Step-by-step explanation:
96/120=8/12
=2/3
ratio of boys to girls in the class
=2:3
Solve the quadratic by taking square roots. Write your answer with no spaces as x=a,-a where a and -a are the values you found when solving.
3x² - 7 = 140
Answer:
x=7,−7
Step-by-step explanation:
In order to find the value of x in this quadratic equation we first need to make the equation equal 0 by getting rid of the 140. We do this by subtracting 140 on each side.
3x² - 7 = 140
3x² - 147 = 0
Now we solve as a regular quadratic formula
x= [tex]x = \frac{-(0) +- \sqrt{0^{2} - 4(3)(-147) } }{2(3)}[/tex]
[tex]x = \frac{0 +- \sqrt{1764} }{6}[/tex]
x=7,−7
twice the difference of a number and 7 is at least -21
Use the variable c for the unknown number.
Translate the sentence into an inequality
Answer:
Step-by-step explanation:
Difference of a number and 7 = c - 7
Twice the difference = 2*(c - 7) = 2*c - 7*2 = 2c - 14
2c - 14 ≥ -21
Name all pairs
complementary angles
Answer:
See Explanation
Step-by-step explanation:
Require
All complementary angles
The image is blur and the texts are unreadable. However, the following explanation will assist you
To determine a pair of complementary angles, then both angles must add up to 90.
For instance: 50 and 40; 72 and 18, 10 and 80 etc.
So, all you need to do is select all pairs of angles that add up to 90 in the given image.
Take for instance:
[tex]\angle ABC = 50[/tex] and [tex]\angle BDE = 40[/tex] -- assumed values
This means that, you will select [tex]\angle ABC\ \&\ \angle BDE[/tex] as a pair
The bank has 5 Vaults.Each vault contains 5 drawers 5 stacks and $25 what’s in the bank?
find the missing length
Answer:
36
Step-by-step explanation:
since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.
C correlates to R.
B to Q.
A to P.
therefore,
CB correlates to RQ.
84 / 18 = 14 / 3
so, the scaling factor from ABC to PQR is
3/14
AB to PQ must have the same scaling factor :
168 × 3/14 = 12 × 3 = 36
which is also (of course) confirming the ratio of leg to baseline of the original triangle :
AB : CB = 168 : 84 = 2 : 1
and now
PQ : RQ = 36 : 18 = 2 : 1
Are the fractions 9/6 and 6/4 equivalent?
SOLUTION:
IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, ;)
Answer: 9/6 and 6/4 are equivalent
Step-by-step explanation:
If you simply 9/6, you get 1 3/6
Simplify 6/4, you get 1 2/4
3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.
Hope this helped ;D
Given a polynomial that has zeros of −5, 4i, and −4i and has a value of 40 when x=3 write the polynomial equation
Answer:
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zeros of −5, 4i, and −4i
This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So
[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]
[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]
[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]
[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]
Since [tex]i^2 = -1[/tex]
[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]
[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]
Has a value of 40 when x=3
We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So
[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]
[tex]200a = 40[/tex]
[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]
So
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
PLEASE HELP ASAP!!
Find the area of the rectangle below in terms of y. Make sure your expression is fully
simplified.
Recall, the formula for area of a rectangle is A= lw
YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT.
Step-by-step explanation:
Area of rectangle is Length × Breadth
Where Length is 6y⁴+3y³-y²-8Width is 2y²We need to multiply these 3 terms.
[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]
Use distributive property
= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²
Hope it helps :)
The Miller family likes to petal along the north River. 1. They paddled the same distance each day throughout the course of three days, traveling a total of 14 miles. How many miles do they travel each day?
Two. If the millers went half their daily distance each day, but extend their trip to twice as many days, how far would they travel?
Answer:
The Millers paddled 4,666 miles each day. If they reduced their daily distance by half, extending their trip to twice as many days, the distance traveled by the Millers would have been the same.
Step-by-step explanation:
Given that the Miller family likes to paddle along the river, and they paddled the same distance each day throughout the course of three days, traveling a total of 14 miles, to determine how many miles did they travel each day the following calculation must be performed :
14/3 = X
4.666 = X
Thus, the Millers paddled 4,666 miles each day.
In turn, if the Millers went half their daily distance each day, but extend their trip to twice as many days, to determine how far would they travel, the following calculation must be performed:
4.666 / 2 x 6 = X
2.333 x 6 = 13.9999
Thus, the distance traveled by the Millers would have been the same.
find three rational numbees between -2/5 and -1/5
Answer:
-3/10, -25/100, -3/8
Write an expression using an exponent to represent the following: Adnan Start with one coin. the number of coins doubles every day. How many coins will he have on day 8?
Answer: 128
Step-by-step explanation:
day 1: 1
day 2: 2
day 3: 4
day 4: 8
day 5: 16
day 6: 32
day 7: 64
day 8: 128
ALSO.
you can solve it by doing 2 to the power of 8
2^8 is the expression
Rewrite each fraction with a denominator of 24.
3/8 and 7/6
Answer:
3/8=9/24
7/6=28/24
Step-by-step explanation:
[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]
[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]
convert 30 minutes into seconds
Answer:
1800 seconds.
Step-by-step explanation:
30 × 60 = 1800
pls help i dont know the answer to this
Answer:
4 1/12
Step-by-step explanation:
make all the denominators 12 so u can add them easier
2 1/12 + 2 4/12 + 3 2/12 = 7 7/12
nn subtract from the 11 2/3
11 8/12 - 7 7/12 = 4 1/12
Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525
Answer:
0.0475
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In a large company, the proportion of employees who were promoted during the last year was 0.10.
This means that [tex]p = 0.1[/tex]
100 employees
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]
What is the probability that at least 15 of them were promoted during the last year?
This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475.
0.0475 is the answer.
1 point
8. The dot plot below represents the number of dollars in allowance that
students receive each week in Mrs. Jimenez's class. What is the median
amount of allowance?
1...
+
2
+
4
+
12
+
14.
O
6
8
10
16
DOLLARS OF ALLOWANCE EACH WEEK
Answer:
6
Step-by-step explanation:
i am not sure but i think its right sorry if you get it wrong
Mr. Womer borrowed $1,100 to start his own business. National
Bank charged him 15% interest per year. Mr. Womer paid $330 in
interest. For what period of time did he borrow the money?
what is the total area of the shape below
Answer:
480 ft
Step-by-step explanation:
pls helppppp it's hard :(
Answer:
The answer is A .
Step-by-step explanation:
Good luck ;)
1. Give three examples of real-world situations where a simulation could prove useful. Describe each situation, as well as the type of information you'd expect the simulation to yield.
2. Approximately 52% of Uls, households own at least one dog. Using the random number table provided below, explain how you would conduct a simulation to estimate the percentage of dog owners among U.S. households. Assume that you will look at 10 households at a time.
95911 55241 74053 41002 18096 23370 19411 15586 98282 81806 73024 33198 03846 22199 73812 59593 05126 99863
3. Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25. explain how you would use a random number table to do it.
Answer:
1. the growth of a plant given by the amount of food
Step-by-step explanation:
A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation. How far is the ship from the base of the cliff? Round to the nearest foot.
Answer:
654 ft
Step-by-step explanation:
in this case you have a SOH-CAH-TOA problem.
we need Adjacent and opposite so we use tan
tan (17) = O/A
tan (17) = 200ft / x
x = 654.17 ft
to the nearest foot = 654 ft
Leave a like and mark brainliest if this helped
Leave a like and mark brainliest if this helped
The distance that represent the ship from the base of the cliff should be considered as the 654 ft.
Calculation of the distance:Since
A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation.
So the following formula should be applied
[tex]tan (17) = O/A\\\\tan (17) = 200ft / x[/tex]
x = 654.17 ft
= 654 ft
hence, The distance that represent the ship from the base of the cliff should be considered as the 654 ft.
Learn more about distance here: https://brainly.com/question/24705024
A bicycle is $240 and the sales tax is 9%. How much money is the tax?
Answer:
$21.60
Step-by-step explanation:
240 x .09 = 21.60
Help with this :))))))))))))
Answer:
24
Step-by-step explanation:
120/6=20
300/15=20
360/18=20
480/20=24
Check:
480/24=20
Answer: 20???
Step-by-step explanation:
You need to make 56 servings of Caesar dressing. Each serving takes 2 teaspoons of crushed garlic. How many teaspoons of crushed garlic do you need?
Answer:
112 teaspoons just multiply 56 by 2 with a calculator
Step-by-step explanation:
Answer:
11 teaspoons
Step-by-step explanation:
I hope this helps :)
Please can you help me .and give me the answer
Answer:
I believe that X=10 .
Step-by-step explanation:
Good luck ^^
Show on a number line 2/3 's?
how much do i need to get to 500 so rite now I have 423 and I need 500
like for exampole 485+15=15
Answer:
77
Step-by-step explanation:
just do 500-423
What quadrant is (0,-7) found in?
your answer is 1st quadrant!
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Have a good day <3
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!
Answer:
D) 1078
Step-by-step explanation: