Answer:
x = 1
y = 1
Step-by-step explanation:
Since it gives you the value of y already, all you need to do is plug it into the equation, like so:
y = -3x + 4
1 = -3x + 4
Now, subtract 4 from both sides:
1 = -3x + 4
-4 - 4
________
-3 = -3x
Finally, divide both sides by -3:
-3 = -3x
1 = x
So now you have, x = 1 and y = 1.
The school that Julio goes to is selling tickets to a spring musical. On the first day of ticket sales
the school sold 12 senior citizen tickets and 1 child ticket for a total of $75. The school took in
$170 on the second day by selling 1 senior citizen ticket and 11 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.
A) senior citizen ticket: $4, child ticket: $23 B) senior citizen ticket: $15, child ticket: $5
C) senior citizen ticket: $7, child ticket: $8 D) senior citizen ticket: $5, child ticket: $15
Answer:
the answer is D
Step-by-step explanation:
12 times 5 equals 60 1 times 15 eqauls 15 60+15=75
Answer:D
Step-by-step explanation:12 senior tickets times 5 dollars each equal $60 plus 15 dollars for one child ticket equal $75
11 child tickets times 15 dollars each equal $165 plus 5 dollars for 1 senior ticket equal $170
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size?
The margin of error for this data set is 2.5%. What is the 95% confidence interval using only 1 decimal?
Final answer:
The sample size for the Gallup poll is 1,627 adults. For the 95% confidence interval with a 2.5% margin of error and an engagement rate of 22%, the interval is (19.5%, 24.5%).
Explanation:
The sample size mentioned in the Gallup poll is 1,627 adults. To calculate the 95% confidence interval for the estimated proportion of adults who felt fully engaged with their mortgage provider, we use the provided percentage (22%) and the margin of error (2.5%).
The confidence interval formula is:
Confidence Interval = Estimate ± Margin of Error
In this case, the point estimate is 22% (or 0.22 as a decimal). The margin of error (MOE) is 2.5% (or 0.025 as a decimal).
To find the confidence interval, we subtract and add the margin of error from the point estimate:
Lower limit = 0.22 - 0.025 = 0.195
Upper limit = 0.22 + 0.025 = 0.245
Therefore, the 95% confidence interval in decimal form is (0.195, 0.245). Converting to percentages and rounding to one decimal place, we obtain:
95% Confidence Interval: (19.5%, 24.5%)
The sample size for the Gallup poll is 1,627 adults. 95% confident that the true proportion of all adults who feel fully engaged with their mortgage provider is between 19.5% and 24.5%.
To find the 95% confidence interval, we use the formula for a confidence interval for a proportion, which is given by:
[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}} \][/tex]
where:
- [tex]\( \hat{p} \)[/tex] is the sample proportion (0.22 in this case),
- Z is the Z-score corresponding to the desired confidence level (1.96 for 95% confidence),
- n is the sample size (1,627 in this case).
The margin of error (ME) is calculated by:
[tex]\[ ME = Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}} \][/tex]
Given that the margin of error is 2.5%, we can solve for the standard error (SE) and then use it to find the confidence interval.
[tex]\[ ME = Z \times SE \] \[ 0.025 = 1.96 \times SE \] \[ SE = \frac{0.025}{1.96} \] \[ SE \approx 0.01276 \][/tex]
Now we can find the confidence interval:
[tex]\[ \text{Lower bound} = \hat{p} - ME = 0.22 - 0.025 = 0.195 \] \[ \text{Upper bound} = \hat{p} + ME = 0.22 + 0.025 = 0.245 \][/tex]
Therefore, the 95% confidence interval for the proportion of adults who felt fully engaged with their mortgage provider is approximately (19.5%, 24.5%).
A skateboard is on sale for 60% off the regular $80 price. What is the sale price?
$60
$32
$48
$20
Answer:
The answer is 32
Step-by-step explanation:
hope this helps
Answer:
$32
Step-by-step explanation:
What points are the vertices of this polygon? Select all
that apply.
(1,2)
(2.1)
(-2. -3)
(-3,-2)
Answer:
A, c, d, F
Step-by-step explanation:
Answer:
(2, 1) (–3, –2) (–3, 4)
Step-by-step explanation:
WILL MARK BRAINLIST thank you
Answer:
f(x) = [tex]3^x[/tex]
Step-by-step explanation:
This doesn't really look like a linear model, so it might be exponential.
Let's write the equation: y = a[tex]b^x[/tex]. Plug in a few values for y and x to find a and b:
9 = a[tex]b^2[/tex] ⇒ a = 9/b²
27 = a[tex]b^3[/tex] ⇒ a = 27/b³
Set these equal:
9/b² = 27/b³
9b = 27
b = 3
Plug this in to find a:
a = 9/b² = 9/9 = 1
The equation is:
f(x) = [tex]3^x[/tex]
Answer:
Y = 3^X
Step-by-step explanation:
this is an exponential function
Y = a(b^X)
9 = ab²
27 = ab³
b = 3
9 = a(3)²
a = 1
Flies in a nest double every 12 hours. If the nest starts with 10 flies, how many will you have in 3 days?
Which equation can be rewritten as x + 4 = x2?
Answer:
x^2 - x - 4
Step-by-step explanation:
I'm not sure if this is the answer you're looking for...
Answer:
x2= x + 4 is the answer. Have a great day.
Step-by-step explanation: brainliest please!!
Find the value of X in this equilateral triangle.
Answer:
x=4
Step-by-step explanation:
Since this is an equilateral triangle, all the sides are equal
6x = 4x+8 = 3x +12
Using the last 2 parts
4x+8 = 3x +12
Subtract 3x from each side
4x-3x +8 =3x+12-12
x+8 = 12
Subtract 8 from each side
x+8-8=12-8
x = 4
Name one type of graph you've seen that helps organize numerical data.
Answer: A bar graph
Step-by-step explanation: A bar graph helps reperesent numerical data, and is easily organized.
I hope this helps!
How to find the mean and standard deviation of the sampling distribution of the sample proportion when a random sample of 100 people were chosen based on a study at 76% of Americans believe
Answer:
bvcxz
Step-by-step explanation:
Salma wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simple interest. They lend her $4000 for 2 years. She makes no payments except the one at the end of that time.
(a) How much total interest will Salma have to pay?
(b) What will the total repayment amount be (including interest)?
Answer:
Total Interest at the end of two years will be $320. She will owe a total repayment amount of $4000 plus $320 for a total of $4320.
Step-by-step explanation:
Hope this helps.
What is the radius and diameter of the following circle
Answer:
Radius: 16cm
Diameter: 32cm
Step-by-step explanation: Diameter 2 times the radius. Pls give me brainliest
Answer:
Radius=16 cm Diameter=32 cm (let me know if it is for some reason incorrect)
Step-by-step explanation:
Diameter (just multiply the radius by 2)=32 cm
Radius (the length from the perimeter to the center)=16 cm
Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number of red cars. How many cars are white? A) 24 B) 47 C) 48 D) 51
Answer:
D.51
Step-by-step explanation:
I saw this question was already asked and answered so i just gave the answer but if you want the explanation just search your question.
The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did not report fatigue.
Which calculation shows that selecting a subject who took the drug and selecting a subject who reported fatigue are dependent events?
Choose all answers that are correct.
— P(drug) = 0.6
P(drug | fatigue) ≈ 0.727
0.6 ≠ 0.727
— P(fatigue) = 0.44
P(fatigue | drug) ≈ 0.533
0.44 ≠ 0.533
— P(drug) = 0.6
P(fatigue) ≈ 0.44
0.6 ≠ 0.44
—P(drug and fatigue) = 0.32
P(drug) • P(fatigue) = 0.264
0.33 ≠ 0.264
Answer:
Therefore, the correct options are;
-P(fatigue) = 0.44
[tex]P(fatigue \left | \right drug)[/tex] = 0.533
--P(drug and fatigue) = 0.32
P(drug)·P(fatigue) = 0.264
Step-by-step explanation:
Here we have that for dependent events,
[tex]P(A \, and \, B)= P(A)\times P(B\left | \right A )[/tex]
From the options, we have;
[tex]P(fatigue \left | \right drug)[/tex] = 0.533
P(drug) = 0.6
P(drug and fatigue) = 0.32
Therefore
P(drug and fatigue) = P(drug)×[tex]P(fatigue \left | \right drug)[/tex]
= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)
Therefore, the correct options are;
-P(fatigue) = 0.44
[tex]P(fatigue \left | \right drug)[/tex] = 0.533
--P(drug and fatigue) = 0.32
P(drug)·P(fatigue) = 0.264
Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.
The table shows the circumference of a tree in centimeters, y, at x years. Choose the function that represents the data.The table shows the circumference of a tree in centimeters, y, at x years. Choose the function that represents the data.
Answer:
B
Step-by-step explanation:
On edge
Answer:
y=2.7x
Step-by-step explanation:
please help!! thanks!!
Answer:
question must be wrong or i read it wrong
Step-by-step explanation:
4x + 116 = 180 ..sum of exterior angles
x = 16
2x - 3y + 4x = 180 ...sum of st. line
3y = 6 * 16 -180
3y = -84....False
How is Johnson's speech similar to Kennedy's?
Check all of the boxes that apply.
He sees the future as a test.
He sees his program as a challenge.
He says his program depends on the actions
of the people of the US.
Answer:
He sees the future as a test.
He sees his program as a challenge.
He says his program depends on the actions
of the people of the US.
Step-by-step explanation:
i think it's tho i hope this help
The reasons why Johnson's Speech is similar to Kennedy's Speech is because;
A: He sees the future as a test.
B: He sees his program as a challenge.
C: He says his program depends on the actions
What is the similarity in speech?John F. Kennedy and Lyndon B, Johnson were former Presidents of the USA and they delivered speeches on civil rights. Now, both Kennedy and Johnson were effective in their speeches by utilizing their credibility as Presidents to back up the statistical and logical evidence.
Now, although Kennedy was more effective in delivering his speech due to his use everyday situations to appeal to the audience’s emotion, there were some similarities between his speech and that of Johnson and they are;
A: He sees the future as a test.B: He sees his program as a challenge.C: He says his program depends on the actionRead more about similar speeches at; https://brainly.com/question/25887038
Find the third side in simplest radical form:
If the arc of a circle has length 10π and the circumference of the circle is 30π, what is the measure of the central angle that intercepts the arc?
We have been given that the arc of a circle has length 10π and the circumference of the circle is 30π. We are asked to find the measure of the central angle that intercepts the arc.
We will use arc length and circumference of circle formula to solve our given problem.
[tex]l=r\theta[/tex], where,
l = Arc length,
r = radius,
[tex]\theta[/tex] = Central angle that intercepts to arc.
[tex]C=2\pi r[/tex], where C represents circumference of circle.
We can solve for radius using circumference formula as:
[tex]30\pi=2\pi r[/tex]
[tex]\frac{30\pi}{2\pi}=\frac{2\pi r}{2\pi}[/tex]
[tex]15=r[/tex]
Upon substituting arc length and radius in arc length formula, we will get:
[tex]10\pi =15\theta[/tex]
[tex]\frac{10\pi}{15} =\frac{15\theta}{15}[/tex]
[tex]\frac{2\pi}{3} =\theta[/tex]
Therefore, the measure of central angle that intercepts the arc would be [tex]\frac{2\pi}{3}[/tex].
Hello everybody! If anybody could help me out that would be amazing!
Here are the answer choices:
-132
-560
- -130
- -458
- -214
-210
Answer:
-132, -560, -210
Hope this helps!
(Please mark brainliest!)
PLEASE HELP ASAP
1) (7.01, 7.02, & 7.03) Choose a trinomial to factor. Show ALL work: 3x2 − 15x + 18 10a2 + 5a − 30 4n2 − 10n − 24
2) (7.05) Using the function from question #1, determine the zeros & the y-intercept of the function. Show ALL work, then GRAPH.
3) (7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
4) (7.04) Determine the expression that shows a difference of perfect squares and factor it, showing ALL work.
16x2 − 81
14x2− 49
9x2 + 100
Answer:
1) 3x² - 15x + 18
2) y-intercept: 18
Zeros: 2 and 3
3) 12x ; (x - 6)²
4) 16x² - 81; (4x - 9)(4x + 9)
Step-by-step explanation:
3x² - 15x + 18
3(x² - 5x + 6)
3[x² - 2x - 3x + 6]
3[x(x - 2) - 3(x - 2)]
3(x - 2)(x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
Zeros: 2 and 3
y-intercept: at x = 0
3(0-2)(0-3) = 18
x² - 2(x)(b) + 6²
b = 6
2x(6) = 12x
(x - 6)²
16x² - 81
(4x)² - 9²
(4x - 9)(4x + 9)
(2.2 • 10^-3)(4.10^-2) please help
Answer:
it would be 0.000088 hope this helps also is it just 4 or is it 4.10
Step-by-step explanation:
Louise sold 340 soft pretzels. If she sold them in groups of 17 soft pretzels, how many groups did she sell? A. 22 B. 20 C. 19 D. 21
Answer:
B) 20
Step-by-step explanation:
340/17=20
The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to pay each month?
Answer:
148.35
Step-by-step explanation:
43%of345=148.35
For 15 points please help
Answer:
The movers will need 3 crib-jacks
Step-by-step explanation:
Since each crib jack can lift 30,000lbs, and without the belongings it only weighs 90,000, which divided by 30,000 equals 3.
Which equation represents a line that passes through the two points in the
table?
| 6|6|
O A. y+6 - (x +6)
O B. y-1-(x-3)
O C. y-5-2 (x - 5)
Answer:
B I think
Step-by-step explanation:
The lines is represented by,
(D) y - 1 = 5/3 ( x - 3)
What is mean by equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides.
As, the solution given:
put x=3
y-1 = 0
y=1
Similarly, x= 6
y-1= 5/3 (3)
y-1 = 5
y=6
Hence, the lines represent y-1 = 5/3 ( x- 3)
Learn more about equation here:
brainly.com/question/10413253
#SPJ1
There are 213 guests waiting in line for a water-rafting ride at Splash Pad Water
Park. A maximum of 7 people can ride a raft at one time. What is the smallest
number of rafts the water park needs for this number of guests? HINT: Is there a
remainder in this problem? If so, solve the division problem and then go back and
read the question again carefully. *
Your answer
Answer:
I divided 213 and 7 and the answer was 30.4. So the answer is 30 rafts.
Step-by-step explanation:
Divide the 2 numbers..... 213/7=30.42855714
Round the decimal to the nearest tenth..... 30.4
Round 30.4 to the nearest whole..... 30
I hope I've helped! Please leave a Vote and Thanks!
Final answer:
The smallest number of rafts the water park needs for 213 guests waiting in line is 31.
Explanation:
To determine the smallest number of rafts needed for 213 guests, we divide the total number of guests by the maximum number of people that can ride a raft at one time.
Dividing 213 by 7, we get a quotient of 30 and a remainder of 3.
Since we cannot have a partial raft, we need to add another raft to accommodate the remaining 3 guests. Therefore, the smallest number of rafts the water park needs is 31.
Using the figure on the left, what is the measure of ∠ZWY and ∠ZYW? 60° + c° + 90° = 180° c = ? c° + d° + 90° = 180° d = ?
Answer
the first one is 30 and the second one is 60
Step-by-step explanation:
Answer:
the first one is 30 and the second one is 60
Step-by-step explanation:
Which of the following equations have exactly one solution?
Choose all answers that apply:
A
-5x + 12 = 5x + 12
®
-5x + 12 = 5x – 5
©
-5x + 12 = -12x – 12
)
0
-5x + 12 = -5x – 12
Show Calculator
Upon evaluating each equation, it is determined that options B (-5x + 12 = 5x - 5) and C (-5x + 12 = -12x - 12) are the ones that have exactly one solution, while options A and D have no solutions.
Explanation:To determine which of the given equations have exactly one solution, we can analyze each equation individually:
A. -5x + 12 = 5x + 12: Both sides of the equation are equal except for the opposite signs of the x terms. This means that, no matter what value x takes, the x terms will cancel each other out, making the equation incorrect. Hence, this equation has no solutions.B. -5x + 12 = 5x - 5: The x terms here can be moved to one side and the constants to the other. Adding 5x to both sides gives -5x + 5x + 12 = 5x + 5x - 5, simplifying to 12 = 10x - 5. Thus, this equation can be solved for x, indicating it has exactly one solution.C. -5x + 12 = -12x - 12: Again, we move all x terms to one side and the constants to the other to get -5x + 12x = -12 - 12, simplifying to 7x = -24. Solving for x, we get x = -24/7, indicating that this equation also has exactly one solution.D. -5x + 12 = -5x - 12: In this equation, the x terms are identical on both sides, meaning they will cancel out, leaving us with 12 = -12, which is never true. Hence, this equation has no solutions.From this analysis, we see that options B and C have exactly one solution.
what is the area of the rectangle ?
Answer:
54.
Step-by-step explanation:
The area is length x width.
6 x 9 = 54