Answer:
1.86
Step-by-step explanation:
PLS HELP !!
G -9 < x < 2
F -9 < x < 2
H -6 < g (x) < 3
J -6 < g (x) < 3
Answer:
-6 <= g < 3
Step-by-step explanation:
-6 <= g < 3
Find the inverse function of f(x)=square root 3x+5
Answer:
[tex]\frac{x^2-5}{3} =y\\[/tex]
Step-by-step explanation:
since it is f(x), we can assume that
[tex]f(x)=y[/tex]
[tex]y=\sqrt{3x+5\\}[/tex]
to find the inverse of a function you just swap the x and y and then solve for y
[tex]x=\sqrt{3y+5\\}[/tex]
[tex]x^2=3y+5[/tex]
[tex]x^2-5=3y[/tex]
[tex]\frac{x^2-5}{3} =y\\[/tex]
Hope that helps :)
The sum of two numbers is 29. The sum of 3 times the larger and 6 times the smaller is 111. Find the numbers.
Answer:
8 and 21
Step-by-step explanation:
Answer:
The numbers are 21 and 8.
Step-by-step explanation:
Let x be the larger number and y be the smaller number.
According to question,
x + y = 29
or x = 29 - y ........(i)
Also,
3x + 6y = 111
Replacing x from (i), we get,
3(29-y) + 6y = 111
87 - 3y + 6y = 111
3y = 111 - 87
3y = 24
y = 24/3
y = 8
And,
x = 29 - y
= 29 - 8
= 21
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 60 cm, find its length and width.
length: 7 cm
Х
?
width: 1
cm
Answer:
The length of the rectangle is 25 cm, while the width is 5 cm.
Step-by-step explanation:
Given that the length of a rectangle is five times its width, to find its length and width, knowing that the perimeter of the rectangle is 60 cm, the following calculation must be performed:
(5X x 2) + (X x 2) = 60
10X + 2X = 60
12X = 60
X = 60/12
X = 5
5x5 = 25
Thus, the length of the rectangle is 25 cm, while the width is 5 cm.
Which of these choices are square roots of 144? Check all that apply.
Answer:
E
Step-by-step explanation:
A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 22 houses that sold in their neighborhood took an average time of 190 days to sell. The realtor also tell them that based on her prior experience, the population standard deviation is 72 days. Assume the number of days to sell a house has a normal distribution Find the lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood.
Answer:
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{72}{\sqrt{22}} = 30[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 190 - 30 = 160 days
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
How many lines of symmetry does the figure below have?
Answer:
4
Step-by-step explanation:
straight (1)
horizontal (1)
both diagonals (2)
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 20
Answer:
1 in 6, i think
Step-by-step explanation:
Answer:
0%
Step-by-step explanation:
There is no answer higher then 12 it's impossible to roll a 20
Joey compared the cost of 9 different toys.
$2, $8, $4, $7, $8, $5, $8, $4, $6
What is the median cost of the books?
Question 1 options:
$8
$5
$6
Answer:
6$
Step-by-step explanation:
$2, $8, $4, $7, $8, $5, $8, $4, $6
2, 4, 4, 5,6,7,8,8,8
6$
A mid-size city must decide whether or not to build a new combined bus and train station. To build the new station will require an increase in city taxes. According to a city politician, 70% of all city residents support the tax increase to build a combined bus and train station. An opinion poll of 400 city residents will ask whether they favor a rise in taxes to pay for a combined bus and train station. What is the standard deviation of the distribution of sample proportions?
Answer:
The standard deviation of the distribution of sample proportions is 0.0229.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
70% of all city residents support the tax increase to build a combined bus and train station.
This means that [tex]p = 0.7[/tex]
400 city residents
This means that [tex]n = 400[/tex]
What is the standard deviation of the distribution of sample proportions?
By the Central Limit Theorem:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{400}} = 0.0229[/tex]
The standard deviation of the distribution of sample proportions is 0.0229.
W W
1000
A) 35°
C) 25°
B) 55°
D) 40°
Answer:
I don't get the question well,so if u can reframe it
Find the measure of angle A
Find the solution set for this inequality. SHOW YOUR WORK OR NO CREDIT
-2x+4>-4x+8
Answer:
Below
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x >2
Interval Notation: ( 2, ∞)
Hope this helps:)
Decrease $260 in the ratio 3:5
Mount McKinley in Alaska is North America’s highest mountain. The mountain is 20,320 feet high. To the nearest mile, find the distance from the summit to the horizon at sea level.
Answer:
4 miles
Step-by-step explanation:
3.8484848 rounded is 4
Classify ∠1 and ∠2 using all names that apply
Step-by-step explanation:
complementry
since the angle 1 and 2 both measures 90⁰
Answer: Choice 2 Adjacent and Choice 4 Supplementary
Step-by-step explanation:
Here, we are given four choices, and I will be defining each of them.
Vertical angles: two angles that are opposite to each other which was formed by two intersecting lines.Adjacent angles: two angles that share one common vertex and "arm"Complementary angles: two angles that add up to 90°Supplementary angles: two angles that add up to 180°-----------------------------------------------------------------------------------------------
We can see from the figure given
Both angles are 90°, so ∠1+∠2=90+90=180°
Which is supplementary.
We can see from the figure given
Both angles share a common arm and vertex
Which is adjacent
Hope this helps!! :)
Please let me know if you have any questions
Which value is needed in the expression below to create a perfect square trinomial?
Answer:
The value which is needed to be added to transform the quadratic expression as a perfect square Trinomial is 16.The diameter of a circle is 8 centimeters. What is the circle's circumference?
Answer:
25.13 centimeters
Step-by-step explanation:
Hailey made the following statement
"It is impossible to build a rectangular prism with a volume of 40 units it one side measures 5 units."
Key
represents
1 cubic unit
Select the two figures below that prove Hailey's statement is false
Answer:
D
Step-by-step explanation:
What is sin(sec^-1 (u))
Answer:
i think
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠TUX and ∠WXU
Step-by-step explanation:
Alternate interior angles are angles that lie on the inside of the parallel lines, but different sides.
∠TUX is on the left side.
∠YXU is on the right side.
Therefore, ∠TXU and ∠WXU are alternate interior angles.
Hypotheses: p=.5 vs p NE .5 ; Sample data: p=28/40= .70 with n=40 Round the p-value to three decimal places.
Answer:
hahahahahaha yes hnjoo
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month. Minutes 500 750 1,000 1,250 1,500 Total Monthly Cost (in dollars) $62 $77 $92 $107 $122Choose the correct linear model that represents the total monthly cost as a function of time. y = 0.06 x + 500 y = 16 x + 32 y = 62 x + 16 y = 0.06 x + 32
Answer:
the answere is y=543.2
Step-by-step explanation:
thats it
The average monthly mortgage payment for all homeowners in a city is $2870. Suppose that the distribution of monthly mortgages paid by homeowners in this city follow an approximate normal distribution with a mean of $2870 and a standard deviation of $470. Find to 4 decimal places the probability that the monthly mortgage paid by a randomly selected homeowner from this city is
Answer:
The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167
Step-by-step explanation:
Given
[tex]\mu = 2870[/tex] --- the average
[tex]\sigma = 470[/tex] --- the standard deviation
Required [Missing from the question]
Monthly mortgage is between 2300 and 3140
This is represented as:
[tex]P(2300 < x < 3140)[/tex]
This is calculated as:
[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]
[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]
Calculate the z scores
[tex]x = 3140[/tex]
[tex]z = \frac{3140 - 2850}{470}[/tex]
[tex]z = \frac{290}{470}[/tex]
[tex]z = 0.6170[/tex]
[tex]x = 2300[/tex]
[tex]z = \frac{3140 - 2300}{470}[/tex]
[tex]z = \frac{840}{470}[/tex]
[tex]z = 1.7872[/tex]
So, we have;
[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]
This is then calculated as:
[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]
[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
Using the z table:
[tex]P(Z<0.6170) =0.73138[/tex]
[tex]P(Z<1.7872) =0.96305[/tex]
[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]
[tex]P(2300< x < 3140) = 0.23167[/tex]
1- A roofing contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $1040. In a second purchase (at the same prices), the contractor buys 8 bundles of shingles for $256. Find the price per bundle of shingles and the price per roll of roofing paper.
32$ per bundle of shingles
20$ per roll of roofing paper
256÷8 = 32 (price of per bundle of shingles)
32×30 = 960 ( price of 30 bundles of shingles)
1040-960 = 80( price of 4 rolls of roofing paper)
80÷4 = 20 ( price of per roll of roofing paper).
A gum ball machine has 25 red gum balls, 30 green gum balls, 15 yellow gum balls, and 20 blue gum balls. If Peter puts 1 coin in the machine and gets 1 gum ball, what is the probabllity that the gum ball will not be red?
Answer:
It should be 13/18
Step-by-step explanation:
pls answer this plssssssssssss
Answer:
Angle C = 160° [given]
Angle A =?
Angle A = Angle C [Vertically Opposite Angles]
Angle A = 160° [option 1]
help with math please:)
Answer: ben
Step-by-step explanation:
-7y= -91
I need help!
Answer:
y=13
Step-by-step explanation:
divide each term by -7 and simplify
Answer:
y = 13
Step-by-step explanation:
-7y = -91
y = -91/-7
y = 13
Gift brainliest please D: If you hover over this answer, cllck the crown at the bottom.
What is the measure of n?
Please help!!
Answer:
70°
Step-by-step explanation:
n+20=90° [being a right angelled triangle]
or, n=90°-20°
therefore n=70°
I guess this is the answer but please confirm first.