9514 1404 393
Answer:
(d)
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)(3.14)(4 m)² = 25.12 m²
The area of the triangle is ...
A = 1/2bh
A = 1/2(12 m)(8 m) = 48 m²
Then the total area of the composite figure is ...
total area = semicircle area + triangle area
= 25.12 m² + 48 m² = 73.12 m²
_____
Additional comment
The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.
You should talk to your teacher about this question. None of the offered choices is correct.
Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
German Test
Step-by-step explanation:
Find common denominator:
34/50=68/100
14/20=70/100
Therefore, Abeer did better on the German test as 14/20>34/50
The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?
Answer:
Step-by-step explanation:600
The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of
Answer:
Step-by-step explanation:
18 tiles and 10 shaded in
The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217
Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 8 dollars.
A. What proportion of the bank's Visa cardholders pay more than 32 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 40 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 19 dollars in interest?
D. What interest payment is exceeded by only 19% of the bank's Visa cardholders?
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
If the maximum of a data set is 50 and the minimum of the set is 10, what is the range?
Answer:
40
explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.
GIVING EVERYTHING IF CORRECT. NO MORE LINKS.
I think the answer is C
Find the solution set of the inequality:
82 + 2 > 34
SOMEONE PLS HELP
Answer:
82+2>34
84>34
True
I hope this helps :)
Which statement can be used to find X
Answer:
it's letter D. cos 16⁰=²¹--x
A triangular prism is shown.
What is the surface area of the triangular
prism?
Answer:
Area= 840
Step-by-step explanation:
Area= (20x13)x2+(10x12x1/2)x2+10x20
=520+120+200
=840
Area=Two area of the triangle [13x20] + Two area of the rectangle + Under area (rectangle)- [10x20]Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
I need the answer ?
Answer: =3x^3+5
Step-by-step explanation: Hope this help :D
the u.s. produces 5.39x 10
The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes
How to express exponents in standard notation?We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.
Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;
5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10
⇒ 5.39 * 10000000
⇒ 53,900,000 metric tonnes
The complete question is;
The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation
Read more about Standard notation at; https://brainly.com/question/5756316
#SPJ1
Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
How could you design an experiment to support the claim that people who watch television for at least 2 hours every night have lower energy in the evening than people who do not watch as much television Include any factors or steps that should be considered .
Step-by-step explanation:
Several ways in which television can disrupt or alter sleep patterns:
The blue light emitted by screens can interfere with your brain’s production of melatonin at night, making it harder for you to fall asleep. Exciting or disturbing content can switch your mind into high gear, making it harder to wind down, and harder to sleep deeply. The timing of television viewing may push back bedtime and contribute to sleep disturbances -- including sleep-related anxieties and difficulty falling asleep. Having a television in the bedroom can undermine your ability to sleep well. Extended viewing may lead to sleep loss, poor quality sleep, and daytime tiredness.People who don't watch Television won't have these problems.
Pls help me with this
What is the measure of angle XYZ?
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
Write the slope-intercept equation of this line.
when the answers are
A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3
Answer:
[tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.
In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.
Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept
In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:
[tex]y=-\frac{1}{2} x-3[/tex]
I hope this helps!
Four groups of some amount equals 52 in a algebraic equation
Answer:
where's the full question
Step-by-step explanation:
What single percentage change is equivalent to a 11% decrease followed by a 13% decrease?
Answer:
77.43% decrease
Step-by-step explanation:
A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89
A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87
A 11% decrease followed by a 13% decrease has an overall change of
0.89 × 0.87 = 0.7743 × 100% = 77.43%
Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?
Answer:
The answer is "40 second".
Step-by-step explanation:
Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.
[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]
Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.
Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?
9514 1404 393
Answer:
A. translation 8 left
Step-by-step explanation:
Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.
Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.
Answer:
a is the answer.
Step-by-step explanation:
Morty spent $54 on tulips and roses and bought a total of 14 flowers. If tulips cost $5 and roses $3
Let t = number of tulips bought
Let r = number of roses bought
a) Write the system.
b) How many of each flower did Morty buy? (Solve the system)
Answer:
a) Let's define the variables:
t = number of tulips bought
r = number of roses bought
We know that each tulip costs $5, and each rose costs $3.
Then the total cost will be:
$5*t + $3*r
We know that Morty spent a total of $54, then we have the equation:
$5*t + $3*r = $54
We also know that he bought a total of 14 flowers, then:
r + t = 14
Then the system of equations is:
$5*t + $3*r = $54
r + t = 14
b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:
r = 14 - t
Now we can replace this into the other equation:
$5*t + $3*r = $54
$5*t + $3*(14 - t) = $54
Now we can solve this for t.
$5*t + $3*14 - $3*t = $54
$2*t + $42 = $54
$2*t = $54 - $42 = $12
t = $12/$2 = 6
t = 6
He bought 6 tulips.
Now we can use the equation r = 14 - t
r = 14 - 6 = 8
r = 8
He bought 8 roses.
In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35
Answer:
4/35
Step-by-step explanation:
Probability of 1 student having no hw is 4/7, then 3/6, then 2/5
4/7 x 3/6 x 2/5 reduces to 4/35
Could you please answer? I'm on a big test
Answer:
it is option C
Step-by-step explanation:
download to help your work
1/ a cube and b to the power 4
Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm
Answer:
The formula for circumference of a circle is
2pi,R.
In which R= radius. Then we Insert 18 in for the circumstances.
so, 18=2πr
then solving for r
18=2
÷. ÷
2. 2
R = 9,,
CAN SOMEONE LLEASE HELP ME IM SO LOST!!
Answer: 1324 in^2
Step-by-step explanation:
PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
Helppp plssssssssssss
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.