Step-by-step explanation:
5x - 2y
5(-2) - 2(-2)
-10 + 4
= - 6
Rounded to three decimal places, the value of the irrational number e is?
Answer:
2.178
hope it helps!
Answer:
2.718
______________________________
One apple and three oranges cost $5.10 and another 5 oranges and one Apple cost $7.50 what is the price of one apple and one orange
Answer:
$2.7
Step-by-step explanation:
Let the price of one apple be x
and the price of one orange y
Hence ;
One apple and 3 oranges would cost:
x + 3×y = $5.10----------------------------(1)
One apple and 5 oranges would cost;
x + 5×y = $7.50--------------------------(2)
Subtracting eqn (1) from (2), we have :
x-x + 5y -3y = 7.5- 5.1
2y = 2.4
y = $1.2
From eqn(1)
x + 3y = $5.10
x= $5.10-3($1.2) = $5.10-$3.6 = $1.5
Hence x=$1.5 and y= $1.2
We are required to find the cost of one apple and one orange, hence :
x+y = $1.5+$1.2= $2.7
Angie bought 44 pencils and paid 66.00. She sold the pencils at a rate of 2 for $3.50
calculate her profit.
Answer:
Profit of $11.00
Step-by-step explanation:
44÷2=22
22×$3.50=$77
$77.00-$66.00=$11.00/profit
The cafe where you work just ran out of coffee and you are at the store to buy 1 and 1/2 pounds of coffee you have to put a can with 3/4 pound of coffee in to your shopping cart how many more pounds of coffee do you need
Answer:
3/4 lbs more
Step-by-step explanation:
1 1/2 - 3/4 = 3/4
You need 3/4 lbs more coffee to have 1 1/2 lbs
The three hands of an accurate 12-hour clock make a total of _?_ complete revolutions around the clock’s face every 24 hours. (A) 72 (B) 733 (C) 1466 (D) 10 104
Answer:
(C) 1466
Step-by-step explanation:
The hour hand makes one revolution each 12 hours. So it makes 2 revolutions a day.
The minute hand makes one revolution each hour. So it makes 24 revoulutions a day.
The second hand makes one revolution each minute. So it makes 24*60 = 1440 revolutions a day.
In total:
2 + 24 + 1440 = 1466
The correct answer is C.
What is the index when x^2/3 is rewritten as a radical expression?
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x^{2} }[/tex] written as a radical expression
The radical is the symbol that is used to represent the root in the expression n√x. The index in the given expression x^(2/3) when rewritten as a radical expression is 3.
What is a radical?The radical is the symbol that is used to represent the root in the expression n√x.
Given the expression [tex]x^{\frac23}[/tex], which can be rewritten in the form of radical as,
[tex]x^{\frac23}\\\\[/tex]
[tex]= x^{2 \times \frac13}\\\\[/tex]
Using the law of exponent, [tex]a^{\frac1x} = \sqrt[x]{a}[/tex], then we can write,
[tex]= \sqrt[3]{x^2}[/tex]
Now, in the given expression 3 is an index, x² is the radicand and the symbol √ is known as the radical.
Hence, the index in the given expression x^(2/3) when rewritten as a radical expression is 3.
Learn more about the Radical here:
https://brainly.com/question/1369233
#SPJ2
A study done by researchers at a university concluded that 70 70% of all student athletes in this country have been subjected to some form of hazing. The study is based on responses from 1 comma 900 1,900 athletes. What are the margin of error and 95% confidence interval for the study? The margin of error is nothing .
Answer:
The margin of error is 0.0206 = 2.06 percentage points.
The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 1900, \pi = 0.7[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.7*0.3}{1900}} = 0.0206[/tex]
The margin of error is 0.0206 = 2.06 percentage points.
The lower limit of this interval is:
[tex]\pi - M = 0.7 - 0.0206 = 0.6794[/tex]
The upper limit of this interval is:
[tex]\pi + M = 0.7 + 0.0206 = 0.7206[/tex]
The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.6794, 0.7206).
In a cookie jar, 1/5 of the cookies are chocolate chip and 1/2 or the rest a peanut butter. What fraction of all the cookies is peanut butter?
Answer:
If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5. Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.
hope it helps!!!!! :]
The sum of two numbers is 82. One number is 38 more than the other. Find the numbers.
Answer: 22, 60
Step-by-step explanation:
x+ x + 38 = 82
2x + 38 = 82
2x = 82 - 38
x = 44 / 2 = 22
Answer: 22, 60
Step-by-step explanation:
We can use system of equations to solve this. Let's use 1 for one number and y for the second number.
Equation 1
x+y=82
Equation 2
x+38=y
Since we know what y is, we can substitute it into the first equation.
x+(x+38)=82
x+x+38=82
2x+38=82
2x=44
x=22
Now that we know x, we cna plug it into any equaiton to find y.
(22)+38=y
y=60
A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were: At the .02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Answer:
We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
Step-by-step explanation:
The complete question is: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:
Number sampled: 1,000 (republican) , 800 (democrats)
Number in favor: 200 (republican) , 168 (democrats)
At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Let [tex]p_1[/tex] = proportion of Republicans in favor of lowering the standards.
[tex]p_2[/tex] = proportion of Democrats in favor of lowering the standards.
SO, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1 \geq p_2[/tex] {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1 < p_2[/tex] {means that there is a larger proportion of Democrats in favor of lowering the standards}
The test statistics that would be used here Two-sample z-test for proportions;
T.S. = [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] ~ N(0,1)
where, [tex]\hat p_1[/tex] = sample proportion of Republicans in favor of lowering the standards = [tex]\frac{200}{1000}[/tex] = 0.20
[tex]\hat p_2[/tex] = sample proportion of Democrats in favor of lowering the standards = [tex]\frac{168}{800}[/tex] = 0.21
[tex]n_1[/tex] = sample of Republicans = 1000
[tex]n_2[/tex] = sample of Democrats = 800
So, the test statistics = [tex]\frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }[/tex]
= -0.52
The value of z test statistics is -0.52.
Now, P-value of the test statistics is given by the following formula;
P-value = P(Z < -0.52) = 1 - P(Z [tex]\leq[/tex] 0.52)
= 1 - 0.6985 = 0.3015
Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.
Since our test statistic is more than the critical value of z as -0.52 > -2.054, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on
the wall of the rod is 45 cm from the wall and 15 cm from the light.
Answer:
48 cm
Step-by-step explanation:
Given:
Distance of rod from the wall = 45 cm
Distance of rod from the light = 15 cm
Length of rod = 12 cm
We can see that <DAM and <BAF are equal
Also, <DMA and <BFM are equal because they are corresponding angles
To find the length of the shadow, let's take the equation
[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]
Where.:
DM = ½ of length of the rod = ½*12 = 6
A.F = 15 + 45 = 60 cm
AM = 15 cm
Therefore,
[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]
[tex]= \frac{6}{BF} = \frac{15}{60} [/tex]
Cross multiplying, we have:
15 * B.F = 60 * 6
15 * B.F = 360
[tex]BF = \frac{360}{15}[/tex]
BF = 24 cm
The shadow on the wall =
2 * BF
= 2 * 24
= 48 cm
The shadow on the wall is 48 cm
How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
Answer:
it takes approximately 11 years and 3 months (11.4 years) for Belinda's investments to double.
Step-by-step explanation:
To calculate the time it takes for Belinda's money to double, we will use the simple interest formula as shown below:
Simple interest = P × R × T
where:
P = principal = $800
R = Rate in decimal = 8.75% = 0.0875
T = time = ???
simple interest = $800 ( her money doubles)
∴ 800 = 800 × 0.0875 × t
800 = 70 × t
∴ t = 800 ÷ 70 = 11.4 years. (11 years and 3 months)
Therefore after approximately 11 years and 3 months, Belinda's investments doubles
Answer:
8.23
how long would it take belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
Question 4
Evelyn packed this box with 1-inch cubes. Which expression does NOT
show how Evelyn can find the volume of the box?
6 x 6
2 x 3 x 6
height
2 + 3 + 6
6 + 6 + 6 + 6 + 6 + 6
width
length
Answer:
432
Step-by-step explanation:
Volume is equal to the length*width*height that is 6*6*2*3*6(basically multiply them all in simple terms)=432
Answer:
2 + 3+ 6
Step-by-step explanation:
You are supposed to multiply the length, width, and height not add it.
Please answer this correctly
Answer: The first one
Step-by-step explanation:
If you take a look at the light pink squares, you can count three on the top and three on the bottom. Therefore, when looking at it from the top, you’ll see the first one.
I hope you found my answer helpful! If you did, give it a five-star rating and a thanks! I would really appreciate it!
Even a brainliest if you feel like it! ;)
Answer:
the first image will b da answer
Step-by-step explanation:
happy to help ya :)
What is 1/3 divided by 3
Answer:
1/9 or 0.11
Step-by-step explanation:
1/3 divided by 3
= 1/3 / 3
= 1/3 / 3/1
= 1/3 x 1/3 (the rule is a/b / c/d = a/b * d/c)
= 1/9 or 0.11(1 continues repeating for ever so just make it 0.11)
Which of these leaders would most likely have
spoken these words?
Tecumseh
Thomas Jefferson
Andrew Jackson
Answer:andrew Jackson
Answer:
D
Step-by-step explanation:
thank the person above ☝☝☝
Edge 2021
You earn $15 every week .at this rate , how much will you earn in 5 weeks
Answer:
If you earn $15 every week then you will have earned $75 by the end of 5 weeks.
Step-by-step explanation:
If $15 is 1 week,
and you need to find how much money after 5 weeks,
you multiply by the same number on both sides
1 = 15
1*5 = 15*5
5 = 75
So after 5 weeks you get $75
the ratio of bicycles to to cars is 2:7 respectively. If the total number of vehicles are 63, how many bicycles are there?
Answer:
49 cars and 14 bikes
Step-by-step explanation:
we know [tex]7^{2}[/tex] is 49. 7 × 7 = 49
to match that, 7 × 2 = 14
14 plus 49 is 63
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions of such a rectangle with the greatest possible area?
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height [tex]= \frac{10}{4}[/tex]
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
[tex]A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}[/tex]
For, A to be greatest ,
[tex]\frac{dA}{dh} =0 = 10h-4h^{3}[/tex]
⇒ [tex]h[10-4h^{2} ]=0[/tex]
⇒ [tex]h^{2} =\frac{10}{4} {Since, h≠ 0}[/tex]
⇒ [tex]h = ±\frac{\sqrt{10} }{2}[/tex]
Therefore, from equation (3), k = 5 - h²
⇒ [tex]k=5-\frac{10}{4} =\frac{10}{4}[/tex]
Hence,
Width = 2h =√10 and
Height = [tex]k =\frac{10}{4}.[/tex]
help asap !! will get branliest.
Answer:
0.8
Step-by-step explanation:
(2 x 10^-4)
= 0.0002
(4x10^3)
= 4000
0.0002 x 4000 = 0.8
What is sin(40)?
O A. 0.40
O B. 0.77
O C. 0.64
O D. 0.83
Answer:
The answer is C.
Step-by-step explanation:
If you type into the calculator for sin(40), you will get approximately 0.64 if you round it to 2 decimal places :
[tex] \sin(40) = 0.6427876097[/tex]
[tex] \sin(40) ≈ 0.64[/tex]
Help people like mE out
Solution,
radius=10 cm
Circumference of circle=2 pi r
=2*3.142*10
=62.84 cm
hope it helps
Good luck on your assignment
What’s the correct answer for this?
Answer:
20
Step-by-step explanation:
Since chord AB and DE are at equal length from the centre, they are equal in length.
AB = DE
3x-7 = 5(x-5)
3x-7 = 5x-25
-7+25 = 5x -3x
18 = 2x
Dividing both side by 2
x = 9
Now
AB = 3(9)-7
= 27 -7
= 20
A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone is eligible?
Answer:
90 different ways
Step-by-step explanation:
We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.
To solve this problem, we need to calculate a permutation of 10 choose 2.
The formula for a permutation of n choose p is:
[tex]P(n, p) = n! / (n - p)![/tex]
So we have:
[tex]P(10, 2) = 10! / (10 - 2)![/tex]
[tex]P(10, 2) = 10! / 8![/tex]
[tex]P(10, 2) = 10*9 = 90[/tex]
So there are 90 different ways of choosing a president and a vice-president.
The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.In what range would you expect to find the middle 68% of most pregnancies
Answer:
The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
Step-by-step explanation:
We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.
Let X = lengths of pregnancies in a small rural village
SO, X ~ Normal([tex]\mu=262,\sigma^{2} = 17^{2}[/tex])
Here, [tex]\mu[/tex] = population mean = 262 days
[tex]\sigma[/tex] = standard deviation = 17 days
Now, the 68-95-99.7 rule states that;
68% of the data values lies within one standard deviation points.95% of the data values lies within two standard deviation points.99.7% of the data values lies within three standard deviation points.So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;
[ [tex]\mu -\sigma[/tex] , [tex]\mu + \sigma[/tex] ] = [262 - 17 , 262 + 17]
= [245 days , 279 days]
Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
You bought a sachet water machine from Indie Inc. The cost of the machine was GH¢35,000. At that time, you asked for the payment to be deferred, and a contract was written. Under the contract, you could delay paying for the sachet water machine if you purchased the material for packaging the water from Indie Inc. You will then pay for the machine in a lump sum at the end of 2 years, with interest at a rate of 2% per quarter-year. According to the contract, if you ceased buying the packaging material from Indie Inc. at any time prior to 2 years, the full payment due at the end of 2 years would automatically become due. One year later, you decided to buy the packaging material elsewhere and stopped buying from Indie Inc., whereupon Indie Inc., per the contract terms, asked for the full payment that is due at the end of 2 years to be paid immediately. You were unhappy about this, so Indie Inc. offered as an alternative to accept the GH¢35,000 with interest at 10% per semiannual period for the 12 months that you had been buying the packaging material from Indie Inc. Which of the alternatives should you accept? Explain.
Answer: The answer has been attached below
Step-by-step explanation:
From the attached calculation, the amount payable in the first payment is cheaper than the amount payable for the second payment.
If both alternatives were presented to me by Indie incorporation after purchasing a sachet water machine from them, I'll choose the first method of payment.
Kindly check the attached file for the calculation which prompted the decision taken.
A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call. Which numerical expression can be used to find the cost of a 20-minute phone call? How much does the 20-minute phone call cost?HURRY FIRST ONE GETS BRAINLIEST
Answer:
$0.45+19*$0.35= $7.1
Step-by-step explanation:
first minute= $0.45
subsequent minutes= $0.35
cost per 20 min= $0.45+19*$0.35= $7.1
cost per x min= 0.45+(x-1)*0.35= 0.35x +0.10
Answer:
Step-by✔ 0.45 + 0.35(19)
✔ $7.10
y = -x2 + 6x - 5 whats
the axis of symmetry.
Answer:
x=3
Step-by-step explanation:
graphed on desmos.com
With a cupon you can buy up to 6 medium pizzas at 8$ each. What is the domain of this graph ?
Answer:
x=1, 2, 3, 4, 5, 6
Step-by-step explanation:
Let's use logic. You can not have negative pizzas, and I assume you can not have decimals of pizzas.
That means that with the coupon you can only buy whole pizzas up to 6.
So the domain or x is1, 2, 3, 4, 5, 6
In 2011, the industries with the most complaints to the Better Business Bureau were banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships (USA Today, April 16, 2012), The results for a sample of 200 complaints are contained in the DATAfile named B8B. Click on the datafile logo to reference the data. a. Construct a frequency distribution for the number of complaints by industry, Category Bank 26 Cable Car Cell 42 60 Collection 28 Total b. Using α = .01, conduct a hypothesis test to determine if the probability of a complaint is the same for the five industries. The test-statistic is p-value- What is your conclusion?c. Which industry has the most complaints?
Answer:
Step-by-step explanation:
Hello!
The variable of study is
X: number of complaints per industry (Categorized: Bank, Cable, Car, Cell, Collection
Considering this is a categorical variable, and the hypothesis is that all categories have the same probability, you have to apply a Chi-Square Goodness to Fit test.
Observed frequencies per category
1) Bank: 26
2) Cable: 44
3) Car: 42
4) Cell: 60
5) Collection: 28
Total= 200
Statistical hypotheses:
H₀: P₁=P₂=P₃=P₄=P₅=1/5
H₁: At least one of the proposed proportions is different.
α: 0.01
[tex]X^2= sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex]
For this test the formula for the expected frequencies is:
[tex]E_i= n * P_i[/tex]
So the expected values for each category is:
[tex]E_1= n * P_1= 200*1/5= 40[/tex]
[tex]E_2= n * P_2= 200*1/5= 40[/tex]
[tex]E_3= n * P_3= 200*1/5= 40[/tex]
[tex]E_4= n * P_4= 200*1/5= 40[/tex]
[tex]E_5= n * P_5= 200*1/5= 40[/tex]
[tex]X^2_{H_0}= \frac{(26-40)^2}{40} +\frac{(44-40)^2}{40} +\frac{(42-40)^2}{40} +\frac{(60-40)^2}{40} +\frac{(28-40)^2}{40} = 11.5[/tex]
This test is one tailed and so is its p-value, under a Chi-square with 4 degrees of freedom p-value: 0.021484.
The p-value is less than the significance level so the decision is to reject the null hypothesis.
c. The industry with most complaints is the cellular phone providers
I hope this helps!
