Answer:
10 units squared
Step-by-step explanation:
[tex]4(5)=20[/tex]
[tex]\frac{20}{2}=10[/tex]
Find x to the nearest tenth
Answer:
x=30.6
Step-by-step explanation:
Find the missing sides
Answer: x =1/2
y = [tex]\sqrt{3}[/tex]/2
Step-by-step explanation:
If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the concert was $421.5, how many of each went to the concert?
Answer: There are 69 adults and 72 children went to the concert.
Step-by-step explanation:
Let x be the number of adults, and y be the number of children.
x + y = 141
3.5x + 2.5y = 421.5
x + y =141
x = 141 - y
3.5(141 - y) + 2.5y = 421.5
493.5 - 3.5y + 2.5y = 421.5
493.5 - y = 421.5
-y = -72
y = 72
x + y = 141
x + 72 = 141
x = 69
Zhen borrows $1,200. She borrows the money for 2 years and owes $180 in simple
interest. What is the yearly simple interest rate on Zhen's loan? Show your work
Answer: 7.5
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation
I = 1200 × 0.075 × 2 = 180
I = $ 180.00
Find the point of intersection between the ray y = -5/12x when x < 0, and the unit circle.
A sample size 25 is picked up at random from a population which is normally
distributed with a mean of 100 and variance of 36. Calculate-
(a) P-{ X<99}
(b) P{98X
Answer:
a) P(X < 99) = 0.2033.
b) P(98 < X < 100) = 0.4525
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 z-score 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 p-value, 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].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 100 and variance of 36.
This means that [tex]\mu = 100, \sigma = \sqrt{36} = 6[/tex]
Sample of 25:
This means that [tex]n = 25, s = \frac{6}{\sqrt{25}} = 1.2[/tex]
(a) P(X<99)
This is the pvalue of Z when X = 99. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{99 - 100}{1.2}[/tex]
[tex]Z = -0.83[/tex]
[tex]Z = -0.83[/tex] has a pvalue of 0.2033. So
P(X < 99) = 0.2033.
b) P(98 < X < 100)
This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So
X = 100
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{100 - 100}{1.2}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 98
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{98 - 100}{1.2}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a pvalue of 0.0475
0.5 - 0.0475 = 0.4525
So
P(98 < X < 100) = 0.4525
Select all the problems that can be solved by finding 4 x 5.
A- Harold had 5 quarters. He used 4 quarters to buy a pen. How many quarters
does Harold have left?
B -Alice put 4 quarters in each of 5 stacks. How many quarters did Alice have?
C -Kim bought 4 notebooks for a total of $5. How much did each notebook cost?
D- Kurt bought 4 books for $5 each. How much did he pay for all of the books?
E- Jen made 5 necklaces. She put 4 beads on each necklace. How many beads
did she use in all?
F- Matthew scored 5 baskets in his first basketball game. He scored 4 baskets in
his next game. How many baskets did Matthew score in these two games?
Answer:
answers b, c, d, and e are all correct
Answer:
B, D and e
please mark me brainliest
what triangle is made up of these angles 50 degrees 110 degrees 20 degrees
Answer:
It's a scalene triangle
Step-by-step explanation:
There are different types of triangle
The equilateral triangle which has all sides and angle equal i.e 60 degrees each
The isosceles triangle which has two sides and two angle equal
The right angle triangle which has an angle of 90 degrees
Scalene triangle which all the sides and angle are of different sizes
Need answer asap, brainliest for correct answer
Answer:
C
Step-by-step explanation:
The rotation of 90 degree anti clockwise makes more sense as the reflection is across the x axis shows us a line of symmetry above after the rotation of 90 degree anticlockwise at x axis (0) so that the rectangle is reflected ito (-8,-3)) (-3,-3) (-8,-6) (-3,-6)
Proving that the rectangle is 5cm long and 3cm high after 90 degree rotation and reflection from y axis to the x axis position in the far left corner.
The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 24 m by 24 m. What will be the area of the playgrounds?
Answer:
Each playground will be 100 m2. Both playgrounds are 200 m2.
Area of square is defined by a × a.
a = length of side. In this case a is 10 m
So, Area = 10 m × 10m
Area = 100 m2 (square meters). This is the area of one playground.
Two playgrounds will be the double, 200 m2
Step-by-step explanation:
D. If the scale factor for the dilation of the figure is 0.9, then the dilation is an enlargement
Answer:
Option C.
Step-by-step explanation:
Suppose that we have a point (x, y)
If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:
(k*x, k*y)
If k > 1, we have an elargement.
if 0 < k < 1, we have the opposite case.
Now, suppose that one random vertex of the preimage is A (a, b)
Then after we do the dilation, the new coordinate of this vertex will be:
A' = (k*a, k*b) (this is, the original coordinates multiplied by the scale factor)
And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.
Then the correct option is C
first one how you do it and the second one is the problem
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
Answer:
10.77 is correct answer
use x1=-5 ,x2=5
y1=4 y2=8
Solve for x. Enter your answer in the box below as a fraction in lowest terms, using the slash (/) as the fraction bar.
6/9+x=7/10
In which number does the digit 777 have a value that is 101010 times as great as the digit 777 in the number 0.9750.9750, point, 975?
Answer:
0.73
Step-by-step explanation:I use khan too 0.7 is 10 times as great as 0.07
The area of a rectangle is 192 cm. The length of the rectangle is 16 cm. What is the width?
192 = 16w -(solve for w)
Area =L×W
192=16W
192/16 =W
W=12cm
help, can you tell if im right?
Answer:
Yes, all of your answers are 100% correct
Step-by-step explanation:
You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.
(12x - 3)* 105*. What is the value
of x in the figure
at the right?
A billard ball has a surface area of 84 square centimeters. What is the radius of the ball?
Answer: √21/√pi
Step-by-step explanation: Surface area of ball is 4(pi)r^2. Divide 84 by 4 and get 21. Dividing 21 by pi and taking the square root therefore is the answer.
Help ASAP!!! Please show all work!!!!!!!
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
[tex]\sqrt{x+7} -1=x\\[/tex]
Answer:
x = 2 and x = -3
Step-by-step explanation:
We need to find the value of x in the below expression.
[tex]\sqrt{x+7} -1=x[/tex]
Adding 1 to both sides,
[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]
Squaring both sides,
[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]
Hence, this is the required solution.
[tex]\bf\huge x=2 [/tex]
Step-by-step explanation:
Given that :[tex]\sqrt{x+7} -1=x\\[/tex]to find :[tex]\sqrt{x+7} -1=x\\[/tex]explanation :⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √x + 7 = x + 1
⟼ x + 7 = x² + 2x + 1
⟼ x + 7 - x² - 2x - 1 = 0
⟼ -x + 6 -x² = 0
⟼ x² + x - 6 = 0
⟼ (x-2) (x+3) = 0
⟼ x = 2 and x = -3
When x = -3 the original equation √x+7-1 = x does not hold true. We will drop x = -3 from the solution set.Therefore,
⟼ x = 2.
verification :⟼ let take x = 2
⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √2+7 - 1 = 2
⟼ √9 - 1 = 2
⟼ 3 - 1 = 2
⟼ 2 = 2
hence verified ☑️daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%
Answer:
C gives you 90.2
Step-by-step explanation:
84+88+90+100=362
362/4=90.2
0.00000405 in scientific notation
Answer: 4.5 x 10^-6
Answer:
4.05*10^-6
Step-by-step explanation:
To do this by hand, you need to understand the rules of scientific notation.
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
[tex]f(x) = \tan{Bx}[/tex]
The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
A similar problem is given at https://brainly.com/question/16828446
Answer:
got it right
Step-by-step explanation:
Please help! *no links* GIVING BRAINIEST
Answer:
6) D
7) B
8) J
9) A
10) A
11) L
12) I
Step-by-step explanation:
Hope this helped :)
can someone please help me , i’ll give you brainliest
Answer:
Option D vertical angles is your answer ☺️☺️
Answer:
Vertical angles
Step-by-step explanation:
∠WTU and ∠STZ are opposite each other; hence they are vertical angles.
the product of two rational numbers is -12 if one of the number is -8 find the other
Answer:
The other number is [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The product of two rational numbers, x and -8, is -12. This means that:
[tex]-8x = -12[/tex]
The other number is x, which we find solving the equation. So
[tex]8x = 12[/tex]
[tex]x = \frac{12}{8} = \frac{4}{3}[/tex]
The other number is [tex]\frac{4}{3}[/tex]
What is the value of this expression when a= -3 and b=5? a + b^2*
Answer:
22
Step-by-step explanation:
a+b^2
= -3+(5^2)
= -3+25
=22
If g(0) = -2, which representation could show function g?
A.
g(x) = 0
B.
C.
х
-3
0
6
-4
ол
23
g(x)
у.
D.
+ + +
Answer:
The answer is in the explanation
Step-by-step explanation:
This question didn't provide much information to begin with. But since I got the same question as well, I'll help.
First off, we're given g(0) = -2.
Looking from the choices we're given, we're most likely going to have to choose an answer that makes most sense.
'g(x) = 0' doesn't make sense with this function because in 'g(0) = -2' we can see the our y-intercept is -2, not 0.
Another answer we're given is a table. Looking at the data, it doesn't match with the equation we're given.
Another answer choice we're given are multiple points that form a linear function. The points on the graph, however, don't match with 'g(0) = -2. Considering this is graph is showing a linear line, the point that would go with the function 'g(0) = -2 is (-2,0). In this answer choice, we don't see a point at either options.
This leaves us with the graph that displays a exponential line. We can however, see that there's a point that does match with this equation. That point is (0,-2). Considering this graph is showing an exponential line, one of the points for our function 'g(0) = -2' would be (0,-2).
- 2021 Edmentum
What is the square unit of 6 by 9 square unit what is the area?
Answer:
54 unit ^2
Step-by-step explanation:
Well a formula for a rectangle is a=lw
So 6*9=54
The area is 54
5th grade math. correct answer will be marked brainliest