Meliyah is an administrative assistant. She earns a weekly salary of $412.00. She applied and was hired for an administrative specialist position. Meliyah’s annual salary in her new position will be $24,388.00. How much will Meliyah’s weekly salary be in her new position?
Answer:
[tex]Weekly\ Salary = \$469[/tex]
Step-by-step explanation:
Given
[tex]Current = \$412.00[/tex] --- weekly
[tex]NEw = \$24.388.00[/tex] --- annually
Required
Determine her new weekly salary
To do this, we simply divide her salary by 52 (the number of weeks).
So, we have:
[tex]Weekly\ Salary = \frac{\$24,388.00}{52}[/tex]
[tex]Weekly\ Salary = \$469[/tex]
Her weekly salary is $469
If a square has a side of (3x+5), what is its perimeter?”
O
a.6x + 10
b.3x + 15
c.123 + 5
d.123 + 20
Answer:
Step-by-step explanation:
The perimeter of a square is four times a side. We are told a side equals 3x+5 so
P=4S
P=4(3x+5)
P=12x+20
Sydney needs $450 to buy a TV for her room.she already saved $50. She earns $20 an hour at her job.set up and solve an equation to find how many hours she needs to work to buy the TV.
A sel contains eleven elements.
a) How many subsets does it have?
b) How many proper subsets does it have?
Answers:
a) 2048b) 2047=============================================================
Explanation:
If a set has n elements inside it, then it has 2^n different subsets.
Consider a set like {a,b,c}. It has n = 3 elements.
It has 2^n = 2^3 = 8 subsets
Those 8 subsets are...
{a,b,c} ..... any set is a subset of itself{a,b}{a,c}{b,c}{a}{b}{c}{ } .... the empty setAs you can see, each subset consists of items that are selected from the original set {a,b,c}. We can't have any repeat letters.
In that list, items 2 through 4 represent subsets with exactly two things inside it. Items 5 through 7 are known as singletons as they only have one item inside each set. The empty set can be written with the symbol [tex]\varnothing[/tex] or you could have a pair of braces with nothing inside them. The empty set is a subset of any set.
--------------
Note how I included {a,b,c} as a subset. Any set is a subset of itself.
A proper subset will ignore the original set and only look at smaller subsets. If we say B is a proper subset of A, then set B will have fewer items compared to set A. Without the "proper" in there, it's possible that A = B.
So all we've done really is kick out one set which drops 2^n to (2^n)-1 when counting the number of proper subsets. I'm using parenthesis to indicate the "-1" is not part of the exponent. If you wrote this on your paper, then you would likely write [tex]2^{n} - 1[/tex]
--------------
For this problem, n = 11
This means there are 2^n = 2^11 = 2048 subsets and (2^n)-1 = 2048-1 = 2047 proper subsets.
The number of subset of a set containing 11 elements is 2,048
And, number of proper subset of a set containing 11 element is 2,047.
Here,
A set containing 11 elements.
We have to find number of Subsets and number of Proper subsets.
What is Proper subset of a set?
Set A is considered to be a proper subset of Set B if Set B contains at least one element that is not present in Set A.
Now,
Let a set containing n elements.
then, Number of subsets = [tex]2^{n}[/tex]
And, Number of proper subsets = [tex]2^{n} -1[/tex]
Hence,
A set containing 11 elements.
Number of subsets = [tex]2^{11} = 2,048[/tex]
And, Number of proper subsets = [tex]2^{11} -1 = 2,048 - 1 = 2,047[/tex]
Hence, The number of subset of a set containing 11 elements is 2,048
And, number of proper subset of a set containing 11 element is 2,047.
Learn more about the proper subsets visit:
https://brainly.com/question/23602382
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Determine the center of the circle whose equation is (x – 5)2 + (y + 7) = 14
Answer:58 approximately c
Step-by-step explanation:
a sporting goods manufacturer requires 2/5yd of fabrick to a pair of soccer shorts how many shorts can be made from 4yd of fabric
Answer:
10 pair of soccer shorts.
Step-by-step explanation:
Let the unknown be x.
Translating the word problem into an algebraic equation, we have;
2/5 yard = 1 pair of short
4 yard = x pair of short
Cross-multiplying, we have;
2x/5 = 4
Multiplying both sides by 5, we have;
2x = 20
x = 20/2
x = 10 pair of soccer shorts.
the three angles of a triangle are in the ratio 1:3:5 find the angles
Answer:
The ratio 1:3:5 by doubling each number is the same as 2:6:10 and the big one 10 is 10/(2+6+10) = 10/18 of the total, so multiplying top and bottom by 10 gives 100/180, so the biggest angle is 100° since the sum of all angles must be 180°.
m∠FDC=124°; m∠EAB=2x, m∠ACG=4x. Find: x, m∠ACD
Answer:
x=28 degrees
Step-by-step explanation:
4x = 28*4 = 112
180 degrees - 112 = 68
ACD = 68
Fossils show that
insects were much larger around 300 million
years ago than they are today. The table at
the right shows some of the wing lengths
found in fossils. How much longer was the
wing length of the dragonfly than the wing
length of the fly?
Answer:
The wing of the dragonfly was 9.65 cm longer than that of the fly, 102% larger in percentage terms.
Step-by-step explanation:
Since the length of the wing of the old dragonfly was 19.5 cm, while the length of the wing of a common fly is 9.85 cm, to determine how long the dragonfly's wing was compared to that of the fly, the following must be done calculations:
19.5 - 9.85 = X
9.65 = X
Thus, the wing of the dragonfly was 9.65 cm longer than that of the fly. In turn, in terms of percentages, the result is the following:
9.65 = 100
19.5 = X
19.5 x 100 / 9.65 = X
1950 / 9.65 = X
202 = X
Thus, in percentage terms, the dragonfly's wing was 102% larger than that of the current fly.
20 points!!!Please help HURRY!!!
Answer:
Definitely not!
Step-by-step explanation:
It was reflected across the x axis, resized and moved in x and y directions, but since the shape ABCD is symmetrical across the y axis, a reflection across y axis won’t change anything!
Juan and his sister collected 108 shells while at the beach. Of the shells they collected, 79 were white. Write and solve an equation that can be used to find how many white shells Juan and his sister collected.
Answer:
108-79=29
Step-by-step explanation:
Answer:
it literally says that 79 of dem were white lol
Step-by-step explanation:
9(2+2p) show distributive property
Answer:
9(2+2p)
9 x2 + 9 x 2p
18 +18p
Kristin wants to buy a pair of jeans that cost $35 and are on sale
20% off. She is also buying two T-shirts at a full price of $9.99 each.
She must pay 6.5% sales tax. How much will she pay for the clothes
Answer:
$51.10
Step-by-step explanation:
First, find 20% of $35, then add the sale price of the jeans and the two t-shirts. Take the total and find the sales tax and add that onto the cost.
100 - 20 = 80 If you multiply the jeans by 80% it gives you the price for the jeans saving you from having to subtract the discount from the original price.
35 * 0.80 = $28.00 jeans 28.00 47.98
9.99 + 3.12
+ 9.99 $51.10
47.98
X 0.065
$3.12
Which expression is equivalent to −14x+12?
−14(x+2)
14(−x+12)
14(−x+2)
−14(−x+12)
Step-by-step explanation:
[tex] = - 14x + 12[/tex]
[tex] = - 2 \times 7x + ( - 2) \times 6[/tex]
[tex] = - 2(7x - 6)[/tex]
No Option Solution.
a stadium with 80 rows has 20 seats in the first rows,30 in the second,and so on.how many total seats are in the stadium
can someone help me?
Answer:
21
Step-by-step explanation:
Pls help me with math ASAP
Answer:
y = 5/2x - 5
Step-by-step explanation:
y-int = -5
slope = 5/2
rise/run
alright my friend i've gotta go but i think you can solve these on your own.
just use the number that's on the Y vertical line to find y-int
and then use 2 points and count up to find the rise and then count across to fine thet run.
use the formula y=mx+b
good luck my friend <3
Answer:
Step-by-step explanation:
(0,-5) (4,5)
(5+5)/(4-0)= 10/4 = 5/2
y + 5 = 5/2(x - 0)
y + 5 = 5/2x - 0
y = 5/2x - 5
the area of a square plot is 1600m². the side of the plot is
Answer:
2800m2
12345667888888
Answer:
400m squared
Step-by-step explanation:
so a square has 4 EVEN sides.. 16 divide 4 is 4 just add the zeros..
Can anyone locate the coordinates for every letter in the graph?
Answer:
A = 2,3
B = -4,-1
C = 3,0
D = -5,4
E = 1,-6
F = 0,-4
What is the area of a parallelogram with a height of 8 feet and a base of 12.5 feet?
41 ft 2
96.5 ft 2
50 ft 2
100 ft 2
Answer:
Option D- 100 ft 2
Step-by-step explanation:
Area = h x b
= 12.5 x 8 = 100 ft 2
I hope im right!!!
Find the missing side lengths. Leave your answers as radicals in simplest form
30°
X
10V3
y
Answer:
x=20
y=10
Step-by-step explanation:
so as you can see this is a 30-60-90 triangle this means that y is opposite the 30 degree angle so it is 10 root three divided by root three so it is ten and x is 2y=20
3. An exponential expression is point
considered in its simplest form
when the following are met
EXCEPT one, which is it? *
O A. No parentheses appear.
B. No powers are raised to powers.
O c No positive exponents appear
.
O D. Each base occurs only once.
Answer: C Powers doesn't have to be negative for it to be simplified example 3^5 is simplified we don't need it to be (1/3)^(-5), its simply unnecessary.
Dillon studied 3 6/7 hours for his English test. He studied 5 3/14 hours for his math test. How much longer did he study for his math test? (Simplify the answer and write it as a mixed number.)
Answer:
[tex]1 \frac{5}{14}[/tex], [tex]\frac{19}{14}[/tex]
Step-by-step explanation:
How much longer did he study for his math test?
[tex]E=3\frac{6}{7}[/tex]
[tex]M=5\frac{3}{14}[/tex]
[tex]x=difference[/tex]
An equation for this would resemble this:
[tex]M- E=x[/tex]
Now before we get into any equation solving let's get the denominators equal to each other. we can do this by multiplying the numerator and denominator by 2. [tex]\frac{6(2)}{7(2)}=\frac{12}{14}[/tex]
Now we can solve the equation:
[tex]5\frac{3}{14} - 3\frac{12}{14} =\frac{19}{14}[/tex]
[tex]1 \frac{5}{14}[/tex], as a mixed number
plz mark me brainliest. :0
Help help this is 10 points
Answer:
The anwser you are looking for is number 2
Step-by-step explanation:
need help with this triangle problem
Its an acute triangle by angles.
Its a NONE by sides.
The mean diameter of the rim of Honda tires is 16 inches. Assume that the standard deviation of diameter of the rims is 0.3 inches. For quality control purposes, the diameter of the rims of 9 tires is measured every hour. The manager applies the rule that if the mean of diameter of a rim is greater or equal to 16.25, and lesser or equal to 15.75, the manufacturing should be stopped. If the diameter is between 15.75 and 16.25, the manufacturing process is not to be disturbed. a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches. b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches. c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Answer:
a. 0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.
b. 0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
c. 0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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.
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].
Assume that the standard deviation of diameter of the rims is 0.3 inches. Samples of 9.
This means that [tex]\sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1[/tex]
a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches.
Here we have [tex]\mu = 16[/tex]
Higher than 16.25:
This is 1 subtracted by the pvalue of Z when X = 16.25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16}{0.1}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Lower than 15.75:
This is the pvalue of Z when X = 15.75. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16}{0.1}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
Probability of stopping:
2*0.0062 = 0.0124
0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.
b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
Here we have [tex]\mu = 16.05[/tex]
Higher than 16.25:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16.05}{0.1}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
Lower than 15.75:
This is the pvalue of Z when X = 15.75. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16.05}{0.1}[/tex]
[tex]Z = -3[/tex]
[tex]Z = -3[/tex] has a pvalue of 0.0013
Probability of stopping:
0.0228 + 0.0013 = 0.0241
0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Between 16.25 and 15.75 with [tex]\mu = 16.25[/tex]. This is the pvalue of Z when X = 16.25 subtracted by the pvalue of Z when X = 15.75.
X = 16.25
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16.25}{0.1}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 15.75
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16.25}{0.1}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a pvalue of 0
0.5 - 0 = 0.5
0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
There are half as many pears as grapes. There are fifteen pears.
Answer:
30 grapes, because there are half as many meaning grapes have twice the amount of the pears present
i need help with this down below
Answer:
hi the answer is elven twelths or 11/12
Step-by-step explanation:
first you multiply 1/8 x 2/3 which is 1/12 +5/6= 11/ 12. because you cant simplify it anymore
hope this help
if right answer good review
Answer:
Top left: a is negative and p is positive
Step-by-step explanation:
The formula y = ax + p is referring to the formula y = mx + b where m is the slope and b is the y-intercept.
Since the line is going down, the slope is negative-- a is negative.
Since the line crosses the y-axis above the origin, the y-intercept is positive-- p is positive.
Answer:
a is negative and p is positive
Step-by-step explanation:
The equation y = ax + p is written in slope-intercept form, where a is the slope and p is the y-intercept.
When a slope is negative, the line goes down the further right it goes.
The line on the graph lowers as it moves right, which means that the slope(a) is negative.
The line intercepts the y-axis above the origin, which means that it must be positive.
Find the value of x in the following parallelogram: 3 5x - 6 3x-2 x = [?] Enter
Answer:
66
Step-by-step explanation:
Answer: x=2
Step-by-step explanation: