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Complete Question
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of 12.5 beats per minute. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.)
Answer:
0.3688
Step-by-step explanation:
The formula for calculating a z-score when given a random sample of numbers is is z = (x-μ)/σ/√n
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
mean = 76.0 beats per minute and a standard deviation = 12.5 beats per minute.
n = number of random samples = 1
For 70 beats per minute
z = 70 - 76/12.5/√1
z = -0.48
Probability value from Z-Table:
P(x = 70) = 0.31561
For 82 beats per minute.
z = 82 - 76/12.5/√1
z = 0.48
Probability value from Z-Table:
P(x = 82) = 0.68439
The probability that her pulse rate is between 70 beats per minute and 82 beats per minute.
P(x = 82) - P(x = 70)
0.68439 - 0.31561
= 0.36878
≈ 0.3688
Is 60N Cold or hot
Answer:
It is warm.
Step-by-step explanation:
Let z = 1 + 3i and w = -3 - 4i.
Use the drop down menus to complete the statements.
The sum z + w is equal to - -i
The sum w + z is equal to - 2 - i
The result supports that complex number addition is
Step-by-step explanation:
z+w= 1+3i-3-4i = -2-i
w+z=-3-4i+1+3i = -2-i
So, z+w = w+z
So, complex number addition is commutative
If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
What is commutativity property of addition?We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.
How to solve it ?Here z = 1 + 3i and w = -3 - 4i.
Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i
and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i
i.e. z + w = w + z
Clearly, the addition obeys the commutative property.
Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
Learn more about the commutative property here -
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Solve the formula d = rt for t.
A. t=d/r
B. t= rd
c. t= r/d
D. t= d-r
Answer:
A,t=d/r
Step-by-step explanation:
if d=rt t=?
d/r=rt/r (to get alone t we devided by r on both sides)
d/r=t
i think it is clear
&i hope it helps you
HELP MEE ;-;
2/3a - 7= 1/3 Round your answer to the nearest tenth.
Answer:
a=11
Step-by-step explanation:
Answer:
a = 11
Step-by-step explanation:
find the perimeter of a circle whose diameter is 12.6 cm please help and show working
Answer:
39.584034 cm
Step-by-step explanation:
Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.
I used 3.14159 as pi.
work:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
Does anyone know this answer
5. A Ferrari gets 14 miles per gallon of gas. Gas costs $3.18 per gallon. If the Ferrari's gas
tank holds nineteen gallons, and assuming the tank was empty, how much would it cost to fill
the tank and how far could the Ferrari go before it ran out of fuel?
Answer:
44.52
Step-by-step explanation
You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?
Answer:
a) The store which provides the lowest total costs is:
True Builders
b) The cost without sales tax is:
$407.48
Step-by-step explanation:
Data and Calculations:
Product Quantity True Builders Quality Suppliers
Price Costs Price Costs
Bricks 120 $2.20 $264.00 $2.25 $270.00
2 x 4 boards 40 ft $0.75 30.00 $0.70 28.00
1 x 6 boards 120 ft $0.60 72.00 $0.65 78.00
2 x 6 boards 30 ft $0.80 24.00 $0.80 24.00
Paint 2 gal. $15.50 31.00 $11.25 22.50
Paint Brushes 2 $7.50 15.00 $9.75 19.50
Total costs $436.00 $442.00
Imputed Sales Tax of 7% 28.52 28.92
Without Sales Tax $407.48 $413.08
Answer:
Quality Supplies 442.00
Step-by-step explanation:
Who likes sushi?!?!?!
Answer:
I do :)
Step-by-step explanation:
Lol I usually get the crunchy roll
Please answer this correctly without making mistakes
Answer:
This is what internet says. Maybe this helps.
The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____
Answer: left, down
Hope this helps.
Ok so If and anchor descends -17.5 meters down in the ocean in 5 seconds, how much does it descend in 1 second?
Can y’all help plzzzzz
1.
m
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
A. 24 and 26
a.
Corresponding Angles
HA
B. 25 and 28
b.
?
Same-Side Interior Angles
C. Z2 and 26
c.
?
Alternate Interior Angles
D. 24 and 25
d. ?
Vertical Angles
The matching is as follows:
1. <4 and <6 ------> same- side interior angle
2. <5 and <6 ------> vertical angles
3. <2 and <6 ------> corresponding angle.
4. <4 and <5 ------> alternate interior angle
What are properties of parallel lines?Properties of Parallel Lines
The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.Now, from the figure
1. <4 and <6 shows the relationship of same- side interior angle
2. <5 and <6 shows the relation of vertical angles
3. <2 and <6 shows the relation of corresponding angle.
4. <4 and <5 shows the relation of alternate interior angle
Learn more about parallel line here:
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A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below what is the students error?
Answer:
Well the weight is
Step-by-step explanation:
4.53592 kilos
Answer:
4.535924 kilograms
Step-by-step explanation:
1 ounce = 0.02834952 kilogram
160 * 0.02834952 = 4.535924
what is the value of x
х = 0/4
Answer:
0
Step-by-step explanation:
0 divided by anything is 0
What is:
6t-2/4 + 4 (t+1) when t=5
Answer:
2 /20t+7
Step-by-step explanation:
Solve the following 3x + 7 = 2x + 13 over 3
Answer:
3x+7=2x+13 over 3
3 (3x )+3 (7)=2x +13 over 3×3
9x+21=2x +13
9x- 2x=13-21
7x=-8
x=8/7
Step-by-step explanation:
Step 1:Multiply both sides by the denominator
Step 3:Group like terms
Step 5: Divide both sides to find for x
In the figure, mZ2 = 3(x+15) and m23 = 24°. Find x.
3
5
6
8
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x+15)*23-(24)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3 • (x + 15) • 23) - 24 = 0
STEP
2
:
Equation at the end of step 2
69 • (x + 15) - 24 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
69x + 1011 = 3 • (23x + 337)
Equation at the end of step
4
:
3 • (23x + 337) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 23x+337 = 0
Subtract 337 from both sides of the equation :
23x = -337
Divide both sides of the equation by 23:
x = -337/23 = -14.652
Step-by-step explanation:
5 + 5 + 5 + 5 + 220+ 30004
Answer:
30244
Step-by-step explanation:
can someone answer plzzzz
Answer:
6,882,000 miles
Step-by-step explanation:
PLEASE HELP WITH THIS WILL GET EXTRA POINTS
Answer:
1.2
2.4
3.6
4.8
5.9
6.4
7.3
8.6
Step-by-step explanation:
Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?
Answer:
20
Step-by-step explanation:
165 divided by 8.25 is 20.
Answer:
20 hrs
Step-by-step explanation:
Just divide $165 by $8.25
Hope this helps!
1/4(-16x+8)? simplify or expand the expression
Answer:
-4x+2
Step-by-step explanation:
Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red
Answer:
He has had a quarter of the red one
Step-by-step explanation:
3/12 is 1/4 when simplified
If Jan is 3 years older now than Dale was 2 years ago, then Jan is how many older than Dale is right now.
A) 1 year
B) 2 years
C) 3 years
D) 5 years
In order to test for the significance of a regression model involving 5 independent variables and 123 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are
Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
Step-by-step explanation:
We know that , for critical value of F, degrees of freedom for numerator = k-1
and for denominator = n-k, where n= Total observations and k = number of independent variables.
Here, Numbers of independent variables(k) = 5
Total observations (n)= 123
So, Degrees of freedom for numerator = 5-1=4
Degrees of freedom for denominator =123-5= 118
Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
José correctly answered 80% of the
questions on a language arts quiz. If he
answered 16 questions correctly, how ma
questions were on the language arts quiz
Answer:
20
Step-by-step explanation:
80% needs 20% more to be 100% so we devide 16 by 4 to get the awnser for 20% witch is 4 so 16+4 is equal to 80% + 20% so 20
Answer:
20
Step-by-step explanation: 16 you need to 2 more question to get 100 so if you use your brain and imagine doing a test and you get an 80 percent and answered 16 correct go back to the test to see what you have
What is the sum of the expression (8- 4 i) + (-2+7i)?
Answer:
The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Step-by-step explanation:
In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is
(a + bi) + (c + di) = (a + c) + (b + d)i
Let us use this fact to solve our question
∵ The complex numbers are (8 - 4i) and (-2 + 7i)
∴ Their sum = (8 - 4i) + (-2 + 7i)
∵ The real parts are 8 and -2
∵ 8 + -2 = 8 - 2 = 6
∴ The sum of the real parts is 6
∵ The imaginary parts are -4i and 7i
∵ -4i + 7i = 3i
∴ The sum of the the imaginary parts is 3i
∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i
∴ (8 - 4i) + (-2 + 7i) = 6 + 3i
∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Can someone plz plz help me with the last 2 problems #5 and #6
i believe your answers would be
1/2c+7 and 2H-9
what is th nth term of 4 1 -2 -5 -8
Answer:
-3
Step-by-step explanation:
Answer:
here:- a=4; d:- (1-4)=(-2-1)=>-3
so, nth term= a+(n-1)d
=> 4+(n-1)-3=>4-3n+3=>7-3n
Step-by-step explanation:
nth term=(7-3n)