Answer:
720
Step-by-step explanation:
To solve this question, we would be using the formula for z- score
The formula for calculating a z-score is z = (x-μ)/σ
where x = raw score
μ = population mean
σ = sigma = population standard deviation.
From the question, we are given
The mean of a set of credit scores Mu = 690
sigma = population standard deviation 14
z - score = 3.3
This means we are to find x
z = (x-μ)/σ
3.3 = x - 690/ 14
Cross Multiply
3.3 × 14 = x - 690
46.2 = x - 690
x = 690 + 46.2
x = 736.2
Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720
Answer:
c. 720
Step-by-step explanation:
on edge
Pls help me with this quick
Answer:
-9
y= x + 3
2
2
Step-by-step explanation:
its simple just follow my steps
Answer:
Step-by-step explanation:
[tex]g^{-1} (-3)=7\\[/tex]
let h(x)=y
y=2x-3
flip x and y
x=2y-3
2y=x+3
[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]
GO
Solve:
10
= 2
a. x = 5
B. x = 10
C. X = 20
d. x = 15
Please select the best answer from the choices provided
Answer:
the answer is C:x=20 I used a calculator
Assume the weight of adult males is normally distributed. The following weight of adult males in lbs taken in a recent study. 150 152 154 155 156 158 158 160 161 163 164 165 165 166 166 166 167 167 168 169 171 172 174 174 176 177 178 179 179 181 183 Assume the standard deviation for weight is 10 lbs. A recent boat seat is graded for between 160 and 175 lbs. What percentage of males would be able to use this boat seat?
Answer:
80%
Step-by-step explanation:
The number of males with weight between 160 and 175 lbs is 12
So since we were told that the boat seat is graded for males with 160 to 175lbs
=175lbs-160 lbs =15
=12/15*100
=80%
6.07 which expressions are equivalent to 3(x + 3y + 2x - y
Answer:
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Step-by-step explanation:
Given
[tex]3(x + 3y + 2x - y)[/tex]
Required
Possible Equivalents
To start with; we need to simplify the expression in the bracket;
[tex]3(x + 3y + 2x - y)[/tex]
Collect like terms
[tex]3(x + 2x + 3y - y)[/tex]
[tex]3(3x +2y)[/tex]
At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Solving further, by expanding the bracket
[tex]3(3x +2y)[/tex]
[tex]3*3x +3*2y[/tex]
[tex]9x +6y[/tex]
At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Hence,
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c= 5/9(F – 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is
longer than half the circumference of the circle. Find the measure of the major
arc ABC
Answer: Major arc = ∅/360 (2πr)
Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.
Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.
If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.
Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as
60/360
This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the central angle by the entire length of the circumference.
Therefore you can calculate the measure of major arc ABC by applying the formula
Length of an arc = ∅/360 (2πr)
Where ∅ is the angle enclosing the arc at the center of the circle
r is the radius of the circle and
π is usually given as 3.14 (or 22/7)
Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.
And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;
Angle of major arc = 360 - angle of minor arc
Which is the graph of 2x - 4y > 6?
4
TY
417
41Y
N
2.
N
N
a
2
4
2
4 -2
-2
-4 -2
-2
2
-4-2
2
AN
-2
X
Answer:
Step-1: the x-intercept and the y-intercept
2x - 4y = 6
For y = 0, we get the x-intercept.
2x - 4(0) = 6
2x = 6, and then divide by two on both sides.
Hence, the x-intercept is
For x = 0, we get the y-intercept.
2(0) - 4y = 6
-4y = 6, and then divide by -4 on both sides.
Hence, the y-intercept is y = -3/2 = ( 0, -3/2)
The graph of the inequality 2x - 4y > 6 is the same as y < 0.5x - 1.5
How to determine the graph?The inequality is given as:
2x - 4y > 6
Divide through by 2
x - 2y > 3
Subtract x from both sides
- 2y > -x + 3
Divide both sides by -2
y < 0.5x - 1.5
See attachment for the graph of the inequality 2x - 4y > 6
Read more about inequalities at:
https://brainly.com/question/11234618
Consider the density curve below.
0.25
х
1
2
3
4
5
Find the percent of the area under the density curve where x is less than 4.
Answer:
Check Explanation.
Step-by-step explanation:
Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.
From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.
Total Area under the curve = ½×base×height
= ½ × (5-1) × 0.5 = 1 square unit
Area under the density curve where x is less than 4 is a trapezium.
Area of a trapezium = ½ (a+b) h
For the area under the density curve where x is less than 4,
a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3
Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit
In terms of the total area, Area under the density curve where x is less than 4 covers
(0.9375/1) × 100% = 93.75%
Hope this Helps!!!
18. About 4 inches separate Oklahoma City, Oklahoma, and Dallas, Texas, on a
map. If 1 inch on the map represents 105 miles, what is the approximate distance
between Oklahoma City and Dallas?
Answer:
420 miles
Step-by-step explanation:
4*105=420 miles
for 1 inch is 105
for 4 inches=105*4=420
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer:
8 mph
Step-by-step explanation:
The lorry's shortest route:
60 miles in 1.5 hours
speed = distance/time = (60 miles)/(1.5 hours) = 40 mph
The longer route:
time = 1.5 hours
distance = 20% more than 60 miles = 1.2 * 60 miles = 72 miles
speed = distance/time = (72 miles)/(1.5 hours) = 48 mph
Difference in speeds: 48 mph - 40 mph = 8 mph
plz help me i need it today
Answer:
Question #3:T-Bone
Question #4:51 cars
Step-by-step explanation:
Question #3: divide each cost by 16 because 1 pound=16 oz
Question #4: 32/5 times 8=51.2 cars
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation:
If f(x) = x2 and g(x) = 3x - 1 find [ gºf(x)
Answer:
gºf(x) = [tex]3x^2 -1[/tex]
Step-by-step explanation:
Given
f(x) = x2
g(x) = 3x - 1
To find
gºf(x)
To find gºf(x) we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)
lets do that
g(x) = 3x - 1
gºf(x) = 3(f(x)) -1
gºf(x) = [tex]3x^2 -1[/tex]
Thus, value of gºf(x) is [tex]3x^2 -1[/tex].
What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
Help please will mark u brainliest !!!!!
Step-by-step explanation: To make a line paralle to another, the slope has to be the same such as the "m" in "y=mx+b" the y-intercept or "b" could be different. In this case, the slope is -7. So the question mark should be -7.
Answer:
The correct answer is
[tex]y = -7x -3[/tex]
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula [tex]y-y1= m (x-x1)[/tex] to find the line parallel to [tex]y= -7x+2[/tex]
[tex]y=-7x-3[/tex]
Hope this helps!
- Quinn <3
Khan academy question
Answer:
(2,5)
Step-by-step explanation:
There you go.........
Answer:
[tex](2, 5)[/tex]
Step-by-step explanation:
[tex]y=2x+1[/tex]
[tex]x-y=-3[/tex]
[tex]x-(2x+1)=-3[/tex]
[tex]x-2x-1=-3[/tex]
[tex]-x-1=-3[/tex]
[tex]-x=-3+1[/tex]
[tex]-x=-2[/tex]
[tex]x=2[/tex]
[tex]y=2x+1[/tex]
[tex]y=2(2)+1[/tex]
[tex]y=4+1[/tex]
[tex]y=5[/tex]
Read the claim about "The Most Dangerous Game,” by Richard Connell. RA teacher instructs students to write an argumentative essay about "The Most Dangerous Game.” Read the claim and reason one student writes and then answer the question. Claim: The general does not play fair in his game. Reason: He uses trickery to lure his prey. Which quote from the story provides the best evidence to support the student’s reason? "The island is perfect for my purpose—there are jungles with a maze of traits in them, hills, swamps—" Every day I hunt, and I never grow bored now, for I have a quarry with which I can match my wits." '"And the answer was, of course, 'It must have courage, cunning, and, above all, it must be able to reason.'" "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."ead the claim about "The Most Dangerous Game,” by Richard Connell. Zaroff considers himself to be a god-like figure. What is the most effective concluding statement? Zaroff is so proud himself, he seems to believe he should be worshipped by others like a god. Zaroff lives in a castle and watches out, believing he is in charge, much like a mythical god. Throughout the story “The Most Dangerous Game,” Zaroff’s actions suggest he is a god. Zaroff believes he is a god, as he alters the fate of sailors and controls men’s actions.Zaroff considers himself to be a god-like figure. What is the most effective concluding statement? Zaroff is so proud himself, he seems to believe he should be worshipped by others like a god. Zaroff lives in a castle and watches out, believing he is in charge, much like a mythical god. Throughout the story “The Most Dangerous Game,” Zaroff’s actions suggest he is a god. Zaroff believes he is a god, as he alters the fate of sailors and controls men’s actions.
Answer: D) "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."
Explanation: In this part of "The Most Dangerous Game" General Zaroff explains to Rainsford that he hunts humans in his island, and when Rainsford asks why men keep going to the island, the general lights a signal that indicates a channel where there is none, so when the ships were destroyed by the rocks, the sailors are forced to swim to the general's island, where they are hunted, this support the claim that The general does not play fair in his game.
Answer:
D) "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."thank me later:)
Square ABCD has a side length of 12 centimeters . Find the area of the square Type a numerical answer in the space provided Do not include units or spaces in your answer
Answer:
144
Step-by-step explanation:
Area of a square is [tex]s^2[/tex]
The side length is 12 cm.
[tex]12^2=144[/tex]
Therefore, the area of the square is [tex]144 \: cm^2[/tex].
Determine the value of the missing exterior angle. options: A) 104° B) 256° C) 72° D) 92°
answer: X would equal 104
Step-by-step explanation:
you would first find the interior angle for the other 2 exterior angles this would lead for the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X
Missing exterior angle is 104°.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In the figure
Measure of exterior angles = 92°, 164°, x°
Sum of exterior angles of triangle is 360°
92° + 164° + x° = 360°
256° + x° = 360°
x° = 360° - 256°
x° = 104°
Hence, 104° is the measure of the missing exterior angle.
Learn more about exterior angle here:
https://brainly.com/question/28835566
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hi can anybody help me with this
Answer:
4872 cm²
Step-by-step explanation:
12*(+9)*12*2+ 13*20+15*20+20*(5+9)= 4872 cm²
For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the snow had melted. How many grams of snow were remaining in the container after the 5 minutes?
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle
Answer:
6 and 2
Step-by-step explanation:
6+6=12
2+2=4
12+4=16
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
Can somebody help me with this. Do you add the 15 to the 2y or subtract it.
Answer:
4
Step-by-step explanation:
[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]
Hope this helps!
PLEASE HURRY Find the sum of the first 10 terms in the series: -3, 9, -27, 81... a. -14763 c. 44286 b. 4920 d. 59049
Answer:
C.
Step-by-step explanation:
First find the pattern. The pattern is you multiply the number before by -3.
Just start with x as the first number.
x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x
Add them all up: -14762
Now multiply by -3:
44286
The required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
here,
For Geometric progression,
a = -3
r = 9/-3 = -3
The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286
Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
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Help please. I’m just totally confuse. You might have to zoom in to solve. Sorry in advance for the terrible quality that’s how I’m seeing it as well
Answer:
I know that (A) is correct for the fisrt one.
Step-by-step explanation:
Where is the blue dot on the number line?
Answer:
0.58 is where the blue dot on the number line is
Answer:
The blue dot is at -0.58
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.