Answer:
-8
Step-by-step explanation:
3+(−4)−8−(−1)=-8
what is the probability that the card drawn from a stack of 52 cards is a face card or a black card?
Answer: 8/13
Step-by-step explanation:
There are 52 cards in a deck.
26 cards are black --> P(Black) = 26/52
Face cards are J, Q, K. There are 12 face cards --> P(Face) = 12/52
6 Face cards are black --> P(both) = 6/52
Face card or Black card - both Face card & Black
[tex]\dfrac{26}{52}[/tex] + [tex]\dfrac{12}{52}[/tex] - [tex]\dfrac{6}{52}[/tex] [tex]=\dfrac{32}{52}[/tex]
[tex]\dfrac{32}{52}\div \dfrac{4}{4}=\dfrac{8}{13}[/tex]
a ladder 10 m long,leans against a vertical wall at an angle of 70° to the ground.if the ladder slips down the wall 4m,find,correct to 2 significant figure
(a) the new angle which the ladder makes with the ground
(b) the distance the ladder slipped back on the ground from it's original position
Answer:
(a) The new angle the ladder makes with the ground = 32.66°
(b) The distance the ladder slipped back on the ground from it's original position = 5 m
Step-by-step explanation:
The given parameters are;
The length of the ladder = 10 m
Angle of inclination of the ladder = 70°
Length to which the ladder slips down the wall = 4 m
(a) The height of the wall adjacent to the ladder = 10×sin(70°) ≈ 9.4 m
The new height of the wall adjacent to the ladder after the ladder slips down 4 m = 9.4 - 4 = 5.4 m
Therefore, the new angle of inclination of the ladder = sin⁻¹(5.4/10) = 32.66°
The new angle the ladder makes with the ground = 32.66°
(b) The distance the ladder slipped back on the ground from its original position is found as follows
The initial distance of the base of the ladder from the wall = 10 × cos(70°) = 3.42 m
The distance of the base of the ladder from the wall after slipping 4 m down the wall = 10 × cos(32.66°) ≈ 8.42 m.
Therefore, the amount by which the ladder slip back on the ground from its original position = 8.42 - 3.42 = 5 m.
The distance the ladder slipped back on the ground from it's original position = 5 m.
Hey Jean’s grandmother is teaching him how to make a salsa recipe each batch of salsa requires one for 12 cup of red onions if they have one and a half cup of red onions how many batches of salsa can they make
Answer:
Number of salsa batches produced = 18 batches
Step-by-step explanation:
Given:
1 red onion = 12 batch of salsa
Amount of red onion = one and half (1.5)
Find:
Number of salsa batches produced
Computation:
Number of salsa batches produced = 1.5 × 12
Number of salsa batches produced = 18 batches
What is the prime factorization of 315?
Y=4x-3; A(5,17) Use substitution to determine whether the point is on the line.
Answer:
the point is on the line
Step-by-step explanation:
The ordered pair gives the values of (x, y). Put those values in the equation and see if it is true:
y = 4x -3
17 = 4(5) -3 = 20 -3 . . . . . . for (x, y) = (5, 17)
17 = 17 . . . . true, the point is on the line
If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?
Answer:
m = 2
Step-by-step explanation:
Given:
x = 4
y = 6m - 2
a = 8
b = 5
Required:
Value of m
SOLUTION:
x and y are segments of a chord divided when it intersects another chord that also has segments a and b.
According to the Intersecting chords theorem, [tex] a*b = x*y [/tex]
Thus:
[tex] 8*5 = 4*(6m - 2) [/tex]
Solve for m
[tex] 40 = 24m - 8 [/tex]
[tex] 40 + 8 = 24m - 8 + 8 [/tex]
[tex] 48 = 24m [/tex]
[tex] \frac{48}{24} = \frac{24m}{24} [/tex]
[tex] 2 = m [/tex]
The value of m = 2
Translate into a variable expression.
the product of a number n and four more than the number
Answer:
(x)n+4
Step-by-step explanation:
x=quantity multiplied by n for a product
n=a number
+4=4 more than the number
HOPE THIS HELPS!!!!!! :)
<3333333333
What is the value of 4 in the number 45?
Answer:
40
Step-by-step explanation:
4 is in "Ten's place".
So, the number is multiplied with 10.
=> 4 x 10
=> 40
The value of 4 in 45 = 40
A temperature recorded in Antarctica was - 122°F. The temperature recorded in the Sahara Desert was 130°F. How many degrees warmer is 130°F than - 122°F?
ebook
Answer:
252* warmer
Step-by-step explanation:
130 -(-122) = 130 + 122 = 252
In triangle abc, the length of side and is 10 inches and the length of side be is 17 inches . Which of the following could be the length of side ac
Answer:
a^2=b^2+c^2.
a^2=10^2+17^2.
a^2=100+289.
a^2=389.
a=√389.
a=19.72~20cm.
Geometry: Find the value of x.
X = [?]°
Answer:
x = 25°
Step-by-step explanation:
The secant- secant angle DGB is half the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] ( BD - FE) = 55
[tex]\frac{1}{2}[/tex](135 - x) = 55 ( multiply both sides by 2 )
135 - x = 110 ( subtract 135 from both sides )
- x = -25 ( multiply both sides by - 1 )
x = 25°
What mixed
number represents thirty-eighths?
Answer:
............... 3 6/8
Johanna rode her bike 7 miles to a lake . She rode 3/4 of distance to the lake before lunch. How many miles did johanna ride before lunch?
Answer:
5.25 miles
Step-by-step explanation:
Total distance = 7 miles
Distance she rode before lunch = 3/4 of the total distance
=> 3/4 of 7
=> 21/4
=> 5.25 miles
So, she drove 5.25 miles before lunch.
Which value of x makes the equation true?
X + 7 = -9
A.-16
B.-2
C. 2
D.16
the answer is:
A. -16
Find the value of 4!.
☺ Hi ☺
Find the value of 4!.
• Let's find the value of 4! :
[tex]4! = 4 × 3 × 2 × 1 = {24}[/tex]
Which of the following is an odd function?
f(x) = x3 + 5x2 + x
f (x) = StartRoot x EndRoot
f(x) = x2 + x
f(x) = –x
Answer: [tex]f(x)=-x[/tex]
Step-by-step explanation:
When f(-x)= -f(x), then it is known as an odd function.
i) [tex]f(x) = x^3 + 5x^2 + x[/tex]
Then, [tex]f(-x)=(-x)^3+5(-x)^2+(-x)=-x^3+5x^2-x\neq -x^3-5x^2-x[/tex]
i.e. [tex]f(-x)\neq-f(x)[/tex]
ii) [tex]f(x)=\sqrt{x}[/tex]
[tex]f(-x)=\sqrt{-x}\neq-\sqrt{x}[/tex]
i.e. [tex]f(-x)\neq-f(x)[/tex]
iii) [tex]f(x)=x^2+x[/tex]
[tex]f(-x)=(-x)^2+(-x)=x^2-x\neq-x^2-x[/tex]
i.e. [tex]f(-x)\neq-f(x)[/tex]
iv) [tex]f(x)=-x[/tex]
[tex]f(-x)=-(-x)=x[/tex]
[tex]-f(x)=-(-x)=x[/tex]
i.e. [tex]f(-x)=-f(x)[/tex]
Hence, f(x) is an odd function.
Answer:
D
Step-by-step explanation:
if you don't want to read
It is known that the birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7. Approximately what proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs? Provide all four decimal places in your answer.
Answer: 0.4419
Step-by-step explanation:
Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.
i.e. [tex]\mu=6.8\ \ \ \text{ and }\sigma= 1.7[/tex]
Let X denotes the birth weight.
Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-
[tex]P(6<X<8)=P(\dfrac{6-6.8}{1.7}<\dfrac{X-\mu}{\sigma}<\dfrac{8-6.8}{1.7})\\\\=P(-0.47<Z<0.71)\ \ \ [Z=\dfrac{X-\mu}{\sigma}] \\\\=P(Z<0.71)-(1-P(Z-0.47))\\\\=0.7611-(1-0.6808)\ \ \ [\text{By z-table}]\\\\= 0.4419[/tex]
Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .
Determine if ΔABC and ΔFHG are similar. If so, write the similarity statement.
options:
A) The triangles are not similar
B) ΔABC ∼ ΔHFG
C) Impossible to determine.
D) ΔABC ∼ ΔFHG
Answer:
[tex]\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}[/tex]
Step-by-step explanation:
The two triangles are similar.
The corresponding sides are proportional.
AB ∼ FH
[tex]\displaystyle \frac{72}{12} =6[/tex]
AC ∼ FG
[tex]\displaystyle \frac{48}{8} =6[/tex]
BC ∼ GH
[tex]\displaystyle \frac{84}{14} =6[/tex]
Can Someone please help me with this?
Answer:
9^18
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
__
[tex](9^3)^6=9^{3\cdot 6}=\boxed{9^{18}}[/tex]
Can someone help me!!!
Answer:
Step-by-step explanation:
[tex]a.\\sin \theta =\frac{12}{13}\\\theta=sin ^{-1}(\frac{12}{13}) \approx 67^\circ\\b.\\cos75=\frac{x}{13}\\x=13 cos ~75 \approx 7.5 ~ft[/tex]
it forms a right angled triangle.
ladder=hypotenuse.
side of house=perpendicular.
from the base of house to the foot of ladder on the ground=base
9 6/1 − 5 3/1 is equal to what?
Answer:
7
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
PLZ HELP ME OUT Is 1.3 rational or irrational? Is 36 rational or irrational Is 3.14 or pi rational or irrational Is 2/3 rational or irrational
A rational number can be made by dividing two integers.
An irrational number cannot be made by dividing two integers.
1.3 is rational
36 is rational
2/3 is rational
Pi is not rational
what is simplifying?
what is simplifying in math?
Answer:
Simplifying means making (something) simpler or easier to do or understand.
Simplification in math is the process of replacing a mathematical expression by resolving it or making it shorter.
Step-by-step explanation:
hope it will help :)
In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be (other things being equal
Answer:
15% above the trend.
Step-by-step explanation:
A time series represented by Y comprises of dataset observed over a particular period of time. Time series is handy in determining the future of a particular business.
In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be
Y = T × C × S × 1
where;
Seasonal S = 1.15
As such Y would increase by 15% above the trend if all other things are being equal.
Solve equation x-9= -12
Answer: x=-3
Step-by-step explanation:
move -9 over to -12 and the 9 becomes positive and then add -12+9 and your answer will be negative
What does a “3-mile” radius mean? What does it look like, and how large is it?
Answer:
the radius is halfway across the circle, while diameter is all the way across. for reference, a three mile radius would be equivalent to 52.8 football fields
Step-by-step explanation:
Solve this equation 7- 4=7 +:
Answer:
what is after the plus sign
Perform the calculations and determine the absolute and percent relative uncertainty. Express each answer with the correct number of significant figures. To avoid rounding errors, do not round your answers until the very end of your calculations. [8.47(±0.06)]1/3=[8.47(±0.06)]1/3= absolute uncertainty: ±± percent relative uncertainty: ±± %% log[6.56(±0.05)]=log[6.56(±0.05)]= absolute uncertainty: ±± percent relative uncertainty ±± %%
Answer: (a). 0.2% (b). 0.4%
Step-by-step explanation:
This is quite straightforward, so let us follow this carefully.
(a) let us consider the expression that was given in the question;
(8.47 + 0.06)1/3 from the binomial expression,
⇒ (x + ∆x)n = xn + nxn-1∆x
So using the stated formula above
(8.47 + 0.06)1/3 = (8.47)1/3+ 1/3(8.47)1-(1/3) (0.06) = 2.038 + 1/3(8.47)(2/3) (0.06)
= 2.038 + 0.005
This gives us the algebric value as x = 2.038
Also, the uncertainity is ∆x = 0.005
Let us calculate the percentage of relative uncertainity;
Relative uncertainity percent is given thus;
⇒ (∆x / x) * 100
= (0.005 / 2.038) * 100 = 0.2%
We have that the relative uncertainity percent is 0.2%
(b). Also we will consider the expression;
log(6.56 + 0.05)
Let us apply the binomial expression to this;
log(6.56 + 0.05) = log(6.56) + ((0.05)2 / 6.56) = 0.817 + 0.003
This makes the algebric value of x = 0.817
and the uncertainity is ∆x = 0.003
Therefore the Relative uncertainity percent is = (∆x / x) * 100
= (0.003 / 0.817) * 100 = 0.4%
We have the relative uncertainity percent as 0.4%
cheers I hope this helped !!
) A basketball court is 94 feet by 50 feet. Eight fans can
fit next to each other in a 3 ft. by 3 ft. area. How
many kids would you estimate can fit side by side
over the entire floor?
Answer:
4178kidsStep-by-step explanation:
Area of the basket ball court = Length * Breadth (since it is rectangular in nature)
Area of the basket ball court = 94 feet * 50 feet
Area of the basket ball court = 4700ft²
Area of the space covered by 8 kids = 3ft * 3ft = 9ft²
To know the number of kids that would fit the entire floor, we will use the expression;
Number of kids in the floor = 8*Area of the basket ball court /Area of the space covered by 8 kids = 8*4700/9
= 8*4700/9
= 8*522.22
≈ 4,178 kids
Hence approximately 4,178 kids can fit side by side over the entire floor
Convert 330 meters per second (m/s) to kilometers per minute (km/min). A) 1.98 x 10^1 km/min B) 1.98 x 10^-1 km/min C) 1.98 x 10^2 km/min D) 1.98 x 10^-2 km/min
Answer:
A
Step-by-step explanation:
330 m/s=330×60 m/min=19800/1000 km/min=198 km/min=1.98×10^1 km/min