The product of 32 multiplied by 17 is 544. However, in this scenario, Jess's model produced an incorrect result for this multiplication. It is crucial to identify and rectify the mistake in order to obtain the accurate product.
To understand the discrepancy in Jess's model, let's examine the possible reasons behind the incorrect output. One possible explanation could be an error in the multiplication process itself. Jess might have made a mistake while multiplying 32 and 17, leading to an incorrect result.
Multiplication involves multiplying each digit of the multiplicand (32) by each digit of the multiplier (17) and then summing up the partial products. However, if Jess made a calculation error during this process, it could have resulted in the wrong product.
Let's break down the multiplication step by step to determine the correct product of 32 and 17:
32
x 17
------
64 (2 x 7)
320 (2 x 10 x 1)
------
544
As shown in the calculation above, multiplying the units digits (2 and 7) gives us 14, which we write as 4 and carry over the 1. Then, multiplying the tens digit of the multiplicand (3) by the multiplier (17) gives us 51, but we add the carried-over 1, resulting in 52. We write down the 2 and carry over the 5. Finally, we multiply the hundreds digit of the multiplicand (0) by the multiplier, which gives us 0. Adding up the partial products, we obtain the correct product of 544.
Therefore, it is evident that Jess made a mistake in her model, resulting in an incorrect product for the multiplication of 32 and 17. It is essential to double-check calculations to ensure accuracy and prevent such errors. By rectifying the mistake and following the correct multiplication process, we obtain the accurate product of 544 for 32 multiplied by 17.
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2 plus 2 - 6 plus 55 times 2
Answer:
108
Step-by-step explanation:
When multiplying fractions, you first start with the two fractions you want to multiply. You multiply the numerators (the top numbers) together, and then multiply the denominators (the bottom numbers) together.
bye im tyler
Need help please thank you
Answer:
3
Step-by-step explanation:
RS + ST will equal RT.
So, 2 + 3x must equal 5x.
2+3x = 5x
2 = 2x
x = 1
ST = 3x
ST = 3*(1)
ST = 3
An environmental agency is analyzing water samples from 80 lakes for pollution. Five of the lakes have dangerously high levels of dioxin. Six lakes are randomly selected from the sample. Using technology, how many ways could one polluted lake and five non-polluted lakes be chosen?
There are 658,008 ways to choose 5 non-Polluted lakes from the remaining 79 lakes.
To determine the number of ways to choose one polluted lake and five non-polluted lakes from a sample of 80 lakes, we can use the concept of combinations.
The total number of ways to choose a group of lakes from a larger set is given by the formula for combinations, which is denoted as "n choose r" and calculated as:
C(n, r) = n! / (r!(n-r)!)
Where n represents the total number of lakes and r represents the number of lakes to be chosen.
In this case, there are 80 lakes in the sample and we want to choose 1 polluted lake and 5 non-polluted lakes. Therefore, we have:
n = 80 (total number of lakes)
r = 1 (number of polluted lakes to be chosen)
Using the combination formula, we can calculate:
C(80, 1) = 80! / (1!(80-1)!)
= 80! / (1! * 79!)
= 80
So there are 80 ways to choose 1 polluted lake from the sample of 80 lakes.
Next, we want to choose 5 non-polluted lakes from the remaining 79 lakes (after choosing 1 polluted lake). Using the combination formula again:
C(79, 5) = 79! / (5!(79-5)!)
= 79! / (5! * 74!)
= 79 * 78 * 77 * 76 * 75 / (5 * 4 * 3 * 2 * 1)
= 658,008
Therefore, there are 658,008 ways to choose 5 non-polluted lakes from the remaining 79 lakes.
To find the total number of ways to choose one polluted lake and five non-polluted lakes, we multiply the number of ways for each category:
Total number of ways = 80 * 658,008
= 52,640,640
Hence, there are 52,640,640 ways to choose one polluted lake and five non-polluted lakes from the given sample of 80 lakes.
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What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct fac
The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.
When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."
To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."
As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."
It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.
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Solve the inequality -2n > -6
A. n>3
B. n>-3
C. n<3
D. n=3
A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each
Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
Fixed costs= 4,000 + 10,000= $14,000
Unitary variable cost= $5.5
Selling price= $7.2
To calculate the number of units to be sold to break-even, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 14,000 / (7.2 - 5.5)
Break-even point in units= 8,235 units
In dollars:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 14,000 / (1.7/7.2)
Break-even point (dollars)= $59,294
Now, imagine the company requires a profit of $50,000:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= 64,000/1.7
Break-even point in units= 37,647 units
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= 64,000 / (1.7/7.2)
Break-even point (dollars)= $271,059
I NEED HELP PLEASE, THANK YOU! :)
Answer: b) ±1, ±2, ±7, ±14, ±1/3, ±2/3, ±7/3, ±14/3
Step-by-step explanation:
The possible rational roots are all of the factors of P (coefficient of last term) divided by each of the factors of Q (coefficient of first term).
-3x⁴ - 9x³ - 6x² - 8x + 14
\(\dfrac{P}{Q}=\dfrac{factors\ of\ 14}{factors\ of\ 3}=\pm \dfrac{1,2,7,14}{1,3}\\\\\\=\pm \bigg\{\dfrac{1}{1},\dfrac{2}{1},\dfrac{7}{1},\dfrac{14}{1}, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}\\\\\\=\pm \bigg\{1, 2, 7, 14, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}\)
which of the following null hypothesis statistical tests require calculating degrees of freedom? group of answer choices all of the above two-sample t-test chi-squared one-sample t-test
The two null hypothesis that are correct answer are two-sample t-test and one-sample t-test.
Among the group of answer choices provided, the tests that require calculating degrees of freedom are the two-sample t-test and the one-sample t-test. Both of these tests belong to the t-test family and involve using degrees of freedom to determine the critical t-value.
In summary:
- Null hypothesis: The assumption that there is no significant difference between the sample and population or between two samples.
- T-test: A statistical test used to determine if there is a significant difference between the means of two groups or between a sample and population mean.
- Degrees of freedom: A value used in statistical tests that represents the number of independent values in a data set, which can affect the outcome of the test.
So answer is: two-sample t-test and one-sample t-test.
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The null hypothesis statistical tests that require calculating degrees of freedom are the two-sample t-test and the one-
sample t-test. The degrees of freedom are necessary to calculate the t-value for these tests. The chi-squared test also
requires degrees of freedom, but it is not a test for a null hypothesis.
The correct answer is: all of the above.
All these tests require calculating degrees of freedom:
1. Two-sample t-test:
Degrees of freedom are calculated using the formula (n1 + n2) - 2, where n1 and n2 are the sample sizes of the two
groups being compared.
2. Chi-squared test:
Degrees of freedom are calculated using the formula (rows - 1) * (columns - 1), where rows and columns represent the
number of categories in the data.
3. One-sample t-test:
Degrees of freedom are calculated using the formula n - 1, where n is the sample size.
The null hypothesis statistical tests that require calculating degrees of freedom are the two-sample t-test and the one-
sample t-test. The degrees of freedom are necessary to calculate the t-value for these tests. The chi-squared test also
requires degrees of freedom, but it is not a test for a null hypothesis.
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define the term of mathematics ?
Answer:
it is the abstract science of number, quantity and space, either as abstract concept
Robin spent $ 28 at an amusement park For admission and rides. If she paid $6 for admission and rides cost $2 each what is the total number of rides that she went on
Answer:
11 rides
Step-by-step explanation:
let the total amount be y
and let the number of ride be x
the expression for the situation is y=mx+c
given
total amount=$28
admission fee= $6
cost per ride=$2
we are expected to find x
substitute into the expression we have
28=2x+6
28-6=2x
22=2x
divide boths sides by 2 we have
x=22/2
x=11
the number of rides is 11
Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food
Answer:
$0.25
Step-by-step explanation:
We can use System of Equations to find out how much a can of cat food costs.
Let's use variables to represent the cat food and dog food:
x = cost of 1 cat food can
y = cost of 1 dog food can
Here are our 2 equations based on the scenarios in the question:
4x + 3y = 1.99
4x + y = 1.33
Now let's set the second equation to y using basic algebra:
4x + y = 1.33
y = -4x+1.33
And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:
4x + 3y = 1.99
4x + 3(-4x+1.33) = 1.99
4x + -12x+3.99 = 1.99
-8x + 3.99 = 1.99
-8x = -2
x = 1/4
x = 0.25
1 can of cat food costs $0.25
Hope that helps (●'◡'●)
Answer:
.25
Step-by-step explanation:
set up equations
1)4c+3d=1.99
2)4c+d=1.33
Method of use:Elimination
4c+3d=1.99
- (4c+d)=-(1.33)
___________
=2d=.66
divide by two on both sides to get .33 for d.
plug in
4c+.33=1.33
subtract .33 on both sides
4c=1
divide by four on both sides to get c
c=1/4 or .25
f(x)=x^4−19x^3+135x^2+2 - Fias the toe crical nambers a,b of f′ (that is. the values at which f′′′ is zero or undetined) and lat thoir euact values in the fiet colume of the tibie below (n ancendeng order, a
Local Minima is 5 and 80
The critical numbers, a and b, of f'(x)=x^4−19x^3+135x^2+2 can be found by setting the derivative f'(x) = 0 and solving for x.
The derivative is: f'(x) = 4x^3 − 57x^2 + 270x
By setting the derivative equal to 0, we get:
4x^3 − 57x^2 + 270x = 0
Solving for x, we get:
x = 0, x = 5, x = 9
The critical numbers of f'(x) are 0, 5 and 9. The second derivative f''(x) is undefined at x = 0, so this is a local maximum point, while x = 5 and 9 are local minimum points.
Table:
Critical number | Second derivative (f''(x)) | Value
0 | Undefined | Local Maximum
5 | -80 | Local Minimum
9 | 80 | Local Minimum
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I'm a surgery 9 out of 15 students named math as their favorite subject. Express this rate as a decimal
WILL LIST BRANLIEST
Answer:
0.6
Step-by-step explanation:
9÷15=0.6
you are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats. you sample 160 men, and 50% own cats. you sample 140 women, and 25% own cats. find the test statistic, rounded to two decimal places.
Therefore, the test statistic is approximately 5.54 (rounded to two decimal places).
To find the test statistic for comparing the proportions of men and women who own cats, we can use the formula for the test statistic for two independent proportions:
test statistic = (p₁ - p₂) / √[(p(1 - p) / n₁) + (p(1 - p) / n₂)]
where:
p₁ and p₂ are the sample proportions for men and women, respectively,
p is the pooled sample proportion,
n₁ and n₂ are the sample sizes for men and women, respectively.
Given:
Sample size for men (n₁) = 160
Proportion of men who own cats (p₁) = 0.50 or 50% (converted to decimal)
Sample size for women (n₂) = 140
Proportion of women who own cats (p₂) = 0.25 or 25% (converted to decimal)
First, calculate the pooled sample proportion:
p = (x₁ + x₂) / (n₁ + n₂)
where x1 and x2 are the number of men and women who own cats, respectively.
x₊₁ = p₁ * n₁
= 0.50 * 160
= 80
x₂ = p₂ * n₂
= 0.25 * 140
= 35
p = (80 + 35) / (160 + 140)
= 115 / 300
= 0.3833
Now, substitute the values into the formula for the test statistic:
test statistic =(p₁ - p₂) / √[(p(1 - p) / n₁) + (p(1 - p) / n₂)]
= (0.50 - 0.25) / √[(0.3833 * (1 - 0.3833) / 160) + (0.3833 * (1 - 0.3833) / 140)]
≈ 0.25 / 0.0451
≈ 5.54 (rounded to two decimal places)
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14
Nadia was considering two different vacation packages. For each, she wrote a linear equation
to model the cost of airfare and'n nights in a hotel. She graphed the corresponding lines and
found the two packages cost the same only when the vacation includes 5 nights in a hotel.
Which statement about Nadia's graph must be true?
AThe lines are parallel.
BThe lines are not parallel.
CThe x-intercepts are the same.
D The y-intercepts are the same.
Answer:
Step-by-step explanation:Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?
Partial Derivative Applications, Vectors and Matrices
If z = F(u, v, w) where u = r 2 , v = −2s 2 , and w = lnr + lns,
find ∂z/∂r and ∂z/∂s.
The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
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5 x 5^2 leaving answer in index notation
In multiplication, the exponents add up.
5.5²=5¹.5²=5³
Note:
In the extraction ,the exponents remove.
5¹⁰÷5³=5⁷
Answer:
5³
Step-by-step explanation:
Using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
Given
5 × 5²
= \(5^{1}\) × 5²
= \(5^{(1+2)}\)
= 5³ ← in index form
= [ 125 ]
Evaluate the indefinite integral. ſt-513dt 125t + c o -50% - 70,2 - 1250+ c O 312 - 30t + 75 +6 04 - 157° + 75t? - 125+ + C
The initial expression is:
\(\int (t-5)^3\text{ dt}\)First we can expant cube so:
\(\int t^3-15t^2+75t-125\)and now we can integrate so:
\(\frac{t^4}{4}-5t^3+\frac{75t^2}{2}-125t+C\)So is option B
this is my last set of questions if anyone could get them all completed I have 15 points on it If you could add a small explanation so I can learn from it really appreciate it :) brainliest for anyone who does all 3 questions
Answer:
832.5
A unit rate is a rate with 1 in the denominator.
the mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. the standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately normally distributed. 4% of the time, the bolt is inserted in less than which time value? round to the nearest whole number.
4% of the time, the bolt is inserted in time less than 8 minutes.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
If the probability is 4%, then, using the z-table, the z-score would be -1.75287.
at p = 0.04 z = -1.75287
Using the formula for finding the z-score, solve for the data value, x.
z-score = (x – μ) / σ
where x = individual data value
μ = mean = 15
σ = standard deviation = 4.0
-1.75287 = (x - 15) / 4.0
x - 15 = -7.01148
x = 7.98852
Round off to the nearest whole number.
x = 8
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Find the value of x in the triangle shown below.
Answer: x=25
Step-by-step explanation: There are 180 degrees in a triangle. Two of the angles (56 and 99) add up to 155. The last angle, which is x, is 180-155. Therefore, x is 25.
hope this helped you:)
Answer:
The answer is 25°.
Step-by-step explanation:
simply,
here, a triangle of measure 99° and 56° is given.
now, we have;
99°+56+ x= 180° ( sum of an interior angle of a triangle is 180°)
or, 155°+x= 180°
or, x= 180°-155°
therefore, the value of x is 25°.
hope it helps..
8, 14, 13, 10, 17, standard deviation
Answer:
Step-by-step explanation:
gh dsug
Can someone pls help me out
Answer:
The answer is 8.
Step-by-step explanation:
If you multiply each of the measurments by 1.5 they equal the measurments on the larger trapazoid. I can't see the full question but im assuming It's asking for the measurment (2x-16). So 12 divided by 1.5 equals 8. And to get eight you replace x with 4. Hope I helped. :)
\(\\ \sf\longmapsto \dfrac{2x-16}{12}=\dfrac{12}{18}\)
\(\\ \sf\longmapsto \dfrac{x-8}{6}=\dfrac{2}{3}\)
\(\\ \sf\longmapsto 3(x-8)=12\)
\(\\ \sf\longmapsto 3x-24=12\)
\(\\ \sf\longmapsto 3x=36\)
\(\\ \sf\longmapsto x=12\)
100 points five stars a thank you, dont need to awnser first. i will repeat this question every 3 and a half minutes. ive got nine hundred points to burn
Answer:
thx
Step-by-step explanation:
A bag of mangoes has a total mass of 56kg. If the average mass of a mango is 13/5 kg, find the number of mangoes in the bag. (Ignore the mass of the bag).
Answer:
About 22 mangoes.
Step-by-step explanation:
If we need to find the number of mangoes in a bag, and we have the total mass of the bag, and the average mass of a mango...
Total mass / Average mass = Number of mangoes
56kg / 13/5 kg = n
We can divide the fraction by flipping it and multiplying...
\(\frac{56}{1} /\frac{13}{5} = \frac{56}{1} *\frac{5}{13} \\\\56*5 / 13 \\\\280 / 13 = 21.54\)
Because there are probably only whole mangoes in the bag, 21.5 is rounded up to 22 mangoes.
If a precise answer is necessary than stick with 21.54
R(9, 7) and S(3,9) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M=
Answer:
MP=(6,8)
Step-by-step explanation:
\(MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{9+3}{2} )(\frac{7+9}{2})\\MP= (\frac{12}{2} )(\frac{16}{2} )\\MP= (6,8)\)
A recipe for a batch of blueberry muffins calls for 3 5 cup of blueberries. If Riley wants to make 1 2 a batch of muffins for herself and her tennis partner, how many cups of blueberries will she need?
Answer:
3/10
Step-by-step explanation:
you do 3/5 times 1/2 which is 3/10
half of 3/5 is 3/10
hope this helps
correct me if this is wrong
Which of the following could be used to solve the triangle below?
Answer:
sine
Step-by-step explanation:
1. what is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant height, s?
3. Now that you have the height of the cone, how can you solve for the slant height, s?
1. The height of the cone is equal to
2. You can solve for the slant height, s by applying Pythagorean's theorem.
3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
8792 = 1/3 × 3.14 × 20² × h
26,376 = 3.14 × 400 × h
Height, h = 26,376/1,256
Height, h = 21 mm.
Question 2.
In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.
Question 3.
By applying Pythagorean's theorem, we have the following:
r² + h² = s²
20² + 21² = s²
400 + 441 = s²
s² = 841
Slant height, s = √841
Slant height, s = 29 mm.
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helppppppppppppppppppp?
Answer:
Angle NOR is also 129 im pretty sure,
Step-by-step explanation:
NOR and SRO are equivalent.
Answer: chst m3 ill help will more
Step-by-step explanation: