Answer:
x = -8, y = -7
Step-by-step explanation:
=> x = 6 + 2y
substitute x = 6 + 2y into the equation 3x - 5y = 11 to solve for y:
=> 3(6 + 2y) - 5y = 11
=> 18 + 6y -5y = 11
=> y = -7
substitute y = -7 into the equation x - 2y = 6 to solve for x:
=> x - 2(-7) = 6
=> x +14 = 6
=> x = -8
Help with number 10! Step by step please!
9514 1404 393
Answer:
x = -9 (as you know)
Step-by-step explanation:
[tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]
_____
I find it helpful to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
The town of Riverside is holding an election for mayor. Only 200
residents have voted so far and the results are shown in the table. Based on these results, what is the most reasonable prediction of the number of votes that Mr. Tonn will receive when 400 votes have been counted?
Answer:
C. 116
Step-by-step explanation:
Factorise 18a²y - 27ay?
Answer:
Factorise 18a²y - 27ay
=9ay(2a-3)
Step-by-step explanation:
9ay(2a-3)
hope it is helpful to you
What is the area of the real object that the scale drawing models?
Scale factor: 1:4
Area =
6 square cm
Scale drawing
Object
O A. 24 square cm
O B. 96 square cm
O C. 64 square cm
O D. 48 square cm
Answer:
96
Step-by-step explanation:
I just did it on a p 3 x
Review the graph of function f(x), which is defined for –4 < x ≤ 2.
On a coordinate plane, a curve starts at open circle (negative 4, 5), curves down to (negative 2, negative 4), and then curves up through (0, negative 1) to closed circle (2, 2).
Which table identifies the left-hand and right-hand limits at the endpoints?
Answer:
3rd option
Step-by-step explanation:
edge
Answer:
I just took the test and the answer is c
Step-by-step explanation:
Please answer ASAP! If 0 is an angle in quadrant II, what is the value of sin(0)
Answer:
Option A
Step-by-step explanation:
It's given that cosθ = [tex]-\frac{2\sqrt{5} }{5}[/tex]
Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]-\frac{2\sqrt{5} }{5}[/tex]
= [tex]\frac{2}{\sqrt{5}}[/tex]
By applying Pythagoras theorem in the right triangle,
(Hypotenuse)² = (Opposite side)² + (Adjacent side)²
(√5)² = (Opposite side)² + (2)²
5 = (Opposite side)² + 4
Opposite side = √(5 - 4)
= 1
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{1}{\sqrt{5}}[/tex]
Since, sine is positive in IInd quadrant,
sinθ = [tex]\frac{1}{\sqrt{5}}[/tex]
Therefore, option A will be the answer.
The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes,
Required:
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
b. State the null and alternative hypotheses for the test.
Answer:
a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.
b) The null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]
Step-by-step explanation:
Finding the confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.98[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{2.1}{\sqrt{53}} = 0.67[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes
The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.
b. State the null and alternative hypotheses for the test.
Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.
So the null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]
9x + 3 + 8x
Please help
3. The photo below is being enlarged to form
a 16-by 20- inch print. What is the scale
factor being used to enlarge it?
4 in
5 in
Answer:
4 in
Step-by-step explanation:
Given the following data;
Length = 16 in
Width = 20 in
To find the scale factor;
Scale = 16:20
Dividing by 4, we have;
Scale = 4:5
Therefore, the scale factor is 4 in.
Scale = scale factor * ratio
Scale = 4 * (4:5)
Scale = 16:20
A random sample of 900 13- to 17-year-olds found that 411 had a computer in their room with Internet access. Let p be the proportion of all teens in this age range who have a computer in their room with Internet access.Suppose you wished to see if the majority of teens in this age range have a computer in their room with Internet access. To do this, you test the hypotheses
H0: p = 0.50 vs HA : p≠0.50
The test statistic for this test is:_______.
a. 1.96
b. 2.60
c. 27.50
d. 2.59424
Answer:
The test statistic for this test is: z = -2.60, option b.
Step-by-step explanation:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
H0: p = 0.50 vs HA : p≠0.50
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
A random sample of 900 13- to 17-year-olds found that 411 had a computer in their room with Internet access.
This means that [tex]n = 900, X = \frac{411}{900} = 0.4567[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4567 - 0.5}{\frac{0.5}{\sqrt{900}}}[/tex]
[tex]z = -2.598[/tex]
The test statistic for this test is: z = -2.60, option b(should be).
Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.
Answer:
She talked for 138 minutes
Step-by-step explanation:
one sixth of a number?
A study assessed the effects of playing a computer game (solitaire) during lunch on behavioral and physiological variables. A sample of 44 healthy adults was randomly assigned to eat lunch either with the computer game distraction or without distraction. The food served for lunch was exactly the same for everyone. All participants also had the same breakfast. Thirty minutes after lunch, participants were offered cookies as a snack and were instructed to eat as many or as few cookies as they liked. Here are the summary statistics for the findings:25
Group n X Distraction 22 52.1 45.1 No distraction 22 27.1 26.4
(a) Do the findings support the hypothesis of greater snack the two-sample t statistic and P-value, and conclude
(b) Can you conclude that distraction during meals causes intake after meals taken with a distraction? State hypotheses in terms of the two population means, obtain using a significance level of 0.05 the greater snack intake? Explain your reasoning.
Answer:
H0 : μD = μN
H0 : μD > μN
Test statistic = 2.192
Pvalue = 0.017
there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Step-by-step explanation:
Given the data:
n1 = 22 ; x1 = 52.1 ; s1 = 45.1
n2 = 22 ; x2 = 27.1 ; s2 = 26.4
H0 : μD = μN
H0 : μD > μN
The test statistic :
(x1 - x2) ÷ (Sp*√(1/n1 + 1/n2))
Sp = (n1 - 1)s1² + (n2 - 1)s2²] ÷ (n1 + n2 - 2)
Sp = √[((21 * 45.1^2) + (21 * 26.4^2)) ÷ 42]
Sp = 36.952469
Test statistic :
(52.1 - 27.1) ÷ Sp * √(1/21 + 1/21))
25 ÷ (36.952469 * 0.3086066)
25 ÷ 11.4037758196954
Test statistic = 2.192
Using the Pvalue from Test statistic calculator :df = 42, Tscore = 2.192
Pvalue = 0.017
α = 0.05
Pvalue < α
Hence, there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
Answer:
2+2=4
Step-by-step explanation: big brain
what steps can be taken to find the product of 8.31 and 1,000
8300 is the product of 8.31 and 1,000
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We need to find the product of 8.31 and 1,000.
product of Eight point three one and thousand.
In the given numbers 8.31 is a decimal number and 1000 is a whole number.
To multiply both let us make thousand as a whole number by placing two zeros on right side of 1000 with a point.
1000.00
× 8.31
_________
8310
Hence, 8300 is the product of 8.31 and 1,000
To learn more on Multiplication click:
https://brainly.com/question/5992872
#SPJ2
Which set of numbers is ordered from least to greatest?
Answer:
B.3.2 ,3.317 ,3.606 ,3.61.
Step-by-step explanation:
i guess that is the answer,but if it isn't tell me I may try it again.good day.
someone pls help with this equation (subtract the following two equations, to eliminate the x variable then solve for y) ILL MARK YOU BRAINLIEST!!!
Answer: I dunnu what ur tryna do but i think x= 27y/2 and y= 2x/27
Step-by-step explanation:
50 Points! Will give brainliest!
Answer:
D.
Step-by-step explanation:
A pet store has
10 hamsters for every 8 cats.
What is the ratio of hamsters to cats?
8:18
8:10
10:8
Answer: 10:8
Step-by-step explanation:
There are 10 hamsters and 8 cats
Since hamsters is first in the ratio, you put the 10 and then the 8
10:8
Hope this helps!
Answer:
the last option 10:8....
Express 1 min as a repeating decimal part of an hour.
Help me gurlz!!!!!!!!!!!!!!!
Step-by-step explanation:
A and 3
B and 1
C and 4
D and 2
I hope this helps :)
Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +1?
Which number-line model represents the sum of 3/4 + (-1.75)?
Step-by-step explanation:
The fraction of -1.75 is -1 3/4
So, 3/4 + (-1 3/4) = 1.
A customer satisfaction analyst wants to sample owners of a certain type of car to estimate what proportion of all owners are satisfied with that car. They will use the sample data to construct a one-sample z zz interval for the proportion, and they are considering two sample sizes: a large sample of n = 800 n=800n, equals, 800 for more accurate results, or a small sample of n = 200 n=200n, equals, 200 to save time and money. Assuming the sample proportion is the same in each sample, what is true about the margins of error from these two samples?
Answer: 1/2
Step-by-step explanation:
This is straight from Khan
ample size and margin of error
In a one-sample
z
zz interval for a proportion, the
margin of error
margin of errorstart text, start color #11accd, m, a, r, g, i, n, space, o, f, space, e, r, r, o, r, end color #11accd, end text is how far our interval extends above and below the sample proportion:
(
statistic
)
±
(
margin of error
)
p
^
±
z
∗
p
^
(
1
−
p
^
)
n
(statistic)
p
^
±(margin of error)
±z
∗
n
p
^
(1−
p
^
)
Since the sample size
n
nn is in the denominator, increasing the sample size will lead to a smaller margin of error.
Hint #22 / 3
Comparing sizes of margins of error
Let's look at each margin of error in terms of its sample size.
Smaller sample,
n
=
200
n=200n, equals, 200:
=
z
∗
p
^
(
1
−
p
^
)
200
error
margin of
=z
∗
200
p
^
(1−
p
^
)
start text, e, r, r, o, r, end text, start superscript, start text, m, a, r, g, i, n, space, o, f, end text, end superscript, equals, z, start superscript, times, end superscript, square root of, start fraction, p, with, hat, on top, left parenthesis, 1, minus, p, with, hat, on top, right parenthesis, divided by, 200, end fraction, end square root
Larger sample,
n
=
800
n=800n, equals, 800:
=
z
∗
p
^
(
1
−
p
^
)
800
=
z
∗
p
^
(
1
−
p
^
)
4
⋅
200
=
z
∗
1
4
⋅
p
^
(
1
−
p
^
)
200
=
1
2
⋅
z
∗
p
^
(
1
−
p
^
)
200
error
margin of
=z
∗
800
p
^
(1−
p
^
)
=z
∗
4⋅200
p
^
(1−
p
^
)
=z
∗
4
1
⋅
200
p
^
(1−
p
^
)
=
2
1
⋅z
∗
200
p
^
(1−
p
^
)
Even though
800
800800 is
4
44 times larger than the smaller sample, the margin of error from the larger sample is
1
2
2
1
start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.
Equivalently, the margin of error from the smaller sample is
2
22 times the margin of error from the larger sample.
Hint #33 / 3
Answer
The margin of error from the larger sample will be
1
2
2
1
start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.
Answer:
1/2
Step-by-step explanation:
26) Which of these equations is parallel to -3x - y = 1?
A) y
12 x – 5
3
B) y = 3x + 4
C) y
= -3x
1
D) y = x + 1
Answer:
y=-3x
Step-by-step explanation:
use the point slope formula to find the line parallel to -3x-y=1
Answer:
B) y = 3x+4
Step-by-step explanation:
A parallel line should include the same the same slope for it to be parallel
A pair of jeans is on sale for $30, 25% off the original price. What is the original price?
Step-by-step explanation:
Let $p be the original price.
[tex](1 - 25\%)p = 30 \\ \frac{75}{100}p = 30 \\ p = 40[/tex]
∴ The original price is $40.
There are 56 sheep in a paddock. Each sheep is either black or white. There are 6 times as many white sheep than black sheep. How many black sheep are there?
Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.
first, let's define the variables:
x = number of black sheep
y = number of white sheep.
We know that:
"there are 56 sheep"
Then we can write:
[tex]x + y = 56[/tex]
We also know that there are 6 times as many white sheep than black sheep, this means that:
[tex]y = 6 \cdot x[/tex]
Then we have a system of equations:
[tex]x + y = 56[/tex]
[tex]y = 6\cdot x[/tex]
To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.
Now we can replace that variable in the other equation:
[tex]x + y = 56[/tex]
[tex]x + 6\cdot x = 56[/tex]
Now we can solve this for x, the number of black sheep:
[tex]7\cdot x = 56\\\\x = 56/7 = 8[/tex]
There are 8 black sheep.
If you want to learn more, you can read:
https://brainly.com/question/24374693
If x= 10 which lines are parallel? Check all that apply. (8x - 25) b (12x - 5) (7x - 5) (10x + 15) a
Answer:
150 A
Step-by-step explanation:
THIS THE ANSWER
I HOPE IT HELPS
find the surface area 3 No files
Answer:
872 sq inches
Step-by-step explanation:
Total surface area = 2 × (17 × 12) + 2 × (8 × 17) + 2 × (12 × 8)
= 408 + 272 + 192 = 872
a fruit ponch can is 1/4 or 35 L ?
Answer:
35 L
Step-by-step explanation:
because it cant be 1/4