O
B
65
90
100
С
65
100
C
90
n90
100
Answer:
4
Step-by-step explanation:
the data is shown below
8, 11, 14, 14, 13, 15, 9
What is the median?
Answer:
13
Step-by-step explanation:
arrange the numbers in order
8, 9, 11, 13, 14, 14, 15
find the number physically in the middle
Answer:
The median is 13.
Step-by-step explanation:
The way you can find median is by putting the numbers in order from smallest to greatest, then finding the middle point. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list. Using this explanation, you can put your numbers in order.
8, 9, 11, 13, 14, 14, 15
As you can see, 13 is the middle number in the list.
What is the value of x?
Answer:
180 - 125
55
Hope this helps
Find the area of the following figure:
Answer:
12m
Step-by-step explanation:
You can break this shape down into a square and a trapezoid. Frist you can find the area of the square by multiplying 2 by 5 to get 10. Then you would find the area of a trapezoid by doing Area = 1/2height(base1+base2). We can find the height by subtracting 5 from 9. (We do this because we know the side of the square is 5m) Therefore the height would be 4m. We know the bases are 2 and 4. From there you can plug those numbers in to the formula. Area=1/2 * 4 (2 + 4)
Area= 1/2 * 4 (6)
Area = 2(6)
Area = 12m
An found four 1-dollar bills and 3 dimes under his bed. How much money did he fin!
0 A $0.43
B. $4.30
Ć $1.34
Vous
> $4.03
Answer:
B. $4.30
Step-by-step explanation:
4 1 dollar bills added up makes $4, and 3 dimes, which have a price of 10¢ added up 10+10+10 make 30¢
help asap find the area of this trapazoid
Step-by-step explanation:
here you have the answers
Answer:
[tex]A=12[/tex]
Step-by-step explanation:
The formula to find the area of a trapezoid is,
[tex]A=(\frac{b_1+b_2}{2})(h)[/tex]
Where ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the two bases of the trapezoid, and ([tex]h[/tex]) represents the hieght of the figure. As one can see on the coordinate plane,
[tex]b_1=2\\\\b_2=4\\\\h=4[/tex]
Substitute in the given values, and solve,
[tex]A = (\frac{b_1+b_2}{2})(h)\\\\A = (\frac{2+4}{2})(4)\\\\A = (\frac{6}{2})(4)\\\\A = (3)(4)\\\\A = 12[/tex]
If x equals 2.5 what will be the value of y?
Answer:The value of "y" is unknown because there is no equation
Step-by-step explanation:
-1/4{-8x+12y} Expand The Expression
Answer:
2x-3y
Step-by-step explanation: