To find out how many visitors Jackson's Ice Cream Shop needs on Saturday to make a profit for the week, we need to first calculate the total number of visitors for the six days already given in the table. Then we can find out the number of visitors needed on Saturday to reach the required mean of 110 visitors per day for the week.
Total number of visitors for the six days = 63 + 77 + 121 + 96 + 137 + 154 = 648
To make a profit for the week, the total number of visitors for the entire week needs to be:
110 visitors/day × 7 days/week = 770 visitors/week
We already have 648 visitors for the six days, so the number of visitors needed on Saturday to make a profit can be found by subtracting the total number of visitors already counted from the total number of visitors needed for the week:
770 - 648 = 122
Therefore, the answer is (C) 122 visitors on Saturday are needed to make a profit for the week.
I would be rally thankful if you help
The matrix after the row operation is given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
The row operation is given as follows:
Division by 7 = multiplication by 1/7, as the element at the desired position is of 7.
How to do the row operation?The matrix in the context of this problem is defined as follows:
[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]
We want to have element 1 into row 1 and column 1, that is, the element of 7 at row 1 and column 1 of the matrix must assume a value of -1.
An example of a valid row operation is the multiplication of the row by a constant, and as the element has a value of 7, the constant to obtain a value of 1 is:
7/k = 1
k = 7.
Dividing every element of the first row by 7, the resulting matrix is then given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
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Vanessa purchased a used car on a payment plan. Four months after purchasing the car, the balance was $1,200. Seven months after purchasing the car, the balance was $975.
Write an equation that models the balance y after t months.
y =
t +
The equation that models the balance y after t months is y = -75t + 1,500
To write an equation that models the balance y after t months, we need to use the given information to determine the rate at which the balance is decreasing. We can use the formula for a straight line, y = mx + b, where m is the slope and b is the y-intercept.
We can start by finding the change in the balance over the three-month period from four to seven months after the purchase:
Change in balance = $1,200 - $975 = $225
The rate of change can be calculated by dividing the change in the balance by the number of months:
Rate of change = $225 / 3 months = $75 per month
We can use this rate of change as the slope of the equation:
y = -75t + b
To find the y-intercept b, we can use the fact that the balance was $1,200 four months after the purchase:
1,200 = -75(4) + b
b = 1,500
Therefore, the equation that models the balance y after t months is:
y = -75t + 1,500
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Give the formulas for the following:
the partial sum of a geometric sequence where a₁ is the first term, n is the number of
the terms in the sum, and r is the common ratio.
the infinite sum of a geometric sequence where |r | < 1.
The formula for the partial sum of a geometric sequence with first term a₁, common ratio r, and n terms is given by:
Sₙ = a₁(1 - rⁿ)/(1 - r)
How to explain the formulaA geometric sequence is a non-zero numerical sequence in which each term after the first is found by multiplying the preceding one by a fixed, non-zero quantity known as the common ratio.
In the formula, Sₙ is the sum of the first n terms of the sequence.
Alternatively, the formula can be expressed as:
Sₙ = (a₁(rⁿ - 1))/(r - 1)
Both of these formulas give the same result and can be used to calculate the partial sum of a geometric sequence.
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Jamal is planning a conference. A local hotel rents a ballroom for $620 and charges $35 per guest for food.
Step 2 of 5: Determine the total charge if 138 guests attend the conference.
The total charge if 138 guests attend the conference is $5450
Determining the total charge if 138 guests attend the conference.From the question, we have the following parameters that can be used in our computation:
A local hotel rents a ballroom for $620 And charges $35 per guest for food.Using the above as a guide, we have the following:
Total = ballroom + food * number of guests
Substitute the known values in the above equation, so, we have the following representation
Total = 620 + 35 * 138
Evaluate
Total = 5450
Hence, the total charges is $5450
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please help for this question
The single transformation that maps shape A to shape B is: Reflection about the line x = -2
What is the transformation rule?There are different ways of carrying out transformation of objects and they are:
Reflection whereby all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection
Rotation whereby all points are rotated about a point.
Dilation where the object is reduced or increased by a scale factor.
Translation where the object is moved from one point to another.
Looking at the given image, we can tell that this denotes a reflection because it is the exact same shape and looks like a mirror image which was reflected over the line x = -2
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Answer:
23098376=890754730.0%
Please help !!!!!!!!!!
The total amount of interior angles featured on a polygon with 'n' sides can be determined through the equation (n-2)*180 degrees. This formula applies to all types of polygons, such as triangles.
How to explain the triangleIn order to calculate the sum of each individual angle in the polygon, we must consider the total degree measure formed within each triangle. Every triangle consists of three different sized interior angles that together form an count of 180 degrees.
For instance, when a polygon containing 'n' sides is divided into separate triangles by interconnecting certain vertices, the overall number of triangles produced can be worked out using the equation (n-1). A square, for example, can be broken down into two distinctive triangles, whereas a pentagon structures five triangles, and finally, a hexagon results in four.
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What is the area of the shaded part of the figure if =14
ft?
Use 3.14
to approximate π
The area of the shaded part is 42.14 ft² .
How to find the area of the shaded part of the figure?Area of the shaded part of the figure = area of square - area of quarter circle
Area of shaded part of the figure = s² - 1/4πr²
Where s = 14 ft and r = 14 ft
Substitute into the formula:
Area of shaded part = 14² - 1/4(3.14)(14²)
= 42.14 ft²
Therefore, the area of the shaded part is: 42.14 ft² .
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Complete Question
Check image
A wheelchair ramp is in the shape of a triangular prism. It has a base area (B) of 37.4 and a height of 5 yards. Find the volume of the ramp.
The volume of the ramp ishow many yd3
Answer:
Step-by-step explanation:
The formula for the volume of a triangular prism is:
V = Bh, where B is the base area and h is the height of the prism.
Substituting the given values, we get:
V = 37.4 x 5
V = 187 yd^3
Therefore, the volume of the ramp is 187 cubic yards.
The number of times 100 groups took a selfie is as follows
find the probability a group will take their selfie exactly 5 times
Answer: 0.12
Step-by-step explanation:
just divide whatever is under 5 with the total amount of frequency
so then you do 12/100 which is 0.12
HELP FASTTTTT PLAZSSSS
A researcher is interested in hamster wheel-running activity during the summer versus the winter. She suspects that either the hamsters will run less during the winter to conserve energy, or they will run more to keep warm. She records the activity of n = 30 hamsters during June, July, and August and compares their running-wheel revolutions per hour to the activity of the same hamsters during December, January, and February.
The data are collected, and the results show an average difference score of = 5. 7 and a sum of squares of SS = 2,851.44.
What is the value for degrees of freedom for this repeated-measures t test?
There are 29 degrees of freedom for this repeated-measures t-test.
Understanding the degree of freedomThe degrees of freedom (df) for a repeated-measures t-test is calculated as (n-1), where n is the number of paired observations.
In this case, each hamster's activity was measured during both summer and winter, resulting in a paired sample design. Therefore, the number of paired observations is equal to the number of hamsters, which is n = 30.
Hence, the degrees of freedom for this repeated-measures t-test is:
df = n - 1 = 30 - 1 = 29
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I been trying to figure this out but im bad with squares even though it sounds easy.
Answer:
13in :)
Step-by-step explanation:
KJASJDAJK its oki! The formula for the area of a square is Side x Side= Area, meaning you can just square root the area (since its a square all sides should be the same length) sqrt of 169 would give you 13!
Suppose that the production of plastic creates a social cost which is depicted in the graph above. Without any government regulation, how much plastic will be produced?
Suppose that the production of plastic creates a social cost which is depicted in the graph above. Without any government regulation, about 650 units of plastic will be produced. (Option C)
Why is this so?This is because, when the market forces are left to play out, competition drives efficiency upwards, which enable suppliers to produce at lower price thus offering consumers more quantity demanded for lower prices.
Hence, without government intervention, the unit produced will be 650 at the price of 7.
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write the equation of a circle with center (-4,3) and radius 9 ?
Step-by-step explanation:
Standard form of circle with center (h.k) and radius r :
( x-h)^2 + (y-k)^2 = r^2
FOr the data given:
(x + 4)^2 + ( y-3)^2 = 81 (81 is the radius, 9, squared)
I may be able to figure out part (b) of this one, but I do need help with parts (a) and (c). Any help would be greatly appreciated.
(a) The shape of sampling distribution is not too close to 0 or 1 (b) The mean of standard deviation = 0.033
(c) [tex]P(Z > (P-P + 0.03) / 0.033) = P(Z > 0.91)[/tex]
According to given information:(a) The sampling distribution of p-p is approximately normal by the Central Limit Theorem because both sample sizes are large enough (n₁ = n₂ = 240) and the sample proportions of orange candies are not too close to 0 or 1.
(b) The mean of the sampling distribution of p-p is equal to the difference between the population proportions, which is 0.20 - 0.23 = -0.03. The standard deviation of the sampling distribution of p-p is given by:
sqrt[(p₁q₁/n₁) + (p₂q₂/n₂)]
= sqrt[(0.200.80/240) + (0.230.77/240)]
= 0.033
The standard deviation represents the amount of variation we expect to see in the differences between sample proportions of orange candies from multiple random samples of the same size.
(c) To find P(P-P>0), we need to standardize the difference between the sample proportions and the population difference and then find the probability that the standardized difference is greater than 0. That is:
(P-P - (p₁ - p₂)) / sqrt[(p₁q₁/n₁) + (p₂q₂/n₂)]
= (P-P - (-0.03)) / 0.033
= (P-P + 0.03) / 0.033
Using a standard normal distribution table or calculator, we can find the probability that a standard normal variable is greater than this value. For example, if we use a calculator, we get:
P(Z > (P-P + 0.03) / 0.033) = P(Z > 0.91)
where Z is a standard normal variable. The probability is approximately 0.18. This means that if we take many random samples of 240 M&M's milk chocolate candies and 240 peanut M&M's and calculate the difference between the sample proportions of orange candies, about 18% of the time we would expect to see a difference of 0.03 or greater (favoring M&M's milk chocolate candies).
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Can someone help me thx
The rule is x->y=3x. Copy and fill in the table with atleast 4 points
Our table looks like this:
x | y
--|--
1 | 3
2 | 6
-2 | -6
0 | 0
The rule given is x -> y = 3x, which means that the value of y is three times the value of x. To fill in the table with at least 4 points, we can choose any four values of x and calculate their corresponding values of y using the rule.
Let's start with x = 1. Plugging this value into the rule, we get y = 3(1) = 3. So the first point in our table is (1, 3).
Next, let's try x = 2. Using the rule, we get y = 3(2) = 6. So the second point in our table is (2, 6).
Moving on, let's choose x = -2. Using the rule, we get y = 3(-2) = -6. So the third point in our table is (-2, -6).
Lastly, let's try x = 0. Using the rule, we get y = 3(0) = 0. So the fourth point in our table is (0, 0).
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What are the roots of the quadratic equation below?
2x² + 8x+7= 0
O A. x = = 2√2
1
O B. x =
-8+√120
8
O
O D. x =
C. x = = 4+√/²
-2+√120
Answer:
Step-by-step explanation:
c
Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.
Answer:
x = 3, -5/2
Step-by-step explanation:
First, you move the 15 onto the left of the equation by subtracting it from both sides.
Second, you plug your info into the quadratic equation. (1 +- sqrt(1+4*15*2))/4
Answer this question soon
Answer:
CA - 144
AD - 98
ABD - 49
BC - 134
C - unsure
Step-by-step explanation:
how large a sample should be taken if the population mean is to be estimated with 98 percent confidence to within $100? The population has a standard deviation of $800.
A sample of at least 433 individuals would need to be taken to estimate the population mean with 98% confidence to within $100.
Understanding Population EstimateTo estimate the sample size needed to estimate the population mean with 98% confidence to within $100, we can use the formula:
n = (z * σ / E)²
where:
n = sample size
z = z-score for the desired level of confidence (98% in this case), which can be found using a standard normal distribution table or calculator. For 98% confidence, the z-score is approximately 2.33.
σ = population standard deviation ($800 in this case)
E = margin of error ($100 in this case)
Plugging in the values, we get:
n = (2.33 * 800 / 100)²
n ≈ 432.64
Rounding up to the nearest whole number, we get a sample size of 433. Therefore, a sample of at least 433 individuals would need to be taken to estimate the population mean with 98% confidence to within $100.
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In circle S with
m
∠
R
S
T
=
102
m∠RST=102 and
R
S
=
6
RS=6 units, find the length of arc RT. Round to the nearest hundredth.
In a circle, the measure of a central angle is equal to the measure of its intercepted arc. Since ∠RST is a central angle of circle S and its measure is 102 degrees, the measure of its intercepted arc ⌢RT is also 102 degrees.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Since RS is a radius of circle S and its length is 6 units, the circumference of circle S is C = 2π * 6 = 12π units.
The length of an arc is proportional to its measure in degrees. Since the measure of ⌢RT is 102 degrees and the total measure of a circle is 360 degrees, the length of ⌢RT is (102/360) * 12π = 3.4π units.
Rounded to the nearest hundredth, this is approximately 10.68 units.
SA=3x+19 and SD=5x-11,find for x
The value of the variable x is -4
How to determine the valueFirst, we need to know that line segments are described as a section of a line that is bounded by two points or connecting two points.
From the information given, we have that;
Line SA and SD are equal segments
But SA =3x+19 and SD=5x-11
Now, equate the expressions since they are of equal lengths, we have;
3x + 19 = 5x - 11
collect the like terms
3x - 5x = -11 + 19
Add or subtract the like terms, we have;
-2x = 8
Divide both sides by the coefficient, we have;
x = -4
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Solve for p.
p − 4
2
= 3
The value of p in the expression is 45
What is additive inverse?Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
For example a+5 = 2 , by solving this we add the additive inverse of 5 to both sides. The additive inverse of 5 is -5
this means,
a+5-5 = 2-5
a = 2-5
a = -3
Similarly, p-42 = 3 is solved in the same way. we add the additive inverse of -42 which is +42 to both sides,
p-42+42 = 3+42
p = 3+42
p = 45
therefore the value of p is 45
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A cube has shaded shapes on three of its faces. Here is a net of the cube. Draw in the two missing shaded shapes.
The appropriate diagram to illustrate the cube is given.
What is a cube?A cube is a three-dimensional shape featureing six equal square faces, with its edges and vertices being of congruent length. It counts as one of the five platonic solids distinguished by all of its features having matching sizes.
The cube can be perceived as a special instance of a rectangular parallelepiped where all six are perfectly square in shape. In order to calculate the volume of such an ordinary cube, the number of its edge needs to be multiplied by itself thrice (V = a³).
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Answer this pleaseeee
The solution of the trigonometric equation on the interval (, 360) is
x = 90° or x = 126.87° or x = 216.87 What is a trigonometric equation?A trigonometric equation is an equation that contains trigonometric ratios.
Given the trigonometric equation
2sinx = 1 - cosx, we proceed to solve for x as follows.
Since 2sinx = 1 - cosx
Using sin²x = 1 - cos²x
⇒ sinx = √(1 - cos²x )
Substituting this into the equation, we have that
2sinx = 1 - cosx
2√(1 - cos²x ) = 1 - cosx
Squaring both sides, we have that
[2√(1 - cos²x )]² = (1 - cosx)²
4(1 - cos²x ) = (1 - cosx)²
4 - 4cos²x = 1 - 2cosx + cos²x
Collecting similar terms, we have that
1 - 4 - 2cosx + 4cos²x + cos²x = 0
- 3 - 2cosx + 5cos²x = 0
Re-arranging the equation, we have that
5cos²x - 2cosx - 3 = 0
Let cosx = y
So, we have that
5y² - 2y - 3 = 0
Factorizing, we have that
5y² - 2y - 3 = 0
5y² - 5y + 3y - 3 = 0
5y(y - 1) + 3(y - 1) = 0
(5y + 3)(y - 1) = 0
⇒ 5y + 3 = 0 or y - 1 = 0
⇒ 5y = -3 or y = 1
⇒ y = -3/5 or y = 1
Since y = cosx, we have that
cosx = -3/5 or cosx = 1
cos(180° - x) = 3/5 or cos(270° - x) = 3/5 or cosx = 1
Taking inverse cosine, we have that
180° - x = cos⁻¹(3/5) or 270° - x = cos⁻¹(3/5) or x = cos⁻¹(1)
180° - x = 53.13° or 270° - x = 53.13° or x = 90°
x = 180° - 53.13° or x = 270° - 53.13° or x = 90°
x = 126.87° or x = 216.87 or x = 90°
So, the solution is
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1. A biologist hypothesizes that the mean life expectancy of a cockroach is 17 days. Researchers believe the true mean is less than 17 days and they plan a hypothesis test at the 10% significance level on a random sample of 80 of these cockroaches. If the alternative hypothesis is correct, for which of the following values of μ is the power of the test greatest?
A. μ = 9
B. μ = 10
C. μ = 17
D. μ = 20
E. μ = 21
2.Automobile tires can have a symmetric tread or an asymmetric tread. An experiment is to be conducted to determine whether the stopping distance is the same for both types of tire treads. In previous studies, it was determined that automobile size (small, medium, large) is associated with stopping distance, but automobile type (van, truck, SUV, and so on) is not associated with stopping distance. How could the experiment BEST be conducted?
A. By blocking on stopping distance
B. By blocking on tire tread type
C. By blocking on automobile type
D. By blocking on automobile size
E. Without blocking
3. A popular podcast wants to know the proportion of listeners that think assault weapons should be banned for civilians. Listeners are asked to text "Y" for yes or "N" for no to a provided number. Sixty-five percent of the 1,500 people that responded texted "Y." Which condition for inference has NOT been met?
A. All conditions appear to be met.
B. The sample is an SRS of the population.
C. N > 10n
D. np ≥ 10 and n(1 - p) ≥ 10
E. Inference about a proportion is the objective.
4.Fifteen pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown.
Which of the following conclusions is appropriate?
A. A line is an appropriate model to describe the relation between X and Y.
B. A line is not an appropriate model to describe the relation between X and Y.
C. The assumption of the Law of Averages has been violated.
D. The variables X and Y are not related at all.
E. There is not enough information about the variables X and Y to form a conclusion.
I need the best answer to this question complete sentences (I will give 20 points for the full question answered how it says to do it.)
The three types of rock are igneous, sedimentary, and metamorphic.
What are the three types of rock?There are three types of rocks as explained below.
Igneous rocks are formed from the cooling and solidification of molten rock, either on the Earth's surface (extrusive) or beneath the surface (intrusive). Examples of igneous rocks include basalt, granite, and pumice.
Sedimentary rocks are formed from the accumulation and cementation of sediment particles (such as sand, silt, and clay) or the precipitation of minerals from a solution. Examples of sedimentary rocks include sandstone, limestone, and shale.
Metamorphic rocks are formed from the alteration of pre-existing rocks by heat, pressure, and chemical reactions. Examples of metamorphic rocks include marble, slate, and gneiss.
The rock cycle is the process by which one type of rock can be changed into another type of rock.
The rock cycle involves three main processes:
Weathering and erosionDeposition and lithificationMelting and solidificationTherefore, one type of rock can be changed into another type of rock through the rock cycle by undergoing weathering, erosion, deposition, lithification, metamorphism, melting, and solidification, depending on the specific conditions and processes involved.
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Help please!!!!
Whoever answers right gets brainliest!
When w = 10 and z = 2, the value of expression 2w⁻²z⁰ is equal to 1/50. So, correct option is A.
The expression 2w⁻²z⁰ can be simplified as follows:
2w⁻²z⁰ = 2/w² * z⁰
Since z⁰ = 1 for any non-zero value of z, we can simplify further:
2w⁻²z⁰ = 2/w² * 1
Now we can substitute w = 10 into the expression:
2(10)⁻² * 1 = 2/100 = 1/50
In general, when we have a negative exponent in an expression, we can rewrite it as a positive exponent in the denominator. In this case, w⁻² can be rewritten as 1/w². Additionally, any number raised to the power of 0 is always 1, so z⁰ = 1. By simplifying the expression, we can easily substitute the given values of w and z to evaluate the expression.
So, correct option is A.
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