Ted ate 3 pieces of the pizza. what is the area of the remaining pizza if the diameter of the pizza is 18 inches?
A. 95.4 square inches
B. 381.7 square inches
C. 159.0 square inches
D. 636.2 square inches.
Answer:
C. 159.0 square inches
Step-by-step explanation:
Given that
Ted ate 3 pieces of the pizza
We need to find out the area of the remaining pizza in the case when the pizza diameter is 18 inches
Since the large circular pizza is divided into 8 equal slices
Now the radius of a pizza is
= 18 ÷ 2
= 9 inches
Now the angle subtended by each pizza is
= 360 degrees ÷ 9 inches
= 45 degrees
Now the area of the each pizza is
= [tex]\theta[/tex] ÷ 360 × πr^2
= 45 ÷ 360 × 3.14 × 9^2
= 31.7925
Now the area of the remaining pizza is
= 5 × 31.7925
= 158.9625
= 159 square inches
In a survey, 150 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The results are summarized in the table below.
Work out the size of angle B
Answer:
61
Step-by-step explanation:
and let c looks to be a right angle
Answer:
61° hope this helps
sin 135°=
[tex] \frac{ \sqrt{2} }{2} [/tex]
tan 135°=?
Answer:
-1
(i got the answer from a calculator, hope it helps)
The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees Fahrenheit with a standard deviation of 3 degrees. The manager would like to conduct a t-test for the population mean temperature of all cups of coffee served at this restaurant. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answer:
C. No, the Normal/large sample condition is not met.
Step-by-step explanation:
There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers
No, the Normal/large sample condition is not met.
Option C is the correct answer.
What is a t-test?A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.
It is used when the sample size is small or the population standard deviation is unknown.
We have,
The conditions for inference in a t-test are:
Random condition:
The sample should be selected randomly from the population to ensure that the sample is representative of the population.
Normal/large sample condition:
The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.
Independence condition:
The observations in the sample should be independent of each other.
In this case,
The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.
Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.
Thus,
No, the Normal/large sample condition is not met.
Learn more about t-test here:
https://brainly.com/question/15870238
#SPJ3
show work
Simplify this expression by combining the like terms
7y + 10 + 3y - 4 - 6y
A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the number's units digit will be less than 5? Express your answer as a common fraction.
Answer:
1/2
Step-by-step explanation:
there are 10 possible digits, 0, 1, 2, ... 9
only 5 are under five, which are 0, 1, 2, 3, and 4.
so it's 5/10, or 1/2
Help me find the surface area :)
Answer:
Step-by-step explanation:
unknown base side = √7²+7²= √98=7√2
SA = (2×½×7×7)+ (7+7+7√2)(10)
= 49 + 140 + 70√2
= (189 + 70√2) ft²
or
= 287.99 ft²
The perimeter of an inceles triangle is 21 meters. The length of one
sade is 3 meters longer than the length of the other two sides. Find the
length of each side
Answer:
The sides are 6, 6 and 9
Step-by-step explanation:
Isosoles triangles have two sides the same length, s
Here the third side is 3 meters longer (s + 3)
therefor the perimeter is
s + s + (s + 3) = 21
Combine like terms
3s + 3 = 21
Subtract 3 from both sides
3s = 18
Divide both sides by 3
s = 6
s + 3 = 9
The sides are 6, 6 and 9
please help me find x.
Answer:
81°
Step-by-step explanation:
x + 99 = 180
x = 180 - 99
x = 81
Answer:
x = 81°
Step-by-step explanation:
The two angles shown add up to 180° because they are supplementary because they forma straight line. So, we can write an equation to model the situation:
x° + 99° = 180°
x = 81°
a 2.5kg mass is held above the ground and has 50 J of gravitational potential energy. the mass is then dropped and accelerates to the ground. find the speed that the mass has when it collides with the ground
Answer:
[tex]6.3m/s[/tex]
Step-by-step explanation:
Note: We will take g as 9.8 in this question.
The two equations we will use for this questions are:
[tex]G.P.E = mgh[/tex], m = mass, g = acceleration due to gravity
and the SUVAT equation: [tex]v^2=u^2+2as[/tex]
First, let's start out by finding the height from which the object is being dropped. We can do this by using the gravitational potential energy formula.
Subbing the values we have:
[tex]50 = 2.5*9.8*h[/tex]
[tex]h = 2.04[/tex] - re-arranging for the height we get a height of 2.04.
Now we will use the SUVAT equation. Let's set out the variables we have:
[tex]S=2.04\\U=0\\V=?\\A=9.8\\T=N/A[/tex]
U (initial speed) is equal to 0 because we are dropping the object from rest. Acceleration is equal to 9.8 as that is the acceleration due to gravity. The displacement (S) is the height we just worked out.
Now let's put them into one of the SUVAT equations:
[tex]v^2=u^2+2as[/tex]
[tex]v^2=(0)^2+2(9.8)(2.04)[/tex]
[tex]v^2=39.984[/tex]
[tex]v=6.3 m/s[/tex]
help me with my math please
Answer:
You answer is B i believe. If it is not, then it is A. I know for sure it is not C or D.
Step-by-step explanation:
ILL MARK BRAINIEST IF YOU CAN DO THE RIGHT!!!
Answer:
5/2
Step-by-step explanation:
We first find the equation of the line. The slope-intercept form of a line is y = mx + b, where b is the y-intercept and m is the slope. We already know the y-intercept, which is (0,5). Therefore, our current equation is:
y = mx + 5.
We use (0,5) and (1,3) to find the slope. We subtract the two y-coordinates, 5 - 3 = 2. We subtract the x-coordinates, 0 - 1 = - 1. The slope is given as rise/run, which is (y-coordinate difference)/(x-coordinate difference. Thus, the slope is 2/-1, which is just -2. Now, we put -2 in place of m:
y = -2x + 5.
The x-intercept is when the y-coordinate is equal to 0. So we substitute 0 for y:
0 = -2x + 5
-5 = -2x
x = 5/2
Simplify the expression (2 + 33)
Answer:
35
Step-by-step explanation:
In ΔWXY, x = 32 inches, y = 96 inches and ∠W=16°. Find the area of ΔWXY, to the nearest square inch.
Answer:
Step-by-step explanation:
423
If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards
did he mow during the rest of the week?
Answer:
I am going with zero yards.
Step-by-step explanation:
If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards
did he mow during the rest of the week?
If he mowed 14x² + 12x – 3 yards for the entire 7 days of the week. He would not have anymore days to left in the week to mow, so he mowed ZERO more yards
Find the exact value of tan A in simplest radical form.
Answer:
tan A = √(3)/3[tex]tan A=\frac{\sqrt{3} }{3}[/tex]
Explanation:
tan = opposite/adjacent
tan A = BC/AC
tan A = 5/√75
tan A = 5/√(25×3)
tan A = 5/5√3
tan A = 1/√3
tan A = 1/√3 × √3/√3 (rationalizing the denominator)
tan A = √(3)/3
[tex]tan A=\frac{\sqrt{3} }{3}[/tex]
2x – 5x + 16 = –3(x – 6)
Answer:
0
Step-by-step explanation:
2x – 5x + 16 = –3(x – 6)
2x - 5x + 16 = -3x + 18
-3x + 16 = -3x + 18
0x = 1
x = 0
Answer:
x = ∅
Step-by-step explanation:
2x - 5x + 16 = - 3 (x - 6)
combine like terms
- 3x + 16 = - 3 (x - 6)
distribute
- 3x + 16 = - 3x + 18
subtract 3x from both sides
16 = 18
The equation is false and so x = ∅
Determine which statements are reasonable conclusions based on the data.
Choose Yes or No for each statement.
a. The point at (19, 14) is an outlier because it is outside the main cluster of data.
b. As the number of hits increases, the number of runs scored tends to decrease.
There is a positive linear association between the number of hits and the
number of runs scored.
d. There is a non-linear association between the number of hits and the
number of runs scored.
The point at (7, 13) is an outlier because it is the only game for which the
number of runs is greater than the number of hits.
f. If the trend continues, for a game when Tyler's team gets 20 hits, the number
of runs scored will most likely be greater than 10.
Yes No
Yes No
Yes No
curriculum Associates, 11.0
Coming permitted for classroom se
Grade Lesson 28 Scatter Plots
2
Answer:
no yes no
Step-by-step explanation:
630
Solve for <2.
*2 = [?]°
142
57°123°
please explain as well
Step-by-step explanation:
the total angles in the triangle are 180°
so,
63° + 57° + ∠2 = 180°
120° + ∠2 = 180°
∠2 = 180° - 120°
∠2 = 60°
#CMIIW5. In the regular decagon shown, what is the measure of angle 1? *
1 point
One Exterior Angle of a REGULAR Polygon
OneEx 4 = 360
(
18 degrees
O
36 degrees
72 degrees
0
180 degrees
The image of the hexagon is missing, so i have attached it.
Answer:
∠1 = 36°
Step-by-step explanation:
From the image attached, we can see that the polygon is regular and has 10 sides.
Formula for an interior angle of a regular polygon is;
θ = 180(n - 2)/n
Where n is the number of sides of the polygon.
Thus;
θ = 180(10 - 2)/10
θ = 144°
Now, ∠1 forms a straight line with one of the interior angles of the polygon.
Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°
Thus;
144° + ∠1 = 180°
∠1 = 180° - 144°
∠1 = 36°
Simplify -|-7 + 4|. how can i do and what is the answer for it
Answer:
the answer is -3, please don't click or put the link from the other answer in your browser
If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.
Answer:
BC
Step-by-step explanation:
it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle
In Texas the state sales
tax rate is 6%. Beth
purchases a washing
machine at $420.00
and a dryer for
$360.00
How much will Beth's total be
including state sales tax
Answer: $826.8
Step-by-step explanation:
First, we add the amount of money that the machines sold for:
$420 + $360 = $780
Next, we multiply it by the sales tax, 6%,
$780 x 6%(0.06) = $46.80
Finally, we add this to the total:
$780 + $46.80 = $826.80
Alternatively, you can add the total sales and multiply by 106% using the 2-step method.
Answer:
In Texas the state sales
tax rate is 6%. Beth
purchases a washing
machine at $420.00
and a dryer for
$360.00
How much will Beth's total be
including state sales tax
A rectangle has a perimeter of 46 meters and a base of 8 meters. What is the height?
Answer:
15 metres
Step-by-step explanation:
perimeter of rectangle = 2(base + height)
=2(8+h) = 46
= 16 + 2h = 46
= 2h = 46 - 16
= 2h = 30
= h = 15
15 metres is the height of rectangle
help pls!!!! no links pls and thank you sm!!!
Answer:
after 10 months farm a and b have the same amount of animals
Step-by-step explanation:
hope this helps :)
Please help me explain
*this is assuming I read her handwriting correctly
First, put the values in order from least to greatest.
2, 18, 3, 2, 9, 17, 41, 22, 25, 27, 17, 5, 4 becomes
2, 2, 3, 4, 5, 9, 17, 17, 18, 22, 25, 27, 41
The mean is the sum of all the values divided by the number of values.
2 + 2 + 3 + 4 + 5 + 9 + 17 + 17 + 18 + 22 + 25 + 27 + 41 = 192. 192/13 = 14.7692308, which rounds to 14.8
The median is the number in the middle, which is 17.
The mode is 2 AND 17, because those are the numbers that appear most often.
Range is the maximum value minus the minimum value. 41 - 2 = 39 so that is the range.
Upper quartile is the median of all the numbers to the right of 17. Median of 17, 18, 22, 25, 27, 41 is 23.5 because it is the mean of the 2 numbers in the middle.
Lower quartile is the median of all the numbers to the left of 17. Median of 2, 2, 2, 3, 4, 5, 9 is 3.5 because it is the mean of the 2 numbers in the middle.
What is the probability of choosing a red chip from a bag containing 3 red, 2 blue, and 5 yellow chips?
Find x
(Secant tangent angles)
Helppp
Answer:
x = 35
Step-by-step explanation:
The secant- secant angle x is half the difference of the intercepted arcs
The 4 arcs in the circle sum to 360° then
PQ = 360 - (104 + 104 + 111) = 360 - 319 = 41 , then
x = [tex]\frac{1}{2}[/tex] (RS - PQ) = [tex]\frac{1}{2}[/tex] (111 - 41) = 0.5 × 70 = 35
Nicole rolls a six-sided die. What is the probability that Nicole will roll an odd number?
A.1/2
B.5/6
C.1/6
D.4/6