Answer:
i think her inference i invalid
Step-by-step explanation:
i think this because she only surveyed a very small population of the seventh graders and the more data the more accurate your prediction will be. Hope that helps.
A)The number of students in the seventh grade who would be expected to prefer math to science are: 128
B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
What is sample?A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.
here, we have,
A) Given that, the total number of students in seventh grade are: 150 students.
Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.
This means that out of the sample the number of students who prefer math to science is:
= 85 / 100 x 25
= 21.25
Now, out of the total seventh graders the number of students who prefer math to science is:
21.25 x 150 / 25 = 127.5 ≈ 128
B) From the question, we understand that:
Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.
The above selection is a random sampling technique
Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
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complete question:
Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?
25
85
150
128
Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?
No, this is not a valid inference because he asked only 20 families
No, this is not a valid inference because he did not take a random sample of the neighborhood
Yes, this is a valid inference because he took a random sample of the neighborhood
Yes, this is a valid inference because the 20 families speak for the whole neighborhood
In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.
Answer:
f=127 cm
Step-by-step explanation:
Law of Cosine:
x squared=92 squared+42 squared-2(92)(42)(cos 141)
x squared =8464+1764-7728(cos 141)
x=127 cm
A chorus has twelve music stands for thirty singers. What is an equivalent ratio of music stands to singers?
Answer:
2:5
Step-by-step explanation:
12:30 would be 40% then simplify by dividing each number by 6.
Answer:
2.5
Step-by-step explanation:
A construction manager weighs a bundle of 9 identical bricks and a 7 pound concrete block. The bundle weighs 30 pounds.
Answer:
30 = 9x + 7
Step-by-step explanation:
The total weight of the bundle = 30 pounds
The weight of the bricks = x pounds
But he carried 9 bricks = 9x pounds
He also carried additional 7 pounds of concrete block.
An equation to show the total weight he carried is
30 pounds = (9x + 7) pounds
Since 9x represents the total weight of the bricks he carried
7 represents the weight of the concrete block
And 30 pounds represents the total weight of everything he carried.
A storage tank is 20% filled with water. The storage tank holds, 1,160 gallons of water. How many gallons of water are needed to fill the storage tank to the top?
The storage tank requires an additional 4,640 gallons of water to be filled to the top, calculated by finding the total tank capacity using the 20% already filled and subtracting the current water volume.
The student asks about the amount of water needed to fill a storage tank to the top given that the tank is already 20% full with 1,160 gallons of water. To find out how much more water is required, we first need to establish the total capacity of the tank.
Since 1,160 gallons represent 20% of the tank's capacity, we can calculate the full capacity by dividing the amount of water currently in the tank by 0.2. After finding that number, we need to subtract 1,160 from the total capacity to find the amount of water needed to fill the tank.
Calculation:
1. Calculate the full capacity of the tank:
Total capacity = 1,160 gallons / 0.20 = 5,800 gallons.
2. Calculate the gallons of water needed to fill the tank:
Gallons needed = Total capacity - Current amount of water
Gallons needed = 5,800 gallons - 1,160 gallons = 4,640 gallons.
Therefore, 4,640 gallons of water are needed to fill the storage tank to the top.
Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.
-[tex]\frac{10}{1}[/tex]Answer:
lydia's answer is correct.
Step-by-step explanation
4/5 X 10=8 because
[tex]\frac{4}{5}[/tex] X [tex]\frac{10}{1}[/tex] -->we do the denominator first so 5 x 1 = 5 so now it's
[tex]\frac{4}{5}[/tex] [tex]\frac{10}{5}[/tex] so 4 X 10= 2 x 5(we replace 10 with that ) over 5 and the you will be left with 4 x 2 over 5 that is because 5 and 5 canceled out so
now you're left with this 4 x 2 = 8 so 8 is you final answer without the fraction :) hope this helps
I have $45. I want to go to the store and buy some cheez-its. They are $2.75 a box. How many boxes can I get? Do I have any money left over? How much?
Answer:
You can by 16 boxes of cheez-its. You have 1 dollar left over.
Step-by-step explanation:
Divide 45 by 2.75 and you get 16.36, then multiply 2.75 by 16 to get 44.
So, you can pay 44 dollars for 16 boxes of cheez-its.
Hope this helps!!
Please mark Brainliest!
Answer:
16 boxes with 1 dollar leftover
Step-by-step explanation:
45 / 2.75 = 16.3636...
HELPPPPPPPPPPPPPPPPPPPPP 29PTS AND BRAINLIEST A box at the post office has dimensions as shown below. A rectangular prism with a length of 12 inches, width of 8 inches, and height of 16 inches. What is the volume of the box? A.1,304 B.1,536 C.1,636 D.2,304
Answer:
b)1536
Step-by-step explanation:
We find the volume of a rectangular prism by using the formula Bh
or l x w x h
8x12x16=1536
brainliest plz i need one more
Answer:
B.1,536
Explanation:
length x width x height = v
12 x 8 x height = 96 x height
12 x 8 x 16 = 1536 or v
Need help please explain
The graph shows f(x) = |x – h| + k. What is the value of h?
Answer:h=1
Step-by-step explanation:
A
Step-by-step explanation:
edge2021 Algebra
A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of a 25% solution should the scientist mix to make the 20% solution?
Answer:
40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.
Step-by-step explanation:
Given:
A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution.
Now, to find the milliliters of 10% solution and 25% solution to make 20% solution:
Let the 10% solution be [tex]x.[/tex]
And let the 25% solution be [tex]y.[/tex]
So, total milliliters of solution are:
[tex]x+y=120\\\\x=120-y\ \ \ \ .....(1)[/tex]
Now, to get the milliliters of 10% solution and 25% solution to make 20% solution we solve the equation:
[tex]10\%\ of\ x+25\%\ of\ y=20\%\ of\ 120\\\\\frac{10}{100} \times x+\frac{25}{100} \times y=\frac{20}{100} \times 120\\\\0.10x+0.25y=24[/tex]
Substituting the value of [tex]x[/tex] from equation (1) we get:
[tex]0.10(120-y)+0.25y=24\\\\12-0.10y+0.25y=24\\\\12+0.15y=24[/tex]
Subtracting both sides by 12 we get:
[tex]0.15y=12[/tex]
Dividing both sides by 0.15 we get:
[tex]y=80.[/tex]
Thus, the 25% solution is 80 ml.
Now, substituting the value of [tex]y[/tex] in equation (1) we get:
[tex]x=120-y\\\\x=120-80\\\\x=40\ ml.[/tex]
Hence, the 10% solution is 40 ml.
Therefore, 40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.
What expression represents the value of v?
1.) v = [tex]\sqrt{zy}[/tex]
2.) v = [tex]\sqrt{wz}[/tex]
3.) v = [tex]\sqrt{w(w+z)}[/tex]
4.) v = [tex]\sqrt{z(w+z)}[/tex]
I know for a fact that 1 is not the answer. See the attached image for the triangle in question.
The expression represent the value of v is :[tex]v=\sqrt{z(w+z)}[/tex]
The correct option is D
We have the attachment.
As shown, when deconstructing the largest right triangle, we got two similar triangles.
The corresponding sides of similar are proportional. Therefore, we can write the following proportion:
v/ w+ z = z/v
By Cross - multiply, we get:
z(w + z) = [tex]v^2[/tex]
And taking the square root of both sides, we get:
[tex]v=\sqrt{z(w+z)}[/tex]
So, The correct option is D
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Which expression is equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y > 0. Plz help
Answer:
D
Step-by-step explanation:
I did the work its D on edge.
To simplify the given expression, we first simplify the fraction within the square root, performing the division of similar bases by subtracting exponents. Then, we take the square root of 64 to get 8 and obtain the final simplified expression: 8/x^2y.
Explanation:To solve the specific expression, equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot, we will start by simplification inside the square root bracket. Perform the division with the fractions first. As a general rule, when dividing powers with the same base, we subtract the powers.
We'll start by simplifying 128/2, which is 64. For x Superscript 5 Baseline / x Superscript 7 Baseline, subtract the exponents, which gives us x to the power of -2 (since 5-7 is -2). For y Superscript 6 Baseline / y Superscript 5 Baseline, we also subtract the exponents, which results in y to the power of 1, or simply y.
Hence, the simplified version of the fraction inside the square root is 64x^-2y. Finally, since the square root of 64 is 8, and the square root of any variable raised to the negative power is the reciprocal of the variable, our final simplified expression is 8/x^2y.
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Find the slope of the line that goes through the points
(12,-14) and (3,-12)
Slope, m=
Answer:
-2/9
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (-12- -14)/(3-12)
=(-12+14)/(3-12)
=2/-9
= -2/9
Suppose Theta is an angle in standard position whose terminal side lies in
Quadrant 3. If sine--12/13, find the value of tan Theta
A. -12/5
B. 13/5
C. 5/12
D. 12/5
The correct answer is tan Theta = 12/5.
The task is to find the value of tan Theta given that in a position where its terminal side lies in Quadrant 3 and sine is -12/13. In the third quadrant, both sine and tangent are negative, so we expect a negative ratio for tan Theta. Since sine equals opposite over hypotenuse, we have:
sin Theta = opposite/hypotenuse = -12/13
The negative sign indicates that the opposite side is in the negative direction (downward in this case).
To find tan Theta, we'll use the Pythagorean theorem to find the length of the adjacent side:
opposite^2 + adjacent^2 = hypotenuse^2
(-12)^2 + adjacent^2 = 13^2
144 + adjacent^2 = 169
adjacent^2 = 169 - 144
adjacent^2 = 25
adjacent = [tex]\sqrt{5}[/tex]
Because we're in the third quadrant, where the x-coordinate (adjacent side in the context of the unit circle) is negative, adjacent = -5.
Now, tan Theta = opposite/adjacent = -12/-5 = 12/5.
Therefore, the correct answer is D. 12/5.
Find the sum -15+-32=
Answer:-47
Step-by-step explanation:
Because minuse +minuse is equal to pluse so we will add both equations
12. Solve the inequality 809 >-11 + n.
Answer: 820>n
Step-by-step explanation:
809>-11+n
Turn into regular equation
809=-11+n
Add 11 to both sides
820=n
Add inequality sign back
820>n
Colton has n nickels and d dimes. He has no more than $2 worth of coins altogether. Write this situation as an inequality.
Answer:
Step-by-step explanation:
Represent the number of nickels and dimes by n and d.
The value of these nickels and dimes will be $0.05n + $0.10d ≤ $2.00.
The inequality of the given situation is $0.05n + $0.10d ≤ $2.00.
Given that,
Colton has n nickels and d dimes.He has no more than $2 worth of coins altogether.Here we assume the nickels be $0.05And, the dimes be $0.10Based on the above information, the inequality function is as follows:
= $0.05n + $0.10d ≤ $2.00
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1=1/8+x+2/8
Pls help and hurry
Answer:
x = 5/8 plz give branliest
Step-by-step explanation:
Using the equation,[tex]1 = \frac{1}{8} + x + \frac{2}{8}[/tex]
simplify 1 = x + [tex]\frac{3}{8}[/tex]
1 - [tex]\frac{3}{8}[/tex] = x
[tex]\frac{5}{8}[/tex] = x
Answer:
x = 5/8 or 0.625
Step-by-step explanation:
Rewrite the equation as 18+x+28=118+x+28=1.
18+x+28=118+x+28=1
Simplify 18+x+2818+x+28.
Tap for more steps...
x+38=1x+38=1
Move all terms not containing xx to the right side of the equation.
Tap for more steps...
x=58x=58
The result can be shown in multiple forms.
Exact Form:
x=58x=58
Decimal Form:
x=0.625
Help me step by step serious answers please
Ella ate half of her gummy bears before adding thirteen more to the bowl.if she now has 25 gummy bears.how many did she start with??
she ate half before adding 13 so half was 12 which means she started with 24 bear gummies
5. In the figure, BE||CD. Solve for x. Show your work.
Answer:
x = 15
Step-by-step explanation:
There are theorems regarding Property of Similar polygons.
Corresponding sides are in proportion.
triangle ABE is similar to triangle ACD
so
AB:BC = AE: ED
x:10 = 9:6
(x/10) = (9/6)
x = 10*9/6 = 5*3 = 15
N + (18 - 6) = 32 who can help me?
Answer:
20
Step-by-step explanation:
N + (18 - 6) = 32
Simplify bracket
N + 12 = 32
Subtract 12 from both sides to eliminate 12 on the left side
N + 12 - 12 = 32 - 12
N = 20
An item is regularly priced at $85. It is now priced at a discount of 60% off the regular price. What is the price now?
Answer:
34$
Step-by-step explanation:
plz make brainliest
Whats the midpoint of (3,-8) and (5,-2.5)
please help asap i dont understand this.
Answer:
x > 2
Step-by-step explanation:
Subtract one from both sides to get the answer above.
To graph it, choose the open arrow pointing right and drop it over 2.
Answer:
x>2
Step-by-step explanation:
You would simplify this as you would any other equation, which means subtract the 1 from each side to be left with x > 2
To graph this, you would use an open circle, because the sign is not greater then and equal to, it is only greater then.
Therefore, to graph it, you would have an open circle to the right on the number 2
Which of the following statements best describes the "grouping method" of factoring trinomials?
Choose the correct answer below.
O A. The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by
grouping
OB. The grouping method of factoring trinomials involves rewriting the bx term into the factors that fit the particular trinomial, and factoring these four terms using
grouping
OC. The grouping method of factoring trinomials involves factoring out the common factor.
Final answer:
The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping.
Explanation:
The correct answer is A. The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping. In this method, we find two pairs of terms with common factors and group them together. Then, we factor out the greatest common factor from each pair. Finally, we factor out a common factor from the resulting binomials. Let's consider an example:
Example:
Factor the trinomial: x^2 + 5x + 6
Step 1: Separate the first and last terms: x^2 + 5x + 6 = (x^2 + 2x) + (3x + 6)
Step 2: Factor out the greatest common factor from each pair: x(x + 2) + 3(x + 2)
Step 3: Factor out a common factor from the resulting binomials: (x + 2)(x + 3)
Therefore, the factored form of the trinomial x^2 + 5x + 6 is (x + 2)(x + 3).
Can someone please help me with numbers 5 and 7? Explanations would be great. Extra points!
Answer:
5-7 5+7 5=7
Step-by-step explanation:
dont know what you mean
cross products question, 3/5 over x multiplied by 12 over 20
what is x
Answer:
9/25x
Step-by-step explanation:
3/5/x ×12/20
3/5×1/x ×12/20
36/100x
Divide both by 4
9/25x
The exact value of x cannot be determined because we don't know what the equation is equated to
So we will have to leave the answer as 9/25x
Valerie said that the GCF of two monomials is 7bc.
What two monomials did she use?
Answer: B: 35ab^2c AND 7bc^2
Step-by-step explanation:
The monomials must be multiples of 7bc such as 21b^2c and 14bc^2, because the GCF of two monomials is the highest factor that divides both these monomials. GCF in this case is 7bc.
Explanation:The Greatest Common Factor (GCF) of two monomials is the highest factor that divides both of these monomials. Given that the GCF is 7bc, these two monomials must have 7bc as a factor. Thus, Valerie possibly used any two monomials that are multiples of 7bc.
For example, one answer could be 21b^2c and 14bc^2. Each of these monomials has 7bc as a factor (3b, 2c, and 2b, 2c respectively). There are other possible combinations, as long as they're multiples of 7bc.
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-(9-(m+a));use m =4,p=5,and a=3
Step-by-step explanation:
- ( 9 - ( m + a ))
= -( 9 - ( 4 + 3))
= - ( 9 - (7))
= -( 9 - 7)
= - 2
Answer:
-2
Step-by-step explanation:
Open the bracket first
-(9-(m+a))
-(9-m-a)
-9+m+a
So let's substitute the value for the m and a
-9+4+3
Using BODMAS
Addition comes before substration
So
-9+4+3
=-9+7
=-2
So the final answer is-2