the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
What is a Z-table?A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.
Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.
(a) The probability that a woman selected at random has blood pressures greater than 136.
[tex]P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})[/tex]
[tex]=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485[/tex]
(b) The probability that a woman selected at random has a blood pressure less than 114.
[tex]P(x < 114)= P(z < \dfrac{114-121}{9})\\\\[/tex]
[tex]= P(z < -0.77)\\\\= 0.2206[/tex]
(c) The probability that a woman selected at random has a blood pressure between 114 and 128.
[tex]P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\[/tex]
[tex]= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588[/tex]
Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
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3. It is given that the simultaneous linear equations px + 4y = 10 and qx - 2y = 1 have no solution. Express p in terms of q.
Answer:
p = -2q
Step-by-step explanation:
Given
There is no solution.
Slopes are equalpx + 4y = 104y = -px + 10y = -p/4 + 5/2qx - 2y = 12y = qx - 1y = q/2 - 1/2Equating the slopes
-p/4 = q/2-p = 2qp = -2q
Ted enters the elevator next to his office on the 10th floor. He goes up 6 floors for a meeting. After the meeting, he goes down 13 floors
to the parking garage to get something out of his car.
Which integer represents the number of floors and direction that Ted needs to travel to get back to his office?
-7
-3
+3
+7
+10
+13
Answer:
D +7
Step-by-step explanation:
Because he is first on the 10th floor, he goes up 6 to the 16th floor, he then goes down to the 3rd floor to get something. he needs to go up +7 floors to get to his office...
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
590 5. Explain how you would simplify 336
Answer:
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression or be more specific on question. even in radical expression Nothing further can be done with this topic.
336
What is the slope of this line?
Answer:
5/6
Step-by-step explanation:
The slope of a line is the number being multiplied by x.
Which dimensions can create more than one triangle? three angles measuring 25 degrees, 65 degrees, and 90 degrees three angles measuring 50 degrees, 50 degrees, and 50 degrees three sides measuring 5 in., 12 in., and 13 in. three sides measuring 4 ft, 8 ft, and 10 ft
Answer:
angles measuring 25,65, and 90 can create more than one triangle, as angles can be same it can create similar triangles.
Answer:
a
Step-by-step explanation:
PLEASE HELP ASAP!!!!!
The table below represents a function.
x
1
2
3
4
5
y
1
16
64
256
1,024
Which statement would best describe the graph of the function?
The graph is a straight line that has a slope of 8.
The graph is a horizontal line at y = 16.
The graph starts flat but curves steeply upward.
The graph is a parabola that opens upward.
Answer:
The answer is
→ C.) The graph starts flat but curves steeply upward.
Step-by-step explanation:
Explaining option C:
The quick leaps in y-coordinates indicate that it continues to travel higher up faster and faster while the x-coordinates proceed continuously.
The first choice is incorrect since the slope formula yields a value of 15 for the slope. The second choice is incorrect since it is impossible for it to be a horizontal line unless x = 0, which it is not because it equals 2. The last choice is incorrect because, rather of continuously increasing in size, a parabola function begins to decrease in size (the vertex would be visible in the function if this was a parabola.)
Therefore, Option C.) The graph starts flat but curves steeply upward is your answer.
Hope this helped! :^)
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Submitted on 4/20/2022 at 12:45 PM
(To avoid plagarism, by users whom decide to copy.)
Please help me. This is the 30°-60°-90° Triangle Theorem.
Answer:
Tan30° = 4/y
Tan30° = 1/root3
Therefore 4/y = 1/root3
Which gives the value of y 4root3
Which is 6.92 (approx)
As for x
Sin30 =4/x
1/2=4/x
X=8
Please Helppppppppppp
Step-by-step explanation:
[tex](6 + 5 + 5) \times 7 = 112[/tex]
Please help This is my last question.
Answer:
Points A and B are not on the unit circle.
Step-by-step explanation:
Recall that a "unit circle" has a radius of 1, and so if x² + y² ≠ 1, the point is not on a unit circle.
In A we apply the Pythagorean Theorem as follows: 1² + 1² = 2 ≠ 1.
Therefore, point (1, 1) is not a point on the unit circle.
In B: if we square the x and y components and add these squares together, we get 3/4 + 1/9, which does not equal 1. Point not on unit circle.
In C, we get 4/9 and 5/9, which eqals 1. This point C lies on the unit circle.
In D, we get 0.64 + 0.36 = 1, so this point does lie on the unit circle.
Thus: not on unit circle: A(1, 1), B(√3/2, 1/3)
On unit circle: D(0.8, -0.6), C(-2/3, √5/3)
Find the area of each shaded region.
Invest $8000 into an account earning 7% interest compounded continuously what will the balance be after 5 years
Marianna runs 1.2 km.
Ian runs 25% further than Marianna.
Work out how far Ian runs.
Give your answer in metres
Fraction are ratios of two integers. Lans have covered 1.5km if he ran 25% further than Marianna.
Ratio and proportionFraction are ratios of two integers. Given the following parameters
Total distance covered by Marianna = 1.2km
If Ian runs 25% further than Marianna, the total distance covered by lan is expressed as:
Total distance covered by Lan .= 1.25 * 1.2
Total distance covered by Lan = 1.5km
Hence Lans have covered 1.5km if he ran 25% further than Marianna.
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A naval engineer uses the function, P. to analyze the effects of water pressure on submarines. The
function P(d) measures the pressure exerted by water, where d represents the depth of water in
meters. Which of the following would be a possible domain?
Answer:
The domain of a function is the possible input values, the function can take.
The possible domain is:
The domain of the function is the set of possible values of d.
Because d represents the depth of water,
The starting value can take any value, less than 0
But the end value must be 0 (i.e. the surface of water)
This means that, the domain of the function will be from negative infinity to 0
Hence, the domain is (-infinity, 0}
Step-by-step explanation:
The exchange rate between non-fixed currencies continuously fluctuates. the table below shows the exchange rate of the us dollar to the euro over the course of six days. day $:€ monday 1:0.7102 tuesday 1:0.7053 wednesday 1:0.6869 thursday 1:0.6910 friday 1:0.7273 saturday 1:0.7544 if rodney traded €228.75 for $314.52, when did he make his exchange? a. saturday b. friday c. thursday d. tuesday
Answer:
b friday
Step-by-step explanation:
I did 228.7t divided by 314.52 which gave me 0.7273
He make his Exchange on Friday.
The correct option is B.
What is Exchange Rate?A currency's relative value expressed in terms of another currency is called an exchange rate (or group of currencies). The exchange rate is a significant economic variable for nations with active international trade, like Australia.
In other words, the exchange rate is the cost of one currency relative to another.
We have,
Day $ €
monday 1 0.7102
tuesday 1 0.7053
wednesday 1 0.6869
thursday 1 0.6910
friday 1 0.7273
saturday 1 0.7544
b friday
So, 228.7 / 314. 52
= 0.7273
Thus, he exchanges on Friday.
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PLS HELP ASAP
[tex]15x^2 +9[/tex]
What are the coefficients
coefficient a =
coefficient b =
coefficient c =
Answer:
a = 15
b = 0
c = 9
Step-by-step explanation:
Given:
[tex]\displaystyle \large{15x^2+9}[/tex]
To find:
values of a, b and cQuadratic Expression:
[tex]\displaystyle \large{ax^2+bx+c}[/tex]
Compare coefficients:
[tex]\displaystyle \large{ax^2+bx+c=15x^2+0x+9}[/tex]
Therefore, compare like terms as we get:
a = 15b = 0c = 9Therefore, your answer is a = 15, b = 0, c = 9
Find the difference.
k/k2 − 9k + 20 − 5/k2 − 9k + 20
A.
k − 5/k − 4
B.
1/k + 4
C.
1/k − 4.
D.
k − 5/0
Answer:
Option C
Step-by-step explanation:
Check the attached photo.
Principal Howard ordered 116 shirts from the Brand Blast custom clothing shop for his
staff members to wear during the school's spirit week. Since this was a bulk order, Brand
Blast reduced the price of each shirt by $5. Principal Howard paid $928 in all. How much does
Brand Blast normally charge for a shirt?
The Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Let's suppose the normally Blast charge $x for each shirt
So according to the problem:
116(x-5) = 928
x = $13
Thus, the Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.
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Can anyone give me the awnser to this?
Answer:
310.5 mg
Step-by-step explanation:
The amount per pound would be
156 mg / 104 lb then multiply this by the pounds of the second pt
156 mg /104 pound * 207 pound = ~ 310.5 mg
Find the ratio:
156mm / 104lbs = 1.5mm per pound
207mm /1.5mm per lb = 138 pounds
answer: 138 pounds
can anyone help me with this? no links
Answer:
10/17
Step-by-step explanation:
Each card has two parts. A top part and bottom part. On the top parts of all the cards, there's a simple pattern of adding 2 to the previous number each time. On the bottoms of the cards, you have to add 3 to a number to get to the next number in line. Therefore, take the 4th card (8 on top 14 on bottom) and add a 2 to the top number and a 3 to the bottom number to get the next card in the pattern.
8 + 2 = 10
--- ---
14 + 3 = 17
So card 5 is
10 / 17
4. Find the measures of the acute angles of a right triangle whose legs are 9 cm and 16 cm long.
Answer:
Apply tan x=9/16 and tan y=16/9 to get the two angles x and y, and you'll receive the solution.
HELP MEEEEEE Three Dimensions
Question 1 of 9
Which of the following statements are true about the figure above?
Check all that apply.
E A. It is a three-dimensional object.
E
B. It is a point.
0 C. It has three measurements.
Maths 10 min tax problem. I started it but I have no idea what I’m doing
Answer:
€ 2932.54
Step-by-step explanation:
Rate of interest for income upto 12012 = 0.5 %
Interest = 0.5% *12012
=0.05 *12012
= € 60.06
Rate of interest for income between 12012.01 to 19874 = 2%
Interest = 2% * 19874
= 0.02 * 19874
= € 397.48
Rate of interest for income between 19874.01 to 70044 = 4.5%
Interest = 0.045 * 55000
= € 2475
Anna's USC for the year = 60.06 + 397.48 + 2475
= € 2932.54
the diagram shows a right-angled triangle ABC and a circle. A, B and C are points on the circle AB is a diameter of the circle AB = 10cm, AC = 6cm, BC = 9cm. Give your answer correct to 3 significant figures.
Step-by-step explanation:
question not complete
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1. In the given figure. BEST is a cyclic quadrilateral. ES is produced so that BE=SN. If ET is the bisector of angle BES, prove that NET is an isosceles triang.
The triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral.
How to determine the existence of an isosceles triangle
In this question we must apply geometric properties of angles and triangles to determine that the triangle NET is an isosceles triangle. Isosceles triangles are triangles with two sides of equal length. In addition, we must apply the geometric concept of proportionality.
Now we proceed to prove the existence of the isosceles triangle:
BE ≅ SN GivenET is the bisector of ∠BES GivenET/ES = ET/EB Definition of proportionalityES = EB (3)ES ≅ EB Definition of congruenceET ≅ TN SSS Theorem/ResultTherefore, the triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral. [tex]\blacksquare[/tex]
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help me please,,,,,,,
Answer:
C
Step-by-step explanation:
[tex]x + y = 180 \\ 140 + x = 180 \\ x = 180 - 140 \\ x = 40[/tex]
what adds to make 16 but multiplies to make 63
Answer:
9 and 7
Step-by-step explanation:
[tex]9+7=16[/tex]
[tex]9*7=63[/tex]
PLEASE HELP I NEED THIS ASAP w/ explanation if you can
(will give brainliest)
Tell us this if you have a job or allowance how much do you take home per week? need help!
PLEASE HELP!!
Mrs. Chase hired a landscaping service to plant a row of bushes around her triangular backyard. If the bushes
must be planted 3 feet apart,
approximately how many bushes are needed for the backyard? (4 points work,
1-point final answer)
12 ft
30 ft
Answer:
12ft
Step-by-step explanation:
Sam is ordering shirts online. The shipping is a flat rate of $5.99, and each shirts costs $12.50. He spent $80.99 in total. How many shirts did he order
Based on the shipping rate and the price of the t-shirts, it can be concluded Sam ordered a total of 6 t-shirts.
What equation represents Sam's situation?5.99 + x12.50 = 80.99
x represents the number of t-shirts she bough, which is the focus of the equation.
Let's solve it:
5.99 + x12.50 = 80.99x12.50 = 80.99 - 5.99x12.50 = 75x = 75 / 12.50x = 6How many t-shirts did Sam order?Sam ordered 6 t-shirts.
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