Answer:
A.)
Step-by-step explanation:
15 multiplied by 14 is the total number of women’s players.
14(m) is our unknown amount of men’s teams
Which has to be less than the amount of players who can register 476
What is the slope of the following line?
Answer:c, the answer is c
Step-by-step explanation:
James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
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Given f(x) = 1/x+4 and
g(x) = 8/x-1, find the given domain of f(g(x)).
Answer:
he domain of the composition is all real x values except for x = -1
In other words: \(\left \{ x \, |\, x \neq -1} \right \}\)
Step-by-step explanation:
Let's find the composition \(f(g(x))\) in order to answer about its domain (where on the Real number set the function is defined), give the two functions:
\(f(x)= \frac{1}{x+4}\) and \(g(x)=\frac{8}{x-1}\) :
\(f(g(x))=\frac{1}{g(x)+4} \\f(g(x))=\frac{1}{\frac{8}{x-1} +4} \\f(g(x))=\frac{1}{\frac{8+4(x-1)}{x-1} }\\f(g(x))=\frac{x-1}{8+4x-4} \\f(g(x))=\frac{x-1}{4+4x} \\\)
This rational function is defined for every real number except when the denominator adopts the value zero. Such happens when:
\(4+4x=0\\4x=-4\\x=-1\)
So the domain of the composition is all real x values except for x = -1
On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
Michael drives 660 miles in 10 hours. What is his average rate of speed in miles per hour (unit rate)?
A: 92 miles per hour
B: 35 miles per hour
C: 6 miles per hour
D: 66 miles per hour
Answer:
D
Step-by-step explanation:
He goes 66 MPH because 66 times 10= 660 MPH
Hopefully this helps!
According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment
(b) Find and interpret the probabdity that exadly 15 flights are on time.
(c) Find and interpret the probability that fewer than 15 flights are on time.
(d) Find and interpret the probability that at least 15 flights are on time.
(e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. Each trial depends on the previous trial
B. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
C. The experiment is performed unti a desired number of successes is reached
D. The trials are independent.
E. The probability of success is the same for each trial of the experiment.
F. There are two mutually exclusive outcomes, success or failure.
G. The experiment is performed a fixed number of times.
Answer:
See the answers below. Thanks!
Step-by-step explanation:
(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."
(b). P(X=15) = 0.1702
(c). P(X<15) = 0.0673
(d). P(X>=15) = 1 - P(X<15) = 0.9327
(e). P(13<=X<=15) = 0.1482
Best Regards!
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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q is euidistant fromt he of tsr. find the value of x. the diagram is not to scale. 3x+18=24
x=2
hope this helped
write an expression in simplest form 3x x+10 2x+2 and 5x
I'm not sure how many equations you are asking for, but hopefully, you can use what I wrote here to solve your actual question. Here is my go:
3x+10+2x+2+5x
First, add all the x's together:
3x+2x+5x=10x
Next, add all our numerals together:
10+2=12
Put it together!
10x+12
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.answer this question
Answer:
The smallest angle in this quadrilateral is 36°.
Step-by-step explanation:
\(x + 2x + 3x + 4x = 360\)
\(10x = 360\)
\(x = 36\)
So x, the smallest angle in this quadrilateral, is 36°.
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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Need help on this question
Answer is:
//
300x15%=45
Find the area of the polygon. help pleasee
Answer:
Jdhbdzbzvdksksskdjdjhdjdjdjjdjdjjfnfndjffjdjxbbx jasjsjs hahahas
Step-by-step explanation:
In a packet of stickers there are 15 small stars, 7 big stars, 9 small rockets, and 6 big rockets. Kevin is going to choose one of these stickers from the packet at random to put on his artwork. What is the probability that the sticker Kevin chooses is small or is a star?
Answer:
31/37
Step-by-step explanation:
There are 15 + 7 + 9 + 6 = 37 total stickers. Of those, 15 + 9 = 24 are small and 15 + 7 = 22 are stars. However, there are 15 small stars so 24 - 15 = 9 of them are only small and 22 - 15 = 7 are only stars. This means that there are 15 + 9 + 7 = 31 stickers that are small or stars, therefore the probability is 31/37.
hii! could someone help with this?
The projected cash receipts for April and the projected cash receipts for May can be found to be:
April - $187, 500May - $206, 250How to find the projected cash receipts?The projected cash receipts in April would be:
= ( 25% x Projected sales for April ) + ( 75% x Projected sales for March)
= (25% x 210, 000) + ( 75% x 180, 000)
= 52, 500 + 135, 000
= $187, 500
The projected cash receipts for May is then:
= ( 25% x Projected sales for May ) + ( 75% x Projected sales for April )
= ( 25% x 195, 000) + ( 75% x 210, 000)
= $ 48, 750 + 157, 500
= $206, 250
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If AB=8x+2 and BC=4x+18 find AC
We get that value of AC after adding AB and BC as 12 x + 20.
We are given that:
AB = 8 x + 2 and BC = 4 x + 18
We need to find AC.
For this, we will add AB and BC.
Adding AB and BC, we get that:
AB + BC = AC
Substituting the values of AB and BC in the equation which are given to us:
AC = 8 x + 2 + 4 x + 18
Combining the like terms, we get that:
AC = 12 x + 20.
Therefore, we get that value of AC after adding AB and BC as 12 x + 20.
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(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES
help please!!!!!!!!!!
Answer:
The interval from -12 to -7
The interval from 6 to 12.
Step-by-step explanation:
The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)
Here is the equation:
log(x² - 81) = 0.47712
This can be expressed in exponential form:
x² - 81 = 10^(0.47712)
x² = 81 + 3.02343
x² = 84.02343
x ≈ ± 9.1658
The answers are therefore x -9.1658 and x 9.1658.
These intervals are where these solutions occur:
The answer, x -9.1658, can be found in the range from -12 to -7.
- The answer x = 9.1658 is found in the range of 6 to 12.
The appropriate choices are:
- The range between -7 and -12; - The range between 6 and 12.
Need help pleaaasseee
By using chi-squared test, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.
What is chi-squared test?
To perform a chi-squared test for independence between breed and milk yield, we need to set up the hypotheses:
Null hypothesis: There is no association between breed and milk yield.
Alternative hypothesis: There is an association between breed and milk yield.
We will use a significance level of 0.05.
To calculate the expected counts for each cell, we will use the formula: (row total x column total) / grand total.
The observed counts and expected counts are:
The grand total is 100.
The degrees of freedom for the test are (number of rows - 1) x (number of columns - 1) = (2 - 1) x (3 - 1) = 2.
Using a chi-squared distribution table or calculator, we find the critical value for a chi-squared test with 2 degrees of freedom and a 0.05 significance level to be 5.99.
To calculate the test statistic, we use the formula:
chi-squared = \(sum((observed\ count - expected\ count)^2 / expected\ count)\)
The calculated value of chi-squared is:
\(chi-squared = ((32-25.76)^2 / 25.76) + ((20-19.04)^2 / 19.04) + ((16-13.20)^2 / 13.20) + ((10-16.24)^2 / 16.24) + ((18-18.96)^2 / 18.96) + ((4-4.80)^2 / 4.80) = 10.92\)
The degrees of freedom for the test are 2, and the critical value is 5.99.
Since the calculated value of chi-squared (10.92) is greater than the critical value (5.99), we reject the null hypothesis.
Therefore, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.
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it’s a -10 btw and a positive 9
Answer: -1 and -9
Step-by-step explanation:
(- 1) + (-9) = -10
(-1) * (-9) = +9
hope this helps!
Choose the most reasonable unit of measure.
3) Area of a baseball infield: 925
A) mm² B) km² C) m² D) cm²
4) Area of a lake: 4
A) mm² B) km² C) m² D) cm²
5) Area of a door: 20
A) yd² B) in.² C) ft² D) mi²
The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).
3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units \(cm^2\) or \(mm^2\) where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.
4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.
5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.
Therefore the correct answers question-wise are:
3) \(m^2\)
4) \(km^2\)
5) \(in^2\)
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PLEASE ANSWER ASAP I WILL MARK BRAINLIEST WHEN ANSWERING PLZ PUT ANSWER IN ORDER PLS THANK YOU :)
1.) Dana has 5 times as many french fries as Abdullah and Abdullah has twice as many French Fries as Jonathan. If they have 26 French Fries all together, how many does Dana have? ALSO
2.) After finishing their fries, they pooled all their money to buy as much soda as they could. Dana had $5.12. Abdullah had $2.77 and Jonathan had only $4. If soda is $1.99 for a 2-liter bottle, how many bottles could they purchase?
Answer:
Dana has 20 French fries.
They can purchase 5 bottles.
Step-by-step explanation:
1.
Let x rep. the amount of French fries Johnathan has.
Let 2x rep. the amount of French fries Abdullah has.
Let 10x rep. the amount of french fries Dana has.
If :
x+2x+10x=26
13x=26
x=2
So Johnny boy has 2 french fries which means Dana has 10 times as much as that.
10(x)=10(2)
10x=20
Therefore Dana has 20 French fries.
2.
Well
5.12+2.77+4=$11.89
11.89/1.99= APPROX. 5.9
Note you can't buy a fraction of a bottle. We gotta round down for this question cause you can't just give less amount of cash to get an extra bottle even if it's very close. Unless your teacher said to round something.
Therefore they can only purchase 5 bottles.
Is it the 2nd and 3rd one? I don't entirely understand
Answer:
Statements 1, 2, or 4 each imply a rectangle. Check all three.
Step-by-step explanation:
A bakery sells 12 gourmet orange zest cupcakes for $36.00. Select all the statements that are true.
Since this bakery sells 12 gourmet orange zest cupcakes for $36.00, all the statements that are true include the following:
A. $3.00/1 is a unit rate for the cost per cupcake.
B. Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
C. 36/12 represents the ratio of $36.00 for 12 cupcakes.
How to determine all of the true statements?First of all, we would determine the unit rate for the cost per cupcake by using the following mathematical expression;
Unit rate = Cost of cupcake/number of cupcakes
Substituting the given parameters into the unit rate formula, we have the following;
Unit rate = $36.00/12
Unit rate = $3.00.
This ultimately implies that, the unit rate for the cost per cupcake is equal to $3.00.
Note: 1 dozen is equal to 12 pieces.
For the cost of 2 dozen cupcakes, we have the following:
Cost of 2 dozen cupcakes = 12 × 2 × 3
Cost of 2 dozen cupcakes = $72.00.
For the cost of 8 cupcakes, we have the following:
Cost of 8 cupcakes = 8 × 3
Cost of 8 cupcakes = $24.00.
For the cost of 6 cupcakes, we have the following:
Cost of 6 cupcakes = 6 × 3
Cost of 6 cupcakes = $18.00.
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Complete Question:
A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.
$3.00/1 is a unit rate for the cost per cupcake.
Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.
36/12 represents the ratio of $36.00 for 12 cupcakes.
Using the same rate, it would cost $24.50 for 8 cupcakes.
Using the same rate, the bakery can sell 6 cupcakes for $20.00.
Select the correct answer. Rewrite the following expression.
The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).
How to solve an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
Therefore, let's rewrite the expression to it's equivalent expression.
An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.
Therefore, using indices rule
\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)
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i need a bit of help here
The angle m∠BAC is 54 degrees.
How to find an arc angle?If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore, let's find the angle BAC.
Hence,
10x + 4 = 1 / 2 (12x + 15 + 9x - 12)
10x + 4 = 1 / 2 (21x + 3)
10x + 4 = 10.5x + 1.5
10x - 10.5x = 1.5 - 4
-0.5x = -2.5
divide both sides by -0.5
x = -2.5 / -0.5
x = 5
Therefore,
m∠BAC = 10(5) + 4
m∠BAC = 50 + 4
m∠BAC = 54 degrees
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Which value of x makes this equation true? -3x+10=5x-8
Answer:
x= 2.25
Step-by-step explanation:
-3x +10= 5x -8
Bring all x terms to 1 side, constants to the other:
5x +3x= 10 +8
8x= 18
Divide both sides by 8:
x= 18 ÷8
x= 2.25
∴ The value of x is 2.25 to make the equation to be true.
find the range of this equation
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
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