Answers
Answer:
£ 268.2
Step-by-step explanation:
495(1/3)+124(0.5)+(495(2/3)-124)(0.2)=165+62+41.2
=268.2
Answer: £268.20
Step-by-step explanation:
1/3 of 495 is 165.
124 x .50 = 62.
165 + 124 = 289
495 - 289 = 206
206 x .20 = 41.20
165 + 62 + 41.20 = 268.20
Related Questions
A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.
Answers
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Answer:
x = 10°
∠B = 26°
Step-by-step explanation:
complementary means they add up to 90 degrees.
4x + 24 + 3x - 4 = 90°
combine like terms:
7x + 20 = 90°
7x = 70°
x = 10°
Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?
exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times
Answers
Answer:
roughly 20 times
Step-by-step explanation:
2/6 = 1/3 is the probability he will roll a 3 or a 6
1/3 * 60 = 20.
It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.
Mrs. Bush has a carpet remnant left from putting carpet down in her living room.
The carpet remnant was 4 1/8 square units. If the remnant was 3/4 units wide,
what was the length? *
Answers
Answer: The length = [tex]5\dfrac12[/tex] units
Step-by-step explanation:
Given: Area of carpet = [tex]4\dfarc18 \text{ sq. units}=\dfrac{33}{8}\text{ sq. units}[/tex]
Width of carpet = [tex]\dfrac34[/tex] units
Shape of carpet = Rectangle
Area of rectangle = length x width
So,
length = [tex]\dfrac{Area}{width}[/tex]
[tex]=\dfrac{\dfrac{33}{8}}{\dfrac34}\\\\=\dfrac{33}{8}\times\dfrac43\\\\=\dfrac{11}{2}\\\\=5\dfrac12\text{ units}[/tex]
Hence, the length = [tex]5\dfrac12[/tex] units
A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 458 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.
Define the Random Variables X and P', in words. which of the following?
a. X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b. X is the proportion of all runners that die, and P' is the number of all runners that die.
c. X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d. X is the number of all runners that die, and P' is the proportion of all runners that die.
Answers
Answer:
The correct answer is c.
Step-by-step explanation:
x represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion
P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%
P= 6.41÷458×100=1.4%
A toy train set includes a train station building which is a scale model of a real building. The area of
the front side of the toy building is 1 square foot. The real building's front side has an area of 400
square feet. If we view the real building as a dilation of the toy, what is the scale factor?
Your answer
Answers
Answer:
[tex]20[/tex]
Step-by-step explanation:
The area of the front side of the toy model is [tex]1\ \text{ft}^2[/tex]
The area of the real building's front side is [tex]400\ \text{ft}^2[/tex]
So
[tex]1\ \text{ft}^2[/tex] of the toy model is equivalent to [tex]400\ \text{ft}^2[/tex] of the real building.
Area scale factor is given by [tex]k^2[/tex], where [tex]k[/tex] is the scale factor of the sides.
So,
[tex]\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20[/tex]
Hence, the scale factor is [tex]20[/tex].
The scale factor should be 20.
Important information:The area of the front side of the toy building is 1 square foot. The real building's front side has an area of 400 square feet.
Calculation of the scale factor:Since 1 square foot should be equal to 400 square feet
So,
[tex]400\div 1 = k^2[/tex]
[tex]K = \sqrt{400}[/tex]
k = 20
Learn more about the scale factor here: https://brainly.com/question/23908178
geometric mean of 384 and 6
Answers
Answer:
48 is the geometric mean of 384 and 6
Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35
Answers
Answer:
5/6, 7
Step-by-step explanation:
What is the area of the composite figure?
Answers
Hello! :)
[tex]\large\boxed{A = 32.5cm^{2}}[/tex]
We can use the following area to solve for the area of the trapezoid pictured:
[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]
Where:
h = height
b1 = bottom base
b2 = top base
Plug in the given values:
[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]
Simplify:
[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]
You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent
Answers
Answer:
the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Step-by-step explanation:
As given , RST and angle TUR are right angles.
So the triangles are right angle triangles.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
Answers
1part =75
75x4 to get supermarket
which then the answer is 300 cupcakes to for the supermarket
6 more than a quotient of nine and a number p
Answers
Answer:
9/p+6
Step-by-step explanation:
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answers
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Which rule describes the translation?
O (x, y) = (x – 8, y - 3)
O (x, y) - (x - 3, y+8)
O (x, y) = (x + 8, y-3)
O (x, y) - (x + 3, y + 8)
Answers
Answer:
c
Step-by-step explanation:
translations assignment
A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:
a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.
Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced
Answers
Step-by-step explanation:
W = Set of projects the guitarist wrote
P = Set of products he produced
A bass guitarist worked on 15 music projects last year.
Universal set = 15
He wrote and produced 5 projects.
W ∩ P = 5
He wrote a total of 9 projects.
W = 9
The Venn Diagram is given in the attached image.
a. How many projects he wrote but did not produce (W - P)?
W - P = W - W ∩ P
W - P = 9 - 5 = 4
He wrote 4 projects but did not produce them.
b. How many projects he produced but did not write (P - W)?
Universal set = (W - P) + (P - W) + W ∩ P
15 = 4 + (P - W) + 5
(P - W) = 15 - 9 = 6
He produced 6 projects but did not write them
Solve for y: y+4 = -2(x – 6)
Answers
l hope that helps
I really need help with this so plz give a good answer
Answers
Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0
Answers
Answer:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answers
Answer:
it's just 8/20 so shade 8/20 of the circle
Name the integers from the list below.
2 , -4,0, 32, 5.31, V70, V7,31, 1.3636636663...
Answers
Answer:
The first 4
Step-by-step explanation:
any that are whole numbers
Describe how the volume of a triangular prism and a triangular pyramid with the same dimensions are related.
Answers
Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
volume of the prism is three times the volume of the pyramid with the same dimensions.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Volume of a triangular prism = area of base triangle × length of the prism
The volume of a triangular pyramid = (1/3) × Base Area × Height
The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ2
The two trapezoids below are similar. What is the length of EF
Answers
Answer:
answer is 6
Step-by-step explanation:
i know answer is 2 weeks late
Please solve -6+7x=50
Answers
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6+7x=50
Step 1: Simplify both sides of the equation.
7x−6=50
Step 2: Add 6 to both sides.
7x−6+6=50+6
7x=56
Step 3: Divide both sides by 7.
7x/7 = 56/7
x=8
have a wonderful day
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answers
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine. Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02
Answers
Answer:
Answer:
Part A: 99% CI is given by : (0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Step-by-step explanation:
Part A:
The test statistic p^ ±z sqrt (p`q`/n) will be used because
It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.
Here
p= proportion of vaccine- eligible people who received flu vaccine
Sample size= n= 2350
Sample success= p^=978/2350= 0.4161
Sample failure= q^= 1-p`= 1- 0.4161= 0.5838
For 99% CI the z- value is 2.576
Using the test static
p^ ±z sqrt (p^q^/n)
0.4161± 2.576 sqrt( 0.4161*0.5838/2350)
0.4161± 2.576 * 0.010167
0.4161± 0.02619
(0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
z* sqrt ( p^q^/n) ≤ 0.02
sqrt ( p^q^/n) ≤ 0.02/z
Taking square of both sides
( p^q^/n) ≤ [0.02/z]²
Reciprocating both sides
n/p^q^ ≥[ z/ 0.02]²
n≥[ z/ 0.02]²p^q^
n≥ z²p^q^/[ 0.02]²
Putting the values
n ≥(2.576)² (0.5)(0.5)/ 0.2²
n≥ [2.576 /2 (0.02) ]²
n≥4,147.36
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
10
Which of the following is the midpoint between (3, 2) and (-3, 4)?
(0, 3)
(0, 3/2)
(6, 3/2)
(-6, 3)
Answers
Answer:
(0, 3)
Step-by-step explanation:
(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)
Quadrilateral GHJK is a rectangle.
Find the measure of angle 1, given that the measure of angle 4 is 54°. *
(1 Point)
54°
46°
126°
134°
Answers
Answer:
126 degrees
Step-by-step explanation:
The sum of adjacent side of the rectangle is 180 degrees
Hence <1 + <4 = 180 degrees
Given
<4 = 54 degrees
<1 = 180 - <4
<1 = 180 - 54
<1 = 126degrees
Hence the value of <1 is 126 degrees
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Answers
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
I need help I have 20mons left
Answers
Answer:
y=1/2x-7
your welcomee
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Answers
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answers
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!