Answer:
x+y=5...i
x²-y²=5...ii
from i, x+y=5
x=5-y...iii
substitute iii in ii
(5-y)²-y²=5
25-2y²=5
2y²=20
y²=10
y=✓10
put y=✓10 in i
x+✓10=5
x=5-√10
Robert has 7 pounds of ground beef. He is dividing the beef into burgers that are each 1/3 of a pound. How many burgers can he make
Olivia has 2 gallons and 3 quarts of vanilla ice cream and 1 gallon and 2 quarts of chocolate ice cream left over from a party What is the total number of gallons and quarts of ice cream that Olivia has left over?
Answer:
4 gallons 1 quart total ice cream
first you add the gallons and the quarts.
so, 2 gallons vanilla + 1 gallon chocolate is 3 gallons.
3 quarts vanilla + 2 quarts chocolate is 5 quarts.
4 of the 5 quarts are taken to make up another gallon.
so the answer is 4 gallons 1 quart total ice cream.
A flagpole is 4 meters tall. How many
centimeters tall is the flagpole?
Answer:
400 cm
Step-by-step explanation:
100 centimeters in a meter.
4 * 100 = 400
help me with this thank you
Answer: think it’s c 4/28
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find sequence 10 5/22, 9, 7 17/22, ___, 5 7/22
Answer:
6⁶/11
Step-by-step explanation:
adding -27/22 to the previous number will give you the next number in the sequence
10 5/22 + -27/22 = 9
9 + -27/22 = 7 17/22
7 17/22 + -27/22 = 6 6/11
6 6/11 + -27/22 = 5 7/22
Help on question 5 please :))
Answer:
the answer is I LIKE YOUR CUT G
Step-by-step explanation:
your a bot at fortnite
Answer:
b. Substitute 8x+4 for y in the first equation.
4 ft 5 ft 2 ft 6 ft 6 ft 11 ft
Answer:
34 feet
Step-by-step explanation:
Silas brought an ice chest to the picnic. A model of the ice chest is shown below . 15in Width, 30 inches length, and 15 inches height. What is the volume, in cubic inches of the ice chest?
Answer:
6,750 in.³
Step-by-step explanation:
The ice chest is a rectangular prism or a cuboid.
Volume of the ice chest = volume of rectangular prism = l*w*h
Where,
l = 30 in.
w = 15 in.
h = 15 in.
Volume = 30*15*15 = 6,750 in.³
a company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. suppose the probability distribution of the lifetimes of the participants in the plan is approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years. nine participants are randomly selected. what is the probability that the average age at death of these nine participants will exceed 68 years
Answer:
0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.
This means that [tex]\mu = 66.3, \sigma = 3.6[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2[/tex]
What is the probability that the average age at death of these nine participants will exceed 68 years?
This is 1 subtracted by the pvalue of Z when X = 68. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{68 - 66.3}{1.2}[/tex]
[tex]Z = 1.42[/tex]
[tex]Z = 1.42[/tex] has a pvalue of 0.9222
1 - 0.9222 = 0.0778
0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years
yo momma is 600 pounds she eats 300 more pounds of food and gets fatter how many more pounds does she need to get to weigh 3000 pounds
Answer:
2100
Step-by-step explanation:
L M A O
Point KK is located at (5,-4)(5,−4) on the coordinate plane. Point KK is reflected over the xx-axis to create point K'K
What ordered pair describes the location of K'?K
Answer:
The ordered pair that describes the location of K' is (5,4).
Step-by-step explanation:
Reflection over the x-axis:
When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So
(x,y) -> (x,-y)
In this question:
Point K(5,-4)
Reflection over the x-axis:
(5,-4) -> (5,-(-4)) -> (5,4)
The ordered pair that describes the location of K' is (5,4).
write
[tex] \frac{12}{25?} [/tex]
as a decimal and as a percent
Based on the scatterplot below what is the most likely value for pounds of apples phone number of Apples is 60
A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?
Answer:
32.
1st get the total age of the students
x/20 = 11
x=11x20
x =220 (total age of students)
add y ( teachers age) to the equation
(220 + y)/21=12
y= 32
Answer:
32
Step-by-step explanation:
20 * 11= 220
21 * 12= 252
252-220=32
Can you help me on question nine please?!
Answer:
24
Step-by-step explanation:
plug in 2
2^3+7(2)+2
2×2×2+14+2
8+14+2
24
Please help solve this angle problem! It is due today!
Answer:
The answer is B.
Step-by-step explanation:
Two angles that add up to 90° are called complementary angles.
Angles A and B are complimentary angles. Complimentary angles are angles which add up to exactly 90 degrees.
They are often confused with supplementary angles, but supplementaries add up to 180.
(fractions) 3/4 + 1/5
Answer:
19/20
Step-by-step explanation:
write all numerators above the least common denominator 20
15+4/20
add the numbers
19/20
Answer: 19/20
Step-by-step explanation:
Find your common denominator
3/4
Multiply by 5
15/20
1/5
Multiply by 4
4/20 + 15/20= 19/20
Hope this helped :)
what is 9^7 written in expanded form
Answer:
9*9*9*9*9*9*9
Step-by-step explanation:
it's basically 9 multiply by itself for 7 times
I need help with this question.
9514 1404 393
Answer:
1.13 feet
Step-by-step explanation:
We know that the sine relation is ...
Sin = Opposite/Hypotenuse
so the length (L) of the ramp surface will be ...
sin(angle) = 2/L
L = 2/sin(angle)
For 18°, the ramp length will be about ...
L = 2/sin(18°) ≈ 6.472 . . . . feet
For 22°, the ramp length will be about ...
L = 2/sin(22°) ≈ 5.339 . . . . feet
The difference in lengths is about ...
6.472 -5.339 = 1.133 ≈ 1.13 . . . . feet
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATHH
Answer:
990
Step-by-step explanation:
(21*18*2)+(21*3*2)+(18*3*2)
=990
Kimberly has $80. She wants to purchase a school bag for $16 and as many pairs of shoes as she can. Each pair of shoes is $8. Write an inequality for the number of school shoes she can purchase.
A. 16x + 8 ≤ 80
B. 80 + 16 ≤ 8x
C. 16x + 8x ≤ 80
D. 8x + 16 ≤ 80
Answer:
D
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!help me
Answer:
pretty sure its 75
2/5 x 30 pls help me
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12.
How to get 10 with the numbers 7, 11, 4 and 2 in that order?
Answer:
Huh!! What is this question supposed to mean?
if f(x) =2((x)), find f(-1/4)
Answer:
Combine
f and 1/4.
and u get - f/4
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
2(-1/4)
please helppp!!!!!! im giving all my points left
A teacher wants to compare how two classes have performed on a test they have taken. Should the teacher report the test mean or the test median? Which measure might describe the data set better? Why?
Your response should be 3-5 sentences long.
Answer: median
Step-by-step explanation: In this situation the mean is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation
can someone help me please
Answer:
i think its b
Step-by-step explanation:
Hi. I need help with math. 8th grade.
Answer:
260 is the answer. jjrjejjehene
7x2 + 4x - x2 whats the answer?!?
Answer:
14 + 2x I think
Step-by-step explanation:
Wait for more responses if needed
Answer:
[tex] {6x}^{2} + 4x[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]
2) Simplify.
[tex] {6x}^{2} + 4x[/tex]
Therefor, the answer is 6x² + 4x.
Help me out thanks !!!!!
Answer:
B) ∠SBY = 117°
Step-by-step explanation:
interior angles in a pentagon = (5x180) - 360 = 540°
each angle = 540/5 = 108°
interior angles in a octagon = (8x180) - 360 = 1080°
each angle = 1080/8 = 135°
∠SBY = 360 - 108 - 135 = 117°