Answer:
24.25
Step-by-step explanation:
The minimum admission score is at the 70th percentile of the normal distribution which, according to a z-score table, corresponds to a z-score of 0.524.
The z-score, for any given value X, is determined by:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
If the mean score is 21 and the standard distribution is 6.2, the minimum required score for admission is:
[tex]0.524=\frac{X-21}{6.2}\\X=24.25[/tex]
The minimum score required for admission is 24.25.
WILL GIVE BRAINLIEST FOR BEST ANSWER Maya wants to perform an experiment with a spinner labeled A, B, and C. The theoretical probabilities for each section are: P(A) = ½, P(B) = ¼, and P(C) = ¼. Which spinner could she use?
Answer: The answer is spinner B. There are 8 sections on the spinner and 4 of them have letter A, so P(A)= 1/2.
Answer:
spinner B
Step-by-step explanation:
there's 8 sides to the spinner and half of them have A on it.
If mArc N P is 6 more than 5 times the measure of Arc M N , what is mArc N P ?
139°
145°
151°
174°
Answer: the answer is 151
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
two bags and four hats cost $100 in all. three bags and seven hats cost $164 in all. what is the cost of 1 hat?
Answer:
Bags = 22
Hat = 14
22 x 2 = 44
14 x 4 = 56
So the first part is true
3 x 22 = 66
7 x 14 = 98
So the second part is true
14 is the answer
It's trial and error
Step-by-step explanation:
Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = –4 or x = x = 4 or x = x = 4 or x =
Answer:
x = 4 or x = - [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given
(2x - 8)(7x + 5) = 0
Equate each factor to zero and solve for x
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]
You already know how to use inequalities to
describe domain and range. If an endpoint is
included-shown by a closed dot, such as in the
graph to the right-use <= or >= instead of sor >
to indicate the number is included.
Complete the inequality for the domain.
Answer:
The first one is −4 <= x < 4
This second one is −2 <= y < 5
ASAP!! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)
Answer:
Third option is the correct answer (1/2 = e^{2k})
Step-by-step explanation:
Since, N =1/2 Nt
Therefore, 2N = Nt.... (1)
We are given that:
N= Nt e^{kt}
N = 2N e^{2k} (since, 2N =Nt and t =2)
N/2N = e^{2k}
1/2 = e^{2k}
please help me to understand how this problem was solved. if you aren't going to explain don't even bother. no trolling :0
Answer:
see below
Step-by-step explanation:
In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.
In order for a word phrase or sentence to translate to an equation, it must have an equality
statement.
O True
O False
The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex]
Using the factor theorem, we have
[tex]7x^2+x-5=7(x-a)(x-b)[/tex]
and expanding gives us
[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]
So we have
[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]
A plane started on a flight at 9:30 a.m and arrived at its destination at 1:45pm. The plane used 51 gallons of gas. The number of gallons used per hour was
Will mark Brainlist
Answer:
12 gallons per hour
Step-by-step explanation:
Given the following :
Start time of flight = 9:30 a.m
Arrival time of flight = 1:45p.m
Gallons of gas used during duration of flight = 51 gallons
Number of hours spent during flight:
Arrival time - start time
1:45 pm - 9:30 am = 4hours and 15minutes
4hours 15minutes = 4.25hours
If 4.25hours requires 51 gallons of gas;
Then 1 hour will require ( 51 / 4.25)gallons
= 51 / 4.25
= 12 gallons
A school has 6 3/4 kg of detergent in stock. During ' Use Your Hands ' campaign, each class will be given 3/8 kg of detergent. There are 28 classes in the school.
(a) What fraction of the school will be supplied with the detergent in stock?
(b) How much detergent will be required altogether for the whole school?
(c) How much more detergent does the school need to order?
(d) If the school gives out the detergent in stock to the 15 lower secondary classes first,
(i) how much detergent will be given out;
(ii) how much detergent in stock will be left?
Answer:
Step-by-step explanation:
Total stock available = 6 x 3/4 = 18/4
Detergent given to each class=3/8
Total number of classes in the school = 28
Total detergent required by the school=3/8*28
=42/4
a. Fraction if the school who will get the detergent=18/42
b. Total required detergent for the whole school= 42/4
c. School needs to order = 42/4 - 18/4
= 24/4
= 6
d. i. Detergent given out to 15 classes = 15 x 3/8
= 45/8
ii. There will be no detergent left in stock
Tucker is painting his pool deck over the weekend. The area of the deck is 76 1 2 square meters. He paints 2 3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?
Answer:
25 1/2 square meters remaining
Step-by-step explanation:
Total area of the pool deck=76 1/2 square meters
He painted 2/3 of the deck before stopping for lunch
Total painted=2/3 of 76 1/2
=2/3*153/2
=306/6
=51 square meters
Total remaining=Total area - total painted area
=76 1/2 - 51
=153/2 - 51
=153-102/2
=51/2
=25 1/2 square meters remaining
Carter is choosing clay for his pottery class. Clay is sold in three different-shaped solids at the craft store. The dimensions of each of these shapes is shown below.
Answer:
[tex]\boxed{V_{cone} = 1017.36\ in.\³}[/tex]
[tex]\boxed{V_{cylinder} = 3052.08\ in.\³}[/tex]
[tex]\boxed{V_{sphere} = 3052.08\ in.^3}[/tex]
Step-by-step explanation:
Volume of Cone:
[tex]\sf V = \frac{1}{3} \pi r^2 h\\Where\ r = 9 , h = 12\\ V = \frac{1}{3} (3.14)(9)^2(12)\\V = \frac{1}{3} (3.14)(81)(12)\\V = \frac{1}{3} 3052.08\\[/tex]
V = 1017.36 in.³
Volume of Cylinder:
[tex]\sf V = \pi r^3h\\V = (3.14)(9)^2(12)\\V = (3.14)(81)(12)[/tex]
V = 3052.08 in.³
Volume of Sphere:
[tex]\sf V = \frac{4}{3} \pi r^3\\Where \ r = 9 \ in\\V = \frac{4}{3} (3.14)(9)^3\\V = \frac{4}{3} (3.14)(729)\\V = \frac{9156.24}{3}[/tex]
V = 3052.08 in.³
Answer:
[tex]\boxed{\sf V_{cone} = 1017.36\ in \³}\\\boxed{\sf V_{cylinder} = 3052.08\ in\³}\\\boxed{\sf V_{sphere} = 3052.08\ in^3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3} \pi (9)^2 (12)\\324 \times 3.14 \\ 1017.36[/tex]
[tex]\pi (9)^2 (12)\\972 \times 3.14\\ 3052.08[/tex]
[tex]\frac{4}{3} \pi (9)^3\\972 \times 3.14\\3052.08[/tex]
The triangles are similar. Solve for the missing segment.
Answer:
56
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{35+20}{20}[/tex] = [tex]\frac{32+?}{32}[/tex] ( cross- multiply )
20(32 + ?) = 1760 ( divide both sides by 20 )
32 + ? = 88 ( subtract 32 from both sides )
? = 56
Answer:
[tex]\boxed{56}[/tex]
Step-by-step explanation:
We can use ratios to solve since the triangles are similar.
[tex]\frac{20}{32} =\frac{35}{x}[/tex]
Cross multiplication.
[tex]20x=35 \times 32[/tex]
Divide both sides by 20.
[tex]\frac{20x}{20} = \frac{35 \times 32}{20}[/tex]
[tex]x=56[/tex]
Can someone help me with this please? Question and possible answers down below
Answer: D) CPCTC
Step-by-step explanation:
step 6 proves the triangles are congruent.
step 7 states that if the triangles are congruent, then parts of the triangle are congruent.
Congruent Parts of Congruent Triangles are Congruent (CPCTC)
PLEASE HELP ME WITH THIS PROBLEM ASAP!!!
Answer:
220 units
Step-by-step explanation:
ER = ET = 33 tangents from same poiint
DE = 59 => DS = DR = 59-33 = 26
DC = 77 => CR =CT = 77-26 = 51
Perimeter
= 2 *( ES + DR + CT )
= 2* (33 + 26 + 51)
= 220
Credit and thanks to ValerieUlbrich. :)
How much does a composition notebook weigh?
Answer:
11.2 ounces
Step-by-step explanation:
Factor the expression
Answer:
Step-by-step explanation:
Your difference of perfect cubes formula is given as
[tex](a-b)(a^2+ab+b^2)[/tex] and you have already correctly identified a as [tex]5q^2[/tex] and b as [tex]r^2s[/tex]. So we fill in the formula as follows:
[tex](5q^2-r^2s)((5q^2)^2+(5q^2)(r^2s)+(r^2s)^2)[/tex] and we simplify. Remember that
[tex](5q^2)^2=(5)^2*(q^2)^2=25q^4[/tex]. It's important that you remember the rules.
Simplifying then gives us
[tex](5q^2-r^2s)(25q^4+5q^2r^2s+r^4s^2)[/tex]
That's it, so fill it in however you need to on your end. Learn the patterns for the sum and difference of cubes and it will save you a ton of headaches...promise!!
what is the equation of 7/12=blank×1/2
Answer: x = [tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
7/12 = 1/2x
Multiply by 2
14/12=x
x = 1 1/6
Hope it helps <3
Simplify the expression (4x+22x)/(2x)
Answer:
The answer is 13.
Step-by-step explanation:
here, ( 4x+ 22x)/2x
taking 2x common we get, 2x(2+11)/2x
=13 ..... is answer ( as 2x gets cancelled)
Hope it helps..
Please answer this in two minutes
Answer:
4.5cm
Step-by-step explanation:
Using Sine Rule:
a/sinA = b/sinB = c/sinC
step:
7/sin90 = TU/sin40
TU = 7/sin90 X sin40
TU = 4.4995
TU = 4.5cm
MAKE ME AS THE BRAINLIEST
On a separate piece of graph paper, graph y = |x - 3|; then click on the graph until the correct one appears.
ps : there's another picture it just didn't let me edit it its the opposite side of the shape facing up the graph.
Answer: Graph is shown in the attached image below
This is a V shaped graph with the vertex at (3,0). The V opens upward
Explanation:
The equation y = |x-3| is the result of shifting the parent function y = |x| three units to the right. The vertex moves from (0,0) to (3,0). The "x-3" portion moves the xy axis three units to the left. If we held the V shape in place while the xy axis moved like this, then it gives the illusion the V shape moved 3 spots to the right.
Side note: the equation y = |x-3| is composed of two linear functions y = x-3 and y = -x+3. The value of x will determine which gets graphed. When x < 3, then we'll graph y = -x+3; otherwise we graph y = x-3. This is known as a piecewise function.
The step function g(x) is defined as shown. g(x) = StartLayout Enlarged left-brace 1st row 1st column negative 3, 2nd column x less-than-or-equal-to 0 2nd row 1st column 2, 2nd column 0 less-than x less-than-or-equal-to 4 3rd row 1st column 5, 2nd column 4 less-than x less-than-or-equal-to 10 EndLayout
Answer:
{–3, 2, 5}
Step-by-step explanation:
The range refers to the values for the axis i.e to be dependent when there is a defined function
And the range is the combination of the integer i.e to be compounded by these three values
Data provided in the question
-3 , x ≤ 0
2, 0 < x ≤ 4
5, 4 < x ≤ 10
Based on the above information, the range of g(x) is {-3,2,5}
Hence, the correct option is c.
Answer:
C
Step-by-step explanation:
Determine the money factor for a lease with an interest rate of 9%
Answer:
0.00375
Step-by-step explanation:
The money factor for a lease is used to determine how much is charged monthly on a lease payment. If the money factor is low, the lease payment is low making it a good transaction but if the money factor is high, the lease payment is also high and this is not desirable. The money factor is given by:
Money factor = Interest rate / 2400
Given an interest rate of 9%, the money factor is calculated as:
Money factor = Interest rate / 2400 = 9% / 2400 = 0.00375
PLEASEEEEEE HELPPPPP Which of the following is the surface area of the right cylinder below?
The correct answer is D. [tex]72 \pi[/tex] [tex]units^{2}[/tex]
Explanation:
The surface area refers to the sum of the area of all sides in a 3D shape such as a cube or cylinder. Additionally, the formula used to calculate the surface area varies with the shape. In the case of cylinders, the general formula is [tex]A = 2\pi r h + 2\pi r^{2}[/tex]. Moreover in this, the r represents the radius (measure from the center of a circle to any side), while the h represents height. Below, all the process is shown:
[tex]A = 2\pi r h + 2\pi r^{2}[/tex]
[tex]A = 2\pi (8 x 3) + 2\pi 8^{2}[/tex]
[tex]A = 2\pi 24 + 2\pi 64[/tex]
[tex]A = 48\pi + 128\pi[/tex]
[tex]A = 176\pi[/tex]
In this point, you have the answer without solving [tex]\pi[/tex] (3.1416). This makes option A the correct answer.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
The correct answer should be D.
ebony is solving a quadratic equation. she wants to find the value of x by taking the square root of both sides of the equation. which equation allows her to do this?
a. x^2 - 8x + 64 = 32
b. x^2 - 144x + 12 = 13
c. x^2 - 6x - 9 = 15
d. x^2 - 4x + 4 = 36
Answer:
D
Step-by-step explanation:
x^2 - 4x + 4 = 36
Take the square root on both sides.
x - 2x + 2 = 6
Answer:
Bottom right on TTM/Imagine Math on the question asked it is d.
Step-by-step explanation:
A square and a regular heptagon are coplanar and share a common side $\overline{AD}$, as shown. What is the degree measure of exterior angle $BAC$? Express your answer as a common fraction.
Answer:
[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]
Step-by-step explanation:
The interior angle of a regular heptagon = = 900/7° = 128.57°
Therefore, angle DAB = 128.57°
The interior angle of the square = 90°
Therefore, angle DAC = 90°
Therefore, we have
angle DAB+ angle DAC + angle BAC = 360° (sum of angles at a point (A))
Angle BAC = 360° - angle DAB - angle DAC = 360° - 900/7° - 90° = 990/7°
Angle BAC = 141.43°
Expressing 141.43° as a common fraction gives;
[tex]141.43 ^{\circ}= \dfrac{990}{7} ^{\circ}=141\frac{3}{7} ^{\circ}[/tex]
[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]
The degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex]
Given, A square and a regular heptagon are coplanar as shown in below figure attached.
We have find the exterior angle of BAC.
We know that, The formula that gives the interior angle measure for a regular polygon with any number of sides is,
[tex]\frac{180(n-2)}{n}[/tex] where n is the number of sides.
Since the heptagon has 7 no. of sides.
So regular heptagon's interior angle measures,
[tex]\frac{180(7-2)}{7}=128\frac{4}{7}[/tex]
Hence [tex]\angle A[/tex] will be[tex]128\frac{4}{7}[/tex] degrees.
We know that a square's interior angle is 90 degrees and a heptagon's interior angle is 128.57 degrees. We will subtract those from 360 degrees to find angle BAC.
[tex]\angle BAC = 360 - (\angle A + 90)\\[/tex]
[tex]\angle BAC = 360 - (128\frac{4}{7} + 90)\\\angle BAC=141\frac{3}{7} ^\circ[/tex]
Hence the degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex].
For more details on Exterior angle follow the link:
https://brainly.com/question/2125016
Equivalent equation to 19-6(-k+4)=
Answer:
-5+6k
Step-by-step explanation:
19-6(-k+4)=16+6k-24=6k-5
Answer:
6k-5
Step-by-step explanation:
19-6(-k+4)=
19+6k-24=
6k-5
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5?
Answer: (1.5,-3) and (4.5, -3)
Step-by-step explanation:
The dilation rule to dilate a point (x,y) by a scaler factor of k is given by :0
[tex](x,y)\to (kx,ky)[/tex]
Given: A Line Segment has the points (1,-2), and (3,-2).
Scale factor = 1.5
Then, the new points after dilation will be :
[tex](1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)[/tex]
[tex](3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)[/tex]
Hence, the new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)