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[tex] {k}^{2} + 8k + 22 = 6 [/tex]
Subtract sides 6
[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]
[tex] {k}^{2} + 8k + 16 = 0[/tex]
[tex] ({k + 4})^{2} = 0[/tex]
Thus ;
[tex]k + 4 = 0[/tex]
Subtract sides 4
[tex]k + 4 - 4 = - 4[/tex]
[tex]k = - 4[/tex]
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While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the age at which Bavaria develop the ability to walk can be described by normal distribution model, find the mean and standard deviation of the normal model
Answer:
Mean is 12.13 months
Standard deviation is 1.29
Step-by-step explanation:
We need to use z-score here
Let the mean of the distribution be a while the standard deviation be b
Mathematically;
z-score = (x-mean)/SD
We can obtain the probability from the z-score
Now, for the 10th month
The z-score for a probability of P = 0.05(5%)
Can be obtained from the standard normal distribution table and that is;
-1.645
Hence;
-1.645 = (10 - a)/b
-1.645 b = 10 - a
a = 10 + 1.645b ••••••(i)
For the 13 month, we have a proportion of 75%
The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table
Hence;
0.674 = (13-a)/b
0.674b = 13 - a
a = 13 - 0.674b. •••••(ii)
Now equate both a;
10 + 1.645b = 13 - 0.674b
13-10 = 1.645 b+ 0.674b
3 = 2.319b
b = 3/2.319
b = 1.294
So the mean a will be
10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13
So mean is 12.13
What is the solution to the system for. PLEASE HELP ASAP!
first choice, I'm positive
Need help fast! Algebra
Answer:
5)y=2x 6)y=12x 7)y=3x-2 8)y=1/4x+2
Step-by-step explanation:
Look at the y-intercept first if crosses the origin then don't need to write anything. If it does you add it after the slope.
To find slope you can count how many units up or down it does and how many left or right.
Then write i as rise/run.
Hope this helps
how do you know if an ordered pair output is a function?
Answer:
If there is more than one X value in the ordered pairs and they have different Y values, it is not a function. Otherwise, it is a functio
Answer:
You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5? (1 point)
The graph shifts 7 units left.
The graph shifts 5 units left.
The graph shifts 2 units up.
The graph shifts 3 units up.
Answer:
7 units leftjJakaKakoao
Answer:I thought it was 5 units up
Step-by-step explanation:
Someone help
Simplify (-6x4 - 5x3 + x2) + (4x2 + 6x4 - 4x3)
Answer:
-x2*(9x-5)
Step-by-step explanation:
If you need an explanation I will happily write it out for you
Answer:
-x2*(9x-5)
Step-by-step explanation:
i need help on math
alguma menina de 14 anos no tédio to querendo conhecer gente nova?
Answer:
Step-by-step explanation:
Oi eu tenho 15 anos
Answer:
OIE tudo bem?
eu tenho 15
The total cost to take the ferry to Greene Island is a $12 fee for the car plus $3 for each passenger in the car. The graph shows this relationship.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.
Answer:
B. The y-intercept will shift down
Step-by-step explanation:
You worked 5.5 hours one day and 3 hours another day. You had 8 dollars already and now that you have been paid, you have $84.50. How much were you paid an hour
Answer:
u were paid 9 dollars an hour
Step-by-step explanation:
Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary
PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((
Answer: -53 then -24 then 0 then 18
Step-by-step explanation:
Round 27.977 to the nearest hundredth.
Answer
Answer:
27.98
Step-by-step explanation:
the second seven 27.9(7)7 is the hundreth place, so sense 7 is above five we round up to and eight, then get rid of the number after it
ANSWER PLSS algebra 1 and explain why
Answer:
y=-2x-100
Step-by-step explanation:
this is the only answer choice with a negative (decreasing) slope. The temperature went down and the slope went down
Hope this helps!
HELP ANYBODY IMMA DROP OUTTT
Question * In pic :D *
Answer:
The answer to this is 27/8 :)
3 ⅜
is (3×8 + 3) / 8
= (24+3) / 8
= 27/8
3/2 times 1/4 times 5/3
Answer:
5/8
Step-by-step explanation:
Take it step by step if you have trouble.
DM me on discord at BLAƆK PIΩK#6762 for math tutor
$15/hour
[tex]\frac{3}{2} * \frac{1}{4} =\frac{3}{8}[/tex]
[tex]\frac{3}{8} *\frac{5}{3} =\frac{15}{24}[/tex]
A board 8 ft long is cut into three equals pieces. How long are the pieces?
Answer:
A
Step-by-step explanation:
y=2x+5
solve for y and x
Answer:
x = (2.5, 0) y = (0, 5)
Step-by-step explanation:
Mark has $146 in his savings account. He withdraws $41, deposits $98, and then withdraws $64. Find the balance of his account.
What's the answer?
Answer:
$139
Step-by-step explanation:
subtract 41 from 146
=105
add 98
=203
subtract 64
=139
If the place these marbles in a bag close your eyes and choose a marble what is the probability that it will be pink?
Answer:
3/14
Step-by-step explanation:
There are 14 marbles, 5 are yellow, 6 are blue, and 3 are pink. You have a 5/14 chance to get a yellow marble, a 6/14 chance to get a blue marble, and a 3/14 chance to get a pink marble.
I hope that this helps :)
Answer:
3/7
Step-by-step explanation:
the answer is
2a(b + c) = d , Solve for b
Answer:
b=d/2a -c
Step-by-step explanation:
b+c=d/2a (Divide 2a on both sides to elimnate the 2a on the left side)
b=d/2a -c (Subtract c on both sides to elimnate the c on the left side)
Answer: b=d/2a -c
Hope this helps!
What is 8455 divided by 89?
Answer:
95
Step-by-step explanation:
8455/89 is 95
Write the word sentence as an equation. Then solve.
10 more than a number c is 3.
Answer:
10 +c=3
C=3-10
C=-7
.....
Answer:
c = -7
first, make the equation.
10 more than a number c is 3
the variable is c, according to the sentence.
c
"10 more than a number c"
c + 10
"10 more than a number c is 3 "
c + 10 = 3
now that you have your equation, time to solve it.
it's important to know that if you do something to an equation, as long as you do it to both sides the equation is still true.
for example.
2 + 2 = 4
if you add 1 to both sides of the equation,
2 + 2 + 1 = 4 + 1
5 = 5
this is still true.
Solving the equation.c + 10 = 3
subtract 10 from both sides of the equation.
c + 10 - 10 = 3 - 10
c = 3 - 10
c = -7
Find 33,688 divided by 8.
(2x−6)+4(x−3) i need help as fast as possible explain and answer pls
Answer:
6x-18
Step-by-step explanation:
(2x-6) + 4(x-3)
(2x-6) + (4x-12)
2x - 6 + 4x - 12
6x-18
Answer:
6x-18 (simplified)
Step-by-step explanation:
What is the slope of the line represented by the following equation?
y= 1/3x + - 2/3
A) -1/3
B)-2/3
C)1/3
D)2/3
3x-(2x+4)
I need help
Answer:I think it is -18
Step-by-step explanation:sorry if I got it wrong
Beth's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 88 sodas in all, 66 of which were regular. What percentage of the sodas were regular?
Answer:
75 Percent
Step-by-step explanation:
66/88 = .75, which equates to 75 percent.
What is 7/8 minus 6 3/4
Answer:
(7/8) - (6 3/4) = -5.875
Solve the equation x/3– 9 = 11
Answer:
x=60
Step-by-step explanation:
(60/3)-9=11
20-9=11