You buy butter for $4.04 a pound. One portion of onion compote requires 1.7 oz of butter. How much does the butter for one portion cost? Round to the nearest cent.
Answer:
im pretty sure its 4.04 x 1.7 = 6.868
Round that and its $7.00
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
Please answer this It would mean alot to me.
The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expressions are expressions that have similar value or worth but do not look the same.
Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).
Let's factorise to know whether the expressions are equivalent.
Therefore, using the common factors,
8x + 4y = 4(2x + y)
Hence, the expression are not equivalent .
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can you answer this
Answer:
B. 7ab²c
Step-by-step explanation:
The GCF of 21a²b^4c and 49ab²c³ is
7ab²c
Answer:
The correct answer is b.
I will give a brainlist if someone could answer this problem with a explanation:)
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.
The Ratio of green house to White House’s on Winthrop street is equal to 2 to 3.There are 60 White House’s on Winthrop Street.How many green houses are there?
Answer:20
Step-by-step explanation:
Determine the following probabilities. Enter your final answers as reduced fractions.
A single digit between
0
and
9
is randomly chosen, and a single letter from A to Z is randomly chosen.
Find the probability that the number is
6
and the letter is a consonant.
The probability that the number is 6 and the letter is a consonant is 3/40.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability of choosing the number 6 is 1/10, since there are 10 possible digits to choose from (0 to 9) and each is equally likely to be chosen.
The probability of choosing a consonant from the alphabet depends on the definition of "consonant". If we define consonants as all the letters in the alphabet except for A, E, I, O, and U (i.e., the vowels), then there are 21 consonants in the alphabet.
The total number of letters in the alphabet is 26, so the probability of choosing a consonant is 21/26
To find the probability that the number is 6 and the letter is a consonant, we need to multiply the probabilities of these events occurring independently:
P(number is 6 and letter is a consonant) = P(number is 6) * P(letter is a consonant)
= (1/10) * (21/26)
= 21/260
= 3/40
Therefore, the probability that the number is 6 and the letter is a consonant is 3/40.
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Please help i need to finish this test in lest than an hour
Answer:
−
k
2
2
+
3
k
3
4
Step-by-step explanation:
Find the measurement of m
The measure of the inscribed angle G in the circle is 85 degree.
What is the measure of angle G?An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.
The relationhip between an an inscribed angle and intercepted arc is expressed as:
Inscribed angle = 1/2 × intercepted arc.
Since the circle equals 360 degrees, we can determine the intercepted arc DF.
Hence:
Arc DF = 360 - ( 70 + 120 )
Arc DF = 360 - 190
Arc DF = 170°
Now, plug the value into the above formula:
Inscribed angle = 1/2 × intercepted arc.
Inscribed angle G = 1/2 × 170°
Inscribed angle G = 85°
Therefore, angle G has a measure of 85 degree.
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The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
area: about in 2
Answer:
18.85
Step-by-step explanation:
The area of a circle is A= pi × r² (r being the radius)
The radius is half the diamter so the radius would be 6
Plug 6 into the equation for the radius
A = pi × 6²
A = pi ×36
A= 18.85
A full can of paint contains 4/5 of a gallon. Brandon used 3/4 of a can of paint to paint a doghouse. He then used 2/3 of what remained in the can to paint a door. How much paint is left in the can,in gallons?
Answer:
1/60 gallon
Step-by-step explanation:
You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.
Amount remainingTo find the amount remaining we subtract the amount used for the doghouse from the original amount:
4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon
2/3 of that was used, so 1/3 of it remains:
(1/3)(1/20 gallon) = 1/60 gallon
There is 1/60 of a gallon of paint left in the can.
__
Additional comment
In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.
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I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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Two sisters purchased a car for 17698 if they each paid half how much money did they each pay
Answer: $8,849
Step-by-step explanation: 17,698 divided by two people is 8,849, therefore each sister paid $8,849.
Answer: $8849
Step-by-step explanation: We are given that the total amount both sisters pay is $17698. They each pay for a fraction though. That fraction is 1/2 since they each pay for half. We multiply this fraction by the total which is 17698 to find our answer.
If there were three sisters and they each paid one-third, we would multiply the total price by 1/3 to find our answer.
i need help please
here is the picture
To horizontally compress a function by a factor of 5, we replace x by 5x in the function. Therefore, the new function is: g(x) = √(5x).
What is function?A function is a mathematical object that takes one or more input values (called the domain) and produces a corresponding output value (called the range). In other words, it is a rule that assigns each input a unique output. Functions are commonly represented using algebraic expressions or equations, graphs, tables, or verbal descriptions. They are widely used in mathematics, science, engineering, and many other fields to model and analyze relationships between variables, predict outcomes, and solve problems.
Here,
(a) Reflection about the x-axis:
To reflect a function about the x-axis, we multiply it by -1. Therefore, the new function is: g(x) = -√x.
(b) Reflection about the y-axis:
To reflect a function about the y-axis, we replace x by -x in the function. Therefore, the new function is: g(x) = √(-x).
(c) Horizontal stretch of 5:
To horizontally stretch a function by a factor of 5, we replace x by x/5 in the function. Therefore, the new function is: g(x) = √(x/5).
(d) Horizontal compression of 5:
To horizontally compress a function by a factor of 5, we replace x by 5x in the function. Therefore, the new function is: g(x) = √(5x).
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If y varies inversely as x and y=60 when x=80, find x when y= -20.
An inverse variation is defined as
\(y=\frac{k}{x}\)Where x = 80 and y = 60, let's find k
\(\begin{gathered} 60=\frac{k}{80} \\ k=60\cdot80=4800 \end{gathered}\)Then, we use the constant k to find x when y = -20.
\(\begin{gathered} y=\frac{4800}{x} \\ x=\frac{4800}{y}=\frac{4800}{-20} \\ x=-240 \end{gathered}\)Hence, x is -240.A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
HELP ME NO LINKS I REALLY NEED HELP
Answer:
Mode
Step-by-step explanation:
If you have an outlier, the best way to measure a set of data is the mode, or the number that occurs the most.
Find the value of x that will make
L||M.
2x+5
x-5
x = [?]
Answer:
x = 60
Step-by-step explanation:
For L and M to be parallel then
2x + 5 and x - 5 are same- side interior angles and sum to 180° , then
2x + 5 + x - 5 = 180 , that is
3x = 180 ( divide both sides by 3 )
x = 60
What’s the answer to this?
Answer:
your answers will be options B and E
Step-by-step explanation:
hope this helps have a nice day!!
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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What percentage of the shape is purple?
Write your answer using a percent sign (%).
First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.
3/20
Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.
3/20 = 0.15 x 100 = 15%
Pllzzzz hellppppp
Sandra wants to buy flowers for her garden. The table shows how many flowers she can buy and what they will cost. Determine the rate of change for price in relation to flowers bought
-1)
A) 0.25 per flower
B) $4 per flower
C) $3 per flower
D) $6 per flower
Answer:
The answer is B) $4 per flower
Step-by-step explanation:
12/3=4
24/6=4
48/12=4
Hope this helps
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Which answer choice best represents 3/15?
Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5
The equivalent fraction for the given fraction is 1/5.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 3/15.
The equivalent fraction is 3/15 =1/5
Therefore, the equivalent fraction for the given fraction is 1/5.
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Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Using traditional methods, it takes 100 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 260 students and observed that they had a mean of 99 hours. Assume the standard deviation is known to be 6. A level of significance of 0.01 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places.
The value of the Test statistic =z=-1.67
We have the value of sigma = 6, n = 260
In a hypothesis test, a test statistic—a random variable—is computed from sample data. To decide whether to reject the null hypothesis, you can utilize test statistics. Your results are compared to what would be anticipated under the null hypothesis by the test statistic. The p-value is computed using the test statistic.
Now using the formula of Test static
Test statistic will be: \(\mathrm{z}=\frac{\overline{\mathrm{x}}-\mu}{\frac{\sigma}{\sqrt{\mathrm{n}}}}\\\)
Where, n = total number of sample = 100
\(\bar x\) = mean of the given data
\(\mu\) = total number of hours taken to receive a basic driving licence.
So, putting the value given in the question,
We will get the value of test static as:
\(=\frac{99-100}{\frac{6}{\sqrt{260}}}=-1.67\)
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A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 13% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 204 people on the alumni and supporters mailing lists. They receive monetary contributions from 19 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p=0.13: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.13
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
What is a statistical hypothesis?A statistical hypothesis is usually formulated to test whether there is a significant difference or relationship between two or more variables.
There are two types of statistical hypotheses:
Null hypotheses, which assume that there is no significant difference or relationship between variables
Alternative hypotheses: these assume that there is a significant difference or relationship between variables.
We have,
From the situation given we can create the null and the alternative hypothesis as,
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
i.e
(p ≥ 0.13).
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
i.e
(p < 0.13)
Now,
Mathematically,
H0: p ≥ 0.13
Ha: p < 0.13
Where p represents the true proportion of alumni and supporters who provide monetary contributions.
Thus,
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
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