Answer:
$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.
Step-by-step explanation:
95% confidence interval: $72 to $198.
This means that we are 95% sure that the true mean spending is between $72 and $198.
From this confidence interval the assistant concluded that people spend an average of $200 a month on entertainment. Is this a reasonable conclusion and why?
$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
8
11
14
16
15
12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Most likely, you won't need to type in the percent symbol since that seems to be already done for you.
=========================================================
Explanation:
The outcome "2" shows up 3 times, as shown in the first column. Let A = 3.
Add up all the values in the bottom row: 3+6+8+11+14+16+15+12+9+5+1 = 100. Let B = 100. This is the total number of dice rolls.
Dividing the two values gets us A/B = 3/100 = 0.03 = 3%
The value "2" shows up 3% of the time, which is the experimental probability of getting a "2".
if a bag of rice weighs 55 kg find the weight of 123 bags of rice
Answer:
6765
Step-by-step explanation:
the answer is 6765
Answer: 6,765 kg
Step-by-step explanation:
55 x 123 = 6,765kg of Rice
Х
Leila is buying a dinosaur model. The price of the model is 2 dollars, and she also has to pay a 7% tax
Which of the following expressions could represent how much Leila pays in total for the model?
Choose 2 answers:
107
1
100
B
0.70 + 2
1.07.2
D
7
+ 1
10
1.72
Answer: 107/100x
1.07x
Step-by-step explanation:
Since the price of the model is x dollars, and she also has to pay a 7% tax, the amount that Leila will pay in total for the model will be the addition of the price of the model and the tax. This will be:
= x + (7% × x)
= x + (7/100 × x)
= x + (0.07 × x)
= x + 0.07x
= 1.07x
This can also be 107/100x
Lines A and B are parallel
A
1/2
3/125°
B
5/6
7/8
m 6 = [ ?]
==============================================
The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.
Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.
x+125 = 180
x = 180-125
x = 55
------------
Or you could approach it this way:
y = measure of angle 2
y+125 = 180
y = 55
angle 6 = angle 2 (corresponding angles)
angle 6 = 55 degrees
-------------
Yet another way you could solve:
z = measure of angle 3
z+125 = 180
z = 55
angle 6 = angle 3 (alternate interior angles)
angle 6 = 55 degrees
A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55
multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST
[tex]\boxed{30.6}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]9 \times 3.4 \\ = 30.6[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
In parallelogram ABCD shown, point E and F are located on diagonal BD and point G is located on side AB such that GE and CF are perpendicular to BD. Prove: trainge BEG is similar to traingle DFC
Answer:
Match the Statement number with the Reason number.
Step-by-step explanation:
Statements:
1.GE is perpendicular to BD
CF is perpendicular to BD
2. Angle GED equal 90
Angle DFC equal 90
3. Angle GED is congruent to Angle DFC
4. Angle GBE is congruent to Angle FDC
5. Triangle BEG is similar to DFC
Reasons:
1.Given
2. Definition of perpendicular lines
3. Transitive property
4. Alternate Interior Angles
5. AA Similarity
By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.
What is a parallelogram?A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.
As we know that AB║ DC
so,∠GBE = ∠CDF (alternate angles)
∠GEB= ∠DFC = 90°
so triangle BEG≈DFC
Therefore, we can say that triangle BEG is similar to triangle DFC
to get more about parallelograms visit:
https://brainly.com/question/12167853
Can someone please answer this ASAP!!!
Make an equation that is equal to 2/3
Answer:
Replace the 4 with a 3 to make the equation true
a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?
Step-by-step explanation:
Given that,
A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.
Let x represent the length of the sides of squares removed from each corner.
(a) The volume of a cuboid is given by :
V = lbh
Put values,
V = x(40-2x)(40-2x)
(b) (40-2x) = -2(x-20)
So,
V = x(40-2x)(40-2x)
= [tex]4x\left(x-20\right)^2[/tex]
(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]
It is a cubic polynomial. Its degree is 3.
A band of 17 pirates stole a sack of gold coins. When they tried to divide the fortune into equal portions, 3 coins remained. In the ensuing brawl over who should get the extra coins, one pirate was killed. The wealth was redistributed, but this time an equal division left 10 coins. Again an argument developed in which another pirate was killed. But now the total fortune was evenly distributed among the survivors. What was the least number of coins that could have been stolen
Answer:
The least number of coins that could have been stolen is 3,930.
Step-by-step explanation:
In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.
Then we can write the total number of coins as a multiple of 17 plus 3.
N = 17*k + 3
where k is an integer.
After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:
N = 16*j + 10
where j is an integer.
Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15
N = 15*m
where m is an integer.
So we have these 3 equations:
N = 17*k + 3
N = 16*j + 10
N = 15*m
So we can express equations like:
15*m = 16*j + 10
15*m = 17*k + 3
Where we need to find solutions such that both of these variables are integers.
For the first one we can write:
15*m - 16*j = 10
One way to do it, is to write this like a linear equation:
m = (16*j + 10)/15
Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:
16*j + 10 is a multiple of 15.
For example, with j = 5 we have:
m = (16*5 + 10)/15 = 6
so j = 5 and m = 6 is a possible solution.
Now if we use m = 6 in the other equation:
15*m = 17*k + 3
we can see if k is also an integer:
k = (15*m - 3)/17
replacing m by 6:
k = (15*6 - 3)/17 = 5.1
This solution does not work.
Let's find others:
if j = 20 (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:
m = (16*20 + 10)/15 = 22
Then:
j = 20 and m = 22 is another solution.
Same as before, let's use m = 22 in the equation for k:
k = (15*22 - 3)/17 = 19.2
Let's find another solution for m.
if j = 35
m = (16*35 + 10)/15 = 38
Using this value of m in the k equation we get:
k = (15*35 - 3)/17 = 33.4
Let's find another solution for m.
if we take j = 50 we get:
m = (15*50 + 10)/15 = 54
Using this in the k equation we get:
k = (15*54 - 3)/17 = 47.5
Eventually, for j = 5 + 15*16 = 245 we get: (arrived by iteration, just try each time using the previous value of j plus 15)
m = (16*245 + 10)/15 = 262
replacing this in the k equation we can find:
k = (15*262 - 3)/17 = 231.
So the first solution is:
j = 245, m = 262, k = 231
Then:
N = 262*15 = 3,930
The least number of coins that could have been stolen is 3,930.
Gina types 150 words in 3 minutes. Linda types 80 words in 2 minutes. How much
longer would Linda take to type 8 pages that contain 500 words on each page?
full working
Answer:
20 minutes
Step-by-step explanation:
It would take 20 minutes longer for Linda to type 8 pages that contain 500 words on each page.
.Here is a 90% confidence interval estimate of theproportion of adults who say that thelaw goes easy on celebrities: 0.645
Answer:
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
In this question:
CI is between 0.645 and 0.842. So the best estimate of the proportion is:
(0.645+0.842)/2 = 0.7435
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
Thare are 2 yellow 3 pink and 5 blue. What is the possibility of drawing two pink marbles if the first one is placed back in the bag before the second draw?
Answer:
3/10
Step-by-step explanation:
If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.
A) 7 B) 6 C) 12
Answer:
8
Step-by-step explanation:
If p is inversely proportional to Q and P is 6 when q = 4, then;
p = k/q
6 = k/4
k = 6*4
k = 24
To get P when q = 3
Recall;
p = k/q
p = 24/3
p = 8
Hence the required value of p is 8
Note that the value of initial Q was assumed
BEST ANSWER GETS BRAINLIEST!!!
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
5x + 2y = 2
3x − 3y = 18
The slopes are the same, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are different, and the y-intercepts are different.
Answer:
option 4
Step-by-step explanation:
[tex]5x + 2y = 2\\2y = -5x + 2\\y = -\frac{5}{2}x + 1\\\\Slope = -\frac{5}{2}, \ y - intercept = 1[/tex]
[tex]3x - 3y = 18\\3y = 3x - 18\\y = x - 6\\\\Slope = 1, \ y - intercept = -6[/tex]
A defense company working for the government claims that at most 6% of its missiles are defective. A sample of 160 missiles is taken and 16 are defective. Test their claim at 1% level.
Required:
State clearly the null and the alternative hypothesis
Answer:
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
Step-by-step explanation:
The null hypothesis is the problem statement and the alternate hypothesis is a contradiction of null hypothesis
Hence,
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
In circle C with mZBCD = 106 and BC = 6 units find area of sector BCD.
Round to the nearest hundredth.
D
с
B
Answer:
33.30 units²
Step-by-step explanation:
Central angle = m<BCD = 106°
Radius (r) = 6 units
Area of sector BCD = central angle/360° × πr²
Plug in the values into the formula
Area of sector BCD = 106/360 × π × 6²
Area of sector BCD = 106/360 × π × 36
Area of sector BCD = 33.3008821
Area of sector BCD = 33.30 units² (nearest hundredth)
can you please answer these four questions
the other answer is 6 8 /11
Answer:
First question: C. 20 7/12
Second question: B. 242
Third question: D. 4.8
Fourth Question: C. 2 5/18
Step-by-step explanation:
Answer:
20 7/12
Step-by-step explanation:
=6 1/2 + 4 2/3 + 9 5/12
=19 19/12
=19 + 1 7/12
=20 7/12
Warner was paid $375.25 for working 25 hours. What was his hourly pay?
Answer:
$15.01 an hour
Step-by-step explanation:
[tex]\frac{375.25}{25}=15.01[/tex]
The distance by road from town A to town B is 257 km. What is 50% of that distance?
Answer: 128.5km
Step-by-step explanation:
Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:
= 50% × 257km
= 50/100 × 257km
= 0.5 × 257km
= 128.5km
Therefore, 50% of the distance is 128.5km.
Karen has calls has 500 or 900 yards of thick soft wool, she has 200 feet at the strore they have 500 feet of wool. How many balls should she buy
Answer:
Yes.
Step-by-step explanation:
Because yes.
Tyrone is building a skateboard ramp with a piece of plywood that is 33 feet long.He wants the height of the ramp to be 22 feet.To make a strong ramp, the base must form a right angle with the back of the ramp.What will be the length of the base rounded to the nearest tenth of a foot?
please hurry and and please show your work!!
Answer:
24.6 ft
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
a^2 + (22 ft)^2 = (33 ft)^2
a^2 + 484 ft^2 = 1089 ft^2
a^2 = 605 ft^2
a = 24.6 ft
Answer: 24.6 ft
need it asap please!!!!
Answer:
they are rational numbers
Write a recursive rule for -3, -1, 2,6,11
Answer:
números enteros que comprende a los positivos y negativos
# form the greatest and smallest 4 digit number repetition of digits is allowed
1) the number is an even number and 2)the number is an odd number
Answer:
1) The smallest is 1000, and the greatest is 9998.
2) The smallest is 1001 and the greatest is 9999.
Step-by-step explanation:
Four digit numbers:
The set of four digit numbers is: {1000, 1001, ...., 9998, 9999}
Even numbers:
End in 0, 2, 4, 6, 8
Odd numbers:
End in 1, 3, 5, 7, 9
1) the number is an even number
The smallest is 1000, and the greatest is 9998.
2)the number is an odd number
The smallest is 1001 and the greatest is 9999.
what is the time in Nigeria WHOEVER GETS IT ROGHT I WILL GIVE YOU BRAINLIEST
Answer:
7:55 PM
hope this helps
have a good day :)
Step-by-step explanation:
please help will award brainliest
Answer:
Slope: 7/5
Step-by-step explanation:
Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.
Hope this helped :)
I need answer to both of the questions please someone!! 20points
Answer:
Step-by-step explanation:
x+62=90 degree (being perpendicular)
x=90-62
x=28 degree
x+25=90 (being perpendicular)
x=90-25
x=65 degree
Answer:
1)X+62 =90
x+62-62=90-62
x =28
2) X+25+90+180 =360
x +295=360
x =360-295
x =65
A triangle has side lengths of
[tex] \sqrt{125} [/tex]
[tex] \sqrt{5} [/tex]
[tex] \sqrt{20} [/tex]
What is the perimeter of the triangle?
[tex]4 \sqrt{5} [/tex]
[tex]6 \sqrt{5} [/tex]
[tex]8 \sqrt{5} [/tex]
none of the answers are correct
Answer:
3 is the right one
Step-by-step explanation:
Simple math you know
What is the area of this trapezoid?
A trapezoid with short base 2 millimeters, long base 3 millimeters, and height 8 millimeters.
A. 8 mm2
B. 16 mm2
C. 20 mm2
D. 40 mm2What is the area of this trapezoid?
A trapezoid with short base 2 millimeters, long base 3 millimeters, and height 8 millimeters.
A. 8 mm2
B. 16 mm2
C. 20 mm2
D. 40 mm2
Answer:
20mm2
Step-by-step explanation:
3+2=5
5divided by 2 = 2.5
2.5 times 8 = 20
Answer:
C. 20 mm²
Step-by-step explanation:
Formula for trapezoid = [tex]\frac{base1 + base 2}{2}*height[/tex]
So 1/2(2+3)*8
1/2(5) * 8
2.5 * 8 = 20
Units area in mm²
20 mm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K