Step-by-step explanation:
#3 let the two consecutive integers be a, a+1.
a+a+1=345
2a+1=345
2a=345-1
2a=344
a=344/2=172...
the integers are 172, 173
#5 let the consecutive even integers be a, a+2
a+a+2=446
2a=446-2
2a=444
a=444/2=222..so the even integers are 222, 224
A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research study. The average (i.e., mean) score for the group of 20 is an example of a(n)___________.
a) sample
b) statistic
c) population
d) parameter
Answer: b) statistic
Step-by-step explanation:
Population = A large groups of individuals sharing the same or similar characteristic by the point og study.Sample = It is a subset of population .Parameter = It is measure of characteristic in population.Statistic = It is measure of characteristic in sample.Since the average score was taken by the group of 20 which is nothing but the sample.
That means, the average score is an example of statistic.
Hence, the correct option is b) statistic .
The function f(x) = |x| is graphed over the interval [−6, 3].
Which translation of the graph has the domain [−3, 6]?
Answer: g(x)=lx-3l
Step-by-step explanation:
g(x) = |x − 3| is the translation of the graph has the domain [−3, 6]. Therefore, option D is the correct answer.
Given that, the function f(x) = |x| is graphed over the interval [−6, 3].
We need to find which translation of the graph has the domain [−3, 6].
What is a domain?The domain of a function is the set of all possible inputs for the function.
g(x) = |x − 3| graph has the domain [−3, 6].
Therefore, option D is the correct answer.
To learn more about the domain visit:
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In 2003 the population of an African country was about 15 million people which is 1 million more than four times the population in 1950 enter in so many equation to find the approximate population P ( in millions) in 1950
Answer:
3,500,000
Step-by-step explanation:
1. 15,000,000 - 1,000,000 = 14,000,000
2. 14,000,000 divided by 4 = 3,500,000
Hopefully this helps you:)
PLZ HELP!!!
which of the following functions is graphed below
(look at picture above)
Answer:
The answer is A.
Hank's pickup can travel 95 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 76 miles?
Answer:
miles/gallons: 80/5 = 48/g
Cross multiply
80g = 240
g = 3 gallons
Step-by-step explanation:
4 gallons will Hank's pickup need to travel 76 miles.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
Hank's pickup can travel 95 miles on 5 gallons of gas.
95 miles ⇒ 5 gallons of gas
76 miles ⇒ X
95X = 76 × 5
X = [tex]\frac{76(5)}{95}[/tex]
X = 4
4 gallons will Hank's pickup need to travel 76 miles.
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23,900
Write each number in scientific notation.
Answer:
2.39 x 10 to the power of 4
What is the formula of area
Answer:
Square: Area = S²
Rectangle: Area = lw (L x W)
Triangle: Area = bh/2
Circle: Area = 3.14(r)²
if f(x) = -3x+4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Answer:
x=1
Step-by-step explanation:
you have -3x+4 and your left with one whole number when you put -3 and 4 together
Order the set of numbers from least to greatest:
3. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• D is greater than E.
• B is greater than C.
• A is less than E.
• is greater than D.
• is less than E.
• A is less than F.
Points in order:
Simplify: -0.8b + 4.1c - (-3.2b) - 0.1c
Answer:
[tex] - 0.8b + 4.1c + 3.2b - 0.1c = 4c + 2.4b[/tex]
Combine the like terms to create an equivalent expression:
3
z
+
2
+
(
−
5
z
)
+
6
Answer:
-2z+8
Step-by-step explanation:
[tex]3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8[/tex]
Anne and Nancy use a metal alloy that is 21.8% copper to make jewelry. How many ounces of a 13% alloy must be mixed with a 29% alloy to form 140 ounces of the desired 21.8% alloy?
Answer: 63.13%
Step-by-step explanation:
given data:
copper = 21.8%
0.13%x + 29%(140-x) = 21.8%(140)
open the brackets
0.13x + 40.6 - 0.29x = 30.5
collect like terms
0.13x - 0.29x = 30.5 - 40.6
–0.16x = –10.1
divide both sides by – 0.16
–0.16x / – 0.16 = –10.1 / –0.16
x = 63.13%
estimake square root of 11. ?
Answer:
11 not have root
Step-by-step explanation:
beause it is the prime number MARKE AS BRILLIANT
Answer:
3.3164 correct to four decimal places
Step-by-step explanation:
WE USE BINOMIAL THEOREM.
√11=√(10+1)=(10 + 1)^½
FACTOR TEN OUT
=> 10^½(1 +1/10)^½
WE KNOW THAT:
(1 +X) ^n= 1 + nX + [n(n -1)(x)²]/2! + .........
NOW LET X =1/10 AND n= ½
SUBSTITUTING INTO THE FORMULA ABOVE
=>(1/10)^½ [1 + (½)(1/10) +[½(½ –1)(1/10)^½]/2×1 + ......]
=(1/10)^½[1 + 1/20–1/800 +......]
=> (1/10)^½(839/800)
≈3.3164
THEREFORE √11 ≈ 3.3164( ESTIMATED)
Is is greater than less or equal to 4.09_4.90
Its less than i think yeah
Solve
for x.
9x-7=-7 I need the steps please
Answer:
x=0
Step-by-step explanation:
9x-7=-7
Add 7 to each side
9x -7+7 = -7+7
9x = 0
Divide each side by 9
9x/9 = 0/9
x = 0
Answer: x = 0
Step-by-step explanation:
9x -7 = -7 First add 7 to both sides
+7 +7
9x = 0 Now divide both sides by 9
x = 0
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 = 1/4 (x - 12). What is the standard form of the equation for this line?
a) x-4y=8
b) x-4y=2
c) 4x-y=8
d) 4x-y=2
Answer:
i honestly dont know
Step-by-step explanation:
Two lines in the same plane that will not intersect are parallel. always sometimes never
Answer:
Always
Step-by-step explanation:
If two lines are coplanar and will not intersect, they are parallel.
Question 1 (Multiple Choice Worth 5 points)
Use absolute value to express the distance between -10 and 16 on the number line.
01-10 - 161 = -6
01-10 - 161 = 6
1-10 - 16= -26
• |-10 - 161 = 26
Answer:
Answer should be I 16-(-10) I = 26
But I guess it's the last choice you listed, I -10-16 I = 26
number 8 please! i kinda need help ASAP please! it’s due tomorrow
Answer: Answer is in the steps
Step-by-step explanation:
The perfect square that is less than 15 is 9 and greater 15 is 16 and the square root of 15 falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.
First row: 9 < 15 < 16
Second row [tex]\sqrt{9} < \sqrt{15} < \sqrt{16}[/tex]
Third row ; 3 < [tex]\sqrt{15}[/tex] < 4
Help please!!
Which edges are perpendicular to PR
Select each correct answer
TR
QT
RA
TJ
HP
Answer:
QT. . . . . . . . . . . . . . . I think
Help please Is this correct?, I don't know if I did this right.
Answer: Infinitely many solutions
Any real number works for x
==============================================
Work Shown:
[tex]6 - 2x - 1 = 4x+5 - 6x\\\\-2x+6 - 1 = 4x - 6x+5\\\\-2x+5 = -2x+5[/tex]
We get the same identical expression on both sides. So plugging any number in for x leads to getting the same number on both sides.
-----------
For instance, if x = 0,
[tex]-2x+5 = -2x+5\\\\-2(0)+5 = -2(0)+5\\\\5 = 5\\\\[/tex]
which is a true statement. The same happens when we plug x = 0 into the original equation
[tex]6 - 2x - 1 = 4x+5 - 6x\\\\6 - 2(0) - 1 = 4(0)+5 - 6(0)\\\\6 - 0 - 1 = 0+5 - 0\\\\5 = 5\\\\[/tex]
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar. hellllp
Answer:
$22 aud x 1usd/1.2 Aud
Answer:
13.32 US Dollars
Step-by-step explanation:
22 divided by 1.2 is 18.33333333
round that to 18.3 then work out the us dollars to the australian dollars and you get 13.32
I WILL MARK YOU BRAINLIEST. Xavier decorated his paper with stickers. He put 3 stickers on his paper. Each sticker is 1/8 inches wide and 2/5 inches long. What is the total area, in square inches, of all of the stickers Xavier used?
Answer:
3x1/8x2/5=3/20
Step-by-step explanation:
Simplify. (5x4 + 3)2 A. 25x8 + 30x4 + 9 B. 10x8 + 30x4 + 6 C. 25x16 + 30x4 + 9 D. 25x8 + 9
Answer:
The answer is option AStep-by-step explanation:
( 5x⁴ + 3)²
( 5x⁴ + 3)(5x⁴ + 3)
Expand using FOIL
That's
(5x⁴)(5x⁴) + 5x⁴(3) + 3(5x⁴) + 3(3)
We have
[tex]25 {x}^{8} + {15x}^{4} + {15x}^{4} + 9[/tex]Add and simplify like terms
We have the final answer as
[tex] {25x}^{8} + {30x}^{4} + 9[/tex]Hope this helps you
At Emily’s closet 1/3 of the cloths are white and 1/5 are black what. What fraction of Emilly’s clothes are black and white ?
8/15
Since 1/5 and 1/3 have different denominators, they cannot be added directly.Multiply the denominators (5×3=15)Multiply each with the other denominator 3×(1/5)=3/15, 5×(1/3)=5/15Now, 3/15 +5/15=8/15
Answer:
5/8
Step-by-step explanation:
What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? a. 20 b. 32 c. 44 d. 48
Answer:
c. 44
Step-by-step explanation:
½m - ¾n = 16
½m - (¾×8) = 16
½m - 6 = 16
½m = 16 + 6
½m = 22
m = 44
Answer:
c 44
Step-by-step explanation:
its on edge
help me w/ this asap
Answer:
(12,infinity)
Step-by-step explanation:
I eliminated A and C because you can't do open brackets without closing them. I eliminated the negative infinitys because it said that P was bigger than 12.
Slope intercept, show work I don't how to get it
Answer:
1) start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.
Step-by-step explanation:
those are steps and explanation but the theres an example i put in there to
WILL MARK BRAINLIEST
Given a||b and c is not parallel to a or b which statement must be true?
(Picture)
Answer:
m4=m8
Step-by-step explanation:
Answer:
I took the test g
Step-by-step explanation:
m 2=7 and m 4=8