Answer: 30.85%.
Step-by-step explanation:
Let X denotes the score of random student.
Given: [tex]\mu = 50[/tex] and [tex]\sigma=10[/tex]
We assume that scores are normally distributed.
Then , the probability that a a student score higher than 55:
[tex]P(X>55)=P(\dfrac{X-\mu}{\sigma}>\dfrac{55-50}{10})\\\\=P(Z>0.5) \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<0.5)\\\\=1-0.6915\ [\text{By p-value table for z}]\\\\= 0.3085[/tex]
Hence, the percent of students have a higher score than hers is 30.85%.
help...* * +++:)> ......
Answer:
Hey there!
7(3x-1)-(x+5)=-52
21x-7-x-5=-52
20x-12=-52
20x=-40
x=-2
Find the value of x. A. 40 B. 15 C. 28 D. 20
Answer:
x = 15
Step-by-step explanation:
Angle Formed by Two Secants = 1/2(DIFFERENCE of Intercepted Arcs)
2x +15 = 1/2 (10x+20 - 80)
Multiply by 2
4x+30 = (10x+20 - 80)
Combine like terms
4x+30 = 10x-60
Subtract 4x from each side
30 = 6x-60
Add 60 to each side
90 =6x
Divide by 6
15 =x
Answer:
B.) 15
Step-by-step explanation:
I got it correct on founders edtell
Determine whether the following sequence is arithmetic, geometric, or neither. 1, 4, 9, 16,
Answer:
neither
Step-by-step explanation:
Solve for x. 2x+5+6x-1=120
Answer:
x=14.5
Step-by-step explanation:
2x+5+6x-1=120
Combine like terms (combine all of the variables and then combine all of the constants)
8x+4=120
subtract 4 on both sides
8x=116
Divide 8
x=14.5
Hope this helps!
-16 + 12 ? can somebody help pleaseeeeeeeeee !
Answer:
-4
Step-by-step explanation: I think of this by turning it to a subtraction problem. 16-12=4. But you still do have to add the negitive symbol
Answer:
-4
Step-by-step explanation:
its easier to think of it as 16-12 then if the negative number is greater than the positive add a negativ esymbol.
Hoped i explained that good enough.
Factor ^2 - 4x + 4.
x^2 - 4x +4=
This is the same as [tex](x-2)^2[/tex]
============================================
Explanation:
The middle coefficient is -4 and the last term is 4.
We need to find factors of the last term that add to the middle coefficient.
Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.
-1 + (-4) = -5-2 + (-2) = -42 + 2 = 41 + 4 = 5The second row of that list above is what we're after. So
-2 + (-2) = -4
-2 * (-2) = 4
Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor
We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.
find
[tex] \frac{dy}{dx \: } of \: \frac{x {}^{2} }{a {}^{2} } + \frac{y {}^{2} }{b { }^{2} } = 1 \\ \\ if \: x = a \cos( \alpha \:) \: and \: \: y \: = b \sin( \alpha ) [/tex]
pls help me
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
select the equivalent expression
Answer:
B
Hoped I helped
Jeremy spends 44 minutes eating dinner with his family. Jeremy finishes eating dinner at 6:09. What time did the clock show when Jeremy started eating dinner?
Answer:
5:25
Step-by-step explanation:
Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.
6:09 is the same as 5:69.
6:09 = 5:69
Now subtract 44 minutes from 69 minutes.
5:69 = 0:44 = 5:25
Answer: 5:25
Answer:
5:25
Step-by-step explanation:
Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.
6:09 is the same as 5:69.
6:09 = 5:69
Now subtract 44 minutes from 69 minutes.
5:69 = 0:44 = 5:25
Answer: 5:25
Area of composite shapes
Answer:
26cm²
Step-by-step explanation:
Parallelogram: 4x5=20
Triangle: 1/2(3)(4)=6
Total = 20+6=26cm²
solve for j : 16 = j + -3
Answer:
[tex]\boxed{j=19}[/tex]
Step-by-step explanation:
Hey there!
Given the following,
16 = j -3
Single out j
+3 to both sides
19 = j
Hope this helps :)
how do you find the area of a square or rectangle, i need an example to go with it too
The blue and orange lines represent a system. Use the sliders to manipulate the orange line to determine which equations would create a system that has no solution. Check all that apply. Hint: Convert to slope-intercept form.
Answer:
The answer is "Option A, D, and E".
Step-by-step explanation:
The choices were missing in the question. so, very first, we defined the choices and then we explain why it will be correct.
Missing data:
[tex]A) \ 2x+y=-5 \\B) \ y-3=2x \\C) \ x+y=-2 \\D) \ -2x=y \\E) \ 2x=4-y\\[/tex]
Solve the above value in the form of "[tex]\bold{ y = mx + c}[/tex]", where m= gradient and c= line that cuts on the y-axis.
[tex]A) 2x + y = -5\\\\D) -2x = y\\\\E) 2x = 4- y\\\\[/tex]
Answer:
A,D,E
Step-by-step explanation:
Miltiply and simplify (6x - 1)(2x +3)
Answer:
[tex]\Huge \boxed{12x^2 +16x-3}[/tex]
Step-by-step explanation:
[tex](6x - 1)(2x +3)[/tex]
Expand brackets using the FOIL method.
[tex]6x(2x +3)-1(2x+3)[/tex]
[tex]12x^2 +18x-2x-3[/tex]
Combine like terms.
[tex]12x^2 +16x-3[/tex]
Answer: 12[tex]x^{2}[/tex] +16x -3
Step-by-step explanation:
Multiply the numbers by applying the distributive property twice.
2x(6x -1) = 12x^2 - 2x
3( 6x -1) = 18x - 3
Now put them together.
12[tex]x^{2}[/tex]- 2x + 18x -3 Combine likes terms
12[tex]x^{2}[/tex] +16x - 3
simplify: 3x+8 -5x +10
Answer:
-2x +18 or 18 - 2x
Step-by-step explanation:
You have 3x and you have -5x so take 5 away from 3 to get -2x
Then you have +8 and +10 so add them together and you get an answer of 18
Put the two answers from the equation together and you have got 18-2x
Hope this helps :)
Start by changing the problem to 3x + 8 + -5x + 10.
Combine like terms → your numbers and your "x" terms.
So 3x + -5x is -2x and 8 + 10 is 18.
So the answer is -2x + 18.
PLEASE SHOW ALL WORK NEED ASAP GIVING BRAINLIEST
Step-by-step explanation:
From the figure we observe :
Length of laundry room (G) = C - H
G = (4x - 2) - (x + 6) = 3x - 8
Breadth of laundry room (F) = K - E
F = (2x - 5) - (x - 13) = x + 8
(A) Perimeter = 2(L + B)
= 2(4x)
= 8x
(B) Area = L * B
= (3x - 8) * (x + 8)
= 3x^2 + 16x - 64
Can someone help pleassssssseeeeee!!!!!!!!!????????? ILL MARK BRAINLIEST!!!!
Answer:
[tex]b-17[/tex]
Step-by-step explanation:
So, Tanvi started with b buttons.
And she gave away 17.
Since she "gave away," this means that we should use subtraction.
Therefore, she now has b-17 buttons.
Our expression is:
[tex]b-17[/tex]
In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, Measure of angle G = 80 degrees, and Measure of angle H = 55 degrees. If Triangle A B C is congruent to triangle G H F, which statement is true?
Answer:
AB = 10.6 cm
Step-by-step explanation:
In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?
A. AB = 12.3 cm
B. AB = 10.6 cm
C. M angle C=55 degrees
D. M angle C=80 degrees
Answer:
If triangle ABC ≅ GHF, This means triangle ABC is congruent to triangle GHF.
Two triangles are congruent if the three sides and three angle of one triangle is equal to the three sides and three angle of the other triangle.
Hence the corresponding sides and angles of triangle FGH is equal to the corresponding side and angle of triangle ABC.
AB = GH
AB = 10.6 cm
m∠F + m∠G + m∠H = 180° (sum of angles in a triangle)
m∠F + 80 + 55 = 180
m∠F + 135 = 180
m∠F = 180 - 135 = 45
m∠F = 45°
m∠F = m∠C
m∠C = 45°
Answer:
its B
Step-by-step explanation:
In a pyramid, the area of the base, A, is measured by the formula A=3v/h, where V= volume and h=height. Solve the formula for h
A cosmetics company tested a new lotion. Of the 2,500 people tested, 15 had an allergic reaction. What percent of the people tested did not have an allergic reaction to the new lotion?
Answer:
99.4%
Step-by-step explanation: 2500 - 15 = 2485
2485/2500 = 0.994 x 100 = 99.4%
Answer:
99.4%
Step-by-step explanation:
Total number of people tested = 2500
People who had allergic reaction = 15
People who didn't have allergic reaction = 2500 - 15 = 2485
Percentage = Part of a whole / The whole
=> 2485 / 2500
=> 497 / 500
=> .994
To convert a decimal into percent:
=> We need to make the decimal point move 2 times to the right
=> .994
=> 99.4%
So, 99.4% of the people who were tested, didn't have an allergic reaction.
A 15 foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the wall. How high up the wall is the ladder? Round to the nearest tenth if necessary.
Answer:
13.26
Step-by-step explanation:
The computation of the height should be computed by using the Pythagoras theorem
As we know that
Hypothenuse^2 = base^2 + height^2
where,
Hypothenuse is 15 foot
And, the foot of the ladder i.e base is 7
So now placing these values
The height is
15^2 = 7^2 + height^2
225= 49 + height^2
After solving this, the height is 13.26
what is 1 5/8 in decimal form?
Answer:
1.625
Step-by-step explanation:
So you have to convert the 5/8ths into something that can go into 10.
So 100/8 is equivalent to 12.5. But you'll have to make that into decimal form, so move that 2 places to the right, to get 0.125. 0.125 times 5 is 0.625. And 1 is just 1 as a whole number. 1 plus 0.625 is 1.625.
The decimal form of the given number [tex]1\frac{5}{8}[/tex] is 1.625
What is the decimal form of a number?In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Given is a fractional number [tex]1\frac{5}{8}[/tex], we need to find the decimal form of it,
Converting [tex]1\frac{5}{8}[/tex] into fraction,
[tex]1\frac{5}{8}[/tex] = 13/8
When we divide 13 by 8, we will get 1.625
Hence, the decimal form of the [tex]1\frac{5}{8}[/tex] is 1.625
Learn more about decimal form, click;
https://brainly.com/question/20130583
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does this table show y as a function of x ?
: (-3,1) (0,-5) (4,7) (-3,0)
Answer:
No.
Step-by-step explanation:
The definition of a function is that every output (x) has only one input (y).
Here -3 gives two different outputs which contradicts the definition of a function.
10 subtracted from the sum of a triple number and 12
Answer:
(3x+12)-10
Step-by-step explanation:
If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term? A) 12 B) 2 C) -35 D) 35
Answer:
B) 2
Step-by-step explanation:
a3 = 7 , d = -5 (GIVEN)
a4 = a3 + d
= 7 + (-5)
= 7 - 5
a4 = 2
HOPE IT HELPS (✷‿✷)
Answer:
[tex]\Huge \boxed{a_4=2}[/tex]
Step-by-step explanation:
The third term in an arithmetic sequence is 7.
The common difference is -5.
The common difference of an arithmetic sequence is found by subtracting a term in the sequence with the previous term.
[tex]d=a_4-a_3[/tex]
Solving for the fourth term.
[tex]a_4 = a_3 + d[/tex]
Plugging in the values and evaluating.
[tex]a_4=7+-5[/tex]
[tex]a_4=2[/tex]
The value of the fourth term is 2.
Two fair dice are tossed together once. Find the probability that the sum of the outcome is at least 10
Answer: p = 1/6.
Step-by-step explanation:
First, we have two fair dice, so we have two events.
The number of outcomes for each dice is 6, then the total number of outcomes for the two dice is equal to the product of the number of outcomes in each event.
C = 6*6 = 36.
Now, the combinations that have a sum larger than 10 are:
4 and 6.
6 and 4
5 and 5
5 and 6
6 and 5
6 and 6.
So we have 6 outcomes where the sum of both numbers is larger than 10.
Now, the probability will be equal to the quotient between the number of outcomes where the sum is larger or equal than 10, and the total number of outcomes:
P = 6/36 = 1/6.
An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x
Answer:
x = 250,000
Step-by-step explanation:
A = P(1 + rt)
550,000 = x (1 +2% x 60)
550,000/(1 +2% x 60) = 250,000
x = 250,000
Check your answer
A = 250,000 (1+2%x60)
A = 550,000
pls mark brainliest
If the measure of arc HG = 93°, calculate angle HDG.
Answer:
∠HDG = 87°
Step-by-step explanation:
The angle made by two tangents is the supplement of the intercepted arc.
∠HDG = 180° -HG = 180° -93°
∠HDG = 87°
James truck shows that his average gas mileage per day is 29 miles per gallon of gas. If james drives about 87 miles each day about how much gas does he use in 14 days of driving
Answer: 42 gallons
Step-by-step explanation:
given data:
average gas mileage/day = 29miles/gallon
distance travelled each day by James = 87miles
How much gas does he use in 14days drive.
solution:
james drives 87miles daily, so in 14 days he would have travelled
= 87miles * 14
= 1218miles travelled.
gas used in 14days
1218miles distance traveled in 14 days
29miles/gallon
= 1218miles / 29miles
= 42gallons of gas have been used by janew to fuel his truck in 14days.
Please help!! due very soon
Answer:
x=12°, ∡B=48°
Step-by-step explanation:
∡A=∡B
5x-12=2x+24
5x-2x=24+12
3x=36
x=12°
∡B=2*12+24°=48°