Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
Please help me with this question
Answer:
B
Step-by-step explanation:
In a boxplot, when the median is in the middle of the box, or when there are equal proportions around the median, the distribution is symmetric. As is shown here, the median is closer to the left side of the box, making it positively skewed (the mean is greater than the median) and not symmetric.
A number that has both a whole number and a fraction is called a(n)
O A) improper fraction
OB) mixed number
OC) whole fraction
OD) combined number
Answer:
mixed number <3
Step-by-step explanation:
vause it is
According to the Venn diagram below, what is P(A, BAC)?
1/10
Step-by-step explanation:
A∩B∩C means what these 3 numerical sets have in common, and it is the 2 in the center of the circle. The total elements in the pic are 20, and there are 2 elements inside the P, so
2/20 = 1/10
A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.
Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
In ΔIJK, the measure of ∠K=90°, KJ = 65, IK = 72, and JI = 97. What is the value of the cosine of ∠J to the nearest hundredth?
Answer:
[tex]\cos(J) = 0.67[/tex]
Step-by-step explanation:
Given
[tex]\angle K = 90^o[/tex]
[tex]KJ = 65[/tex]
[tex]IK = 72[/tex]
[tex]JI = 97[/tex]
Required
[tex]\cos(J)[/tex]
The question is illustrated with the attached image.
From the image, we have:
[tex]\cos(J) = \frac{KJ}{JI}[/tex]
This gives:
[tex]\cos(J) = \frac{65}{97}[/tex]
[tex]\cos(J) = 0.67010309278[/tex]
[tex]\cos(J) = 0.67[/tex] --- approximated
A marine biologist wanted to construct a t interval to estimate the mean weight of marine otters using 98% confidence. They took a random sample of n = 8 marine otters to measure their weights. These weights were roughly symmetric with a mean of 2 = 4.5 kg and a standard deviation of sx = 1.1 kg.What critical value t* should they use?
Answer:
CI 98 % = ( 3.332 ; 5.668 )
t(c) = 2.9979
Step-by-step explanation:
Confidence Interval CI 98 % then α = 2 % α = 0,02 α/2 = 0.01
Sample information:
Sample size n = 8
sample mean x = 4.5
standard deviation of sample s = 1.1 kg
degree of freedom df = n - 1 df = 8 - 1 df = 7
With α/2 0.01 and df = 7 from t-studente table we find t(c)
t(c) = 2.9979
CI 98 % = ( x ± t(c) * s/√n )
CI 98 % = ( 4.5 ± 2.9979 * 1.1/ √8 )
CI 98 % = ( 4.5 ± 3.2976/2.8228 )
CI 98 % = ( 4.5 ± 1.168 )
CI 98 % = ( 3.332 ; 5.668 )
football team consists of 20 each freshman and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that.
a. All 4 are seniors.
b. There is 1 each: freshman, sophomore, junior, and senior.
c. There are 2 sophomores and 2 freshmen.
d. At least 1 of the students is a senior.
Answer:c
Step-by-step explanation:
c
Substitute the isolated variable into the second equation. I need help with this, i don’t understand.
Answer:
Step-by-step explanation:
Substitute the value for y or x into the equation thats listed with it.
For the first one, substitute 3 in place of y.
3x + 6 y = 60 turns into
3x + 6 * 3 = 60
3x + 18 = 60
3x = 60-18
3x = 42
x = 42/3
x = 14
Apply the same to the other equations
10x + 4y = 70 turns into
10 * 5 + 4y = 70
Then solve for y
Georgia, a florist, charges $7.95 per flower bundle plus a $12 delivery charge per order. If Charlie orders 8 flower bundles and has them delivered, how much does Georgia charge Charlie?
Answer:
75.6
Step-by-step explanation
HOPE I HELPED ;)
Suppose you receive the following ANOVA output in this study. What is the correct conclusion about this data (in correct APA format)?
ANOVA
Time Sum of df Mean Square F Sig. Squares Between Groups 91.467 2 45.733 4.467 021 Within 276.400 27 10.237 Groups Total 367.867 29
a. The effect of training on how long it takes to solve the problem was significant, F(2, 27)- 4.47, p> 05.
b. The effect of training on how long it takes to solve the problem was significant, F(2, 27) -4,47, p .05.
c. The effect of training on how long it takes to solve the problem was not significant, F(27, 2)-4.47, p >.05.
d. The effect of training on how long it takes to solve the problem was significant, F(2, 29) - 4.47. p ,05.
Answer:
The answer is "Option b"
Step-by-step explanation:
Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.
The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
From the table, we have the following values
F = 4.467
df between group = 2
df within group = 27
To reference the result, we make use of:
F(df between group, df within group) = F value
So, we have:
F(2, 27) = 4.47
The above result shows the F value approximated to two decimal points
Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
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The product of 4 and the depth of the pool
Answer:
product means multiplication (×) so what ever is the depth of the pool is multiplied by 4
Step-by-step explanation:
what is the depth of the pool?
I NEEED HELP ASAP PLEASE
Answer:
17.6
Step-by-step explanation:
19sin(68) = 17.6
What’s the range of the function on the graph?
Sami wants to find the measures of the sides and angles of the parallelogram shown.
Which tools can she use to find these measures?
Protractor,Scale,compass .ruler select all that apply
Answer:
Step-by-step explanation:
for sides you can use ruler but for angles you should use protractor
The tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.
What is a Parallelogram?
A parallelogram is a type of quadrilateral that has two pairs of opposite sides that are parallel and congruent, and has opposite angles that are also congruent.
A compass ca be used to measure the interior angles while a ruler can be used to measure the side lengths of the parallelogram.
Therefore, the tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.
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Shannon was born on 12/21/1982. How many eight digit codes could she make using the digits in her birthday?
============================================================
Explanation:
Ignoring the slashes, there are 8 digits here. If we could tell those '1's and '2's apart, then we'd have 8! = 40,320 different codes. The exclamation mark indicates a factorial.
However, the '1's and '2's are indistinguishable. We have to divide by a!*b! = 3!*3! = 6*6 = 36 to account for this.
The a! = 3! = 6 is from the fact we have 3 copies of '1'.
The b! = 3! = 6 is from the fact we have 3 copies of '2'
Dividing by 36 gets us (40,320)/36 = 1120
If you borrow $200 for 12 years at
an annual interest rate of 2%, how
much will you pay altogether?
Answer:
$48
Step-by-step explanation:
200 x .02 = 4 (This finds how much interest you pay per year.)
4 x 12 = 48 (This finds how much interest you pay altogether.)
If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
If you borrow $200 for 12 years at an annual interest rate of 2%
We need to find 2% of 200.
Firstly we have to convert 2% to decimal number by dividing with 100.
2/100=0.02
Now we have to multiply 0.02 with 200
0.02×200=4
For a month it is four.
Now we are calculating for year
4×12=48
So now the interest amount is 48.
Now add 48 and 200
48+200
248
Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.
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What is 5x + 7 > 37 I am really stuck
Answer:
x > 6
Step-by-step explanation:
Problem: 5x + 7 > 37
Subtract 7 from both sides: 5x > 30
Divide both sides by 5: x > 6
Answer: x > 6
help me :) which this question plzzzz !!
I believe its <ABF =<EDJ
Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points
Answer:
the answer to this would be 114 i think sorry is im wrong
Step-by-step explanation:
Select the points that are solutions to the system of inequalities. Select all that apply A. (-12, 0) B. (1, 2) C. (0, 0) D. (-10, 1)
Answer:
B. (1, 2)
D. (-10, 1)
Step-by-step explanation:
Both points land in the highlighted area.
Hope this helps! :)
Answer:
The correct answer would be
A. (–12, 0) & D. (–10, 1)
singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four hours overtime and his gross pay was $391.00. What is his hourly wage
Answer:
$8.5 per hour
Step-by-step explanation:
Number of overtime hours = 4 hours
Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours
Total amount earned = $391
Let Hourly pay = x
Overtime pay = 1 1/2x = 3/2x
Therefore ;
40x + (4*3/2x) = 391
40x + 6x = 391
46x = 391
x = 391 / 46
x = 8.5
Hourly pay = $8.5 per hour
someone please help! (listing BRAINLIST and giving points) :D
Answer:
opp/adj
havent u pay attention in ur math class?
you will have to find the opp using a^2+b^2+c^2
Step-by-step explanation:
I hope this is help full to you
Soda is often sold in 20 ounce bottles. A pack of sugar (the kind they have at restaurants for your coffee or tea) typically contains 4 grams of sugar. If an 8 ounce bottle of cream soda has 30 grams of sugar, then drinking a 20 ounce bottle of cream soda would be equivalent to eating how many packets of sugar?
Answer:
18.75 packs of sugar
Step-by-step explanation:
20/8 = 2.5 (how many 8 ounce bottles in 20 oz)
2.5 * 30 = 75 (to find how many grams of sugar in the 20 oz bottle)
75/4 = 18.75 (how many packs of sugar it's equal to)
you can also use a ratio to solve:
8/30 = 20/x; cross multiply
600 = 8x; divide 8 on both sides
x = 75
75/4 = 18.74 (how many packs of sugar it's equal to)
In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3
Please write an answer with NO FILES, NO LINKS, AND NO WRONG OR TRICK ANSWER!
Answer:
18 inches
Step-by-step explanation:
A=L·H
108 in²=L·6 in
L=[tex]\frac{108}{6}[/tex]
L=18 inches
In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
Select the true statement about participants in the quiz competition from 2011 to 2012. Percentages are rounded to the nearest tenths place.
a.) The absolute change is 35 students and the relative change indicates an increase of 18.92%.
b.) The absolute change is -35 students and the relative change indicates a decrease of 23.3%.
c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%.
d.) The absolute change is -35 students and the relative change indicates a decrease of 35%.
Answer:
c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%
Step-by-step explanation:
the participants increasing = 185-150=35
the percentage = 35/150 × 100% = 23.3%
Option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
c) The absolute change is 35 students and the relative change indicates an increase of 23.3%
The change in participent = 185 - 150 = 35
Percentage change = (35/150)×100 = 23.3%
Thus, option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.
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A rancher has 600600 feet of fencing to put around a rectangular field and then subdivide the field into 33 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.
Answer:
x = 150 ft
y = y = 150 / 17 ft
Step-by-step explanation:
Area of the field is A = x*y
Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing x into 33 rectangles ( using 34 sides of length y ) then the quantity of fence is:
p = 2*x + 34*y ⇒ 600 = 2*x + 34*y y = ( 600 - 2*x)/34
A = x*y
A (x) = x* ( 600 - 2*x)/34
A (x) = ( 600*x - 2*x²)/34
Taking derivatives on both sides of the equation:
A´(x) = (1/34)* ( 600 - 4*x )
A´(x) = 0 (1/34)* ( 600 - 4*x ) = 0 600 - 4*x = 0
x = 600/4
x = 150 feet
And y = (1/34)( 600 - 2*150)
y = 300/34 y = 150 / 17 ft
y = 8.82 ft
How do we know that is a maximum area, we find the second derivative of A
A´´(x) = - 4/34 then A´´(x) < 0
We get a maximum of function A for the value x = 150
Please answer this: There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 158 inches?
Answer:
40 m
Step-by-step explanation:
158 · 2.54 = 401.32
401.32/100 = 40.132
40.132 ≈ 40
Under the translation (X +3, y - 1) the point (3,4) will become (0.5)
True or False
9514 1404 393
Answer:
False
Step-by-step explanation:
Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.
_____
Additional comment
The point (0, 5) would be translated to (3, 4). That is not what the question is asking.
salma is 1.45 meters tall. at 3p.m she measures the length of a tree's shadow to 29.35 meters. she stands 24.3 meters away from the tree, so that the tip of her shadow meets the tip of the treels shadow. find the height of the tree to the nearest hundreth of a meter.
Answer:
23.67
Step-by-step explanation:
Answer:
kimjnuhbygvtcfrdxe
Step-by-step explanation:
