Answer:
1. z = -1.91429
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. 2.7792%
Step-by-step explanation:
1. Relative to the WHO data, what is this girls z-score?
z score formula is:
z = (x-μ)/σ, where
x is the raw score = 44.5 cm
μ is the population mean = 47.18cm
σ is the population standard deviation = 1.40cm
z = 44.5 - 47.18/1.40
z = -1.91429
What does the z score tell us?
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
z score = -1.91429
Probability value from Z-Table:
P(z =-1.91429) = P(x<44.5) = 0.027792
Converting to percentage = 0.027792 × 100
= 2.7792%
the sum of twice a number and three is 21
Answer:
9
Step-by-step explanation:
9+9+18
18+3=21
after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50
PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48
A. 6(6+8)
B. 4(9+12)
C. 12(3+4)
D. 2(18+24)
Please help me with these 5 questions
Answer:
4. 85
5. 23.9
The rest are correct
Which equation is represented by the graph below?
Answer: 2/3 x +6
Step-by-step explanation:
slope is 2/3 and y intercept is 6
The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation:
Select the correct answer from each drop-down menu.
(both drop down menues are (1 , 2 )
Answer:
the answer to graph one is 1 and the second one answer is 2
Step-by-step explanation:
the other guy made it a hassle for no reason
The graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function
What are graphs?Graphs are the visual way of representing functions and equations
For a graph to represent a function, then the graph of the function must pass the vertical line test
Graph 1 will pass the vertical line test, while graph 2 will not
Hence, the graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function
Read more about functions and relations at:
https://brainly.com/question/10283950
(17) 60% of what is 24?
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
Solve the system using substitution. 5x-y=73 and 2y=x
Answer:
Point form:( [tex]\frac{146}{9} \\\\[/tex], [tex]\frac{73}{9}[/tex])
Equation form: x= [tex]\frac{146}{9}[/tex], y= [tex]\frac{73}{9}[/tex]
Step-by-step explanation:
Plz mark brainliest.
Craig has made 60% of 80 free throw attempts this season. How many free throws has he made
Answer:
Step-by-step explanation:
80*60%= 48 free throws were made
Answer: 48
Step-by-step explanation:
80x 0.01=0.8
0.8x 60=48
can someone help asap!!:)
One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
9514 1404 393
Answer:
5 and 15
Step-by-step explanation:
Let x represent the smaller number. Then the larger is x+10. The sum is ...
2x +3(x+10) = 55
5x +30 = 55
5x = 25
x = 5
The two numbers are 5 and 15.
__
Check
2·5 + 3·15 = 10 +45 = 55
What is 0.74 + (-3/5)
Answer:
It equals 0.14
Step-by-step explanation:
How many of you guys think Into The Night by Bath & Body Works is really masculine?
Answer:
I think it smells like a grandma but a strong one but it also smells good a little
Step-by-step explanation:
five hundred fifty five divided in five
Answer:
Well I'm not sure if its a joke but here is the answer anyways LOL Its 111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
If you think about it, 5 ÷ 5 = 1
So all the digits are 1
111
(Plus I just used a calculator)
Hope I helped :)
Use the slope-intercept form to graph the equation y=3/7x+3
Answer:
here you go
Step-by-step explanation:
Please answer this question shown in the picture! Thank you soooo much if you do! ;w;
Answer:
3.07 . 10^8.
Step-by-step explanation:
2.3 . 10^8 + 4.7 . 10^7
= 230,000,000 + 77,000,000
= 307,000,000
= 3.07 . 10^8.
Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
Which equation describes the line with slope 5, that contains the point (-2, 4)?
a: y = 5x - 22
b: y = 5x - 2
c: y = 5x + 4
d: y = 5x + 14
Answer:
C
Step-by-step explanation:
Answer:
D.) y=5x+14
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
y1=4, m=5, x1=-2
y-4=5(x+2)
distribute 5
y-4=5x+10
add 4 to both sides
y=5x+14
Find 4+(−1 2/3). Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{7}{3}[/tex]
I hope this helps!
Answer:
2 1/3
Step-by-step explanation:
help pls i’ll give out extra points
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
Please mark Brainliest!
Luis bought stock at $63.30. The next day, the price increased $12.80. This new price changed by −6 3/4% the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable? Complete the explanation.
solve for w and simplify this fraction 3/2w=-20
Answer:
4 2/3
Step-by-step explanation:
Answer:
w = -1.3 (.3 repeating)
Step-by-step explanation:
3/2w = -20
3/2w time 2/3 (flip to get rid of fraction)
- 20 time 2/3 (what you do to one side, you must do to the other side)
w = 1.3 (.3 repeating)
1.3 as a fraction is 4/3
2.5kg of potatoes cost £1.40
Work out the cost of 4.25kg of potatoes
Step-by-step explanation:
2.5kg=£1.40
4.25kg= x
do cross multiplication
2.5x = 5.95
x=£2.38
Answer= £2.38
How can ΔABC be mapped to ΔXYZ?
First, translate vertex A to vertex
.
Next,
ΔABC to align the sides and angles.
Answer:
X
Rotate
Step-by-step explanation:
correct on edge 2020
Answer:
a. x
c. rotate
Step-by-step explanation:
edge2021 :)
HELP I HAVE TEN MINUTES!!!!!
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I don’t understand this please help
Answer:
2
Step-by-step explanation:
The answer is "The graph is incorrect. He should have shaded ro the right"
Plz help with the math question
Answer:
the answer is 20
Tessa invests $5400
$
5400
in a new savings account which earns 5.2%
5.2
%
annual interest, compounded monthly. What will be the value of her investment after 8
8
years? Round to the nearest cent.
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Hamid has gained weight.
He now weighs 88kg, whish is higher than his normal weight
What is Hamid's normal weight?