1.242 ≤ d ≤ 1.305 is the corresponding interval for the diameter of the washer.
Given that,
Company A makes and sells a washer having a 4-centimeter outer radius. The corporation has decided on a washer with an actual radius in the range of 3.9 ≤ C ≤ 4.1.
Inequality is defined as the connection of an equation having the symbol ( ≤, ≥, <, >) in place of the assignment operator.
Here,
C = 3.14d
Given inequality,
3.9 ≤ C ≤ 4.1
3.9 ≤ 3.14d ≤ 4.1
dividing both sides of the inequality by 3.14,
1.242 ≤ d ≤ 1.305
As a result, the needed matching spacing for the washer's diameter is 1.242 ≤ d ≤ 1.305.
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Complete the point-slope equation of the line through (-4,8)(−4,8)left parenthesis, minus, 4, comma, 8, right parenthesis and (4,4)(4,4)left parenthesis, 4, comma, 4, right parenthesis.
The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12 .
The point slope form of the line passing through the points (x₁,y₁) having slope as m is given by the formula .
y-y₁ = m(x-x₁)
In the question ,
it is given that
the required line passes through the points (-4,8) and (4,4) ,
So , the slope(m) is = (4-8)/(4-(-4)
= -4/8
= -1/2
the equation of the line passing through (4,4) and slope as -1/2 in the point slope form is
(y-4) = -1/2(x-4)
y - 4 = (-x + 4)/2
2y-8 = -x + 4
x + 2y = 12
Therefore , The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12 .
The given question is incomplete , the complete question is
Write the point slope equation of the line that passes through the points (-4,8) and (4,4) .
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Answer:
y - 4 = -1/2 (x-4)
Step-by-step explanation:
thats the answer on khan
Please help me, it is important
Answer:
True
False
False
False
Step-by-step explanation:
1) a rhombus is a quadrilateral that has four equal sides. The angles do not have to be 90°, but if they are 90°, it would be a square.
2) Rhombus has all four sides equal A rectangle does not have to have all four side lengths equal.
3) A quadrilateral means that it is a four sides figure. A rectangle is a 4 sided figure will parallel sides and opposite sides of equal length.
4) Parallelograms mean that the opposite sides have to be equal. A rectangle is a parallelogram, but it does not have to be a square.
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation?
A. From the starting position of 7 meters below sea level, the fish is descending 3 meters per second.
B. From the starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
C. From the starting position of 3 meters below sea level, the fish is descending 7 meters per second.
D. From the starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
The statement that best describes the depth of the fish based on the given equation is: C. From the starting position of 3 meters below sea level, the fish is descending 7 meters per second.
How to Interpret a Linear Equation?A negative slope implies a negative constant rate of a linear equation. In slope-intercept form, the linear equation is expressed as y = mx + b, where the constant rate is represented as "m", while the starting value is represented as "b".
In the given scenario, the equation y = -7x - 3 models the depth, y, the fish swims below the sea level at x number of seconds.
This implies that:
The starting value (b) = -3, represents the starting position of the fish, which is 3 meters below the sea level.
-7 is the constant rate of the linear equation, which is the rate at which the fish is descending below the sea level, which is: 7 meters per second. The best statement is therefore: C.
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Use normal approximation to estimate the probability of getting more than 52 girls in 100 births. Assume that boys and girls are equally likely.
The probability of getting more than 52 girls in 100 births is 0.3446
This is further explained below.
What is the probability?Generally, The ratio of females to boys per one hundred births is modeled here as:
[tex]\large X \sim Bin(n = 100, p = 0.5)[/tex]
Where
Bin shows binomial
n=sample size
p=sample proportion
The following is an approximation of this using the normal distribution:
[tex]\large X \sim N(\mu= np, \sigma^2 = np(1-p))\\\\\large X \sim N(\mu= 100*0.5 , \sigma^2 = 100*0.5*0.5)\\\\\large X \sim N(\mu= 50 , \sigma^2 = 25)\\\\\large X \sim N(\mu= 50 , \sigma = 5)[/tex]
In light of this, the formula for calculating the probability is as follows:
P(X > 52)
When we take into account the continuity correction factor, we obtain the following:
P(X > 52.5)
After transforming it into a regular variable according to the standards, the following is what we get:
P(Z > (52.5 - 50) / 5)
= P(Z > 0.5)
Taking this information from the usual normal tables, we get the following:
P(Z > 0.5) = 0.3085
in conclusion, the necessary probability in this scenario is 0.3085. It should be noted that we may do this without correcting the continuity, in which case:
P(X > 52)
[tex]= P(Z > (\frac{52 - 50}{ 5})[/tex]
= P(Z > 0.4)
= 0.3446
Hence, the necessary probability in this scenario is 0.3446.
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Imagine that 1 in 5 individuals is allergic to peanuts. A peanut allergy test gives a positive result 10% of the time. If someone has a peanut allergy, the test will give a positive result 40% of the time. What is the probability that you have a peanut allergy if the test result is positive?.
The probability that you have a peanut allergy given a positive test result is 50%.
To find the probability that you have a peanut allergy given a positive test result, we can use Bayes' theorem.
Let's define the following events:
A: You have a peanut allergy.
B: The test result is positive.
We are given the following probabilities:
P(A) = 1/5 = 0.2 (1 in 5 individuals is allergic to peanuts).
P(B|A) = 0.4 (if you have a peanut allergy, the test will give a positive result 40% of the time).
P(B|not A) = 0.1 (if you don't have a peanut allergy, the test will give a positive result 10% of the time).
We want to find P(A|B), which is the probability that you have a peanut allergy given a positive test result.
Bayes' theorem states:
P(A|B) = (P(B|A) × P(A)) / P(B)
Now, let's calculate P(B):
P(B) = P(B|A) × P(A) + P(B|not A) × P(not A)
P(not A) is the probability of not having a peanut allergy, which is equal to 1 - P(A):
P(not A) = 1 - P(A) = 1 - 0.2 = 0.8
Now, we can calculate P(B):
P(B) = (0.4 × 0.2) + (0.1 × 0.8) = 0.08 + 0.08
= 0.16
Now, let's calculate P(A|B) using Bayes' theorem:
P(A|B) = (P(B|A) × P(A)) / P(B)
P(A|B) = (0.4 × 0.2) / 0.16
P(A|B) = 0.08 / 0.16
P(A|B) = 0.5
Therefore, the probability that you have a peanut allergy given a positive test result is 50%.
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the base-ten representation for 19!19! is 121121, 6t56t5,100100,40m40m, 832832, h00h00, where tt, mm, and hh denote digits that are not given. what is t m ht m h?
the base-ten representation for 19! = 121,6T5,100,40M,832,000 then
H+M+T =12
19! has three 5s so it will end with three 0s.
Hence H = 0
19! = 121,6T5,100,40M,832,000 = 121,6T5,100,40M,832 * 1000
19! has many 2s. So M832 will be divisible by 16 (last 4 digits).
So M000 + 832 is divisible by 16. 832 is completely divisible by 16. Since 16*5 = 80, 8000 must be divisible by 16.
M = 8
19! = 121,6T5,100,408,832,000
Since 19! is divisible by 9, sum of all digits must be divisible by 9.
1+2+1+6+T+5+1+4+8+8+3+2 = T + 41
To make this divisible by 9, T must be 4.
H+M+T = 0 + 8 + 4 = 12
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Can someone help me solve this please? Karen Gaines invested $14,000 in a money market account with an interest rate of 1.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account?
Answer:
Given that,
Karen Gaines invested $14,000 in a money market account with an interest rate of 1.75% compounded semiannually.
Six years later, Karen withdrew the full amount to put toward the down payment on a new house.
To find the amount withdraw.
we know that, formula for finding amount of compound interest as,
[tex]A=P(1+\frac{r}{100})^n[/tex]where P is the principal, nis the number of years, r is the rate of interest per annum.
Given that, interest rate of 1.75% compounded semiannually, therefore number of years is 6x2=12 years.
Substitute the values we get,
[tex]A=14000\times(1+\frac{1.75}{100})^{12}[/tex][tex]=14000(1.0175)^{12^{}}[/tex][tex]=14000(1.2314)[/tex][tex]=17240.15[/tex]Karen withdraws $17,240.15 from the account.
Is it possible to perform two reflections of an object so that the final image is identical to the original image? If so, give an example. If not , explain your reasoning
Answer:
Yes, it is possible
Step-by-step explanation:
Take a function y= f(x). When it is reflected across the x-axis the x-coordinates do not change but the y coordinates become the negative of the pre-image
In other words reflection f'(x) of f(x) over the x-axis is y = -f(x)
If we reflect f'(x) over the x-axis then the resultant reflection is
f''(x) = -f'(x) = -(-f(x)) = f(x)
So we get the original image after two consecutive reflections along the x-axis
What is NOT another name for line qA) line RLB) line LQC) line LGD) line RG
In the given figure, RL, LG and RG are line segments, which are portions of a line q connecting two endpoints.
Therefore, RL, LG and RG a are another name of line q.
LQ is not another name of line q.
So, option B is correct.
.............................................
I'm not sure how to answer this.
Multiply. Write your answer as a fraction in simplest form. −2(−1 1/4)=
The simplest form is [tex]\frac{11}{2}[/tex] .
What is a fraction?fraction, In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that,
−2(−1 1/4)
Multiplying the numerator with numerator and denominator with denominator. According to integer multiplication of two negative terms is always positive.
= [tex]\frac{22}{4}[/tex]
The simplest form = [tex]\frac{11}{2}[/tex]
Hence, The simplest form is [tex]\frac{11}{2}[/tex] .
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Note the graph of an athletes performance after finishing a triathlon the X axis measures time in hours and the Y axis measures distance in kilometers first she swam, then biked, and then She finished the race with a run the data states she ran four times as fast as she swam and she biked twice as fast as she ran based on the graph choose the statement below that is false
From the graph, the athlete spent 2 hours biking (from hour 1 to hour 3)
And, the athlete spent 3 hours running (from hour 3 to hour 6)
Then, the athlete spent equal amounts of time biking and running is false
The points (6, −2) and (h, −3) fall on a line with a slope of 1. What is the valu
h =
============================================================
Explanation:
m = 1 is the given slope
(x1,y1) = (6,-2) and (x2,y2) = (h,-3) are the two points on a line of slope 1.
Let's use the slope formula to find h
[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (h,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\1 = \frac{-3 - (-2)}{h - 6}\\\\1 = \frac{-3 + 2}{h - 6}\\\\1 = \frac{-1}{h-6}\\\\1(h-6) = -1\\\\h-6 = -1\\\\h = -1+6\\\\h = 5[/tex]
------------------
The point (h,-3) updates to (5,-3).
The slope of the line through (6,-2) and (5,-3) is 1.
Use the slope formula to confirm this.
[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (5,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - (-2)}{5 - 6}\\\\m = \frac{-3 + 2}{5 - 6}\\\\m = \frac{-1}{-1}\\\\m = 1\\\\[/tex]
The answer is confirmed.
WHAT IS THIS ANSWER I NEED HELP PLSSS :(
Answer:
6.9
Step-by-step explanation:
6 4/5 in decimal form is 6.8.
6.9 is higher than 6.8 but lower than 7.
Find the missing number so that the equation has no solutions.
-4x - 15 = X-7
Answer:4 and 3
Step-by-step explanation:
The graph shows a linear relationship between x and y. What is the rate of change of y with respect to x for this function?
A) 2
B) -2
C) -1/2
D) 1/2
Answer:
A
Step-by-step explanation:
the slope of the line is a measure of the rate of change.
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
the rate of change of y with respect to x is 2
Answer:
A) 2
Step-by-step explanation:
Rise over run,
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
-2 will be [tex]x_{1}[/tex] and -3 will be [tex]y_{1}[/tex]
2 will be [tex]x_{2}[/tex] and 5 will be [tex]y_{2}[/tex]
It doesn't matter which order you place the points, for [tex]x_{1}[/tex], or [tex]x_{2}[/tex] but [tex]x_{1}[/tex] and and [tex]y_{1}[/tex] must be one point while [tex]x_{2}[/tex] and [tex]y_{2}[/tex] must be one point.
Then, we replace the values to find:
[tex]\frac{5-(-3)}{2-(-2)}[/tex]
We then simplify this expression to [tex]\frac{8}{4} = 2[/tex]
Therefore, our slope for this function is 2
does anyone know what to put on these boxes?
Answer:
answer c=3p in different ways.
Step-by-step explanation:
so the first one I think you put muliplys of 3..annd the second one you put a graph of 3
What integer would represent a withdrawal of $170?
The withdrawal of $170 can be represented as -$170.
Since withdrawal results in a deduction of the money from the total amount, Hence, it will be represented as a negative value.
What are Integers?The number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer denoted by a minus sign (1, 2, 3, etc.) are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common mathematical symbol for the set of integers.The lowest group and ring of the natural numbers are formed by the integers. To distinguish them from the more generic algebraic integers, the integers in algebraic number theory are occasionally designated as rational integers. In actuality, (rational) integers are rational numbers that are also algebraic integers.To learn more about Integers, refer to:
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a biologist studying florida bass observed a quadratic relationship between the lengths and weights of fish in a large sample. the biologist took the base 101010 logarithm for the values of both variables, and they noticed a linear relationship in the transformed data. here's the least-squares regression equation for the transformed data, where weight is in kilograms and length is in centimeters. \widehat{\log(\text{weight})}
Answer:
We're given a least-squares regression equation that we can use to predict weight (in kilograms) from a given length (in centimeters). The question asks to predict the weight of a fish that is 70cm long, so let's plug in 70 for "length" and solve for the predicted weight: logweight = 3.08 (log length) -5.07
(logweight) 3.08 (log 70) - 5.07
(logweight) ≈ 3.08 (1.84) - 5.07
log weight ≈ 0.613
Next, we use the fact that these are base 10 logarithms and the definition of a logarithm to solve for the predicted weight:
log₁₀ (weight) ≈ 0.613
Taking logarithms on both sides
weight ≈ 10₀.₆₁₃
weight ≈ 4.1
According to this model, the predicted weight for a 70 cm long Florida bass is about 4.1kg.
Evaluate the expression picture attached 50 POINTS
Answer:...
Step-by-step explanation:
What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?
The transformation of the functions from f(x) to g(x) is translate 7 units right and 2 units up
How to determine the transformation?The equations of the functions are given as
f(x) = 3x + 9
g(x) = 3x - 10
Let the translations from f(x) to g(x) be h and k
So, we have
g(x) = f(x + h) + k
This gives
f(x + h) = 3(x + h) + 9 + k
Open the brackets
f(x + h) = 3x + 3h + 9 + k
Substitute f(x + h) = 3x + 3h + 9 + k in g(x) = f(x + h) + k
g(x) = 3x + 3h + 9 + k
This means that
3x + 3h + 9 + k = 3x - 10
Evaluate the like terms
3h + 9 + k = - 10
This gives
3h + k = - 19
Express -19 as -21 + 2
3h + k = -21 + 2
Express 21 as 3 * 7
3h + k = -3 * 7 + 2
By comparison, we have
h = -7 and k = 2
This means that the transformation is 7 units right and 2 units up
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Bananas are priced at $0.39 per pound. If Harvey buys 7 pounds of bananas, whatwill he expect to pay?
Answer:
He is expected to pay $2.73
Explanation:
We can solve this, by adding 0.39 7 times:
[tex]2\text{ }pounds\text{ }of\text{ }bananas:0.39+0.39=0.78[/tex][tex]3\text{ }pounds\text{ }of\text{ }bananas:0.78+0.39=1.17[/tex][tex]4\text{ }pounds\text{ }of\text{ }bananas:1.17+0.39=1.56[/tex][tex]5\text{ }pounds\text{ }of\text{ }bananas:1.56+0.39=1.95[/tex][tex]6\text{ }pounds\text{ }of\text{ }bananas:1.95+0.39=2.34[/tex][tex]7\text{ }pounds\text{ }of\text{ }bananas:2.34+0.39=2.73[/tex]Thus, 7 pound of bananas cost $2.73
A teacher makes Hawaiian popcorn
for the 26 students in her class by adding 1 batch of
Hawaiian popcorn seasoning to 13 cups of popcorn.
Each student gets 2 cups of popcorn. How many
batches of seasoning does the teacher use?
The number of seasoning batches required by the teacher is 4.
Given, there are 26 students in a class.
The teacher is adding 1 batch of hawaiian popcorn seasoning to 13 cups of popcorn.
Each student gets 2 cups of popcorn.
If 26 students are getting 2 cups of popcorn, then the total cups required by the students will be :
26×2
= 52 cups.
Now, one batch of seasoning is consumed by 13 cups.
how many batches of seasoning will be required for 52 cups = ?
⇒ 13 cups + 13 cups + 13 cups + 13 cups = 52 cups
Hence 4 batches of seasoning is required for 26 students to get two cups each popcorn with seasoning.
Therefore 4 batches of seasoning the teacher used.
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-10=5/7(-7)+b
Solve for B
Answer: b = -5
Step-by-step explanation:
-10 = 5/7 (-7) +b
-10 = -5 + b
-5 = b
Write a rule of reflection
???????
Answer:
(x, y) to (-y,-x)
Step-by-step explanation:
You have to find the reflection which is the opposite so the opposite of x is -x the opposite of y is -y!
please help, please omg
Answer:
Step-by-step explanation:
I believe the equation would be 3(f-5)=60.
The answer to that equation would be:
3(f-5)-60
3f-5=60 Open parentheses
3f=60+5 Take 5 to the other side
3f=65 Add 60 and 5
f=65/3 Divide the sum of 60 and 5 with 3
f=21.6 Answer
Please help! Attachment is above
I can’t figure out 6 and 10
The solution of m for question 6 and the value of z for question 10 does not exist.
According to the question,
We have the following information,
6) 1/3 + 2m/3 = 2m/3-2/3
Now, moving the terms with the same variables in one side:
2m/3-2m/3+1/3 = -2/3
Now, when 2m/3 is subtracted from 2m/3 then we have no variable left.
So, the solution of this equation does not exist.
10) 2.5(2z+5) = 5(z+2.5)
Now, multiplying the numbers outside the bracket into bracket:
5z+12.5 = 5z+12.5
Moving the terms with the same variables on one side:
5z-5z+12.5 = 12.5
Now, when 5z is subtracted from5z then we have no variable left.
So, the solution of this equation does not exist.
Hence, the solutions of the equation 6 and equation 10 does not exist.
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12. Luis bought stock at $83.60. The next day, the price changed by -4 3/4 What
was the final stock price?
The final stock price will be equal to $87.57.
Percentage may be defined as a form of expressing a number as a fraction of hundred. To find the percentage of a number we divide the number by the total amount and then multiply the answer with hundred. We have the initial value of stock price as $83.60, and the stock price changed by 4.75%. Now, if we find 4.75% 0f $83.60 we get
(4.75/100) × $83.60 = $3.97 which is the change occurring in price. We add this amount in the initial amount and we get $83.60 + $3.97 = $87.57. If we look at the initial and final amount of stock, we see that Luis benefitted from the stock as he gained an amount of $3.97.
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A side of the triangle below has been
extended to form an exterior angle of 64°.
Find the value of x.
16⁰
Answer:
X =
64°
xº
The measure of the interior angle x is 48°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
We know that sum of all the interior angles of a triangle is 180°.
The measure of an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Given, An exterior angle that measures 64° and two opposite interior angle measuring 16° and x°.
∴ x° + 16° = 64°.
x = (64 - 16)°.
x = 48°.
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