Answer: 0.29
Step-by-step explanation:
OQ is the side opposite angle P, QP is the side opposite angle O, and PO is the side opposite angle Q.
This means that tangent = opposite/adjacent, the tangent of angle O is the opposite side, QP, over the length of the adjacent side, OQ. (It cannot be PO since that's the hypotenuse)
This means that the tangent of O is 7/24, which is about 0.29
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.
Use the table to estimate the probability that a randomly -selected male is between 67 and 45 inches tall. Express your answer as a decimal.
Using the normal distribution, it is found that the probability is 0.16.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].
The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:
X = 67:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{67 - 70}{3}[/tex]
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 70}{3}[/tex]
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
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Kate and Isaac share 495 sweets.
Kate gets 20% more sweets than Isaac
How many sweets does Isaac get?
Answer:
I believe it is 149Step-by-step explanation:
When solving, at what point do you know that your solutions are imaginary? Does x^2 +9 =0 have real or imaginary solutions? How do you know?
Answer:
Real solutions
Step-by-step explanation:
I know that because I am smart
Julio watched a movie that started at 11:30 am and ended at 2:12 pm how long was the movie
The half-life of sr-85, which may be used in bone scans, is 64. 8 days. How many milligrams of a 7 mg sample will be left after 127 days? round to the hundredths place
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &7\\ t=\textit{elapsed time}\dotfill &127\\ h=\textit{half-life}\dotfill &64.8 \end{cases} \\\\\\ A=7\left( \frac{1}{2} \right)^{\frac{127}{64.8}}\implies A=7\left( \frac{1}{2} \right)^{\frac{635}{324}}\implies A\approx 1.80[/tex]
The half-life of sr-85, which may be used in bone scans, is 64.8 days. 1.80 milligrams of a 7 mg sample will be left after 127 days.
What is half-life?Half-life is defined as the time required for a quantity to reduce to half of its initial value.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days.
We need to find how many milligrams of a 7 mg sample will be left after 127 days.
[tex]\rm A = P\frac{1}{2} ^{t/h}[/tex]
here A = current amount
P = inital amount
t = time
h = half life
So,
[tex]\rm A = 7\frac{1}{2} ^{127/64.8}[/tex]
[tex]\rm A = 7\frac{1}{2} ^{635/324}\\A = 1.80[/tex]
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If the simple interest on $5,000 for 4 years is $1,800, then what is the interest rate?
Answer:
9%
Step-by-step explanation:
There are few differences in Florida plants as fall arrives. What differences might you see in the seeds of Florida plants?
A The seeds are dormant.
B The seeds are being produced.
C The seeds are ready for harvest.
D The seeds are starting to germinate.
In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.
What is fall?Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.
How does this season affect Florida plants and seeds?In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.
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Answer:it answer is harvested
Step-by-step explanation:
Rewrite 4 as a fraction.
4/4
4/1
1/4
Answer:
4/1
Step-by-step explanation:
when you divide 4 by 1 you will get 4 which is your original answer.
I need help please!!!!!!
Answer:
432 feet^2
Step-by-step explanation:
If we fill in the edges, it'll be 24x8, since 16+2 is 18, and 20+2(2) is 24. 24x18 is 432. Brainliest please.
1. Find the length of the arc shown in red:
2. Find the area of the circle:
Answer:
Step-by-step explanation:
Not an actual test question but just curious:
if an exponential function is flipped by the x axis then is that function still positive or negative.
EX:
well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.
so for an exponential function
is the function ever positive only? it can be
is it negative only? it can be
can it be both? sure thing, most of the time it's both
we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.
notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.
above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.
so that you're coming purpose of each circle and find the radius and diameter below the circle
please help I need It now answer it correctly
Answer:
1.
The radius is given, so the radius is = 10
The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter
And to solve for circumference, your formula is;
C = 2πr
Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.
Plug in your values:-
C = 2πr
C = 2(3.14) x 10
C = 6.28 x 10
C = 62.8, so your circumference is 62.8.
2.
Your radius is half of your diameter, so,
D/2 = R
D = diameter
R = Radius
49/2 = 24.5 is your radius.
Your diameter is given, so the diameter is 49.
Use the formula we applied for circumference in our other problem;
C = 2πr
C = 2(3.14) x 24.5
C = 6.28 x 24.5
C = 153.86, so 153.86 is your circumference.
The number of points scored by two basketball teams in each teams' latest
10
games are listed below. Compare and contrast the measures of central
tendency for the data sets.
Team one: {54, 47, 62, 59, 49, 51, 54, 60, 57, 53}
Team two: {63, 57, 49, 52, 61, 43, 51, 53, 56, 48}
Answer:
See below.
Step-by-step explanation:
Arranging the data in ascending order:
Team one: { 47, 49, 51, 53, 54, 54, 57, 59, 60, 62}
Team two: {43, 48, 49, 51, 52, 53, 56, 57, 61, 63}
The mean for team one = sum of the scores / 10 =
= 546/10 = 54.6.
The median for team 1 = 54.
The mean for team two = sum of the scores / 10 =
= 533/10 = 53.3.
The median for team 2 = 52.5.
Team 1 has a higher mean than team 2: 54.6 - 53.3 = 1.3 higher.
In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.
HELP GUYS ASAP THIS QUESTION IS DUE SOLVE
The diameter of a cylinder is 1 yd. The height is 12 ydof the cylinder? Find the volume of the cylinder.
Answer:
the volume should be 9.42
Construct a specific 2x2 matrix a with no zero entries at all such that aat = i
A 2 x 2 matrix has 2 rows and 2 columns
A specific 2 x 2 matrix a with no zero entries at all is [tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]
How to construct the matrix?From the question, we understand that the matrix is a 2 x 2 matrix.
A 2 x 2 matrix is represented as:
[tex]\left[\begin{array}{cc}a&b\\c&d&\end{array}\right][/tex]
Also from the question we understand that the elements of the matrix are non-zero.
This means that:
[tex]a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0[/tex]
An example of such matrix is:
[tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]
Note that there are several matrices that fit the given construction requirement
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Convert 0.595 to a fraction in simplest form
0.595
= 595/1000
= 119/200
what is y=-2x+5 as standard form
Answer:
2x + y = 5
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - 2x + 5 ( add 2x to both sides )
2x + y = 5 ← in standard form
Answer:
y=-2x+5 as standard form is 2x+y=5
HELP
Which decimal is greater than 1.89?
1.54
1.79
1.97
1.35
Answer:
1.97>1.89
Step-by-step explanation:
All of the other options are less than 1.89.
1.54 < 1.89
1.79 < 1.89
1.35 < 1.89
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
i need help with the second part of the question please helppp!!! will give brainliset
Answer:
$79.99
Correct method:
[tex]\rightarrow \sf 5(r-14.5)=327.45[/tex]
[tex]\rightarrow \sf 5r-72.5=327.45[/tex]
[tex]\rightarrow \sf 5r=327.45+72.5[/tex]
[tex]\rightarrow \sf 5r=399.95[/tex]
[tex]\rightarrow \sf r=\dfrac{399.95}{5}[/tex]
[tex]\rightarrow \sf r=79.99[/tex]
The regular price is $79.99
Answer:
$79.99
Step-by-step explanation:
The error is in step 3. He needed to ADD 72.50 to both sides of the equation. Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.
Correction calculation
5(r - 14.50) = 327.45
5r - 72.50 = 327.45
5r = 399.95
r = 79.99
The regular price is $79.99
What is the maximum age of the youngest 25% of the passengers?
Using the percentile concept, it is found that the maximum age of the youngest 25% of the passengers is of 30.
What is the percentile concept?When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.
Researching the problem on the internet, it is found that the distribution of the ages is described by a box and whisker plot, which states that:
The 25th percentile is of 30.The median is of 45.The 75th percentile is of 60.Hence, the maximum age of the youngest 25% of the passengers is of 30.
More can be learned about the percentile concept at https://brainly.com/question/24495213
A puppy weighs 4 pounds. How many ounces does the puppy weigh?
Answer:
64 ounces
Step-by-step explanation:
Since 1 lb = 16 oz, just do 4 × 16 = 64
If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
There are 16 ounces in a pound.
1 pound= 16 ounces.
Given that puppy weighs 4 pounds.
We have to find the wight in ounces.
To convert pounds to ounces, we need to multiply the weight in pounds by 16.
The puppy weighs 4 pounds x 16 ounces/pound
= 64 ounces
Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.
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Use the figure to answer the question.
What is the area of the triangle on the left?
Answer: 15
Step-by-step explanation:
Area of a triangle = base * height.
Since the inside figure is a square, the base of the triangle must be 5.
To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.
Plug these numbers into the formula: 5 * 6 / 2 = 15 :)
Answer:
the answer is 29
Step-by-step explanation:
The answer is 12 because
the length is 17 then i did minus 5 since that's the width
17-5=12
that's the length for the slanted part then......
12+12=24+5=29
(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.
What is the area of a sector with a central angle of 10π7 radians and a radius of 18. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².
The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The given data in the problem is;
[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485
r is the radius = 18.4 m
The area of a sector of a circle is found as;
[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]
Hence the area of the sector of the circle will be 759.34 m².
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After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.
Cindy's new annual premium including the discount would be given by: Option A: $504.24
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
The table given is:
Type of Insurance Coverage Coverage Limits Annual Premiums
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24
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Answer:
its a
Step-by-step explanation:
Jesse is helping her grandmother plant a garden in the shape of a trapzoid
Base one is 12.5
base two 0.5 times length of base one
the height is 10 feet
A small business had profits of $200, $300, $400, $500 and $500 over the 5 months. How much profit should the business make in the 6th month to have an average profit of $550 over the 6 months?
Answer:
$1400
Step-by-step explanation:
x= profit of 6th month
(200+300+400+500+500+x)
-------------------------------------- = 550
6
(1900+x)=3300
x=3300-1900
x=1400
Help me with this question!!
50 points + Brainliest
No spammers allowed
Thanks in advance.
No. 7.a
Answer:
∠BAC = 35°
AC = 5 cm
BD = 2.4 cm
Step-by-step explanation:
As ΔABC ~ ΔBDC then ∠CBD ≅ ∠BAC
As ∠CBD = 35° then ∠BAC = 35°
Using Pythagoras' Theorem
CB² + AB² = AC²
⇒ 3² + 4² = AC²
⇒ 25 = AC²
⇒ AC = 5 cm
As ΔABC ~ ΔBDC then
AB : AC = BD : BC
⇒ 4 : 5 = BD : 3
[tex]\sf \implies \dfrac45=\dfrac{BD}{3}[/tex]
[tex]\sf \implies BD=\dfrac{12}{5}=2.4\:cm[/tex]
**A right triangle with legs of 3cm and 4cm, and a perpendicular line from the hypotenuse to the right angle vertex, does not have an internal angle CBD of 35°. It should be 36.87°. So if you use SOHCAHTOA to find the length of BD, it will be incorrect. See attached diagram**
Answer:
35°, 5 units, 2.4 unitsStep-by-step explanation:
Given
ΔABC ~ ΔBDCCorresponding angles are congruent
∠BAC ≅ ∠DBC m∠BAC = m∠DBC = 35°Use Pythagorean to find the length of AC
[tex]AC = \sqrt{AB^2+BC^2} =\sqrt{3^2+4^2} =\sqrt{25} =5[/tex]The ratio of corresponding sides is equal
BD/AB = BC/ACBD/4 = 3/5BD = 4*3/5BD = 2.4What is the simplest form of
2(3x-2y) + 3(x-3y)
Answer:
9x - 13y
Step-by-step explanation:
2(3x - 2y) + 3(x - 3y)
Use distributive law a(b + c) = ab + ac
⇒ 2·3x - 2·2y + 3·x - 3·3y
⇒ 6x - 4y + 3x - 9y
Gather like terms:
⇒ 6x + 3x - 4y - 9y
Combine like terms:
⇒ 9x - 13y
I’m confused on what to do.
All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:
3/20
You are ordering sweatshirts for your baseball team. The bar graph shows how many of each size you will need. Which choice below is NOT true?
Answer:
- more people need extra large sweatshirts than large sweatshirts
Answer: C
Step-by-step explanation:
More people need extra large sweatshirts than large sweatshirts.