Answer:
[tex]\sf z = -16.35[/tex]
formula:
[tex]\sf z = \dfrac{s-p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]
Here s = 0.3, p = 0.5, n = 1671
solve:
[tex]\rightarrow \sf z = \dfrac{0.30-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1671} } }[/tex]
[tex]\rightarrow \sf z = \dfrac{-0.2}{\sqrt{\dfrac{0.25}{1671} } }[/tex]
[tex]\rightarrow \sf z = -16.35[/tex]
I will give brainilest!!!
Answer:
Step-by-step explanation:
By the vertical angle theorem which states that angle opposite to each other is equal, we know the whole angle opposite to the angle that is 90 degrees (since it has a little square on the angle) is also ninety degrees.
However, that angle is split into two more angles one that is 22 degrees and the other being x degrees. Yet both of them added up equal to 90 degrees.
Thus we get the equation:
x + 22 = 90
x = 68 degrees
Hope that helps!
Answer:
68°
Step-by-step explanation:
Each sides is 90°
therefore, 22° - 99°
= 68°
translate the sentence into a equation
“The sum of 5 times a number and 8 is 9.”
Answer:
Hello lovely person! Welcome to Brainly! <3
Your answer will be 5x + 8 = 9
Step-by-step explanation:
We know that the word sum indicates addition, and this applies to the number 5. So we know that we will be adding 5 somewhere in this equation.We are also given the phrase "times a number." Times means multiply. When we are given an unknown variable ("a number") we use a letter to represent it, such as X.Now we know that the word "is" means equals, so that is where we put the = sign. Since it says "is 9" we know that it means "= 9"So we can put all of this information together to create our equation.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000? –5 –3. 5 –1. 5 1. 5.
The Z-score of an employee making an annual salary of $28000 is -1.5.
It is given that,
Mean μ = $34000
Standard deviation σ = $4000
Salary x = $28000
What is a z-score?Z-score is a numerical measurement that describes a value's relationship to the mean of values.
Formula to calculate z-score = (x - μ)/σ
So, z-score = (28000-34000)/4000z = -1.5
Therefore, the z-score of an employee making an annual salary of $28000 is -1.5.
To get more about z-score, refer to the link:
https://brainly.com/question/25638875
8. What is the surface area of the given figure?
28 cm
36 cm
10 cm
26 cm
Not drawn to scale
Answer:
C. 336 cm²
Step-by-step explanation:
Area formulas:
Area of a right triangle: a × b ÷ 2
Area of rectangle: length × width
-----------------------------------------------------------------------------------------------------------------
In this figure, there is a rectangle with a width of 12 and a height of 6.
; the area of the rectangle is 72 cm².
There are two right triangles with legs of 6 and 8.
There are two right triangles so..
The area of a single triangle is 24 cm²; the area of the triangles combined is 48 cm.
There is a rectangle in the middle with a width of 8 and a height of 12.
The area of the rectangle is 96 cm².
Lastly, there is a rectangle with a width of 10 and a height of 12.
The area of the rectangle is 120 cm².
Now, add the areas of every shape to find your answer.
Step-by-step explanation:
What is the value of X in a triangle
Answer:
It should be 71
Step-by-step explanation:
every triangles equals to 180
so 180 - 38 - 71 = 71
40 points help please A right cylinder has a radius of 7 cm and a height of 3 cm.
SHOW YOUR WORK
(a) Find the Surface Area of the cylinder.
(b) Find the Volume of the cylinder.
(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?
1. Doubling the radius to 14 cm, while the height remains 3 cm.
or
2. Tripling the height to 9 cm, while the radius remains 7 cm.
Step-by-step explanation:
(a) use surface area formula of cylinder that is for Lateral surface area and for total surface area
LSA= 2πrh
TSA= 2πr(h+r)
(b) volume of cylinder= πr^2h
..........
Marques is a waiter at a restaurant. Each day he works, Marques will make a guaranteed wage of $25, however the additional amount that Marques earns from tips depends on the number of tables he waits on that day. From past experience, Marques noticed that he will get about $14 in tips for each table he waits on. How much would Marques expect to earn in a day on which he waits on 17 tables? How much would Marques expect to make in a day when waiting on tt tables?
The amount he will get on that day = the guaranteed wage + the amount of table he waits x 14
So, Marques expect to make 25 + 14 x 17 = 25 + 238 = $263
17. Ten students from Cordell Middle School competed in a math competition at SWOSU in Weatherford. The scores obtained by them were recorded as follows:
11, 6, 7, 13, 1, 13, 16, 7, 13, 16
What was the mean, median, and mode of their scores? Round to the nearest tenth. _________________________________________________________________
18. The Cordell Math Coach places an ad in the paper. Which measure of central tendency should she use when writing the article? Defend your answer. _________________________________________________________________
19. Jimmy had an average of 88 on his weekly mathematics tests for the first 5 weeks. What would he need to make in the 6 thweek to have an average of 90? ________________________
20. The first seven runners on the Ardmore Tiger cross country team had an average time of 14.6 minutes. To make the state meet they need an average of 13.8, what time must the last runner have for the team to qualify? ________________________
I WILL GIVE BRAINIEST!
Write a word problem with the numbers: 70, 100, and 850.
Answer:
70x-100=850
Step-by-step explanation:
70x-100=850
We move all terms to the left:
70x-100-(850)=0
We add all the numbers together, and all the variables
70x-950=0
We move all terms containing x to the left, all other terms to the right
70x=950
x=950/70
x=13+4/7
If a mason can make 12 hollow blocks in 3 h, how many hollow blocks can he make in 10 h?
Answer:
40 hollow blocks
Step-by-step explanation:
12/3= 4 hollow blocks per hour
10x4=40 hollow blocks in 10 hours
A rectangular lot is 75 yards wide and 120 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area.
Answer:
119 yds and 76 yds
Step-by-step explanation:
area of 1st rect = 9000 yd^2
perimeter = 2(75+120)= 2*195=390
perimeter of 2nd rectangle = 390
l+b = 390/2= 195
the minimum l of 2nd rectangle = 119
min b of 2nd rectangle = 76
119*76 =9044
Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.
Answer:
y = 3/2x - 8 hope I helped
Step-by-step explanation:
To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).
2y = 3x + 10 --> almost there already, just divide everything by 2 to get y by itself.
y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2
They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.
Now we know that our slope is m = 3/2 and our point is (2, -5)
You can always find the equation of a line using the Point-Slope Formula:
y - y1 = m(x - x1) --> our x1 is 2 and our y1 is -5, and slope is 3/2
y - (-5) = 3/2(x - 2) --> Be careful when you have minus a negative number, like we do here. It becomes:
y + 5 = 3/2(x - 2) --> now distribute the 3/2
y + 5 = 3/2x - 6/2
y + 5 = 3/2x - 3 --> now we can subtract 5 from both sides to get it into slope intercept form.
y = 3/2x - 8 --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)
Rhea sold 6 boxes of blueberry muffins and 8 boxes of corn muffins at the bake sale. Each box contained 18 muffins. The muffins cost $0.50 each. What is the total amount raised by the sale of the muffins?
Also if you can (you don't have to), would you mind including an estimate?
A person invests 8000 dollars in a bank. The bank pays 6.5% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10500 dollars?
Answer: It
should be about 1.5 years
Step-by-step explanation:
1.143 years must the person leave the money in the bank until it reaches 10500 dollars.
What is Interest?Interest, in its most simple form, is calculated as a percent of the principal.
For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.
We have,
Interest amount= $8000
R= 6.5%
Time= t
Total amount= $10, 500
So, A = P(1 + r/n[tex])^{nt[/tex]
10,500 = 8000 (1+ 0.065/4[tex])^{4t[/tex]
1.3125 = (1.01625[tex])^{4t[/tex]
Taking log both side
log (1.3125) = 4t log(1.06125)
4t = 4.574
t= 1.143 years
Learn more about Interest here:
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y=5x-9
y=5x+9
solve with substitution
Answer:
No solution
Step-by-step explanation:
y=5x-9
y=5x+9
5x + 9 = 5x - 9
- 9 - 9
5x = 5x - 18
- 5x - 5x
0 = 18
No solution
Hope this helps!
Adam earns $36 for every four hours of work. If he continues to be paid at the same rate. How long will it take him to earn $225??
Answer:
It will take him 6.25 hours to earn $225
Step-by-step explanation:
225 ÷ 36 = 6.25
6.25 = 6 1/4
You are dividing the total amount of money needed to be earned ($225) by the amount of money he gets paid every hour ($36) to get the number of hours it will take him to earn the amount of money he wants to earn.
Hope this helps!
Answer:
25 hours / 1 day and 1 hour
Step-by-step explanation:
Rm36 ÷ 4 hours = 1 hour Rm9
Rm225 ÷ 9 hours = 25 hours
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Find the indicated probability. A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?.
Answer: 2/3
Step-by-step explanation:
The numbers which are either a multple of a 3 or an even number (or both) are: 2, 3, 4, 6, 8, 9, 10, 12, 14, 15
There are 10 numbers in total which satisfy the conditions.
There are 15 total possiblities which could occur.
Therefore, the probablity is 10/15 which can be reduced to 2/3
I nee help. Can anyone help please.
∠1+∠7=180°
7x+8+10x+2=180
17x+10=180
17x=170
x = 10
3x^2-12x factorise in the form (x+b)(x-b)
Answer:
[tex]3x(x-4)[/tex]
Step-by-step explanation:
[tex]3x^2-12x[/tex] cannot be factorised in the form (x+b)(x-b) unless one of the b's is zero, so I wonder if the expression is incomplete?
To factorise [tex]3x^2-12x[/tex], take out the common factor [tex]3x[/tex]:
[tex]\implies3x(x-4)[/tex]
Therefore, x = 0 and x = 4
- - - - - - - - -
[tex]3x^2-12x[/tex] factorised in the form (x+b)(x-b) would be [tex](3x+0)(x-4)[/tex]
but it is not usual to have a zero in a factorised form.
A jar has sweets which are either yellow or pink. For every five yellow sweets, there are six pink ones. There are 20 yellow sweets in the jar
Answer:
24
Step-by-step explanation:
Here is how you do this
If there is 20 yellow sweets, and for every 5 yellow you have 6 pink you need to divide 20/5 (4)
then you would do 6*4 which would be 24
Answer:
24
Step-by-step explanation:
There are 5 yellow candies for every 6 candies.
5x4 is 20, and we know there are 20 yellow candys (The 5 in the multiplication problem being the 5 yellow candies for every 6 candies.).
So, then I multiplied 6x4 to get 24. This may not always work but it is a (I believe) a proportional relationship.
7. How many different 7-letter combinations can be
formed from the word GEOMETRY if repetitions are
not permitted?
A4 ore
Explanation:
There are 8 letters in the word "GEOMETRY".
Use the nPr permutation formula with n = 8 and r = 7 and you'll find that 8P7 = 40320.
Or you can compute it like this 8*7*6*5*4*3*2 = 40320
This would be the answer if we could tell the E's apart.
However, we cannot tell the E's apart, so we have to divide by 2 to correct for the double-counting.
There are 40320/2 = 20160 different seven letter combinations possible.
A plumber charges $25 for a service call plus $50 per hour of service. A. Write an equation in slope-intercept form for the cost, C, after h hours of service. B. What will be the total cost for 7 hours of work? C.If the total cost was $475, how many hours did he work?
Answer:
ad 25
Step-by-step explanation:
then your get together
What is a correct name for the angle shown?
Answer:
S
Step-by-step explanation:
the angle itself is s therefore the correct answer is angle s, otherwise it would be rst going left to right, but that is not an option.
Answer:
<s
Step-by-step explanation:
the angle itself is switch means the correct answer is angle s also i took the test
Problem 3: Housing
A house that originally was worth $150,000, has grown in value at a rate of 3% per year for the
last 10 years. To the nearest dollar, how much is it worth now?
Answer:
the house is worth 201587 after 10 years.
Step-by-step explanation:
after the first year, the value is 154500.
after the second, 159135.
after the third, 163909.
after the fourth, 168826.
after the fifth, 173891.
after the sixth, 179108.
after the seventh, 184481.
after the eighth, 190015
after the ninth, 195716.
after the tenth, 201587.
Assume that y varies directly with
x, then solve.
If y=4 when x=12, find y when x=-24.
y = [ ? ]
Answer:
y = 8
Step-by-step explanation:
12 x 2 is 24, so I'm assuming y is also times 2. 4 x 2 is 8
Answer:
8
Step-by-step explanation:
4:12
y:24
4:12=y:24
4/12=y/24
24x4/12
96/12
8
The numerator of a fraction is four less than the denominator. If 17 is added to each.
Answer:
x + 13 / x + 17
Step-by-step explanation:
x - 4 / x
x + 13 / x + 17
find the volume of the two cubes
Answer:
v=lxbxh
v=5x5x5
v=125cm
volume b
v=lxbxh
v=5x5x5
v=125cm
volume A+volume B
125+125=150
Step-by-step explanation:
you find the first one first then you find the second one then you add
Answer:
First cube
[tex] = {125}^{3} [/tex]
second cube
[tex] = {125}^{3} [/tex]
125 +125=250
Step-by-step explanation:
The formulas to find the volume of a cube are:
V = s3, where s is the edge length of the cube.
[tex]v = 5 \times 5 \times 5 = {125}^{3} [/tex]
You roll a number cube twice. What is the probability of rolling a 5 first and then rolling an even number?
1/4
1/3
1/12
1/36
Can some pls answer!!
Answer:
1/12
Step-by-step explanation:
probability of rolling a 5 is 1/6
probability of rolling an even number is 3/6 that simplified is 1/2
-Multiply 1/6 by 1/2 and you get 1/12
Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?
Answer:
Gary has $595 after shopping.
Step-by-step explanation:
350 – 95 = 255
3 units = 255
1 unit = 255 ÷ 3 = 85
7 units = 85 × 7 = 595
Can someone please help me with this?? I need help asap!
Express this equation in logarithmic form.
2^3 = 8
Express this equation in logarithmic form.
6^3 = 216
Express this equation in logarithmic form.
4^0.5 = 2
Express this equation in logarithmic form.
b^x = N
Express this equation in logarithmic form.
y = 10^x
Answer:
Learn how to solve any exponential equation of the form a⋅b^(cx)=d. For example, solve 6⋅10^(2x)=48.
Step-by-step explanation:
Answer:
[tex]b^x = y[/tex], then [tex]log_{b}y[/tex] = x
Step-by-step explanation:
easy
