Answer:
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Inadequate intake
Event B: Is 11 to 13 years old.
48% are 11 to 13 years of age.
This means that [tex]P(B) = 0.48[/tex]
For those who are 11 to 13 years of age, 54% have inadequate calcium intake.
This means that [tex]P(A|B) = 0.54[/tex]
Probability of inadequate calcium intake:
0.17 of 0.52(5 to 10 years old)
0.54 of 0.48(11 to 13 years old). So
[tex]P(A) = 0.17*0.52 + 0.54*0.48 = 0.3476[/tex]
Find the probability that a child from this population who has inadequate intake is 11 to 13 years old.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.48*0.54}{0.3476} = 0.7457[/tex]
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
Michelle deposited $3,400 into an account. She made no additional withdrawals or deposits. Michelle earned 1.95% annual simple
interest on the money in the account
What was the balance in her account at the end of 2.5 years?
Enter the amount in the account in the box.
$_______
Answer: 96 cents or 0.96
Step-by-step explanation:
When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96
The balance in her account at the end of 2.5 year should be considered as the $3,568.
Calculation of the balance in the amount:Since deposited amount si $3,400
The interest rate is 1.95%
And, the time period is 2.5 years
So, here the balance should be like
[tex]= 3400 \times (1 + 1.95\%)^{2.5[/tex]
= $3,568
hence, The balance in her account at the end of 2.5 year should be considered as the $3,568.
Learn more about interest rate here: https://brainly.com/question/24002393
Given the equitation 3x+6x=30. What is the slope and y intercept.
Answer:
slope-5/3-1 2/3
y-intercept=-2
Step-by-step explanation:
hope that helps if correct please mark as brainliest thank you
19NBoli
Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
M
P Р
O
1
23
51.6
38
N
Answer:
[tex]NO= 31.2[/tex]
Step-by-step explanation:
See attachment for triangle
From the attachment, we have:
[tex]KL = 51.6[/tex]
[tex]LM= 38[/tex]
[tex]OP = 23[/tex]
Required
Find NO
This will be calculated using the following equivalent ratios:
[tex]NO : OP = KL : LM[/tex]
This gives:
[tex]NO : 23= 51.6: 38[/tex]
Express as fraction
[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]
Make NO the subject
[tex]NO= \frac{51.6}{ 38} * 23[/tex]
[tex]NO= \frac{51.6* 23}{ 38}[/tex]
[tex]NO= \frac{1186.8}{ 38}[/tex]
[tex]NO= 31.2[/tex] --- approximated
Answer:
x≈ 16.9
Step-by-step explanation:
wuestions
(a) An angle measures 51°. What is the measure of its supplement?
(b) An angle measures 27°. What is the measure of its complement?
Answer:
a - 129
b - 63
Step-by-step explanation:
for a - supplementary angles add up to equal 180
so to find the measure of its supplement we subtract the given angle from 180 180-51=129
so the measure of a supplement angle is 129
for b - complementary angle add up to equal 90
so to finds the measure of its complement we subtract the given angle from 90
90-27=63
so the measure of its complement is 63
Answer:
(a) An angle measures 51°. the measure of its supplement=180-51=129°
b) An angle measures 27°. the measure of its complement=90-27=63°
HELLPP PLSS ASAPP!! THANKSS
Answer:
12
Step-by-step explanation:
Answer:
[tex]12[/tex]
Step-by-step explanation:
1) Simplify 4² to 16.
[tex] \frac{ - \frac{1}{3} \times - 33 - \frac{1}{2} \times 16 }{ \frac{1}{4} } [/tex]
2) Move the negative sing to the left side.
[tex] \frac{ - ( - \frac{33}{3}) - \frac{1}{2} \times 16 }{ \frac{1}{4} } [/tex]
3) Simplify 33/3 to 11.
[tex] \frac{ - ( - 11) - \frac{1}{2} \times 16 }{ \frac{1}{4} } [/tex]
4) Simplify 1/2 × 16 to 16/2.
[tex] \frac{ - ( - 11) - \frac{16}{2} }{ \frac{1}{4} } [/tex]
5) Simplify 16/2 to 8.
[tex] \frac{ - ( - 11) - 8}{ \frac{1}{4} } [/tex]
6) Remove parentheses.
[tex] \frac{11 - 8}{ \frac{1}{4} } [/tex]
7) Simplify 11 - 3 to 8.
[tex] \frac{3}{ \frac{1}{4} } [/tex]
8) Invert and multiply.
[tex]3 \times 4[/tex]
9) Simplify.
[tex]12[/tex]
Therefor, the answer is 12.
Math hard
Question: Which of the following number sentences is an example of the commutation property of multiplication?
A:27+3=3+27
B:4x5=10x2
C:18x1=1x18
D:2x(9x14)=(2x9)x14
Answer:
C:18x1=1x18
when multiplying 2 numbers, the result is the same in either order.
what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.
Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)
Step-by-step explanation:
please give me the answer
Solve each inequality.
1. 5x + 2 <17
Answer:
x<3
Step-by-step explanation:
5x+2<17
Subtract 2 from both sides.
5x<17−2
Subtract 2 from 17 to get 15.
5x<15
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x=15/5
Divide 15 by 5 to get 3.
x<3
Solve the following equation. Then place the correct number in the box provided.
Answer:
x ≤ 6
Step-by-step explanation:
2x-1 ≤ x+5
Subtract x from each side
2x-x-1 ≤ x-x+5
x-1 ≤ 5
Add 1 to each side
x-1+1 ≤ 5+1
x ≤ 6
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
Answer:
$58+8.40=$66.4
Step-by-step explanation:
choose the scatter plot in which the outlier is highlighted
Answer:
its the second graph top right
Step-by-step explanation:
an outlier is a point that deviates from the rest
A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.
Required:
Was this a reasonable decision?
Answer:
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
Step-by-step explanation:
90% confidence interval
larger sample size = 20
condition : sample mean ( x-bar ) is the same for both samples
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
from condition 1 :
Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%
for condition 2 :
sample size = 20
mean = 2.25 ( assumed value )
std = 0.15 ( assumed value )
Z = 1.645 ( Z-value )
determine the 90% confidence interval
= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]
= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]
= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )
I am trying to solve this but I don't understand.
Answer:
a = 42 b = 21
Step-by-step explanation:
a is 42 since it ks vertically opposite 42
To solve for b
360 - (42×2)........to get the angle next to a
=276... Divde answer by 2. Bc there are two of the angles
276÷2 =138
138 + 2b =180
2b = 180 - 138
b = 42 ÷ 2
b = 21
The image below shows four soccer balls at different
locations on an uneven soccer field. Which ball has the
greatest amount of kinetic energy? Explain your answer.
Answer: letter d
Step-by-step explanation:
Answer:
Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than [tex]0[/tex].
Step-by-step explanation:
Consider an object of mass [tex]m[/tex]. If this object is moving at a speed of [tex]v[/tex], the kinetic energy of this object would be:
[tex]\displaystyle \frac{1}{2}\, m \cdot v^{2}[/tex].
The speed [tex]v[/tex] of ball A, B, and C are all [tex]0[/tex]. Hence, the kinetic energy of these three balls would be [tex]0\![/tex].
The speed of ball D is greater than [tex]0[/tex]: [tex]v = 2\; \rm m \cdot s^{-1}[/tex]. The kinetic energy of this ball would be:
[tex]\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}[/tex].
Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.
I need help plz 6x-5=2x+7
Answer: x=3
Step-by-step explanation; Add 5 to both sides of the equation
6x-5+5=2x+7+5
simplify: add the numbers
6x-5+5=2x+75 = 6x=2x + 7+5
6x =2x + 7+5
6x=2x +12.
subtract 2x from both ides of the equation: 6x=2x + 12
6x - 2x =2x + 12-2x6
combine like terms u should get 4x= 12
divided both sides of the equation by the same term 4x=12 4x/4 =12/4
Cancel terms that are in both the numerator and denominator u should get x=12/4
divided the numbers and ur answer is X=3
Which of these describes information that can appear in a consumer 's credit report?
A. The Name Of A Store Where The Consumer pays for all purchases
B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago
C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years
D. The Amount That The Consumer Loaned To A Family Member
Answer:
b the car loan .................
5x3 + 9x² - 13x - 2
As x approaches --, f(x) approaches
As x approaches +o, f(x) approaches
9514 1404 393
Answer:
(x, y) → (-∞, -∞), (+∞, +∞)
Step-by-step explanation:
The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:
x → -∞, f(x) → -∞
x → ∞, f(x) → ∞
Help for brainliest!
Answer:
I believe it's d but I could be wrong but I'd try it
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Scale factor: 4:1
10 in
6 in
b
8 in
Scale drawing
Object
A. Side a is 10 inches long, side bis 12 inches long, and side cis 14
inches long
B. Side a is 2 inches long, side bis 4 inches long, and side c is 6
inches long.
O
C. Side a is 24 inches long, side bis 32 inches long, and side cis 40
inches long.
d
D. Side a is 1.5 inches long, side bis 2 inches long, and side c is 2.5
inches long
Answer:
D for sure
Step-by-step explanation:
i dont know if you have time for this so i explain it in the comments if you need it
Answer:
the answer is D
Step-by-step explanation:
Find the value of the expression below pls help
Answer:
D 1/16
Step-by-step explanation:
(1/2)^4=.0625
.0625= 1/16
(4/2)4 + (1 + 3)?
I really need help!
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Just do PEMDAS}[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Exponents}[/tex]
[tex]\large\text{Multiplication}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Subtraction}[/tex]
[tex]\mathsf{(\dfrac{4}{2})(4) + (1+3)}[/tex]
[tex]\mathsf{\dfrac{4}{2} = 2}[/tex]
[tex]\mathsf{2(4) + (1 + 3)}[/tex]
[tex]\mathsf{2(4) = 8}[/tex]
[tex]\mathsf{8 + (1 + 3)}[/tex]
[tex]\mathsf{1 + 3 = 4}[/tex]
[tex]\mathsf{8 + 4 = 12}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf \huge12 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
30 POINTS FOR JUST ONE QUESTION :)
Answer:
maybe its a or c
Step-by-step explanation:
Answer:
D) 14,400
Step-by-step explanation:
trust me
Which of these is the most reasonable estimate for the amount of water that fills a glass? A. 500 L
B. 500 mL
C. 5 L
D. 5 mL
E. 50 L
In Mr.Wilson's math class the average of the 20 test scores that was 82. When the top 5 scores were eliminated, the average of the remaining scores was 78. What was the average of the top 5 scores that were eliminated
Answer:
82, 81, 80, 79, 78
Step-by-step explanation:
I dont know if this will help but hope it does
Answer:
vgfvxdvcvsdvcvdbxvbvdvxfvwcvtgrvfrwevtfcrdsvgvferfdvfecdfdvgtvtfgcevgbtrvthytrjgrvhc
Step-by-step explanation:
Question 3 of 10
You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B = You roll a 4 on the second cube.
Are the events independent or dependent? Why?
A. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
B. Independent, because they have no outcomes in common.
C. Dependent, because both cubes have six sides.
D. Dependent, because 4 is an even number.
Answer:
D
Step-by-step explanation:
They are both even numbers the 4 is seperated into 2,2 and if 4 is an even and event A is even it would be dependent
Graph the solution set of the inequality 1/2y < -3
Answer:
y < − 6 ?
Step-by-step explanation:
Its a straight line on graph so it's linear
Answer:
w
Step-by-step explanation:
help me and i givee points give me correct answer
Answers:
Fractions A
Red flower fraction== 40/100
Purple flower fraction=47/100
Trees fraction=7/100
Decimals
Orange flower decimal=0.06
Trees decimal=0.07
Percents
Red flower percent=40%
Orange flower percent=6%
Purple flower percent=47%
Ask for help when you need it, I'm here until 2:30
I hope this helps!
If you need more help, don't hesitate to ask!
May I have brainliest, please?
Find Cecilia’s average monthly income if her biweekly take-home pay is $764.00. Help please. Will give braineliest
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 = 160
D. 160t – 75 = 10
Answer:
C. 75t + 10 = 160
Step-by-step explanation:
Given that
The tire was $75 each
also there is a $10 for installation charges
For both he paid $160
Now based on the above equaton
The equation that applied to determine the number of tires i.e. t is
75t + 10 = 160