Answer:
A) 0.889
B) 0.895
Step-by-step explanation:
Mean of 53.8 inches, and Standard deviation of 7.5 inches.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
A) What is the probability that a randomly chosen child has a height of less than 62.95 inches?
For x < 62.95
z = 62.95 - 53.8/7.5
z = 1.22
Probabilityvalue from Z-Table:
P(x<62.95) = 0.88877
Approximately = 0.889
B) What is the probability that a randomly chosen child has a height of more than 44.4 inches?
For x > 44.4 inches
z = 44.4 - 53.8/7.5
z = -1.25333
Probability value from Z-Table:
P(x<44.4) = 0.10504
P(x>44.4) = 1 - P(x<44.4) = 0.89496
Approximately = 0.895
The formula P=0.6x-89 models the profit, P, in dollars, for a shoe shiner when he shines x pairs of shoes.Use the formula to find this shoe shiner's profit when he shines 800 pairs of shoes.
Answer:
do you still need help
Step-by-step explanation:
An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.
Answer:
Step-by-step explanation:
Let X denote the random variable that obeys the normal distribution.
Given that:
For morning flights
Mean [tex]\mu_1[/tex] = 15
standard deviation [tex]\sigma_1[/tex] = 5
Sample size [tex]n_1[/tex] = 10
[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]
The Z - score is calculated as:
[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]
[tex]Z = \dfrac{30 -15}{5}[/tex]
[tex]Z = \dfrac{15}{5}[/tex]
Z = 3
For evening flights
Mean [tex]\mu_2[/tex] = 20
standard deviation [tex]\sigma_2[/tex] = 3
Sample size [tex]n_2[/tex] = 10
[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]
[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]
[tex]Z = \dfrac{30 -20}{3}[/tex]
[tex]Z = \dfrac{10}{3}[/tex]
Z = 3.33
Hence, from the above z-scores, we will realize that the evening flight is more late than usual.
Find the slope and the y-Intercept of the line in the graph.
Answer:
I'm pretty sure slope is 4/1 and y-intercept is 3
Answer:
Slope: 4/1
Y-Intercept: (0,3)
Step-by-step explanation:
This should be the correct answer if the graph is in increments of one.
x + 10y = 30
to
y = mx + b form
Answer:
y = - [tex]\frac{1}{10}[/tex] x + 3
Step-by-step explanation:
Given
x + 10y = 30 ( subtract x from both sides )
10y = - x + 30 ( divide all terms by 10 )
y = - [tex]\frac{1}{10}[/tex] x + 3
The ground temperature at an airport is 14 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers? The temperature outside a plane flying at an altitude of 5 kilometers is °C.
Answer:
-13 celsius
Step-by-step explanation:
5.4 * 5 = 27 degrees drop
14-27= -13
Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?
I NEED HELP!!
Answer:
15
Step-by-step explanation:
What is the solution of the proportion 3/5=13/x ? Round to the nearest tenth if necessary.
Answer: x = 21 2/3
Step-by-step explanation:
3/5 = 13/x
cross multiply 5 × 13, then divide by 3.
65/3 = 21 2/3
It's like multiplying both sides by the reciprocal of the left side.
Write the missing number and name the
property
(733X5)×2= 733 x 5
Answer:
the missing number is 2
Step-by-step explanation:
Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)
Right side is 733*5. Rewriting the expression this way makes it obvious that the missing number is 2.
32 is what percent out of 160
Answer:
20%
32 is 20% out of 160
Answer:
32 is what percent out of 160= 20
Step-by-step explanation:
32/160 * 100
Hope it helps!
What’s the combined average of Altuve’s weighted average below:
Friday 3 for 5, Saturday 2 for 4, and Sunday 1 for 3
Answer:
The combined average of Altuve's weighted averages is 1 for 2 or 1/2
Step-by-step explanation:
Combined Average
On Friday, Altuve had 3 out of 5 successes
On Saturday, Altuve had 2 out of 4 successes
On Friday, Altuve had 1 out of 3 successes
The total successes are 3+2+1=6
The total tries are 5+4+3=12
The combined average is:
[tex]\displaystyle \bar x=\frac{6}{12}[/tex]
Simplifying:
[tex]\displaystyle \bar x=\frac{1}{2}[/tex]
The combined average of Altuve's weighted averages is 1 for 2 or 1/2
If the original quantity is 17 and the new quantity is 33, estimate the percent change.
Answer:
The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.
Step-by-step explanation:
calculator lol
This is collection of data made by comparing objects in standard units. In science, the units are metric.
Answer:
You didn't even write a question.
$3.98 divided by 100x4
Answer:
I believe it is 0.1592
Step-by-step explanation:
Can someone help me ASAP plz?
Answer:
Answer is H. 9
Step-by-step explanation:
10/6 = 15/blank
6 x 15 = 90
90 / 10 = 9
its a weird formula but i hope i helped
Find the slope of the following graph and Identify the type of
Slope:
Answer:
undefined
Step-by-step explanation:
Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."
The ratio of red marbles to black marbles is 4:7. If the bag consists of 77 marbles in all, how many red marbles are in the bag?
Step-by-step explanation:
The ratio of red marbles to black marbles = 4 : 7
Total no. of marbles = 77
4x + 7x = 77
11x = 77
x = 77/11
x = 7
The no. of red marbles = 4x
= 4 × 7
= 28
Anthony earned $131 in tips last night while working at the restaurant. If his tips
consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?
Answer:21 5 dollar bills
Step-by-step explanation:
help please i need asap
Answer:
Yes, no, no, no, Yes
Step-by-step explanation:
Anyone know this one?
Answer:
120
Step-by-step explanation:
The code words u1 = 1101010; u2 = 0100010; u3 = 1100011; u4 = 0010100 form a basis for a (7; 4) linear binary code. (a) Write down a generator matrix for this code. (b) Construct code words for the messages 1001 and 0101. (c) Write down the parity check matrix for this code. (d) Find the syndromes for the received words 1110011; 1001010; 0001101; 1101010
Answer:
i believe QuickMAth or CalculatorSOup can help with this if nobody answers, sorry ik im taking points but its not letting me comment :/
Step-by-step explanation:
PLZ ANSWER!!
Annie recorded the temperatures at which two oils freeze:
Oil Temperature
Corn oil −20 °C
Peanut oil 3.1 °C
Which statement about the temperatures at which these oils freeze is true?
Peanut oil freezes at a higher temperature than corn oil because 3.1 °C −20 °C.
Peanut oil freezes at a lower temperature than corn oil because 3.1 °C > −20 °C.
Answer:Peanut oil freezes at a higher temperature because 3.1°C > -20°C
The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning
Answer:
12+18x is the perimeter
Step-by-step explanation:
4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=
3(4+6x)=
12+18x
What is the value of -6^2? -12 36 -36 12
Answer and Step-by-step explanation:
Assuming the negative is with the 6, the answer will be 36.
When you square a number, you are essentially multiplying that number by itself, to the number of times the power is. In this case, -6 is multiplied by -6 and there is two of them.
#teamtrees #WAP (Water And Plant)
Answer:
12
Step-by-step explanation:
[tex]-6^{2}[/tex] = -6 × -6-6 × -6 = 12I hope this helps!
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
Answer:
The answer is D
Step-by-step explanation:
EDGE2020
The answer is:
A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
F(x) is the output, or y values, and the y values on this coordinate plane from (negative infinity, -0.7) to (0.76, 2.5) do not have values above 0. Hence, F(x) is less than 0 over the given intervals.
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answer:
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Step-by-step explanation:
Step-by-step explanation:
Sorry I'm late I hope that helps:)
Add 3 level scoops of mini chocolate chips and 1 level scoop of raisins to Container 1. If each scoop has the same number of items, what percent of the items in Container 1 are mini chocolate chips? (This value is known as the percent concentration of chips.) Explain how you decided. Label the container appropriately Answer: 50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50% Add 2 scoops of mini chocolate chips and 3 scoops of raisins to Container 2. What is the percent concentration of mini chocolate chips? Explain how you decided. Label the container appropriately. Stir the chips and raisins in each container to ensure that the chips and raisins are evenly mixed.
Answer:
Container 1
The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.
Container 2
The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.
Step-by-step explanation:
Container 1
Mini Chocolate Chips: Raisins
3 scoops: 1 scoop
The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.
Container 2
Mini Chocolate Chips: Raisins
2 scoops: 3 scoop
The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.
This is simplified with the help of the ratios . We find out the ratio of the mini chocolate to the total of both the ratios and mulitply it with 100 to get the percentage concentration.
estimate 1scoop chips and 2scoops rice percentage
PLEASE HELP
Explain what is happening at this step in the solving equation process.
10 − 6 x = 4 + 5 x
7-6x=1+5x
3 ( 4 x − 3 ) = − 15
4x-3=5
5x/-3=12/1
5x=-36
−3 ( 4 x − 3 ) = − 15
4x-3=5
9514 1404 393
Answer:
3 was subtractedboth sides were divided by 3both sides were multiplied by -3both sides were divided by -3Step-by-step explanation:
It looks like you have four different equations here.
As a rule, each step in the solution involves one of the properties of equality: addition, subtraction, multiplication, or division. These properties let you do the same thing (one of these operations) to both sides of the equation.
__
1. 10 − 6 x = 4 + 5x
7 -6x = 1 +5x . . . . 3 was subtracted from both sides*
__
2. 3 ( 4 x − 3 ) = − 15
4x -3 = -5 . . . . . both sides were divided by 3
__
3. 5x/-3=12/1
5x=-36 . . . . both sides were multiplied by -3
__
4. −3 ( 4 x − 3 ) = − 15
4x -3 = 5 . . . . both sides were divided by -3
_____
* For this equation it would have been more useful to subtract 4 to get ...
6 -6x = 5x
If g (x) = 3x – 2, find g (8) – g(-5)
Answer:
I hope this helps you with your question
what is the area of the figure to the nearest hundredth renter the answer in the box 2yd 4yd
Answer:
9.57 yd squared
Step-by-step explanation:
we can divide this figure into two shapes: a rectangle and a semi-circle
since we know the length and width of the rectangle, all we ahve to do is multiply them together to find the area: 8 yd squared
for the semi-circle, we know the area is [tex]\frac{\\\pi r^2}{2\\}[/tex]
raduis is half the diameter so 1 yd
[tex]\frac{3.14(1)^2}{2}[/tex]
[tex]\frac{3.14}{2}[/tex]
1.57 yd squared
lastly, add the area of the two figures together 8+1.57
PLEASE HELP ME
An alloy is a mixture of metals.Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
Answer the questions below. Do not do any rounding.
(a) How many grams of copper are in the resulting mixture?
Il grams
(b) What percentage of the resulting mixture is copper?
Answer:
(a) How many grams of copper are in the resulting mixture?
= 160 grams
(b) What percentage of the resulting mixture is copper?
= 61.5%
Step-by-step explanation:
(a) How many grams of copper are in the resulting mixture?
From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams
(b) What percentage of the resulting mixture is copper?
70 grams of an alloy that contains 12% copper = 70 × 12%
= 70 grams × 0.12
= 8.4 grams
The number of grams of copper in the resulting mixture = 160 grams
The percentage of the resulting mixture that is copper is
=( 8.4 grams + 90 grams of pure copper/160) × 100
= 98.4/160 × 100
= 61.5%