which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. (-40) + (-30) + 28
B. -3/5 + (-2/5) - 4
C. 40 + (-58) + 160
D/ 130 + 70 + (-37)
Step-by-step explanation:
OPTION A
(-40) + (-30) + 28
Please help! NO LINKS (Answer and explanation please :( )
Answer:
sum of angles in a quadrilateral is 360
Step-by-step explanation:
3x-15 +3x+15+y+30+D=360
hope that explanation helps
Directions: Type your answer in the box below without using the ($) symbol.
Wesley had $792.38 in his checking account. He made the following transactions:
• He bought groceries at Food Lion using his debit card for $58.62.
• He received $50.00 for his birthday and deposited the money into his checking account.
• He made a withdrawal at the ATM from his checking account in the amount of $120.00. • He purchased a pair of shoes from the mall using his debit card in the amount of $64.98.
What was the final balance in his checking account after these transactions?
Answer:
Wesley's final balance in his checking account after these transactions is $598.78.
Step-by-step explanation:
792.38 - 58.62 + 50 - 120 - 64.98 = 598.78
How do I solve for d(real answers only please)
9514 1404 393
Answer:
multiply by (d/cos(36°))
Step-by-step explanation:
As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).
cos(36°) = 16/d
d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635
d ≈ 19.78
__
Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.
[tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]
__
The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.
_____
Comment on numerical precision
We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.
(Photo is part one)Malik also adds the following ingredients. How many cups of each
did he add? Show each step of your solution.
• 28 tablespoons of sugar
• 6 tablespoons of cocoa powder
Answer:
Step-by-step explanation:
what are we looking for?/
The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. What is the score that is 25 standard deviations below the mean?
Answer: The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the zscore of a measure X is given by:
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.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17.
The z-score for an ACT score of 26 is 0.17.
What is z-score?
When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.
In a set with mean and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ
How do you find z-score?
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.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
We need to find z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17
Learn more about z-score,
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find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).
Answer:
97.27 yd²
Step-by-step explanation:
First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.
6x5=30
30/2=15
Area of triangle=15 yd²
Find area of the middle rectangle. So multiply the length by the width.
9x6=54
Area of rectangle=54 yd²
Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.
[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27
Area of circle is about 28.27 yd²
Add up the three areas.
15+54+28.27=97.27
Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle
Answer:
Step-by-step explanation:
a, b, c
a + b > c ; b + c > a ; a + c > b
5 + 4 < 10 ⇒ triangle not possible
Answer:
Triangle not possible.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.
5 + 4 = 9
9 cm is not longer than 10 cm.
10 > 9
Therefore, the triangle is not possible..
The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?
Answer:
yo
Step-by-step explanation:
jy
Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)
A shirt is on sale for 20% off its original price. If the shirt cost $40, how much will the shirt cost after the discount?
$8
$20
you roll one die and a spinner as shown below. what is the probability you roll and spin a 4?
Answer:
1/4
Step-by-step explanation:
Please help!!! Evaluate sin(x)
A. 2.125
B. 0.4706
C.0.8824
D.0.5333
Answer:
sin x = 0.4706
Step-by-step explanation:
Given that,
Height, h = 8
Base, b = 15
Let H be the hypotenuse of the triangle. Using Pythagoras theorem,
[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]
We know that,
[tex]\sin\theta=\dfrac{h}{H}[/tex]
So,
[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]
So, the correct option is (b).
Solve the simultaneous equations
4x+3y=11
2x-y=-2
Answer:
[tex]x = \frac{1}{2} [/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
Multiply the bottom equation by -2.
[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]
Add the new equation to top equation.
[tex]5y = 15[/tex]
[tex]y = 3[/tex]
Know plug 3 in one of the equations to find x.
[tex]4x + 3(3) = 11[/tex]
[tex]4x = 2[/tex]
[tex]x = \frac{1}{2} [/tex]
Answer:
( [tex]\frac{1}{2}[/tex], 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 11 → (1)
2x - y = - 2 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
6x - 3y = - 6 → (3)
Add (1) and (3) term by term to eliminate y
10x + 0 = 5
10x = 5 ( divide both sides by 10 )
x = [tex]\frac{1}{2}[/tex]
Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y
Substituting into (1)
4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11
2 + 3y = 11 ( subtract 2 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is ( [tex]\frac{1}{2}[/tex], 3 )
Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m
PLS HELP FOR 78 POINTS AND PLS NO POINTLESS LINKS
Answer:
1. 12.9
2. 14
Step-by-step explanation:
11, 18, 7, 14, 5, 16, 14. 18
Added Together it is 103.
Divided by 8, it is around 12.9
5, 7, 11, 14, 14, 16, 18, 18
Answer:
12.9 and 14Step-by-step explanation:
Given data:
11, 18, 7, 14, 5, 16, 14, 18Mean is the average:
(11 + 18 + 7 + 14 + 5 + 16 + 14 + 18)/ 8 = 12.875 ≈ 12.9Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:
5, 7, 11, 14, 14, 16, 18, 18Median is 14 as both middle numbers are sameA basketball league assigns 8 players to each team. How many players can sign up for the league if there are 24 teams?
Answer:
192
Step-by-step explanation:
If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.
8 x 24 = 192 players can sign up for the league.
(hope this helps can i plz have brainlist :D hehe)
Answer:
192 players
Step-by-step explanation:
8x24=192
8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.
Ray feeds his dog 0.12 kilogram of dry dog food each day. How many kilograms of dry dog food does Ray need to feed his dog for the month of March? (March has 31 days.)
Answer:
amount of food feed each day is 0.12 kg
amount of food required to feed in March( 31 days) is 0.12*31
the answer is 3.72kg
HELP ME PLZ
Which of the following situations could be solved by using the inequality 1 point shown below? * 9 + 1.25x > 14 +0.75x F. Park A charges an entrance fee of $9 plus $1.25 per ride. Park B charges $14 per ride and an entrance fee of $0.75. After how many rides will the total charge at Park A cost more than Park B? G. Danny finishes 1.25 homework problems every 9 minutes. Katie finishes 0.75 homework problems every 14 minutes. After how many minutes will Danny have completed more of his homework than Katie? H. Jake has $9 and spends $1.25 each day. Finn has $14 and spends $0.75 each day. After how many days will Jake have more money than Finn? J. Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia?
Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia
Step-by-step explanation:
Which Angle measurements create a Triangle?
A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80
Your body mass index (BMI) is your weight in kilograms divided by the square of your height in meters. Many online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of overweight or obesity. A study by the National Center for Health Statistics found that the BMI of American young men (ages 20 to 29) is approximately normal with mean 26.8 and standard deviation 5.2. People with BMI less than 18.5 are often classed as "underweight." What percent of young women are underweight by this criterion? Sketch and shade the area of interest under a Normal curve.
Answer:
5.5227%
Step-by-step explanation:
Z score formula = (x-μ)/σ
where x is the raw score = < 18.5
μ is the population mean = 26.8
σ is the population standard deviation = 5.2
For x < 18.5
z = 18.5 - 26.8/5.2
z = -1.59615
Probability value from Z-Table:
P(x<18.5) = 0.055227
Converting to percentage
= 0.055227 × 100
= 5.5227%
Therefore, the percentage of young women that are underweight by this criterion is 5.5227%
Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i
Answer:
blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]
The empty boxes which make the equation true are (22 -3i) - (15 + 9i)
= 7 - 12i.
What are complex numbers?As the name suggests it is a combination of real numbers and imaginary numbers.
A complex number (a + ib) where a is the real part and b is the imaginary part.
'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.
Given, (_ -3i) - (15+_i) = 7 - 12i.
Assuming the real number to be 'a' and the imaginary number to be 'b'.
∴ (a - 3i) - (15 + bi) = 7 - 12i.
a - 3i - 15 - bi = 7 - 12i.
On comparing the real and imaginary parts we get,
a - 15 = 7.
a = 22,
- 3i - bi = - 12i.
- bi = - 9i.
b = 9.
learn more about complex numbers here :
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In the figure below, what is the value of xº?
A. 430
B. 620
C. 180°
D. 75°
Answer:
b is the answer
Step-by-step explanation:
a triangle equals up to 180 degrees and 75+43+62 equals 180
Professor Adeyemi is examining well-being after retirement in a city, and it is important to have excellent external validity. Professor Adeyemi selects two random numbers, 4 and 6, and gets a list of all of the retired people in the city. If Professor Adeyemi obtains the sample by starting with the 4th person on the list and selecting every 6th person, which of the following sampling techniques is most likely being used?
a. systematic sampling
b. stratified random sampling
c. quota sampling
d. cluster sampling
Answer:
A: systematic sampling
Step-by-step explanation:
The correct answer is systematic Sampling.
This is because, Systematic sampling is a method of sampling whereby the researchers choose members of a population at regular intervals e.g., when we select every 10th person on a particular list in the population.
And in this question, the professor starts with the 4th person on the list and selecting every 6th person. Thus, the answer is systematic Sampling.
Anyone know how to do the chart
Answer:
Step-by-step explanation:
divide 12 or 15
HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts
Answer:
D
Step-by-step explanation:
-3/8 converted to a decimal is -0.375
The absolute value of -0.5 is 0.5
hence, 0.5 is larger than -0.375
so the answer is d
hope this helps and is right :)
Answer:
Please look at the image.
Step-by-step explanation:
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3 p.m
Step-Hope this helps!!
Answer:
pretty sure 3pm
Step-by-step explanation:
You just subtract 9-6
So its 3pm :)
Plss help this is timed!!
Answer:
8/35
Step-by-step explanation:
Answer:
8 7/20
Step-by-step explanation:
I'm not quite sure but I hope it will help you if I'm wrong tell me I'll try it again good day don't forget to tell me if I'm wrong.
If x=2 and y=5 Evaluate this expression: 6x +5 y
Answer:
12 + 25 = 37
Step-by-step explanation:
If we have the value for each of the variables, we can plug them in, and be done with it.
when we plug them in, we get
6(2) + 5(5)
12 + 25
37
Please help!
The kitten, weighing 3 pounds, is adopted. Which of the following statements is true about the distribution of the weight of the remaining cats? Select THREE that apply.
A. The mean of the weight distribution will increase
B. The standard deviation of the weight distribution will decrease
C. The median of the weight distribution will increase
D. The range of the weight distribution will decrease
Answer:
D
Step-by-step explanation:
I think so :)
Now this helps if correct!