Answer:
Step-by-step explanation:
let a number be x
60/100*x=36
60x=36*100
x=3600/60
x=60
50/100*60
3000/100
30
therefore 50 percent of the same number is 30.
The supplement of an angle is 12 less than 3 times the angle. Find the angle and its supplement
Answer:
[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]
Step-by-step explanation:
Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:
For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].
[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]
Now solving for the supplement:
[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]
Graph x=2.5 will do anything
Okay, so you're going to go along the line that goes side to side, and then find positive 2. It'll be on the right side. From there, go half way in and insert a line going up and down.
Bam! You've got yourself x= 2.5 graphed!
Answer:
O ma god. dat many tabs open!!!! xD
Step-by-step explanation:
It's on da graph
What is the ratio of 4 and 120
Answer:
1 : 30 or
[tex] \frac{1}{30} [/tex]
................................................
Answer:
1: 30
Step-by-step explanation:
evaluate : (-2)^5 × (-2)^-8 ( do as director )
Which equations can be used to determine the area of the irregular figure?
Answer:
the first option put I'm not 100% sure so if I get it wrong I apologize
The sixth graders at Wood Creek Middle School are selling bags of popcorn and candy bars for a fundraiser. The ratio of the total amount of popcorn sold to the total amount of all snacks sold is 4:9.
Select the statement that is correct about snacks sold.
1.The ratio of popcorn sold to candy bars sold is 4:13.
2.The ratio of total snacks sold to popcorn sold is 9:4.
3.The ratio of candy bars sold to total snacks sold is 9:5.
4.There are 4 bags of popcorn sold for every 9 candy bars sold.
Answer:
the ratio of total snacks sold to popcorn is 9:4
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
A.
28 feet
B.
-52 feet
C.
-28 feet
D.
52 feet
Answer:
The answer is D.
Step-by-step explanation:
It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.
In the triangle below, find the measurements of the unknown angles. a 75 • A. 75 1059 B. 40°. 80° O c. 50, 10° O D. 25°, 50 O E 35°. 70
answer:
explanation:
hope it helps!
Write the equation of the line with the given slope and y-intercept.
slope - 5
y-intercept - 8
A)
y = 5x+8
B
x - 5y + 8
y- 8x-5
D
Xo Bys
Answer:
y = 5x+8
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
We know the slope is 5 and the y intercept is 8
y = 5x+8
help me pls! PLS PLS PLS I NEED IT
20 points
options are x, x^9, x^4, and x^6
Answer:
x^4
Step-by-step explanation:
The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4
An experiment to improve eyesight with a new drug involves 100 subjects. 50 subjects are randomly chosen to receive the treatment and the other 50 subjects receive a placebo. There was very little difference between the success rate of the treatment group and the placebo group. The success of the placebo group may be due to Group of answer choices
Answer: Hello your question lacks the required options but I will provide a more general answer
answer : Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group
Step-by-step explanation:
The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.
Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group
Find the value of x.
9514 1404 393
Answer:
x = 136
Step-by-step explanation:
The angle marked x° is half the sum of the intercepted arcs:
x° = (130° +142°)/2 = 272°/2
x = 136
A student performed the following steps to find the solution to the equation
x2 + 4x-12-0. Where did the student go wrong?
Answer:
Step 2
Step-by-step explanation:
Step 2 because in step 1, they correctly wrote the factors of the polynomial as (x+6) and (x-2). But then in step 2, (x+6) suddenly became (x-6) and (x-2) became (x+2), which is incorrect.
The answers in step 3 should have been -6 and 2.
help llllllllllllllllllllll
Answer:
D
Step-by-step explanation: 5 16 4 17
Original price of a book 18.50 discount 45%
Answer:
18.5-45%=10.175 Hope this helped! :)
joe mama is obama
Step-by-step explanation:
Find the volume of a rectangular prism
with a width of 9 cm, a length of 11 cm,
and a height of 8 cm.
X
If the edges of a rectangular prism are increased by a scale factor of 3, how will the volume change
O A. The new volume is 3 times the old volume,
B. The new volume is 9 more than the old volume.
O C. The new volume is 9 times the old volume,
D. The new volume is 27 more than the old volume,
O E. The new volume is 27 times the old volume,
Answer:
E. The new volume is 27 times the old volume.
Step-by-step explanation:
A rectangular prism has dimensions width w, height h and length l. It's volume is given by:
[tex]V = wdl[/tex]
Edges of a rectangular prism are increased by a scale factor of 3
Each dimensions is multiplied by 3, and the volume is:
[tex]V_m = 3w(3d)(3l) = 3*3*3wdl = 27wdl[/tex]
How will the volume change?
[tex]\frac{V_m}{V} = \frac{27wdl}{wdl} = 27[/tex]
Thus, the volume is multiplied by 27, that is, it is 27 times the old volume, and the correct answer is given by option E.
x + 5 ≤ 13 what's the answer for this question?
Answer:
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
Step-by-step explanation:
x + 5 ≤ 13
Subtract 5 on both sides...
13 - 5 = 8
You're left with x ≤ 8
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
2612 ÷13 = ? A. 202 r11 B. 200 r12 O O D. 199111 C. 200 r13
Which expression does the number line represent?
O 3+ 3/4. O 3/4 + 9/4 O 3 + 9/4 O 9/4 + 3/4
Solving Inequalities Using Addition or Sub
Solve x - 4 < 5. Graph the solution
The solution is
Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Answer:
A.) Independent
B.) Independent
C.) Dependent
D.) Independent
E.) Dependent
F.) Independent
Step-by-step explanation:
To find - Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Proof -
We know that,
Independent events are the events that does not depend on the previous events.
Also,
If A and B are two independent events, then
P(A and B) = P(A) * P(B)
Now,
A.)
Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
Here,
Event 1 - Draw a 2 of clubs from a standard deck of 52 cards
Event 2 - keep it, then draw a 2 of diamonds.
These Events are independent
Because
Event 1 is about picking a card that is club
Event 2 is about picking a card that is diamond
And Diamond and spades are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
B.)
Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
Event 1 is about picking a card that is spade
Event 2 is about replacing the card to heart.
These Events are independent
Because
And spade and heart are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
C.)
Roll a number cube. Then roll again if the first roll is a 6.
Event 1 is Roll a number cube.
Event 2 is Roll again if the first roll is 6.
These Events are Dependent
Because
Event 2 is dependent on Event 1.
If Event 1 given no 6 then Event 2 would not happen
If Event 1 given 6 then Event 2 would happen.
So, They are related to each other
So,
Both the Events are Dependent.
D.)
Roll a 2 on a number cube and spin a 3 on a spinner.
Event 1 is Roll a 2 on a number cube
Event 2 is spin a 3 on a spinner
These Events are independent
Because
Cube and spinner are two different objects.
So, they are not related to each other.
So,
Both the Events are Independent.
E.)
Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
These Events are Dependent
Because
P(A and B) = P(A)*P(B)
⇒0.8 = 0.4*0.2
⇒0.8 = 0.08
But they are not equal
So, they are not independent Events.
F.)
Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
These Events are independent
Because
P(A and B) = P(A)*P(B)
⇒0.05 = 0.1*0.5
⇒0.05 = 0.05
They are not equal
So, they are independent Events.
A number added to five equal to negative eleven find the number
Answer:-16
Step-by-step explanation: -16 + 5 = -11
Type SSS SAS ASA AAS or HL to justify why the two larger triangles are congruent
Answer:
HL
Step-by-step explanation:
We know the following:
The hypotenuse, DB, of ∆BAD is congruent to the hypotenuse, CA, of ∆CBA.
Also, a leg, AB in ∆BAD is congruent to a leg, AB in ∆CBA.
This shows that the hypotenuse and a leg of ∆CBA is congruent to the hypotenuse and the corresponding leg of ∆BAD. Based on the Hypotenuse-Leg Theorem, both triangles are congruent.
Can someone tell e where to plot this? (PLEASE NO FILE ANSWER). !!!
Step-by-step explanation:
x<5
This means that we want to graph all the numbers less than 5, but not 5 itself. So the circle is selected onto the 5 mark, we make it open, and we make the graph go to the left of the circle.
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)
Which numerical expression represents the following calculation?
Add the quotient of 35 and 5 to the product of 2 and 6.
Answer:
19
Step-by-step explanation:
Given the expression:
Add the quotient of 35 and 5 to the product of 2 and 6.
Quotient of 35 and 5 :
35 / 5 = 7
Product of 2 and 6 :
(2 * 6). = 12
Adding the result of the both calculations :
7 + 12 = 19
Writing the expression together :
35/5 + (2 * 6)
7 + 12
Parker just started a running plan where he runs 7 miles the first week and then
increases the number of miles he runs by 10% each week. If he keeps up this plan for
15 weeks, how many total miles would Parker have run, to the nearest whole
number?
Answer:
Parker would have run 29 miles in the 15th week.
Step-by-step explanation:
Since Parker just started a running plan where he runs 7 miles the first week and then increases the number of miles he runs by 10% each week, to determine, if he keeps up this plan for 15 weeks, how many total miles would Parker have run, to the nearest whole number, the following calculation should be performed:
7 x 1.1 ^ 15 = X
7 x 4.1772 = X
29.24 = X
Therefore, Parker would have run 29 miles in the 15th week.
Evaluate sin^2 θ for θ = 45°
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value , then
sin²45° = [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex]
24/10 into hundredths
Answer:
240/100
Step-by-step explanation:
just multiply 24 by 10 to get hundredths
Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two populations: Sample 1 Sample 2 n1 = 81 n2 = 64 Sample average = 110 Sample average = 108 Population standard deviation = 7.2 Population standard deviation = 6.3 What is the value of the test statistic.
Answer:
The value of the test statistic is [tex]z = 1.78[/tex]
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes 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.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Sample 1:
[tex]\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8[/tex]
Sample 2:
[tex]\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Distribution of the difference:
[tex]X = \mu_1 - \mu_2 = 110 - 108 = 2[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226[/tex]
What is the value of the test statistic?
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{2 - 0}{1.1226}[/tex]
[tex]z = 1.78[/tex]
The value of the test statistic is [tex]z = 1.78[/tex]