Answer:
Php 210
Step-by-step explanation:
Basic pizza = Php 150
each additional slice of meat topping = Php 5
y = 150 + 5x
Where,
y = Total cost of pizza
x = number of additional meat topping
How much will the pizza cost if it has a dozen slices of meat
toppings?
A dozen slices of meat
toppings = 12 slices of meat
toppings
y = 150 + 5x
= 150 + 5(12)
= 150 + 60
= 210
y = Php 210
Using a linear function, it is found that the pizza will cost Php 210.
A linear equation has the following format:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.In this problem:
Basic pizza costs Php 150, thus \(b = 150\)Each additional slice costs Php 5, thus \(m = 5\)Then:
\(y = 5x + 150\)
The cost if it has a dozen slices of meat toppings is y when x = 12, thus:
\(y = 5(12) + 150 = 210\)
The pizza will cost Php 210.
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one more help How can you figure out the length of the dotted line that connects the two endpoints of the half circle?
Answer: Multiply the radius of the half circle by 2.
Step-by-step explanation: The dotted line that connects the two endpoints of the half circle is the diameter of the circle. To find the diameter of the circle, you will need to multiply the radius of the half circle by 2, since the radius is half of the diameter.
est the null hypothesis that the mean of the population is 3 against the alternative hypothesis, μ≠3. use α
To test the null hypothesis that the mean of the population is 3 against the alternative hypothesis μ≠3, we can use a hypothesis test with a significance level α.
In hypothesis testing, we compare a sample statistic to a hypothesized population parameter. In this case, we want to determine if the mean of the population is significantly different from 3.
To conduct the test, we first collect a sample of data. Then, we calculate the sample mean and standard deviation.
We use these statistics to calculate the test statistic, which follows a t-distribution with (n-1) degrees of freedom, where n is the sample size.
Next, we determine the critical region based on the significance level α. For a two-tailed test, we divide α by 2 to get the critical values for both tails of the distribution.
Finally, we compare the test statistic to the critical values.
If the test statistic falls within the critical region, we reject the null hypothesis and conclude that the mean of the population is significantly different from 3.
Otherwise, if the test statistic falls outside the critical region, we fail to reject the null hypothesis.
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I'm stuck here, please help
Answer:
Are you stuck step-sis?
Step-by-step explanation:
please find the value of x please
There is 3 correct ones. Please helpppppp
Answer:
i dont know
Step-by-step explanation:
But i think it is 10/1 20/2 and 60/6
I dont do slopes in Math but by the power of observation I beileve I have figured it out
Answer:
1/10 2/20
Step-by-step explanation:
Those are the answers hope this helped.
volunteers for a human performance study were randomly divided into two groups. the first group had their flexibility measured in the morning after a short meditation session while the second group had their flexibility measured in the afternoon with no previous meditation session. the flexibility scores of the two groups were compared. to improve the design of this experiment, one part of it should be done in a blind way. that is, we should
To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation.
In the given experiment, the researchers have not employed any form of blinding, which could be a potential source of bias. Blinding is a critical aspect of experimental design, where the participants or the researchers are unaware of the group allocation or the treatment being administered. Blinding is used to eliminate any potential sources of bias that may arise due to the expectations or beliefs of the researchers or participants. In this particular study, the lack of blinding could have led to two possible sources of bias. Firstly, the participants in the first group who received the meditation session could have had higher expectations of improvement in their flexibility due to the meditation. These expectations could have led to higher motivation and effort during the flexibility measurement, leading to an artificial improvement in their flexibility scores. Secondly, the researchers who were measuring the flexibility of the participants could have been biased towards finding a difference between the groups due to their knowledge of the group allocation. This could have led to a subconscious alteration in the measurement process, leading to a false conclusion about the effect of meditation on flexibility.
hence To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation. For instance, the participants could have been assigned a unique identification number, and the researchers could have used coded labels to differentiate the groups. This would have eliminated any potential sources of bias due to expectations or beliefs and would have made the results more reliable.
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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by the local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion who are not satisfied.
(a) Past studies suggest that this proportion will be about 0.17. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015. (You will need a critical value accurate to at least 4 decimal places.) Sample size:
(b) Using the sample size above, when the sample is actually contacted, 25% of the sample say they are not satisfied. What is the margin of the error of the confidence interval? MoE:
The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.
(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:
n = (Z^2 * p * (1-p)) / E^2
Where:
n = sample size
Z = critical value (corresponding to the desired confidence level)
p = estimated proportion of the population
E = margin of error
In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.
Plugging these values into the formula, we have:
n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2
n ≈ 1901.63
Therefore, the sample size needed is approximately 1902.
(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:
MoE = Z * sqrt((p * (1-p)) / n)
Where:
MoE = margin of error
Z = critical value (corresponding to the desired confidence level)
p = proportion of the sample
n = sample size
Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:
MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)
MoE ≈ 0.014
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căn 0.45*0.3*6
pls help
thanks you
Answer:
0,81
Step-by-step explanation:
0.45 x 0.3 x 6
= 0,135 x 6
= 0,81
\( = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} \)
Find the values of x and y
Answer:
x = 8
y = 21
Step-by-step explanation:
The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement
7x + 12 = 12x - 28
12 + 28 = 12x - 7x
40 = 5x divide both sides by 5
8 = x
The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°
12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation
12 × 8 - 28 + 9y - 77 = 180
96 - 28 - 77 = 180 add like terms
9y - 9 = 180
9y = 189 divide both sides by 9
y = 21
a tank is filled with the liquid algebrol that weighs 8.8 pounds per gallon. when the tank contains 13 gallons of algebrol, the combined weight of the tank and the algebrol is 126.5 pounds. write an equation that expresses the combined weight of the tank and algebrol in pounds, w , in terms of the number of gallons of algebrol in the tank, v .
The equation that expresses the combined weight of the tank and algebrol in pounds, w, in terms of the number of gallons of algebrol in the tank, v, is:
w = 8.8v + 126.5
Determine the weight of the algebrol?The weight of the algebrol per gallon is given as 8.8 pounds/gallon. Therefore, the weight of the algebrol in the tank is 8.8 times the number of gallons, which is represented by 8.8v.
Additionally, we are given that the combined weight of the tank and algebrol is 126.5 pounds. This weight includes the weight of the tank itself, which is independent of the number of gallons.
Hence, we add the weight of the tank to the weight of the algebrol, resulting in the equation: w = 8.8v + 126.5.
This equation allows us to calculate the combined weight (w) based on the number of gallons (v) of algebrol in the tank.
Therefore, the combined weight, w, of the tank and algebrol in pounds can be calculated by multiplying the number of gallons, v, of algebrol by 8.8 and adding 126.5.
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I NEED HELP ASAP PLEASE
Answer:
the answer is x=10
Step-by-step explanation:
16-6=10
so x=10
Help please ASAP thank you!!
And no links please no linksss!!
Given:
The dimensions of the square photo are 12'' × 12''.
The frame is 2 inches wider than the photo in both length and width.
To find:
The perimeter of the frame.
Solution:
We have,
Length of the photo = 12 inches
Width of the photo = 12 inches
The frame is 2 inches wider than the photo in both length and width. So,
Length of the frame = 12+2 inches
= 14 inches
Width of the frame = 12 inches
= 14 inches
The perimeter of a square is:
\(P=4a\)
Where, a is the side length.
Now, the perimeter of the square frame with side 14 inches is:
\(P=4(14)\)
\(P=56\)
Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.
The point (
7
,
24
)
is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
To determine the exact values of the six trigonometric functions of the angle, we need to use the point (7,24) and the Pythagorean Theorem.
Step 1: Use the Pythagorean Theorem to find the hypotenuse of the right triangle formed by the point (7,24) and the origin (0,0). The hypotenuse is the distance from the origin to the point (7,24).
c^2 = a^2 + b^2
c^2 = 7^2 + 24^2
c^2 = 49 + 576
c^2 = 625
c = 25
Step 2: Use the hypotenuse and the coordinates of the point (7,24) to find the exact values of the six trigonometric functions.
sin θ = opposite/hypotenuse = 24/25
cos θ = adjacent/hypotenuse = 7/25
tan θ = opposite/adjacent = 24/7
csc θ = hypotenuse/opposite = 25/24
sec θ = hypotenuse/adjacent = 25/7
cot θ = adjacent/opposite = 7/24
The exact values of the six trigonometric functions of the angle are sin θ = 24/25, cos θ = 7/25, tan θ = 24/7, cosc θ = 25/24, sec θ = 25/7, and cot θ = 7/24.
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Find x?
Please Help
Answer:
15
Step-by-step explanation:
DEC=150 cause DAB is isosceles
answer for: -10 = 10 = 7m. m =
•0
•7
•10
•11
Answer:
Ok so your answer should be m = 0
Step-by-step explanation:
the explanation is to Rewrite the equation as − 10 +7 m = − 10 .− 10 + 7 m = − 10
Move all terms not containing m
to the right side of the equation.
7 m = 0
Divide each term by 7
and simplify.
m = 0
i hope this can help
Find a rational function that has vertical asymptotes x= -4 and x= 2 and x-intercept (3,0). Write equation and show work
Step-by-step explanation:
to create a vertical asymptote (a tangent of the curve in infinity) at x = n we define e.g.
f(x) = 1/(x - n)
the cost x gets to n, the much closer the function gets to 1/0 and infinity.
so, the part to get us the asymptote at x = -4 is
1/(x + 4)
the part to get us the asymptote at x = 2 is
1/(x - 2)
and the part that gives us a zero solution at x = 3 is
(x - 3)
because that is what the point (3, 0) is : when x = 3. then y = 0.
now we only need to multiply all 3 parts to combine them :
f(x) = 1/(x + 4) × 1/(x - 2) × (x - 3)
The image of (2,-5) under the translation (X-3.y+6)
A suspect has two months of unpaid fees. One month they had 3 parking tickets and 14 traffic violations totaling $2030.The second month they had 11 parking tickets and 11 traffic violations totaling $2200 . How much does each parking ticket cost? How much does each traffic violation cost?
Answer:
Ok, sure.
Step-by-step explanation:
Let's denote the cost of a parking ticket as "P" and the cost of a traffic violation as "T".
From the information provided, we can create the following equations:
Equation 1: 3P + 14T = 2030 (for the first month)
Equation 2: 11P + 11T = 2200 (for the second month)
We now have a system of equations to solve. We can use various methods to find the values of P and T.
One common method is to use substitution. We can solve Equation 1 for P and substitute it into Equation 2:
From Equation 1, we can isolate P:
3P = 2030 - 14T
P = (2030 - 14T) / 3
Substituting P into Equation 2:
11((2030 - 14T) / 3) + 11T = 2200
Now, we can solve this equation to find the value of T.
11(2030 - 14T) + 33T = 6600
22330 - 154T + 33T = 6600
22330 - 121T = 6600
-121T = 6600 - 22330
-121T = -15730
T = -15730 / -121
T ≈ 130
Now that we have the value of T, we can substitute it back into Equation 1 to find the value of P:
3P + 14(130) = 2030
3P + 1820 = 2030
3P = 2030 - 1820
3P = 210
P = 210 / 3
P = 70
Therefore, each parking ticket costs $70, and each traffic violation costs $130.
Answer:
To calculate the cost of parking tickets and traffic violations, you need to know the number of tickets and the total amount of fines. Then you can divide the total amount by the number of tickets to get the cost per ticket.
For example, in the first month, the suspect had 3 parking tickets and 14 traffic violations totaling $2030. The total number of tickets is 3 + 14 = 17. The cost per ticket is $2030 / 17 = $119.41.
In the second month, the suspect had 11 parking tickets and 11 traffic violations totaling $2200. The total number of tickets is 11 + 11 = 22. The cost per ticket is $2200 / 22 = $100.
Therefore, each parking ticket costs $119.41 in the first month and $100 in the second month. Each traffic violation costs $119.41 / 14 = $8.53 in the first month and $100 / 11 = $9.09 in the second month.
I hope this helps!
Step-by-step explanation:
Find the decay factor from the model y =4520(0.6)square 6
Answer:
Step-by-step explanation:
Solve - 8x = 56 for x.
Calculate the rise and run to find the she slope a line
Answer:
slope = 3
Step-by-step explanation:
rise/run = 6/2 = 3
3/8
of the students in Shaun's class play an instrument. What is
this number as a decimal?
Answer:
0.375 you could've searched what is 3/8 as a decimal and u would've gotten your answer lol
We have to turn it into fraction
3/83(125)/8(125)375/10000.375when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same
Answer:
normal force decreases
Step-by-step explanation:
N=mgcosθ, and cosine decreases as theta increases
consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3
Answer:
A) decreases
Step-by-step explanation:
As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.
HELP!!!!!!!ASAP!!! I NEED TO SUBMIT! WILL GIVE 100 POINTS AND BRAINLIEST!!!!!!!!!!
A group of students was asked about the number of flights they have taken. The data is shown in the line plot. Which of the following best describes the spread of the data? Explain its meaning in this situation. The data has a range of 5, which is a wide spread. This means the greatest number of flights was 5. The data has a range of 15, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students. The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights. The data has a range of 15, which is a wide spread. This means that there is a difference of 15 flights between each of the students.
Answer:
In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.
The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.
Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."
Step-by-step explanation:
Solve this system:
2x+5y+z=3
x-3y+2z=2
-x+2y-3z=-7
Answer:
x= -3
y= 1
z= 4
Step-by-step explanation:
Please see the attached pictures for the full solution.
*I evaluated the determinants using Sarrus' rule (see last picture):
∆= aei +bfg +cdh -gec -hfa -idb
*The symbol '∆' (delta) is usually used to denote a determinant.
Compound interest
Al invests some money in a bank that pays 5% compound interest per year
She wants it to be worth £8000 at the end of 3 years
What is the smallest amount she could invest?
Answer:
£6886
Step-by-step explanation:
P x e^r x t is the formula for compound interest
P x e^0.05 x 3 = 8000
P x 1.162 = 8000
P = 6885.66 = £6886 (round to the nearest pound)
Answer: £6910.71
Step-by-step explanation:
im not sure but i got this
help please!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
oh did you just take your 7 grade MATH BENCHMARK
picked d
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Remark
The trick is to solve the inequality. The last step is very tricky. Be careful with it.
Equation
15≤ -3x + 6 Subtract 6 from both sides
15-6 ≤ - 3x + 6 - 6 Combine
9 ≤ -3x Divide by - 3
9/-3 ≥ -3x/-3 Notice what happened to the less than or equal to
-3 ≥ x
Now there are 2 problems remaining.
1) why did the inequality turn around?
It turned around because when you divide by a number less than 0, the inequality turns around because the negative numbers work opposite to the positive numbers .
18 > 6
-18 < - 6
2) So which graph is correct.
The largest number that is possible is -3 The arrowhead should be pointing left.
In addition, the circle should be blacked in.
The answer is as you have marked it: A
Chloe consumes good X and good Y. Chloe believes that 6 units of good X is always a perfect substitute for 1 unit of good Y. Write down a utility function that describes Chloe's preferences.
In this utility function, the term 6X represents the utility derived from consuming good X, while the term -Y represents the disutility or loss of satisfaction from consuming good Y. By subtracting Y from 6X, Chloe's preferences reflect the substitution relationship she perceives between the two goods.
A utility function describes an individual's preferences and the satisfaction they derive from consuming different goods. In Chloe's case, she believes that 6 units of good X can fully replace the satisfaction derived from consuming 1 unit of good Y. Therefore, we can construct a utility function based on this substitution ratio.
Let's denote the quantity of good X as X and the quantity of good Y as Y. Since Chloe believes that 6 units of X perfectly substitute 1 unit of Y, we can express her utility function as:
U(X, Y) = 6X - Y
It's important to note that utility functions are subjective and specific to an individual's preferences. Chloe's utility function captures her belief that 6 units of X are equivalent to 1 unit of Y, but it may not hold true for other individuals with different preferences or perceptions of substitutability between the goods.
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Frankie enlarged the size of a rectangle to a height of 20 cm. What is the new width if it was originally 2 cm wide and 4 cm tall
Answer: 10
Step-by-step explanation:
4 to 20 which is times by 5 so 2 times by 5 is 10
Can someone pls help? i dont understand this
Answer:
b
Step-by-step explanation: