Answer:
6 batches
Step-by-step explanation:
You take the amount of cups that she has and you divide it by the amount of cups it takes to make a single batch. Hope this helped!
Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
The probability she pulls out a purple piece of candy would be 0.22.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is Sam's fathers collection.
We can write the equations for upstream and downstream as -
x - y = 7/2
x + y = 21/10
Solving the equations graphically -
{x} = 2.8
{y} = 0.7
In still water, the speed would be -
S = 3 - 0.7
S = 2.3 Km/h
Distance peddled upstream -
D = 2.8 x 3.5 = 9.8 Km
Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.
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Please help me if u don’t I will get a bad grade‼️
Given:
The equation is
\(\dfrac{1}{3}x=\dfrac{1}{5}\)
To find:
The coefficient and reciprocal.
Solution:
We have,
\(\dfrac{1}{3}x=\dfrac{1}{5}\)
Here, \(\dfrac{1}{3}\) is multiplied with x.
So, the coefficient of x is \(\dfrac{1}{3}\).
To find the reciprocal, we need to interchange numerator and denominator of a fraction.
So, the reciprocal of \(\dfrac{1}{3}\) is \(\dfrac{3}{1}=3\)
Therefore, the reciprocal is 3.
7. Suppose you begin to work selling ads for a newspaper. You will be paid $50/wk plus a
minimum of $7.50 for each potential customer you contact. What is the least amount of
money you earn after contacting eight businesses in 1 wk?
Answer: 50 Dollars
Step-by-step explanation:
Minimum pay: $50 / week
Bonus: $7.5 or more / Potential Customer
The least amount of money you can earn after contacting eight businesses in 1 week is $50, since there is a possibility none of the eight businesses you contacted is a potential customer.
Feel free to correct me if I'm wrong :)
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Find the second derivative of the function.
Answer
The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).
2.3a+3.5b-1.8a-2.7b simplify. Show work.
Answer:
a = -1.6b
Step-by-step explanation:
Simplifying
2.3a + -1.8a + 3.5b + -2.7b = 0
Combine like terms: 2.3a + -1.8a = 0.5a
0.5a + 3.5b + -2.7b = 0
Combine like terms: 3.5b + -2.7b = 0.8b
0.5a + 0.8b = 0
Solving
0.5a + 0.8b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-0.8b' to each side of the equation.
0.5a + 0.8b + -0.8b = 0 + -0.8b
Combine like terms: 0.8b + -0.8b = 0.0
0.5a + 0.0 = 0 + -0.8b
0.5a = 0 + -0.8b
Remove the zero:
0.5a = -0.8b
Divide each side by '0.5'.
a = -1.6b
Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.
Answer:
\(f\left(5\right) = 43\)
Step-by-step explanation:
Given
\(f\left(x\right)=5x+2\mid11-5x\mid-4\)
Required
Solve for x = -5
This implies that we substitute -5 for x in \(f\left(x\right)=5x+2\mid11-5x\mid-4\)
\(f\left(5\right)=5(-5)+2\mid11-5(-5)\mid-4\)
Open all brackets
\(f\left(5\right) = -25+2\mid11+25\mid-4\)
\(f\left(5\right) = -25+2\mid36\mid-4\)
Absolute value of 36 is 36; Wo, we have:
\(f\left(5\right) = -25+2*36-4\)
\(f\left(5\right) = -25+72-4\)
\(f\left(5\right) = 43\)
During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Amos's free-throw shooting percentage is lower and is only 54.7%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Amos makes when he shoots two free-throw shots.
The number of free throws, and the points he makes has a binomial distribution with the parameters n(amount of free throws) and p(probability to make the free throw).
From the text, those parameters are
\(\begin{gathered} n=2 \\ p=54.7\%=0.547 \end{gathered}\)The expectation of the binomial distribution is given by
\(\mu=np\)Using our values on this formula, we have
\(\mu=2\cdot0.547=1.094\)The expected value of points is 1.094.
PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.
The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm
Calculating the area of the composite figureThe sector area
The area of the sector is calculated as
Area = x/360 * πr²
Where
r² = 8² + 6²
So, we have
r² = 100
This means that
Area = 82/360 * π * 100
Evaluate
Area = 71.55
The triangle area
This is calculated as
Area = 0.5bh
So, we have
Area = 0.5 * 8 * 6
Evaluate
Area = 24
So, the area of the figure is
Figure = 24 + 71.55
Figure = 95.55
Hence, the area is 95.55
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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. If the value of the test statistic is 4.99 what is the conclusion of the test? Use significance level of 1%.
A. proportions have changed significantly
B. proportions have not changed significantly
C. test is inconclusive
D. None of these alternatives is correct.
Answer:
Proportions have not changed significantly ( B )
Step-by-step explanation:
GIVEN DATA :
Test statistic = 4.99
significance level = 1% = 0.01
k ( number of groups ) = 3
will we use the chi-squared test to determine the degree of freedom
which is : k-1 = 3 - 1 = 2
looking at the chi-square table to determine the critical value of the test
at significance level = 0.01 and degree of freedom = 2 the critical value = 9.21
Comparing the test value ( 4.99 ) and the critical value ( 9.21 ) it can seen that the test value < critical value which is a condition for not rejecting null hypothesis of the test.
therefore we won't reject the null hypothesis
Find the slope of the line that passes through (64, -7) and (54, 67).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Sorry im late to this but the other 2 people are correct the answer is -37/5!! :D
Step-by-step explanation:
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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First Prize Bike
Component Weight (kg) Weight (g)
Frame (carbon) 1.07 kg 1070 g
Wheels 1.52 kg 1520 g
Brakes 0.31 kg 310 g
Saddle 0.26 kg 260 g
Pedals 0.18 kg 180 g
Other parts 5.80 kg 5800 g
What is the combined weight of the first prize bike in kg?
kg
The first prize bike’s frame weighs 1070g.
The second prize bike’s frame weighs 75g less.
What is the weight of the second prize bike’s frame in g?
Answer: Give me one moment i will comment on my post with the answer.
Step-by-step explanation:
Express the first quantity as percentage of the second of 45g and 75g
The first quantity (45g) as 60 percentage of second (75g).
What do you mean by Percentage?A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.
To convert the given percentage value in decimal, divide the given value by 100.
For example:
1. 50% in decimal or fraction will be 50/100 = 0.5.
2. 20% in decimal or fraction will be 20/100 = 0.2.
How to calculate Percentage?1. Finding the total amount from which we need to find the percent.
2. Dividing the required amount to find the percentage by total amount.
3. Multiply it by 100.
For example:
1. It rained 10 of the 30 days in April.
Percentage will be 10/30 = (1/3) x 100
Percentage = 33.33%
Here, we have given that:
Total amount = 75g
Required amount for percent = 45g
Now, to find the percentage:
Percentage = 45/75
Percentage = 0.6 x 100
Percentage = 60%
Hence,
The first quantity (45g) as 60 percentage of second (75g).
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3.The following are real data from Santa Clara County, CA. As of a
certain time, there had been a total of 3,059 documented cases of
AIDS in the county. They were grouped into the following categories:
Homosexual IV Drug User* Heterosexual Contact Other
Female 0 70 136 49
Male 2,146 463 60 135
Suppose a person with AIDS in Santa Clara County is randomly
selected.
(i) Find P (Person is female). (2 Marks)
(ii) Find P (Person has a risk factor heterosexual contact). (2 Marks)
(iii) Find P (Person is female OR has a risk factor of IV drug user (2 Marks)
(iv) Find P (Person is female AND has a risk factor of homosexual) (2 Marks)
(v) Find P (Person is male AND has a risk factor of IV drug user) (2 Marks)
(vi) Find P (Person is female GIVEN person got the disease from
heterosexual contact) (2 Marks)
(v)Construct a Venn diagram. Make one group females and
the other group heterosexual contact. (3 Marks)
Given the data mentioned in the table, the following calculations must be performed to obtain the requested probabilities:
I.-
(0 + 70 + 136 + 49) / (2,146 + 463 + 60 + 135 + 0 + 70 + 136 + 49) = X
255/3059 = X
0.0833 = X
II.-
196/3059 = X
0.0640 = X
III.-
(255 + 463) / 3059 = X
718/3059 = X
0.2347 = X
IV.-
0/3059 = X
0 = X
V.-
463/3059 = X
0.1513 = X
VI.-
136/196 = X
0.6938 = X
Therefore, I) the probability that the person is female is 8.33%, II) the probability that the person has a risk factor heterosexual contact is 6.40%, III) the probability that the person is female or has a risk factor of IV drug user is 23.47%, IV) the probability that the person is female and has a risk factor of homosexual is 0%, V) the probability that the person is male and has a risk factor of IV drug user is 15.13%, and VI) the probability that the person is female given that the person got the disease from heterosexual contact is 69.38%.
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write a definition for a unite rate
Answer:
Step-by-step explanation:
I wish I knew
The manufacturer of Derrick’s car states that the car should get 25 miles per gallon of gas. Derrick plans to drive 400 miles. He used the equation 400=25g to determine g, the number of gallons of gas he needs for the trip. What value of g makes this equation true?
a. 375
b. 100
c. 20
d. 16
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
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Input Signals: P = 0 and Q = 1.
The output of the OR gate will be 1.
What is a NOT Gate?An important component for electronics and computing, the NOT gate or inverter is a basic digital logic gate. It is designed with one input and output that conduct logical negation.
Essentially, this means it turns the input signal to its opposite. When given an input binary value at "1," the method generates "0" as the output and vice versa.
Two input signals, P=0 and Q=1, are subjected to the following process. The message carried by Q is inverted via a NOT gate using its negation feature, returning Q' = 0 at its output.
The resultant value of Q' (evaluated as zero), is then processed using an OR logic operation along with input P into another gate. Outputs from an OR port may only produce "1" if any of the input signal(s) carry a 1. As one of the inputs from this specific procedure provides "0", the result will inevitably be "1".
Consequently, a final analysis reveals that regardless of what the initial value for P was, the result obtained formulating the two signals through a NOT and OR devices matches an outcome of "1".
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the average age of four men is 40. If the sum of the ages of three of them is 115, what's the age of the fourth man?
Answer:
35
Step-by-step explanation:
if 1 man is 37
and 1 man is 43
the 3rd man is 45
they add to 115
to average 40, we gotta add 35
this old mans giving u that!
helphelphelphelp
i need help quick
whoever answers this first..
i will give them 100 points
Answer:
Decreased by 19%.
-------------------------------
Decrease by of x 10% can be shown as a product of x and:
100% - 10% = 90% = 0.9Same applies to the second decrease, then we get a final number:
x*0.9*0.9 = 0.81 xIt represent a one off decrease of:
1 - 0.81 = 0.19 = 19%Hence the answer is 19%.
Answer:
19%
Step-by-step explanation:
let's start from 100 and remove 10%100 - 100/10 = 90
let's take 10% off again90 - 90/10 = 91
find the difference between 100 and 81100 - 81 = 19%
for a better understanding look at the figure
U
1
2.
3
4.
LO
What is the highest common factor (HCF) of 72 and 96?
1
Answer:
HCF of 72 and 96 is 24
Step-by-step explanation:
What is the highest common factor (HCF) of 72 and 96
HCF
Highest Common factor(HCF) is the biggest number that is divisible by both numbers.
First we will write prime factors of both 72 and 96
72: 2x2x2x3x3
96: 2x2x2x2x2x3
Now, writing the common factors: 2x2x2x3
Multiplying them we get: 24
So, HCF of 72 and 96 is 24
In a race, there are 20 runners. Trophies for the race are awarded to the runners
finishing in first through fourth place.
In how many ways can first through fourth place by determined?
Answer:
116,280 ways
Step-by-step explanation:
Because your finish place is mutually exclusive (if you come in first you cant come in second, if you come in second you cant come in third, etc) you have to decrease the amount of runners for each place.
20 runners can get first
19 for second
18 for third
17 for fourth.
To find out the total amount of possibilities you multiply each amount. 20 x 19 x 18 x 17 = 116,280.
I hope this helps!
-TheBusinessMan
In each diagram, line f is parallel to line g, and line t intersects lines f and g
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
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What is 7/8 as a number?
The value of the fraction 7/8 is 0.875
Fraction:
In math, a numerical value that expresses a part of a whole is known as fraction.
The standard form of the fraction is written as,
=> a/b
where a refers the numerator and b refers the denominator.
And the value of b is greeter than zero.
For example, 5/3 is a fraction.
Given,
Here we need to find the value of the fraction 7/8.
We know that,
=> 7/8
is the same as
=> 7÷8
Then by using Long Division for 7 divided by 8 and rounding to a Max of 3 Decimal Places gives us
=> 0.875
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What is the conversion for m/s to km/h ?
Answer:
3.6km/hr
Step-by-step explanation:
What is the conversion for m/s to km/h ?
According to the conversion
1m = 0.001km
1s = 1/3600 hr
m/s to km/hr = 0.001/(1/3600)
= 0.001×3600
= 3.6
Hence the conversion is 3.6km/hr
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Simplify the rational expression
7x/14x^6
The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)
To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).
So, we can rewrite the denominator as
\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)
Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)
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Question 1
34 pts
Identify the type of data that would be used to describe a response for the question, "What is your
favorite movie?"
O quantitative discrete
O quantitative continuous
O qualitative
Question 2
33 pts
Answer: C) Qualitative
The response isn't a numeric value, but rather a name instead. So that's why we have qualitative data here. Specifically, it is nomimal as it deals with names or labels. The data is not ordinal as we cannot sort the labels.