Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{2}[/tex] and (a, b) = (4, 7) , thus
y - 7 = [tex]\frac{1}{2}[/tex](x - 4) → B
Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,700 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?
A.) 1,400-2,000
B.) 0-3,500
C.) 1,600-1,800
D.) 1,500-1,900
Your answer is:
A) 1,400 - 2,000
keep believing and dont give up.
if nobody loves you, i do
Option A is right.
Given that:
Mean = 1700
Standard deviation = 100
So, the range for 3 standard deviations to the right and to the left of the mean is:
[tex]\left(1700-3\left(100\right)\ ,\ 1700\ +\ 3\left(100\right)\right)\\=\left(1700-300,\ 1700\ +\ 300\right)\\=\left(1400,\ 2000\right)[/tex]
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Which set of numbers are integers but not whole numbers or natural numbers?
PLEASE HURRYYYYY!!!!!
Integers, whole numbers and natural numbers are numbers without decimal points.
The set of number that are integer but not whole or natural number is:
[tex]\{-2, -3, -4\}[/tex]
As stated above that three set of numbers do not contain decimal point;
However, the difference between them is that; a negative number without a decimal point is referred to as an integer
From the given set: only [tex]\{-2, -3, -4\}[/tex] fit into the description of an integer, because
It does not have a decimal pointAnd it is negativeRead more about set of numbers at:
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Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line
Answer:
y = 4x - 3
Step-by-step explanation:
When x = 0, y = -3
When y = 0, x = 3/4
Solve: x/5 =10 can you help me solve that
Answer:
d
Step-by-step explanation:
10*5=50
could u vote me brainliest plz? thx :)
Answer:
50
Step-by-step explanation:
x/5 time 5 = 10 times 5
x = 50
LCM of 56f³g² and 70fg³.
A. 7fg²
B. 7f³g³
C. 280f³g³
D. 280fg²
i really need help i dont understand geometry please answer both
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{100}[/tex] ( multiply both sides by 100 )
100 × tan35° = opp , that is
opp ≈ 100 × 0.7002 = 70.02
Thus height of tree = 70.02 + 5 = 75.02 ft
--------------------------------------------------------------------
Using the tangent ratio in the right triangle on the right.
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25.17}{rope}[/tex] ( multiply both sides by rope )
rope × tan40° = 25.17 ( divide both sides by tan40° )
rope = [tex]\frac{25.17}{tan40}[/tex] = [tex]\frac{25.17}{0.839}[/tex] = 30 ft
Caelan is saving to buy a vacation home. He inherits some money from a wealthy uncle, then combines this with the $ 24162 he has already saved and doubles the total in a lucky investment. He ends up with $ 146012 , just enough to buy a cabin on the lake. How much did he inherit?
Answer:
The amount inherited is $48,844
Step-by-step explanation:
Here, we want to know the amount of money inherited by Caelan.
Let the amount be $x
From the question, the amount inherited was combined with 24,162 and doubled in an investment to give 146,012
Thus, the amount before the lucky investment will be;
x + 24,162
Thus , after doubling, the amount becomes;
2(x + 24,162)
and this equals 146,012
2(x + 24,162) = 146,012
divide both sides by 2
x + 24,162 = 73,006
x = 73,006 - 24,162
x = $48,844
Someone invested some money at 8% and $300 more than
twice this amount at 12%. Her total annual income from
the two investments is $548. How much is invested at
each rate?
32
Answer:
$1600 at 8% and 3500 at 12%
Step-by-step explanation:
The rule of the interest is I = PRT, where
P is the amount of investment R is the rate in decimalT is the timeAssume that the amount of money is $x
∴ P = x
∵ The rate is 8%
∴ R = 8/100 = 0.08
∵ She has an annual income
∴ T = 1
→ Substitute them in the rule to find the interest amount
∴ I = x × 0.08 × 1
∴ I = 0.08x
∵ She invested $300 more than twice the previous amount
∴ P = 2x + 300
∵ The rate is 12%
∴ R = 12/100 = 0.12
∵ T = 1
→ Substitute them in the rule to find the other interest amount
∴ I = (2x + 300) × 0.12 × 1
∴ I = 0.24x + 36
∵ Her total annual income from both investments is $548
→ Add the two amount of interest and equate their sum by 548
∴ 0.08x + 0.24x + 36 = 548
→ Add the like terms in the left side
∴ 0.32x + 36 = 548
→ Subtract 36 from both sides
∴ 0.32x + 36 - 36 = 548 - 36
∴ 0.32x = 512
→ Divide both sides by 0.32
∴ x = 1600
∴ She invested $1600 at 8%
→ Substitute x by 1600 in the expression of the other amount to find it
∵ 2x + 300 = 2(1600) + 300 = 3500
∴ She invested $3500 at 12%
One hundred students go to the cafeteria to
eat lunch. Six tables held the same amount of
students while an additional 10 students
stood in line. Which equation can be used to
find the number of students sitting at each
table?
A 100= 10x + 6
B 100 + 6 x= 10
C 10 x - 100 = 10
D 6x + 10 = 100
Graph: +2 = 2(x + 3)
y
x
y
6
4
2
-6
-4
-2
2
4
6
-2
-4
-6
Draw
Answer: 6
4
2
-6
-4
-2
2
4
6
-2
-4
-6
Draw
Step-by-step explanation:
Answer:
good job
Step-by-step explanation:
When you are adding in commas to separate periods, which direction do you move to place them? What is the second set of period called?
I need some help solving these
Answer:1. 4x5
2. 7xm
3. 3xa
Step-by-step explanation: length times height to get area!
Answer:
Number 1 would be 4 x 5 = area
Number 2 would be 7 x m = area
And number 3 would br 3 x a = area
Given the following function, find f(-1), f(0), and f(5).
f(x)=x2-4
f(-1) =
f(0)=
f(5)=
Answer:
-6, -4, 6
Step-by-step explanation:
1.) f(-1)= (-1)2 - 4
= -2-4
= -6
2.) f(0)=(0)2-4
= -4
3.) f(5)= (5)2 -4
=10-4
6
please help!!!!!! im desperate!!!
Answer:
148degrees
Step-by-step explanation:
add 180 plus 32 which is 212 subtract that from 360 which is 148
PLEASE ! Find the slope of the line graphed.
Answer:
slope = -1/2
Step-by-step explanation:
From the graph, pick two points:
[tex](x_{1} , y_{1} ) (x_{2} , y_{2} )[/tex]-> (0, -2) and (-4, 0)
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
so (-2 - 0)/(0-(-4)) = -2/4 -> -1/2
What is 5-(n-4)=3(n+2)?
Answer:
-3n-6
Step-by-step explanation:
multiply each term by 3
-3(n+2)
-3n-3*2
-3n-6
g(t) = -2t + 3f(t) = 2t - 5
Find (g f)(t)
Answer:
( g − f ) ( a ) = g ( a ) − f ( a )
( g −f ) ( a ) = g ( a ) − f ( a )
= − 3 a − 3 − a 2 − 5
= − a 2 − 3a − 8
Step-by-step explanation:
After calculating, the value of (g f) (t) is ( - 4t + 13).
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The functions are,
⇒ g(t) = -2t + 3 and f (t) = 2t - 5
So, The value of function (g f) (t) is find as;
⇒ (g f) (t) = g (f (t))
= g (2t - 5)
= - 2 (2t - 5) + 3
= - 4t + 10 + 3
= - 4t + 13
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Select the property that allows the statement 10 = y to be written y = 10.
Answer:
The commutative property :))
How to find the short sides of a right angle triangle if your only given the length of the hypotenuse which is 15. And the shorts sides are equal to each other.
Hi! Could someone please answer this question I’m stuck on it please do it ASAP! id appreciate it
Answer:
198.57 cm^2
Step-by-step explanation:
If we join the 2 semi circles, we get a circle.
We can A = pi*r^2
d= 10, r = 5
Area of circle = pi*5^2 ,
= 25*pi
Since diameter= 10 vertically, it should be 10 horizontally too, but it's divided into 2 because of the 2 semi circles.
Thus, width of each semi circle is 5 cm.
Area of rectangle = l *b
Area = (22-10)*10
Area = 12*10
= 120 cm ^2
Total area = 25pi + 120
= 120 + 25(22/7)
= 120 + 78.57
= 198.57
Hope it helps :)
73,836 divided by 84
show work pls.
Answer:
879
Step-by-step explanation:
84 |73836
1738-672=663
663-588=756
Bonnie bought 5 pounds of apples for 8$. Don bought apples for $0.40 more per pound than Bonnie. How much did Dan spend per pound for his apples?
Jack runs 4 laps in 6 minutes. At that pace, how long did it take him to run half of a lap? Show your work. Write and solve a proportion for the situation.
Answer: half a lap would take 45 seconds
Step-by-step explanation:
One gallon is equal to about 3.7854 liters. What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?
Answer:
3
Step-by-step explanation:
If you try 4 liters, it will overflow since 4 is greater than 3.7854.
The answer is 3 liters.
What is an equation of the line that passes through the points(6,-6) and (-6,-8)
Answer:
y=1/6x-7
Step-by-step explanation:
I NEED HELP WITH THIS PLS Q1
Answer:
B. 80, -160
Step-by-step explanation:
The common ratio between these three numbers is -2.
-10 * -2 = 20
20 * - 2 = -40
-40 * -2 = 80
80 * -2 = -160
The formula D= m/v gives the density, D, in grams per cubic centimeter, for an object of mass, m, in grams, and a volume, V, in cubic centimeters.
Which of the following can be used to determine the volume of a mineral samples?
V=D/m
V=m/D
V=Dm
V=D-m
Answer:
v d m because I got the answer from gogjle
equation of a line into slope-intercept form, simplifying all
fractions.
12x + 3y = -18
Answer:
y = -4x - 6
Step-by-step explanation:
12x + 3y = -18
Solve for y.
3y = -12x - 18
y = -12/3 x - 18/3
y = -4x - 6
pleas help quickly !!
find the inverse of f(x)= 5/6x +10
Answer:
f − 1 (x ) = x/6 + 5/ 6
Step-by-step explanation: