We have been given that a z-score table and corresponding probability to each z-score. We are asked to find the probability of a getting a z-score less than or equal to 0.42 that is [tex]P(z\leq0.42)[/tex].
z-score Probability
0.00 0.5000
0.22 0.5871
0.32 0.6255
0.42 0.6628
0.44 0.6700
0.64 0.7389
0.84 0.7995
1.00 0.8413
Upon looking at our given table, we can see that the probability corresponding to z-score of 0.42 is 0.6628.
[tex]P(z\leq0.42)=0.6628[/tex]
Now, we will convert [tex]0.6628[/tex] into percent as:
[tex]0.6628\times 100\%=66.28\%[/tex]
Upon rounding to nearest percent, we will get:
[tex]66.28\%\approx 66\%[/tex]
Therefore, the approximate value of [tex]P(z\leq0.42)[/tex] is [tex]66\%[/tex] and option C is the correct choice.
Answer:
C
Step-by-step explanation:
Which graph represents the function f(x)= 0.2^x + 3
The third graph or bottom left graph represents [tex]f(x) = 0.2^{x} + 3.[/tex]
Step-by-step explanation:
Step 1:
To determine which of the given graphs represents the equation [tex]f(x) = 0.2^{x} + 3[/tex], we substitute some values in the place of x.
When [tex]x=0,[/tex] [tex]f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.[/tex]
Anything with an exponent of 0 will equal 1.
So the graphs on the right side cannot be the answers.
Step 2:
Now we substitute another value to determine which graph represents [tex]f(x) = 0.2^{x} + 3.[/tex]
When [tex]x=1,[/tex] [tex]f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.[/tex]
The value of f(x) when [tex]x=1[/tex] is lesser than the value of f(x) when [tex]x =0.[/tex]
So the third graph or bottom left graph represents [tex]f(x) = 0.2^{x} + 3.[/tex]
What does the ordered pair (2,3) represent?
Given:
It is given that the graph represents the cup of sugar per cookies (dozens)
The x - axis represents the Sugar (cups)
The y - axis represents the Cookies (dozens)
We need to determine what the coordinate (2,3) represent.
Coordinate (2,3) represent:
Since, x - axis represents the Sugar (cups) and the y - axis represents the Cookies (dozens), it can be written in coordinate as (x,y)
Now, we shall determine what the coordinate (2,3) represent.
Comparing the coordinates, we get;
[tex](x,y)\implies (2,3)[/tex]
Thus, the x - value (x = 2) represents the Sugar (cups) and the y - value (y = 3) represents the Cookies (dozens).
Hence, the ordered pair (2,3) represents 2 cups of sugar yield 3 dozen cookies.
Therefore, Option c is the correct answer.
The ordered pair (2,3) represent that 2 cups of sugar yield 3 dozens of cookies.
In the given graph, x - axis represent that number of sugar cups and y - axis represent that corresponding dozen of cookies.
So that, in an order pair (x, y) , x- cups of sugar yield y - dozens of cookies.
Therefore, The ordered pair (2,3) represent that 2 cups of sugar yield 3 dozens of cookies.
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which problem situation corresponds the equation 12.5 + x = 62.5
i need help please!!!!!
Answer:
x = 50
Step-by-step explanation:
take away 12.5 from both sides to get x alone on one side and numbers alone on one side
x = 50
y’all should help on this ASAP
Answer:
The sales are going up higher and sometimes going down.
Step-by-step explanation:
What is the value of x in the equation 2x + 3y = 36, when y = 6?
Answer:
9
Step-by-step explanation:
2x+3(6)=36
2x+18=36
-18= -18
2x=18
___ ___
2 2
x=9
To find the value of x, substitute/plug in 6 into "y" since y = 6, then isolate/get the variable "x" by itself in the equation:
2x + 3y = 36 Plug in 6 into "y"
2x + 3(6) = 36
2x + 18 = 36 Subtract 18 on both sides
2x = 18 Divide 2 on both sides to get "x" by itself
x = 9
PROOF
2x + 3y = 36 Plug in 6 into "y" and 9 into "x"
2(9) + 3(6) = 36
18 + 18 = 36
36 = 36
what is 5/12 divided by 12
Answer:
5/144 is the answer of 5/12 divided by 12.
Step-by-step explanation:
The time, t, in hours, it takes to get to a certain destination varies indirectly as the speed of the car, s. If it takes 3.25 hours at a speed of 72 mph to reach a destination, how many hours will it take to reach the same destination at a speed of 36 mph?
A. 14.625
B. 6.5
C. 13
D. 1.625
Answer:
the answer is D
Step-by-step explanation:
Answer:
B. 6.5
Step-by-step explanation:
If we're going somewhere at half the speed, it will take double the time. 36/72 = 1/2, and 6.5/3.25 = 2.
how do i find length of surface area
Step-by-step explanation:
Label the length, width, and height of your rectangular prism.
Look at the six faces of the prism.
Find the area of the bottom face.
Find the area of the top face.
Find the area of the front and back faces.
Find the area of the left and right faces.
Add the six areas together.
hope this helps. :)
have a nice day.
6.6.PS-20
Question Help
Alan has read 20% of a book. He has 48 more pages to finish. How many pages are there in the
book?
Answer:
The total number of pages in the book are 60.
Can someone check this if it is right or wrong
Which steps should be used to compare the fractions 2 Over 9 and 5 Over 6?
Answer: 2/9 5/6
Step-by-step explanation:
Find the common denominator
Chaz needs $4.77 for new batteries. He has $2.80. How much more money does he need?
Answer:
1.97
Step-by-step explanation
2.80 + n=4.77
4.77 - 2.80= 1.97
Answer:
$ 1.97
Step-by-step explanation:
Need = 4.77 - 2.80 = 1.97
Simplify the variable expression.
14a +(-3a)
Answer:
[tex]\huge\boxed{14a+(-3a)=11a}[/tex]
Step-by-step explanation:
[tex]14a+(-3a)\qquad(+)(-)=(-)(+)=(-)\\\\=14a-3a\qquad\text{combine like terms}\\\\=(14-3)a=11a[/tex]
Answer:
11a
Step-by-step explanation:
The addition sign does not add the coefficients together. It will already be subtraction with the negative 3a. So, that means the new equation is 14a-3a, then subtracting 14-3 equates to 11.
solve the emojis please worth 10 points
Answer: 367.1
Step-by-step explanation:
The answer to the missing measure based on the emoji values would be 365
How to find the value ?
To solve this set of emoji-based equations, we can treat each emoji as a variable in a system of equations. Let's assign:
Monkey Face = M
Surprise Face = S
Angry Face = A
3 M = 21
M = 21 / 7
= 7
2 S + 7 = 85
2S = 85 - 7
S = 78 / 2
S = 39
3 A + 39 = 162
3A = 162 - 39
A = 123 / 3
= 41
This means that the final value is:
= ( 2 x 39 ) + ( 41 x 3 )
= 78 + 287
= 365
convert 15/125 to a decimal using long division
The answer is 0.12 and I did it using long division...
Answer:
15√125
000.015
000.075
000.03
= 000.12 = 0.12
We show the inverse; 0.12 x 125
12.0
2.4
+ 0.60
= 15 = inverse of 0.12
Step-by-step explanation:
15/125 = 0.12
six more than the product of four times the difference between x and 3
When x=8
Answer:
26
Step-by-step explanation:
Six more than four times the difference between x and 3
6+4(x-3)
And x is said to be 8
So let's substitute
6+4(8-3)
6+4(5)
6+20
26
So the final answer is 26
Answer: 26
Step-by-step explanation:
Two pentagons are similar. So, their corresponding sides must have the same lengths.
TrueFalse
Answer:
False because they are similar not exactly alike.
Can someone help me with this ?
The question lacks sufficient detail to determine the subject or grade level; the student is requested to provide more information for an accurate response.
Explanation:It appears there was some confusion in the question you have asked. Unfortunately, without specific details, it is difficult to determine the subject or grade level associated with your question.
To provide a detailed and accurate answer, it's important to have the full context of the question.
Please provide additional information or clarify your question by including the subject matter and the specific details of the schoolwork problem you are encountering. Once you provide the necessary details, I would be more than happy to assist you.
Remember, the more specific you are in your query, the more precise and helpful the guidance can be.
In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Final answer:
The simplest form of the ratio of apple juice to coconut milk to orange juice given the amounts of 5 ml, 50 ml, and 15 ml respectively is 1:10:3.
Explanation:
To find the simplest form of the ratio of apple juice to coconut milk to orange juice, we will use the quantities provided: 5 ml of apple juice, 50 ml of coconut milk, and 15 ml of orange juice.
First, let's list the quantities in the order requested:
Apple juice: 5 ml
Coconut milk: 50 ml
Orange juice: 15 ml
Next, we will find the greatest common divisor (GCD) that these amounts have in common to simplify the ratio. The GCD for 5, 50, and 15 is 5.
Now, divide each quantity by the GCD:
5 ml apple juice ÷ 5 = 1
50 ml coconut milk ÷ 5 = 10
15 ml orange juice ÷ 5 = 3
So the ratio of apple juice to coconut milk to orange juice in its simplest form is:
1:10:3.
Final answer:
To find the simplest form of the ratio of apple juice to coconut milk to orange juice, divide the volume of each by the greatest common divisor. The result is a simplified ratio of 1:10:3 for apple juice, coconut milk, and orange juice, respectively.
Explanation:
In the given fruit cocktail recipe, we have the following measurements for each of the components: 15 ml of orange juice, 5 ml of apple juice, and 50 ml of coconut milk. To find the ratio of apple juice to coconut milk to orange juice in its simplest form, we will compare the volumes of each ingredient.
First, we will list the volumes of ingredients as a ratio:
Apple Juice : Coconut Milk : Orange Juice
5 ml : 50 ml : 15 ml
To simplify this ratio, we can divide each part by the greatest common divisor of the three numbers, which in this case is 5 ml. So, we get:
(5/5) ml : (50/5) ml : (15/5) ml
1 : 10 : 3
Therefore, the simplest form of the ratio is 1:10:3.
If the mean of the data set is 35 apples find the number of apples on the Granny Smith tree
35apples:
The number of apples on the Granny Smith tree can be found by looking at the mean of the data set, which in this case is 35 apples.
To determine the number of apples on the Granny Smith tree, just consider that the mean represents the average value of the data set.
Since the mean is 35, then you can conclude that there are 35 apples on the Granny Smith tree.
The number of apples in the Granny Smith tree is 41.
To find the number of apples in the Granny Smith tree, we can use the fact that the mean (average) of the data set is 35 apples. The mean is calculated by summing up all the values and dividing by the total number of values.
Let x be the number of apples in the Granny Smith tree.
The mean of the data set can be calculated as:
[tex]\[ \text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} \]For the given data set, the sum of all values is \( 34 + 29 + 36 + x \), and there are 4 values in total.[/tex]
So, we have the equation:
[tex]\[ 35 = \frac{34 + 29 + 36 + x}{4} \]Now, let's solve for \( x \):\[ 35 \times 4 = 34 + 29 + 36 + x \]\[ 140 = 99 + x \]\[ x = 140 - 99 \]\[ x = 41 \][/tex]
Therefore, the number of apples in the Granny Smith tree is 41.
Complete question:
The following table shows the number of apples on each apple tree in Craig’s backyard. If the mean of the data set is 35 apples, find the number of apples in the Granny Smith tree.
How many customers were kept on hold for less than 25 seconds?
Answer:
54 customers
Step-by-step explanation:
Add them all together:
9 + 9 + 0 + 1 + 2 + 5 + 6 + 3 + 5 + 9 + 0 + 5
= 18 + 3 + 11 + 8 + 14
= 32 + 22
= 54
Answer: 54 Customers
Step-by-step explanation: From what i can see, it shows 3 sets of customers, all the seconds added together would be 54
9 + 9 = 18
0 + 1 + 2 + 5 + 6 = 14
3 + 5 + 9 = 17
0 + 5 = 5
now, add it all together
18 + 14 + 17 + 5 = 54
Determine the missing information in the paragraph proof. Given: Lines a and c intersect at point S, creating 4 angles. Prove: Corresponding angles are congruent. Lines a and c intersect at point S. Line c is diagonal and also contains points R, Q, P. Line a is horizontal and also contains points U, T. We are given that lines a and c intersect at point S. Translate line a down line c until point S reaches point Q. Call the new line through Q line b. Because translations preserve orientation, lines a and b are ________. Because translations preserve angle measure, ∠RSU ≅ ∠RQU'. For the same reason, ∠RST ≅ ∠RQT', ∠PSU ≅ ∠PQU', and ∠PST ≅ ∠PQT'. Each of the angle pairs are corresponding angles. Therefore, corresponding angles are congruent. parallel perpendicular congruent reflected
Answer:
©The answer is Parallel
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
Question 1
8 cakes of the same type have a total cost of £13.20
Work out the cost of 12 of these cakes.
(2 marks)
Step-by-step explanation:
Simple
First we have to find out cost of each cake so
Cost of 1 cake = 13.20 ÷ 8 = 1.65
Cost of 12 cakes = 1.65 × 12 = 19.8
Each cake costs £1.65, so the total cost for 12 cakes would be £19.80. So, the cost of 12 cakes would be £19.80.
Explanation:This question requires understanding of ratio and proportion. First, let's find the cost of 1 cake by dividing the total cost (£13.20) by the total number of cakes (8). Here, we get: £13.20 ÷ 8 = £1.65. This means that each cake costs £1.65. After finding the cost of a single cake, we can calculate the cost of 12 cakes by multiplying the cost of one cake (£1.65) by 12. This gives £1.65 × 12 = £19.80. So, the cost of 12 cakes would be £19.80.
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Plssssssssss Help ASAP!!!!!!!
Geoville County wants to build a hospital that is equidistant from its three cities L, M, and N. Which construction correctly finds the best location of the hospital?
Construction X because point C is the incenter of ΔLMN
Construction X because point C is the circumcenter of the ΔLMN
Construction Y because point E is the incenter of ΔLMN
Construction Y because point E is the circumcenter of ΔLMN
Answer:
Construction Y because point E is the circumcenter of ΔLMN
Step-by-step explanation:
we know that
The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersects.
In the construction Y the point E represent the circumcenter of triangle LMN
The distances EM, EL and EN are congruent , because represent the radius of the circle.
That means. that the point E is equidistant from the three vertices
In the context of the problem, the hospital (point E) is equidistant from its three cities L, M, and N
Which of the following data could be graphed using a dot plot? Select all that apply.
Time taken to complete a test
Favorite pet
Zip Code
Number of cars in a household
umber of siblings
sumber
Distance de
Distance driven to school
to
School
The data that can be represented using a dot plot include 'Time taken to complete a test', 'Number of cars in a household', and 'Distance driven to school'. These are numerical data that can be categorized and ordered, thus making them suitable for a dot plot.
Explanation:A dot plot is a type of visual representation of data, best suited for data sets with relatively small sizes, and it is typically used for numerical data that can be categorized or grouped. Therefore, to see which of the options can be graphed using a dot plot, we need to select the options with numerical data that can be categorized or ordered.
Time taken to complete a test: This is numerical data that can be ordered, making it suitable for a dot plot.Favorite pet: This is categorical data, making it unsuitable for a dot plot.Zip Code: Although these contain numerical values, they are nominal data and not suitable for a dot plot as they lack a meaningful order.Number of cars in a household: It is numerical and can be categorized, making it suitable for a dot plot.A number of siblings: While this is numerical and can be ordered, it's not clear what 'number' and 'summer' refer to, so it is difficult to definitively say whether this could be graphed with a dot plot.Distance driven to school: This is numerical data that can be ordered, making it suitable for a dot plot.Learn more about dot plots here:https://brainly.com/question/22746300
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What mistakes did Cassandra make? check all that apply
Answer: Where are the answers to choose from?
Step-by-step explanation:
Answer:
For the E D G E N U I T Y people
Step-by-step explanation:
hopefully i’ve helped you luv
ASAP!!!!! !!
I need help, it’s urgent please!!!
Answer: A
Step-by-step explanation: Because if an ecosystem has a high biodiversity, then it’s most likely to survive things like an invasive species for example
Find the value of X, X is a radius.
A- 11.6
B- 12.4
C- 6.7
D- 8.0
The following graph represents changes in the real estate market in a given area over a period of 28 years. A graph titled Housing Price Index has years on the x-axis. From 0 to 2, the price is steady; from 2 to 4, increases; from 4 to 6, decreases; from 6 to 8, is steady; from 8 to 10, increases rapidly; from 10 to 20, decreases; from 20 to 28, increases. Using this information, consider the three following real estate investment strategies, and rank them from least to greatest according to how much profit they would likely make in this market, assuming that each of them purchased a house in this area at year 0. I. A house flipper, seeking to sell the house as soon as doing so becomes profitable, sells after 4 years. II. A long-term investor, seeking to hold onto the house for a long time, sells after 23 years. III. A moderate-term investor who will sell the house once it reaches a certain price, sells after 11 years. a. I, II, III b. II, I, III c. III, I, II d. Each of them will make roughly as much profit as the others.
Answer:
B.
II, I, III
Step-by-step explanation:
Just took test on Edge 2021
Answer:
its B. II, I, II
A special form of the hyperbola is called:
Answer: Branches
Step-by-step explanation:
A hyperbola has two matching halves called branches