Answer:
a = 8.5
Step-by-step explanation:
The graph shows a nonstandard normal distribution curve with
a mean of 59.0 and a standard deviation of 6.7.
Find the area of the shaded region.
.7761
.2177
.3650
.7823
Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.2 - 59}{6.7}[/tex]
[tex]Z = 0.7761[/tex]
[tex]Z = 0.7761[/tex] has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213
How many solutions do 5-2x=2x-5
Answer:
1 solution is the answer
what is the factor of this 3x - 12
Answer:
3 (x - 4)
Step-by-step explanation:
hellllllllllllllllllllppppppppppppppppppppp
Answer:
Y-intercept: (0, -10)
X-intercepts: (5,0), (1,0)
Axis of symmetry: (3,0)
Step-by-step explanation:
You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.
There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.
By factoring it, you get
-2(x-5)(x-1)=0
If one part of it equals zero, than the whole function equals zero.
So it can be split up like this
(x-5)=0
(x-1)=0
So...
x=5 and x=1 are the the zeros or (5,0) and (1,0)
Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.
ASAP HELP PLEASE SHOW ALL WORK
*Find the value of x. Show all the work
The line of length 48 is passing through the midpoint of traingle so it's half of base
[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]
[tex]\\ \sf\longmapsto 3x=96[/tex]
[tex]\\ \sf\longmapsto x=32[/tex]
-88-3x=-35x-29(x-18)
Answer:
-88-3x=-35x-29(x-18)
-88-3x=-35x-29x-522
-88-3x=-6x-522
-88=-3x-522
424=-3x
x=10
Hope This Helps!!!
Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15
Answer:
c
Step-by-step explanation:
_6x -9y =15
_6x÷3=-2x
9y÷3=3y
15÷3=5
so,_2x -3y =5
Write the equation of the line that passes through the given points.
(0,−5) and (9,−1)
Answer:
y=4/9x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-5))/(9-0)
m=(-1+5)/9
m=4/9
y-y1=m(x-x1)
y-(-5)=4/9(x-0)
y+5=4/9(x)
y+5=4/9x
y=4/9x-5
A scale drawing for a rectangular parking lot measures 5.3 cm by 7.5 cm.
The scale is 2 cm:7 m. What are the width of the actual parking lot, if the
drawing width is 7.5 cm?
=====================================================
Work Shown:
(2 cm)/(7 m) = (7.5 cm)/(x meters)
2/7 = 7.5/x
2x = 7*7.5
2x = 52.5
x = 52.5/2
x = 26.25
7.5 cm on paper corresponds to 26.25 meters in real life.
side note: 26.25 meters = 86.122 feet approximately
A rectangular garden has a walkway around it. The area of the garden is 4(2.5x + 1.5). The combined
area of the garden and the walkway is 5.5(4x + 4). Find the area of the walkway around the garden as
the sum of two terms.
Answer:
Area of Walkway = 12x+16
Step-by-step explanation:
Area of Garden = 4(2.5x + 1.5) [Garden Area]: (10x + 6)
Area of Garden and Walkway = 5.5(4x+4) [Total Area]: (22x + 22)
Area of Walkway = [Total Area] - [Garden Area]
Area of Walkway = [5.5(4x+4)] - [4(2.5x + 1.5)]
Area of Walkway = [22x+22)] - [10x + 6)]
Area of Walkway = 12x+16
Answer:
9x+11 Its hard to explain but if you need a explanation khan academy really helps.
The following shapes are congruent. Write the correct congruence statement for shape MJZP.
A. BLXY
B. LXYB
C. XYBL
D. YBLX
Answer:
B. LXYB.
Step-by-step explanation:
solve similar triangles (advanced)
Answer:
x = 1.125 AKA x = 1 1/8 AKA x = 9/8
Step-by-step explanation:
CB to ED = 1 : 9
Scale Factor = 1/9
[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply
9x = x + 9
-x -x
8x = 9
[tex]\frac{8x}{8} =\frac{9}{8}[/tex]
x = 9/8
Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 10% sales? Please explain your answer.........
Answer:
1500 + x(0.1)=salary
Step-by-step explanation:
Without a sales value, what I'm assuming you want is the equation to find his salary
Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck
so we end up with an equation of 1500 +0.1x=y
Leave a thanks please!
Area of square whose side is 11 cm ________
Answer:
121 cm²
Step-by-step explanation:
Square's area formula is
A=a²
where a stands for a side of the square
A=(11 cm)²
A=121 cm²
whenever you're talking of area you put cm²
Answer:
Given :
✧ Side of square = 11 cmTo Find :
✧ Area of squareUsing Formula :
[tex]\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
Solution :
Substituting the given value in the required formula to find area of square :
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}[/tex]
Hence, the area of square is 121 cm².
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
what is the answer?
Answer:
1x+-8(-4)=b
Step-by-step explanation:
what is the difference in length between a 1 1/4 and 3/8
Answer:
7/8
Step-by-step explanation:
1 1/4 is the same as 5/4.
5/4 is also the same as 10/8.
The distance from 3/8 to 10/8 is 7/8.
Hope that helps
Answer:
1 1/4 - 3/8
5/4 - 38
10/8 - 3/8
7/8
help pleasee
on the image
with the steps.
Answer:
an = 22 -6(n -1)
Step-by-step explanation:
The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d
The third term will be ...
a3 = 10 = 22 +d(3 -1)
Then the common difference is ...
10 -22 = 2d
-12/2 = d = -6
__
Putting the known values into the formula for the general term, it becomes ...
an = 22 -6(n -1)
__
This can be simplified to ...
an = 28 -6n
Use the linear combination method to solve the system of equations PLZ HELP I WILL GIVE BRAINLIEST AND ITS WORTH A LOT OF POINTS, PLZZZZZZZZZZZZZZZZ
2x-3y=13
2x+4y=-8
send help pleaseeeeeeeeeeeeee
MY ANSWER WITH SOLVING STEPS
#CARRYONLEARNING
DON'T FORGET HIT THE THANK YOU BUTTON
A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?
Answer:
1050miles.
Step-by-step explanation:
since every 2 inches=350 miles, then 6 inches= 3(350miles)
since 6/2=3.
or you can think of it this way:
there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.
350+350+350=1050miles.
why didnt lawrenece fishburn play morpheus in matrix 4 reddit
Answer:
I'm confused about your question can you explain?
if x is the midpoint of AB, then AX=XB?
Answer:
Yes
Step-by-step explanation:
AX is equal to XB
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
I would expect 1 person to want mustard.
Explanation:
6 is half of 12, and 1 is half of 2 :)
Hope this helped
I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six
Linda took her son to the batting cages. For the first 5 minutes she paid $10 and for
each additional minute she paid $.50. If Linda, paid $22 for her son to go to the batting
cages, how much time were they there for?
Answer:
29 minutes
Step-by-step explanation:
Brainliest if correct! Please explain how this is done!
In ΔABC, ∠B is a right angle, AB = 30, and sec A = 5/3. Find the value of csc C in fraction and in decimal form.
I will mark brainliest if you are correct!
The value of csc C in fraction and in decimal form is as follows:
csc C = 5 / 3
csc C = 1.66666666667
Using trigonometric ratio,
secant A = 1 / cos A = hypotenuse / adjacent
Therefore,
sec A = 5/3
sec A = 1 / cos A
cos A = adjacent / hypotenuse
cos A = 3 / 5
A = cos⁻¹ 0.6
A = 53.1301023542
Therefore,
∠A = 53°
∠B = 90°
∠C = 180 - 143 = 37°
cosec C = 1 / sin C = hypotenuse / opposite
cosec C = 5 / 3
learn more about trigonometry here: https://brainly.com/question/25942962?referrer=searchResults
A store sells tents,sleeping bags,and campstools.A customer buys a tent, 2 sleeping bags, and 3 campstools for 212$.the price of the tent is 5 times the cost of a campstool.the cost of a sleeping bag is 6$more than the cost of a campstool.find the cost of was just item
The cost of each campstools, tent and sleeping bag is $20, $100 and $26
let
tent = 1
sleeping bags = 2
campstools = 3
Total cost = $212
tent = t
sleeping bags = s
campstools = c
If
t = 5c
s = c + 6
Total = t + 2s + 3c
212 = 5c + 2(c + 6) + 3c
212 = 5c + 2c + 12 + 3c
212 = 10c + 12
212 - 12 = 10c
200 = 10c
c = 200/10
c = 20
t = 5c
= 5 × 20
= 100
s = c + 6
= 20 + 6
= 26
Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26
Learn more about equation:
https://brainly.com/question/4916384
Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no
Sound will travel fastest in air at _____.
Answer: 15 degrees Celsius
Step-by-step explanation:
Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated
• correct me if I'm wrong
8:07, 8:58, ?, 10:43, 11:37
61
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
It appears the sequence has 0:51 as the first difference, and those differences increase by 0:01 in each interval. That means ? must be chosen so that ...
? - 8:58 = 0:52 ⇒ ? = 8:58 +0:52 = 9:50
10:43 -? = 0:53 ⇒ ? = 10:43 -0:53 = 9:50
The missing time is 9:50.
What is the volume of a cube with sides of length 15 mm?