Answer:
(-5, -9)
Step-by-step explanation:
From the graph shown, the perfect ordered pair represented on the graph occurs when x = -5, y = -9. Therefore the required coordinate could be (-5, -9)
Find the probability of a couple having at least 1 girl among 4 children. Assume that boys and girls are
equally likely and that the gender of a child is independent of the gender of any brothers or sisters.
Answer:
15/16 (93.75%)
Step-by-step explanation:
List of Possible Combinations:
BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG
As you can see, only 1 out of 16 of the possible combinations is all boys. This means that the chance of at least 1 girl among the 4 children is 15 out of 16 (15/16) or 93.75%
what is the percent decrease on a Tv that has been marked down from $550 to $420? round to the nearest tenth
The percent decrease on a TV after the markdown to the nearest tenth is 23.6%.
What is the percent decrease on the TV after the markdown?The percent decrease formula can be expressed as:
Percent decrease = [( original value - new value ) / original value ] × 100%
Given the data in the question:
The original value of the TV = $550
New value after markdown = $420
Percent decrease =?
Plug the given values into the above formula and solve for the percent decrease.
Percent decrease = [( original value - new value ) / original value ] × 100%
Percent decrease = [( 550 - 420 ) / 550 ] × 100%
Percent decrease = [ 130 / 550 ] × 100%
Percent decrease = 0.2363 × 100%
Percent decrease = 23.6%
Therefore, the percent decrease is 23.6%.
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Betty received $ 500,000 from a life insurance policy to be distributed to her as an annuity certain in 10 equal annual installments with the first payment made immediately. On the day she receives her third payment, she is offered a monthly perpetuity of X in lieu of the future annual payments. The first payment will be made in exactly one month. The effective annual rate of interest is 8 %. Determine the value of X.
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Answer:
annual payment: $68,995.13monthly payment in perpetuity: X = $2394.76Step-by-step explanation:
a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).
pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)
pmt ≈ $68,995.13 . . . . annual payment
__
b) After the first payment, the account balance is ...
$500,000 -68,995.13 = $431,004.87
After subsequent payments, the account balance will be ...
$431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment
$396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment
The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:
X = $359,214.21 × (0.08/12) = $2394.76
According to the scale drawing, how wide will the actual patio be?
m
Garden
Patio
7 cm
Scale 1 cm: 2 m
The width of the actual garden patio according to the scale drawing is 14 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given the scale of 1 cm : 2 m
For a patio of 7 cm, then:
Actual patio = 7 cm / (1 cm/ 2m) = 14 m
The width of the actual garden patio according to the scale drawing is 14 meters.
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[tex] {4}^{m} = \frac{1}{16} \\ find \: m[/tex]
Answer:
[tex] {4}^{m} = \frac{1}{16} [/tex]
[tex] {4}^{m} = {4}^{ - 2} [/tex]
[tex]same \: base \: so[/tex]
[tex]m = - 2[/tex]
[tex]hope \: this \: help \: u[/tex]
Answer:
Answer:
{4}^{m} = \frac{1}{16}4
m
=
16
1
{4}^{m} = {4}^{ - 2}4
m
=4
−2
same \: base \: sosamebaseso
m = - 2m=−2
hope \: this \: help \: uhopethishelpu
10 ft wide by 14 ft long. if the ceiling is 8 ft high. what is the area of the four walls?
Answer: 80
Step-by-step explanation:
Abraham is writing a recursive function for the geometric sequence:
24, 12, 6, 3,
Khan Academy Problem PLEASE HELP
Answer:
a1 = 24
an = an-1 × 1/2, n >1
Step-by-step explanation:
a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.
so, we multiply 24 by something to get 12.
and then 12 by the same something to get 6.
and then 6 by the and something to get 3.
do you see the pattern ? hmmm ?
right, we always divide by 2 (or multiply by 1/2).
the starting value a1 = 24
so,
an = an-1 × 1/2, n>1
or
[tex]an = a1 \times {(1 \div 2)}^{n - 1} [/tex]
n>1
can you help me with these high rated questions
I wish you will help me with his highlighted questions
Answer:
52 is (a)
55 is.( d)
56. is (d)
helppp .....................
Answer:
D represents a proportional relationship
Step-by-step explanation:
Proportional graphs always intersect with zero
There are two 5s in the number 855,309. Rico
says that the 5 in the ten-thousinds place is 1000
times greater than the 5 to its right. Is she correct?
Explain how
you know
Answer:
no it is 10 times greater because we use the base 10 system where each number to the left is 10 times greater
Step-by-step explanation:
if ABCD is a parallelogram,find m>D and angle C=(9×-1) and angle A=(13×-25)
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Answer:
∠C = ∠A = 53°
∠D = 127°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so ...
∠A = ∠C
13x -25 = 9x -1
4x = 24
x = 6
∠C = ∠A = 9(6) -1
∠C = ∠A = 53°
Adjacent angles of a parallelogram are supplementary.
∠D = 180 -∠C
∠D = 180 -(9(6) -1) = 180 -53
∠D = 127°
Evaluate each expression.
Complete the table for the function y = x−−√3 + 7.
Answer:
option D (5 6 8 9) is the answer
Answer:
X [tex]\Longrightarrow -8\Longrightarrow -1\Longrightarrow 1\Longrightarrow 8[/tex]
Y[tex]\Longrightarrow 5\Longrightarrow 6\Longrightarrow 8\Longrightarrow 9[/tex]
[tex]Answer\hookrightarrow D)[/tex]
-------------------------
Hope it helps...
Have a great day!!
The price of a certain item is P dollars. The sales tax on the item is 7%. Which expressions represent the total cost of the item, in dollars, after the tax has been applied? Select EACH correct anwser
0.07P 1.07P P+0.07P 1+0.07P (1+0.07)P
Step-by-step explanation:
P = $ Dollars
Item = 7%
Answer
item 7/100 = 0.07/1 item
(1+0.07) P
Initial amount problem help
Answer:
3000
growth
2.2%
Step-by-step explanation:
he following chart reports the number of cell phones sold at a big-box retail store for the last 26 days. a. What are the maximum and the minimum numbers of cell phones sold in a day? b. Using the median, what is the typical number of cell phones sold?
Answer:
Maximum = 19
Minimum = 4
Median = 12
Step-by-step explanation:
The maximum number of phone sold per day is the value to the right of the horizontal axis as the values are arranged in ascending order ; Hence, the maximum number of phones sold per day is 19
Also, the minimum number of phones sold per day is the value to the left of the plot, Hence, minimum number of phones sold per day is 14.
The Median value : 4, 9, 14, 19
The median = 1/2(n+1)th term
1/2(5)th term = 2.5 th term
Median (9 + 14) /2 = 13 /2 = 11.5 = 12 phones
The Tres Difficult race helps raise money for charity. According to the website, of the proceeds from ticket sales go directly to charity.
2/5
Last year they made $8000 from ticket sales. How much was given to charity?
Answer:
3200
Step-by-step explanation:
We need to find 2/5 of the tickets sales
2/5 * 8000
3200
Answer:
3200
Step-by-step explanation:
you need to find what 2/5 is and the you take that away from 8000 and then you have your answer of 3200
During spring, young moose, unfamiliar with roads and traffic, are wandering around at night in a province, causing risk and road accidents. Suppose that the average number of road accidents involving moose was per day. The government increased the number of hunting licenses and cleared brush to improve drivers' visibility. On one day after these measures were implemented, there were road accidents involving moose.
Required:
a. What would be the chance of such accidents or fewer, assuming the government's measures were ineffective?
b. Do you think the government's measures were effective? State your reasons clearly.
If you apply the changes below to the cube root parent function, F(x) = 3/x
what is the equation of the new function?
• Translate 1 unit right.
• Translate 1 unit up.
A. G(x) = 3/x-1+1
B. G(x) = 3/x +1-1
C. G(x) =3/ x - 1-1
D. G(x) = 3/x+1+1
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Answer:
A. G(x) = ∛(x -1) +1
Step-by-step explanation:
The transformation f(x-h) +k represents a translation (right, up) by (h, k) of the parent function f(x).
Your translation of f(x) = ∛x by (1, 1) will give you the function ...
G(x) = ∛(x -1) +1
HELP PLEASE, Function problem
Answer:
-2
-1
-2
Step-by-step explanation:
please forgive me, but again, this is the simplest of the simplest things. how is that a problem ?
this costs so much more time to just put it in here and then copy answers than just doing it. this is literally a matter of seconds.
the functional value is -2 for all x that are not equal to 2.
and the functional value is -1, when x = 2
so, what is the problem ?
please see my other answer for more details on the solution.
please help me!!!!!!!!!!!!
Step-by-step explanation:
24. = 249030/30
=8,301 rs
Answer:
24. 8301, divide 249030 by 30
25. 9989001, but i dont know the property
Step-by-step explanation:
Find the intercepts of the function y = 3x + 9
Step-by-step explanation:
To solve for the x-intercept, set y=0 then solve for x.
y=−3x−9. 0=−3x−9. 3x=−9.
x=−3 when y=0.
To solve for the y-intercept, set x=0 then solve for y.
y=−3x−9. y=−3(0)−9. y=−9 when x=0.
Hi there!
Y-intercept:
Set the x value to 0:
y = 3(0) + 9
y = 9 --> (0, 9)
X-intercept:
Set the y value to 0:
0 = 3x + 9
Solve for x:
-9 = 3x
x = -3 --> (-3, 0)
2) If licorice cost $6.59 a pound, how much would it cost to buy a quarter pound of licoric
(Hint: Convert the mixed fraction to an improper fraction or decimal and multiply by th
quantity required)
Answer:
$1.65
Step-by-step explanation:
[tex]6.59*.25=1.65[/tex]or
[tex]6.59*\frac{1}{4} =1.65[/tex]Find the exact values of the six trigonometric functions at “a” given cos(2a) = - 4/5 and a is
in the 2nd quadrant.
If a is in the second quadrant, then cos(a) < 0 and sin(a) > 0.
Recall the double angle identity for cosine:
cos(2a) = 2 cos²(a) - 1 = 1 - 2 sin²(a)
It follows that
2 cos²(a) - 1 = -4/5 ==> cos²(a) = 1/10 ==> cos(a) = -1/√10
1 - 2 sin²(a) = -4/5 ==> sin²(a) = 9/10 ==> sin(a) = 3/√10
Then we find
1/cos(a) = sec(a) = -√10
1/sin(a) = csc(a) = √10/3
sin(a)/cos(a) = tan(a) = -3
1/tan(a) = cot(a) = -1/3
Remember the dataset of alligators which was about the length and weight of several aligators in Florida. The variable X is the length of aligator and the Y variable is the weight of them. A researcher decided to use decision tree and designed two steps: X<4, X>4. What is the name of this method of splitting?A. Multi-way splitting.B. Entropy classification.C. Binary splitting.D. Gini index.
Answer:
A. multi-way split.
Step-by-step explanation:
Multi way split consists of internal at decision tree branches. Gini index measures probability of impurity in the random variables chosen. Entropy is measure of uncertainty in the sample selected. Binary splitting is used to speed up numerical evaluation.
An alarm clock is slow. It falls behind 4 minutes every 24 hours. If the clock was showing the correct time at 6:00 this morning, how many seconds ahead was the clock at 10:00 last night?
Answer:
80 Seconds
I dont really want to type the whole thing out, just think about it again, or go to a tutor website, you should be able to get it, you have to use these, multiplication of three numbers, and multiplication and division by factorization of numbers.
Simplify the following expression: (4x2)2 • (3x3)3
Answer:
432x^13
Step-by-step explanation:
(4x^2)^2 • (3x^3)^3
We know that a^b^c = a^(b*c)
4^2 x^2^2 * 3^3 x^3^3
16 x^4 * 27 x^9
We know that a^b ^ a^c = a^(b+c)
16*27 x^(4+9)
432x^13
Answer:
432x¹³
Step-by-step explanation:
( 4x² ) ² • ( 3x³ ) ²
( 16x²)² • ( 27x³)²
[tex]16 x{}^{2 \times 2} \times 6 {}^{3 \times 3 } \\ 16x {}^{4} \times27 {}^{9} [/tex]
[tex](16 \times 27)x {}^{4 + 9} [/tex]
432x¹³
what's the radius of 16x^2+16y^2=1 With a center of (0,0) ?
Answer:
The center is (0,0) and the radius is 1/4
Step-by-step explanation:
The formula for a circle is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
16x^2+16y^2=1
Divide by 16
x^2+y^2=1/16
x^2 + y^2 = (1/4) ^2
(x-0)^2 + (y-0)^2 = (1/4) ^2
The center is (0,0) and the radius is 1/4
F(4) =
If g(x) = 2, x=
An
Step-by-step explon:
The square pyramid shown below has a base with sides of 10 units. The slant height of the pyramid is 8 units. What is the vertical height, h?
Round your answer to the nearest tenth.
Answer:
h = 6.2 units
Step-by-step explanation:
Given triangle ABC is a right triangle with the measures of the two sides,
BC = [tex]\frac{10}{2}[/tex] = 5 units
AC = 8 units
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
8² = AB² + 5²
AB² = 64 - 25
AB = √39
AB = 6.24 units
AB ≈ 6.2 units
