Answers
Answer:
[tex]0.06[/tex]Explanation:
Here, we want to fill out the blank
For us to have a probability distribution, the sum of the individual probabilities should be one
Mathematically, for us to get the value of the blank, we have to subtract the sum of the probabilities from 1. This is because the value of the area under the probability distribution is 1 square unit
Thus,we have it that:
[tex]\begin{gathered} P(-1)\text{ = 1 - (0.11 + 0.25 + 0.36 + 0.18 + 0.04)} \\ P(-1)\text{ = 0.06} \end{gathered}[/tex]Related Questions
You are given the circumference of the circle and the measure of the central angle ACB. Find the length of arc AB.circumference = 36 feet; m ZACB= 40"The length of arc AB isfeet
Answers
the length of arc ACB is 4 ft
Explanation
the length of an arc is given by:
[tex]l=\frac{\theta}{360\text{ \degree}}2\text{ }\pi r[/tex]where l is the length or the arc, theta is the angle in degrees, r is the radius
so
Step 1
find the radius of the circle
[tex]\begin{gathered} 2\text{ }\pi r=36 \\ \text{divide boths ides by 2}\pi \\ \frac{2\text{ }\pi r}{2\text{ }\pi}=\frac{36}{2\pi} \\ r=\frac{18}{\pi} \end{gathered}[/tex]Step 2
now, replace in the formula
Let
angle= 40 °
[tex]\begin{gathered} l=\frac{\theta}{360\text{ \degree}}2\text{ }\pi r \\ l=\frac{40}{360\text{ \degree}}2\text{ }\pi(\frac{18}{\pi}) \\ L=\frac{40}{360}\cdot36 \\ l=4\text{ } \end{gathered}[/tex]therefore, the length of arc ACB is 4 ft
I hope this helps you
The tables of ordered pairs represent some points on the graphs of Lines F and G.
Line F
x y
2 7
4 10.5
7 15.75
11 22.75
Line G
x y
-3 4
-2 0
1 -12
4 -24
Which system of equations represents Lines F and G?
1. y=1.75x+3.5
y=-4x-8
2. same as 1 but -8 is -2
3. 1.75 and 3.5 are switched
4. 2 and 3 combined
Answers
The system of equation that represents lines F and G is (1) y = 1.75x + 3.5, y = -4x-8
To find the system of equation, we will put the values given tables in the equation given in the options.
For option (1)
y = 1.75x + 3.5 (For line F)
let's take the point (2,7) and put in the equation,
y = 1.75*2 + 3.5
= 3.5 +0.35
= 7
which is true.
Hence, (2,7) satisfies the equation.
y = -4x-8 (For line G)
lets take the point (-3,4) and put in the equation,
y = (-4)*(3) - 8
= 12 - 8
= 4
which is true.
Hence, (-3,4) satisfies the equation.
Therefore, Equation for line F is y = 1.75x + 3.5 and equation for line G is y = -4x-8.
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Simplify the expression:9m + 6( m + 7 )
Answers
ANSWER
15m + 42
EXPLANATION
We want to simplify:
9m + 6(m + 7)
To do this, first expand the bracket:
9m + 6m + 42
Now, collect like terms and simplify:
15m + 42
That is the simplified expression.
Last year's freshman class at State University total 5,320 students. Of those 1,262 received a merit scholarship to help offset tuition costs. The amount a student received was N($3,450 , $480). if the cost of a full tuition was $4,050 last year , what percentage of students who received a merit scholarship did not receive enough to cover full tuition ? ( Round to nearest whole percent)Percentage of students ________%
Answers
Answer: We need to find the percentage of students that received a scholarship that did not cover their full tuition:
The number of students that received a scholarship was:
[tex]1262[/tex]The amounts that students received were:
[tex]\begin{gathered} 3,450\text{ Dollars} \\ 480\text{ Dollars} \end{gathered}[/tex]But the actual tuition cost was:
[tex]4050\text{ Dollars}[/tex]Therefore, none of the students that received scholarship had received enough to cover the full tuition, because:
[tex]\begin{gathered} 4050>3450 \\ 4050\text{ }>480 \end{gathered}[/tex]So, 100% of the students that received scholarships, did not receive enough to cover their tuition.
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-2,1) and (-6,5)
Answers
Here, we want to find the equation of the perpendicular bisector of th line segment with the given endpoints
We start by calculating the slope of the line segment
Mathematically, we can have that as;
[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \\ m\text{ = }\frac{5-1}{-6-(-2)}=\text{ }\frac{4}{-4}\text{ = -1} \end{gathered}[/tex]So, we have the slope of the line as -1
Mathematically, the slopes of two lines which are perpendicular to each other have a product of -1
Thus;
[tex]\begin{gathered} m_2\text{ }\times\text{ (-1) = -1} \\ \\ m_2\text{ = 1} \end{gathered}[/tex]Now, we need the midpoint segment coordinates as it is the point through which the perpendicular bisector will pass through
We can get these coordinates using the mid-point formula
That will be;
[tex]\begin{gathered} (x,y)\text{ = (}\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}) \\ \\ (x,y)\text{ = (}\frac{-2-6}{2},\frac{1+5}{2}) \\ \\ (x,y)\text{ = (-4,3)} \end{gathered}[/tex]So we use the point-slope formula to get the equation
That will be;
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-3\text{ = 1(x+4)} \\ y-3\text{ = x + 4} \\ y\text{ = x + 4 + 3} \\ y\text{ = x + 7} \end{gathered}[/tex]I need to see if I answer the problem Correctly
Answers
For every 2 green rattles, it sells 7 yellow rattles.
The ratio of green to yellow rattles sold is: 2:7
Total rattles sold: 108
Yellow rattles sold:
(total rattles/sum of ratio) x yellow ratio
(108/9)*7 = 12*7 = 84 rattles
84 yellow rattles
After watching some fish 40 feet below the surface of the water, a scuba diver went up 15 feet to explore a coral reef Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface. mo Interpret the sum in the context of the problem A. The equation is -40 (-16) 28 The coral reef is 5 feet belo the water's surface
Answers
First he was 40 feet below surface, so he was at -40 feet
The he went up 15, so now he is -40 + 15 = -25, that means 25 feet below surface
So the right equation is D and for the line:
Given cos = 0.9528, find .
Answers
Given:
[tex]\cos \theta=0.9528[/tex]To find the value of θ,
[tex]\begin{gathered} \cos \theta=0.9528 \\ \theta=\cos ^{-1}(0.9528) \\ \theta=17.6739^{\circ} \end{gathered}[/tex]Exercise #1: We would like to find the distance between points A and B if they have coordinates A(2,3) and B(14, 12). B (a) Sketch the right triangle below that could be used to calculate the length of AB and find its length using the Pythagorean Theorem. (b) How could we calculate the lengths of the legs of the right triangle in (a) from the coordinates of points A and B.
Answers
Answer
Check Explanation
Explanation
We've been asked to find the length of the distance between points A (2, 3) and B (14, 12).
a) First of, we've been asked to sketch the right angle triangle that coulb be used to calculate the distance AB
The sketch will be shown below
So, the figure above represents the right angle triangle that can be used to calculate the distance AB
Distance AB = hyp = ?
Distance between the x-coordinates of points A and B = x = 14 - 2 = 12
Distance between the y-coordinates of points A and B = y = 12 - 3 = 9
The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.
The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.
The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are x and y respectively,
x² + y² = (hyp)²
For this question,
x = 12 units
y = 9 units
hyp = AB = ?
x² + y² = (hyp)²
12² + 9² = AB²
144 + 81 = AB²
225 = AB²
We can rewrite this as
AB² = 225
Take the square root of both sides
√(AB²) = √(225)
AB = 15 units
b) The second part of the question asks how we calculated the legs of the right angle triangle that we used to solve this distance between AB.
Since both points lie on given x and y axis levels in the coordinate system, the length of the legs of this right angle triangle is obtained simply by taking the difference between respective x and y coordinates.
For the base of the triangle,
Distance between the x-coordinates of points A and B
= x
= 14 - 2
= 12 units
For the height of the triangle,
Distance between the y-coordinates of points A and B
= y
= 12 - 3
= 9 units
Hope this Helps!!!
To find the height of a display in a museum, a person place a mirror on the ground 35ft from the display. Then he stepped back 5ft so he could see the top of the display. His eyes were about 5'4" from the ground. What is the height of the display?(ill send the image because it was to big)
Answers
Now let's calculate the angle of the first triangle. We will use the tangent function because we have information from the opposite side and the adjacent side.
[tex]\begin{gathered} \tan \theta=\frac{5\text{ ft 4''}}{5\text{ ft}} \\ \end{gathered}[/tex][tex]\begin{gathered} \theta=\tan ^{-1}(1.0666) \\ \theta=46.84\text{ degree} \end{gathered}[/tex]With this angle we can calculate the height of the display. Again we will use the tangent function.
[tex]\begin{gathered} \tan (46.84)=\frac{x}{35} \\ x=35\cdot\tan (46.84) \end{gathered}[/tex][tex]x=37.33\text{ ft}[/tex]The answer would be 37.33 ft the height of the display
GM no isiecrjreieief G k if f D F hi it
Answers
Solution
Proportion is represented by colon:
Graph the following relation. Use the graph to find the domain and range (in interval form) and indicate whetherthe graph is the graph of a function.y = -4 Domain: Range { }
Answers
Given:
[tex]y=-4[/tex]Required:
To draw the graph and find the domain and range.
Explanation:
The graph of the function will be,
We know that,
The domain is the set of all input values for the function and the range is the set of all output values for the function.
Therefore, we get,
[tex]\begin{gathered} Domain:(-\infty,\infty) \\ Range:\lbrace-4\rbrace \end{gathered}[/tex]Yes, it is a function.
Because each input value has exactly one output value.
Final answer:
[tex]\begin{gathered} Domain:(-\infty,\infty) \\ Range:\lbrace-4\rbrace \end{gathered}[/tex]
And it is a function.
Order from Greatest to Least -2.30 , -13/4,-3 1/8,-14/5
Answers
According to the given data we have the following numbers:
-2.30 , -13/4,-31/8,-14/5
To order from Greatest to Least the above numbers first we would have to divide the numerator by the denominator of each of the fractions so we can get the decimal number and so it would be easier to order the numbers.
So:
-13/4=-3.25
-31/8=-3.875
-14/5=-2.8
Therefore, the Order from Greatest to Least of the numbers would be:
-2.30,-14/5,-13/4,-31/8
The two shorter sides of a right triangle measure 18 ft and 24 ft. What is the measure in feet of the third side?
Answers
We have that in a right triangle, the larger side is the hypothenuse since the sum of the others angles must be equal to 90. Thus, we can apply the Pythagorean Theorem to solve this question.
The legs of the triangle are a = 18 ft, b = 24 ft, and c = ?.
Then, applying the Pythagorean Theorem, we have (without using units):
[tex]c^2=a^2+b^2\Rightarrow c^2=(18)^2+(24)^2\Rightarrow c^2=324+576\Rightarrow c^2=900[/tex]Then, taking the square root to both sides of the equation, we have:
[tex]\sqrt[]{c^2}=\sqrt[]{900}\Rightarrow c=30[/tex]Then, the measure of the third side (hypothenuse) is c = 30 ft.
Bob bought a $800 TV on sale for $650. What is the percent he saved?
Answers
Answer:
18.75%
Step-by-step explanation:
Since you want to know what percent he saved, first you have to figure out how much he saved.
800 - 650 = 150
Then to find the percent, find how much 150 is of 800.
[tex]\frac{150}{800} = 0.1875[/tex]
Since we're finding a percentage, multiply by a 100.
0.1875 × 100 = 18.75%
If it said to round, the answer would be 19%, but it doesn't, so keep it at 18.75%.
Which expressions are equivalent to the one below? Check all that apply.log71 •logg 25O A. 2• log77OB. 1O COO D. 5.7
Answers
Problem
[tex]\log ^1_7\text{ . }\log ^{25}_5[/tex][tex]\begin{gathered} =\text{ }\log ^{1\text{ }}_7\text{ x }\log ^{5^2}_5 \\ =\text{ }\log ^1_7\text{ x 2}\log ^5_5 \\ \log ^1_7\text{ = 0 and }\log ^5_5\text{ = 1} \\ =\text{ 0 }\times\text{ 2 }\times\text{ 1} \\ \text{= 0} \end{gathered}[/tex]Final answer
Option C is equivalent to the expression.
What is The percent increase of 78 to 124
Answers
The percent increase of 78 to 124 is: 58.97%
[tex]\frac{\text{ Final value }-\text{ Initial value}}{\text{ Initial value}}\cdot100=\frac{124-78}{78}=58.97\text{ \%}[/tex]rounded to the nearest percent is 59%
Victoria spends the two spinners shown 500 times solve a percent equation to predict the number of times the sum is less than or equal to 3. Enter the correct answers in the boxes.
Answers
Given t spinners :
The first has the numbers : from 1 to 5
The second has the numbers : from 1 to 3
So, the sum is less than or equal to 3 can get if the two spinners give 1 or 2
So, the probability to get 1 or 2 from the first spinner = 2/5
And the probability to get 1 or 2 from the second spinner = 2/3
So, total probability = 2/5 * 2/3 = 4/15 = 26.66%
She spends the two spinners 500 times
So, the equation will be :
[tex]26.66\%\times500=x[/tex]Solve for x:
[tex]26.66\%\times500=133.3[/tex]So, the number of times = 133
Part II: Graph the following inequalities on the coordinate grid provided. 5. y > 2x + 1 4. y
Answers
Given the inequality;
[tex]y\ge2x+1[/tex]to draw the inequality, first we need to graph the line y = 2x + 14
As the sign is > or equal , so the line will be solid line
So, the following image is the graph of the inequality
the shaded area represents the solution of the inequality
=● RATIOS, PROPORTIONS, AND PERCENTSFinding the principal, rate, or time of a simple interest loan or...Try AgainYour answer is incorrect.Alonzo borrowed $800 from a lender that charged simple interest at an annual rate of 9%. When Alonzo paid off the loan, he paid $216 in interest. How longwas the loan for, in years?If necessary, refer to the list of financial formulas. I need help with this math problem please.
Answers
The simple interest rate formula is:
[tex]A=P(1+rt)[/tex]To find the total amount We add:
[tex]A=800+216=1016[/tex]To find the total of years We can clear the t variable in the equation like this:
[tex]\begin{gathered} \frac{A}{P}-1=rt \\ \frac{\frac{A}{P}-1}{r}=t \end{gathered}[/tex]So We will find the time as follows:
[tex]t=\frac{\frac{1016}{800}-1}{0.09}=3[/tex]The loan was for 3 years.
1 Lola collects blood donations at a clinic. 7/16 of the donations are of Type 0, 3/8 are of Type A, and 1/16 are Type AB. The remaining are Type B. What part of the blood donations are Type B?
Answers
Answer:
n=1/8
Explanation:
From the diagram, if we sum up all the parts, we have:
[tex]\frac{7}{16}+\frac{3}{8}+\frac{1}{16}+n=1[/tex]We solve the equation above for n.
The lowest common multiple of 16 and 8 = 16
Therefore:
[tex]\frac{7+6+1}{16}+n=1[/tex]Therefore:
[tex]\begin{gathered} \frac{14}{16}+n=1 \\ n=1-\frac{14}{16} \\ n=\frac{16-14}{16} \\ n=\frac{2}{16} \\ n=\frac{1}{8} \end{gathered}[/tex]The value of n is 1/8.
Every time I type this in a calculator it’s shown 9.99999999999999999999
Answers
Given
[tex]\frac{2}{11}\times\frac{1}{2}[/tex]Answer
[tex]\begin{gathered} \frac{2}{11}\times\frac{1}{2} \\ =\frac{1}{11} \\ =0.909090\ldots \end{gathered}[/tex]The distance between two distinct points: ordered pair 1 (x , y) and ordered pair 2 (x, y) is given by the formula ____?____.(I need the formula)
Answers
Given an ordered pair 1:
[tex]\mleft(x,y\mright)[/tex]And a distinct ordered pair 2:
[tex](x,y)[/tex]You can rewrite them as:
[tex]\begin{gathered} (x_1,y_1) \\ \\ (x_2,y_2) \end{gathered}[/tex]According to the Pythagorean Theorem, for Right Triangles:
[tex]c=\sqrt[]{a^2+b^2}[/tex]Where "c" is the hypotenuse and "a" and "b" are the legs of the Right Triangle.
Then, you can set up that:
Then, to find the hypotenuse of the Right Triangle or the distance "d" between the points, you can apply the Pythagorean Theorem and set up that:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Therefore, the answer is:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]А.
U. 3y2 +y-1
X-8
0.X-8+
G. X-3
+2x+1
D. 2k2+8k+15+
24
1. 3k +16 +-14
R X-1
Y. x2-3x +4 +
E. X+4
M. x2-8x +24 +-68
X+3
T. y2 – 8y +12
1 2 3
4 5
6 7
9
10
11
12
13 14
Answers
SOLUTION
After solving the numbers in front of the letters, we have:
A=4 ,B=14, C=2, D=6, E=1, F=15, G=17, H=27, I=33, J=3, K=40,L=22, M=5
N=19, O=11, P=16, Q=24, R=0, S=12, T=32, U=75, V=18, W=7, X=20, Y=35, Z=36
Now, we will match these numbers to the letters to form words.
4,16,0,33,22: APRIL
12,27,11,7,1,0,12: SHOWERS
5,4,35: MAY
15,22,11,7,1,0,12: FLOWERS
4,19,6: AND
1,18,1,0,35,32,27,33,19,17,12: EVERYTHING
33,19: IN
Maria drove 871 miles in 13 hrs. At the same rate, how many miles would she drive in 8 hours?
Answers
Given data: Distance= 871 and time =13 hrs
Required: Find the distance
Method: Find the speed first and then get the distance
Step 1: Find the average speed
[tex]\text{speed}=\frac{\text{distance covered}}{\text{time taken}}[/tex][tex]\text{speed}=\frac{871}{13}=67\text{ miles/hour}[/tex]Step 2: Find the distance to be covered in 8 hours
[tex]\text{Distance}=\text{ spe}ed\text{ x time taken}[/tex][tex]\begin{gathered} \text{Distance}=67\text{ miles/hour x 8 hours } \\ \text{Distance =536 miles} \end{gathered}[/tex]Therefore, Maria will drive 536 miles in 8 hours
Marisol wants to buy a backpack from the Gucci store. Gucci ishaving a sale of 45% off the regular price. If the regular price of aGucci backpack is $1375.23, then what will the new sale price beafter the discount of 45% is applied?
Answers
Regular price = $1375.23
Discount = 45% of Regular price
The discount = 45% of $1375.23
= 45/100 x $1375.23
= 0.45 x $1375.23
Discount = $ 618.85
But Sale price = Regular price - Discount
Sale price = $1375.23 - $618.85
Sale price = $756.38
Hence, the new sale price after the discount of 45% is applied is $756.38
you buy a new iphone 12 pro max for $1099 the value of the iphone decreases by 25% annually write a model for the value of the phone and use the model to see how much it would be worth after 3 years ?
Answers
The price of the iphone can be modeled by the following expression:
[tex]A=P(1-r)^t[/tex]where,
A: price of the iphone after t years
P: initial price = 1099
r: rate of percetage decrease in decimal for = 0.25
t: years
Then, the function becomes:
[tex]\begin{gathered} A=1099(1-0.25)^t \\ A=1099(0.75)^t \end{gathered}[/tex]The price of the iphone after t = 3 years, according to the previous expression is:
[tex]\begin{gathered} A=1099(0.75)^3 \\ A=463.64 \end{gathered}[/tex]Hence, the price of the iphone after 3 years would be $463.64
Can someone help me with this math problem I have like 20 more and I really need help
Answers
We can find the x-intercept when y=0 so replacing y for 0 we have
[tex]\begin{gathered} -5x+2(0)=10 \\ -5x=10 \\ x=\frac{10}{-5}=-2 \end{gathered}[/tex]The x-intercept is (-2,0).
Now we are going to replace x for 0 to find the y-intercept
[tex]\begin{gathered} -5(0)+2y=10 \\ 2y=10 \\ y=\frac{10}{2}=5 \end{gathered}[/tex]The y-intercept is (0,5).
For the graph of 4x -9y=12 we have that the x-intercept is (3,0) and the y-intercept is (0,-4/3)
Your statistics class has 26 students in it - 14 girls and 12 boys. Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?
Answers
The probability that the first student was also a girl is 0.175.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.
The fraction of choosing a girl will be:
= Number of girls / Number of students
= 14 / 26
= 7/13
Therefore, the probability of having both girls will be:
= 7/16 × 6/15
= 0.175
The probability is 0.175.
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which price below has the same unit rate as 3 cans for $ 1.98? Select All That Apply●6 cans for $4.00 ●5 cans for $5.90●2 cans for $1.32 ●4 cans for $3.60
Answers
Divide the price of 3 cans over 3 to find the unit rate:
[tex]\frac{1.98}{3}=0.66[/tex]Perform the same operation with the other rates to find which of them have the same unit rate:
6 cans for$4.00
[tex]\frac{4}{6}=0.67[/tex]5 cans for %5.90
[tex]\frac{5.90}{5}=1.18[/tex]2 cans for $1.32
[tex]\frac{1.32}{2}=0.66[/tex]4 cans for $3.60
[tex]\frac{3.60}{4}=0.9[/tex]Therefore, the only one which has the same rate as 3 cans for $1.98 is 2 cans for 1.32