Answer:
32.1 pounds
Step-by-step explanation:
Given data
Percentage of body fat= 19.8%
Weight= 162pounds
Let us find 19.8% of the persons weight
=19.8/100*162
=0.198*162
=32.076
Therefore, 32.1 pounds of the weight is fat
Factorise the following.
Answer:
iii. (p - 7)(p - 3)
iv.(x - 8)(x + 4)
Step-by-step explanation:
iii. p² - 10p + 21
= p² - (7 + 3)p + 21
= p² -7p -3p + 21
= p(p - 7) - 3(p - 7)
= (p - 7)(p - 3)
iv. x² - 4x - 32
= x² - (8 - 4)x - 32
= x² - 8x + 4x - 32
= x(x - 8) + 4(x - 8)
= (x - 8)(x + 4)
The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Answer:
9.60πcm²
Step-by-step explanation:
Area of circular disk, A = πr²
Differntiate A with respect to r
dA/dr = π * (2r^(2-1)) /(2-1) + C
dA/dr = π * 2r/1
dA/dr = 2πr
dA = 2πr * dr
dA = 2πrdr
dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm
dA = 2π * 24 * 0.2
dA = 9.60πcm²
Someone help me please
Answer:
1440°
Step-by-step explanation:
the formula used for this is (n-2)×180° where n=# of sides in the polygon
giving brainliest ! *easy*
Answer:
19π/15
Step-by-step explanation:
Answer:
θ + 19π / 15 this is my answer
Answer the question in the picture please and if you don't know please just don't answer it <3
9514 1404 393
Answer:
340 quarters1020 dimes1031 nickels2062 penniesStep-by-step explanation:
x is the number of quarters
__
a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters
b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes
c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels
d) The total number of coins is ...
x + d + n + p = 4453
x + (3x) +(3x +11) +(6x +22) = 4453
13x +33 = 4453
13x = 4420
x = 4420/13 = 340 . . . . number of quarters collected
3x = 1020 . . . . . . . . . . . .number of dimes collected
1020 +11 = 1031 . . . . . . . number of nickels collected
2·1031 = 2062 . . . . . . . . number of pennies collected
There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.
_____
Check
340 +1020 +1031 +2062 = 4453 . . . as required
How are zero identified in a rational expression??? Please help
0x0
Step-by-step explanation:
Answer:
look at the y and x intercept
Step-by-step explanation:
what is 2/3 + 1/4 as a fraction
Answer:
[tex] \frac{11}{12} [/tex]
Can I be brainliest pls
When deciding between two alternatives, an individual considers
Answer:
Between two factors moving the same direction.
Hoped this helped
PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)
Answer:
800 × ( 3.87 ÷ 100 ) × 1
= 30.96
2028.863 rounded to the nearest hundredth
Answer:
2028.863 to the nearest hundredth
The Number In The Hundredth Place Is 6 And The The Number Following Is 3 And Because Its Less Than 5, The 6 Will Remain.
So Its 2028.86
Answer:
2,028.86
Step-by-step explanation:
this is the correct answer to your question
c. Add two cube numbers and
one square
number.
Answer:
Step-by-step explanation:
Add two cube numbers and
one square
number.
Please help me
I give u brainliest answer if correct and all those
Answer:
3) 23.32
4) 11.12
5) 2.06
6) 20.69
..................
Answer:
Step-by-step explanation:
3. 12+3.04+8.28= 23.32
4. 6.97+4.15= 11.12
5. 9.04-6.97= 2.07
6. 4.02+0.19+16.48= 20.69
Sorry if I'm wrong hope it helps!
About 20,000 fewer babies were born in
California in 1996 than in 1995. In 1995,
about 560,000 babies were born. Which
equation can be used to predict the
number of babies y (in thousands), born x
years after 1995?
Answer:
The answer is B
Step-by-step explanation:
Your substracting the 20,000 from the 560,000
a school has 2 computer labs each lab has 30 computer
Answer:
the answer is 60 because 2 times 30 is 60
Step-by-step explanation:
The design for a small counter top
is shown. What is the perimeter and
area of the counter top?
Answer:
P = 22 ft
A = 18 ft²
See picture
Step-by-step explanation:
The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).
Add all the sides together for the perimeter.
Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.
Which of the following functions is graphed below ?
Answer:
A. y = |x + 4| - 2.
Step-by-step explanation:
The graph of y = |x| is V shaped and passes through the origin and the slope is 1 (like the given graph).
y = |x + 4) moves the V shaped graph 4 units to the left so the tip of the V is at x = -4.
Now subtracting 2 from this graph will bring the graph to the point where x = -4 and y = -2.
So the given function is y = |x + 4| - 2.
A bag contains three yellow tickets numbered on to three. The bag also contains four green tickets numbered one to four. What is the probability of randomly picking a ticket that is yellow or has an even number?
Answer:
6/7
Step-by-step explanation:
yellow = 3
even =3
3+3=6
n(s)=7 so 6/7
A floor is 7 m long and 5 m wide. A square carpet of side 4 m is laid on the floor. Find
the area of the floor that is not carpeted?
Answer:
the area of the floor that is not carpeted 19 m squared
Step-by-step explanation:
7x5 =35 m squared = area of the floor
4x4 = 16 squared =(area of the carpeted floor)
35-16 = 19
A sample of six repair records for a different type of fiber optic component was drawn. The repair costs, in dollars, were as follows. 93 97 27 79 81 87 Would it be appropriate to compute a 95% confidence interval for the population standard deviation of the costs
Answer:
The answer is "This is the right thing. There might be a surface sample which indicates that the population is not regular".
Step-by-step explanation:
When the community is ordinary or a biosensor, a normal distribution could be calculated for the dependent variable. Data shows chi-squared distributions of n-1 degrees - of - freedom about the dependent variable.
Chi-square was its precise outcome for the data set, while chi-square is a close estimate for non-normal information. So, we should also calculate CI for uncommon information. Throughout the case of an outlier, however, data refers to non because as mean tends to move in a skewed direction to the outer surface.
Raul's hunting club membership costs $130 plus $45 per month. Which equation represents the cost of membership for x months?
Answer:
[tex]y = 130 + 45x[/tex]
Step-by-step explanation:
Given
[tex]Base = 130[/tex]
[tex]Monthly = 45[/tex]
Required
The cost for x months
Represent this cost with y.
So:
[tex]y = Base + Monthly * x[/tex]
[tex]y = 130 + 45 * x[/tex]
[tex]y = 130 + 45x[/tex]
5/6 + (-4/9) - (-2), is this right??
Answer:
YES SIR OR I MEANT YES MAM
Use mental math to simplify.
(4.55 + 27) + 5.45
Answer:
31.55+5.45
Step-by-step explanation:
4.55+27 would go to 31.55
31.55+5.45
Answer: 37
Step-by-step explanation:
4.55 + 27 = 31.55
31.55 + 5.45 = 37
Guys I need help, if a couch costs 200 dollars and is marked up 300 percent, what is the cost?
Answer:
200 X 300% =$600.00
Step-by-step explanation:
Researchers published a study in which they considered the incidence among the elderly of various mental health conditions such as dementia, bi-polar disorder, obsessive compulsive disorder, delirium, and Alzheimer's disease. In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study. Calculate the probability that fewer than 320 out of the n
Answer:
The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.
Step-by-step explanation:
We use the normal approximation to the binomial distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.
This means that [tex]p = 0.45[/tex]
Mean and standard deviation for the approximation, for a sample of n:
[tex]\mu = E(X) = np = 0.45n[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]
Calculate the probability that fewer than 320 out of the n
Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]
Just have to replace the value of n, find Z, and then find its pvalue.
Great Falls is at approximately 47.5 degrees N, and 111.3 degrees W. Lemhi is approximately 45.5 degrees N, and 113.5 degrees W. (We will assume the rivers flow straight from Great Falls to Lemhi on the surface of Earth). Apply the Law of Cosines for Sides of a spherical triangle to find the angle between Great Falls and Lemhi.
Answer:
The angle between Great Falls and Lemhi is approximately 3.02°
Step-by-step explanation:
The location parameters are;
The Great Falls location = 47.5° N, 111.3° W
The location of Lemhi = 45.5 °N and 113.5 °W
Therefore, we have;
The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°
The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°
The angle between the lines of longitude, P = 113.5° - 113° = 0.5°
By the law of cosines for Sides of a spherical triangle, we have;
CosAB = cos AP·cosPB + sinAP·sinPB·cosP
Where;
AB = The angle between Great Falls and Lemhi
∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986
AB ≈ arccos(0.9986) ≈ 3.02°
The angle between Great Falls and Lemhi ≈ 3.02°
Seven students were surveyed on the number of pets in their house. The results are shown below:
2, 2, 2, 3, 4, 4, 11
What is the mean number of pets?
Answer:
the mean number of pets is 4.
Step-by-step explanation:
if you add all of the numbers together, you get 28. Then you divide 28 by the amount of students.
Please show youre work and i will give brainliest :)
Answer:
[tex]y = \frac{1}{6}x - 4[/tex]
[tex]y = \frac{x}{2} + 2[/tex]
[tex]y = \frac{1}{8}x[/tex]
[tex]y = \frac{1}{6}x+ \frac{2}{3}[/tex]
[tex]y = 12x - 9[/tex]
Step-by-step explanation:
Required
Represent in gradient intercept form
This means that the equation be in form: [tex]y = mx + c[/tex]
Solving (a): [tex]3y = \frac{1}{2}x - 12[/tex]
Divide through by 3
[tex]\frac{3y}{3} = \frac{1}{3*2}x - \frac{12}{3}[/tex]
[tex]y = \frac{1}{6}x - 4[/tex]
Solving (b): [tex]5x = 10y - 20[/tex]
Make y the subject
[tex]10y = 5x + 20[/tex]
Divide through by 10
[tex]y = \frac{5x}{10} + \frac{20}{10}[/tex]
[tex]y = \frac{x}{2} + 2[/tex]
Solving (c): [tex]x = 8y[/tex]
Make y the subject
[tex]8y= x[/tex]
Divide through by 8
[tex]y = \frac{1}{8}x[/tex]
Solving (d): [tex]\frac{1}{2}x = 3y - 2[/tex]
Make y the subject
[tex]3y = \frac{1}{2}x+ 2[/tex]
Divide through by 3
[tex]y = \frac{1}{2*3}x+ \frac{2}{3}[/tex]
[tex]y = \frac{1}{6}x+ \frac{2}{3}[/tex]
Solving (d): [tex]\frac{2}{3}y - 8x = -6[/tex]
Make y the subject
[tex]\frac{2}{3}y = 8x -6[/tex]
Divide through by 3/2
[tex]\frac{3}{2} * \frac{2}{3}y =\frac{3}{2} * ( 8x -6)[/tex]
[tex]y =\frac{3}{2} * ( 8x -6)[/tex]
[tex]y =\frac{3}{2} * 8x -\frac{3}{2} * 6[/tex]
[tex]y = 3 * 4x - 3 * 3[/tex]
[tex]y = 12x - 9[/tex]
SOMEONE HELP ME PLEASE I BEG YOU
Answer:
x=40 mark brainlist please
Step-by-step explanation:
PLEASE HELP will give right answer brainiest
Answer:
48 -52 and 64 - 66
Step-by-step explanation:
sence it dosent give exact numbers on the graph ur going to have to estimate then to find when it increases look for an interval were it goes up reading from left to right and for decreasing look for an interval that is going down reading the graph left to right
what is V50+V32 please help.
Answer:
82V
Step-by-step explanation:
regroup terms 50V+V×32
regroup terms 50V+32V
simpfly 82V
