Answer:
6 miles
Step-by-step explanation:
75% = [tex]\frac{3}{4}[/tex], so that means she biked 8·[tex]\frac{3}{4}[/tex] which is 24/4 = 6
Answer:
6 miles
Step-by-step explanation:
75/ 100 x 8= 3/4 x 8=6 miles
Max has 5 apples he gives away 2 How many apples does he have left
In the given figure , find m
Answer:
19 is the answer
Step-by-step explanation:
Answer:
29 Degrees
Step-by-step explanation:
As you know the total degrees is 82, all you have to do is subtract 82 from 53 to give you 29.
help with slope please !
Answer:
-1
Step-by-step explanation:
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If my dog is yellow and red on the tail blue on it’s left foot how much does he weigh and is he orange?
seventy five pounds
Step-by-step explanation:
because the colors make him heavy duh
Doug invested $7,000 in an account paying 5.5% simple interest annually. If Doug leaves his money in the account for 6 years, how much interest will he accumulate
Answer:
Doug will have $9,651 after 6 years.
Step-by-step explanation:
it's hard to explain it step-by-step, but you can watch a video on it if you want to know how to do it.
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units
This question is incomplete, the remaining part of the question is upload as an image alongside this answer.
Answer:
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Step-by-step explanation:
From the Figure on the image; lets consider the circle of radius r, centered at the origin.
let ABCD be the largest rectangle that can be inscribed inside the circle.
Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,
half height of rectangle y = √(r² - x²)
Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)
thus the area of the inscribed rectangle = length × width
⇒ A(x) = 2x(2√(r² - x²))
⇒ A(x) = 4x√(r² - x²)
now in order to maximize the area, we find critical points.
so we find the derivative and set that zero, that is Ai(x) = 0.
so using product rule, we get
A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²) )
A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²) )
Now for critical points, set A'(x) = 0
so
( -4x² / √(r² - x²) ) + ( 4√(r² - x²) ) = 0
( 4x² / √(r² - x²) ) = ( 4√(r² - x²) )
x² = r² - x²
2x² = r²
x² = r²/2
x = ±√(r²/2)
Now since x represent the with, it cannot be negative, Thus
x = r/√2
hence
y = √(r² - x²) = √(r² - r²/2) = √(r²/2) = r/√2
Therefore, the dimensions of the rectangle of largest area will be;
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.
Answer:
32.55
Step-by-step explanation:
d = 32.552266
For:
(X1, Y1) = (-12.3, 15.1)
(X2, Y2) = (17.5, 2)
Distance Equation Solution:
d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√
d=888.04+171.61−−−−−−−−−−−−−√
d=1–√059.65
d=32.552266
could be confusing.
find the value of x showing your steps. identify the postulate that allowed you to solve for x.
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
CongruencyAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
Step 2: Solve for x
Divide 3 on both sides: x + 7 = 21Subtract 7 on both sides: x = 14Problem #5
A book bag priced at $25.40 was discounted to $19.05. What
percent is the discount?
A 15%
B 25%
33.3%
D
63.5%
Problem #5
*
A water tower that is 132 feet tall casts a 48-foot long shadow. If Shannon is 1 point
5'6" inches tall and standing near the tower, find the length of her shadow.
Answer:
2.03 ft
Step-by-step explanation:
132 divided by 48 is 2.75 and 5.6 divided by 2.75 is 2.03
For an ellipse whose minor axis is vertical, how does the value of b compare to the distance from the vertices on the vertical axis to the center?
a. same c. no comparison b. different d. none of the above
Answer:
A
Step-by-step explanation:
i just took the lab assessment
A steel cable consists of eight high-strength steel strands. The strength of each strand can be modeled by a lognormal random variable with a mean value of 50 kips and a coefficient of variation of 10%. What is the probability that the weakest strand will have a strength less than 40 kips?
Answer:
P(X< 40) = 0.014367
Step-by-step explanation:
From the given information:
Suppose X denotes the strength of each steel strand & X follows the lognormal distribution with a mean value [tex]\mu_x[/tex] = 50 kips & coefficient of variation CV = 10%
Using the formula for the coefficient of variation CV
[tex]cv = \dfrac{\sigma_x}{\mu_x}[/tex]
[tex]0.10 = \dfrac{\sigma_x}{50}[/tex]
[tex]\sigma_x = 50 (0.10)[/tex]
[tex]\sigma_x = 5[/tex]
By applying the mean and mean & variance from the lognormal distribution, we have:
[tex]\dfrac{\sigma_x^2}{\mu_x}= \dfrac{\{exp(2 \mu + \sigma^2)\} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]
[tex]\dfrac{5^2}{50}= \dfrac{\{exp(2( \mu + \dfrac{\sigma^2}{2})) \} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]
[tex]\dfrac{5^2}{50}= exp \{ 2 ( \mu + \dfrac{\sigma^2}{2}) - ( \mu + \dfrac{\sigma^2}{2}) \} \{ ( exp ( \sigma^2))-1 \}[/tex]
[tex]\dfrac{5^2}{50}=exp \{(\mu + \dfrac{\sigma^2}{2}) \} {(exp (\sigma^2))-1 \}[/tex]
[tex]\dfrac{5^2}{50}=50 \{ (exp (\sigma^2 )) -1 \}[/tex]
[tex]\dfrac{25}{50 \times 50 }= ( exp (\sigma^2 )) -1[/tex]
[tex]exp( \sigma^2) = \dfrac{25}{50 \times 50}+ 1[/tex]
[tex]exp( \sigma^2) = (\dfrac{25+2500}{2500 })[/tex]
[tex]exp( \sigma^2) =1.01[/tex]
[tex]\sigma^2 = In (1.01)[/tex]
[tex]\mathbf {\sigma^2 = 0.00995}[/tex]
However, the next process is to replace the value of [tex]\sigma^2[/tex] into the logman distributions mean.
[tex]\mu_x = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]
[tex]50 = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]
[tex]50 = exp ( \mu + \dfrac{0.00995}{2})[/tex]
[tex]In(50) = ( \mu + \dfrac{0.00995}{2})[/tex]
3.912023 = μ +0.004975
μ = 3.907048
Now, we know our mean to be 3.907048 and the variance to be 0.00995.
Therefore, the probability that the weakest strand will have a strength of fewer than 40 kips can be computed as follows:
P(X< 40) = P(In(x) < In(40))
[tex]P(X<40) = P(\dfrac{In(x) - \mu}{\sigma} < \dfrac{In(40) - \mu}{\sigma})[/tex]
since;
[tex]\sigma^2 = 0.00995 \\ \\ \sigma = \sqrt{0.00995} \\ \\ \sigma = 0.0998[/tex]
[tex]P(X<40) = P(Z < \dfrac{In(40) - 3.907048}{0.0998})[/tex]
P(X< 40) = P(Z < -2.18712)
Using the Excel formula =(=NORMDIST (-2.18712)
P(X< 40) = 0.014367
In the diagram below, what is the ratio of unshaded parts to shaded parts?
(The diagram) 4 shaded triangles and 12 unshaded triangles.)
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded
Answer:It would be c
Step-by-step explanation:because every 1 shaded rectangle comes 3 shaded triangles so the ratio would be 3:1 and it would not be 1:3 because you go the way the question asks first if that makes any sense
Answer:
c
Step-by-step explanation:
HELPPP! D got cut off at the end
Answer:
I'm pretty sure the correct answer is A from the info given
Step-by-step explanation:
What is the solution to the inequality −2x+8<3(2x−4)?
Answer:
x>5/2
Step-by-step explanation:
Explain how to evaluate algebraic expression
given value of a variable.
A plane is flying from city A to city B, which is 70 miles away. After flying 25 miles, the pilot realizes they were 15 ∘ off course .
How far is the plane from city B when the pilot realized the error?
about 74.4 miles
about 21.8 miles
about 46.3 miles
about 84.94 miles
What is the sign of the product (3)(–3)(–2)(4)
Answer:
72
Step-by-step explanation:
brainliest please
What is the measure of AC⏜?
Step-by-step explanation:
Angle at Center = 2 * Angle at Circumference
Let O be the center of the circle.
By using segment AC,
Angle AOC = 2 * Angle ABC = 2 * 75° = 150°.
Therefore the measure of arc AC is 150°.
g According to government data, 25% of employed women have never been married. If 10 employed women are selected at random, what is the probability that two or fewer of them have never been married
Answer:
The probability is 0.5263
Step-by-step explanation:
Probability of employed women being unmarried = 25% = 0.25 ( let this be p)
Probability of employed women ever being married = 1-0.25 = 0.75 (let this be q)
Now, we want to calculate the probability that two or less have never been married
We can use the Bernoulli approximation of the Binomial distribution here;
In this case, we have three cases
We have cases of;
Exactly two + Exactly one + None
For exactly two;
10 C 2 0.25^2 0.75^8 = 0.282
For exactly one
10 C 1 0.25^1 0.75^9 = 0.188
For none
10C 0 0.25^0 0.75^10 = 0.0563
Adding these 3 to get the probability of two or fewer, we have;
0.0563 + 0.188 + 0.282 = 0.5263
Please I need help !!!!
Answer:
The first one is c the second is b
Help me with these maths, thanks.
-Tornado
The required answer is -2.85.
Hope it helps!
Answer:
-2.85
Step-by-step explanation:
first take l. c. m
(-35-22)/20
and -57/20= -2.85
Make a table of values for f(x) after the given translation 3 units up
Answer:
In this case, we do not have the table, so i will answer in a general way:
First, let's describe the transformation.
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Then a shift of 3 units up, is written as:
g(x) = f(x) + 3
This would be translated to the table in the next way:
You need to add 3 to all the values of y (or f(x)) in the table:
So if for example, the original table was:
x f(x)
0 5
1 7
2 10
3 15
The table of the transformation will be:
x g(x)
0 5 + 3 = 8
1 7 + 3 = 10
2 10 + 3 = 13
3 15 + 3 = 18
Jenny bought gas for her car. Gas cost $3.45 per gallon. She bought 12.2 gallons for her car. What was the total cost of gas for Jenny's car?
Answer:
42.09
Step-by-step explanation:
3.45 x 12.2 = 42.09 (checked with a calculator)
please help asap!! no trolls
Answer:
Cannot prove as congruent
Step-by-step explanation:
AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.
please answer asap
25 points
Answer:
(-5,7) that will be your answer.
Write 56\90 as a decimal
Answer:
0.62
Step-by-step explanation:
divide 56 by 90
Hope this helps :)
Answer:
0.622222222222
Step-by-step explanation:
Keith is making a spice rack for his mom in woodworking class. He starts with a board that is 31.25 inches long. Then, he cuts it into 5 equal pieces for the shelves. How long will each shelf be?
Answer:
the answer is ......
Step-by-step explanation:
846.27 divided by 0.22
1274 divded by 14 whatttt is itttt plssss helppp asappp
1274 divided by 14 equals 91, see attachment below