Answers
Answer:
a) 12 ft/s (12 feet per second is the rate at which she runs)
b) the tables is completed as follows:
for column 1: 12
for column 2: 24
for column 3: 36
for column 4: 48
Step-by-step explanation:
Notice that since she did 60 feet in 5 seconds, then her speed (which is defined as distance divided by the time it took to cover that distance) is: 60/5 feet/second = 12 ft/s
Now this means that for every second she runs, she covers 12 feet
Then in the first second running she covered 12 ft, after 2 seconds running, she covered 24 ft, after 3 seconds running, she covered 36 ft, after 4 seconds running, she covered 48 ft. And these values complete the requested table.
Related Questions
Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the best expression to estimate the quotient using front-end estimation? Negative 21 divided by 4 Negative 21 divided by 5 Negative 20 divided by 4 Negative 20 divided by 5
Answers
Answer:
-21/5 = -4.2
Step-by-step explanation:
-21.87 / 4.79 = -4.5657.....
So, the quotients is -4
Now, Let's see who's quotient is equal to think one:
-21/4 = -5.25
-21/5 = -4.2
-40/4 = -5
-20/5 = 4
Answer:
-21/5 = -4.2
Step-by-step explanation:
The world's largest university (by enrollment) is University A, followed by University B. If the enrollment in University A is 3.5 million more students than University B and their combined enrollment is 9.5 million students, find the enrollment for each university?
Answers
x + (x+3.5) = 9.5
2x +3.5 = 9.5
2x = 6
x = 3 million students at University B
x + 3.5 = 3 + 3.5 = 6.5 million students at University A
What is an equation of the line that is parallel to y=3x-8 and passes through the point (4, -5)
Answers
Hi there! :)
Answer:
y = 3x - 17.
Step-by-step explanation:
To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:
A line parallel to y = 3x - 8 contains the same slope, or m = 3.
Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:
-5 = 3(4) + b
-5 = 12 + b
Simplify:
-5 - 12 = b
b = -17.
Rewrite the equation:
y = 3x - 17.
Dilate the line segment AB with endpoints A(–3,1) and B(4,–2) about the origin with a scale factor 3. Find the endpoints of the dilated line segment. Question 24 options: A′(–3,1), B′(12,–6) A′(0,4), B′(7,1) A′(–9,3), B′(4,–2) A′(–9,3), B′(12,–6)
Answers
Answer:
Step-by-step explanation:
To do the dilation, simply multiply each coordinate by the scale factor. That is
(-3,1)*3 = (-9,3) and (4,-2) * 3 = (12,-6). So the new points are A'(-9,3) and B'(12,-6)
pleaseeee helppppp meeeee pleaseeeeee
Answers
Answer:
(28/33+28 ) *100
Step-by-step explanation:
(28/33+28 ) *100
(28/61)*100
Answer:
it's 2
Step-by-step explanation:
I did it before
A group of students were asked to choose their favorite course. The results are shown in the two-way frequency table. Which of the following can be concluded from the joint and marginal frequencies of the table? Math is the most popular subject in the 10th grade. History is the least popular subject in the 9th grade. Science is more popular than math among 12th grade students. Students in the 11th grade like English more than students in the 12th grade. The overall favorite course is history.
A.) III and IV only
B.) II and V only
C.) I, III, and V
D.) II and IV only
Answers
The answer is C.) I, III, and V
The statement 1, 2, and 5 will be correct hence option (C) will be correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
In other words, a frequency table is a table in which we have some data and their frequency.
The frequency of an occurrence or a value is the number of times it happens.
In option (C)
1st statement;
Math is the most popular subject in the 10th grade.
In 10th grade, maths is 104 rest are less so it is correct.
3rd statement;
Science is more popular than math among 12th-grade students.
The number of science lovers in the 12th is 78
The number of maths lovers in 12th is 52
So it is also correct.
5th statement;
Overall favorite course is history.
A number of overall favorite courses is history = 403 which is higher than others hence it is also correct.
So option (C) is correct rest are incorrect.
To learn more about the frequency table
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What is the product?
Answers
Answer: A
Step-by-step explanation:
When multiplying matrices, find the sum of the product of the terms in the first row of the first matrix with the terms in the first column of the second matrix. Repeat for each row and column.
[tex]\left[\begin{array}{cc}a&c\\b&d\end{array}\right] \times \left[\begin{array}{cc}w&y\\x&z\end{array}\right]=\left[\begin{array}{cc}aw+cx&ay+cz\\bw+dx&by+dz\end{array}\right]\\\\\\\left[\begin{array}{cc}-3&4\\2&-5\end{array}\right]\times \left[\begin{array}{cc}3&-2\\1&0\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(3)+4(1)&-3(-2)+4(0)\\2(3)-5(1)&2(-2)-5(0)\end{array}\right]\\\\\\=\left[\begin{array}{cc}-5&6\\1&-4\end{array}\right][/tex]
What is the converse of r->(~q v p)
Answers
Answer:
[tex]r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r[/tex]
Step-by-step explanation:
In general, remember that the converse of [tex]a => b[/tex] is [tex]\neg b => \neg a[/tex] , therefore in this case [tex]a = r \ \ , b = \neg q \ \lor p[/tex]
so [tex]r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r[/tex]
A potato chip company makes potato chips in two flavors, Regular and Salt & Vinegar. Riley is a production manager for the company who is trying to ensure that each bag contains about the same number of chips, regardless of flavor. He collects two random samples of 10 bags of chips of each flavor and counts the number of chips in each bag. Assume that the population variances of the number of chips per bag for both flavors are equal and that the number of chips per bag for both flavors are normally distributed. Let the Regular chips be the first sample, and let the Salt & Vinegar chips be the second sample. Riley conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence that both flavors have the same number of chips in each bag. (a) H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test. (b) t≈1.44 , p-value is approximately 0.167 (c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply. Select all that apply:
Answers
Answer:
(a) H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.
Step-by-step explanation:
We formulate the
H0: μ1=μ2; null hypothesis that the two means are equal and alternate hypothesis that the two mean are not equal.
Ha:μ1≠μ2 Two tailed test
Test statistic used is
t= x1`-x2` / s√n as the variances are equal and sample size is same
T value for 9 degrees of freedom for two tailed test at α = 0.05 is 2.26
P- value for t test for 9 degrees of freedom is 0.125 from the table.
Hence only a is correct .
The letters G, E, N, I, D, S are placed in a bag. What is the probability that the letters are randomly pulled from the bag in the order that spells DESIGN?
Answers
Answer:
The probability of randomly pulling from the bag in the order that spells DESIGN = 1/720
= 0.001389 or 0.1389%
Step-by-step explanation:
The letters placed in a bag = 6
The different ways to choose six letters are a permutation without repetition
And permutation without repetition
= 6 x 5 x 4 x 3 x 2 x 1 = 720 ways
Therefore, the probability of randomly pulling from the bag in the order that spells DESIGN
= 1/720
= 0.001389 or 0.1389%
Probability is defined as the chance that the spelling DESIGN will be pulled from a bag containing the letters: G, E, N, I, D, S, which has 720 ways to choose the letters.
expand (x+2y)^2 plzzzzzzzz
Answers
(x + 2y) (x + 2y)
x^2 + 2xy + 2xy + 4y^2
= x^2 + 4xy + 4y^2
A train covers certain distance in two parts. Distance covered in first part is 200% more than the distance covered in second part while speed of train is in the ratio 2 : 1 in first and second part respectively. If average speed of train is 64 km/hr, then find the speed of train in first part? (in kmph)
Answers
Answer:
Part A speed=96*2=192km/h
Step-by-step explanation:
Two parts, parts A and part B
Part A=200% more than B
Let part B=x
Part A=200 more than B
=2x
Speed ratio=2:1
Average speed of train=64km/h
Let Part A speed=2x
Part B speed=x
A:B=2:1
Total ratio =3
Speed in the part A can be calculated thus:
Totatl speed= ratio of speed in part A / total ratio
64=2x/3
192=2x
x=96km/h
Part A speed=96*2=192km/h
Simply this expression (3 + 2i)^2
Answers
Answer:
5 + 12i
Step-by-step explanation:
(3 + 2i)^2 = (3 + 2i)(3 + 2i) = 9 + 6i + 6i + 4i^2 = 9 + 12i - 4 = 5 + 12i
Answer:
5 + 2i
Step-by-step explanation:
since [tex]\sqrt{-1} = i[/tex]
Use the perfect square formula ( a + b )^2
= 3^2 + 2 · 3 · 2i + (2i)^2
= 5 + 2i
or,
[tex]5+2\sqrt{-1}[/tex]
Dose anyone know the answer to this question?
Answers
Answer:
-3
Step-by-step explanation:
-3k / ( k-2) + 6 / ( k-2)
since the denominators are the same we can add the numerators
(-3k+6) / ( k-2)
Factor out -3
-3 ( k-2)/ ( k-2)
Cancel like terms
-3
Answer:
[tex]\boxed{\sf -3}[/tex]
Step-by-step explanation:
The denominators are same. Add fractions.
[tex]\displaystyle \sf \frac{-3k+6}{k-2}[/tex]
Factor out the expression in the numerator.
[tex]\displaystyle \sf \frac{-3(k-2)}{k-2}[/tex]
Cancel common terms.
[tex]\displaystyle \sf \frac{-3}{1}=-3[/tex]
A retailer charges a flat handling fee of $5.00, plus $0.75 per quarter pound, to ship an item. Bailey pays $9.50 to have an item shipped from the retailer. What is the weight of the item? A- 1.50 pounds B- 1.75 pounds C- 3.75 pounds D- 6.00 pounds
Answers
Answer:
D. 6 pounds
Step-by-step explanation:
$9.50-$5.00=$4.50; $4.50/$0.75= 6 pounds
Answer:
A - 1.50 pounds
Step-by-step explanation:
A new soft drink is being market tested. It is estimated that 60% of consumers will like the new drink. A sample of 96 taste tested the new drink. a) Determine the standard error of the proportion b) What is the probability that more than 75% of consumers will indicate they like the drink
Answers
Answer:
a
[tex]S.E = 0.05[/tex]
b
[tex]P(P > 0.75) = 0.0013499[/tex]
Step-by-step explanation:
From the question we are told that
The population [tex]p = 0.60[/tex]
The sample size is [tex]n = 96[/tex]
The sample proportion is [tex]\r p = 0.75[/tex]
Generally the standard error is mathematically represented as
[tex]S.E = \sqrt{ \frac{p(1-p)}{n } }[/tex]
substituting values
[tex]S.E = \sqrt{ \frac{0.60 (1-0.60 )}{96 } }[/tex]
[tex]S.E = 0.05[/tex]
The probability that more than 75% of consumers will indicate they like the drink is mathematically represented as
[tex]P(P > 0.75) = P(\frac{\r P - p }{\sqrt{\frac{p(1-p)}{n} } } > \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n} } } )[/tex]
The z-score is evaluated as
[tex]z = \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n} } }[/tex]
So
[tex]P(P > 0.75) = P(Z > \frac{0.75 - 0.60 }{0.05} )[/tex]
[tex]P(P > 0.75) = P(Z > 3)[/tex]
[tex]P(P > 0.75) = 0.0013499[/tex]
This value above is obtained from the z-table
Find the value of x in the triangle shown below
Answers
Answer:
62 degrees
Step-by-step explanation:
As two sides shown are same in length thus angle containing by them will be also same.
Thus, other unmarked angle will also be x degrees.
one angle is 56 degrees
we know that sum of angle of triangle is 180 degrees.
Thus
x + x + 56 = 180
2x + 56 = 180
2x = 180 - 56 = 124
x = 124/2 = 62
Thus, value of x is 62 degrees.
10 points + brainliest... IF you can tell me if I'm right or wrong! (no explanation needed but the person with most explanation will get brianleist)
Answers
Answer:
All correct
Step-by-step explanation:
All proposed answers correct, and well indicated in set notation.
E={a,c,f}
A={a,c,j}
find the intersection of E and A.
find the union of E and A
write your answer using set notation (in roster form)
Answers
Answer:
i. E ∩ A = { a , c }ii. E ∪ A = { a , c , f , j }Step-by-step explanation:
Given
E = { a , c , f }
A = { a , c , j }
i) Let's find the intersection of E and A
E ∩ A = { a , c , f } ∩ { a , c , j }
In the case of intersection , we have to list the elements which are common in both sets:
E ∩ A = { a , c }
ii) Let's find the union of E and A
E ∪ A = ( a , c , f } { a , c , j }
In the case of Union, we have to list all the elements which are present in both sets.
E ∪ A = { a , c , f , j }
Hope this helps..
Best regards!!
Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually higher. You take an SRS of 225 people and find that 31 of them are left handed. Test your claim at the 5% significance level.
A. State your null and alternative hypotheses.
B. Sketch the rejection region.
C. Calculate the test statistic.
D. Determine the P-value for your test.
Answers
Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
Triangle XYZ is isosceles. Angle Y measures a°. Triangle X Y Z is shown. The lengths of sides Y X and Z X are congruent. Angle X Y Z is a degrees. What expression represents the measure of angle X? 2a StartFraction a Over 2 EndFraction 90 a 180 2a
Answers
Answer:
the answer is D.
Step-by-step explanation:
correct on edge
The expression which represents the measure of angle X is therefore; The angle x =180 - 2a.
Isosceles triangleAccording to the question;
Triangle XYZ is isosceles and Angle Y measures a°.The lengths of sides Y X and Z X are congruent.From the given information;
The measures of angle Y and Z = a.
The expression represents the measure of angle X is therefore; The angle x =180 - 2a.
Read more on isosceles triangle;
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8mi 200 yds - 2 mi 528 yds =
Answers
Answer:
5 mi 1432 yds
Step-by-step explanation:
8mi 200 yds
- 2 mi 528 yds
---------------------------
We have to borrow 1 mile and convert to yards
1 mile = 1760 yds
7mi 200+1760 yds
- 2 mi 528 yds
---------------------------
7mi 1960 yds
- 2 mi 528 yds
---------------------------
5 mi 1432 yds
Answer:
8mi 200yds - 2mi 528yds
= 5mi 1432yds
Step-by-step explanation:
1 mile = 1760 yards
8 miles = 7miles + 1 mile = 7 miles + 1760 miles = 7 miles 1760 yards
8miles 200 yards = 7miles + 1760 yards + 200 yards = 7miles + 1960 yards
then:
8mi 200 yds - 2 mi 528 yds = 7mi 1960yds - 2mi 528yds
7mi 1960yds
- 2mi 528yds
= 5mi 1432yds
PLLZZZZ help me find x you are AWSOME!! I need this ASAP
Answers
Answer:
27°
Step-by-step explanation:
D is 72° because it alternates with B, alternate angles are equal.
2x+72°+2x= 180° because it is a straight line.
4x+72°=180°
4x=108°
x=27°
Which is the equation of the line for the points in the given table
Answers
Answer:
A...............................
40.) Decompose 7/8 into the sum of unit fractions.
Answers
Answer:
7/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8
7/8 = 1/8 + 6/8
7/8 = 4/8 + 3/8
7/8 = 5/8 + 2/8
Step-by-step explanation:
Hope it helps!
The fraction 7/8 can be written as the sum of unit fraction i.e;
1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8.
What is unit fraction?A unit fraction can be defined as a fraction whose numerator is 1.
Given fraction 7/8
can be written as the sum of the unit fraction i.e;
7/8=1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8
Hence,7/8 can be decomposed into sum of unit fraction as
1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8.
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help me plz I really dont get it
Answers
(6/22 + 5/77) ^2 equalviant to in fraction form
Answers
Answer:
676/5929
Step-by-step explanation:
From 1985 to 2007, the number B B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 B(t)=-329.4t+13747 where t is the year and t=0 corresponds to 1985. How many federally insured banks were there in 1990?
Answers
Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
HELP ASAP PLEASE (25 POINTS) Solve and reduce if possible. 5/12 − 7/8 = ?
Answers
Answer:
-11/24
Step-by-step explanation:
5/12 - 7/8
We need to get a common denominator of 24
5/12 *2/2 - 7/8 *3/3
10/24 - 21/24
-11/24
Answer:
-11/24
Step-by-step explanation:
Well to solve 5/12 - 7/8 we need to find the LCM.
12 - 12, 24, 36, 48
8 - 8, 16, 24, 32, 40
So the LCM is 24.
Meaning we need to make both denominators 24.
12*2 = 24 5*2 = 10
10/24
8*3 = 24 7*3 = 21
21/24
10/24 - 21/24
= -11/24
Thus,
the answer is -11/24.
Hope this helps :)
How many ways can 3 boys and 2 girls stand in a row so that the two girls are not next to each other?
Answers
Answer:
3 ways← key b=boy g=girlStep-by-step explanation:
b g b gg b b gg b g bgive brainllest please °∩°
Hope it helps
Please mark my answer as BRAINLIEST