The average speed for a family trip at 62 mph which equation models the distance traveled day and time in hours T
D=T +62
D =T -62
D =T/62
D =62T
Step-by-step explanation:
Last one is the correct answer .
Give brainliest please.
There are 51 women and 36 men in a school marching band. Find the ratio of women to men.
A bookstore carries 10 magazines. 20% of the magazines are women's magazines. How many women's magazines does the bookstore carry?
Answer:
2 magazines
Step-by-step explanation:
Thinking in terms of 20% of 100 being 20, this question is very similar, just take of the extra 0 on the end of 100, 20% of 10 would be 2 (the extra 0 gets taken off on the answer too).
The width of a rectangle is 8 feet and its length is 20 feet. Determine a rectangle that maintains the same ratio of side lengths for each given dimension.
Therefore , the solution of the given problem of ratio comes out to be side lengths for each dimension would be 16 feet broad and 40 feet long.
Ratio : What is it ?A collection of integers "a" but instead "b" that seem to be equal can be found using the straightforward algorithm "a / b," at which "b" may be larger than zero. A ratio is created by combining two variable ratios. The ratio would just be 1:1 if there were just one male and three women. There are 1/4 men and 3/4 ladies in the group. Parts might be a separation between objects, a number, or a specific volumetric proportion of a component.
Here,
Call this element "x" for short.
As a result, the new breadth will be 8x and the new length, 20x.
We want a rectangle with the same aspect ratio to be formed by these new measurements.
We can make up the following equation in order to determine the value of "x" that preserves this aspect ratio:
=> (width of new rectangle / length of new rectangle) =
=> (length of original rectangle / width of new rectangle (width of original rectangle)
=> (20x) / (8x) = 20 / 8
When we simplify this solution, we obtain:
=> 2.5 = 2.5
Given that this equation holds for any value of "x," we can select any value of "x" and still retain the same aspect ratio.
So a rectangle with the same ratio of side lengths for each dimension would be 16 feet broad and 40 feet long.
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The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Brand Bose Scullcandy Koss Phillips/O'Neill Denon JVC Price ($) 192 156 90 84 72 48 Score 78 78 60 60 42 a. Does the t test indicate a significant relationship between price and the overall score? The test t-conclusion at ?-.05 t1.68 (to 2 decimal places.)
Based on the given consume reports data, the t value is 2.228.
T - value:
In statistics, t - value measures the size of the difference relative to the variation in your sample data.
Given,
Here we have the tale with price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports.
Now, we need to find the t test indicate a significant relationship between price and the overall score.
While we looking into the question, the values in this one are,
n = 6
And table of 6 stereo headphone price and overall score are given.
Based on the given details we have calculated the frequency table and the table is attached below.
Based on the resulting table we have identified that the value of t is 2.228.
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omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
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How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
mich rectangular equation represents the parametric equations r =,; and y = 21?
y = 4x2
y = 2x2
y=√2
y=285
Answer:
y = 2x^2
Step-by-step explanation:
Solve t first, and then you would have to solve r.
x = t^1/2
y = 2t
The rectangular equation represents the parametric equation y=2x².
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
According to the task content;
It follows that the parametric equations given are; x =t^(1/2) and y = 2t.
Since x =t^(1/2), then it follows that; x² = t.
Therefore, by substituting x² for t in y= 2t, then we have; y = 2x².
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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please help me find CE. I am stressing over this.
We are asked to find the arc CE in the given figure.
First, we need to find arc mBC then we can easily find arc CE
As you can see from the figure, ∠BAC is formed by two secants intersecting outside of circle.
The intercepted arcs are mDE (major arc) and mBC (minor arc)
So, we can use the property of "angle Formed by Two Secants" given by
\(\angle BAC=\frac{1}{2}(m\bar{DE}-m\bar{BC)}\)Where
∠BAC = 20°
mDE = 100°
Let us solve the above equation for mBC
\(\begin{gathered} \angle BAC=\frac{1}{2}(m\bar{DE}-m\bar{BC)} \\ 20\degree=\frac{1}{2}(100\degree-m\bar{BC)} \\ 2\cdot20\degree=100\degree-m\bar{BC} \\ 40\degree=100\degree-m\bar{BC} \\ m\bar{BC}=100\degree-40\degree \\ m\bar{BC}=60\degree \end{gathered}\)Now we can find the arc CE
\(\begin{gathered} m\bar{BC}+m\bar{BD}+m\bar{DE}+\bar{mCE}=360\degree \\ 60\degree+100\degree+100\degree+\bar{mCE}=360\degree \\ 260\degree+\bar{mCE}=360\degree \\ \bar{mCE}=360\degree-260\degree \\ \bar{mCE}=100\degree \end{gathered}\)Therefore, the arc CE is 100°
Six friends each use a $2.00 off coupon to buy themselves a movie ticket. They spend a total of 42. What is the price of one movie ticket without the coupon
Answer:
5
Step-by-step explanation:
you would do 42 divided by 7 which is 6 then subtract 2 from 7 and you would get 5
Which expression is always equivalent to sin x when 0° < x < 90°?
(1) cos (90°- x)
(3) cos (2x)
(2) cos (45° - x)
(4) cos x
The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1
To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.
Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.
Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.
On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.
Option 1 is correct.
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Huilan is 13 years younger than Thomas. The sum of their ages is 33. What is Thomas's age?
Answer:
Thomas is 20 years old
Step-by-step explanation:
33 - 13 = 20
what is 95.85 estimated to
Answer:
96
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
95.85≅96, because 8>5.
reduce 2 hours 15 minutes 11 seconds to seconds
Answer:
8,111 Seconds
Step-by-step explanation:
Which numbers are the least to the greatest?
0.9
0.35
11/100
7/10
0.6
0.21
Answer:
0.9, 0.6 7/10, 11/100, 0.21, 0.35
Step-by-step explanation:
Find the critical value
χ2R
corresponding to a sample size of 5 and a confidence level of 99.0 percent
The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.
How to find the critical value ?The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.
The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:
= 5 - 1
= 4
The level of significance would be:
= 1 - 99. 0 %
= 0. 01
The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.
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4/5 + 3 1/10
Please answer quick (◍•ᴗ•◍)❤
Answer:
3 9/10
Step-by-step explanation:
Find the common factor
8/10+3 1/10
3 9/10
The table represents a linear function. Find the missing values to complete the table.
A) x = 1, y=17/3
B) x= 1, y = 21/3
C) x = 5, y = 17/3
D) x = 5, y = 21/3
The value of missing x = 5
The value of missing y = 17 / 3
How to find the Slope ?The standard line equation, y = mx + b, or the slope formula, m = (y2 - y1)/(x2 - x1), can both be used to find the slope, m.
According to the given information
Let two points be \((x_{1} , y_{1} )\) and \((x_{2} , y_{2} )\) are ( 3 , 8 ) and ( 6 , 15 )
Slope of the two points = \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)
= \(\frac{15-8}{6-3}\)
= 7 / 3
Let the equation passing through points ( 3 , 8 ) be
\(( y - y_{1}) = m(x - x_{1})\)
y - 8 = 7/3( x - 3 )
3y - 24 = 7x - 21
3y = 7x - 21 + 24
3y = 7x + 3
When x = 2
3y = 14 + 3
y = 17 / 3
When y = 38/5
114/3 = 7x + 3
7x = 114/3 - 3
21x = 114 - 9
x = 5
So
The value of missing x = 5
The value of missing y = 17 / 3
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An online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person. The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered. The simulation is shown in the following histogram.Based on the simulation, what is the probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered?
The probability that at most 2 of the next 10 callers have to wait more than 8 minutes is the sum of the probabilities of 0, 1, or 2 callers having to wait for more than 8 minutes which is 0.810
The probability that at most 2 of the next 10 callers having to wait can be defined using the expression :
P(X ≤ 2) = P(0) + P(1) + P(2)
Using the individual probabilities given by the histogram attached :
P(X ≤ 2) = 0.181 + 0.345 + 0.284
P(X ≤ 2) = 0.810
Therefore, the probability that at most 2 callers have to wait more than 8 minutes is 0.810
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Mackenzie is working two summer jobs, washing cars and landscaping. She must
work at least 17 hours altogether between both jobs in a given week. Write an
inequality that would represent the possible values for the number of hours washing
cars, w, and the number of hours landscaping, 1, that Mackenzie can work in a given
week.
please helpp!!!!
The inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours landscaping, is
w + l ≥ 17.
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
Given:
Mackenzie is working two summer jobs, washing cars and landscaping. She must work at least 17 hours altogether between both jobs in a given week.
Total number of hours is w + l and it should be at least 17 hours, (equal to 17 or greater).
We can set inequality as:
w + l ≥ 17
Hence, the inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours landscaping, is w + l ≥ 17.
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Solve for p.
Y=1/7pk
P=?
Solve for all missing zeros
Please help 20 points!!!
Answer:
The answer is z= 1,-1+i\(\sqrt{6}\), -1-i \(\sqrt{6}\)
Step-by-step explanation:
pls help asap
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute
Please help (look at the picture)
the product of two rational numbers is -12 if one of the number is -8 find the other
Answer:
The other number is \(\frac{4}{3}\)
Step-by-step explanation:
The product of two rational numbers, x and -8, is -12. This means that:
\(-8x = -12\)
The other number is x, which we find solving the equation. So
\(8x = 12\)
\(x = \frac{12}{8} = \frac{4}{3}\)
The other number is \(\frac{4}{3}\)
Choose the number that belongs to the set described
Answer:
Natural numbers,integers, rational numbers, irrational numbers.
1. 40% of 푥 is 35. a. Write an equation that shows the relationship of 40%, 푥, and 35. b. Use your equation to find 푥. Show your reasoning.
Answer:
7876089
Step-by-step explanation:
PLEASE ANSWER THIS
ASAP!
Answer:
30 and 6
Step-by-step explanation:
SOMEONE PLEASE GIVE ANSWERS TO THE FOLLOWING QUESTIONS (dont say figure it out on your own to please) IN GIVING BRAINIEST!!
Okay so 16 is 2.3 and 17 is 0.0492 18 is 0.4 19 is 420 20 is 0.605 the last one is 6