Answer:
0.00001 ; 92
Step-by-step explanation:
Given that:
Number of possible answers / options per question = 4 ; correct answers per question = 1
P(choosing the correct answer) ; p = 1/4 = 0.25
Probability of getting atleast 30 questions right :
Mean, m = np = 60 * 0.25 = 15
Standard deviation, s = sqrt(np(1-p)) = sqrt(60 * 0.25 * 0.75) = 3.354
Using binomial approximation :
P(x ≥ 29.5) = (29.5 - 15) / 3.354 = 4.32
P(Z ≥ 4.32) = 0.00001 (Z probability calculator)
To get no more than 35%
P(x ≤ 0.35) ; normal approximation P(x ≤ 0.35n + 0.5)
m= n * 1/4 = n/4
Variance = np(1-p) = n * 1/4 * 3/4 = 3n/16
X ~(n/4, 3n/16)
P(x ≤ 0.35) = [(0.35n + 0.5 - 0.25n) / sqrt(0.1875n)] = Zcritical 99%
Zcritical at 99% = 2.326
0.1n + 0.5 / sqrt(0.1875n) = 2.326
0.1n + 0.5 = 2.326 * sqrt(0.1875n)
Square both sides :
(0.1n + 0.5)² = (2.326*sqrt0.1875n)²
Quadratic relation obtained :
0.01n² - 0.914427 + 0.25n = 0
Solving using the quadratic. Formula :
-b ± [sqrt(b² - 4ac) / 2a]
a = 0.01 ; b = - 0.914427 ; c = 0.25
Output = 91.17 or 0.27
Hence, n = 92
how to multiply square roots in scientific notation and divide them
Help due soon
find the area using 3.14 for π
round to the nearest Hundredth if you have too
Answer:
Circumf = diam * PI = 4 * 3.14159265 = 12.57 m
Area = PI * radius^2 = 3.14159265 * 2^2 = 12.57 square meters
Step-by-step explanation:
What is 734.91 rounded to the nearest ten
Answer:
735
Step-by-step explanation:
What is the measure of the angle that the ladder makes with the wall?
Answer:
30°
Step-by-step explanation:
The measure of angle the ladder makes with the wall = 180 - (the measure of angle the ladder makes with the ground + 90°)
Measure of angle the ladder makes with the ground = 180 - 120 = 60°
Therefore,
The measure of angle the ladder makes with the wall = 180 - (60 + 90°)
= 30°
Olivia wrapped a string around a circle and found it was 30 mm long. Approximately, what is the radius of this circle
A. r= 4.77mm
B. r= 7.5mm
C= r= 9.55
D= r= 15mm
Answer:7.5
Step-by-step explanation: cause I looked it up lol
What’s the area of the shape?
Answer:
96
Step-by-step explanation:
triangle = (12 * 10)/2 = 60
square = 6*6 = 36
triangle + square = 96
PLEASE HEEEEELP,WILL GIVE BRAINLIEST
Also can you explain how you got your answer
Answer:
The answer is c! 7,36,60,30
Step-by-step explanation:
To answer this equation you have to find a number that fits the description of what is required. It may seem difficult but it's not first off it's trial and error you have to find the right equation for every given number. For example, what makes 15 equal 5 true? To make the equation true you have to do 15 divided by 3 equals 5 now we take the / 3 and apply them to all the other numbers so 21 / 3 is 7 , 36 divided by 3 is 12 hi, 60 / 3 is 20 , 90 /3 is 30. If you have any other question like this all you have to do is trial and error with a number to make the equation true hopefully that helps! (B.t.w / symbol means divided by)
What is the sale price of a bag of potato chips priced 4 and the sale 25% off?
A:$1.50 B:$2 C:$3 D:$2.50
Answer:
C: $3
Step-by-step explanation:
I think you're saying that the chips cost $4, so that's what I'm going with.
You can think of 25% as 1/4 of the whole. So if you divide 4 by 4, you get 1, so that means that 1/4 of the price is 1.
Now you can subtract 1 from 4 : 4-1= $3
Hope that helps!
can someone plz help?
solve for x in the triangle below given that AB =4cm ,BC=3cm and AC =x
Answer:
5
Step-by-step explanation:
a²+b²=c²
4²+3²=c²
25=c²
c=√25
c=5
Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake. His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet. What is the vertical distance between Dan and Jeff? Please show work.
Answer:
The vertical distance between Dan and Jeff is of 26 feet.
Step-by-step explanation:
Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake.
His position is -34 feet.
His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet.
Dives to 40 feet, and descends 20 more feet. So
-(40 + 20) = -60
What is the vertical distance between Dan and Jeff?
|-34 - (-60)| = |-34 + 60| = 26
The vertical distance between Dan and Jeff is of 26 feet.
Geometry Question Need Help
Answer:
Step-by-step explanation:
y = x² + 6x + 12
= x² + 6x + 3² - 3² + 12
= (x+3)² + 3
vertex (-3,3)
more help pls! 3 and 4
Answer:
3. One Solution. (0,4). (they have different slopes and y-intercepts)
The solution can be found using elimination method:
Add the equations together
y = -x + 4
y = x - 4
2y = 0
y = 0
Solve for x
0 = x - 4
x = 4
(4, 0)
4. No solution
x + y = -2 and 3 which is not possible
The two lines would be parallel
How many 2/3 cup servings are there in a container that holds 7 cups?
Answer:
7÷12=71×21=14 servings. So the operation you need to do is division. 8÷23. 81÷23 ← change 'divide' to 'multiply by the reciprocal'.
hope this helps
We want to see how many 2/3 cup servings are there in a container that can hold 7 cups, by taking the quotient we will see that there are 10.5 2/3 cup servings.
Taking the quotient:
To see how many times 2/3 cups fit in 7 cups, we just need to take the quotient between these two quantities, it gives:
[tex]N = \frac{7 cups}{(2/3) cups } = \frac{7*3}{2} = \frac{21}{2} = 10.5[/tex]
Where I used the rule:
[tex]\frac{A}{n/m} = \frac{A*m}{n}[/tex]
Then we can conclude that there are 10.5 2/3 cup servings in a container that holds 7 cups.
If you want to learn more about quotients, you can read:
https://brainly.com/question/7068223
Help find anwser please
Answer:
D.92
Step-by-step explanation:
A triangle adds up to 180
1 Step.
180-148 = 32
this is the missing angle
2 Step.
to find h
180-(32+56)= 92
I need help. Because is an important homework.
i write everything in the exploration
Step-by-step explanation:
MN=31
KN=45
K=61°
L=119°
M=61°
CF=10
FE=15
CE=14
GD=11
QR=19
SR=24
PT=21
SQ=20
QRS=70°
PQS=53°
RPS=35°
PSQ=53°
7x-2=12x-22
-2=5x-22
20=5x
x=4
7×4-2=26 (12×4-22=26)
(2x+11)×2=8x-14
4x+22=8x-14
22=4x-14
36=4x
x=9
( (2×9+11)×2=58. 8×9-14=58. so it's correct)
(3x+5)+(9x-17)=180
12x-12=180
12x=192
x=16
( (3×16+5)+(9×16-17)=53+127=180 so it's correct)
10x-27=2x+29
8x-27=29
8x=56
x=7
10×7-27=43 (2×7+29=43)
V=180-43°=137°
someone tell me the slope please
Answer:
[tex]\frac{0}{5}[/tex] or zero.
Step-by-step explanation:
The pair on the left is (-4, -5). The pair on the right is (1, -5).
In order to find the slope, you must first subtract the y in the first pair by the y in the second pair. Then what ever answer you get will be your numerator. Then, subtract the x in the second pair by the x in the first pair and that will be your denominator. So, in this case, it would be [tex]\frac{-5 - -5}{1 - -4}[/tex] which equals [tex]\frac{0}{5}[/tex]. If a zero is the numerator, that means that the fraction is zero. If the zero had been on the bottom, then the answer would have been undefined.
In short the formula to find slope is: [tex]y^{2}[/tex]- [tex]y^{1}[/tex] over [tex]x^{2}[/tex] - [tex]x^{1}[/tex].
Change 60% to fraction in its simplest form
Answer: 3/5
Step-by-step explanation:
60% as a fraction is 60/100.
You can simplify 60/100 to 30/50 then simplify that further to 15/25 then using the 5 times tables you can simplify that to 3/5.
А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С
Answer:
168 meters squared
Step-by-step explanation:
So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.
So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m
38-14=24
so now we know that the side is 24 and we can solve for the area
24*7=168
so the answer is 168 meters squared
The leteras Surface area of a cube is 324cm3
find the value and its total surface area
Step-by-step explanation:
hope it will help yougood luck
What fraction is 8in3 of 2ft3?
Answer: 16/1 8 of 2 is 8 times 2 so you get 16 and as a fraction it’s 16/1
Step-by-step explanation:
put 2 1/4 : 6 3/4 into a unit rate PLEASE NOWWWWWWWWW
Answer:
njlaffbbglakngbaabhhet
Step-by-step explanation:
10
What shape is both a rhombus and a rectangle?
A.triangle
B.trapezoid
C.Square
D.kite
The shape that is both a rhombus and a rectangle is a square (option a).
A square possesses the characteristics of both a rhombus and a rectangle. A rhombus is a quadrilateral with all sides of equal length, while a rectangle is a quadrilateral with four right angles. A square satisfies both conditions, as it has four equal sides and four right angles.
Therefore, a square can be classified as a rhombus because its sides are equal, and it can also be classified as a rectangle because it has right angles. The square is a special case where the properties of both a rhombus and a rectangle are met, making it the correct answer. The correct option is a.
To know more about rectangle:
https://brainly.com/question/15019502
#SPJ6
What characteristic is true for all relations that are functions
Answer:
every y value in the relation has exactly one x value
5. The formula length x width x height is used to calculate the volume of a type of
A. gas.
C. liquid.
B. solid.
D. plasma.
The formula length × width × height is useful to find out the volume of the solid so option (B) will be correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of cuboid = length × height × width.
The volume of the cube = side³.
The volume of a cuboid is given by
⇒ Base area × height
⇒ (length × width) × height
⇒ length × width × height
Since cuboid is a solid because it doesn't change shape and size.
Hence "The formula length × width × height is useful to find out the volume of the solid".
To learn more about volume,
https://brainly.com/question/1578538
#SPJ6
Tyler tried to solve an equation stop by step
3(x + 4) = -18
3x + 12 = -18 Step 1
3x = -30 Step 2
x = -10 Step 3
Find Tyler's mistake.
Choose 1 answer
Step 1
Step 2
Step 3
D
Tyler did not make a mistake
Answer:
Tyler didn't make a mistake
Step-by-step explanation:
3(x+4)=-18
(x+4)=-18/3 (divide by 3 on both the sides)
x+4=-6
x=-6-4 (subtract 4 from both the sides)
x=-10
Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)
Answer:
438 x 934=409092
Step-by-step explanation:
I hope this helps.
Someone please help me answer this!!
Answer:
[tex]y^{6}[/tex]
Step-by-step explanation:
Combine exponents by multiplying (2x3=6)
Answer:
[tex]y^6[/tex]
Step-by-step explanation:
[tex](y^2)^3[/tex]
Use the rules of exponents to simplify the expression.
[tex](y^2)^3[/tex]
To raise a power to another power, multiply the exponents.
y^2x3
Multiply 2 times 3.
y^6
I need help asap !!!!
Juan is participating in a 4 -day cross-country biking challenge. He biked for 61, 70, and 59 miles on the first three days. How many miles does he need to bake on the last day so that his average (mean) is 61 miles per day
Fill in the missing terms of the arithmetic sequence,
-7. 1,5-13
Answer:
-3, 9
Step-by-step explanation:
The constant is 4.