Answer:
28 feet
Step-by-step explanation:
area of a square = side times side; the sides are equal
50 = side times side or 50 = side^2
sqroot of 50 = sqroot of side^2
7 feet is about the size of the side of the square so using that information..
2 length + 2 width or 4 side
4 times 7 = 28
the perimeter is 28 feet
Read and help plssssss
Answer:
4 x (4 + 3)
Step-by-step explanation:
This is 4 x (4 + 3) = 4 x 7 = 28
and this is 16 + 12 as well
hope this helps
An experiment consists of dealing 7 cards from a standard deck of 52 playing cards. What is the probability of being dealt exactly 4 clubs and 3 spades?
Answer: 0.00153
Step-by-step explanation:
Given: An experiment consists of dealing 7 cards from a standard deck of 52 playing cards.
Number of ways of dealing 7 cards from 52 cards = [tex]^{52}C_7[/tex]
Since there are 13 clubs and 13 spades.
Number of ways of getting exactly 4 clubs and 3 spades=[tex]^{13}C_4\times\ ^{13}C_3[/tex]
Now, the probability of being dealt exactly 4 clubs and 3 spades
[tex]=\dfrac{^{13}C_4\times\ ^{13}C_3}{^{52}C_7}\\\\\\=\dfrac{{\dfrac{13!}{4!(9!)}\times\dfrac{13!}{3!10!}}}{\dfrac{52!}{7!45!}}\\\\=\dfrac{715\times286}{133784560}\\\\=0.00152850224271\approx0.00153[/tex]
Hence, the probability of being dealt exactly 4 clubs and 3 spades = 0.00153
There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possible committees can be formed that do not include Mark?
Answer:
84
Step-by-step explanation:
The baking club has 10 employees in total including Mark. When Mark is excluded there will be 9 employees who can form the executive committees.
The number of people who can form each committee are 3. To find the possible number of committees we use statistic computation technique. 9C3 we get 84 possible techniques.
How many methods are there to solve quadratic equations?
Answer:
The correct snswer is
There are three basic methods for solving quadratic equations:factoring, using the quadratic formula, completing the square.
Step-by-step explanation:
hope this works out!!!
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house? centimeters How many years passed from the time Vlad moved in until the tree was 357 centimeters tall? years
Answer:
The tree was 175 centimeters tall when Vlad moved into the house.
7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.
Step-by-step explanation:
The height of the tree, in centimeters, in t years after Vlad moved into the house is given by an equation in the following format:
[tex]H(t) = H(0) + at[/tex]
In which H(0) is the height of the tree when Vlad moved into the house and a is the yearly increase.
He measured it once a year and found that it grew by 26 centimeters each year.
This means that [tex]a = 26[/tex]
So
[tex]H(t) = H(0) + 26t[/tex]
4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house?
This means that when t = 4.5, H(t) = 292. We use this to find H(0).
[tex]H(t) = H(0) + 26t[/tex]
[tex]292 = H(0) + 26*4.5[/tex]
[tex]H(0) = 292 - 26*4.5[/tex]
[tex]H(0) = 175[/tex]
The tree was 175 centimeters tall when Vlad moved into the house.
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
This is t for which H(t) = 357. So
[tex]H(t) = H(0) + 26t[/tex]
[tex]H(t) = 175 + 26t[/tex]
[tex]357 = 175 + 26t[/tex]
[tex]26t = 182[/tex]
[tex]t = \frac{182}{26}[/tex]
[tex]t = 7[/tex]
7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.
State the domain and range of the following function. {(6,-8), (9,3), (-3,5), (1,-6), (5,7)}
Answer:
Domain { -3,1,5,6,9}
Range { -8,-6,3,5,7}
Step-by-step explanation:
The domain is the inputs
Domain { 6,9,-3,1,5}
We normally put them in order from smallest to largest
Domain { -3,1,5,6,9}
The range is the outputs
Range { -8,-6,3,5,7}
The domain is the set of all x-coordinates.
So here, the domain is {6, 9, -3, 1, 5} which we
can write in ascending order as {-3, 1, 5, 6, 9}.
Note that the domain is usually written in ascending order.
In other words, from least to greatest.
Next, the range is the set of all y-coordinates.
So here, the range is {-8, 3, 5, -6, 7} which we
can write in ascending order as {-8, -6, 3, 5, 7}.
Like the domain, the range is usually written in ascending order.
is a parallelogram sometimes always or never a trapezoid
yes
Step-by-step explanation:
parallelogram are quadrilaterals with two sets of parallel sides. since square must be quadrilaterals with two sets of parallel sides ,then all squares are parallelogram ,a trapezoid is quadrilateral.
"Tegan is trying to decide if a coin is fair. She flips it 100 times and gets 63 heads. Please explain why it might make sense to view 63 heads as enough evidence to conclude the coin is unfair."
Answer:
Should be a 50/50 chance
Step-by-step explanation:
When you flip a coin there are 2 possible chances, heads or tails. That means that out of 100 there should a 50/50 chance to get both. By Tegan getting 63 heads it show how the mentailty that it should be a perfect 50/50 chnace to get heads is not real and therefore not fair.
(but in real life this is what happens. Its not fair).
The Mathalot Company makes and sells textbooks. They have one linear function that represents the cost of producing textbooks and another linear function that models how much income they get from those textbooks. Describe the key features that would determine if these linear functions ever intercepted. (10 points)
Please answer this correctly
Answer:
4/7
Step-by-step explanation:
even: 2, 4, 6
less than 2: 1
total number of cards of interest: 3 + 1 = 4
total number of cards: 7
P(even or less than 2) = 4/7
Answer:
4/7
Step-by-step explanation:
Let's find how many numbers are even: 2, 4, and 6. That's 3 even numbers.
How many numbers are less than 2? 1. There's only 1 number less than 2.
There is a total of 7 cards. 3 out of 7 of them are even, so our probability of choosing an even number is 3/7. 1 out of 7 of them is less than 2, so our probability of choosing a number less than 2 is 1/7.
Now, because the operation is "or", we add these two fractions:
3/7 + 1/7 = 4/7
The answer is thus 4/7.
~ an aesthetics lover
The dollar value v(t) of a certain car model that is tyears old is given by the following
exponential function:
v(t) = 26,956(0.96)^t
What is the initial cost of the car, and what will the car be worth after 6 years? Round to
the nearest whole number.
initial cost =
value after 6 years =
Please helpppp
Answer: initial cost 26956.00 USD
value after 6 years approx= 21100.00 USD
Step-by-step explanation:
The initial cost is the price of new car , it means t ( time)=0
Substitute t by 0 in our equation and get the initial car's value
v(0)= 26956*0.96^0=26956.00 USD
The value after 6 years: substitute t by 6
v(6)=26956*0.96^6=21100.00 USD
What is the correct solution to -3x > 12?
Answer:
x < -4
Step-by-step explanation:
-3x > 12
Divide both parts with -3.
-3x/-3 > 12/-3
x < -12/3
x < -4
It would be any number bigger then the number 4, so try 5.
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. He will need only ___hours if he cycle at 18 km/h. Express your answer as a common fraction.
Answer:
1/6 hours
Step-by-step explanation:
It takes leo 15 minutes = 15/60 = 0.25 hours to circle to school with speed of
12km/hr .
Distance covered = speed*Time.
Distance covered = 12*0.25
Distance covered= 3 km
So the distance to be covered each time is 3km.
If speed increase to 18 km/he
Time taken = distance/speed
Time taken = 3/18
Time= 1/6 hour
Or 1/6 * 60 = 60/6 = 10 minutes
Which equation represents a line that passes through (2,-2) and has a slope of 3?
y-2 = 3(x +
y – 3 = 2(x + ?)
y +
= 3(x - 2)
y +
= 2(x - 3)
A case-control study was conducted to evaluate the relationship between artificial sweeteners and bladder cancer. 3,000 cases and 3,000 controls were enrolled in the study. Amongst the cases, 1,293 had used artificial sweeteners in the past, while 1,707 had never used artificial sweeteners. Among the controls, 855 had used sweeteners and 2,145 had not. Calculate the odds of being a case.
Answer:
Odds of being a case = 1.90
Step-by-step explanation:
Relationship between artificial sweeteners and bladder cancer.
Amongst the cases, 1,293 had used artificial sweeteners in the past, while 1,707 had never used artificial sweeteners.
used AS = 1,293
Not used AS = 1,707
Among the controls, 855 had used sweeteners and 2,145 had not.
We can prepare a table from the above information,
Cases Controls
used AS a = 1,293 b = 855
Not used AS c = 1,707 d = 2,145
The odds of being a case may be calculated as
[tex]$ odds = \frac{a \times d}{b \times c} $[/tex]
[tex]$ odds = \frac{1,293 \times 2,145}{855 \times 1,707} $[/tex]
[tex]odds = 1.90[/tex]
Therefore, we can conclude that a person having bladder cancer used artificial sweeteners was 1.90 times the odds that a person without bladder cancer used artificial sweeteners .
Simplify the following expression:$$(\sqrt{6} + \sqrt{24})^2$$
Answer:
54
Step-by-step explanation:
[tex](\sqrt{6} + \sqrt{24})^2=(\sqrt{6}+2\sqrt{6})^2\\\\=(3\sqrt{6})^2=(3^2)(6)=\boxed{54}[/tex]
The rugs in an office are shaped like parallelograms. Each has a base of 18 inches and a height of 10 inches. What is the area of the rug
Answer:
180 in²
Step-by-step explanation:
The area of a parallelogram is base times height.
b × h
18 × 10
= 180
The area of the rug is 180 in².
The scientist performs additional analyses and observes that the number of major earthquakes does appear to be decreasing but wonders whether the relationship is statistically significant. Based on the partial regression output below and a 5% significance level, is the year statistically significant in determining the number of earthquakes above magnitude 7.0?Dependent Variable: Earthquakes above Magnitude 7.0 Coefficients Standard t Stat P-value Lower 95% Upper 95% ErrorIntercept 64.67 38.08 4.32 89.22 240.12Year -0.07 0.02 -3.82 -0.11 -0.04
Answer:
Step-by-step explanation:
Hello!
A regression model was determined in order to predict the number of earthquakes above magnitude 7.0 regarding the year.
^Y= 164.67 - 0.07Xi
Y: earthquake above magnitude 7.0
X: year
The researcher wants to test the claim that the regression is statistically significant, i.e. if the year is a good predictor of the number of earthquakes with magnitude above 7.0 If he is correct, you'd expect the slope to be different from zero: β ≠ 0, if the claim is not correct, then the slope will be equal to zero: β = 0
The hypotheses are:
H₀: β = 0
H₁: β ≠ 0
α: 0.05
The statistic for this test is a student's t: [tex]t= \frac{b - \beta }{Sb} ~~t_{n-2}[/tex]
The calculated value is in the regression output [tex]t_{H_0}= -3.82[/tex]
This test is two-tailed, meaning that the rejection region is divided in two and you'll reject the null hypothesis to small values of t or to high values of t, the p-value for this test will also be divided in two.
The p-value is the probability of obtaining a value as extreme as the one calculated under the null hypothesis:
p-value: [tex]P(t_{n-2}\leq -3.82) + P(t_{n-2}\geq 3.82)[/tex]
As you can see to calculate it you need the information of the sample size to determine the degrees of freedom of the distribution.
If you want to use the rejection region approach, the sample size is also needed to determine the critical values.
But since this test is two tailed at α: 0.05 and there was a confidence interval with confidence level 0.95 (which is complementary to the level of significance) you can use it to decide whether to reject the null hypothesis.
Using the CI, the decision rule is as follows:
If the CI includes the "zero", do not reject the null hypothesis.
If the CI doesn't include the "zero", reject the null hypothesis.
The calculated interval for the slope is: [-0.11; -0.04]
As you can see, both limits of the interval are negative and do not include the zero, so the decision is to reject the null hypothesis.
At a 5% significance level, you can conclude that the relationship between the year and the number of earthquakes above magnitude 7.0 is statistically significant.
I hope this helps!
(full output in attachment)
Which graph shows a function and its inverse?
Answer:
D.
Step-by-step explanation:
The graph of a function and its inverse are symmetric with respect with the line y = x.
On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.
You will see this is true only for choice D.
A group of Construction students must choose their specialist options from the following list: Bricklaying, Damp-proofing, Drainage, Flooring, Joinery, Plastering, Roofing. Each student must choose three options. The available options may be combined with each other in any way, with the exception of the restrictions that Damp-proofing and Drainage together may not be combined with Bricklaying or Plastering because of timetable constraints, and that students choosing Joinery must also choose Flooring.
How many possible combinations including Drainage could the students choose from?
A) 7
B) 8
C) 9
D) 10
E) 11
Answer:
9
Step-by-step explanation:
Since drainage is to be included in the possible combinations, we can therefore determined the number from the remaining 6 options which can be in combination with drainage
(6 2) = 15 pairs.
Now there are restrictions placed, where we have no pairing of damp roofing with bricklaying or plastering. This removes two pairs, so we are left with 13pairs.
Another restrictions is that students choosing Joinery must also choose Flooring. This gives the three options: joinery, flooring and drained with no pairing with the remaining four pairs this removing another four pair.
So we are left with 9 pairs in total.
Suppose a polling agency reported that 44.4% of registered voters were in favor of raising income taxes to pay down the national debt. The agency states that results are based on telephone interviews with a random sample of 1049 registered voters. Suppose the agency states the margin of error for 95% confidence is 3.0%. Determine and interpret the confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.
Answer:
95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.
(0.414 ,0.474)
Step-by-step explanation:
Step(i):-
Given sample proportion
p⁻ = 44.4 % = 0.444
Random sample size 'n' = 1049
Given margin of error for 95% confidence level = 3 % = 0.03
Step(ii):-
95% of confidence interval for the proportion is determined by
[tex](p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })[/tex]
we know that
Margin of error for 95% confidence level is determined by
[tex]M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }[/tex]
Step(iii):-
Now
95% of confidence interval for the proportion is determined by
[tex](p^{-} - M.E, p^{-} + M.E)[/tex]
Given Margin of error
M.E = 0.03
Now 95% of confidence interval for the proportion
[tex](0.444 - 0.03, 0.444+ 0.03)[/tex]
(0.414 ,0.474)
Conclusion:-
95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.
(0.414 ,0.474)
Someone help me please
What the sum for (50+11)*(8p-4)
Answer:
488p-244
Step-by-step explanation:
=> (50+11)*(8p-4)
=> 61(8p-4)
Expanding by distributive property.
=> 488p-244
Bailey and Jade both play basketball. The table and graph show the total number of games that each of their teams won over six weeks. A coordinate plane labeled Jade's Team. The x-axis is labeled Weeks and the y-axis is labeled Wins. Points plotted are (1, 0), (2, 1), (3, 3), (4, 5), (5, 6), and (6, 7). Bailey’s Team Number of weeks Wins 1 2 2 2 3 3 4 4 5 4 6 6 After which week had the two teams won the same number of games? week 1 week 2 week 3 week 5
Answer:
Week 3
Step-by-step explanation:
Week one was 1,0
Week two was 2,1
Week three was 3,3 which is the same number the teams have won
Therefore the answer is week 3
Hope this helps
Estimate the solution to the system of equations.
Answer:
It's A
Step-by-step explanation:
Trust me i did it in geogebra
What is the first step when solving the equation below for x?
4
0.2
= 1.9
Add 1.9 to both sides of the equation.
Divide each side of the equation by 4.
Add 0.2 to both sides of the equation.
Subtract 0.2 from both sides of the equation.
Step-by-step explanation:
4x + 0.2=0.9
transposing 0.2 to RHS
=> 4x =0.9-0.2 => 4x=0.7
transposing 4 to RHS
=> x=0.7÷4
=> x=0.175
if it helps plzz mark it as brainliest
Answer: add 0.2
Step-by-step-explanation:
Not sure how to solve this
Answer:
x y
8 -2
0 0
12 3
Step-by-step explanation:
The equation you are given is:
[tex] y = \dfrac{1}{4}x [/tex]
To find y, replace the given x-value in the table with x in the equation, and solve for y.
When x = -8, you get, replacing x with -8:
[tex] y = \dfrac{1}{4}(-8) [/tex]
Simplify:
[tex] y = -2 [/tex]
This gives you the line in the table:
-8 -2
When x = 0, you get, replacing x with 0:
[tex] y = \dfrac{1}{4}(0) [/tex]
Simplify:
[tex] y = 0 [/tex]
This gives you the line on the table:
0 0
To find x, replace the given y-value in the table with y in the equation, and solve for x.
When y = 3, you get, replacing y with 3:
[tex] 3 = \dfrac{1}{4}x [/tex]
Simplify:
[tex] 3 \times 4 = \dfrac{1}{4}x \times 4 [/tex]
[tex] 12 = x [/tex]
This gives you the line in the table:
12 3
Can i have a teeny bit help? This is what i have so far.
Answer:
I feel like you are mistaken on the first question...
6 plus 27 equals 33.
33 equals 100 percent.
What is 6 over 33? 0,18.
What's 27 over 33? 0,82.
Therefore, 19 plus 12 equals 31.
19 divided by 31 equals 0,61.
12 over 31 equals 0,39.
You are mailing a package that weighs 5 pounds, and sending it first class. The post office charges $0.44 for the first ounce, and charges $0.20 for each additional ounce. How much is the total cost to mail this package?
Step-by-step explanation:
If TU = 6 units, what must be true? SU + UT = RT RT + TU = RS RS + SU = RU TU + US = RS
Answer:
Since RT = 12, TU = 6 and RS = 24, T and U are the midpoints of RS and TS respectively. This means that SU + UT = RT.
Answer:
su+ut=rt
Step-by-step explanation: