Given:
The inequality is:
[tex]-20t>-80[/tex]
To find:
The solution for the given inequality and graph of it.
Solution:
We have,
[tex]-20t>-80[/tex]
Divide both sides by -20 and change the sign of inequality because inequality is divided by a negative number.
[tex]\dfrac{-20t}{-20}<\dfrac{-80}{-20}[/tex]
[tex]t<4[/tex]
Therefore, the solution for the given inequality is [tex]t<4[/tex].
All the value less than 4 are in the solution set. It means all the values on the left side of 4 are in the solution set.
Since 4 is not included in the solution set, therefore there is an open circle at 4.
The graph for the given inequality is shown below:
Are the following similar? Why or why not
Answer:
yes
Explanation:
the ratios of the corresponding sides are equal: 3/2the corresponding angles are equal9514 1404 393
Answer:
(a) Yes
Step-by-step explanation:
Two angles of one triangle have the same measures as two angles of the other triangle. The triangles are similar by the AA similarity postulate.
Find the Area of the Shaded Region.
183 in
184 in?
182 in2
117 in?
Answer:
Shaded Region? 182in²?
Step-by-step explanation:
Where is the Shaded Region?
but between all The options you gave it to us 182in² have area unit
HELP PLSS IT WOULD BE NICE
Daniel invests $10,000 in a savings account that pays 1.5% simple interest. How much will be in the
account after 5 years if Daniel makes no withdrawals or deposits to the account?
A jar contains n nickels and d dimes. There is a total of 257 coins in the jar. The value of the coins is $17.35. How many nickels and how many dimes are in the jar?
Answer:
Here's what we know:
n + d = 20 (there are a total of 20 nickels and dimes)
.05n + .1d = 1.4 (total change equals $1.40)
There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case:
-10(.05n + .1d = 1.4) this will cause the d-variable to equal 0:
n + d = 20
-.5n - d = -14
------------------
.5n = 6
n = 12
Now that we know n, we can solve for d:
12 + d = 20
d = 8
Check:
.05 * 12 + .1 + 8 = 1.4
.6 + .8 = 1.4
1.4 = 1.4
Step-by-step explanation:
Whales have one of the longest gestation periods of any mammal. According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 12 months
a. Find the standard score associated with a gestation period of 13.8 months
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
c. Would it be unusual for a whole to have a gestation period of 21 months? Why or why not?
The standard score associated with a gestation period of 13.8 months is __________.
Answer:
a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.
According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.
I corrected to 1.2 because it is what makes sense considering the questions.
This means that [tex]\mu = 15, \sigma = 1.2[/tex]
a. Find the standard score associated with a gestation period of 13.8 months
This is Z when X = 13.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13.8 - 15}{1.2}[/tex]
[tex]Z = -1[/tex]
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.
The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.
So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?
Let's find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 15}{1.2}[/tex]
[tex]Z = 5[/tex]
Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
carl has 1,064 legos. sharon has 19 time the amount of legos. how many legos does sharon have
1064 x
19
________
20216 legos
Sharon has 20216 legos
Solve for m
–5m + 10 = –10 − 10 + 10m
Will mark brainliest! The triangles shown below must be congruent, true or false
Answer:
Step-by-step explanation:
False
What is the diameter of a 15 ft circle?
Answer:
47.12
Step-by-step explanation:
what is the answer to (8+10) x1/2 =
Answer:
9
Step-by-step explanation:
18 x 1/2
18/2
9
Answer: 9
Step-by-step explanation:
Parenthesis first, so 8+10 =18 .
18 multiplied by 1/2 = 9
Please help me with this geo question
Answer:
option c buddy!!!.....
LOOK AT THE PICTURE!!
Answer:
125 I think
Hope this helps
If the measure of angle CBD is 5(7x + 15) degrees, then what is the value of x. (Angle CDB is 180)
x =
Answer:
[tex]\huge\boxed{\sf x = 3 }[/tex]
Step-by-step explanation:
If the measure of :
∠CBD = 5 ( 7x + 15 )
Also,
∠CBD = 180°
Then,
5 (7x + 15) = 180
35x + 75 = 180
Subtract 75 to both sides
35x = 180 - 75
35x = 105
Divide both sides by 35
x = 105 / 35
x = 3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be on a $66 meal?
Answer:
5.61
Step-by-step explanation:
66/22 = 3
3×1.87 = 5.61
(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
Clear All
Check Answer
All parts showing
Answer:
area = 138 m²
Step-by-step explanation:
radius of large circle = 12 m
radius of small circle = 10 m
large circle area = πr² = (3.14)(12²) = 452.16 m²
small circle area = πr² = (3.14)(10²) =314 m²
452.16 - 314 = 138.16 m²
The most popular pizza at Pavone’s Pizza is the 9-inch personal pizza with one topping. What is the area of a pizza with a diameter of 9 inches?
Answer:
63.62
Step-by-step explanation:
pie X r^2
Find the area of the trapezoids
Subtract 9x^2 – 10x + 1 from – 2x^2 + 4x – 10.
Answer:
Step-by-step explanation:
the answer is 11x^2-14x+11 umm thats what i got
( 9x² - 10x + 1 ) - (-2x² + 4x - 10 )
9x² + 2x² = 11x²
-10x - 4x = -14x
1 - (-10) = 1 + 10 = 11
so the answer is
11x² - 14x + 11
What is the surface area of a right circular cylinder with a diameter of 14 meters and a height of 9 meters
Answer:
This is your answer ☺️☺️☺️
What is the measure of the missing angle?
40°
75°
Answer:
65
Step-by-step explanation:
40+75=115
180-115=65
If this is an triangle
does anyone know any of these?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: I know #2 is G
Explanation:
A polygon is a plane figure with at least three STRAIGHT sides and angles.
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Please help me and happy april fools day! B)
Answer:
A,C,D,F
Step-by-step explanation:
LOOK AT THE PICTURE!!
Answer:
56
Step-by-step explanation:
Which answer is it? I really need help here
Answer:
I believe The answer is D
Step-by-step explanation:
I believe this because If you write the 12's as an exponent it will be 12*4 and the 3's as an exponent will be 3*4. Now just add in the remaining numbers:
12*4 + 7( 3*4 + 3)
PLEASE HELP
x + 2/3 = 9/10
Answer:
The answer is x= 7/30
find ratio of 13cm : 65m
Answer:
1:5
Step-by-step explanation:
13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5
Determine whether the equation is true or false.
Answer:
False
Step-by-step explanation:
Hope I helped :)
Look at the picture below and answer the question that is being asked
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because they are telling you that the 7th graders were randomly chosen out of everyone who rides in a car to school to be fractioned out.
Dawn bought 12 grams of chocolate. She ate half of the chocolate. How many grams of chocolate did she eat