Answer:
0.057168
Step-by-step explanation:
Given :
Mean = 1510
Standard deviation = 57
P(X > 1600)
To obtain the Zscore we use
(x - mean) / σ
P(Z > 1600) = P(Z > (x - mean) / σ)
P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)
P(Z > 1.579) = 0.057168 (Z probability calculator)
at what rate will £420 yield £
£70 in 4 years
Answer:
4.16%/ year
Step-by-step explanation:
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
A survey was done on the number of people in eachcar leaving a Shopping
Centre. The results are summarised in the following table:
Number of People
in Each Car
Frequency
1
45
2
198
3
121
4
76
5
52
6
13
a. What is the Mode number of people in each car?
b. What is the Median number of people in each car?
c. What is the Mean number of people in each car? Give your answer to 1
decimal place.
Answer:
a) Mode number = 2
b) Median = 64.5 = 4 people in car as 0.5 in 64.5 is close to 76
= 4 people
c) Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with = 3 people
Step-by-step explanation:
45 is 1
198 is 2
121 is 3
76 is 4
52 is 5
13 is 6
Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.
Median is shown in the answer as we add up.
Mean we add up all frequency and divide by the amount of subjects = 6.
a) Mode number = 2
b) Median = 13, 45, 52, here 76, 121, 198 mid number between
= (76-52 )/ 2 + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number
median = 64.5 in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.
c. Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with 3 seats
For cumulative frequency we can relist numbers like this
45
45 +198 = 243
243 + 121 = 364
364+76 = 440
440 + 52 = 492
492+13 = 505 to plot graph.
But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
Which answers I should have to answer
Given:
The table of point scored in 5 games.
After game 6, the mean number of points scored per game is 9.
To find:
The points scored by Maya in game 6.
Solution:
Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:
[tex]Sum=8+12+10+6+14+x[/tex]
[tex]Sum=50+x[/tex]
We know that, the formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
So, the mean number of points scored per game is:
[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]
It is given that the mean number of points scored per game is 9.
[tex]\dfrac{50+x}{6}=9[/tex]
[tex]50+x=9\times 6[/tex]
[tex]x=54-50[/tex]
[tex]x=4[/tex]
Therefore, the correct option is A.
What is the equivalent to 2 to the 4th power
Answer:
4 to the 2nd power is the equivalent to 2 to the 4th power
Step-by-step explanation:
2⁴ = 16 = 4²
Answer:
16
Step-by-step explanation:
2*2*2*2= 16
solve everything for brainiest
Answer:
1. [tex]a = 8[/tex]
2. [tex]b = \frac{1}{8}[/tex]
3. [tex]c = 2 \frac{3}{5}[/tex]
4. [tex]d = \frac{13}{50}[/tex]
Step-by-step explanation:
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.
PLS HELP I WILL MARK BRAINLIEST
Answer:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
Step-by-step explanation:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
2e - 3(2e + 3) = 3e + 5
What is e?
[tex]\boxed{e\:=\:-2.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2e - 3(2e + 3) = 3e + 5 \\ ⇢2e - 6e - 9 = 3e + 5 \\ ⇢ - 4e - 3e \: = 5 + 9 \\ ⇢ - 7e = 14 \\ ⇢e = \frac{14}{ - 7} \\ ⇢e = - 2[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex]2e - 6e - 9 = 3e + 5 \\⇢2 \times - 2 - 6 \times - 2 - 9 = 3 \times - 2 + 5 \\ ⇢ - 4 + 12 - 9 = - 6 + 5 \\ ⇢12 - 13 = - 1 \\ ⇢ - 1 = - 1 \\ ⇢L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon
How many quarts are equal to 8 cups?
Answer:
Your answer is 2.
Solve for x. 4x2 = 324
Answer:
=−9
=9
Step-by-step explanation:
4
2
=
3
2
4
4x^{2}=324
4x2=324
4
2
−
3
2
4
=
04
2
−
3
2
4
=
0
4x^{2}-324=0
4x2−324=0
4
(
2
−
8
1
)
=
04
(
2
−
8
1
)
=
0
4(x^{2}{\color{#c92786}{-81}})=0
4(x2−81)=0
4
(
2
+
9
−
9
−
8
1
)
=
0
Happy To Help!What is the angle of elevation to the top of a 45 foot building from 85 feet away?
Round your answer to the nearest tenth.
•31.9°
•58.1°
•27.9°
•62.1°
Answer:
58.1
Step-by-step explanation:
Help ASAP! Picture above easy 6th grade math
Answer:
c and e is your answers
Step-by-step explanation:
Hope it helps :3
Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?
Answer:
8.4%
Step-by-step explanation:
let x = interest rate
55,000(1 + x)^16 = 200,000
divide both sides by 55,000
(1 + x)^16 = 3.636
find the invese of 16
1 + x = 1.084
x = 0.084
x = 8.4
ABCD ~ EFGH
С
B
140°
G
3
50°
4.5
2
110°
DE
х
A
2.4
H н.
x = [?]
Enter your answer in decimal form.
Enter
Answer:
x = 3.6
Step-by-step explanation:
Since ABCD ~ EFGH, therefore:
AB/EF = AD/EH
AB = 3
EF = 2
AD = x
EH = 2.4
Plug in the values into the equation:
3/2 = x/2.4
Cross multiply
3*2.4 = 2x
7.2 = 2x
Divide both sides by 2
7.2/2 = x
3.6 = x
x = 3.6
If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)
Answer:
6
Step-by-step explanation:
PLEASE PLEASE HELP ME Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic equation with its solution set.
Answer:
solution below
Step-by-step explanation:
quadratic formula (note the + before the radical is ±)
[tex]\frac{-b+\sqrt{b^2-4*a*c}}{2a}}[/tex]
Let's plug in the numbers and simply for the first one
[tex]\frac{-(-8)+\sqrt{-8^2-4*2*5}}{2*2}}=\frac{8+\sqrt{24}}{4}}[/tex]
this simplies to
[tex]\frac{8+2\sqrt{6}}{4}=\frac{4+\sqrt{6}}{2}[/tex]
Do this same process with all the other ones
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
C = pi times 2
C = pi times 4
C = StartFraction pi times 4 over 2 EndFraction
C = StartFraction pi times 4 over 4 EndFraction
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
P(C)= 0.02. What is the complement of P(C)?
Answer:
P'(C) = 0.98
Step-by-step explanation:
Given that,
P(C) = 0.02 (The probability of getting C)
We need to find the complement of P(C) i.e. P'(C).
We know that,
P(C)+P'(C)=1
P'(C) = 1-P(C)
= 1-0.02
= 0.98
So, the complement of P(C) is equal to 0.98.
Identify the form of the equation and two characteristics of the function's graph. y = –7x + 2 Group of answer choices Point-Slope Form m = 2 y-intercept = 2 y-intercept = -7 Slope-Intercept Form m = -7 Standard Form
Answer:
Slope intercept form with m= -7
Step-by-step explanation:
Slope intercept form is y=mx+b
where m=slope and b=y-intercept
so
y=-7x+2
Slope (m)= -7
y-intercept = 2
2. Which of the following is true of liquids? * AThey take on the shape of their container. b.Their shape does not change. C.Their particles are widely spread out. D.Their particles move very rapidly.
Answer:
A
Step-by-step explanation:
6x - 4 -2x + 5 = 13 answer this question
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]6x + 1 - 2x = 13[/tex]
[tex]4x+1 = 13[/tex]
[tex]4x+1-1 = 13-1[/tex]
[tex]4x = 12[/tex]
[tex]\frac{4x}{4} = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
6x-4-2x+5=13 (simplify)
4x+1=13 (4x+1 - 1 ; 13-1)
4x=12 (4x/4 ; 12/4)
x=3
21 x 5/7 anybody know please?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
Answer:
8π/5
Step-by-step explanation:
Length of an arc, L
L = θ / 360° * (2πr)
r = Radius = 4 ; θ = 72
Hence,
L = 72/360 * (2π4)
L = 1/5 * 8π
L = 8π/5
Find missing side
help quick pls
Answer:
7m
Step-by-step explanation:
18/6 = 3
24/8 = 3
21/x = 3
21/3 = 7
x = 7
Identify which property is used for: 62 x (-10) = (-10) x 62 *
Answer:
Commutative property of multiplication
Step-by-step explanation:
Properties of Multiplication:
Commutative:
Multiplying two or more factors in a different order.
ex: 2 x 4 x 5 = 2 x 5 x 4
Associative:
Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.
ex: (13 x 4) x 25 = 13 x (4 x 25)
Distributive:
Distributing a multiplicand to factors in parenthesis.
ex: 2(4 - 1) = 2(4) - 2(1)
ex: 2(8+7) = 2(8) + 2(7)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A regression analysis involving one independent variable and one dependent variable is referred to as
Answer: Simple regression
Step-by-step explanation:
A regression analysis that involves one independent variable and one dependent variable is called the simple regression.
The Simple Regression Analysis shows the relationship that exist between the dependent variable which is the value that's to be predicted and the independent variable. The dependent variable depends on the independent variable