A circle with a diameter of A=2.3 units is given, it is required to find the circumference of the circle.
The formula for the circumference of a circle of diameter A is:
\(C=\pi A\)Substitute A=2.3 into the formula:
\(C=\pi(2.3)=2.3\pi\text{ units}\)The correct option is c.
Rita bought 1/4 pound hamburger patties
for her family reunion picnic. She
bought 50 patties. How many pounds of
hamburgers did she buy?
Answer:
12 1/2 pounds
Step-by-step explanation:
You want to know the total weight of 50 hamburger patties that weigh 1/4 pound each.
Total weightThe weight of 50 patties will be the sum of their weights. That sum is most easily figured using multiplication.
(1/4 lb) +(1/4 lb) +(1/4 lb) +... +(1/4 lb) . . . . 50 repetitions
= 50 × (1/4 lb)
= (50/4) lb = 12.5 lb
Rita bought 12 1/2 pounds of hamburgers.
The filling variance for boxes of cereal is designed to be .02 or less. A sample of 41 boxes of cereal shows a sample standard deviation of 0.16 ounces.
a. Use α= 0.05 to determine whether the variance in the cereal box fillings is exceeding the design specification.
b. State the null and alternative hypotheses.
c. Calculate the value of the test statistic (to 2 decimals).
d. The p-value is:_______
e. What is your conclusion?
Answer:
-
Null hypothesis H₀ : σ² ≤ 0.02
Alternative hypothesis Hₐ : σ² > 0.02
- Chi Square = 51.2
- p-value = 0.1104
- since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).
We fail to reject null hypothesis.
- So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.
Step-by-step explanation:
Given the data in the question;
filling variance for boxes of cereal is designed to be .02 or less
sample size n = 41 boxes
standard deviation S = 0.16 ounces
level of significance = 0.05
Hypothesis;
Null hypothesis H₀ : σ² ≤ 0.02
Alternative hypothesis Hₐ : σ² > 0.02
{ Upper tail test }
Test statistics;
Chi Square = [ ( n-1 ) × S² ] / σ²
Chi Square = [ ( 41-1 ) × (0.16)² ] / 0.02
Chi Square = [ 40 × 0.0256 ] / 0.02
Chi Square = 1.024/ 0.02
Chi Square = 51.2
Degree of freedom df = n - 1 = 41 - 1 = 40
Chi square value at 0.05 and df of 40 = 55.7585
p-value = 0.1104
since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).
We fail to reject null hypothesis.
So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.
I need it now so plz help me I am only in seventh grade
Answer:
D
Step-by-step explanation:
goodluck!!
Which of the following are true?
Factorizar e indicar cuántos factores primos tiene -3+3x^2+y-x^2*y-y^2+x^2*y
What is the surface area of the right cone below?
Radius 8
Slanted height 14
A. 896 units2
B. 1677 units2
C. 1767 units2
D. 2247 units
Total surface area of cone is 176π
Explanation:
Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.
Hence surface area of curved surface of a cone is π×8×14=112π .
As surface area of base is π×82=64π .
Hence total surface area is 112π+64π=176π
The surface area of the given cone is 552.64 units²
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, a cone has a radius of 8 and slant height of 14 units, we need to find its surface area,
The surface area of cone = π ·r²+ π·r·l, where l is the slant height,
So,
SA = (3.14 × 8²) + (3.14 × 8 × 14)
= 200.96 + 351.68
= 552.64
Hence, the surface area of the given cone is 552.64 units²
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Please help will mark Brainly
Answer:
f(x) = - 2x + 4
Step-by-step explanation:
Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.
We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).
So, the new equation would be f(x) = -2x + 4
Step-by-step explanation:
it simply means that g(x) is f(x) just shifted 3 units upwards.
that means nothing else changes, only whatever y result f(x) produces is increased by 3.
so,
g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4
therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.
the slope stays the same (g(x) is simply a parallel line to f(x)).
the y-intercept (the y-value when x = 0) also increases by 3, and is 4.
the x-intercept (the x-value when y = 0) changes :
0 = -2x + 4
2x = 4
x = 2
the x-intercept is 2.
what is the reciprocal for 4/9
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
Please Help Me With This Question!!!
Answer:
B. 11/12
Step-by-step explanation:
Answer: B. 11/12
Step-by-step explanation:
.
(Please someone help me!) (No links!)
Please answer for all three with those answer choices!
Answer:
Step-by-step explanation:
1) $50(0.20) = $10
2) $50(1.02) = $51
3) $50(1 - 0.20) = $40
A rectangle has a width measuring 5 ft. and a length measuring x −2. Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet
Answer:
The inequality is: \(5(x - 2) \geq 35\)
The solution is: \(x \geq 9\)
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle with length l and width w is given by:
A = lw
In this question:
Width 5 feet.
Length x - 2.
For which the area of the rectangle will be at least 35 square feet
Equal or greater than 35. So
\(5(x - 2) \geq 35\)
\(5x \geq 45\)
\(x \geq \frac{45}{5}\)
\(x \geq 9\)
Which of these tables is a ratio table?
B
Step-by-step explanation:
you have to divide the numbers to see if they equivalent.
express in simplest radical form √112
a manufacturer of bicycle parts requires that a bicycle chain have a width of 0.3 inch with an absolute deviation of at most 0.0003 inch. write and solve an absolute value inequality that represents the acceptable widths.
Answer:
\( |w-0.3| \leq 0.0003\)
And solving we got:
\( -0.0003 \leq w-0.3 \leq 0.0003\)
\(0.3-0.0003 \leq w \leq 0.3+0.0003\)
\( 0.2997 \leq w \leq 0.3003\)
Step-by-step explanation:
For this case we can define the following notation:
\( W\) represent the width
And we want a maximum error of 0.0003 so we can set up the following equation:
\( |w-0.3| \leq 0.0003\)
And solving we got:
\( -0.0003 \leq w-0.3 \leq 0.0003\)
\(0.3-0.0003 \leq w \leq 0.3+0.0003\)
\( 0.2997 \leq w \leq 0.3003\)
Need help asap thanks
Answer:
x=1
Step-by-step explanation:
f(x)=-4x^2+8x-28 (Identify the cofficients)
a=-4, b=8 (Substitute the coefficients into the expression)
x=-8/2(-4) (solve the equation)
x=1
please tell me if i am wrong :)
HELPPP HELPP HELPP!!! ASAP AHHHHHHHHH
Which of these is an exponential parent function?A. f(x)=2^x+ 2/3 B.f(x)=2^x C.f(x)=2^x+2 D.f(x)=2^x-3
\(2^{x}\) + \(\frac{2}{3}\), \(2^{x}\), \(2^{x}+2\), \(2^{x}-3\) are examples of exponential parent function.So all of the given options are true.
What are exponential parent function?Parent function: The most basic function in a family of functions is the parent function. A family of functions is a collection of functions that have similar graph shapes because they all have the same greatest degree.
Four graphs that illustrate the U-shaped graph, or parabola, are displayed in the graph above. We can classify them as belonging to the same family of functions since they all have the same highest degree of two and the same form.
Exponential parent function: Algebraic expressions appear in the exponent of exponential functions. The formula for its parent function is y = \(b^{x}\), where b can be any non-zero constant.
For above definitions we can conclude that all options given to us are exponential parent function.
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Jim is 8 ft 9 in tall. Jane is 23.5 in tall. How many times taller than Jane is Jim?
Question 2 of 49
Lines AB and XY are best described as which of the following?
A. Perpendicular rays
B. Perpendicular segments
C. Perpendicular lines
D. Parallel lines
Option (b) is the correct answer: Perpendicular segments.
Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.
1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.
2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.
3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.
4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).
Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.
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$10.25 per hour x 25 hours round to the nearest cent
Answer:
256.25
Step-by-step explanation:
$10.25 not taxed x 25
There are 16 tablespoons in 1 cup. How many tablespoons of cornstarch would Cheryl need to make the green slime recipe 15 times?
Cheryl would need 240 tablespoons of cornstarch to make the green slime recipe 15 times.
What is multiplication?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.
To make the green slime recipe 15 times, Cheryl would need 15 times the amount of cornstarch listed in the recipe.
If 1 cup of cornstarch is needed for one recipe, then 15 cups of cornstarch would be needed to make the recipe 15 times.
Since there are 16 tablespoons in 1 cup, the number of tablespoons of cornstarch needed to make the recipe 15 times is:
= 16 tablespoons/cup x 15 cups
= 240 tablespoons.
So, Cheryl would need 240 tablespoons of cornstarch to make the green slime recipe 15 times.
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I will give everyone free brainy points if you help me with this problem
Devon buys 40 shares of stock at $24 per share and sells them all at $36 per share. Which statements are correct for this situation?
BWT: it is in USA test prep
The answer is A,D, and E
A:50% gain
D:$480 gain
E:share sell for $1440
Answer:
A, D, E
Step-by-step explanation:
Find the 50th term of the following arithmetic sequence:
40, 36, 32, 28, 24, ...
The 50th term of the arithemetic sequence 40, 36, 32, 28, 24, .. will be - 156 which is the correct answer to this question.
Here In this question, we need to find the 50th term of this sequence and for that, we have to find the common difference in the values.
Here we can notice that each term is getting smaller by 4 so the common difference here is -4.
Equation used :
an = a1 + (n - 1) * d
where
an is the nth term of seriesa1 is the first term of series n is the term number that needs to be found andd is the common difference between two continuous termsGiven :
a1 = 40
d = -4
n = 50
Putting these values into the formula :
a50 = 40 + (50 - 1) × (-4)
On simplifying by the BODMAS rule,
a50 = 40 + 49 × (-4)
a50 = 40 - 196
a50 = -156
Hence -156 is the 50th term of this arithmetic sequence.
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What is the word for added and subtracted parts of an expression
Answer:
Step-by-step explanation:
answer: terms
hope that is what you mean!
Please help I put 50 points into this
Answer:
B,C,E
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
A ray can have 2 endpoints
And because of that it can be named more than one way.
That means that B&E are wrong
Solve for the portion. Round to hundredths when necessary.
14.5% of 1,800 is
The value of 14.5% of 1,800 is 261 by using the concept of percentage.
What is meant by percentage?In mathematics, a percentage is a value or ratio expressed as a fraction of 100.
The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.
A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.
Given,
14.5% of 1,800
=(14.5/100)×1800
=261
Therefore, the answer is 261.
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Definitions for vocab
Answer:
when whered then they
Step-by-step explanation:
the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
identify the special product by writing the letter of the answer provided. ( number 10 question in photo. )
Given:
\((10f+2d)(2f-4d)=20f^2-36df-8d^2\)Its a trinomial that are product of two binomials.
Option b, is the correct answer .
In the formula for the area of a circle, what gets multiplied by r?
Answer:
A. r²
Step-by-step explanation:
The formula for the area of a circle is π r²,
thus the π is multiplied by the r²