The number of balls in the basket at first is 35.
How to find the number of balls in the basket?A basket contained 4 times as many blue balls as red balls.
Therefore,
let
x = red balls
Hence,
number of blue balls = 4x
After 21 blue balls were taken away, there were twice as many red balls as blue balls.
2(4x - 21) = x
8x - 42 = x
subtract 8x from both sides of the equation
8x - 42 = x
8x - 8x - 42 = x - 8x
-42 = - 7x
divide both sides by -7
x = -42 / -7
x = 6
Therefore,
red balls = 7
blue balls = 4(7) = 28
Total balls = 35
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Answer:
35
Step-by-step explanation:
don't ask
A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which if the following represents the p value
Answer:
[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]
Step-by-step explanation:
Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.
HELP! PLZ I need to show work too .
-12.5 - (-12)
Answer:
-0.5
Step-by-step explanation:
-12.5 - (-12) = -12.5 + 12 (because you distribute the minus sign). Then, when adding you get - 0.5
Answer:
-0.5
Step-by-step explanation:
-12.5-(-12)
-12.5 + 12
-0.5
Pls answer I got 15 points and omg pls be correct
Answer:
$119.79
Step-by-step explanation:
Formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Given:
P = 90
r = 0.1
t = 3
n = 1
Work:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]
common factor of 18 and 20
Answer: is 2.
Step-by-step explanation:
Answer:
common factor of 18 is 1 2 3 6 9 18
common factor of 20 is 1 2 4 5 20
1 2
hope it is helpful to you
Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome
Airlines, one must fly at least 7700 and less than 12600 miles each year. How many times would Miles
need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Answer:
Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
Step-by-step explanation:
Given that Miles takes a 350-mile round-trip flight to visit his parents, and to qualify for Gold status at Awesome Airlines, one must fly at least 7700 and less than 12600 miles each year, to determine how many times would Miles need to visit his parents each year to attain Gold status, the following calculation must be performed:
7700/350 = X
22 = X
12600/350 = X
36 = X
Thus, Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
An algebraic expression that contains three terms is called
Answer:
Trinomial
Step-by-step explanation:
Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.
hope this helps:)
Answer: An algebraic expression that contains three terms is called trinomial
Hope this helps!
what is the slope of the following equation y = -1/2x + 4
Answer:
the slope is -1/2
Step-by-step explanation:
HELp! WILL GIVE BRANLIEST
Answer:
330
Step-by-step explanation:
find the area of the polygon to the nearest square inch
9514 1404 393
Answer:
120 square inches
Step-by-step explanation:
The formula for the area is ...
A = (1/2)Pa
where P is the perimeter and 'a' is the apothem. The perimeter of this octagon is 8 times the side length.
A = (1/2)(8×5 in)(6 in) = 120 in²
The area of the octagon is 120 square inches.
Find the values of the variables and the lengths of the sides of the kite.
Answer: since you didnt answer mine.
Step-by-step explanation:
50 POINTS!! URGENT !! PLS HELP
Answer:
Option C
Step-by-step explanation:
The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,
1st side :-
= 8:3
2nd side :-
= 10 : 4 = 5:2
3rd side :-
= 6:5 .
Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .
Option C is correct .
If DC is about 12 units, what other length(s) can you determine? Please don’t put a link as an answer.
Answer:
How is DC 12 units if all the sides are congruent and AB clearly states that it is 9 units long?
Doesnt make sense
Chow do I solve 6w - 6 = 54
Answer:
w = 10
Step-by-step explanation:
6w - 6 = 54
6w = 54 + 6
6w = 60
w = 60/6
w = 10
Anyone know how to answer this question
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
d(x³+4x)/dx find the derivative ?
Answer:
3x²+4
Step-by-step explanation:
To find the derivative of something with respect to x, for each term multiply the power on the x in that term by the coefficient in the same term, and then lower the x's power by one.
For example, if we had to find the derivative of 2x³, we would first multiply the power on the x (3) by the coefficient (2): 6x³. Then lower the x's power by one: 6x². So the derivative of 2x³ is 6x².
To find the derivative an expression with several terms added together, you just do the same for each terms.
d(x³+4x)/dx
= [tex]\frac{d}{dx}[/tex] x³+4x
= 3x²+4
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest. 1/x, x/5,70%
Answer:
hmmm................chupapu
I want to prove that (2tanx)/(sec^2x)=sin2x.
Answer:
Step-by-step explanation:
[tex]LHS = \frac{2 tan x}{Sec^{2} x}\\\\= 2tan x * \frac{1}{Sec^{2}x}\\\\= 2*\frac{Sinx }{Cos x}*Cos^{2}x\\\\= 2Sin x *Cos x\\= Sin 2x[/tex]
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. Thecompany collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
The test yielded a t -value of 3.34 with a corresponding p -value of 0.001. Which of the following is the correct interpretation of the -value?
a. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001.
b. If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
c. If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001This answer is incorrect.
d. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
e. If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001.
Answer:
C
Step-by-step explanation:
The test produced, a t-value of 3.34 and a p-value of 0.001 as a result. The possibility of seeing a test statistic at least as extreme as 3.34 is 0.001; the proper reading of the p-value is different if the alternative hypothesis is true.
Probability calculation:p-value = 0.001
t = 3.34
Whether the alternative theory is true because there is a 0.001, and the possibility of showing testing statistics as extreme as 3.34.The p-value indicates that since the Null-hypothesis is true, there is a 0.001 chance of seeing a test statistic at least as extreme as 3.34.Therefore, the final answer is "Option d".
Find out more information about the p-value here:
brainly.com/question/14723549
Are these ratios equivalent?
28 strikes : 36 balls
7 strikes : 9 balls
Answer:
yes
Step-by-step explanation:
the ratio of 28 : 36 can be simplifeid by dividing both sides of the ratio by 4.
28/4=7
36/4=9
so the ratio of 28 : 36 is equal to 7 : 9
solve the equestion 2x³+3x²_3x=2
Answer:
2
Step-by-step explanation:
For Example, To complete the square when a is greater than 1 or less than 1 but not equal to 0, factor out the value of a from all other terms.
For example, find the solution by completing the square for:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 7x^2 – 567
lesser x =
greater x =
Answer:
Lesser x = -9
Greater x = 9
Step-by-step explanation:
Pls help with question.
Answer:
4a) 4 1/6
4b) 2
5a) 36.424
5b) 5.4
Step-by-step explanation:
When multiplying or dividing by mixed numbers, convert them into improper and just do it from left to right for each numerator and denominator
I need help with slopes!!
Answer:
The slope of this line is -4
find the difference of 13 2/5 and 3 3/4
Answer:
9 13/20
Step-by-step explanation:
An cylindrical oatmeal container has a diameter of 5 inches and a volume of 239.425 in³. What measurement is closest to the lateral surface area of the oatmeal container?
A 230.81 in.2
B 191.54 in.2
C 15.24 in.2
D 478.85 in.2
Answer:
The answer is 15.24in.2
Step-by-step explanation:
I did the math and multiplied random numbers between 15 and 15.50 and eventually I got 239.425 by multiplying 15.24 with 3.14 and 2. The correct answer is actually 15.25 but on the test I guess they rounded it. Plz give brainliest.
Square root 3 sin theta = -3 cos theta
Answer:
Step-by-step explanation:
hello : the equation is : √3 sinθ= -3 cosθ means :
sinθ/cosθ = -3/√3
sinθ/cosθ = - √3 because : 3 =√3 ×√3
but : sinθ/cosθ = tan θ
tan θ = - √3 and - √3 = tan( π - π/3) = tan(2 π/3)
you have : tan θ = tan(2 π/3)
note : tanx=tany means : x= y + k π ... k in Z
so : all solutions in R are θ = 2 π/3+k π ... k in Z
PLEASE HELP!!!
FIRST ONE TO ANSWER GETS BRAINLEST!!!
Which graph represents the solutions of the inequality k > 11?
Answer:
B)
Step-by-step explanation:
k > 11
Since the sign is > that means it's an OPEN circle
Since the sign is > that means it's going to the RIGHT
Suppose the buildings on Main Street are renumbered as if they are on a number line so that the location of the fire station represents 0. How do we describe two numbers with the same distance from 0?
☁️ Answer ☁️
Yh, im not helping you.