Using the normal distribution, it is found that 84 people would be expected to have BP > 160.
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 for the BPs are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The proportion of adults with BP > 160 is given by one subtracted by the p-value of Z when X = 160, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 122}{22}[/tex]
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
1 - 0.9582 = 0.0418.
Out of 2000 people:
0.0418 x 2000 = 83.6.
Rounding to the nearest integer, 84 people would be expected to have BP > 160.
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Factor completely.
5x² + 25x + 20 =
Answer: 5(x + 1)(x + 4)
Step-by-step explanation Tell me if it is wrong
Enter the coordinates of the point on the unit circle at the given angle. 120°
The coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
What is the polar equation?A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.
We have an angle of 120 degree
θ = 120 degree
r = 1 unit
As we know, the coordinate in the polar form from the rectangular form is:
x = rcosθ = cos120 = -1/2
y = rsinθ = sin120 = √3/2
Thus, the coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
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If Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total interest is 281 how much invested is in each savings account
Answer:
5% account = $1,240
10% account = $2,190
Step-by-step explanation:
Let's assume the amount of savings in the 5% account is x.
Thus the amount of savings in the 10% account is (x + $950).
We can write the following equation from the interest amount:
[5% x ] + [10% (x + $950)] = $281
5%x + 10%x + $95 = S281
15%x = $186
x = $1,240
There is $1,240 in the 5% account
Therefore, on the 10% account there is $1,240 + $950 = $2,190
11. What is the equation of the median-median line for the dataset in the table?
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
The equation of the median-median line for given data will be y = 3x + 10. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The data set in the table is given below.
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
For the above after dividing the above data into 3 parts of the set (3,4,3)
Then the equation of the median-median line for given data will be
y = 3x + 10
Then the correct option is A.
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Which three side lengths best describe the triangle in the diagram?
Answer:
Option C . 6 cm , 8 cm and 10 cm
Step-by-step explanation:
Question : Which three side lengths best describe the triangle in the diagram?
Solution :As we can clearly see measurement of the scale [ refer to attachment ]
In Triangle ABC
AC = 6 cm CB = 10 cmAB = 8 cmTherefore option C is Correct.
PLEASE HELP 15 POINTS!!!
Sequence: 24 + 12 + 6 + 3 +...
Explanation:
This is infinite geometric series converges.
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify the following
a1 = 24r = 12 ÷ 24 = 1/2Solve:
[tex]\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]
[tex]\rightarrow \sf S \infty \ =48[/tex]
This is series has a sum of 48.
In a recent survey of gun control laws, a random sample of 1000 women showed that 65% were in favor of stricter gun control laws. In a random sample of 1000 men, 60% favored stricter gun control laws. Construct a 95% confidence interval for p1 − p2.
Answer:
[tex]CI\approx\{0.0076,0.0924\}[/tex]
Step-by-step explanation:
The formula for a z-confidence interval for a difference of proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}[/tex]:
Let [tex]\hat{p}_1=0.65[/tex] to represent the sample proportion of [tex]n_1=1000[/tex] women who are in favor of stricter gun control laws and let [tex]\hat{p}_2=0.60[/tex] to represent the sample proportion of [tex]n_2=1000[/tex] men who are in favor of stricter gun control laws.
A 95% confidence level corresponds to a critical value of [tex]z^*=1.96[/tex], so now we perform the necessary calculations assuming conditions are met:
[tex]\displaystyle CI=(0.65-0.60)\pm 1.96\sqrt{\frac{0.65(1-0.65)}{1000}+\frac{0.60(1-0.60)}{1000}}\approx\{0.0076,0.0924\}[/tex]
Hence, we are 95% confident that the true difference in the proportion of women and men who favor stricter gun control laws is between 0.0076 and 0.0924
Since the interval does not contain "0" and only contain values greater than "0", it is more likely that the proportion of women who were in favor of stricter gun control laws is higher than the proportion of men who were in favor of stricter gun control laws.
i need help finding the orignal price
Pls tell how did she get
1.15m il will marke brainliat
Answer:
Step-by-step explanation:
1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m
:)
please help me!! I’m bad at math!!
Answer:
50.24
-
And, you're not bad at math! You goot this correct! :)
Step-by-step explanation:
c=25.12
we can use this to find the raidus!
-
plug it back into the circumference formula first.
c=(pi)(d)
25.12=3.14*d
divide both sides by 3.14!
d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!
-
now we plug it into the area of a circle formula.
π · r2
3.14 * 4^2
3.14*16
50.24
rewrite the equation in Ax+By=C form. use intergers for A,B,C
y=1/5-1
Answer:
[tex]5y=-4[/tex]
Sure hope this helps you :D
solve quadratic 2x^2 -7 +6 =0
Answer:
Assuming you meant 2x^2-7x+6=0,
the answer is x=2, x=1.5
Use the quadratic formula. (-b (+ or -) sqrt(b^2 - 4ac) )/ (2a)
3f–4g=1
6f–6g=5
use the elimination method
Please solve (17 points)
Answer:
50.6
Step-by-step explanation:
2. Which theorem would show that x = 5 in the diagram?
Answer:
Midsegment theorem for Traoezoids
Step-by-step explanation:
I hope it helps you
Solve the following inequality for x.
-5x < -15x + 40
A.
x > -2.00
B.
x > 4
C.
x < 4
D.
x < -2.00
[tex]~~~~~~-5x < -15x +40\\\\\implies -5x +15x < 40\\\\\implies 10x < 40\\\\\implies x < \dfrac{40}{10}\\\\\implies x < 4\\\\\text{So, the answer is C.}[/tex]
Answer:
The answer will be C X < 4 okay thanks
Choose the correct measurement of the scissors to the nearest inch.
10.4 sides polygon with 2 sides of parallel sides. What type of polygon is it?
Answer:
Here is the answer:
Step-by-step explanation:
An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
Find the greatest common factor.
7x³a +7x²a²
Enter the correct answer.
Answer:
7x²a(x + a)
Step-by-step explanation:
7x³a = 7 * x * x * x * a
7x²a² = 7 *x * x * a *a
Common factor = 7x²a
So we have to take the common factor from the two terms
7x³a + 7x²a² = 7x²a ( x + a)
Does (84,-7) has one, two or no solution?
Answer:
No sollution
Step-by-step explanation:
It simple
Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10
Answer: (x +7)^2 +(y +6)^2 = 9
Step-by-step explanation:
The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)
For (h, k) = (-7, -6) and r=3, your circle is ...
(x -(-7))^2 +(y -(-6))^3 = 3^2
(x +7)^2 +(y +6)^2 = 9
i hope this helps btw i did not copy n paste l got 100% on this
If triangles CBA and RQP are similar, what can you say about the ratios of their corresponding
sides? Write the proportions.?
Answer:
here you go..............
How can you tell whether two graph functions
represent inverse functions or not?
Answer:
If is not one to one is not inverse (no inverse)
Step-by-step explanation:
What expression represents the volume of the cylinder, in cubic units?
Answer:
2πx3
Step-by-step explanation:
What is the distance between (-5, 2) and (-1, 6). Round to the nearest tenths if necessary. You can either graph it or use the distance formula below.
Answer:
Hope the picture will help you........
PLEASEEEEE HELPPP MEEEEEE
Answer:
(4:-4)
Step-by-step explanation:
the graphs y- axis starts at 4 and ends at -4
Multiple Choice Find AD and ED for parallelogram ABCD.
A) AD = 13
B) ED = 13
C) ED=9
D) ED = 16
E) AD = 9
F) AD = 16
Answer: A, C
Step-by-step explanation:
Diagonals of a parallelogram bisect each other, so [tex]4x-7=2x+1 \longrightarrow x=4[/tex]. So [tex]ED=4(4)-7=\boxed{9}[/tex].
Opposite sides of a parallelogram are congruent, so [tex]8y-3=3y+7 \longrightarrow y=2[/tex], so [tex]AD=8(2)-3=\boxed{13}[/tex]
Two arithmetic means between 3 and 24 are -
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
What is arithmetic mean?Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
[tex]t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}[/tex]
The second and 3rd term are:
[tex]A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}[/tex]
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
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Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10
Answer: x < 5 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]
x < 5 [tex]\frac{2}{5}[/tex]
graph is attached
You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 10 years?
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in the account after 10 years is $651.56.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
The principal amount is $400 which is invested for a period of 10 years at an interest rate of 5% annually. Therefore, the amount in the account after 10 years will be,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = \$400 (1+ \dfrac{0.05}{1})^{1 \times 10})\\\\A=\$651.56[/tex]
Hence, the amount that will be in the account after 10 years is $651.56.
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