ANSWER
\(2.5\text{ pounds}\)EXPLANATION
To find the answer, we have to apply proportions:
\(\begin{gathered} 1\text{ pound = 16 ounces} \\ x\text{ pounds = 40 ounces} \end{gathered}\)Now, cross-multiply:
\(\begin{gathered} x\cdot16=1\cdot40 \\ \Rightarrow x=\frac{40}{16} \\ x=2.5 \end{gathered}\)Therefore, 40 ounces is equal to 2.5 pounds.
.
1. Steve runs 8 kilometers in 2 hours. He runs for another hour. How many
kilometers can Steve run in that time, if he maintains his pace?
If the r-value, or correlation coefficient, of a data set is , the
coefficient of determination is positive.
A. True
B. False
Answer:
The answer is True.
Step-by-step explanation:
The end answer is a postive one it is not a negative number.
Let f be a function defined for t ≥ 0. Then the integral ℒ{f(t)} = [infinity] e−stf(t) dt 0 is said to be the Laplace transform of f, provided that the integral converges. to find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = cos(t), 0 ≤ t < π 0, t ≥ π
Answer:
L(f(t)) = \(2 \frac{e^{-s} }{s} - \frac{1}{s}\)
Step-by-step explanation:
let f be a function defined for t ≥ 0
we can write the function f(t) in terms of unit function as follows
f(t) = 2 u,(t) - 1 where
0≤ t < 1
f(t) = (2 * 0) -1 = -1
when t ≥ 1
f(t) = (2*1 )- 1 = 1
Now the Laplace transform L(F(T)) = 2L( u, (t) ) - L(1) --------equation 1
this is because L(u,(t)) = \(\frac{e^{-cs} }{s}\)
c = 1 hence L(1) = 1/s
back to equation 1
L(f(t)) = 2 \(\frac{e^{-cs} }{s}\) - 1/s laplace transform
also L(u(t) ) = \(\frac{e^{-s} }{s}\)
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50 with a standard deviation of $0.10. Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.30 and $1.70 for a pint of frozen yogurt?
a) 99.7%.
b) 95%.
c) 34%.
d) 68%.
$1.30 and $1.70 is two standard deviations away from the mean on both sides of the mean, and the empirical rule for normal distribution tells us that approximately 95 percent of the data are within two standard deviations of the mean. Hence, option B is the right choice.
What is a normal distribution?Data in a normal distribution is symmetrically distributed and has no skew. When displayed on a graph, the data has the shape of a bell, with most values clustering in a central region and tapering off as they go away from the center.
Because of their structure, normal distributions are sometimes known as Gaussian distributions or bell curves.
What is the empirical rule for a normal distribution?The empirical rule, often known as the 68-95-99.7 rule, indicates where the majority of your values fall in a normal distribution:
Approximately 68 percent of data are within one standard deviation of the mean.Approximately 95 percent of the data are within two standard deviations of the mean.Approximately 99.7 percent of data are within three standard deviations of the mean.How to solve the given question?In the question, we are given that at a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50 with a standard deviation of $0.10.
We are asked that assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.30 and $1.70 for a pint of frozen yogurt.
Following the empirical rule for a normal distribution, we need to check how many standard deviations from the mean are at $1.30 and $1.70.
$1.30 = $1.50 - 2($0.10)
and $1.70 = $1.50 + 2(0.10).
Thus, $1.30 and $1.70 is two standard deviations away from the mean on both sides of the mean, and the empirical rule for normal distribution tells us that approximately 95 percent of the data are within two standard deviations of the mean. Hence, option B is the right choice.
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It’s due late tonight can some pls help me pass
Answer:
A
Step-by-step explanation:
if it starts at and next is 8 it gos up by 3 each time
Answer:
A
Step-by-step explanation:
5 +3
8 +3
11 +3
14
They are all getting increased by 3
In a public opinion survey, 80 out of a sample of 100 high-income voters and 55 out of a sample of 80 low-income voters supported the introduction of a new national security tax.
a/ Estimate, with 95% confidence level, the true proportion of low-income people who will vote for the introduction of the tax.
b/ Can we conclude at the 5% level of significance that the proportion of high-income voters favoring the new security tax is 10% higher than that of low-income voters?
The confidence interval of the true proportion of low income people who will vote for the introduction of the tax is
Yes, we can conclude that at the 5% level of significance, the proportion of high income voters favoring the new security tax is 10% higher than that of low income voters using Test of Significance for Difference of Proportions.
What is confidence interval?
A confidence interval is the mean of your estimate plus and minus the variation in that estimate.
Proportion of high-income people who will vote for the introduction of the tax = p1 = \(\frac{80}{100} = \frac{4}{5}\)\(= 0.8\)
Proportion of low-income people who will vote for the introduction of the tax = p2 = \(\frac{55}{80} = \frac{11}{16}\) \(= 0.6875\)
95% confidence interval of the true proportion of low income people who will vote for the introduction of the tax -
Upper confidence interval -
\(= p + 1.96 \sqrt{pq/n}\)
\(=0.6875 + 1.96 \sqrt{(0.6875)(1-0.6875)/80} \\= 0.6875 + 1.96 \sqrt{0.00268} \\=0.789\)
Lower confidence interval -
\(= p - 1.96 \sqrt{pq/n}\)
\(=0.6875 - 1.96 \sqrt{(0.6875)(1-0.6875)/80} \\= 0.6875 - 1.96 \sqrt{0.00268} \\=0.586\)
What is Test of Significance for Difference of Proportions?Test of Significance for Difference of Proportions is used when we want to compare two distinct populations with respect to the prevalence of a certain attribute, say A, among their members.
n1 = 100
X1 = 80
p1 = 0.8
n2 = 80
X2 = 55
p2 = 0.6875
H0: the proportion of high-income voters favoring the new security tax is 10% higher than that of low-income voters.(P1 - P2 = 0.1)
H1: the proportion of high-income voters favoring the new security tax isn't 10% higher than that of low-income voters. (P1 - P2 != 0.1)
\(z = \frac{(p1 - p2) - (P1 -P2)}{(\frac{X1+X2}{n1+n2})(1-\frac{X1+X2}{n1+n2})(\frac{1}{n1}+\frac{1}{n2} ) }\)
\(z = \frac{(0.8 - 0.6875)- 0.1}{\sqrt{0.75*0.25*0.0225} } \\\\z = \frac{0.0125}{0.0649} \\\\z = 0.1926\)
Since z = 0.1926 < 1.96, null hypothesis cannot be rejected. Thus, the proportion of high-income voters favoring the new security tax is 10% higher than that of low-income voters.
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Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
1.) inverse proportion : 1kx = y
2) direct proportion. y = kx
Find each value given the following function:
Answer:
Step-by-step explanation:
1) f(-4) --> if x < or equal to 3
2) 1/(-4)-4
3) The answer is - 1/8
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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You have a pickle recipe that requires 24 ounces of sugar. You want to make a triple batch of pickles. How many pounds of sugar do you need for the triple batch?
Answer:
Step-by-step explanation:
4.5
The number of the pounds of sugar that you need for triple batch will be 72 ounces.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
You have a pickle recipe that requires 24 ounces of sugar.
You want to make a triple batch of pickles.
Then the number of the pounds of sugar that you need for triple batch will be
⇒ 3 x 24
⇒ 72 ounces
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Will give brainliest
Answer:
Perpendicular
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
They form a 90 degree angle.
The circumference of the cylinder below is 6 cm and the height is 8 cm. What is the curved surface area of the cylinder? If your answer is a decimal, give it to 1 d.p. circumference = 6 cm
8 cm
The curved surface area of the cylinder is 48.06 cm².
The circumference of a cylinder is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the base.
In this case, the given circumference is 6 cm.
So, 6 = 2πr
r = 6 / (2π)
r ≈ 0.955 cm
Now, the curved surface area (CSA) of the cylinder using the formula:
CSA = 2πrh
Given the height as 8 cm, we can substitute the values into the formula:
CSA = 2π(0.955 cm)(8 cm)
CSA ≈ 48.06 cm²
Therefore, the curved surface area of the cylinder is 48.06 cm².
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How many centiliters are in 0.00005 liters?
0.00005 L = [?] cL in standard form.
The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.
What is the number of centilitres in 0.00005 litres?Recall that; it follows from metric systems that;
100 centilitres = 1 litres.
On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;
= 0.00005 × 100 centilitres
= 0.005 centilitres.
Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.
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PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
Select all the roots of 49?
Answer:
{2401, {-2401
Step-by-step explanation:
Sorry couldnt type the root symbol on my ipad.
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).
A random sample of 1175 people in a certain country
Answer:
c
Step-by-step explanation:
..........................
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf.
She writes the expression (−5)(50−2) to represent her profit based on the price per scarf,
Use the drop-down menus to complete the statements about Sofie's profit.
Answer:
The first part is 5
The maximum it can be is 200
Step-by-step explanation:
Because I said So
Sofie will not make a profit if she sells her scarves for $5 or less.
The maximum profit Sofie can make is $200.
What is a parabola?A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
According to the given problem,
y = (x - 5)(50 - 2x)
⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)
⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)
⇒ y - (x - 5)(-2x + 50) = 0
⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0
⇒ y - ( -2x² + 50x + 10x - 250) = 0
⇒ y - ( - 2x² + 60x - 250 ) = 0
⇒ y + 2x² - 60x + 250 = 0
⇒ 2x² -60x + y + 250 = 0
⇒ ( 2x² - 60x ) + y + 250 = 0
⇒ 2 ( x² - \(\frac{60}{2}\)x) + y + 250 = 0
⇒ 2 ( x² - \(\frac{2^{2} *3*5}{2}\)x) + y + 250 = 0
⇒ 2 ( x² - 30x ) + y + 250 = 0
⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0
⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0
⇒ 2( x - 15 )² + y = -2(-225) - 250
⇒ 2( x - 15 )² + y = 450 - 250
⇒ 2( x - 15 )² + y = 200
⇒ y = -2( x - 15 )² + 200
This equation is in the form of y = a(x - h)² + k where the vertex of the parabola is (h , k).
Therefore the vertex of the parabola is at (15 , 200)
Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.
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A verbal description of a linear function f is given. Express the function f in the form
f(x) = ax + b.
The linear function g has rate of change −16 and initial value 600.
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
What is the linear function which is as described?It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
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When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality
True
False
"When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality" statement becomes: true
What is an inequality?A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers. The equals sign in the equation-like phrase 7x 4 > 2x + 5 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 7x 4, is larger than the right part, 2x + 5, in the equation. Finding the values of x for which the inequality holds true will be of importance to us.
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14Y - 7y = 35. solve for y
Answer:
y = 5
Step-by-step explanation:
\(14y-7y=35\\7y=35\\y=5\)
14 minus 7 is 7
7Y is equal to 35
divide both sides by 7 is equal to 5
Helpppppppppppp me please
Answer:
C) x² = a/b
Step-by-step explanation:
What is the answer to 5x6+8+9-5 Pls help i dont remember pemdas mean
Answer:
The answer is 42
Step-by-step explanation:
PEMDAS=
parenthesis, exponents, multiplication, division, addition, subtraction.
Answer:
The answer is 42
PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction
HELP MEEE PLEASE AND HURRY the question is “Tracy is playing a math card game and has dealt with each players 4 math cards. Which player did NOT receive a card with an irrational number?”
Answer:
It would be Ryan
Step-by-step explanation:
Jenna's pool is 22 feet long, 12 feet across and 6 feet deep.How many square feet of plaster will it take to cover it? (Be careful:Think about which parts will or won't be covered in plaster)
Answer:
264sq feet
Step-by-step explanation:
because you only need to cover the top you multiply 22 x 12 to get 264 sq feet
help me please. Thank u !!
find the slope-intercept equation of the line passing through the point (2,1) with the slope of m=3
Answer:
y-1 = 3(x +2)
Step-by-step explanation:
Ok, so the point-slope form is:
y-k = m(x-h) where m is the slope and (h,k) is the given point.
Since you are given m = 3 , and (h,k) = (-2,1)
y-1 = 3(x +2)
Since your question specified using the point-slope form, make sure you use this equation when answering it. Otherwise, you may get it wrong.
Amanda asked a random sample of 40 students from her school to identify their birth month. There are 300 students in her school. Amanda's data is shown in this
table:
Student Birth Months
Birth Month
January
February
March
April
May
June
July
August
September
October
November
December
Number of Students
3
0
3
10
4
3
4
3
2
2
3
3
Which of these statements is best supported by the data?
Exactly 25% of the students in Amanda's school have April as their birth month.
There are no students in Amanda's school that have a February birth month.
There are probably more students at Amanda's school with an April birth month than a July birth month.
There are probably more students at Amanda's school with a July birth month than a June birth month.
Which of the following expressions is the inverse of the function y = 2x − 6?
Answer:
\( x = \frac{1}{2} y + 3\)
Step-by-step explanation:
\(y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}\)