If 4 out of 7 armadillos
carry a defective gene,
about how many
armadillos carry the
normal gene in a
population of 843
armadillos? Round to the nearest whole.
Answer:
About 231 armadillos
Step-by-step explanation:
Step 1:
4 : 7 Ratio
Step 2:
4x + 7x = 843 Equation
Step 3:
11x = 843 Combine Like Terms
Step 4:
x = 843 ÷ 11 Divide
Step 5:
x ≈ 77
Step 6:
77 × 3 Multiply
Answer:
231
Hope This Helps :)
Question 2 (1 point) What is the equation in slope-intercept form of the line that passes through the point (-4,0) and is perpendicular to the line represented by y=-3x - 1? O a y - () = -(x + 4) Ob y - 0) = (x + 4) y - 4 = -x-0) y + 4 = (x - 0)
Step-by-step explanation:
Given parameters:
Coordinate = (-4, 0)
Equation of the line given; y = -3x - 1
Unknown:
The equation of the line perpendicular to this = ?
Solution:
To find the equation of the line perpendicular to the given line, we need to obtain the value of the slope from this equation first.
The slope of the perpendicular line will be the negative inverse of the one given;
Every straight line can be written as;
y = mx + c
Given line;
y = -3x - 1
the slope of this line = -3
A perpendicular line to this line will have a slope of;
[tex]\frac{1}{3}[/tex] a negative inverse of (-3)
Now,
Let us go ahead and find the intercept c;
y = mx + c
0 = [tex]\frac{1}{3}[/tex] x (-4) + c
c= [tex]\frac{4}{3}[/tex]
insert parameters:
y = [tex]\frac{1}{3}[/tex]x + [tex]\frac{4}{3}[/tex]
Multiply through by 3;
3y = x + 4
Kayden bought a pair of jeans that cost $15.95, 10 bracelets for $0.83 each, and 4 shirts for $9.50 each at a store. She has $3.14 left. How much money did she have before buying the items?
Answer:
$65.39
Step-by-step explanation:
10* $0.83= $8.30
4 * $9.50= $38.00
$15.95 + $8.30 + $38.00 + $3.14 = $65.39
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.2 feet. A sample of 53 men’s step lengths is taken.
Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.
Answer:
P[ X < 2,4 ] = 0,1587 or 15,87 %
Step-by-step explanation:
Normal Distribution N ( 2,6 , 0,2 )
mean = μ₀ = 2,6 ft and
standard dviation is
σ = 0,2 ft
Samle size 53 n = 53
2,4 - 2,6 = 0,2
That means the difference between 2,4 and the mean of the sample ( 2,6) is equal to one standar deviation. The empircal rule establishes that the interval [ μ₀ ± σ] contans 68,3 % of all values, by symmetry
μ₀ - σ = 68,3/2
μ₀ - σ = 34,15
Then the half of the bell shape curve is 0,5 and from 0,2 up to 0 ( the normalized μ₀ ) is 34,15 then dfference between
0,5 - 0,3415 = 0,1585 or 15,85% is the probability
Other procedure is:
P[ X < 2,4 ] = [X - μ₀ ] / σ
P[ X < 2,4 ] = 2,4 - 2,6 / 0,2
P[ X < 2,4 ] = - 0,2/0,2
P[ X < 2,4 ] = - 1
And fom z - table we find for z (score) = - 1
P[ X < 2,4 ] = 0,1587
Answer:
0.0668
Step-by-step explanation:
z=x−μσ=2.3−2.60.2=−1.50
Using the normal distribution tables, we find that the area under the standard normal curve to the left of z=−1.50 is approximately 0.0668. Thus, the probability that an individual man’s step length is less than 2.3 feet is approximately 0.0668.
FOR 100 POINTS please answer asap and if you don't know plz don't answer. Thank you A scuba diver was exploring a reef 39.6 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min. distance = rate(time)
a) How is 39.6 m below sea level displayed as rational number? ( 3pts)
b) How long did it take the diver to reach the surface? (4pts)
Answer:
A)
[tex]-39.6[/tex]
B)
[tex]4.5\text{ minutes}[/tex]
Step-by-step explanation:
We know that the scuba diver is exploring a reef 39.6 meters below the sea level.
Remember that sea level is always 0 meters in elevation.
We also know that the diver ascended to the surface at a rate of 8.8 meters per minute.
Part A)
Since sea level is the 0th meter, anything below this will be negative.
So, since the diver is 39.6 meters below sea level, we can express this as:
[tex]-39.6[/tex]
Part B)
We know that the diver ascends at a rate of 8.8 meters per minute.
The diver is currently at 39.6 meters.
Remember that the surface is the sea level. So, we want to find after how many minutes m does the diver reach the 0th meter.
So, we can write the following equation and solve for m:
[tex]-39.6+8.8m=0[/tex]
The -39.6 represents the diver's current altitude.
The 8.8m represents the diver's rate of ascending 8.8 meters per minute m. Notice that 8.8m is positive because we're ascending.
And the 0 represents the 0th meter or sea level or the surface.
So, solve for m. Add 39.6 to both sides:
[tex]8.8m=39.6[/tex]
Divide both sides by 8.8. So:
[tex]m=4.5[/tex]
So, it will take the diver 4 and a half minutes to reach the surface.
And we're done!
On New year's Eve the times square ball is lowers 47 ft every 20 seconds how long does it take for the ball to be lower 141 ft
Answer:
1 minute
Step-by-step explanation:
141/47=3. then 3*20=60 which is equal to one minute
please help as soon as you can
Answer:
FOR QUESTION 5
1. Angle 1 congruent to angle 4; given
2. Angle 1 supplementary to angle 2; assumed from diagram
3. Angle 4 supplementary to angle 3; assumed from diagram
4. Angle 2 congruent to angle 3; angles supplementary to congruent angles are congruent
5. Angle 3 congruent to angle 5; verticla angles are congruent
6. Angle 2 congruent to angle 5; substitution
FOR QUESTION 6
1. Angle 2 congruent to angle 3; given
2. Angle 2 congruent to angle 1; vertical angles are congruent
3. Angle 3 congruent to angle 4; vertical angles are congruent
4. Angle 1 congruent to angle four; substituiton (see statement #1)
Step-by-step explanation:
Please help!!! I will make you brainiest!!!!
Answer:
y > 5.5
Step-by-step explanation:
The answer is C
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
Plz give me brainliest
Help (Math) Which of the following objects are needed to construct Parallel Lines? Select ALL that apply
are the opposites of -6.5 and the absolute value of -6.5 the same?
Answer:
Yes
Step-by-step explanation:
the opposite of -6.5 is 6.5.
The absolute value of |-6.5| is 6.5.
Hope this helps.
Is 1.35 an irrational number? Why?
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
2/9
Step-by-step explanation:
Any fraction in the form 0.n repeated is in the form n/9
Find the equation of the linear function represented by the table below in slope-
intercept form.
Х
o
1
2
3
4
у
-1
3
7
11
15
Answer:
1y157
Step-by-step explanation:
divede decimals by a whole number in this question 2.6÷2
Answer:
Step-by-step explanation:
2.6 ÷ 2 = 1.3
Ann 's car can go 222 miles on 6 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Answer:
185
Step-by-step explanation:
222/6=37
5*37=185
Greg bought a suit for $150. Cleaning costs will be $30 each year. He plans on wearing the suit 12 times each year. What will the cost per wear be after two years?
give three examples of turning force that we can see it our day to day life
Answer:
A person pushing a swing will make the swing rotate about its pivot.
A worker applies a force to a spanner to rotate a nut.
A person removes a bottle's cork by pushing down the bottle opener's lever.
A force is applied to a door knob and the door swings open about its hinge.
A number multiplied by 7 is less than 21. Which of the following expressions
correctly identifies this sentence? *
(N instead of X for variable)
N x 7 < 21
Can you help me solve this problem please? Solve 6n = 2n – 8.
How much greater is the product of 98 * 50 than the product of 97 * 50
Answer:
With 98x50 its like there are 98 fiveties. In 97x 50 there are 97 fiveties. There is one more 50 in 98x50.
Step-by-step explanation:With 98x50 its like there are 98 fiveties. In 97x 50 there are 97 fiveties. There is one more 50 in 98x50.
Answer:
duno
Step-by-step explanation: duno
An x-box cost $230 but is discounted 18%. What is the new cost of the x-box?
Answer:
41.4$
Step-by-step explanation:
10% of 230 is 23$
23/5=4.6
4.6$=2%
18.4$=8%
23+18.4$
41.4$
Answer:
41.4
Step-by-step explanation:
Hope this helped
what is the solution to the equation 2/3a-1/6=1/3
Answer:
a = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2a}{3} -\frac{1}{6} =\frac{1}{3}[/tex]
[tex]\frac{4a}{6}-\frac{1}{6} =\frac{2}{6}[/tex]
(now you can multiply the whole equation by 6 to remove the fractions
4a - 1 = 2
4a = 2+1
4a = 3
a = [tex]\frac{3}{4}[/tex]
Answer:
a=3/4
Step-by-step explanation:
How many units from zero is -253?
Answer:
253 units
Step-by-step explanation:
-253 is 253 units behind 0.
5. Write a division number sentence
using 3,9,and 27
Answer:
27÷3 =9
Step-by-step explanation:
27 divided by 3 is 9
Answer: 3 * 9 = 27, 27 / 3= 9, 27/9 = 3
Step-by-step explanation:
3 being multiplied by 9 will give you 27.
27 divided by 9 will give you 3.
27 divide by 3 will give you 9.
When r = 8 and s = 5, what is the value of r +2s
- 9?
Answer:
9
Step-by-step explanation:
If we substitute the variables for the numbers, the equation looks like this:
8+2(5)-9
Because 2s was multiplying 2 by s in the original equation, we can do that step first!
8+2(5)-9
8+10-9
Personally, I think it's a lot easier to subtract 9 from 10 first, but you can solve this part in any order.
8+10-9
8+1
This is the last part; we just have to add 8 and 1 now!
8+1=9
Hope this helps!!! Have a wonderful day C:
Please help on these questions ASAP!
I will give brainliest
Are the triangles below acute obtuse or right (I have to make multiple questions because it won’t let me put them on)
Answer:
they're both acute im 100% sure
Step-by-step explanation:
On Monday, there were 827 people at the amusement park. On Tuesday, the weather was rainy and only 686 people were at the park. Write an expression to estimate the difference of the number of people at
the park on Monday and Tuesday by rounding each value to the nearest
hundred.
Answer:
let monday be a = 800 (nearest 100)
let tuesday be b = 700 (nearest 100)
a+b = 800 + 700 = 1500
a+b = 1500
J is the midpoint of CT
С
J
T
If:
CJ = 5x – 3 and
JT = 2x + 21
Find CT.
Answer:
CT=37
Step-by-step explanation:
5x-3 = 2x+21
-2x
3x-3 = 21
+3
3x = 24
÷3
× = 8
5(8) - 3 = 37
2(8) +21 =37
SOMEONE HELP ME PLZZZZ
Answer:
nice
Step-by-step explanation: