The correct option is (B).24 miles.
Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.
Otherwise, just use the basic formula:
[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]
Given that,
[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).
Since z-score must be Less than 1.5, So
[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]
[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]
I just used normal cdf and got [tex]23.6<x<34.4[/tex].
Hence the correct option is (B).24 miles.
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Answer:
B
Step-by-step explanation:
Correcct on edge22
We need to use 60 yards of fencing to enclose a rectangular shaped garden the length is 30 yards less than twice the width. Find the dimensions of the garden.
Answer:
W = 16 2/3 yards
L = 3 1/3 yards
Step-by-step explanation:
A rectangle will consist of two sides with length L, and two more sides with length W. Area will be W*L.
We are told that L is 30 yards less than 2W:
L = 2W - 30
We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.
Therefore, we can write: 2W + 2L = 60 yards.
I see the words "need to use," so I must conclude that all of the fencing must be used. This sounds like a domestic issue.
Let's use L=2W-20 in the equation 2W + 2L = 60:
2W + 2L = 60
2W + 2(2W-20) = 60
2W + 4W-40 = 60
6W =100
W = (100/6) = 16 2/3 yards
L = 2W - 30
L = 2(16+(2/3)) - 30
L = 33 1/3 - 30
L = 3 1/3 yards
===============
Is the length 30 yards less than twice the width?
2W = 33.33
33.33 - 3.33 = 30 yards YES
Evaluate the expression 6^3 + 20
The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?
Answer:
17 ft 8 in
Step-by-step explanation:
What is the slope of the line through (2, -1) and (-2, -3)?
[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]
Answer:
Step-by-step explanation:
Using slope formula:
(y2-y1)/(x2-x1)
(-3 + 1) / (-2-2)
-2/-4
slope: 1/2
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.
Answer:
Step-by-step explanation:
68 1/4
The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.
What is a mixed fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
Assume the distance covered before their first stop for gas be 'x'
Total distance travelled is 381 miles
We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is
x + 3x + 58 3/4 = 381
4x + 58 3/4 = 381
x=68 1/4 in mixed fraction
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Solve for m.
m+13<−214
m>−11112
m>−2712
m<−11112
m<−2712
Answer:
You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^
The correct answer is m<- 2 7/12
Step-by-step explanation:
This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities
Good luck everyone of the rest !!!!
The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
What is inequality? What is a mathematical function, equation and expression? inequality : An inequality is used to compare two expressions or numbers.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are the inequalities and it is asked to solve for [m].
The given inequalities are given as follows -
m + 13 < − 214
m > − 11112
m > − 2712
m < − 11112
m < − 2712
Now, we can write -
m + 13 < − 214
m < - 214 - 13
m < - 227
Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)
Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
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it takes 5 days to repair 1250 meters of road.
At this rate, how many days will it take to repair 8 kilometers of road?
Answer:
2000 Meters
Step-by-step explanation:
First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.
Given that(16 watermelons cost $48) which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. (A) 16:48 B) 3:1 C 1:3 D 48:16 E) 3:9 le 5
Answer:
A, C, and E
Step-by-step explanation:
if 16 watermelons cost 48, then 1 watermelon costs 3$ meaning A C and E apply to that.
They are similar or not similar and why?
Answer:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
please consider brainliest <3
Answer:
Step-by-step explanation:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
love ELVIS
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).
The area of a triangle is the amount of space on the triangle
The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
The coordinates of the triangle are given as:
[tex]R = (-5,6)[/tex]
[tex]S = (3,4)[/tex]
[tex]T = (-2,2)[/tex]
The area (A) of a triangle from its coordinates or vertices are:
[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]
Substitute values for x's and y's
[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
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Josue broke a cell sample into 12 batches, each weighing 6.9 x 10 ^-10
grams. How much did the original sample weigh? Use scientific notation to express your answer.
Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.
This question is solved by proportions, using a rule of three.The weight of 1 batch, in grams, is of [tex]6.9 \times 10^{-10}[/tex]. How much do the sample of 12 batches weigh?The rule of three is:
1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.
12 batches - x grams
Applying cross multiplication:
[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]
Applying scientific notation:
[tex]8.28 \times 10^{-9}[/tex]
The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.
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Help me plzzzzz
y=__×+__
During a store's opening month, they sold 925 DVD's and 507 Blu-ray discs. Each month thereafter, the number of DVD's sold per month decreased by 12 while the number of Blu-ray discs sold per month increased by 26. Let d represent the number of discs sold and t represent the time in months.Write a system of equations
The system of equations representing the number of Blue-ray discs and DVD's after t months are:
507 + 26t
925 - 12t
Each month, the number of DVD's sold decreases by 12, this can be modelled as:
number of DVD in opening month - (monthly decrease x number of months)
Number of DVD's in t months = 925 - 12t
Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:
number of blue-ray discs in opening month + (monthly increase x number of months)
Number of Blue-ray discs in t months = 507 + 26t
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23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?
Answer:
230/p = 23/100 You would need 1,000 g of snack mix.
Step-by-step explanation:
There are 1000 snack mix would be needed to get 230g of almonds.
Given that;
23% of a snack mix is almonds.
And, there are 230g of almonds.
Let us assume that;
The number of snacks = x
Hence, it can be written as,
23% of x = 230
23/100 × x = 230
23x = 23000
x = 23000/23
x = 1000
Therefore, The number of snacks = 1000 g
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a locker room contains 21 books. you select 7 books at random. how many different sets of books can you select
Answer:
14
Step-by-step explanation:
3x7=21 you take away 7 books you would have 14 left or 7x2
Why are scarcity and choice basic economic questions faced by every society?
Find 48.9% of 264.Round to the nearest hundredth
Step-by-step explanation:
Simply divide the percent by 100 and multiply by the number. For example, 48.9 /100 x 264 = 129.096 or 0.489 x 264 = 129.096
Rounded to nearest hundredth
= 129.10
Answer:129.10
Step-by-step explanation:
Simply, the equation for the percentage value of a number is:
x*(z%/100%)=y
where x is your initial value, z is your percentage value, and y is the resultant value
for this question, the equations gives us as follows
264*(48.9%/100%)=129.096=129.10
amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?
Answer:
$27,444.80
Step-by-step explanation:
12% of 22,540 is 2,704.8
add the amount she made
add the weekly salary (550 × 4)
I don’t get this at all ♂️
All you need is on the photo
Please don't answer randomly if you answer randomly you are gonna lose points
Answer:
no since the ratios of the corresponding sides are not proportional
Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.
$28.53
$26.60
$27.83
$25.23
The fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.
The given parameters:
Number of passenger = 1Total distance = 9.5 milesCost of first 0.2 mile = $0.75Cost of additional mile = $0.55Cost of a passenger = $1.50The fare without tip for the Metro Taxi is calculated as follows;
for the first 0.2 mile = $0.75the remaining distance = 9.5 - 0.2 = 9.3 miles[tex]cost \ of \ distance = \$ 0.75 \ \ + \ \ \frac{\$ 0.55}{0.2 \ mile} \times 9.3 \ miles\\\\cost \ of \ distance = \$ 26.325[/tex]
Cost of 1 passenger = $1.50
The total cost is calculated as follows;
total cost = $1.50 + $26.325
total cost = $27.83
Thus, the fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.
The complete question is below:
Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.
Metro Taxi: first 1/5 mi= $0.75, each additional 1/5 mi= $0.55, each additional passenger= $1.50.
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PLZZZZZZZZZ HELP 30 POINTS AND BRAINLIEST
Cotton farmers constantly battle with insects that want to eat their crops. Geneticists created transgenic cotton with leaves that repelled insects, such as caterpillars.
Which statement best describes an unintended negative consequence of creating the transgenic cotton?
The cotton plants grew at increased rates but produced fewer flowers.
The cotton produced more and larger flowers.
The cotton began dying very quickly.
The caterpillars instead ate the cotton flowers and damaged cotton production.
hi have a nice day,❤️
Occurrence of diversity in ecosystem sustains particular characteristic of a biological community and also ensures stability of the community. Transgenic crops may affect insect biodiversity by unintended impacts on non-target arthropod population. For example, transgenic GM cotton specific to target lepidopterous pests can change the cotton pest spectrum and may induce the growth of new harmful pest species having no pest status. The change in species composition may influence IPM approach in cotton crop. The results of authors’ research studies as well as global impact indicate that GM cotton is highly specific to target pests and has no unintended impact on non-target insect population. GM cotton provides significant season-long field control of target pests (Helicoverpa armigera, Earias spp. and Pectinophora gossypiella), with no significant control of Spodoptera species. The decreased insecticide use in GM cotton has a positive impact on beneficial insect populations and can increase the stability of rare species.
Answer:
The caterpillars instead ate the cotton flowers and damaged cotton production.
Explanation:
Bt cotton was developed for cold temperate countries like the US where pests are limited - chiefly the bollworm, against which the Bt toxin works and pest load in fields is not high.
But the problem is with the warmer climates like India, where bollworms flourish. Over time, because of the sheer amount of bollworms in warmer climates like India or Southern United States, these bollworms grown an immunity to the Bt toxin and we are back to square one.
~That's All Folks~
-Siascon
A biking track has the lenght of 0.95 mi. How long is this in feet?
Answer:
5016 feet
Step-by-step explanation:
Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.
Is the figure a right triangle?
A yes, the relationship of the sides follows Pythagorean theorem
B no, the relationship of the sides DOSE NOT follow Pythagorean theorem
C no, the relationship of the sides follows Pythagorean theorem
D Yes, the relationship of the sides DOSE NOT follow Pythagorean theorem
Answer:
c will correct..
like
h² = p² + b²
14² = 74 + 122
196 = 196
15.21 x 0.72 can somebody help its an assignment
Answer:
10.9512
Step-by-step explanation:
Answer:
10.9512 (not sure if u have to round it)
Step-by-step explanation:
Calculate the speed of an object from 0-1 sec.
Answer:
. 2 m/s
Step-by-step explanation:
Speed is defined as the rate of change in distance per time.
in this case you can simply observe the graph to get the final and initial distances & time.
The motion starts from 0 and moves to 2 if you look at the y axis of the graph.
Thus, the initial distance is 0m & the final distance is 2m
The time is specified in the question to have an initial of 0 sec and a final of 1 sec.
now let's plot our values out as a given.
S1 = 0m t1 = 0 sec
S2 = 2m t2 = 1 sec
and so you're going to have to find the change in time and displacement individually to later engage both in your formula which is - ∆V = ∆S / ∆t
∆S = S2 - S1 = 2m - 0m = 2m.
∆t = t2 - t1 = 1 sec - 0 sec = 1 sec.
∆V = ∆S / ∆t = 2m / 1 sec = 2m/sec (2m/s)
need helpppppp plz .
Answer:
A) x=10
Step-by-step explanation:
All the angles in a triangle will add to equal 180°.
Knowing this, we can set up an equation.
(8x+5) + (5x-1) + (4x+6)= 180°
In order to solve, we must first combine like terms. (These can be found on the left side of the equation).
8x+5x+4x= 17x
5+ (-1) + 6= 10
We can now rewrite our equation as follows:
17x+10=180°
Subtract 10 from both sides.
17x+10=180°
- 10 -10
17x=170°
Divide by 17 on both sides.
17x=170°
---- -----
17 17
x= 10°
The answer is x=10°.
If you help me you get 100 points please helppppppp
Answer:
25
Step-by-step explanation:
5 squared equals 25. That is all you need to know in this case
Tim is 40 lbs less than his bother. If together they weigh 220, how much does Tim weigh?
Answer: Tim weighs 90 lbs and his brother weighs 130 lbs