Answer:
The variable is a nominal categorical variable
Step-by-step explanation:
As the 3 options are available and the survey taker is required to select from these options, this indicates that the variable is of categorical nature, where only a fixed number of options are available. As the order is not important thus the variable is a nominal categorical variable.
Abigail and her children went into a movie theater and she bought $71.50 worth of
drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a
total of 16 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Abigail bought.
Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.
In the figure name ALL the angles that are congruent to angle 8.
The angels that are congruent to 8 are 6, 3, 1.
Jamie has a rectangular room in her home with a width of 8 feet and a diagonal distance of 17 feet. Find the total area of the room.
Step-by-step explanation:
8²+x²=17²
74+ײ=289
x²=225
Sq root both sides
x=15
15×8=120 Sq ft
In the triangle above, the measure of A is 66°, and the measure of B is 68°. What is the measure of C?
Answer:
46°
Step-by-step explanation:
Given that :
Angle, A = 66°
Angle B = 68°
The sum of angles in a triangle is given by :
A + B + C = 180° (sum if angles una triangle)
66° + 68° + C = 180°
134° + C = 180°
C = 180° - 134°
C = 46°
Hence, angle C is 46°
The Vatican has to be guarded 24 hours a day. Fifteen Swiss Guards are ordered to split each day's guard duty equally. How long will each Swiss Guard spend on guard duty in one day? Record your answer in hours and minutes.
Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
Step-by-step explanation:
Given: The Vatican has to be guarded 24 hours a day.
Total Swiss Guards = 15
If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15
= [tex]\dfrac{24}{15}[/tex] hours
[tex]=\dfrac85[/tex] hours
[tex]=1\dfrac35[/tex] hours
= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]
= [tex]\text{ 1 hour }36\text{ minutes}[/tex]
Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
A group of hikers begins a trip with 30 pounds of food per hiker. They will eat a total of 12 pounds of food a day. If there are 7 hikers, which equation can be used to find y, the amount of food remaining after x days? F) y = 12x + 30 G) y = -7x + 84 H) y = 12x + 210 J) y = 30x-12
Given:
Food = 30 pounds of food per hiker.
Food consumption = 12 pounds of food a day.
No. of hikers = 7
To find:
The equation for the given situation.
Solution:
Let x be the number of days and y be the amount of remaining food.
Total amount is the product of number of hikers and food per hiker.
[tex]\text{Total food}=7\times 30[/tex]
[tex]\text{Total food}=210[/tex]
Food consumption of one day = 12 pounds
Food consumption of x days = 12x pounds
Now,
Remaining food = Total food - Food consumption of x days
[tex]y=210-12x[/tex]
[tex]y=-12x+210[/tex]
Therefore, the required equation is [tex]y=-12x+210[/tex].
Note: Option C is correct if there is -12 instead of 12.
Evaluate the numerical expression.
(5 + 3) x 2 - 6
please help!
Answer:
10
Step-by-step explanation:
Please use " * " or " · " to indicate multiplication; " x " is a variable, not an operator.
(5 + 3) x 2 - 6 => (5 + 3)·2 - 6
Order of operations rules require that we do first any work inside parentheses. So we have:
(5 + 3)·2 - 6 => (8)·2 - 6
Those same rules dictate that we must multiply before subtracting. So now we obtain:
16 - 6 = 10
Round 0.589 to the nearest hundredth
A. 0.59
B. 0.6
C. 0.58
D. 1
Please do Correctly will mark you Brainliest!
Answer:
279...................................
Answer:
[tex] \rm\displaystyle \: A _{ \text{ total}} = 212 [/tex]
Step-by-step explanation:
Prefer the attachment
so we have 3 rectangle
recall that,
[tex] \displaystyle \: A _{ \text{ rect}} = l \times w[/tex]
rectangle-1:the width of the rectangle is 10m
and the length is 12+5=17m
so the area is
[tex] \displaystyle \: A _{ \text{ rect - 1}} = 17 \times 10[/tex]
[tex] \displaystyle \: A _{ \text{ rect - 1}} =170 \: {m}^{2} [/tex]
rectangle-2:the length is 9 m
the width is 3 m
so the area is
[tex] \displaystyle \: A _{ \text{ rect - 2}} = 9 \times3[/tex]
[tex] \displaystyle \: A _{ \text{ rect - 2}} = 27 \: {m}^{2} [/tex]
rectangle-3:the length is 5m
the width is 3m
so the area is
[tex] \displaystyle \: A _{ \text{ rect - 3}} = 5 \times 3[/tex]
[tex] \displaystyle \: A _{ \text{ rect - 3}} = 15 {m}^{2} [/tex]
total area:[tex] \rm\displaystyle \: A _{ \text{ total}} =170 \: {m}^{2} + {27m}^{2} + {15m}^{2} [/tex]
[tex] \rm\displaystyle \: A _{ \text{ total}} = 212 {m}^{2} [/tex]
Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?
Question:
Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?
Answer:
[tex]x \le 18[/tex]
Step-by-step explanation:
Given
[tex]Border\ Material = 72[/tex]
Required
Determine an inequality for x
Represent the side lengths of the border with y. So:
Since the border is on the 4 sides, then
[tex]4y = 72[/tex] -- i.e. the perimeter of the border material
Solve for y
[tex]y =\frac{72}{4}[/tex]
[tex]y =18[/tex]
Recall that x represents the board's side length.
Since x will be situated inside the boarder, then.
[tex]x \le y[/tex]
Substitute [tex]y =18[/tex]
[tex]x \le 18[/tex]
A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?
Answer:
the perimeter is 28
Step-by-step explanation:
2+2=4
12+12=24
24+4=28
Answer:
Perimeter = 28 feet
Step-by-step explanation:
The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement
12 * d = 24
d = 24/12
d = 2
So the missing dimension is 2 feet
Now we simply find the perimeter of the rectangle using the formula
2 ( length + width)
= 2 (12 + 2 )
= 2 ( 14 )
= 28 feet
As shown in the diagram below, quadrilateral WXYZ is inscribed in a circle and m∠WZY = 69 degrees
Find the m∠WXY
9514 1404 393
Answer:
m∠WXY = 111°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
m∠WXY = 180° -m∠WZY
m∠WXY = 180° -69°
m∠WXY = 111°
HELPPP ITS A TESTAKAJNSDUJSWMNS
Answer:
5^6
Step-by-step explanation:
by the law of exponents,
5^2 * 5^(-8)
5^ [2+ (-8)]
5^(2-8) = 5^-6 = 1/5^6 = 5^6
If f(x)=3x^2-4x+9, find the f(2)
Answer:
13
Step-by-step explanation:
3(2)(2) -4(2)+9
12 -8 +9= 13
Examine the system of equations.
-5x + 5y = 40
4x +
Зу = 24
What is the solution?
Answer:
y = 26.2857143 or 184/7 or 26 2/7
x = -13.7142857 or -96/7 or -13 5/7
Step-by-step explanation:
-5x + 5y = 40
-x + y = 40
x = -40 + y
substitute x for -40 + y
4(-40 + y ) + 3y = 24
-160 + 4y + 3y = 24
7y = 184
y = 26.2857143 (?)
x = -40 + 26.2857143
x = -13.7142857
Kenji deposited $10 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 3 years?
0.3 so yea i guess....
Answer:
Step-by-step explanation: 380
Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a purple bead?
Answer:
10/70
Step-by-step explanation:
In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile
2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.
Answer:
Constant of variation: $8.25
Equation: y=8.25x
Step-by-step explanation:
231/28=8.25
Answer:8.25
Step-by-step explanation:
231/28
Please answer correctly! I will mark you as Brainliest!
Answer:
the height is 9.8 cm
Step-by-step explanation:
71.54 ÷ 7.3 = 9.8
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4
Given:
PQRS is a rectangle.
X is the midpoint of SR.
To find:
The measure of QX.
Solution:
It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.
Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.
The diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, a is the side length of the square.
QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:
[tex]d=4\sqrt{2}[/tex]
[tex]d=5.656854[/tex]
[tex]d\approx 5.7[/tex]
Therefore, the measure of segment QX is about 5.7 units.
Help pleaseeeeeeeeeee
Answer:
1.No
2.No
Step-by-step explanation:
5=x+5 x=10
5=10+5
5=15 is not solution
12x=196 x=7
12*7=196
84=196
1.55y-(5y-17)/100=0.02
Write in word form:
436,783,210
Answer:
Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten
Step-by-step explanation:
four hundred and thirty six
seven hundred and eighty three
two hundred and ten
Step-by-step explanation:
-6x+6y= -24
-6x+9y= −45
Answer:
1. X- Intercepts(s) : (4,0)
X- Intercepts(s) : (4,0)
X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)
X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.)
X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.) Y- Intercepts(s) :( 0, -5)
Step-by-step explanation:
To Find the X- Intercept Subsitute in 0 For Y solve for x. To find the y-intercept Substitute in 0 for x and solve for y.
A washer and a dryer cost $774 combined. The washer costs $76 less than the dryer. What is the cost of the dryer?
Answer:
The dryer costs 425 dollars
Step-by-step explanation:
x - washer
y - dryer
x+y=774
x=y-76
(y-76)+y=774
2y=774+76, 2y=850
y=425
y-76=x
425-76=x
x=349
Regina Falange is 173 cm tall, making her line of sight exactly 163 from the ground. She is looking at a hawk in a tree and both are on level ground. The trunk of the tree is 10 meters away from her location and the angle of elevation from her eyeline to the hawk is 30 degrees. What is the hawk’s height above the ground?
a. Drawn a diagram that outlines the situation. Be sure to label the tree, hawk, Regina, the angle, etc.
b. Find the height of the hawk above the ground in cm. (Hint: Remember Regina’s height.) Round to the nearest hundredth.
Answer: 7.40 meters
Step-by-step explanation:
I went with 163 cm for the height because it says her eyeline is at 163 cm. I don't assume she would be looking from the top of her head so I went with that over 173 cm(h for hawk)
All you do is:
tan(30)=opposite/adjacent
tan(30)=h/10
10*tan(30)=h
h≈5.77 meters
163cm converted to meters is 1.63 meters, so add it to 5.77 and you will get 7.40 meters
This might help as well: https://www.ck12.org/book/ck-12-trigonometry-concepts/section/1.13/
hii please help i’ll give brainliest
Answer:
third one
Step-by-step explanation:
pls try it yourself lololol
Please help ASAP I’ll mark you as brainlister
Answer:
So Sorry Omg Wait I'll will come back
Answer:
The length of rectangular prism(l)=13inch
The breadth of rectangular prism(b)=9inch
the height of rectangular prism(h) =3inch
Volume of a rectangular cuboid =l×b×h
=13×9×3inch (write cube too)
=351 inch (write cube too)
Find the Volume if the height is 10 cm and radius 3 cm? Round to the nearest
whole number
[tex]282.8cm pa brainlest po[/tex]