Answer:
For each inequality, x > 5
, and the number added to x is 5
less than the number on the right side of each inequality. So, x > 5
is the solution of x + 5,558 > 5,563.
Step-by-step explanation:
13-8=5
Bear weight loss during hibernation is extreme. Male black bears will typically drop between 17 to 29 percent of their body weight. Let x represent the percent of body weight loss for a male black bear. Suppose that clic follows a uniform distribution. Find the probability that the male will lose between 19.41 and 23.74 percent of their body weight.
Using the uniform distribution, it is found that there is a 0.3608 = 36.08% probability that the male will lose between 19.41 and 23.74 percent of their body weight.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
In this problem, male black bears will typically drop between 17 to 29 percent of their body weight, hence the bounds are a = 17 and b = 29.
The probability that the male will lose between 19.41 and 23.74 percent of their body weight is given by:
[tex]P(19.41 \leq X \leq 23.74) = \frac{23.74 - 19.41}{29 - 17} = 0.3608[/tex]
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what is the slope of the line that passes through the point (9,4) and (3,9)?
Step-by-step explanation:
m is for slope of the line that passes through
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{9 - 4}{3 - 9} [/tex]
[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]
A sequence of transformations that maps ^RST to ^R'S'T' is a _______ followed by a _____.
Answer: Reflection followed by a translation
Step-by-step explanation:
First, RST is reflected along the x-axis.
Then, RST is translated one unit down into R'S'T' giving us what we're looking for.
help me pleaseeeeeeeeeeeeeeeeeeeeeeee
When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the nearest tenth of a foot.
Answer:
56.5 ft
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴[tex]\frac{AB}{SinD} =\frac{AD}{sinB}[/tex]
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
The answer is 56.5 ft
For the equations given below, which statement is true?
-3x-8+19
-3x-2=25
A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.
B. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.
D. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same. Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
-3x - 8 = 19 ...1
-3x - 2 = 25 ...2
Adding 6 on both sides in equation 1, then we have
-3x + 6 - 8 = 19 + 6
-3x - 2 = 25
The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same.
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can you please help me solve the problem
Answer:
a
Step-by-step explanation:
Please help me! I would appreciate it a lot!
Answer:
d
Step-by-step explanation:
pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=
Answer:
[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^3+3[/tex]
[tex]g(x)=2x^2+x-1[/tex]
Therefore:
[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]
(100) What’s the distance of all the sides combined, add the method.
Answer:
10cm2
Step-by-step explanation:
Answer:
As AE and BD intersect:
∠ACB and ∠ECD are vertically opposite angles and are therefore congruent.As AB is parallel to ED:
∠BAC and ∠DEC are alternate interior angle and are therefore congruent.∠ABC and ∠EDC are alternate interior angle and are therefore congruent.Therefore, we can use SSS Similarity Theorem to find the lengths of the sides:
[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]
[tex]\implies \sf \dfrac{400}{1000}=\dfrac{300}{ED}[/tex]
[tex]\implies \sf 400 \cdot ED=300 \cdot 1000[/tex]
[tex]\implies \sf ED=\dfrac{300000}{400}=750[/tex]
**The length of BC and CD cannot be determined without knowing an angle**
Therefore, the remainder of the calculations are based on the assumption that ∠BAC and ∠DEC are 90°
If ∠BAC = 90° then BC can be calculated using Pythagoras' Theorem
⇒ AB² + AC² = BC²
⇒ 300² + 400² = BC²
⇒ BC² = 250000
⇒ BC = 500
Using the side ratios stated previously:
[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]
[tex]\implies \sf \dfrac{400}{1000}=\dfrac{500}{DC}[/tex]
[tex]\implies \sf 400 \cdot DC=500 \cdot 1000[/tex]
[tex]\implies \sf DC=\dfrac{500000}{400}=1250[/tex]
Therefore, the distance of each side is:
AC = 400 mAB = 300 mBC = 500 mEC = 1000 mED = 750 mDC = 1250 mAssuming the sides are the solid lines marked with arrows only:
⇒ Total distance = AB + BC + DC + ED
= 300 + 500 + 1250 + 750
= 2800 m
Find the critical value tα/2 that corresponds to a 90% confidence level and a sample size of 7.
a) 1.943
b) 1.645
c) 3.707
d) 1.895
A
Step-by-step explanation:
hope it helps
Please help………………………..
Answer:
(a) sin⁻¹(√35/14)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...
Sin = Opposite/Hypotenuse
sin(C) = AB/AC
__
For this problem, substituting values gives ...
sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14
C = arcsin((√35)/14)
_____
Additional comment
Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.
PLEASE HELP ALL GRADES IN TONIGHT OR ZERO! WILL GOVE BRANLIEST Statistical Measures
Use the following data to determine each statistical measure.
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
5. mean
6. median
8. mode
9. interquartile range (IQR)
Data Representations
Make each data display using the data from Problems 5-7.
11. Box plot
12. Dot plot
7. range
10. mean absolute deviation (MAD)
Answer:
5. Mean = 11.5
6. Median = 11
7. Range = 12
8. Mode = 9 and 11
9. Interquartile Range (IQR) = 5
10. Mean Absolute Deviation (MAD) = 2.8
11. Just Replace the Values just like the example image.
12. Just draw the min = 7 and max = 19 dot plot.
Step-by-step explanation:
Mean = (9+9+14+7+12+8+11+19+15+11)/10 = 115/10 = 11.5
Mean = 11.5
Median: 7,8,9,9,11,11,12,14,15,19
Median in the center = 11
Range: Big Number - Small Number
Range = 19 - 7 = 12
Range = 12
Mode = 9 and 11
Interquartile Range (IQR): Q3 - Q1
Q3 = 14 , Q1 = 9
IQR = 14 - 9 = 5
IQR = 5
Mean Absolute Deviation (MAD): ( |7 - 11.5|+ |8 - 11.5| + ... + |15-11.5| + |19-11.5| )/10
MAD = ( 4.5 + 3.5 + 2.5 + 2.5 + 0.5 + 0.5 + 0.5 + 2.5 + 3.5 + 7.5 )/10 = 28/10 = 2.8
MAD = 2.8
The number of pupils in Pooti Junior School increased by x% form 800 pupils to 960. Find the value of x
solve for h
A=7h
thank you
Answer:
The equation of the circle with the origin as centre and passing through the point A(-2;4)
THERE ARE 25 CUB SCOUTS IN pACK 584 THE NUMBER OF SCOUTS IS 5 MORE THAN 5 TIMES THE NUMBER OF ADULT LEADERS FIND THE NUMBER OF ADULT LEADERS
The number of the adult leaders will be 4
What will be the number of adult leaders?A Number of cub scouts in troop 584 is = 25 .As per the statement given in the question "The number of scouts is 5 more than five times the number of adult leaders"
Number of scouts = 5(Number of adults) + 5
Here number of scouts = 25
Therefore, the equation will become as
25 = 5(Number of adults) + 5
5(Number of adults) = 25 - 5
5(Number of adults) = 20
(Number of adults) = 20/5=4
Hence the number of the adult leaders will be 4
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John had a bag of marbles as shown below.
What is the probability that John selects a green marble, replaces it, and then selects a
green marble?
3 green marbles
4 blue marbles
2 red marbles
1 yellow marble
A.9/100
B.1/ 10
C.1/15
D.1/50
Answer:
[tex]\sf A) \quad \dfrac{9}{100}[/tex]
Step-by-step explanation:
Given:
3 green marbles4 blue marbles2 red marbles1 yellow marbleTotal number of marbles = 3 + 4 + 2 + 1 = 10
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Probability of selecting a green marble on first pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
Probability of selecting a green marble on second pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
(as the 1st pick was replaced)
Therefore,
[tex]\implies \textsf{P(green marble) and P(green marble)} \sf =\dfrac{3}{10} \times \dfrac{3}{10}=\dfrac{9}{100}[/tex]
Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero slope, or an undefined slope. (6,2) and (1,2)
Answer:
line will be horizontal running through (0,2)
Step-by-step explanation:
6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.
Would the value of (12 - 4) = 4+1 change if the parentheses were removed? Explain.
Answer:
It would not
Step-by-step explanation:
(12-4)=4+1 would be 8=5
12-4=4+1 would also be 8=5
Please graph y=log3(x+2) and then find the asymptote domain and range
Answer:
Step-by-step explanation:
y = a * log_b (x - h) + k
(h,k) = (x,y)
h = shift right/left
k = shift up/down
Original Points of y = log_3
y = log_3 (x + 2)
h = -2 thus shift left.
Asymptote: x = -2
Domain: [-2 , +inf)
Range: (-inf , +inf)
What is the length of the two equal sides?
What is the length of the third side?
Answer:
the length of the third side is 21
Step-by-step explanation:
let P be the perimeter of the triangle
a the length of the first and second sides
b the length of the 3rd side
…………………………………………………
Then
P = a + a + b
= 2a + b
Where b = a + 6
Therefore
P = 2a + (a + 6)
= 3a + 6
We substitute the numbers we have into the equation:
51 = 3a + 6
⇔ 45 = 3a
⇔ a = 15
Since b = a + 6 then b = 15 + 6 = 21
Add this fractions. (It should be mixed number)
−5/6 + (−2 5/8)
Answer:
the awnser is -3 11/24
Step-by-step explanation:
Don't know
-2 5/7
Yan po answer ko inadd ko po by fraction
Three quarters of the sum of two numbers is 6 and half the difference of the two numbers is 1
Answer:
1 number= 4.5
2 number= 3.5
Step-by-step explanation:
Convert 85° to degrees Fahrenheit.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
answer :
[tex]C=\frac{265}{9}[/tex]
work:
[tex]F=85[/tex] °[tex]C[/tex]
[tex]F= 85[/tex] into [tex]C=\frac{5}{9}(F-32)[/tex]
[tex]C=\frac{5}{9}[/tex] x [tex](85-32)[/tex]
[tex]C=\frac{265}{9}[/tex]
Analyze the diagram below and answer the question that follows how much larger is the value for d X then the value of y
[tex]\sf \large \boxed{110 ^\circ}[/tex]
The Image given shows (vertically opposite angles) :1st equation: x + 2y = 502nd equation: x - 2y = 130Make x the subject in first equation:x + 2y = 50x = 50 - 2yInsert this in second equation:(50 - 2y) - 2y = 13050 - 2y - 2y = 130-4y = 130 - 50-4y = 80y = -20Find the value of x:x = 50 - 2yx = 50 - 2(-20)x = 90Difference between them:x - (y)90 - (-20)1105/3 ÷ 1/9
list answer below
Answer:
5
Step-by-step explanation:
just calculated and got it
Answer:
15
Step-by-step explanation:
First, change it to multiplication and flip the second fraction
5/3×9/1
Then you multiply 5×9 and 3×1. This gets you 45/3
45/3 can be simplified down to 15 so the answer is 15
There are 30
in a
Passengers
bus. 2/3 of them are men then
the percentage of women
is ?
Answer:
33.33....
Step-by-step explanation:
If 2/3 of them are men, then 1/3 are women. I/3=0.333....
To find the percent you multiply by 100 and get 33.3333 and you can write then however your system requests a repeating decimal.
three eighths plus four eighths equals
Answer:
7/8 (seven eighths)
Step-by-step explanation:
add the numerators (top numbers) together, to get 7. Leave the denominator (bottom number) alone, since they are the same. Think about it like you're adding two different parts of a whole.
you should get 7/8
hope this helps
in its Simpliest form, The Ratio of 825g to 1kg
Answer:
Step-by-step explanation:
1g = 0.001 kg.
82.5g = 0.001 x 82.5 kg
= 0.0825 kg
= 825/1000 kg
The universal set is the set that contains no elements.
True
False
Answer:
False,
Step-by-step explanation:
The set that contains no elements is the null set Ф.
Answer: True
Step-by-step explanation: Where all inclusive set comprises of a set of all elements, the purge set contains no elements of the subsets.