Answer:
-3 and 11
Step-by-step explanation:
Nina brought 25 cupcakes to school for her friends. There were two flavors, chocolate and vanilla. For every 2 chocolate cupcakes she brought, Nina brought 3 vanilla cupcakes.
How many vanilla cupcakes did Nina take to school? Explain.
The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes
We are given;
Number of cake Nina bought for her friends = 25 cupcakes
There are two flavors namely chocolate and vanilla.
Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;
Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5
Fraction of vanilla cupcakes of the total = 3/5
Thus;
Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes
Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes
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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.A similar problem is given at https://brainly.com/question/16807970
Is 18 is 25% of 72 true or false
Step by step evidence
Answer:
true
Step-by-step explanation:
25% of 72
25/100 * 72
= 1/4 * 72
= 18
Han rides his bike for 50 miles over 4 hours.How long will it take him to ride 75 miles?
Answer:
6 hours.
Step-by-step explanation:
This is directly proportional, meaning if you multiply one side by a number, you multiply the other side by the same number. For the ratio 50:4, you would have to multiply 1.5 to 50 to get 75 miles, so you would also have to multiply 4 by 1.5. This would get you 6 hours.
(-8,-5) after a translation right 1 units and down 5 units?
What interest rate will save you the most money if you carry a balance on a loan from one month to the next?
A. Simple interest rate
B. Effective rate
C. Compound interest rate
D. Annual percentage yield
The interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
While carrying the balance on a loan from one month to the next month, the compound interest rate is better, as it allows the funds to grow faster than the other rate mentioned.
Thus, the interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
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how to solve subtraction of percentage from whole numbers
A bottle of medicine holds 0.25 litres.
The instructions on the bottle of medicine say: 'Take two 5 ml spoonfuls three times a day
How many days will a full bottle of medicine last?
Answer:
this is the correct answer happy
The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.
Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder ill give brainliest
Using the partial quotient method, it is found that:
The partial quotients used in each step are as follows: 300, 80, The final quotient is of: 383.Partial quotient methodWhen division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.
Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.
In this problem, the divisor is as follows;
19.
The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.
The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.
The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.
Then the final quotient is given as follows:
300 + 80 + 3 = 383.
Missing InformationThe subtractions are given by the image at the end of the answer.
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Hey That last question is A LOT OF POINT'S
Answer:
1. 7x
2. 8x - 1
3. 12 + 6x
4. 4 - 7x
5. 13x - 7
Step-by-step explanation:
On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the engine is running, the temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. Approximately how long will it take before the radiator fluid temperature reaches 60 degrees Fahrenheit? (HELPP)
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the temperature in Fahrenheit of the radiator after t minutes.
Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:
y = 5.4x - 18
For the radiator fluid temperature to reach 60 degrees Fahrenheit:
60 = 5.4x - 18
5.4x = 78
x = 14.4 minutes
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
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two improper fractions between 4 and 5
Answer:
[tex] \frac{9}{2} [/tex]
[tex] \frac{13}{3} [/tex]
Debra wants to rent a boat and spend at most $44. The boat costs $8 per hour, and Debra has a discount coupon for S4 off. What are the possibile numbers of
hours Debra could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
t ≤ 6
Step-by-step explanation:
8t - 4 ≤ 44
I hope this helps!
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
A. (x - 2)^2 + (y + 3)^2 = 18.
B. (2, -3)
C. 3(2^(1/2))
Step-by-step explanation:
The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.
PLS HELP GRADIENT FIRST TO ANSWER GETS BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
For a;
The answer will be 3
For b;
The answer will be -4
Step-by-step explanation:
To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]
I hope this helped!
Can I have brainliest?
Have a great day/night/afternoon!
- ❤ 7272033Alt ❤
The following dataset represents the number of minutes a student listens to music in a week for 50 students, sorted and
arranged in rows of 5. What is the 80th percentile of the data?
Using the percentile relation, the 80th percentile of the data is 77.
The 80th percentile of a data can be defined as :
80th percentile = 80% × (n+1)th term n = sample size = 50Hence, we have ;
80th percentile = 0.8 × (50 + 1)th term
80th percentile = 40.8 term = 41th term
Since, the days is sorted, the 80th percentile is the value at index 41.
Hence, the 80th percentile of the data is 77.
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A car of the year 2020 is topped with 25% of its price. If the list price says $ 25,000, what will the discounted price be?
Answer:
is he a business man or something
I need right answer only please no link no bot
Answer:
[tex]972 \pi \: {in}^{3} [/tex]
Step-by-step explanation:
volume of container
[tex] = \: \frac{4\pi {r}^{3} }{3} [/tex]
Y = ___x + ____
Find the equation of the line.
At a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in pounds) in the container vs time (in minutes). SEE GRAPH BELOW AND ANSWER THE FOLLOWING QUESTIONS PLEASE.
A.) What is the amount of candy in the container at 0 minutes?
B.)Choose the stament that best describes how the time and candy are related then fill in the blank.
B 1.) As time increases the amount of candy in the container decreases. At what rate is the amount of candy decreasing?
_____ pounds per minute?
B 2.) As time increases the amount of candy in the container increases. At what rate is the amount of candy increasing?
____pounds per minute?
Answer:
A) 20 pounds
B.2) (increasing) 60 pounds per minute
Step-by-step explanation:
A) The graph shows the container has 20 pounds in it at x=0 minutes.
__
B) The graph goes up to the right (is increasing).
At minute 0, the container has 20 pounds.
At minute 1, the container has 80 pounds.
The increase in one minute is 80-20 = 60 pounds per minute.
The initial amount of candy in the container is 2 pounds. As time increases, the amount of candy in the container decreases at a rate of 1 pound per minute.
A.) The amount of candy in the container at 0 minutes is 2 pounds.
B1.) As time increases, the amount of candy in the container decreases. The rate at which the amount of candy is decreasing is 1 pound per minute.
B2.) As time increases, the amount of candy in the container increases. However, this option is not applicable in this case as the graph shows a decreasing trend.
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Can someone help me please
Answer:
answer for question 7. 0.17×70 = $11.9
Answer:
Question 1:
bill = $70
tip percentage = 17%
so tip = 70x(17/100)
= 11.9$
Question 2:
total voters = 20500
supported voters percentage = 49%
so supported voters = 20500x(49/100)
= 10045
Question 3:
price = 154$
vat percentage =5%
so vat = 154x(5/100)
= 7.7$
f(x-1)=3x²-7x+8, find f(x)
Answer:
f(x) = 3x² -x +4
Step-by-step explanation:
Use (x+1) for x and simplify.
f((x+1) -1) = 3(x +1)² -7(x +1) +8
f(x) = 3(x² +2x +1) -7x -7 +8
f(x) = 3x² -x +4
Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?
Answer:
Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.
Step-by-step explanation:
Given slope of −25 with point (-5,3), write the linear equation in Slope-Intercept Form.
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]
[tex]\\ \sf\longmapsto 3=125+b[/tex]
[tex]\\ \sf\longmapsto b=-122[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=-25x-122[/tex]
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 4, negative 3).
According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)
Answer:
-4 -3
Step-by-step explanation:
find the length of the unknown side of a right triangle with sides a,b, and c, where c is the
hypotenuse, using the following information. a=10, b=24
Answer:
hlo georgia can you become my friend please
Answer:
[tex]c=26[/tex]
Step-by-step explanation:
The Pythagorean Theorem goes like this
[tex]a^{2}[/tex][tex]+b^{2}=c^2[/tex]
[tex]10 \cdot 10 =100[/tex]
[tex]24 \cdot 24=576[/tex]
[tex]100+576=676[/tex]
Now we find the square root of 676
[tex]\sqrt{676} =26[/tex]
[tex]side[/tex] [tex]c=26[/tex]
with a diameter of 9 cm
Use their work to answer
questions 1-2
A-3.14
A-254.34
1 Describe Ben's mistake in solving for the
area of the circle.
Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.
PLEASE HELP MY SISTER NEEDS IT OMG [Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5
Answer:
The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.
Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.
Step-by-step explanation:
Answer:
points:
1.5
4.5
-2
-4
1
-2.5
4
3
-3.5
5
Step-by-step explanation:
True or false: An absolute value function is an example of a piecewise function.
Answer:
True
Step-by-step explanation:
An absolute function can be re-written as:
[tex]|x| = \left \{ {{x} \quad \ \ \ \text{if} \ x \geq \ 0\atop {-x} \quad \text{if} \ x < 0} \right.[/tex]
That is the form of a piecewise function.
5.A Nathan decided he wanted to go to a theme park. The theme
park charges $ 7.00 for entry and $ 1.50 for each ride. Part A : Write an
expression to represent this scenario where R represents the number of
rides.
5.B Refer to problem 5. Part B: Write and solve an equation to determine
how many rides Nathan can ride if his Dad give him $ 28.00. Show your work.
Answer:
5a. $1.50R + $7
5b. 14 rides
Step-by-step explanation:
5b. $28 - $7= $21/1.50= 14
He can go on 14 rides
If rides be x
Initial price=7Rate of change=1.5The equation is
y=1.5x+7#B
Put y=28
1.5x+7=281.5x=28-71.5x=21x=14Total 14 rides