Answers
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
21^2+b^2=29^2
441+b^2=841
b^2=841-441
b^2=400
b=[tex]\sqrt{400[/tex]
b=20
therefore the length of a missing side is 20.
Answer:
20
Step-by-step explanation:
Use Pythagorean theorem. A^2+B^2=C^2
29 is the hypotenuse.
21^2+x^2=29^2
x=20
Related Questions
An economist, an expert in the study of sales and production of goods and services, is interested in studying the average amount of money people spend, each month, on entertainment. For example, he wants to know how much people spend, each month, going to the movies, attending a concert, etc. His assistant conducted a poll of 500 randomly selected people across the country. He found a 95% confidence interval: $72 to $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
Answers
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.
Help pleaseeeee thanks
Answers
Answer:
We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;
4 l 8, 9
5 l 1, 6, 8, 8, 9
6 l 8, 9, 9, 9, 9
7 l 0, 2, 2, 2, 5, 5
8 l 0, 9
Hope this helps!
what is the value of b?
Answers
Answer:
24
Step-by-step explanation:
2b = b+24
2b-b = 24
b = 24
Can someone help with this problem please.
Answers
The ball is 57 feet from the hole.
Explanation:
The distance from the tee to the hole is 181 yards.
Using the Pythagoras Theorem,
x^2 + 180^2 = 181^2
x^2 + 32400 = 32761
x^2 = 361
x = sqrt(361)
x = 19 yards
1 yard = 3 feet
x = 19 yards = 57 feet
What needs to be done before you can add or subtract in this equation?
X - 3/4 = 1/2
A)multiply by the reciprocal of 3/4
B)multiply by the reciprocal of 1/2
C)Find the LCD between 1/2 and 3/4
Answers
Answer:
A)
Step-by-step explanation:
What is the solution to this system of equations?
3x+2y=−10
y=−x−4
Possible Answers
-2, -2 -2, 2 -18, 14 no solution
Answers
What’s the answer to this one?
Answers
Sum of the interior angles of any triangle equal 180 degrees , Thus :
A + B + C = 180
48 + B + 67 = 180
B + 115 = 180
B = 180 - 115
B = 65 degrees
Answer:
B = 65°
Step-by-step explanation:
Area of triangle,
→ 180° = A + B + C
→ 180° = 48° + B + 67°
→ 180° = 115° + B
→ B = 180° - 115°
→ B = 65°
Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.
Answers
Answer:
tan 0 = -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
what is the percentile rank of 45 in the following length
24, 27, 27, 32, 34, 35, 35, 37, 38,41, 42, 44, 45, 45, 48, 49, 50, 52, 52
Answers
Answer:
63%.
Step-by-step explanation:
There are 12 scores below 45 and total number of scores = 19.
So percentile rank= (12/19) * 100
= 63%.
Find the measures of angle 1 and 2.
110°
80°
Answers
Answer:
110 and 100
Step-by-step explanation:
Angle 2 will have the same messurement as the one across, so 110
Angle 1 will be the difference between 180 and 80, so 100
if x is directly proportional to y and x= 4.5 when y = 3 find y when x = 24.
A) 63 B) 85 C) 16
Answers
x=4.5 - - -> y=3
x=24 - - - -> y= n
4.5n= 72
n= 72/4.5
n= 16
the answer is C) 16
Y= 3
X=24
Answer: C) 16
N (4,-2)
Given the point A(-2, 3) and B(4,8), determine the coordinates of point P on directed line segment AB that
partitions AB in the ratio 1/5.
Answers
Area of triangle with sides a=8, b= 10, c=7
Answers
Answer:
d equal 10 this is the answer
Can someone help me answering this question
Answers
Answer: Choice D)
Determine the percentage of values occurring above and below that value
==========================================================
Explanation:
Let's go through the answer choices
A) If we add up all the scores and divide by n, which is the number of scores, then we get the sample mean xbar. We can refer to this as simply the mean. This won't get us the percentile, so we can rule out choice A.B) Subtracting the max and min gets us the range. Range = max - min. We can rule out choice B. C) We can rule out choice C. The steps described here determine the mean absolute deviation (MAD) which is similar in nature to the standard deviation. It tells us how spread out the data set is, so it's somewhat related to the range as well. Unfortunately, we can't figure anything about percentiles with this.D) This must be the answer as there isn't anything left. Turns out this set of steps is the correct method to find the percentile. Technically all you need to do is the "below" portion and ignore the "above" portion of the statement. If we say "the 25th percentile is K", then that is another way of saying "25% of the data is below K".Answer:
D
Step-by-step explanation:
Find the slope on the line?
Answers
Answer:
slope=0
Step-by-step explanation:
Hi there!
We're given a graph with a line and two marked points on the graph: (-1,3) and (3,3)
the formula given for slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points
we have our two points: (-1,3) and (3,3) and we can label them:
x1=-1
y1=3
x2=3
y2=3
now substitute into the formula
note: Remember the formula shows SUBTRACTION, even though we have NEGATIVE numbers. When we simplify, we'll add the numbers.
slope=(3-3)/(3--1)
simplify
slope=0/4
divide
slope=0
Hope this helps!
The area of the semi circle is 8
Answers
Answer:
Consider a circle of radius 8 centimetres. Recall that the centre angle in a circle is always 360˚ . However, a semi-circle is a circle cut in half.
Step-by-step explanation:
So, the formula for the area of a semicircle is A = pi * r^2/2. Let's use that formula to calculate the area of a semicircle with a radius of 8 inches. We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation.
20% of the patron's order the chef's special. The probability that 2 out of the next ten customers will order the chef's special is
Answers
Answer:
[tex]P(x =2) = 0.3020[/tex]
Step-by-step explanation:
Given
[tex]p =20\% = 0.20[/tex]
[tex]n = 10[/tex]
Required
[tex]P(x = 2)[/tex]
This question is an illustration of binomial distribution where:
[tex]P(X = x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]
So, we have:
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}[/tex]
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8[/tex]
This gives
[tex]P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8[/tex]
Expand
[tex]P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 45 * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 0.3020[/tex]
The probability that 2 out of the next ten customers will order the chef special is 0.3020. and this can be determined by using the binomial distribution.
Given :
20% of the patron's order the chef's special. Sample size, n = 10To determine the probability formula of the binomial distribution is used, that is:
[tex]\rm P(x = r) = \; ^nC_r \times p^r \times (1 - p)^{n-r}[/tex]
Now, at n = 10 and r = 2, the probability is given by:
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (1 - 0.2)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (0.8)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; \dfrac{10!}{(10-2)!\times 2!} \times (0.2)^2 \times (0.8)^{8}[/tex]
[tex]\rm P(x = 2) = \; 45 \times (0.2)^2 \times (0.8)^{8}[/tex]
P(x = 2) = 0.3020
The probability that 2 out of the next ten customers will order the chef special is 0.3020.
For more information, refer to the link given below:
https://brainly.com/question/1957976
Find the Area of the shaded region. Round your answer to the nearest tenth.
Answers
Answer:
210 ft^2
Step-by-step explanation:
The figure is made up of a rectangle 15 ft by 12 ft and a triangle with base 15 ft and height 4 ft.
A = LW + BH/2
A = (15 ft)(12 ft) + (15 ft)(4 ft)/2
A = 180 ft^2 + 30 ft^2
A = 210 ft^2
Answer:
210ft²
Step-by-step explanation:
Step one, find the area of the square. --->
A= bh (Area equals base times the height)
15×12=180
Step two, find the area of the triangle.
A=bh÷2 (Area equals base times the height divided by 2)
4×15= 60÷2= 30
Step three, add the solutions together
180+30=210
What’s the answer and how do you figure these out?
Answers
what is the surface area in square inches of the prism
Answers
Answer: the answer is 25
Step-by-step explanation:
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
sub(H,0): Level of math is independent of/dependent on grade level.
sub(H,1): Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Honors Math Regular Math General Math
6th Grade
7th Grade
8th Grade
After running an independence test, can it be concluded that level of math is dependent on grade level?
Yes/No
Answers
Answer:
use Ma.thway it helps
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answers
Answer:
A and E
Step-by-step explanation:
B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.
C only consist of one data, temperature of Chicago at noon yesterday only.
Find the diameter and radius of the circle given the circumference.
C = 81.3 cm
d =
r=
Word Bank:
32.18
25.88
16.09 20.32
12.94 40.65
Answers
C=2 pie r
81.3/2pie=r
R=12.94
D=2r
D= 25.88
Determine whether the following system is consistent or inconsistent and if it is independent or dependent.
Y=2x-3 and 2x-2y=2
Answers
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is consistent and independent.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
What is m∠A?
Help plz
Answers
Answer:
66
Step-by-step explanation:
180 - 57-57
Given that is directly proportional to (p-1)2 and p is always positive, find the
value of p when q = 80 , if 9= 30 when p = 7
A) 4
B) 6
Ch 10.82
Answers
Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82
If two coplanar lines are cut by a transversal so that corresponding angles are *blank*
congruent, then the lines are
(parallel/perpendicular/skew).
Answers
Answer:
parallel
Step-by-step explanation:
If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel
========================================================
Explanation:
This is due to the converse of the corresponding angles theorem.
Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.
The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.
Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.
Check out the image below to see an example of what I mean.
It would be nice if somebody could help me! (I'm trying to give out points!)
Answers
Answer:
chupapi muyanyo
Step-by-step explanation:
Answer:
3) A) 8 tomatoes are in Priya's garden
B) 18 since they are missing 2 tomatoes
4) I cant really answer with the information given.
Step-by-step explanation:
I need more information for number 4
ten more than x times 6 is 11 more than y times 4
Answers
Answer:
6x+10 = 4y+11
Step-by-step explanation:
6x+10 = 4y+11
The slope intercept form is:
y = 3/2x-1/4
Write a function rule for the area A(h) of a parallelogram whose base is 3 units more than its height h.
A. A(h) = h2 + 3
B. A(h) = h2 + 3h
C. A(h) = h2 + 3h + 3
D. A(h) = h + 3h
Answers
===================================================
Work Shown:
height = h
base = h+3, since the base is 3 more than the height
area = base*height
area = h*(h+3)
area = h*h + h*3
area = h^2+3h