Answer:
The weight of 15 bags is 258.21 kilograms.
The volume of 15 bags is 2.222 cubic yards.
Step-by-step explanation:
Dimensionally speaking, a pound equals 0.453 kilograms and a cubic yard equals 27 cubic feet. We proceed to calculate the weight and the volume of 15 bags by following conversions:
Weight
[tex]x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}[/tex]
[tex]x = 258.21\,kg[/tex]
The weight of 15 bags is 258.21 kilograms.
Volume
[tex]x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}[/tex]
[tex]x = 2.222\,yd^{3}[/tex]
The volume of 15 bags is 2.222 cubic yards.
The paved area is a square with sides 2 m long.
The paving stones for this area are squares that measure 50 cm by 50 cm
How many paving stones are needed?
Answer:
Step-by-step explanation:
2 meters = 200 cm
200 cm × (1 block)/(50 cm) = 4 blocks
4 blocks by 4 blocks = 16 blocks
Answer:
16 paving stones
Step-by-step explanation:
1 m = 100 cm
The square has sides 200 cm long
Its area is 200(200) = 40000 sq cm
Each paving stone has an area of 50(50) = 2500 sq cm
So 40000/2500 = 16 paving stones
to find the value of r, Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). How could this help Stephen reason the value of r? Explain your reasoning.
PLZ HELP ASAP
Answer: See explanation
Step-by-step explanation:
We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.
In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).
Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:
r-6 = 9
r = 9 + 6
r = 15
Check: 3r - 18
3(15) - 18 = 45 - 18 = 27
1. An airplane flies with a constant
speed of 740 miles per hour. How
far can it travel in 2 hours?
Answer:
740×2= 1480 in 2 hours
hope this helps :)
Write as an expression and solve (show your work!).
One-fourth the difference between twenty-one and five
Answer:
4
Step-by-step explanation:
1 / 4 x (21 - 5) =
1/4 x 16 = 4
Hope that helps!
The Harris Poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who folllow at least one sport, followed by baseball at 15%, mens college football at 10%, auto racing at 6%, mens professional basketball at 5%, and ice hockey at 5%, with other sports at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results:
Professional Football Baseball Men's college football Auto racing Men's professional basketball IceHockey OtherSports
111 39 46 14 6 20 108
Do college undergraduates students differ from the general public with regard to their favorite sports? Use x= .05.
Answer:
The calculated χ² = 20.779 falls in the critical region χ² ≥ 14.46 so we accept the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: the college undergraduates students do not differ from the general public with regard to their favorite sport
H0: μ1= μ2=μ3=μ4= μ5=μ6=μ7=μ
against the claim
Ha: the college undergraduates students differ from the general public with regard to their favorite sport
2) The significance level alpha is set at 0.05
3) The test statistic under H0 is ( Pearson goodness of fit test )
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 6 (n-1) d.f
4) Computations:
Under H0 , the observed frequencies are :
Observed Expected (O-E) (O-E)² (O-E)²/E
111 (0.33*344)=
113.52 -2.52 6.3054 0.0555
39 51.6 -12.6 158.76 3.0767
46 34.4 11.6 134.56 3.911
14 20.64 -6.64 44.0896 2.136
6 17.2 -11.2 125.44 7.293
20 17.2 2.8 7.84 0.4558
108 89.44 18.56 344. 4736 3.8514
344 20.779
5) The critical region is χ² ≥ χ² (0.025)6 = 14.45
6) Conclusion:
The calculated χ² = 20.779 falls in the critical region χ² ≥ 14.46 so we reject the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.
Given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.
Since the Harris Poll tracks the favorite sport of Americans who follow at least one sport, and results of the poll show that professional football is the favorite sport of 33% of Americans who folllow at least one sport, followed by baseball at 15%, mens college football at 10%, auto racing at 6%, mens professional basketball at 5%, and ice hockey at 5%, with other sports at 26%, considering a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results:
Professional Football = 111 Baseball = 39 Men's college football = 46 Auto racing = 14 Men's professional basketball = 6 Ice Hockey = 20 Other Sports = 108
To determine if college undergraduates students differ from the general public with regard to their favorite sports, the following calculation must be performed:
Pro football = 111/344 = 0.3226 = 32.26% (-0.74). Baseball = 39/344 = 0.1133 = 11.33% (-3.67). Men's college football = 46/344 = 0.1337 = 13.37% (+3.37). Auto racing = 14/344 = 0.0406 = 4.06% (-2.94). Men's professional basketball = 6/344 = 0.0174 = 1.74% (-3.26). Ice Hockey = 20/344 = 0.0581 = 5.81% (+0.81). Other Sports = 108/344 = 0.3139 = 31.39% (+5.39).
Therefore, given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.
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b) A triangle-based prism
12.7 cm
8 cm
9 cm
9 cm
Volume:
Surface Area:
What is the volume and surface area
Answer:
Step-by-step explanation:
9²+9²=162
√162 ≈12.7
so base is a right angled triangle with sides 12.7,9,9
area of base and top=2×1/2×9×9=81 cm²
area of sides=(9+9+12.7)×8
=30.7×8=245.6 cm ²
total surface are =81+245.6=326.6 cm²
volume=1/2 ×9×9×8=324 cm³
When you stand on snow, the average pressure P (in pounds per square inch) that you exert on the snow varies inversely with the total area A (in square inches) of the soles of your footwear. Suppose the pressure is 0.43 pound per square inch when you wear the snowshoes shown. Write an equation that gives P as a function of A. Then find the pressure if you wear the boots shown. (A=400in^2)
Find the pressure if you wear the boots shown below. (A=60in^2)
Answer:
0.43*0.43
Step-by-step explanation:
The pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
What is pressure?The force applied perpendicular to an object's surface per unit area across which that force is spread is known as pressure.
[tex]P= \dfrac{W}{A}[/tex]
As it is given that the pressure is inversely proportional to the area of the footwear. Therefore, the relation can be written as,
[tex]P\propto \dfrac{1}{A}\\[/tex]
Now, introducing a constant to remove the proportionality symbol, w that is the weight of the person, therefore,
[tex]P= \dfrac{W}{A}[/tex]
Now, as the area of the shoe is 60in², the pressure on the snow is 0.43 pounds per square inch. Therefore, the value of w can be written as,
[tex]0.43= \dfrac{W}{60}\\\\W = 25.8\rm\ pounds[/tex]
Now, the pressure on the snow if the area of the footwear is 400 in².
[tex]P= \dfrac{W}{A}\\\\P= \dfrac{25.8}{400}\\\\P = 0.0645 \rm\ pounds\ per\ inch^2[/tex]
Hence, the pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
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find the value of x.
Answer:
x = 120 degress
Step-by-step explanation:
I can help with more, I have the answers.
Match the following.
1. equilateral triangle
2. rectangle
3. circle circumference
4. trapezoid
5. parallelogram
6. triangle
7. regular polygon
8. circle area
1. A = 1/4s squared, square root of 3
2. A = bh
3. A = pi(r) squared
4. A = 1/2 h (b1+ b2)
5. C = pi(d)
6. A = base x altitude
7. A = 1/2(ap)
8. A = 1/2(bh)
- regular polygon
- trapezoid
- rectangle
- parallelogram
- circle circumference
- equilateral triangle
- circle area
Answer:
Answers are below.
Step-by-step explanation:
1. Equilateral triangle - A = 1/4 s^2 √3
2. Rectangle - A = bh
3. Circle circumference - C = πd
4. Trapezoid - A = 1/2 h (b1 + b2)
5. Parallelogram - A = base x altitude
6. Triangle - A = 1/2 bh
7. Regular polygon - A = 1/2 ap
8. Circle area - A = πr^2
Hope this helps.
Why is sum of yi.ui zero
Answer:
Q
=
n
i
=
1
(
Yi
−
(
β
0
+
β
1
X
i))
2
Pick the similar triangles
A quadrilateral had two angles thst measure 260degrees amd 50 degrees. The other two angles are in a ratio of 2:3. What are the measures of those two angles.
Step-by-step explanation:
Here's another solution.
360-275-20=65
ratio 3:10
3x+10x=65
13x=65
x=5
5*3=15° and 5*10=50°
15° and 50° are the other two angles
a Toyota Yaris goes 15 km on one litre of petrol how much petrol will it need to get to paga from bawku,120km
Answer:
8 litre
Step-by-step explanation:
very simple 120÷15=8
hope it helps you
please mark me as brainlist
Find the Area Please
I NEED THE ANSWERS PLZ
Answer:
1. 32
2. 4.7
3. 3
Step-by-step explanation:
4*8=32
6.5-1.8= 4.7
18/6=3 or 18 divided by 6 = 3
Help, Please, will give 20 points and brainiliest. URGENT!
Answer:
Step-by-step explanation:
b = 21 is the base, a is the height
area = 0.5ab = 210
ab = 420
a = 420/b = 420/21 = 20 ft
length of hypotenuse = √(a²+b²) = √(20²+21²) = √841 = 29 ft
what is 9+10x6x[7x7]+8x6x6x6x7x8
Answer:
99717
Step-by-step explanation:
Use PEMDAS
P stands for parenthesis so you do 7 x 7 first. It equals 49. E stands for exponents but there aren't no exponents. M stands for multiplying so you multiply 10 x 6 = 60. Then 60 x 49 = 2940. 8 x 6 = 48. 48 times 6 is 288. 288 x 6 is 1728. 1728 x 7 is 12096. 12096 x 8 is 96768. The A in PEMDAS is addition. 9+2940 equals 2949. 2949 + 96768 = 99717.
Find (x + 4)(x2 + x - 2). Write your answer in standard form.
Answer please
Answer:
X^3 + 5x^2 + 2x - 8
Step-by-step explanation:
A painter leans a ladder up against a wall. The ladder is 25 feet long and the wall is 15 feet high. How far from the wall is the base of the ladder?
Answer:
12 feet
Step-by-step explanation:
The ladder is 12 feet up the wall.
The ladder forms a right triangle with the wall and the ground. You want to use Pythagorean theorem to solve the problem. a2+b2 = c2
Use the Pythagorean Theorem (a2+b2=c2) where b=9 and c=15. Solve for a.
(hope this helps can i plz have brainlist :D hehe)
when calculating present value, the _____ the interest rate, the smaller the present value amount.
•smaller
•larger
when calculating present value, the _____ interest rate, the smaller the present value amount.
* smaller
* larger,✓
The correct value is,
''When calculating present value, the smaller the interest rate, the smaller the present value amount.''
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
To calculating the present value, The smaller the present value.
Now,
The correct value is,
''When calculating present value, the smaller the interest rate, the smaller the present value amount.''
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5y+3y????????????????????
Answer:
8y
Step-by-step explanation:
It's really simple! Because both of the variables are the same, You can just add it!
Hope this helps ^^
what is the prudct of 7\9 and 6
Answer:
378
Step-by-step explanation:
9 × 7 × 6 = 378
pls mark brainliest, if not, its ok :)
Answer:
14/3, or 4.6^bar
Step-by-step explanation:
first you'd just divide 7 by 9, resulting in [tex]\frac{7}{9}[/tex], or 0.7^bar.
Then you'd multiply either by 6, resulting in the answers above. Fractions are easier than infinite numbers, so if you're able to do that, I'd suggest you do so.
Hope this helped!
Given the sequence −2,−8/3,−103,−4,−14/3,... find the recursive formula.
A. a1=−2 and an+1=an+5/3
B. a1=−2 and an+1=an+1/3
C. a1=−2 and an+1=an−2/3
D. a1=−2 and an+1=an−5/3
I suppose the third term should say -10/3, not -103.
Notice that
-2 = -6/3
-4 = -12/3
so that, starting with the first term a(1) = -6/3, the every following term is obtained by subtracting 2/3.
-2 - 2/3 = -6/3 - 2/3 = -8/3
-8/3 - 2/3 = -10/3
-10/3 - 2/3 = -12/3 = -4
and so on.
So the recursive rule is
a(1) = -2,
a(n + 1) = a(n) - 2/3, for n ≥ 1
or C.
After two six-sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
0.222
0.139
0.167
0.083
Answer:
0.222
Step-by-step explanation:
out of 36 outcomes you have 8 possible outcomes for a '4' or '6':
1,5
5,1
3,3
2,4
4,2
2,2
1,3
3,1
8/36 = 2/9 = .2 repeating
The probability that the dice faces add up to either 4 or 6 is 0.222.
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Here, After two six sided dice are rolled,
Hence, Total outcomes = 36
So, Probability of getting sum 4 that is, {(1, 3), (2, 2), (3, 1)};
P = 3/36
And, Probability of getting sum 6 = 5/36
Hence, Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36
= 8/36
= 2/9
= 0.222
Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.
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One year Hank had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.36 . Also, Jane had the lowest ERA of any female pitcher at the school with an ERA of 3.49 . For the males, the mean ERA was 4.449 and the standard deviation was 0.792 . For the females, the mean ERA was 5.091 and the standard deviation was 0.669 . Find their respective z-scores. Which player had the better year relative to their peers, Hank or Jane
Answer:
Hank had a z-score of -1.375.
Jane had a z-score of -2.39.
Jane had the better year relative to their peers, due to her lower z-score.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Hank:
ERA of 3.36. For the males, the mean ERA was 4.449 and the standard deviation was 0.792. This means that we have to find Z when [tex]X = 3.36, \mu = 4.449, \sigma = 0.792[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.36 - 4.449}{0.792}[/tex]
[tex]Z = -1.375[/tex]
Hank had a z-score of -1.375.
Jane
ERA of 3.49. For the females, the mean ERA was 5.091 and the standard deviation was 0.669. This means that we have to find Z when [tex]X = 3.49, \mu = 5.091, \sigma = 0.669[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.49 - 5.091}{0.669}[/tex]
[tex]Z = -2.39[/tex]
Jane had a z-score of -2.39.
Which player had the better year relative to their peers, Hank or Jane
Low ERA is good, high is bad. This means that whoever had the lower z-score had the better year, and in this case, it's Jane
a store charges 32% extra for credit items. if the cash price is $1100, what is the credit price?
Answer:
$1452
Step-by-step explanation:
[tex]CP=1100*1.32=$1452[/tex]
What is the value of 3 3 5÷ 4 6?
Answer:a
Step-by-step explanation:
There are 6 thirds in 2 wholes. How many thirds are there in 6 wholes?
Answer:
there's 18 thirds in 6 wholes
b. A 50A by 35ft residential
garden produces 1975
servings of food over the
course of a year. How many
servings of food per square
foot is this?
Answer:
1.13 food per square feet
Step-by-step explanation:
Given
Dimension: 50ft by 35ft
Servings = 1975
Required
Determine the amount per servings
First, we calculate the area.
[tex]Area = 50ft * 35ft[/tex]
[tex]Area = 1750ft^2[/tex]
Next, we calculate the amount per square foot.
This is:
[tex]Rate = \frac{Serivings}{Area}[/tex]
This gives;
[tex]Rate = \frac{1975}{1750}[/tex]
[tex]Rate = 1.13[/tex]
Find tan e
53
45
8
28
A. B.
Ο Ο
D.
< PREVIOUS
TAN: 45/28
SIN: 45/53
COS: 28/53
sin(x°) = opposite/hypotenuse
cos(x°) = adjacent/hypotenuse
tan(x°) = opposite/adjacent
x is any degree measure.
Hence option C (45/28) is correct
What are trigonometric rations?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.
How to solve ?
Given θ
∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]
=45/28
= option c
Hence option C (45/28) is correct
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