Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
Find the slope of the line -2x - 5y = 10
Answer:
-2/5
Step-by-step explanation:
To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.
=================================================================
Add 2x to both sides. [Addition Property of Equality]
-2x - 5y = 10
+2x +2x
-------------------
-5y = 2x - 10
Divide -5 on both sides. [Division Property of Equality]
-5y/-5 = 2x/-5 - 10/-5
y = -2/5 x + 2
Comparing to y = mx + b form, we see that our m value, or slope is -2/5
--------------------------------------------------------------------------------------------------------------
m= -2/5
=================================================================
Hope I Helped, have a fantastic day!
-Aadi x
1. 0.5
2. 14
3. 8
4. 10
Answer:
The awnser is 14
Step-by-step explanation:
If you multiply length x width then divide u get 14
An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about
Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.
solve the equation
3b/7 -1 = 5
Answer:
b = 14
Step-by-step explanation:
The required solution to the equation 3b/7 - 1 = 5 is b = 14.
What is simplification?Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
Here,
To solve for b, we need to isolate b on one side of the equation.
First, we add 1 to both sides of the equation to get:
3b/7 = 5 + 1
Simplifying the right-hand side:
3b/7 = 6
Next, we multiply both sides by 7/3:
(7/3) * (3b/7) = (7/3) * 6
Simplifying:
b = 14
Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.
Learn more about simplification here:
https://brainly.com/question/12501526
#SP3
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
A gumball machine contains gumballs in several different colors.
orange 26
yellow 2
green 3
purple 1
red 1
If you purchase one gumball from the machine, what is the probability it will be green?
Write your answer as a fraction or whole number.
Which answer is correct? If someone is good at math, plz help asap. I Will give out Brainlist to whoever helps me.
Answer:
picture is upside down
A student ties a string around a weight and swings the weight in a circle around her body. If the student
represents the Sun and the weight represents
The following diagram describes the number of museums in beach is visited by the Santos family while on vacation.
C is the correct answer
Saj wants to go to all 19 home games at a football club.
For each game, a ticket costs £28
A season ticket
costs £379
and
gives entry to all 19 home games.
In total, how much does Saj save by buying a season ticket?
Answer:
£153
Step-by-step explanation:
If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.
The circumference of a circle is 11 pi inches.
What is the area, in square inches, of the circle? Express your answer in terms of pi
9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
What is the ratio of m and 7 added to 2
Answer:
dndndndndndjdjxndnxnxnxjdjjxxjjddnxnxjjdjdjsjsjs
Step-by-step explanation:
hshshshssjsjznznznznsjshjzzhzh
Please Help me Due in 2 Mins
Help please!!
Brainliest if right
Answer:
top and bottom
Step-by-step explanation:
In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
Step-by-step explanation:
t is the number of years since 2003.
f(t) = $18,500×0.88^t
t = 2 in 2005
f(2) = $18,500×0.88²≅ $14,300
Answer:
$14300.00
Step-by-step explanation:
100 - 12 = 88%
88% = 0.88
$18500 x 0.88² = $14326.40
To the nearest hundread:
$14326.40 = $14300.00
0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.
Hope this helps!
Professor Gym conducts a study in which he determines that there is a correlation of +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell him?
Answer:
Formula
r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}
r = correlation coefficient
x_{i} = values of the x-variable in a sample
\bar{x} = mean of the values of the x-variable
y_{i} = values of the y-variable in a sample
\bar{y} = mean of the values of the y-variable
now try btw use a calcutator
I need some help with this question. Can someone help me pls???
Answer:
24yd I think thats the answer
Answer:
B
Step-by-step explanation:
6 * 4 = 24
[ (9 - 6) * 4 ] / 2 = 6
24 + 6 = 30
Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?
Please Help
The volume of a cylinder is 81 T cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
O A. 13.5 cm
O B. 27 cm
O C. 4.5 cm
O D. 9 cm
Answer:
Step-by-step explanation:
Volume of a cylinder of radius
r
and height
h
is
π
r
2
h
As radius is
3
and area is
81
π
cubic units,
π
3
2
×
h
=
81
π
or
9
π
×
h
=
81
π
Hence
h
=
81
π
9
π
=
9
Answer:
9 cm
Step-by-step explanation:
Ms. Vasquez's daughter lives 1,650 miles away. Ms. Vasquez won a gift card for 100 gallons of gas. If her car can travel 35 miles on each gallon, can she travel roundtrip to see her daughter on free gas? Explain how you know.
Answer:
yes, since it takes 48 gallons of gas to go one direction to go back it is 96
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.
To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.
Is 7/2 the same as 1/5
Answer:
No.
Step-by-step explanation:
Calculation: 2/4 + 3/4 - fraction calculator. Result: 5/4 = 1 1/4.
HELP ME Which One Doesn’t Belong?
7.9x
7.9 (-10)
7.9 + x
-79
Answer:
7.9 + x because all the others are equal to.each other
A rectangular billboard for a high school is 10 feet high and 20 feet long. In a scale model of the school, the billboard is 3.5 inches long.
How many inches tall is the scale model?
Answer:
I think 1.75
Step-by-step explanation:
the long side is two times the amount of the tall side so take the smaller long side and divide by two.
Hi there :D
I am struggling. I will mark brainliest!
Answer:
400.2
Step-by-step explanation:
A = π r l + π r²
l = √r² + h²
Solving for A
A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)
1. Find the slope from the following graph:
ол
5
m = 1/3
m = 3
m = -3
m=-1/3
Answer:
amen
Step-by-step explanation:
amen you have the blood of jesus
I need help with the answer.
On a school field trip, there will be one adult for every 12 students. Which equation could be used to find “a”, the number of adults, if “s”, the number of students, is unknown?
a) a= 12s
b) a= 12/s
c) a= s/12
d) s + 12
please please please help!
Answer:
a) a = 12s
Step-by-step explaination:
Which equation could be used to find the dimensions of the rectangle?
Rewrite 0.81 x
104 in scientific notation.
x 10
HELP ME
Answer:
Ok ill help i guess
Step-by-step explanation:
0.81 X 10000
an investment of 12,000 is losing value at a rate of 4% each year. what is the exponential function to model the situation after 9 years
Answer:
Amount after 9 year = 8,310 (Approx.)
Step-by-step explanation:
Given:
Amount invested = 12,000
Rate on decline = 4% per year = 0.04
Number of year = 9
Find:
Amount after 9 year
Computation:
A = P[1+r]ⁿ
A = 12,000[1-0.04]⁹
A = 12,000[0.96]⁹
A = 12,000[0.6925]
Amount after 9 year = 8,310 (Approx.)
11. Twelve samples of water form a particular source have an average lead concentration of 12.5µg/L with a standard deviation of 2.0µg/L. 1 (a) Find a 95% confidence interval for the lead concentration in water from this source. (b) Can you conclude that the lead concentration is less than 14µg/L?
Answer:
a) The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.
b) The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.
Step-by-step explanation:
We have the standard deviation for the samples, which mean that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 12 - 1 = 11
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.201
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.201\frac{2}{\sqrt{12}} = 1.27[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.5 - 1.27 = 11.23 µg/L.
The upper end of the interval is the sample mean added to M. So it is 12.5 + 1.27 = 13.77 µg/L.
The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.
(b) Can you conclude that the lead concentration is less than 14µg/L?
The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.