Answer:
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Step-by-step explanation:
Step(i):-
Given mean of the Population = 115
Given standard deviation of the Population = 23
Let 'x' be the random variable of normal distribution
Let x = 162
[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]
z = 2.043
Step(ii):-
The probability that a value in the data set is greater than or equal to 162
P(X>x) = P(Z>z) = P(Z> 2.043)
P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)
= 1- ( 0.5 +A(2.043)
= 1-0.5 -A(2.043)
= 0.5 - 0.4793
= 0.0207
Final answer:-
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Stewart purchased 15/20 gallons of juice for his party. Guests drank 9/20 gallons, so how much juice is left?
Answer:
Step-by-step explanation:
6/20 Gallons
Answer:
[tex]\frac{3}{10}[/tex].
Step-by-step explanation:
To do this, we will need to subtract fractions.
[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)
Which expression is equivalent to 10√5
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
what is the center?
the circle passes through the point (-7,-7). what is the radius?
We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.
First of all, we will find the center of the circle.
We can see that center of circle is at point [tex](-2,-1)[/tex].
Now we will use equation of circle to find radius.
[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:
[tex](-7+2)^2+(-7+1)^2=r^2[/tex]
[tex](-5)^2+(-6)^2=r^2[/tex]
[tex]25+36=r^2[/tex]
[tex]61=r^2[/tex]
Switch sides:
[tex]r^2=61[/tex]
Now we will take positive square root on both sides:
[tex]\sqrt{r^2}=\sqrt{61}[/tex]
[tex]r=\sqrt{61}[/tex]
Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].
Whats the distance between the points (-9,2) and (-4,2)?
A. 5
B. 13
C. 7
D. 2
Answer:
Distance between the points (-9,2) and (-4,2):
D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5
=> Option A is correct
Answer:
B.13
Step-by-step explanation:
In order to solve the distance between two points you need the distance formula which is -> Distance = √ (x1 - x2)^2 + (y1 - y2)^2
-9 would be x1 and -4 would be x2(so the first numbers of both sets)
Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)
You plug in the numbers to the formula.
Which would be:
Distance = √ (-9-4)^2 + (2-2 )^2
Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.
Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.
You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.
Kim is packing eggs into boxes. Each box holds 6 eggs. She has 94 eggs. What is the smallest number of boxes she needs to pack all the eggs?
A. 15.65
B. 15.67
C. 15.7
D. 16
Answer:
D
Step-by-step explanation:
For this one (and others that are similar to this one) you can't have a portion of a box, therefore, you can eliminate all the other answers.
The smallest number of boxes she needs to pack all the eggs is 15.67,
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Eggs = 94
Each box Hold= 6 eggs
So, number of boxes required to hold 94 eggs
= 94 / 6
= 15.66
Hence, smallest number of boxes she needs is 15.67
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)
Answer:
124 sq cm
Step-by-step explanation:
Surface Area of the recatangles on both sides is 50 cm each so
50+50=100
and the area of the two triangles is 12 each so
12+12=24
and 100+24=124
Answer:
184cm^2
Step-by-step explanation:
SA=hp+2B
h=10
p=16
hp=160
B= 1/2bh
B=12
12x2=24
hp+2B= 24+160= 184
Wanda did 12 push-ups on Saturday, 24 push-ups on Sunday, 48 push-ups on Monday, and
96 push-ups on Tuesday. What kind of sequence is this?
Answer:
2x
Step-by-step explanation:
Each number is mutiplied by 2
Answer: it doubles
Step-by-step explanation: 12+12= 24, 24+24= 48, 48+48=96
Chad's bedroom floor is 19 feet long and 19 feet wide. He has an area rug on his floor that is 5 feet long and 8 feet wide.
Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.
A Add 19 + 19 + 5 + 8.
B Subtract 40 from 19 × 19.
C Subtract 19 × 8 from 19 × 5.
D Add 19 × 19 and 5 × 8.
E Subtract 5 × 8 from 19 × 19.
F Subtract 19 × 19 from 5 × 8.
Answer:
B and E
Step-by-step explanation:
Subtract the area of the rug from the bedroom floor.
Answer:
E
Step-by-step explanation:
Area of the floor that is not covered = Area of floor - area of rug
= 19 *19 - 5*8
= 361 - 40
= 321 Sq.ft
Evaluate tan²0 for 0 = 60°.
1/3
3/4
1
3
Answer:
3
Step-by-step explanation:
i Substituted the value ofthe variable into the equation and simplified it.
can i get your help please
Which answer choice shows the decimals in order from greatest to least?
A. 1.234, 1.237, 1.2, 1.48, 2.01
B. 1.2, 1.234, 1.237, 1.48, 2.01
C. 2.01, 1.48, 1.237, 1.234, 1.2
D. 1.2, 1.48, 2.01, 1.234, 1.237
Answer:
B. 1.2, 1.234, 1.237, 1.48, 2.01
Step-by-step explanation:
The data below shows the scores of some students on a test: 21, 27, 29, 20, 22, 33, 23 Which box plot represents the data?
Answer:
23
Step-by-step explanation:
you take the greatest and least greatest number until only one is left.
21, 27, 29, 20, 22, 33, 23
21, 27, 29, 20, 22, 23
21, 27, 29, 22, 23
27, 29, 22, 23
27, 23
23
-10-9-8-7-6-5-4-3-2
-1 0
1
2
3
4 5 6 7 8 9 10
Determine the distance between -1 and -7.
-1
A)
-8 units
B)
-6 units
C)
6 units
D)
8 units
Answer:
B)6 units
Step-by-step explanation:
-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10
or
-7-(-1)=-6
Distance can't be a negative so the answer is 6.
You are making pudding. The recipe asks for 3/10 cup of sugar and you want to make 8/2 of the original recipe. How many cups of sugar will you need?
Answer:
6/5
Step-by-step explanation:
orginal recipe=8/2=4
Amt of sugar=3/10*4=12/10=6/5
Hope it helps, Pls mark as Brainliest!!!
Find the volume of the cone whoever answers first gets brainiest!
Answer:
157.08
pi x radius x radius x height/3
Step-by-step explanation:
Answer:
V≈157.08
Step-by-step explanation:
I used the formula for a cone:
V=πr2h/3 (h/3 as in a fraction)
Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain
Answer:
Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.
For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.
And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.
Step-by-step explanation:
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?
We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).
We are asked to find the position of ball after 6 seconds.
We will use horizontal position and vertical position formula to solve our given problem.
Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,
v = Velocity,
t = Time,
[tex]\theta[/tex] = Angle to the starting line.
For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].
[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]
[tex]x=10.8 \cdot 0.087155742748[/tex]
[tex]x=0.9412820216784\approx 0.94[/tex]
[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]
[tex]y=10.8\cdot 0.996194698092[/tex]
[tex]y=10.7589027\approx 10.76[/tex]
Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].
Answer:
(0.8,9.6)
Step-by-step explanation:
x=1.6*cos85* 6=0.8
y=1.6*sin85 *6=9.6
Simplify.
8(12 - p)
20 - (8+p)
96 - 8p
96 - p
96p
So the right answer is of option C
Look at the attached picture
Hope it will help u ..
HELLPPPPPP
S S DS ADS
A
Answer:
90%
Step-by-step explanation:
9/10 = 90/100
the answer to the equation is 90
Evaluate 3a + b to the second power if a=2 and b=3
PS : can you help me with 1, 2 and 3 ?!
Answer:
1. 3
2. 3
3. 15
Step-by-step explanation:
please help, I dont know how to do this
Answer:
[tex]\frac{y-2}{4}[/tex]
Step-by-step explanation:
Let's start by factoring everything:
[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]
[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, you can cancel out some terms:
[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:
[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]
[tex]\frac{y-2}{4}[/tex]
Hope this helps!
Amanda and Mary each have a box of popcorn.
Whose box holds more popcorn?
How much more popcorn does the bigger box hold than the smaller box?
Answer:
Amanda's box volume is 70 cm^3 greater than Mary's
Step-by-step explanation:
Find and then compare the volumes of the two boxes:
Amanda's: 10*10*13.5 cm^3 = 1350 cm^3
Mary's: 8*8*20 = 1280 cm^3
Amanda's box volume is 70 cm^3 greater than Mary's.
Classify the following triangle. Check all that apply.
51
12.1
/59
70"
10
A. Scalene
I B. Equilateral
O C. Right
D. Acute
O E. Obtuse
O F. Isosceles
none of the answers I saw had the same triangle
Answer:
acute
Step-by-step explanation:
the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral
Answer:
it D . acute and A .scalene
Please help ASAP will mark brainliest
Math question down below
Answer:
2 3/8
Step-by-step explanation:
5 1/8 - 2 3/4
= 5 1/8 - 2 6/8
= 4 9/8 - 2 6/8
= 2 3/8
Find the length of DF
Answer:
7x-58
just add all the terms
PLEASE HELP - Which of these graphs represents a nonlinear function ?
Figure 3
Step-by-step explanation:
The volume of the sphere is 904.32 m. To the nearest meter, what is the radius of the sphere????? Use 3.14 for pi.
Answer:
6
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Plugging in the values that you are given, you get:
[tex]904.32=\frac{4}{3}\pi r^3[/tex]
Dividing both sides by pi or 3.14:
[tex]288=\frac{4}{3}r^3[/tex]
Dividing both sides by 4/3:
[tex]216=r^3[/tex]
Taking the cube root of both sides:
[tex]r=6[/tex]
Hope this helps!
Look at the data points on the graph:
Is this relation a function?