Using the normal distribution, it is found that your systolic blood pressure is of 110.45.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The 30th percentile is X when Z = -0.525, hence your BP is given as follows.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 122}{22}[/tex]
X - 122 = -0.525 x 22
X = 110.45.
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I need to solve for X
Answer:
x = 10.5
Step-by-step explanation:
Intersecting chord theorem : If two chords intersect within a circle then the product of the measures of the segemnts made up of the chords are equal to each other.
For more reference to this, kindly view the attatched image.
Applying this theorem we would create an equation which would be 2 × x = 7 × 3
We then solve for x
2 × x = 7 × 3
==> simplify both sides
2x = 21
==> divide both sides by 2
x = 10.5
Helppppppppppppooooo
Answer:
864 ft^2
Step-by-step explanation:
Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B
one side is 20 x 14 = 280
another side is 12x14 = 168
another side is 16x14 = 224
the triangle bases are A=(1/2)bh
(1/2)12 x 16 = 96
2(96) = 192
Add all sides together 192 + 224 + 280 + 168 = 864
Guys please help me I'll give more points to whoever is corretc
What is the area of this figure?
free easy point just answer pls, i need help!!!
Answer:AA , BB , and CC are parallel to MN.
Step-by-step explanation:
In Autobiography by Abraham Lincoln, Lincoln avoids embellishing on his own life and keeps his portrayal of his life very_____.
A. neutral
B. negative
C. humorous
Abraham Lincoln, in his autobiography, kept his portrayal of his life very: A. neutral.
What is an Autobiography?An autobiography can be described as the account of the of an individual which is authored by the individual whose life is being narrated.
For Abraham Lincoln, the manner in which he described himself sounded quite neutral in the autobiography he authored.
We can conclude that Lincoln kept his portrayal of his life very: A. neutral.
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does anyone know how to turn this into written form?
Answer:
Down below
Step-by-step explanation:
First one: Sixth root of B. Second one: Fourth root of X to the Z power. Third one: Square root of nine to the third power. Fourth one: M root of M to the P power. Fifth one: Square root of J to the two plus x power.
Sorry if this is wrong. I'm almost positive this is correct. The only one I'm not sure about is the third one and maybe the last one. Since there's no two there I'm not sure if it would still be called the square root.
Please help. Don’t understand
If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given in the question that:-
The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]
We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]
Now from the options, the only value which satisfies this angle is tan∅=-√3.
[tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]
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PLSS HELP ME WITH THIS 20 POINTSS!! The graph below shows a proportional relationship between 2 and 4. What is the constant of proportional y/x
Answer:
3.5.
Step-by-step explanation:
Y = kx where k is the slope of the line
k = y/x
The slope 3/5/1 = 3.5
y/x = 3.5.
I need help in 13 & 14 :((
Answer:
C and J
Step-by-step explanation:
Carmella and Carmen simultaneously left the city and drove 120 km to a nearby town. Carmella drove at a speed that was 20 km/hr faster than Carmen. If Carmella arrived in the nearby town 1 hour before Carmen, find the speed that each of them drove.
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
Speed of Carmen = 40km/h
and speed of Carmella = 60km/h
Step-by-step explanation:
Let the speed of Carmen = x km/h
Carmella speed will be (x + 20)km/h
Distance = 120 km
Time between Carmen and Carmella = 1 hour
[tex] \sf Time= \frac{distance}{speed} [/tex]
Let the time taken by Carmen be T1
and Carmella be T2
[tex] \sf So \: T_1 = \frac{120}{x} \: and \: T_2 = \frac{120}{x + 20} [/tex]
As there is 1 hour difference so
[tex] \sf T_2 - T_1 = \: 1 hour \\ \\ \\ \sf \implies \frac{120}{x } - \frac{120}{x + 20} = 1 \\ \\ \\ \sf \implies \frac{120(x + 20) - 120x}{x(x + 20)} = 1 \\ \\ \\ \sf \implies 120x + 2400 - 120x = {x}^{2} + 20x \\ \\ \\ \sf \implies 2400 = {x}^{2} + 20x \\ \\ \\ \sf \implies 0 = {x}^{2} + 20x - 2400 \\ \\ \\ \sf \implies 0 = {x}^{2} + 60x - 40x - 2400 \\ \\ \\ \sf \implies0 = x(x + 60) - 40(x + 60) \\ \\ \\ \sf \implies 0 = (x + 60)(x - 40) \\ \\ \\ \sf \implies \red{\boxed{x = 40km}}[/tex]
We have not considered 60 as it will become negative value and negative value is not possible in distance
Speed of Carmen = 40km/h
Speed of Carmella = 40 + 20 = 60km/h
Gary's daily jogging track is 0.9 miles long. In how many days will she have covered a distance of 27 miles?
Answer:
30 days.
Step-by-step explanation:
27 ÷ 0.9 = 30.
Answer:
in 30 days she will reach 27 miles.
Step-by-step explanation:
27 miles / 0.9 miles = 30 days
The dot plot shows the number of hours, to the nearest
hour, that a sample of 5th- and 7th-grade students
spend watching television each week. How do the
medians compare?
The 5th-grade range is
The 7th-grade range is
The ratio of variation of 5th grade to 7th grade is
Answer:
6 medians.
Step-by-step explanation:
because the medians of 5 and 7 is 6.
PLEASE ANSWER DUE TODAY
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Answer:
B. AA similarity postulate
If f(c) =x+7 and g(x)= 1/x-13x, what is the domain of (f circle g)(x)
Answer:
last option, {x|x≠13}
Step-by-step explanation:
(f of g)(x) means f(x) x g(x):
(x + 7) x (1 / x - 13) = (x + 7) / (x - 13)
domain is all possible x values which is the denominator, x - 13
x - 13 = 0
Interval notation: (−∞,13)∪(13,∞) this means x does not equal 13
Keep Moving! Read each problem and then, solve
1. What is the probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip?
2. What is the probability that you get an 8 when you are rolling a number cube? 3. From a letter cube (A, B, C, D, E, and F), what is the probability that a B is on top when you roll the cube?
4. Mila and 3 other applicants apply for a job. What is the probability that Mila gets hired?
The probabilities of cases 1, 2, 3, and 4 will be 1/3, 5/36, 1/6, and 1/4 respectively.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The probability is given as
P = Favorable event / Total event
1. The probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip will be
P = 1/3
2. The probability that you get an 8 when you are rolling a number cube will be
P = 5/36
3. From a letter cube (A, B, C, D, E, and F), Then the probability that a B is on top when you roll the cube will be
P = 1/6
4. Mila and 3 other applicants apply for a job. Then the probability that Mila gets hired will be
P = 1/4
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If x and y vary inversely, and y =6 when x=7, what is the constant of variation
Answer:
x alpha 1/y
: Introducing a constant k
x = k/y
where x = 7, y= 6
7 = k / 6
Cross Multiply
K ( constant) = 42
Answer: k = 42
Step-by-step explanation:
Formula = [tex]y = \frac{k}{x}[/tex]
plug in values:
6 = [tex]\frac{k}{7}[/tex]
multiply both sides by 7
k = 42
Farmer keeps 64 goats. He keeps 5 times as many cows as goats. How many cows does
keep?
The race begins at a rate of 1.5 meter per second. What distance, d, is covered after t seconds?
Slope: y-intercept:
Equation:
The distance that would be covered after t seconds = 1.5t meters
Calculation of distanceThe speed of the race=distance/time =1.5m/s
The time given = t seconds
The distance (d) = ?
From the formula of speed = distance/time, make distance the subject of formula,
distance (d) = speed×time
= 1.5×t
= 1.5t meters
Therefore, the distance covered is 1.5t meters after t seconds.
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Which doubles fact helps help you solve 5+6=11
We have to double 5 and add 1 to get the same result.
5 + 5 + 1 = 11
We can also double 6 and subtract 1 to get the same result.
6 + 6 - 1 = 11
Hope this will helpful.
Answer:
They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.
what 6+6+6+6+6+6=----------------------------
Mark brainiest
Answer:
36
Step-by-step explanation:
calculate the 6+the Other 6 together
Answer:
36
6 + 6 + 6 + 6 + 6 + 6 is the same as saying 6 × 6, because you are adding 6 to itself 6 times, which gives you 36.Someone help ASAP please !! I’ll vote Brainliest !
Answer:
2nd row
Step-by-step explanation:
The y-intercept corresponds to the ordered pair having an x-value of 0. The second row of the table has an x-value of 0, and y-value of 2. Therefore, the y-intercept is (0, 2).
Solve each equation and check your answer.
1. 2 x + 4 ( 3 − 2 x ) = 3 ( 2 x + 2 ) 6 + 4
2. 4 z + 5 = - 3 z − 8
3. 1 2 − 1 8 q = q − 1 4
Please answer correctly, will choose brainliest.
Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.
Answer:
the surface of the teachers table measures 1.5 m by 1m what is its surface area
Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal
Find the area of the given triangle.
Round your answer to the nearest tenth. Do not round any intermediate computations.
Answer: 88 units²
Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:
sinФ= opposite/hypotenuese
cosФ= adjancent over hypotneuse
tanФ= opposite/adjecent.
angle is 34
In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"
From here, we can set up this equation to find the area->
If, tanФ= opp/adj and opp= ? and adj=16tan34°*16=opp-------->≈11 unitsNow we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!
The Area of Triangle is 86.272 unit².
What is Trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Perpendicular = 16
Using Trigonometry
tan 34 = P / B
0.674 = 16/ B
B= 10.784
So, Area of Triangle = 1/2 x b x h
= 1/2 x 16 x 10.784
= 86.272 unit²
Hence, the Area of Triangle is 86.272 unit².
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You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?
Answer:
Your net pay is
[tex]$1410[/tex]
Step-by-step explanation:
All we have to do is add the deductions and then subtract them from what your earn.
[tex]1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410[/tex]
Rewrite in simplest radical form sqrt x * sqrt[4] x each step of your process
I assume the given expression is
[tex]\sqrt x \sqrt[4]{x}[/tex]
We can write each root as a rational power of x, then add the exponents:
[tex]\sqrt x \sqrt[4]{x} = x^{\frac12} x^{\frac14} = x^{\frac12 + \frac14} = x^{\frac34}[/tex]
Then putting it back into radical form, we have
[tex]\sqrt x \sqrt[4]{x} = \sqrt[4]{x^3}[/tex]
Which ratio is the same as
2/3
Answer:
8/12
Step-by-step explanation:
Which is bigger 1.47 or -1.47
Answer:
1.47 is larger
Step-by-step explanation:
the reason why it's larger is bc the negative sign shows it's below zero
Find the area of EFGH
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of triangle ABC, hence:
18 ft² = (1/2) * 3 * h
h = 12 ft
Let x represent the height of triangle EFG, hence:
x/12 = 2/3
x = 8 feet
Area of EFG = (1/2) * 2 * 8 = 8 ft²
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
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