Answer:
0.5346
Step-by-step explanation:
Find the z-scores.
z = (x − μ) / σ
z₁ = (89 − 100) / 15
z₁ = -0.73
z₂ = (111 − 100) / 15
z₂ = 0.73
Find the probability.
P(-0.73 < Z < 0.73)
= P(Z < 0.73) − P(Z < -0.73)
= 0.7673 − 0.2327
= 0.5346
Which phrase best describes f(x), graphed on the coordinate plane below?
f(x) is an odd function.
f(x) is an even function.
f(x) is both odd and even
f(xl is neither add nor even
Answer: f(x) is an odd function
Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.
Answer:
f(x) is an odd function.
Step-by-step explanation:
State whether the data described below are discrete or continuous, and explain why. The numbers of police cars different cities have Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are continuous because the data can only take on specific values. C. The data are discrete because the data can only take on specific values. D. The data are continuous because the data can take on any value in an interval.
Answer:
Option d
Step-by-step explanation:
Continuous data are data that can take on any values within a range while discrete data can only take on particular values.
Thus for this case study, the number of police cars in different cities are usually not specific and may vary, thus this data is continuous.
The governor of state A earns $53,745 more than the governor of state B. If the total of their salaries is $289,405, find the salaries of each.
Answer:
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
Step-by-step explanation:
If the governor of state A's salary is "x" and the governor of state B's salary is "y", then:
[tex]x = y + 53,745[/tex]
If the total of their salaries is $289,405, then the sum of x and y should be equal to that number.
[tex]x + y = 289,405\\[/tex]
Applying the first expression on the second allows us to solve for y as shown below.
[tex]y + 53745 + y = 289405\\2y = 289405 - 53745\\2y = 235660\\y = 117830[/tex]
Using this data on the first expression allows us to solve for the first governo's salary.
[tex]x = 117830 + 53745 = 171575[/tex]
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
$
Answer:
80 dollars
Step-by-step explanation:
l=prt ⇒ p=l/rt
20=p(0.05)(5)
P=20/0.25=80 dollars
Answer:
The answer is $80
Step-by-step explanation:
I just got it right
parallelogram missing find x
Answer:
It's 22
Step-by-step explanation:
The height isn't important. The 2 opposite sides are always equal in a parallelogram.
Answer:
22
Step-by-step explanation:
The quadrilateral is a parallelogram.
A parallelogram has opposite sides equal.
x is equal to the length of the base.
x = 22
Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
i checked on edge
The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface area is ________. (a) 3 ∶ 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
Answer:
a
Step-by-step explanation:
Cylinders:
Ratio of radii = 1 : 4
Radius of two cylinders are: r , 4r
Ratio of height = 3 :1
Height of two cylinders are: 3h , h
Lateral surface area of cylinder = 2πrh
Ratio of lateral surface area= 2π* r * 3h : 2π* 4r * h
= 3 : 4
I need help ASAP THANK YOU!!
Answer:
A. Volume: 819, Surface Area: 598
B. Surface area
C. Volume
Step-by-step explanation:
Sorry I'm late, but here I go.
The volume of a rectangular prism is [tex]lwh[/tex] or [tex]bh[/tex]. (l being length, w being width, and h being height.)
So if we multiply the 3 values of 13, 9, and 7, we get 819. This is the volume.
To find the surface area, we can take note that 4 sides are the exact same, and the remaining two are the same. Let's find the area of the top/bottom of the prism.
[tex]13\cdot9=117[/tex]
Since there are two, bottom and top:
[tex]117\cdot2 = 234[/tex].
Now, there are the remaining 4 sides. Let's find the area of one then multiply it by 4.
[tex]13\cdot7=91\\91\cdot4=364[/tex]
Adding 364 and 234 gets up 598, so this is the surface area.
If we are painting something, the surface area is being painted, as we can't paint inside the box. However if we fill up the box with something (concrete in this case), it will be the volume.
Hope this helped!
Answer:
a.
v= 819 cm3
sa= 542 cm2
b. surface area
c. volume
Step-by-step explanation:
Volume of a rectangular prism: Length x width x height
Replacing with the values given:
V = 13 x 9 x 7 = 819 cm3
Surface area = S = 2 × (W × L + L × H + H × W)
S = 2 ( [9x13]+ [13 x7] +[7x9]) = 2 ( 117+91+63)= 542 cm2
b . Surface area, because we only have to paint the exterior of the brick.
c. Volume, because is the amount of concrete that the brick has.
4sinθ – 1 = - 3 for 0<θ< 360
Answer:
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
Step-by-step explanation:
[tex] 4 \sin \theta - 1 = -3 [/tex]
[tex] 4 \sin \theta = -2 [/tex]
[tex] \sin \theta = \dfrac{-2}{4} [/tex]
[tex] \sin \theta = -0.5 [/tex]
For sin θ = 0.5, the reference angle is θ = 30 deg.
[tex] \sin 30^\circ = 0.5 [/tex]
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
BOTS
TINSS
Self Mastery
1. Pak Kamil is a food committee member for a programme. He buys 10 kg of fish and 6 kg of vegetables for RM136 to
make a feast for the programme. He then adds 4 kg fish and 2 kg of vegetables for RM54. After experiencing some
technical problems, the programme had to be cancelled. If Pak Kamil sells all the fish and vegetables for RM8 and
RM0.50 per kilogram, respectively, what is the total loss experienced by Pak Kamil? Show your calculations.
TP 6
Answer:
The total loss experienced by Pak kamil is RM74
Step-by-step explanation:
The cost of 10 kg and 6 kg of vegetables = RM 136
The cost of 4 kg fish and 2 kg of vegetables = RM 54
Amount for which the fish was sold = RM8 per kilogram
Amount for which the vegetables was sold = RM0.50 per kilogram
The total mass of the fish = 10 kg + 4 kg = 14 kg
The total mass of the vegetables = 6 kg + 2 kg = 8 kg
The amount for which the meat was sold = 14 kg × RM8/kg = RM112
The amount for which the fish was sold = 8 kg × RM0.50/kg = RM4
RM112 + RM4 = RM116
The total amount for which the fish and vegetable was sold = RM136 + RM54 = RM190
Therefore, the total loss experienced by Pak kamil = RM190 - RM116 = RM74.
Find the area of the shaded region
if the radius of the big circle is 12 cm.
PLEASE HELP!
Answer:
~226.195cm 2
Step-by-step explanation:
1. Because the shaded region is exactly one half of the circle, this means the Shaded area = 1/2 larger circle area
2. Calculate the area of the circle using the radius
3. Use that halved to get your final answer.
Hope this helped! Comment if you have any questions. :)
What the answer now question correct answer fast
v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth
Find the length, x,of the third side of the triangle.
====================================================
Explanation:
This is a visual example of the pythagorean theorem. We add the areas of the two squares to get
13+29.25 = 42.25
Then we apply the square root to this to get the value of x, which is the hypotenuse of the right triangle
x = sqrt(42.25) = 6.5
---------
Side note: if you're curious about finding the other lengths of the triangle, apply the square root to those areas. The blue area 29.25 will lead to a side length of approximately sqrt(29.25) = 5.4083269; the red square will follow the same idea.
Answer:
Step-by-step explanation:
area of a square=a²
A=29.25
a=side=√29.25 first square
second square =a=√13
find x(c)
right triangle: a²+b²=c²
(√29.25 )²+(√13)²=c²
29.25+13=c²
c=√(29.25+13)=6.5 unit
area and volume of cylinder 25 points ****
Answer:
Surface Area: 150.796
Volume: 141.372
Step-by-step explanation:
Cylinder Surface Area: 2Πrh+2Πr^2
r=3
h=5
2Π15+2Π9=30Π+18Π=48Π=150.796
Volume: Πr^2h
Π45=141.372
Hope this helps! BRAINLIEST would really help me:)
Answer:
150.8 units²
141.37 units³
Step-by-step explanation:
Surface area of cylinder:
[tex]2 \pi r^2+2 \pi rh[/tex]
[tex]r=3\\h=5[/tex]
[tex]2 \pi (3)^2+2 \pi (3)(5)[/tex]
[tex]18\pi +30\pi[/tex]
[tex]=150.8[/tex]
Volume of the cylinder:
[tex]\pi r^2 h[/tex]
[tex]r=3\\h=5[/tex]
[tex]\pi (3)^2 (5)[/tex]
[tex]45\pi[/tex]
[tex]=141.37[/tex]
Part 2: describe the shape of your cross section of a slice of banana at 45° angle to a space draw picture of the sheep. Part 3: describe the shape of a cross sections if you slice banana and half with a cut perpendicular to its base draw a picture of the shape (hint remember to think of a banana a cylinder)
Answer:
Part 2:
The shape of a banana cut in 45° angle is that of a curve that is closed with the appearance of a flattened circle or an oval similar to an ellipse therefore having two focal points
The drawing of the angle cross section of a cylinder representing the banana is attached
Part 3:
When the banana is cut in half, perpendicular to the base of the banana, the shape formed is circular withe the center of the banana being about the same location as the center of the circle
The drawing of the perpendicular cross section of a cylinder representing the banana is
Step-by-step explanation:
31. Five more than twice a number is three
times the difference of that number and
two. What is the number?
Answer: 5(x+3)(x-2)
Step-by-step explanation:
just read closely and pay attention in class.
What is the critical value for a 99% confidence level, assuming a right-tailed test? Please provide an explanation! I can't figure this out at all.
Answer:
A 99% confidence level is saying that you are 99% positive that you null hypothesis will not be rejected. The critical value that comes with the confidence level is the Z-score. The Z-score can usually be found using the Z-score table found online. The Z-score for 99% confidence is 2.575. If they give you the Z-score and tell you to find it on a right tail graph you subtract the given z-score from alpha which is .5 and find what you got on the z-score table.
Ex: Given Z-score- 0.0079
.0079 - .5(alpha)= 0.4921.
The closest area to 0.4921 is 0.4922 at z = 2.42.
Hope this helps
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined
Answer:
-\frac{7}{6}
Step-by-step explanation:
We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
which in our case gives:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]
To study the effect of naps on student grades, two experimental treatments are planned: an eight-hour school day with a one-hour nap for one group
versus and eight-hour school day with a 30-minute nap for another. Which of the following groups would serve best as a control for this study?
A third group that takes a one-hour nap or a 30-minute nap randomly each day
A third group that shortens the school day to six hours
A third group in which no naps occur
A third group that splits the day with a 30-minute nap in the morning and a 30-minute nap in the afternoon
A third group in which each student chooses either a 30-minute nap or a one-hour nap
Answer:
A third group in which no naps occur
Step-by-step explanation:
Control group: In a study or an experiment, the term "control group" is described as a specific group that doesn't receive or being provided any sort of treatment by the investigator or researcher ans therefore used as a particular benchmark or criteria to analyze or measure the way other tested participants do. It is generally used as a specific strategy that minimized the effects of different variable except independent variable.
Answer:
above is correect. i took the test.
Step-by-step explanation:
____________________________________________________________________
Bennett brings 3 gallons of water to his football game. His teammate, Jordan, brings 3 times as many gallons of water as Bennett. If one gallon of water contains 128 fluid ounces, how many ounces of water did Bennett and Jordan bring to their football game?
Answer:
It could be 768 fl. oz I think?
Step-by-step explanation:
Bennett has 3 gallons of water and Jordan has 3 times as many gallons as bennett
Let's calculate how many gallons do Jordan has
3*3 = 9Jordan has 9 gallons of water
every gallon of water contains 128 fluid ounces
BenettBenett has 3 gallons
so the fluid ounces are given by : 3*128=384
Benett has 384 ounces
JordanJordan has 9 gallons so 9*128 = 1152
so Jordan has 1152 fluid ounces
find the 1000th term of the sequence below
Answer:
A. 7017
Step-by-step explanation:
common difference is 7
first term of the sequence is 24
by explicit formula a1 + ( n- 1)*d
24 + (1000-1)*7
24+999*7
24+6993
7017
yes help me please i need
Pls answer this ASAP I need it by the end of the day
Answer:
No
Step-by-step explanation:
Let's calculate sinA and sinB.
sinA = opposite / hypotenuse = 12 / 20
sinB = opposite / hypotenuse = 16 / 20
Since 12 / 20 ≠ 16 / 20, she is incorrect.
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
the height of the prism =3cm
Step-by-step explanation:
From the question :there is 30 square centimeters, we can deduce this is the area due to the unit
the volume is 90 cubic centimeters
Volume of prism = Area of base × height
We are to determine the height
90cm³ = 30cm² × height
divide both sides by 30cm²
height = 90cm³/30cm²
height = 3cm
Therefore the height of the prism is 3centimeters
A rectangular piece of paper has an area of 24 square inches. You trim the paper so that it fits into a square frame by trimming 3 inches from the length and 1 inch from the width of the paper. Write and solve an equation to find the side length of the resulting square paper.
Answer:
Length of the square = 3 inches
Equation: [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
Step-by-step explanation:
Given
Area of the rectangle = 24
Required
Length of the square when the dimension of the rectangle is trimmed by 3 inches * 1 inches
Represent the dimension on the rectangle by L and W
Such that L represent Length and W, Width
This implies that
[tex]L * W = 24[/tex]
Represent the length of the rectangle by l
Such that
[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex] (When trimmed)
Equate both expressions
[tex]L - 3 = W - 1[/tex]
Add 3 to both sides
[tex]L - 3 + 3 = W - 1 + 3[/tex]
[tex]L = W + 2[/tex]
Next is to list all possible dimensions of the rectangle;
[tex]Area(L,W) = Length * Width[/tex]
[tex]Area(24,1) = 24 * 1 = 24[/tex]
[tex]Area(12,2) = 12 * 2 = 24[/tex]
[tex]Area(8,3) = 8 * 3 = 24[/tex]
[tex]Area(6,4) = 6 * 4 = 24[/tex]
From the list above, the only calculation that fits our solution is
[tex]Area(6,4) = 6 * 4 = 24[/tex]
Such that
[tex]6 = 4 + 2[/tex]
By direct comparison of [tex]6 = 4 + 2[/tex] to [tex]L = W + 2[/tex];
[tex]L = 6[/tex]
[tex]W = 4[/tex]
Recall that
[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
Substitute 6 for L and 4 for W
[tex]l = 6 - 3[/tex] and [tex]l = 4 - 1[/tex]
[tex]l = 3[/tex] in both cases
Hence, the length of the square is 3 inches
And the equation is [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
HELP WILL GIVE 50 POINTS AND BRAINLIEST Graph y>−54x+5.
Answer:
see below
Step-by-step explanation:
y>−5/4x+5
The y intercept is 5
The x intercept is
0 = -5/4x +5
-5 = -5/4x
-5 *-4/5 =- 5/4x *-4/5
4 =x
The x intercept is (4,0)
The line is dotted since there is no equals sign
We shade above the line
Please answer this question now
Answer:
m∠D = 94°
Step-by-step explanation:
Quadrilateral ABCD is also called a cyclic quadrilateral or a quadrilateral that is inscribed in a circle.
Opposite angles in a cyclic Quadrilateral are supplementary, i.e the sum of two opposite angles in a Quadrilateral = 180°
m∠A + m∠C = 180°
m∠A = 74°
74° + m∠C = 180°
m∠C = 180° - 74°
m∠C = 106°
In a cyclic quadrilateral, the total sum of the angles outside the circle = 360°
i.e =
m∠AB + m∠BC + mDC + mAD = 360°
m∠DAB= ( m∠C) × 2
= 106° × 2 = 212°
m∠DAB = m∠AD + m∠AB
m∠AD = 79°
212° = 79° + m∠AB
m∠AB = 212° - 79°
= 133°
m∠ABC = m∠AB + m∠BC
m∠AB = 133°
m∠BC= 55°
m∠ABC = 133° + 55°
= 188°
We are asked to find m∠D
m∠D = 1/2m∠ABC
m∠ABC = 188°
m∠D = 1/2 × 188°
m∠D = 94°
Therefore, m∠D = 94°
Pls hurry! Will make brainliest!! What is the formula that relates circumference and diameter?
Answer:
Circumference = πd
where d = diameter
Step-by-step explanation:
When using this formula you don't need to multiply by 2 like you do when using the radius because the diameter is twice the radius of a circle.
Answer:
There are actually two formulas c=πd or pi=c/d.
Step-by-step explanation:
This is how they relate to each other. Let's say you were to isolate for pi. So, for 2pir, we have to divide both sides by 2r or the diameter. 2r=d because the diameter is equal to having two radii or radiuses. When you isolate pi, you will see that pi= to the circumference, c, divided by the diameter, d. Therefore, you can say that the circumference is approximately 3.14 or pi times greater than the diameter. In fact, that is what pi is. It is a ratio that shows the relationship between the circumference and the diameter. In other words, pi=c/d. Hope this helps!
Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 customers at a monthly rate of $20 per month. After a market survey, it was determined that for each $1 decrease in the monthly rate an increase of 500 new customers would result. A. linear B. quadratic C. none of these D. exponential
Answer:
The best fit is A. Linear model
Step-by-step explanation:
Given:
Monthly Rate = $20, Number of customers = 5000
If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.
To find:
The type of model that best fits the given situation?
Solution:
Monthly Rate = $20, Number of customers = 5000
Let us decrease the monthly rate by $1.
Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500
Let us decrease the monthly rate by $1 more.
Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000
Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.
We have 2 pair of values here,
x = 20, y = 5000
x = 19, y = 5500
Let us write the equation in slope intercept form:
[tex]y =mx+c[/tex]
Slope of a function:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500[/tex]
So, the equation is:
[tex]y =-500x+c[/tex]
Putting x = 20, y = 5000:
[tex]5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000[/tex]
[tex]\Rightarrow \bold{y =-500x+15000}[/tex]
Let us check whether (18, 6000) satisfies it.
Putting x = 18:
[tex]-500 \times 18 +15000 = -9000+15000 = 6000[/tex] so, it is true.
So, the answer is:
The best fit is A. Linear model
Which is the value of this expression when p = 3 and q = negative 9? ((p Superscript negative 5 Baseline) (p Superscript negative 4 Baseline) (q cubed)) Superscript 0 Negative one-third Negative StartFraction 1 Over 27 EndFraction StartFraction 1 Over 27 EndFraction One-third
Answer:
Negative StartFraction 1 Over 27 EndFraction
(-1/27)
Step-by-step explanation:
Given expression
(P^-5)(p^-4)(q^3)
When
P=3 and q=-9
(P^-5)(p^-4)(q^3)
=(3^-5)(3^-4)(-9^3)
=(1/3^5)(1/3^4)(-9^3)
=(1/243)(1/81)(-729)
Multiply all numerators
We have,
= (-729)/(243)(81)
Multiply all denominators
= -729/19,683
= -1/27
Negative StartFraction 1 Over 27 EndFraction
Answer:
-1/27
Step-by-step explanation: