Step-by-step explanation:
(Hope this explanation can ease your mind a little if possible! Alright let's go! :D)
Let n be the middle of the 3 consecutive even integers. Therefore, (n - 2) and (n + 2) are the smallest and largest of the 3 numbers respectively.
We know that (n - 2) + n + (n + 2) = 78,
so 3n = 78, and n = 78/3 = 26.
Since the middle number is 26, the smallest number is 26 - 2 = 24 and the largest number is 26 + 2 = 28.
Feel free to comment below if you have any queries!
How do you solve this ?
Answer:
-2
Step-by-step explanation:
Step 1. Copy the given expression.
(a + y)^2 + 2y =
Step 2. Replace each variable by the value given.
We are given a = 5; y = -3.
= (5 + (-3))^2 + 2(-3)
Evaluate the expression using the correct order of operations.
= (2)^2 - 6
= 4 - 6
= -2
a researcher is studying a group of field mice. the distribution of the weight of field mice is approximately normal with mean 25 grams and standard deviation 4 grams. which of the following is closest to the proportion of field mice with a weight greater than 33 grams?
a)0.046
b)0.977
c)0.954
d)0.023
Using the normal distribution, it is found that the proportion is closest to 0.023, given by option d.
---------------------------------
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
---------------------------------
Mean of 25 means that [tex]\mu = 25[/tex]Standard deviation of 4 means that [tex]\sigma = 4[/tex].The proportion above 33 is 1 subtracted by the p-value of Z when X = 33, thus:[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 25}{4}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.977.
1 - 0.977 = 0.023
Thus the proportion is 0.023, given by option d.
A similar problem is given at https://brainly.com/question/15181104
What is meant by “adversarial tactics”?
can someone help me with factoring by grouping
please show step by step
problem: x^2+3x-10
Factor : x^2+3x-10
Answer = (x - 2)(x + 5)
Explanation:
Y = x^2 + 3x - 10.
Find 2 numbers knowing sum (3) and product (-10).
Factor pairs of (-10) -> (-1, 10)(-2, 5). This sum is 3 = b. The 2 numbers are: -2 and 5.
y = (x - 2)(x + 5).
is 121,196,24 and 12 rational numbers or irrational numbers
Answer:
Its a rational number
What is 5c - 6 = 4 -3c, im blanking on what im supposed to do
Step-by-step explanation:
im pretty sure ur supposed to find so the answer woild be c=0.8
Hey there!
[tex]Answer:\boxed{c=\frac{5}{4}}[/tex]
[tex]Explanation:[/tex]
[tex]5c-6=4-3c[/tex]
[tex]5c+-6=4+-3c\\5c-6=-3c+4[/tex] Simplify both sides of equation.
[tex]5c-6+3c=-3c+4+3c\\8c-6=4[/tex] Add 3c to both sides.
[tex]8c-6+6=4+6\\8c=10[/tex] Add 6 to both sides.
[tex]\frac{8c}{8}=\frac{10}{8}[/tex] Divide both sides by 8.
[tex]c=\frac{5}{4}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
What is the midpoint of (-9,5) and (21,-7)
Answer:
(6,13)
Step-by-step explanation:
use midpoint formula
(-9 + 21) ÷2 , (5+21) ÷2
12 ÷2 , 26 ÷ 2
6, 13
so the midpoint is at coordinates (6,13)
Answer:
(6,-1)
Step-by-step explanation:
The midpoint formula (x+x)/2 , (y+y)/2
-9+21/2 , 5+(-7)/2
which will equal 6,-1
What is the sum of 4 + (-6)?
Answer:
-2
Step-by-step explanation:
x+ 2 / X + 3 =5 plz give me and
Answer:
The answer is x = -13/4
Step-by-step explanation:
-13/4 + 2 / -13/4 +3 = 5
The perimeter of triangle STU is 28.8 centimeters. Which is the perimeter of triangle JKL?
Answer:
You forgot to add a picture and/or more context.
Step-by-step explanation:
Answer:
j
Step-by-step explanation:
M is the midpoint of AC what is AC x+20 5x-4
PLS I NEED HELP Choose all of the expressions with a product of at least 50.
A. 10.7 times 5
B. 8.4 times 6
C. 7.33 times 6
D. 7.5 times 7.5
E. 2.1 times 24
Answer:
Its B
Step-by-step explanation:
Im really good with answers trust me
The expressions with a product of at least 50 is 8.4 times 6 and 2.1 times 24 .
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
A product of a number's prime factors is the prime numbers that need to be multiplied together to make that number.
We have to choose the expressions with a product of at least 50.
According to given question we have
10.7 times 5=10.7*5=53.5
8.4 times 6 =50.4
7.33 times 6 =43.98
7.5 times 7.5 =56.25
2.1 times 24 =50.4
Therefore, the expressions with a product of at least 50 is 8.4 times 6 and 2.1 times 24 .
Learn more details about expression here:
https://brainly.com/question/14083225
#SPJ2
The graph shows the reciprocal parent function.
5
41
5
-5
Which statement best describes the function?
A. The function is positive when x<0.
B. The function is always positive.
C. The function is positive when x < 0 and when x > 0.
D. The function is positive when x > 0.
Answer:
The correct option is;
D. The function is positive when x > 0
Step-by-step explanation:
The reciprocal parent function is of the form;
[tex]y = \dfrac{a}{x - h} + k[/tex]
Where;
h = The horizontal translation
k = The vertical translation
a = The orientation of the graph
Therefore, whereby we have, h = 0, k = 0. and a = 1, the equation becomes;
[tex]y = \dfrac{1}{x - 0} + 0 = \dfrac{1}{x}[/tex]
Therefore, the value of the function y is positive when x > 0 and is negative when x < 0.
Please help this is important
-1.5x+12=2.5x-12
Answer:
x = 6
Step-by-step explanation:
move all terms to the left:
-1.5x+12-(2.5x-12)=0
get rid of parentheses
-1.5x-2.5x+12+12=0
add all the numbers together, and all the variable.
-4x+24=0
move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4 - divide
x=+6
Estimate √62 to the tenth's place
Answer:
Step 1: Calculate. We calculate the square root of 62 to be: √62 = 7.87400787401181.
Step 2: Reduce. 7.87.
Step 3: Round. Round 7.87 so you only have one digit after the decimal point to get the answer: 7.9.
Step-by-step explanation:
I hope this help
Step-by-step explanation:
Square Root of 62 to the nearest tenth, means to calculate the square root of 62 where the answer should only have one number after the decimal point.
Here are step-by-step instructions for how to get the square root of 62 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 62 to be:
√62 = 7.87400787401181
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
7.87
Step 3: Round
Round 7.87 so you only have one digit after the decimal point to get the answer:
7.9
To check that the answer is correct, use your calculator to confirm that 7.92 is about 62.
5. Of the following data sets, which has the greatest range?
A. {3, 4, 5, 6, 7, 8, 9, 10, 11, 12
B. {4, 13, 4, 12,5)
C. {1, 5, 3, 11, 6)
D. {1, 10)
E. {100, 100)
Answer:
Its E
Step-by-step explanation:
Just add the set of number stogether and pick the highest number.
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n = −m − a n=a+m n=m−a n = a − m
Answer:
[tex]n = m - a[/tex]
Step-by-step explanation:
Given
[tex]a = m - n[/tex]
Required
Solve for n
[tex]a = m - n[/tex]
Add n to both sides
[tex]a + n = m - n + n[/tex]
[tex]a + n = m[/tex]
Subtract a from both sides
[tex]a - a + n = m - a[/tex]
[tex]n = m - a[/tex]
Hence, option C answers the question
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
y = –10
y = –2
y = 2
y = 6
6y –2(y + 1) = 3(y – 2) + 6?
The answer is y = 2 (the third option.)
Answer:
y = 2
Step-by-step explanation:
[tex]6y-2(y+1)=3(y-2)+6\\\\6y-2y-2=3y-6+6\\\\4y-2=3y\\\\4y-2=3y\\\\4y-2+2=3y+2\\\\4y=3y+2\\\\4y-3y=3y-3y+2\\\\\boxed{y=2}[/tex]
Hope this helps.
p(x)=-4x-2
Find p(a-3)
3x+10 = 0 will has:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
Karim builds a wooden table. 3 Superscript 4 in. A rectangle with a width of question mark inches. The rectangular top of his table has an area of 3 Superscript 7 square inches and a length of 3 Superscript 4 inches. What is the width of the table top?
Answer:
3^3 in = 27 in
Step-by-step explanation:
The area is given by the formula ...
A = LW
Filling in the given values, we can find the unknown.
3^7 in^2 = (3^4 in)×W
(3^7 in^2)/(3^4 in) = W = 3^3 in . . . . . . . divide by the coefficient of W
The width of the tabletop is 3^3 = 27 inches.
___
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
Answer:
Step-by-step explanation:
just took the test answer is B
What is the value of (52 – 10) ÷ 5 × 23?
Answer: 193.2
Step-by-step explanation:
Answer:
193.2
Step-by-step explanation:
52 - 10 = 42
42 divided by 5 equal 8.4
8.4 times 23 equals 193.2
hopefully this helps you :)
pls mark me brainlest pls ;)
pls help best answer gets brainest
Answer:
0.6
Step-by-step explanation:
Positive is right and Negative is left. Move from 0 right to 1.4 and then move left 0.8 units to end up at 0.6
XD XD XD I need help
Answer:
27 cubic units
Step-by-step explanation:
Volume = length*width*height, or lwh. Since the lwh of this cube is 3*3*3, multiply to get 27.
Answer:
27
Step-by-step explanation:
i multiplied.
nilai dari x memenuhi pertidaksamaan [x-1]<2
Answer:
uh
Step-by-step explanation:
if f(x) = -x^2+4x-9 and g(x) = x - 8 find g(f(-1)).
Answer: g(f(-1))=-22
Step-by-step explanation:
To find g(f(-1)), you want to first want to solve f(-1). Once you solved that, you plig the answer you get into g(x). Then, you will have your final answer.
f(-1)=-(-1)²+4(-1)-9 [exponent]
f(-1)=-1+4(-1)-9 [multiply]
f(-1)=-1-4-9 [subtract from left to right]
f(-1)=-14
We have found that f(-1)=-14. Now, we know in -14 into g(x) and solve.
g(-14)=(-14)-8 [subtract]
g(-14)=-22
Now, we know that g(f(-1))=-22.
F A taxicab company charges $2.80 plus $0.40 per mile. Carmen paid a fare of $8.80. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.
Answer:
15 miles
Step-by-step explanation:
8.80-2.80=6
6/0.40=15 miles
m = miles traveled.
$2.80 + $0.40m = $8.80
Subtract $2.80 from both sides.
$0.40m = $6.00
Divide both sides by $0.40
m = 15
Carmen traveled a total of 15 miles.
Find f(−3) for f(x) = −2x + 5
Answer:
Step-by-step explanation:
f(-3) = -2(-3) + 5 = 6 + 5 =11
Two sisters, Lily and Suri, have been saving money for college for the past several years. At the end of the first year, each sibling had $20. At the end of every year after
that, Lily managed to triple the total amount from the previous year, while Suri increased the total amount from the previous year by $80.
If the trend continues, how many years will it take Lily to have more money saved than Suri?
Answer:
1st year:
Lily:20
Suri:20
2nd year
L:20*3=60
S:20+80=100
3rd year
L:60*3=180
S:100+80=180
4th year
L 180*3=540
S 180+80=260
It will take Lily 4 years to hve more money saved than Suri
Step-by-step explanation:
I can't figure this out can someone help me please?
Answer:
Any value of m, except when m = -12.7, will make the expression equal to 6.35
Step-by-step explanation:
The equation you are given is:
6.35 = 12.7 + m / m + 12.7
First you need to know the rule that anything divided by itself will equal 1.
So no matter what number you use to substitute for m it will equal one because both the top and bottom of the division sign are the same. Except if you use negative 12.7 or a to high of a negative which will cause it to equal -1 which multiplied by 6.35 would equal -6.35
