Answer:
A) 0.889
B) 0.895
Step-by-step explanation:
Mean of 53.8 inches, and Standard deviation of 7.5 inches.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
A) What is the probability that a randomly chosen child has a height of less than 62.95 inches?
For x < 62.95
z = 62.95 - 53.8/7.5
z = 1.22
Probabilityvalue from Z-Table:
P(x<62.95) = 0.88877
Approximately = 0.889
B) What is the probability that a randomly chosen child has a height of more than 44.4 inches?
For x > 44.4 inches
z = 44.4 - 53.8/7.5
z = -1.25333
Probability value from Z-Table:
P(x<44.4) = 0.10504
P(x>44.4) = 1 - P(x<44.4) = 0.89496
Approximately = 0.895
Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a
Answer:
[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]
[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]
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☄ Question : Subtract the following using horizontal method :
i. 2x from -5x-5a from -18a✎ Step - by - step Explanation :
2x from -5xIn horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.
[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]
[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]
Likewise , Let's do next too:
-5a from 18 a[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]
Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]
And we're done!
Hope I helped!
Have a wonderful time ツ
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Answer:
i)-7x ii)23a
Step-by-step explanation:
i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a
if a cylinder has a volume of 99 cubic centimeters , what is the volume of a cone with the same dimensions
Answer:
900
Step-by-step explanation:
a university department administers a survey regardring student satisfaction based on the survey results the department provides a confidence interval estimate of 60% to 80% for student satisfaction if the department wishes to construct a confidence interval the more accurate represents the proportion of a student satisfaction how should the design be altered
Answer:
Change the confidence interval.
Step-by-step explanation:
The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.
A 90 or 95 or 99 percent confidence interval will show a greater range of the data that lies within or without the given criteria.
95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies or does not lie within the specific range.
This gives better results as compared to 60- 80 % confidence intervals.
If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.
There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer
Answer: 50
Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.
Answer:
Total Mangoes = 50
Rotten = 46
Step-by-step explanation:
50 divided by 10 = 5.
50 minus 4 is 46.
Please help me
Excellent help needed
Answer:
All of the following have the same solution except b + 2 = 8
Answer:
the answer is D.
Step-by-step explanation:
A. [tex]50 = 5 m = 10=m[/tex]
B. [tex]x-6=4 = x=10[/tex]
C. [tex]w/5=2 = w=15[/tex]
D. [tex]b+2=8 = b=6[/tex]
hope this helps and feel free to give brainiest
Multiplying a measure
by a scale to produce a
reduced or enlarged
measure
Answer:
we conclude that:
If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruentStep-by-step explanation:
A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.
The image can be obtained by multiplying the measure of the original object by a scale factor.
If the scale factor > 1, the image is stretched
If the scale factor < 1, the image is reduced
If the scale factor = 1, the image and object will be congruent
For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.
Dilation with scale factor 2, multiply by 2.
(x, y) → (2x, 2y)A(2, 2) → (2(2), 2(2)) = A'(4, 4)
So, the image point A'(4, 4) is enlarged.
Dilation with scale factor ½, multiply by ½.
(x, y) → (½x, ½y )A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)
So, the image point A'(1, 1) is reduced.
Therefore, we conclude that:
If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruentF(x) = x^3 + x^2-5x-6 at x=2
Answer:
3^2+2^2-5×2-6
9+4-10-6
-3
Step-by-step explanation:
-3 is the answer
Answer:
It could be solved by filling in "x" as 2.
Step-by-step explanation:
F(x) = 2^3 + x^2 - 5(2) - 6
f(x) = 8 + 4 -10 - 6
f(x) = 12 -16
= -4
Hope this is easy enough to understand.
Write the numbers from least to greatest
8.062, 8.26, 8.026, 8.6
Answer:
8.026, 8.062, 8.26, 8.6
Step-by-step explanation:
Answer:
Hi! I'm happy to help!
Step-by-step explanation:
8.026, 8.062, 8.26, 8.6
From Mickey Grace to Everyone:
Grace is 4 years older than Elena. If Grace is 9
years old, how old is Elena? Grace is
Answer:5
Step-by-step explanation:
NO ONE WILL HELP ME :(((((((
Answer:
-1 to -3 = -3
Step-by-step explanation:
best of luck
can people answer this pls
Answer:
A
Step-by-step explanation:
my
Answer:
A
Step-by-step explanation:
dhhdhdhdjejdjdjdjdjjd
What is the unit rate? 400 m travelled in 50 seconds
Answer:
8 meters per second or 8/1
Step-by-step explanation:
Divide 400 meters by 50
8
So it is 8 meters per second
Hope this helps :)
Please consider Brainliest :)
Answer:
8 meters per 1 second
Step-by-step explanation:
first, do 400m/50sec
then, do 400m/1 divided by 50sec/1
next, do keep change flip so, 400/1 * 1/50=400/50
last simplify so, 400 divided by 50 and 50 divided by 50 equals 8/1
hope this helps
Michael exchange US $1000 for the CROATIAN currency which is called the KUNA the exchange rate was 5.81 Kuna to $1 how many CROATIAN KUNA did Michael get
If pqrs is a parallelogram, find the measure of
113
5.67
18
67
Answer:
∠PSR = 113°
Step-by-step explanation:
Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.
7x-13+4x-5=180
11x-18=180
11x=198
x=18
Now plug x back into the angle that opposite from the one you are looking for (they are equal)
7(18)-13 = ∠PSR
126-13 = ∠PSR
113 = ∠PSR
2. Convert 25.2625° from decimal degrees to degrees-minutes-seconds.
Answer:15
Step-by-step explanation:
At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]
Number of hrs/dollar = [tex]\frac{6hrs}{31}[/tex]
Number of hrs/dollar = 0.2hrs/dollars
Write an equation for the line parallel to the given line that contains C.
y =
Answer:
y=3/7x+46/7
Step-by-step explanation:
Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.
7-3/7=C
C=46/7
someone help me plz i need help
Answer:
3.5x-0.2n
Step-by-step explanation:
just simplify like terms
a brainliest would be greatly appreciated : ) : )
Please help ASAP I WILL MARK AS BRAIN-LIST IF RIGHT
Answer:
x=29
Step-by-step explanation:
i know this is answer please try and make me brainlist pls.
5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??
Answer: 12.5
Step-by-step explanation:
25th Percentile: 5.5
50th Percentile: 13
75th Percentile: 18
Interquartile Range: 12.5
What is the domain and range please?
Answer:
Both infinate.
Step-by-step explanation:
The temperature increases from 18° F to 27° F.
What is the percent increase of the temperature?
A
3%
B
9%
С
33%
D
50%
The percent increase in the temperature is 50%.
To understand more, check below explanation.
Percentage increase:The temperature increases from 18° F to 27° F.
Increase in temperature = 27 - 18 = 9
The percent increase in the temperature is computed as,
[tex]=\frac{27-18}{18}*100\\ \\=\frac{9}{18}*100\\ \\=\frac{1}{2}*100=50\%[/tex]
Learn more about the percentage here:
https://brainly.com/question/24304697
solve for x plsssss help me out
Answer:
-11
Step-by-step explanation:
Triangles have 180 degrees
using the vertical angle theory we know that 80 and 60 are angles
We can subtract them from 180 to get 40 left
this minus 51 is -11
x is -11
A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?
Answer:
d
Step-by-step explanation:
Anna makes unique jewelry. The owner of the "Unique" store agreed with Anna to deliver 20 bracelets a week. At the moment, Anna has 80 bracelets made, and can make 17 bracelets a week. For how many consecutive weeks will Anna be able to supply her bracelets to the "Unique" store?
Answer:
7 weeks
Step-by-step explanation:
80 ÷ 20 = 4
She over those four week she makes 17 per week. So,
17 × 4 = 68
Next, divide the product by 20:
68 ÷ 20 = 3.4
But 3.4 is only 3 full weeks so then its 3.
Lastly, add the 3 weeks we just solved for the the 4 weeks from before and you get 7 weeks.
So, Anna will be able to supply the "Unique" store for 7 weeks.
I HOPE I HELPED!!!!!!!!!! :))))))
What is the length of MN?
Answer:
MN = 6
This is because the shapes are dialations of each other
So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:
Step-by-step explanation: Domain is the x coordinates and range is the y coordinates
How can you write the expression 7(b-2) in words?
OA
two subtracted from the quotient of seven divided by b
ОВ,
seven added to difference of b minus two
OC. the quotient of seven divided by b minus two
OD
two subtracted from seven times b
O E, the product of seven and the difference of b minus two
Answer:
E (The product of seven and the difference of b minus two)
Step-by-step explanation:
whats 11/12+ 3 1/2 ASAP PLEASE
Answer:
4 5/12 or 4.4
Step-by-step explanation:
Answer:
4 5/12 or 53/12 or 4.4
Step-by-step explanation:
hope this helps : )
The shadow of a tower is equal to its height at 10.45 a.m. The sun’s altitude is
Incomplete question.