Answer: 12%
Step-by-step explanation:
Rewrite 8.24 × 10^6 in standard notation.
824,000
8,240,000,000
82,400,000
8,240,000
Answer:
The last choice 8,240,000.
Step-by-step explanation:
The exponent 6 tells us there are 6 digits after the first digit (8).
Answer is 8,240,000
Chris spending some of his birthday money on art supplies. He spends 1/6 of his money on paint and 2/3 of his money on markers. What fraction of his birthday money does he have left? (multi-step problem -must dd and subtract)
A. 5/6
B. 3/6
C. 1/2 (wrong)
D. 1/6
Believe it or not, there are some people who don't think that Duke will win the NCAA tournament this year. Let's say that you want to measure the average intelligence of Duke Doubters. Problem is you could only find 28 DDs on this whole campus. The mean of your sample was 90 and the standard deviation was 60. Calculate the 90% Confidence Interval for the IQ of DDs
Answer:
The 90% confidence interval is [tex] 87.95 < \mu < 92.05 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 28[/tex]
The sample mean is [tex]\= x = 90[/tex]
The standard deviation is [tex]s= 60[/tex]
Generally given that the sample size is not large enough i.e n < 28 then we will make use of the t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 28 - 1[/tex]
=> [tex]df = 2 7[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex] is
[tex]t_{\frac{\alpha }{2} , 27 } = 2.052[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]90 - 2.052 < \mu < 90 + 2.052 [/tex]
=> [tex] 87.95 < \mu < 92.05 [/tex]
Complete this division sentence.
9988 + 23 =
R
Correct question is;
Complete this division sentence.
9988 ÷ 23 = R
Answer:
9988 ÷ 23 = 434 R 6
Step-by-step explanation:
....... 434
_________
23|9988
......92
¯¯¯¯¯¯¯¯¯¯¯
........ 788
.........69
¯¯¯¯¯¯¯¯¯¯
........... 98
............92
¯¯¯¯¯¯¯¯¯¯¯
............. 6
Thus ; 9988 ÷ 23 = 434 R 6
What postulate/theorem can be used to prove the following triangles congruent?
Answer:
ASA
Step-by-step explanation:
since 2 angles and 1 side is the same, the triangles are congruent by the ASA theorem
(x - 12) - 5 = 3x - 2
x = ?
Answer:
not equal
Step-by-step explanation:
Answer:
x= -7.5
Step-by-step explanation:
x-12-5=3x-2
x-17=3x-2
-2x=15
x=-7.5
Write the equation of a parabola containing the point 6,3 with vertex at 5,-3
Answer:
y = 1/3 x 2 +4 x + 15
Step-by-step explanation:
y = a (x - h)2 + k
where (h,k) are the coordinates of the vertex and a is a multiplier
here (h,k) = ( - 6, 3)
y = a ( x + 6)2 + 3
to find a substitute (12,9) into the equation
9 = 18 a + 3
18 a = 9 - 3 = 6 a = 6/18 = 1/3
y = 1/3 (x + 6)2 + 3
distributing gives
y = 1/3 (x2 + 12x + 36) + 3
y = 1/3x2 + 4x + 15
Damian has two summer jobs. He works as a tutor, which pays $12 per hours, and he works as a lifeguard, which pays $9.50 per hour. He can work no more than 20 hours a week, but he wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation, where x is the number of hours worked as a tutor, and y is the number of hours worked as a lifeguard?
A.12x + 9.5y ≤ 220 AND x + y ≥ 20
B.12x + 9.5y ≤ 220 AND x + y ≤ 20
C.12x + 9.5y ≥ 220 AND x + y ≤ 20
D.12x + 9.5y ≥ 220 AND x + y ≥ 20
Answer:
B 12x + 9.5y ≤ 220 AND x + y ≤ 20
Step-by-step explanation:
Answer:
A.12x + 9.5y ≤ 220 AND x + y ≥ 20
Step-by-step explanation:
≤ 220 symbolizes that he can earn 220 or more than 220.
≥ 20 symbolizes that he can work 20 hours or less.
What is the function written in vertex form?
f(x) = 4(x + 6)2 + 10
f(x) = 4(x + 6)2 – 26
f(x) = 4(x + 6)2 – 134
f(x) = 4(x + 6)2 + 154
Answer:
(C) f(x) = 4(x + 6)2 – 134
Step-by-step explanation:
edge 2022
A marketing researcher conducts a test to determine whether the number of chocolate chips per cookie differs significantly across two brands of chocolate chip cookies. A random sample of 10 Chewy Delight cookies reveals a mean of 6.4 chocolate chips per cookie and a standard deviation of 1.1 chocolate chips per cookie. A random sample of 11 Chips Destroy cookies reveals a mean of 5.6 chocolate chips per cookie and a standard deviation of 1.7 chocolate chips per cookie. Assuming unequal population variances, what is the calculated value for the associated test statistic?
Answer: the value for the associated test statistic is 1.2653
Step-by-step explanation:
Given that;
sample size one n₁ = 10
mean one x"₁ = 6.4
standard deviation one S₁ = 1.1
sample size two n₁ = 11
mean two x"₂ = 5.6
standard deviation one S₁ = 1.7
H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂
Pooled Variance
sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))
we substitute
= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))
= √( { [(9) × 1.21 + (10) × 2.89] / (19) } × (0.1909))
= √({[ 39.79 ] / 19} × (0.1909))
= √( 2.0942 × 0.1909)
= √( 0.39978 )
= 0.63228
Now Test Statistics will be;
t = ( x"₁ - x"₂) / sp
we substitute
t = ( 6.4 - 5.6) / 0.63228
t = 0.8 / 0.63228
t = 1.2653
Therefore the value for the associated test statistic is 1.2653
Please answer ASAP. Also please explain because even though I put it on here I still want to know how to do it. Tysmm
9514 1404 393
Answer:
see below
Step-by-step explanation:
First row
Fill in the given x-value and solve for y:
3(-4) +2y = -6
-12 +2y = -6
-6 +y = -3 . . . . . divide by 2
y = 3 . . . . . . . . . add 6
__
Second row
Fill in the given y-value and solve for x:
3x +2(0) = -6
x = -2 . . . . . . . . . divide by 3
jimmy wants to buy socks that cost $20 how much change does he receive if he gives the cashier $100?
I need some help please
Answer:
The awnser is A or -7/5
Step-by-step explanation:
you have to put the points into the formula y²-y¹/x²-x¹ (this is a fraction the y part is on top and the x part is on the bottom) then you need to plug in the numbers so it would look like 5-(-2)/-2-3. then you would add 5+2 since that is what -(-) means. then you would take 2+3 as -2-3. so the awnser would be -7/5.
Hope this helps
Carla packed this box with 1-centimeter cubes. What is the volume of the box?
Answer:
60 cm 2
Step-by-step explanation:
Answer:
60 cubic cm
Step-by-step explanation:
i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm
hoped it helped :)
If 3x + 2y = 10 and 2x + 3y = 15, find the value
of x+y.
Answer:
x+y=5
Step-by-step explanation:
Isolate y in the first equation:
3x+ 2y = 10
2y = 10 - 3x
y= (10 - 3x)/2
substitute this value of y into the second equation:
2x + 3 ((10 - 3x)/2) = 15
now solve for x:
2x + 3/2 (10 - 3x) =15
2x + 15 - 9/2x = 15
-5/2 x = 15 - 15
-5/2 x / (-5/2) = 0/(-5/2)
x=0
now use this value to solve for y:
y = (10 - 3(0))/2
y = 10/2
y = 5
now x+y
0+5=5
Write as quotient of powers.
Answer:
I said C on my test but I'm pretty sure its right
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and the denominator. 12 mi to 28 mi
Answer:
3/7
Step-by-step explanation:
12 ÷ 4
28 ÷ 4
line
Passing through (4,5) and perpendicular to
Equation y= -2x+3
Answer:
1/2x+3
Step-by-step explanation:
I graphed it
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?
Answer:
3 milkshakes 3 sundaes
Step-by-step explanation:
First write the equation.
y = total cost
x = cost of sundae
z = cost of milkshake
21=2x+5z
x+z=6 or x = 6-z
substitute in x = 6-z into the first equation
21 = 2(6-z) + 5z
21 = 12 - 2z + 5z
21 = 12 + 3z
subtract 12 from both sides
21 - 12 = 12 - 12 + 3z
9 = 3z
divide both sides by 3
3 = z
so she bought 3 milkshakes.
That means x+z = 6 and z=3 so
x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.
please give thanks by clicking the heart button :)
Answer:
she bought 3 sundaes and 3 milkshakes
Step-by-step explanation:
let's call the amount of milkshakes M.
let's call the amount of sundaes S.
you know that in total, there are 6 children.
so, you can make the following equation:
M + S = 6
if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m
if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S
you also know that Mrs. Browning spent 21$ in total.
so, you can make the following equation:
5m + 2S = 21
this is a system of equations.
using the first equation, you know that M = 6 - S
you can substitute M for 6 - S in the second equation
5m + 2s = 21
5(6 - s) + 2s = 21
30 - 5s + 2s = 21
30 - 3s = 21
30 = 21 + 3s
30 - 21 = 3s
9 = 3s
3 = snow that you know how many sundaes there are, you can substitute that into the first equation:
m + s = 6
m + 3 = 6
m = 6 - 3
m = 3Which product is positive?
Answer:
The 3rd one
Step-by-step explanation:
Can have brainliest
Answer:
The 3rd one
Step-by-step explanation:
hope it helps
also can i have brainlist
I need help with this question.
Answer:
False.
Step-by-step explanation:
Any straight line may have infinite number of points (solutions) lying on it.
Therefor, straight line 'l' can't have exactly two solutions.
Line 'l' will have infinitely many solutions.
Exactly one or two solutions are possible only when two lines or functions intersect each other.
Therefore, answer is false.
Find the ratio :
1/2 hour to 45 minutes
Answer:
The answer is 2 : 3.
Step-by-step explanation:
First, you have to convert the units to minutes :
1 hr = 60 min
1/2 hr = 60 × 1/2 = 30 min
Then, you have to simplify the ratio to simplest form :
30 : 45
= (30÷15) : (45÷15)
= 2 : 3
Answer:
To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:
60/2 = 30
So we know half hour are 30 minutes.
Now, we know the ratio 30:45, but we can simplify it, as a fraction.
To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):
30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3
PLEAS HELP ME!!!!!!!!!!!!!!!!Use a unit rate to find the unknown value.
52/13, 12/?
Answer:
1. 40/8 = 45/9
2. 42/14 = 15/5
3. 14/2 = 56/8
4. 8/4 = 26/13
Step-by-step explanation:
Which shows the equation below written in the form ax^2+bx+c=0 ? x^2+8x+10=3
Answer:
[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]
Step-by-step explanation:
We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.
We are given the equation:
[tex]x^2+8x+10=3[/tex]
We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.
It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.
[tex]x^2+8x+10-3=3-3[/tex]
[tex]x^2+8x+(10-3)=0[/tex]
[tex]x^2+8x+7=0[/tex]
The equation in standard form is x²+8x+7=0
divide partial quotient 308 divide by 4
Answer:
77 is the answer your welcome
124 – 70 = n – 35 I need the answer i please this is very importend
Answer:
N=89
59 = n - 35
54+35 = n
89=n
n=89
Let n1=50, X1=10, n2=50, and X2=30. Complete parts (a) and (b) below. a. At the 0.10 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≤π2 H1: π1>π2 B. H0: π1≠π2 H1: π1=π2 C. H0: π1≥π2 H1: π1<π2 D. H0: π1=π2 H1: π1≠π2 Your answer is correct. Calculate the test statistic, ZSTAT, based on the difference p1−p2. The test statistic, ZSTAT, is nothing.
Answer:
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
There is a difference between the two Population proportions
Step-by-step explanation:
Step(i):-
Given first sample size (n₁) = 50
Given proportion of the first sample p⁻₁= 0.2
Given second sample size (n₂) = 50
Given proportion of the second sample p₂⁻ = 30/50 = 0.6
Null Hypothesis : H₀: p₁⁻=p₂⁻
Alternative Hypothesis : H₁: p₁⁻≠p₂⁻
Step(ii):-
Z-statistic
[tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]
Where
[tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]
[tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]
Z-statistic
[tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]
Z = -4.089
Level of significance =0.10
Z₀.₁₀ = 1.645
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
Final answer:-
There is a difference between the two Population proportions
find an equation in standard form of the parabola passing through the points (0, - 1), (1, 5), (- 1, - 5)
Answer:
The equation of the parabola in standard is [tex]y=x^{2}+5x-1[/tex]
Step-by-step explanation:
The standard form equation of the parabola is:
[tex]y=ax^{2}+bx+c[/tex]
Using the three points we can find a, b and c.
Let's put the first point (0,-1)into the standard form equation.
[tex]-1=a(0)^{2}+b(0)+c[/tex]
[tex]c=-1[/tex]
Using the second point (1,5) and the value of c found above.
[tex]5=a(1)^{2}+b(1)+c[/tex]
[tex]5=a+b-1[/tex]
[tex]6=a+b[/tex] (1)
Finally using the las point (-1,-5)
[tex]-5=a(-1)^{2}+b(-1)+c[/tex]
[tex]-5=a-b-1[/tex]
[tex]-4=a-b[/tex] (2)
Solving the system of equations (1) and (2) we can find a and b.
[tex]6=a+b[/tex]
[tex]-4=a-b[/tex]
Adding both of them we have:
[tex]2=2a[/tex]
[tex]a=1[/tex]
And b = 5.
Therefore, the equation of the parabola in standard form will be.
[tex]y=x^{2}+5x-1[/tex]
I hope it helps you!
If you double the radius of a circle, then you will quadruple the circumference of the circle
Answer:
False
Step-by-step explanation:
No options is attached to the question. However, I'll assume it's a true or false question.
Represent the radius with r.
The circumference is calculated as:
X = 2πr
When the radius is doubled, the new radius R is
R = 2r
And the new circumference, C is:
C = 2πR
Substitute 2r for R
C = 2π * 2r
C = 4πr
Factorize the above equation.
C = 2 * 2πr
Recall X = 2πr;
The expression becomes:
C = 2 * X
C = 2X
This means that the circumference is doubled, not quadrupled.
Hence, the statement is false.
Please help thank you..
Solve the following equation:
3x^2= -12
Picture above of the options.^
Answer:
Step-by-step explanation:
option d