Answers
Answer:
(a) 26.43%
(b) 189 seconds
Step-by-step explanation:
(a) Data
mean: 3 minutes and 48 seconds = 3*60 + 48 = 228 s standard deviation, sd: 19 svalue of interest, x: 4 minutes = 4*60 = 240 sZ-score is calculated as follows:
z = (x - mean)/sd
z = (240 - 228)/19
z = 0.63
We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)
From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%
(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.
z = (x - mean)/sd
-2.055 = (x - 228)/19
(-2.055)*19 + 228 = x
x = 189 s
Related Questions
please help for math
Answers
Answer:
2.35 m²
Step-by-step explanation:
Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.
1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width
1 m · 2 m = 2 m²
2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)
3.14(0.5)² = 0.785
0.785 ÷ 2 = 0.3925 m²
3. Combine the total area
2 + 0.3925 = 2.3925
4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)
0.2² = 0.04 m²
5. Subtract the area of the square from the total area
2.3925 - 0.04 = 2.3525
2.3525 rounds to 2.35 m²
Rewrite the function by completing the square
Answers
Answer:
[tex](x+10)^2-186[/tex]
Step-by-step explanation:
50 POINTS TIMED!! Which of the following shows the graph of y = 4x + 3? On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.
Answers
Answer:
1st Graph
Step-by-step explanation:
Parent Graph of Exponentials: f(x) = a(b)^x + d
Since we are only modifying the base exponent and d (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.
Alternatively, we could graph the equation and choose the best fit:
Answer:
Step-by-step explanation:
f(x) = a(b)^x + d
*ANSWER ASAP PLS* Lucy is covering a box with fabric for a craft festival. If the box is an 8-inch cube, how much fabric does she need? a.)252 sq.in. b.)384 sq.in. c.)240 sq.in.
Answers
Answer: b) 384 sq. in.
Step-by-step explanation:
Surface area of cube = 6a^2
= 6 (8)^2
= 6 x 64
= 384 sq. in.
The area of one square on the cube is 8*8=64
There are 6 faces, so 6*64=384
A rectangular carton has twice the height, one-
third the length, and four times the width of a
second carton. The ratio of the volume of the
first carton to that of the second is
A)16:3
B)3:1
C)8:3
D)3:8
Answers
A trader claims that the proportion of stocks that offer dividends is different from 0.14. If the trader wants to conduct a hypothesis test, should they use a left-, right-, or two-tailed hypothesis test to analyze whether the proportion of stocks that offer dividends is different from 0.14? Select the correct answer below: Left-tailed test Right-tailed test Two-tailed test
Answers
Answer:
The correct option is;
Two-tailed test
Step-by-step explanation:
From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14
Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;
H₀: Null hypothesis (no difference, or no change)
H₁: μ ≠ μ₀ which is hypothesizing difference which is known as a two-tailed test
The confidence level is then selected and the test statistic is calculated
NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
1. A $30 increase followed by a $30 decrease
2. A 20% decrease followed by a 40% increase
3. A 100% increase followed by a 50% decrease
4. A 75% increase followed by a 33% decrease
5. 55% decrease followed by a 25% increase
Answers
Answer:
Greater than the original = 2, 4
Less than the original = 5
Same as the original = 1, 3
Step-by-step explanation:
Let the original value be x.
1. A $30 increase followed by a $30 decrease.
New value [tex]=x+30-30=x[/tex], it is same as original value.
2. A 20% decrease followed by a 40% increase.
Afer 20% decrease.
New value [tex]=x-\dfrac{20}{100}x=x-0.2x=0.8x[/tex]
Afer 40% increase.
New value [tex]=0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x[/tex], it is greater than original value.
Similarly check the other values.
3. A 100% increase followed by a 50% decrease.
New value [tex]=x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x[/tex], it is same as original value.
4. A 75% increase followed by a 33% decrease
New value [tex]=x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x[/tex], it is greater than the original value.
5. 55% decrease followed by a 25% increase
New value [tex]=x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x[/tex], it is less than the original value.
Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .
A 100% increase followed by a 50% decrease
A $30 increase followed by a $30 decrease
Less Than The Original:55% decrease followed by a 25% increase
Greater Than The Original:A 20% decrease followed by a 40% increase
A 75% increase followed by a 33 1/3% decrease
Determine the approximate area of a sector with a central angle of 75° and a radius of 14 yards. Question 16 options: A) 9.2 yards2 B) 128.3 yards2 C) 40.8 yards2 D) 0.21 yards2
Answers
Answer:
B) 128.3 square yards
Step-by-step explanation:
A = (n/360 deg)(pi)r^2
where n = central angle of sector.
A = (75/360)(3.14159)(14 yd)^2
A = 128.3 yd^2
Answer:
B. 128.3 yards
Step-by-step explanation:
Area of a Sector Formula: A = ∅/360πr²
Simply plug in our variables:
A = 75/360(π)(14)²
A = 5π/24(196
A = 128.3
P(A) = .20 P(B) = .25 P(A and B) = .10 What is P(B given A)
Answers
P(B given A) = P(A and B) / P(A)
P(B given A) = 0.10 / 0.20
P(B given A) = 0.50
I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!
Answers
Answer: 16
Step-by-step explanation:
The 7 and the 9.
Look closely
Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
Answers
Answer:
The expressions are not equivalent.
Step-by-step explanation:
The answers would be 196 and 193 for t = 8
The answers would be 76 and 73 for t = 3
Lewis Hamilton completed the first lap at the Monaco Grand-Prix with an average speed of 125 mi/h. His goal is to complete the first two laps with an average speed of 250 mi/h. How fast (in terms of average speed) should his second lap be?
Answers
Answer:
infinitely fast
Step-by-step explanation:
To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.
Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)
_____
speed = distance/time
Multiplying by 2, we get ...
2×speed = 2×distance/time . . . . . the time hasn't changed
The points in a plane in a fixed distance from a given point
is called a circle. What is the fixed distance called?
a. chord
b. radius
c. diameter
d. not given
Answers
Answer:
radius
Step-by-step explanation:
That "fixed distance" is the 'radius' of the circle.
The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.
Answers
Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.
expression
equation
formula
identity
inequality
term
factor
multiple
Choose only two words from the box above to make this statement correct.
8y is a _____in the_____7x + 8y
Answers
Answer:
Term
Expression
Step-by-step explanation:
8y is a term in the expression
7x + 8y
There are two terms in the expression 7x + 8y
First is 7x
Second is 8y
7 and 8 are coefficient of x and y respectively
7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.
Unlike an equation that has the Equal to sign(=)
There are three basic types of expression:
1. Arithmetic expression
2. Character expression
3. Logical or relational expression
The sum of all the interior angles in a triangle is blank degrees.
Answers
Answer:
180 degress
Step-by-step explanation:
triangles always add up to 180
box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots? interquar
Answers
Answer:
A. Interquartile
Step-by-step explanation:
Answer:
A: interquartile range
Step-by-step explanation:
edg2020
Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°
Answers
Answer:
B) 122 degrees.
Step-by-step explanation:
Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:
9x - 5 + 14x + 24 + 90 + 90 = 360
9x - 5 + 14x + 24 = 180
23x + 19 = 180
23x = 161
x = 7
So the obtuse angle = 14(7) + 24
= 98 + 24
= 122 degrees.
Find the missing side lengths. Leave your answers as radicals in simplest form.
ANSWER QUICK
Answers
Answer:
C
Step-by-step explanation:
It is an iscoceles triangle because there are 180 degrees in a triangle and the right angle plus the 45 degree equals 135 and 180 minus 135 is 45.
Since it is an iscoceles triangle that means that n = 3 and the pythagorean theorom says that a^2 + b^2 = c^2 which means that m = 3^2 plus 3^2 with a root.
3^2 is 9 so you get 18
the root of 18 is infinite, however can be simplified to 3 root to 2 because 3 times 3 equals 9 times 2 equals a root of 18
Hope this helps!
What is a number of subsets for the set which contains the 10 elements.
Answers
Answer:
The number of subsets of a set containing 10 elements is 2^10=1024.
Step-by-step explanation:
Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT
Answers
Answer:
Correct Answers: D,C,B
Step-by-step explanation:
I took the test and got these as the right answers Hope this helped if not I tried
What is the slope of the line?
Answers
Answer:
5/3
Step-by-step explanation:
it should be y/x
you can count 5 up and 3 over
Answer:
8/5
Step-by-step explanation:
You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.
Three congruent isosceles triangles $DAO$, $AOB$ and $OBC$ have $AD=AO=OB=BC=10$ and $AB=DO=OC=12$. These triangles are arranged to form trapezoid $ABCD$, as shown. Point $P$ is on side $AB$ so that $OP$ is perpendicular to $AB$.
Point $X$ is the midpoint of $AD$ and point $Y$ is the midpoint of $BC$. When $X$ and $Y$ are joined, the trapezoid is divided into two smaller trapezoids. The ratio of the area of trapezoid $ABYX$ to the area of trapezoid $XYCD$ in simplified form is $p:q$. Find $p+q$.
Answers
Answer:
p+q = 12
Step-by-step explanation:
Let's draw the diagram obtained from the given information. Find attached the diagram.
When X and Y divides the line AD and line BY into half respectively, the diagram splits into two trapezoid.
See attachment for diagram.
Ratio of area ABYX to XYCD = p:q
p+q = ?
Area of trapezoid = ½(base 1 + base 2)height
For trapezoid ABYX:
Base 1 = AB = 12, Base 2 = XY
Using Pythagoras theorem to find height of ∆AOB
AO² = AP² + PO²
PO² = (10²-6²) = (100-36)
PO = √64 = 8
height of trapezoid ABYX =h = ½ PO
= 8÷2 = 4
base of triangles in trapezoid ABYX:
base² = 5² -4² = (25-16)
base = √9 = 3
XY = 12+3+3 = 18
Area of trapezoid ABYX = ½(AB + XY)height
= ½(12+18)×4
= ½(120) = 60
Area of trapezoid XYDC = ½(XY + DC)height
Height of both trapezoid = ½ PO = 4
base of triangles in trapezoid XYCD = 3
DC = 3+18+3 = 24
= ½(18+24)×4
= ½(168) = 84
Ratio of both areas
p:q = 60: 84
p:q = 5:7
p+q = 5+7
p+q = 12
6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 =2d− 2 13
Answers
Answer:
So your answer is d = -1/4 = -0.250
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*d-11/2-(2*d-13/2)=0
13
Simplify ——
2
11 13
(6d - ——) - (2d - ——) = 0
2 2
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
2d 2d • 2
2d = —— = ——————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2d • 2 - (13) 4d - 13
————————————— = ———————
2 2
11 (4d - 13)
(6d - ——) - ————————— = 0
2 2
11
Simplify ——
2
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
6d 6d • 2
6d = —— = ——————
1 2
4.2 Adding up the two equivalent fractions
6d • 2 - (11) 12d - 11
————————————— = ————————
2 2
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(12d-11) - ((4d-13)) 8d + 2
———————————————————— = ——————
2 2
6.1 Pull out like factors :
8d + 2 = 2 • (4d + 1)
4d + 1 = 0
4d + 1 = 0
7.1 Solve : 4d+1 = 0
Subtract 1 from both sides of the equation :
4d = -1
Divide both sides of the equation by 4:
d = -1/4 = -0.250
Answer:
d = -1/4 = -0.250
Step-by-step explanation:
URGENT HELP NEEDED! YOU WILL GET BRAINLIEST! Convert to a product: cot(α) - 1
Answers
Answer:
WHAT
Step-by-step explanation:
How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?
Answers
Answer:
We decreased by 37%
Step-by-step explanation:
Let x be the starting temperature
We decrease by 10 percent which means we are left with 100-10 =90 percent
.90 x
Then we decrease by 30 percent, 100 - 30 = 70
( .90x) * .70
.63x
We have .63 of the original left or 63%
100 -63 = 37
We decreased by 37%
Answer:
37% and it decreased
Step-by-step explanation:
Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?
Answers
Answer:
6:3
Step-by-step explanation:
the ratio of Quinn's throws to Sam's throws would be 6:3
Answer:
2:1
Ratio of Quinn's free throws to Sam's free throws
How many times will the digit '1' appear if we write all whole numbers from 1 to 999?
Answers
Answer: The number one occurs 300 times while writing the numbers from 1 to 999.
Step-by-step explanation:
Determine the slope of the lines parallel and perpendicular to -4x+3y=11
Answers
Answer:
parallel = 4/3
perpendicular =-3/4
Step-by-step explanation:
Solve for y
-4x+3y=11
Add 4x to each side
3y = 4x+11
Divide by 3
y = 4/3 x +11/3
This is in the form y = mx+b where m is the slope
m =4/3
The parallel line has the same slope
parallel slope is 4/3
The perpendicular line has a negative reciprocal slope
m = -(1 /4/3) = - 3/4
Answer:
[tex]\frac{4}{3}[/tex] and - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- 4x + 3y = 11 ( add 4x to both sides )
3y = 4x + 11 ( divide all terms by 3 )
y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{4}{3}[/tex]
Parallel lines have equal slopes, thus
slope of parallel line = [tex]\frac{4}{3}[/tex]
Give a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{3} }[/tex] = - [tex]\frac{3}{4}[/tex]
Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.