Answer:
£6.05
Step-by-step explanation:
Multiply the number of coffees by the cost of coffee:
5 × 65p
325p
Multiply the number of teas by the cost of tea:
2 × £1.40
£2.80
Add the two answers together:
325p + £2.80
Convert p to £
£3.25 + £2.80
£6.05
Question:
A group of health researchers survey a SRS of 300 teenagers, of whom 120 have low weekly outdoor activity levels and 180 have high weekly outdoor activity levels. Suppose that 35 percent of teenagers with low outdoor activity levels have allergies, and that 41 percent of teenagers with high outdoor activity levels have allergies. The researchers want to see the difference between the sample proportions. What will be the shape of the sampling distribution be and why?
Choices:
A. Approximately normal, because we expect 105 successes and 195 failures from teenagers with low levels, and 123 and 177 from teenagers with high levels, and all of these counts are at least 10.
B. Approximately normal, because we expect 42 successes and 78 failures from teenagers with low levels, and 73.8 and 106.2 from teenagers with high levels, and all of these counts are at least 10.
C. Not normal, because we expect fewer than 10 failures in both samples.
D. Not normal, because we expect fewer than 10 successes in both samples.
Answer:
B
Step-by-step explanation:
Gal Gadot borrows $125,000 at a yearly simple interest rate of 4.5%. How much would she pay, in total, if she paid off the loan in 15 years?
Answer:
$241,910.31
Step-by-step explanation:
Compound interest
125,000(1.045)^15
Also, Gal Gadot is the best!
Anybody please help me
PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?
A. States had to pay taxes set by Congress and provide soldiers during war time.
B. States had to provide representatives to Congress but soldiers were sent only to state militaries.
C. States sent representatives to Congress and provided soldiers and some officers to protect the country.
D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.
Answer:
States sent representatives to Congress and provided soldiers and some officers to protect the country.
Whats the volume of the cone?
use the fórmula V=1/3πr^2h.
D is correct. you’re welcome.
HELP HELP HELPPPPP PLEASEEE
Answer:
A
Step-by-step explanation:
1/2f
Answer:
A
the first option
Step-by-step explanation:
5
A system of equations is shown.
y = 2x – 7
y = -x + 5
What is the solution to the system of equations?
Answer:
x = 4
Step-by-step explanation:
Eliminate y by setting the first equation equal to the second:
2x - 7 = -x + 5
Combining like terms, we get:
3x = 12, so that x must be 4.
2. Karina would like to go with Rhia to Michigan, but by the time she purchased her ticket, she
realized she will need to earn $1,593 to pay for the trip herself. Karina babysits and earns $15
per hour. How many hours will Karina need to babysit in order to earn all of the money she
needs for the trip to Michigan?
Find the length of the segment indicated.
A) 8.3
C) 9.3
B) 14
D) 10
Answer:
B
Step-by-step explanation:
radius + equivalent tangents
The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :
Answer: length = 10 yards
Width = 4.5 yard
Step-by-step explanation:
Let the width be represented by x.
Since the length of a rectangle is 1 yd more than twice the width. This will be:
= (2 × x) + 1
= 2x+1
Area = 45
Note that length × breadth = Area
(2x + 1) × x = 45
2x² + x = 45
Equate the equation to 0
2x² + x - 45 = 0
2x² + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9) = 0
2x = 9
x = 9/2
The width is 4.5 yard
Length = 2x + 1
= 2(4.5) + 1
= 9 + 1
= 10 yard
A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.
What is the area? pleaseee helppppp
Answer:
A = 12 sq in
Step-by-step explanation:
A = bh/2
A = 6(4)/2
A = 12
Solve the 4 letter code please I need it before midnight, it's not a word.
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal
Given:
The length of the football field = 360 feet
The length of the titanic = 883 feet
To find:
About how many football fields long was the titanic?
Solution:
We have,
Length of the football field = 360 feet
Length of the titanic = 883 feet
Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.
[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]
[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]
[tex]\text{Number of required football fields}=2.452777...[/tex]
[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]
[tex]\text{Number of required football fields}\approx 2[/tex]
Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were 140 five-dollar bills, and 255 one-dollar bills. What expression could he use to find out how much money was collected?
Whoever answers first gets brainlest! :)
Answer:
(140 × $5) + (255 × $1)
Therefore, the money was collected is $ [tex]955[/tex].
What is an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Here given that,
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were [tex]140[/tex] five-dollar bills, and [tex]255vvv[/tex] one-dollar bills.
So, it is of the form:-
[tex](140[/tex] ×[tex]5)+(255[/tex] ×[tex]1)[/tex]
[tex]=700+255\\\\[/tex]
[tex]=955[/tex]$
Hence, the money was collected is $ [tex]955[/tex].
To know more about the expression
https://brainly.com/question/2802161
#SPJ2
The weight limit for suitcase is 23 kg. You want to make sure that you will not be charged baggage fees on your flight back. What is the weight limit in pounds? 1 kg = 2.2 pounds.
Answer:
33lbs
Step-by-step explanation:
Solve for x in the picture below
Answer:
x = 16
Step-by-step explanation:
The sum of the exterior angles of a triangle = 360°
Sum the exterior angles and equate to 360
5x + 12 + 10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 15
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
Let's mark the measures of the internal angles as A, B and C.
We know that
A + B + C = 180deg
180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg
3*180deg - (A + B + C) = (24x - 24)deg
540deg - 180deg = (24x - 24)deg
360deg = (24x - 24)deg
360 = 24x - 24
384 = 24x
15 = x
Find a unit vector in the direction of the given vector.
v = 9i − 6j
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
What is the volume of a sphere with a radius of 3 inches?
12 pi cubic inches
24 pi cubic inches
36 pi cubic inches
48 pi cubic inches
Answer:
36π cubic inches
Step-by-step explanation:
V = 4/3 πr³
radius (r): 3
= 4/3π(3)³
= 4/3π (27)
= 36π
Which equation below describes the angle measurements of a night isosceles
triangle?
А
90 + 2(45) = 180
B
180 = 90 + 40 + 50
c (180) = 60
D (90) + 90 = 180
What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Select one:
O A. y = - 2x - 2
O B. y = 2x + 2
O C. y = x - 2
O D. y = 2x - 2
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]
A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]
So, option D is correct.
9x -5y = 16
-3x + 7y = 16
-4x - 2y = 14
10x - 7y = 25
Help me please I’ll mark brainliest!!!!
Answer:
1.5
Step-by-step explanation:
..........................................l
Answer:
It's the B ,
B y=3x-1
hope this help you
Answer:
b
Step-by-step explanation:
Each x value in the table is multiplied by 3 and then subtracted by 1
A cohort study of smoking and lung cancer was conducted in a small island population. There were a total of 1,000 people in the study, and the study was conducted over a ten year period. Four hundred were smokers and 600 were not. Of the smokers, fifty developed lung cancer. Of the non-smokers, 10 developed lung cancer. In order to measure the strength of association between smoking and lung cancer in this population, which measure of exposure-disease association would you use
Answer:
A measure of exposure-disease association one could use is the odds ratio (OR)
Step-by-step explanation:
An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome
The odds ratio gives the probability of outcome where there is a given amount of exposure
We have the table;
[tex]\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}[/tex]
The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)
∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.[tex]\overline{428571}[/tex] ≈ 8.4
Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.
If n = 3, what is the value of 6n – 3?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
6×3−3
Multiply 6 and 3 to get 18.
18−3
Subtract 3 from 18 to get 15.
15
A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the bottom. The paint covers approximately 90 square feet per quart. How many quarts of paint do you need to buy? You need to buy quarts of paint.
Answer:
You need to buy 3 quarts of paint.
Step-by-step explanation:
Given
[tex]Coats =2[/tex]
[tex]Paint = 90ft^2/qt[/tex]
See attachment for stage
Required
Determine the number of quarts needed
First, we calculate the surface area of the stage (without the base).
This is calculated as:
Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.
For the first rectangle, we have:
[tex]A_1 =Length * Width[/tex]
[tex]A_1 = 15.2 * 19.5 =296.4[/tex]
For the second rectangle, we have:
[tex]A_2 =Length * Width[/tex]
[tex]A_2 = 6* 19.5 = 117[/tex]
For each triangle on both sides
[tex]A_3 = 0.5 * Base * Height[/tex]
[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]
So, the total area is:
[tex]Area = A_1 + A_2 + 2 *A_3[/tex]
[tex]Area = 296.4 + 117+ 2 *42[/tex]
[tex]Area = 497.4ft^2[/tex]
The amount of paint need is:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
From the question, we understand that:
[tex]1\ coat =90ft^2/quart[/tex]
Multiply both sides by 2
[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]
[tex]2 \ coats =180ft^2/quart[/tex]
So, we have:
[tex]Amount = \frac{Area}{2\ coats}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]
[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]
[tex]Amount = \frac{497.4}{180}quart[/tex]
[tex]Amount = 2.763\ quarts[/tex]
[tex]Amount \approx 3\ quarts[/tex] --- approximated
Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.
Answer:
Volume of big cylinder = 1,438.76 cm (Approx.)
Step-by-step explanation:
Given:
Height of smaller cylinder = 3 cm
Height of big cylinder = 6 cm
Volume of smaller cylinder = 30 cm³
Find:
Volume of big cylinder
Computation:
Volume of smaller cylinder = πr²h
(22/7)(r²)(3) = 30
Radius of small cylinder = 1.783 cm (Approx.)
So,
Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)
Volume of big cylinder = πr²h
Volume of big cylinder = (22/7)(3.566)²(6)
Volume of big cylinder = 1,438.76 cm (Approx.)
Which of the rectangular boxes shown has the greater volume?
A. The green box.
B. The purple box.
C. They have equal volumes.
D. There is not enough information to tell.
Answer:
C
Step-by-step explanation:
volumes are width x height x length
4 x 2 x 2 = 16
8 x 2 x 1 = 16
Youll thank me later!
Answer:
Step-by-step explanation:
thx
