Answer:
1056
Step-by-step explanation:
33*32= 1056
(33*30)+(33*2)= (990)+(66)=1056
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 :)
Suppose that the value of a stock varies each day from $13 to $24 with a uniform distribution. (a) Find the probability that the value of the stock is more than $17. (Round your answer to four decimal places.) (b) Find the probability that the value of the stock is between $17 and $21. (Round your answer to four decimal places.) (c) Find the upper quartile; 25% of all days the stock is above what value? (Enter your answer to the nearest cent.) (d) Given that the stock is greater than $16, find the probability that the stock is more than $20. (Round your answer to four decimal places.)
Answer:
a. P= 0.6364
b. P = 0.3636
c. Q = $21.25
d. P = 0.5
Step-by-step explanation:
given data
value of a stock varies = $13 to $24
solution
P (stock value is more than $17)
P = [tex]\frac{(24-17)}{(24-13)}[/tex]
P = [tex]\frac{7}{11}[/tex]
P = 0.6364
and
P (value of the stock is between $17 and $21)
P = [tex]\frac{(21-17)}{(24-13)}[/tex]
P = [tex]\frac{4}{11}[/tex]
P = 0.3636
and
Let the upper quartile be Q
[tex]\frac{(24 - Q)}{(24 - 13)} = 0.25[/tex]
[tex]\frac{(24 - Q)}{11} = 0.25[/tex]
(24 - Q) = 2.75
so
Q = $21.25
and
P(X > 20 | X > 16)
P = [tex]\frac{(24-20)}{(24-16)}[/tex]
P = [tex]\frac{4}{8}[/tex]
P = 0.5
Using the uniform distribution, it is found that:
a) 0.6364 = 63.64% probability that the value of the stock is more than $17.
b) 0.3636 = 36.36% probability that the value of the stock is between $17 and $21.
c) The upper quartile is of 21.25.
d) 0.5 = 50% probability that the stock is more than $20.
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, varies each day from $13 to $24 with a uniform distribution, hence [tex]a = 13, b = 24[/tex]
Item a:
[tex]P(X > 17) = \frac{24 - 17}{24 - 13} = 0.6364[/tex]
0.6364 = 63.64% probability that the value of the stock is more than $17.
Item b:
[tex]P(17 \leq X \leq 21) = \frac{21 - 17}{24 - 13} = 0.3636[/tex]
0.3636 = 36.36% probability that the value of the stock is between $17 and $21.
Item c:
This is the 75th percentile, that is, the value of x for which P(X < x) = 0.75.
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.75 = \frac{x - 13}{24 - 13}[/tex]
[tex]x - 13 = 11(0.75)[/tex]
[tex]x = 21.25[/tex]
The upper quartile is of 21.25.
Item d:
Greater than $16, hence [tex]a = 16[/tex].
[tex]P(X > 20) = \frac{24 - 20}{24 - 16} = 0.5[/tex]
0.5 = 50% probability that the stock is more than $20.
A similar problem is given at https://brainly.com/question/13547683
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:
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:
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:
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?
(7.3B) Last week Mr. Messi ran 2.2 miles on
Monday, 0.8 miles on Tuesday, one and a
quarter miles on Wednesday, one and sixth
tenths miles on Thursday and half a mile on
Friday. How many total miles did Mr. Messi
run last week?
Can some one help mee..
Answer:
4 11/12 Miles
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
Another Example! Mr. Harm's class sold 1,475 items at $5 per item. He calculates his class raised $2,375. Is Mr. Harm's calculation reasonable? 1,475 5 a Х Explain:
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
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.
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
SOMEONE HELP ME PLZZZZ
Answer:
nice
Step-by-step explanation:
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
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:
Is 1.35 an irrational number? Why?
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.
Urgent can someone please help
Answer:
x = 27 and y = 66.5
Step-by-step explanation:
First, solve for x: since the 2 angles are supplementary, they add up to 180 degrees, leaving us with the equation (5x+1)+(x+17)=180 -> 6x+18=180 -> 6x=162 -> x = 27
After that, since the lines are parallel, 5x+1 degrees = 3y-14 degrees. We already know x, so we can just plug that in and solve for y: 5*27+1 = 3y-14 -> 136 = 3y+14 -> 122 = 3y -> y = 66.5
Therefore, x = 27 and y = 66.5.
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:
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
How many units from zero is -253?
Answer:
253 units
Step-by-step explanation:
-253 is 253 units behind 0.
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
Help (Math) Which of the following objects are needed to construct Parallel Lines? Select ALL that apply
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.
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
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
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
Please help on these questions ASAP!
I will give brainliest
divede decimals by a whole number in this question 2.6÷2
Answer:
Step-by-step explanation:
2.6 ÷ 2 = 1.3