Answer:
x = 0
Step-by-step explanation:
2^x = 1
The only way a number can equal one when there's an exponent is when the exponent is 0
x = 0
2^0 = 1
Gavin, Colin and Dan share some sweets in the ratio 4:5:3. Gavin gets 20 sweets. How many sweets are there altogether?
9514 1404 393
Answer:
60
Step-by-step explanation:
Gavin has 20/4 = 5 times as many sweets as his corresponding number of ratio units. The total number of ratio units is 4+5+3 = 12, so the total number of sweets is 5×12 = 60.
There are 60 sweets altogether.
_____
They are divided as ...
Gavin: 20Colin: 25Dan: 15ZA and ZB are vertical angles. If mZA = (3.C – 9)° and m B = (x+3)°, then find the value of x.
Answer:
x = 6
Step-by-step explanation:
Vertical angles in a geometry are equal. Hence m<A = m<B
Given that
m<A = 3x - 9
m<B - x+3
Then 3x - 9 = x+3
3x - x = 3 + 9
2x = 12
Divide both sides by 2
2x/12 = 12/2
x = 6
Hence the value of x is 6
How can I find f?
Please help if you can!
Answer:
63°
Step-by-step explanation:
i=62° f+i=125° 125-62=63
Find the area of the complex figure.
Answer:
1,863
Step-by-step explanation:
Which expression gives the distance between the points (5, 1) and (9,-6)?
O A. 5-9)2 + (1 - 6)?
O B. V5-9)2 + (1+6)2
O C. (5-9)? +(1+6)2
O D. (5-9)2 + (1 - 6)2
SUBMIT
Answer:
B
Step-by-step explanation:
Please help before 7 min
Answer:
The Value of x = 23.1 unit
Step-by-step explanation:
Given:
Parallel line intersect
Find:
The value of "X"
Computation:
We know that given lines are parallels
So, by using Ratio theorem we can find the value of "x"
Ratio theorem of parallel lines say
AB / BC = AD / DE
So,
14 / 20 = x / 33
x = [14 x 33] / 20
The Value of x = 23.1 unit
Key
X
= -X
= 1 = -1
Which equation could represent the model?
Answer:
hey here the link it.ly/3dXyuz8
Need help please help me
Answer:
9-8 = 1 and 7 times 2 = 14
Step-by-step explanation:
Please help asap!!!!
Answer:
[tex] m\widehat {MP} =46\degree [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]
[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]
[tex] 23\degree \times 2= m\widehat {MP} [/tex]
[tex] m\widehat {MP} =46\degree [/tex]
State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to state the hypotheses.
(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 75. This year 17students who took second-year calculus passed the placement test.
H0:μ>75;Ha:μ=75
H0:μ<75;Ha:μ=75
H0:μ=17;Ha:μ>17
H0:μ=17;Ha:μ≠17
(b) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 24 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 17 mice takes with the rap music as a stimulus.
H0:μ=24sec;Ha:μ>24sec
H0:μ=24sec;Ha:μ≠24sec
H0:μ>17sec;Ha:μ=17sec
H0:μ=17sec;Ha:μ<17sec
H0:μ=24sec;Ha:μ<24sec
(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet. A student group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion.
H0:μ=850ft2;Ha:μμ850ft2
H0:μ>850ft2;Ha:μ=850ft2
H0:μ=850ft2;Ha:μ>850ft2
H0:μ=850ft2;Ha:μ<850ft2
H0:μ<850ft2;Ha:μ=850ft2
Answer: (A)
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B)
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C)
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
Step-by-step explanation:
Null hypothesis [tex](H_0)[/tex]: It is a statement showing population parameters as per the objective of the study. It generally takes "≤,≥,=" signs. Alternative hypothesis [tex](H_a)[/tex]: It is also a statement describing population parameters as per the objective of the study. It generally takes ">, <, ≠" signs.(A) Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B) Objective: The mean time is 24 seconds or more for one particular maze.
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
Find the area of these figures
Answer:
I think the answer for the first one would be 32^2 meters for 4m × 4m and 13m. The 6m and 8m would be 48^2 meters. The second one would be 5in × 5in would be 25in and 2in × 4in would be 8in. The third one would be 6ft × 6ft × 6ft would be 48ft.
Step-by-step explanation:
To find area, you have to multiply the sides of each figure.
A = a^2 = 4m × 4m × 13m = 32.A = a^2 = 6m × 8m = 48.5 × 5 = 25.2 × 4 = 8.6 × 6 = 36 + 12 = 48.I hope this helps your question!
Help me with this problem please
Answer:
[tex](a)\ A_1 = s^2[/tex]
[tex](b)\ A_2 = 4s^2[/tex]
(c) 4 small squares
Step-by-step explanation:
Given
Small Square:
[tex]Dimension: s[/tex]
Large Square:
[tex]Dimension: 2s[/tex] i.e. twice as long as the small square
Solving (a): The area of the small square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_1 = s^2[/tex]
Solving (b): The area of the large square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_2 = (2s)^2[/tex]
[tex]A_2 = 4s^2[/tex]
Solving (c): Number of small square to cover the large square
To do this, we simply divide their areas.
Let n represents the required number; n is calculated as:
[tex]n = \frac{A_2}{A_1}[/tex]
[tex]n = \frac{4s^2}{s^2}[/tex]
[tex]n = 4[/tex]
Hence, 4 small squares is required to cover the large square
Find the area 5 3/4 x 9 3/4
Answer:
56.0625
Step-by-step explanation:
5 3/4x 9 3/4=56.0625
Answer:
Area = 7 km x 5 km = 35 km2 ... by either an addition, subtraction, or some other combination of operations to find the required area. ... ½ x base x height ½ x 9 x 4 = 18. Area of rectangle part: width x height 9 x 6 = 54.
Step-by-step explanation:
A small pond contains 8 catfish and two bluegill. If eight fish are caught at random what is the probability that all of them are catfish
ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE
Answer: the correct answer should be 160 but you said that didnt work so try 480
Step-by-step explanation:
I just did base times Hight 8*10 which is 80*6=480
hoped this helps:))
Answer:
80
Step-by-step explanation:
V= Bh/3
Area of base= (L × W) ÷2
(8×6)÷2 = 24
Multiply by height
24×10=240
Divide by 3 (since its a pyramid therefore has 3 sides)
240/3=80
80 is your answer
8. What is the lateral area of the cone to the nearest whole number? (1 point)
A.380 yd2
B.726 yd2
C.1,106 yd2
D.2,267 yd2
9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.
What is the volume of the fish tank if the base is 4 feet, the width is 2 feet, and
the height is 3 feet? Be sure to label your units.
Answer:
24 ft³
Step-by-step explanation:
The volume formula for a rectangular prism is ...
V = LWH
V = (4 ft)(2 ft)(3 ft) = 24 ft³
The volume of the fish tank is 24 cubic feet.
$16,000 is invested for 3 years with an APR of 3% and daily compounding. The balance in the account after 3 years is
Answer:
$17,440
Step-by-step explanation:
the interest every year
=$16,000×3%
=$16,000×3/100
=$480
the balance after 3 years
=$16,000+3($480)
=$16,000+$1,440
=$17,440
3
Select the correct answer from each drop-down menu.
A cross section is the intersection of a
✓ and a
Answer: three dimensional figure and plane.
Step-by-step explanation:
A cross section is the intersection between a (three dimensional figure) and also a (plane).
When an object is being cut straight, the shape that we get is referred to as the cross section. We should note that several parallel cross sections will be firmed when we cut a particular object into slices.
Find the measurement indicated in each parallelogram.
1)
с
40°
D
E
Answer:
D=40
C=140
E=140
Step-by-step explanation:
opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.
Question 8 of 10 What is the median of this data set? 14, 18, 31, 34, 44, 50 AL32.5 O B. 33 C. 31.5 D. 31
Answer:
a
Step-by-step explanation:
At a high school with over 500 students, a counselor wants to estimate the mean number of hours per week that students at the school spend in community service activities. The counselor will survey 20 students in the Environmental Club at the school. The mean number of hours for the 20 students will be used to estimate the population mean. Which of the following conditions for inference have not been met?
1. The data are collected using a random sampling method.
2. The sample size is large enough to assume normality of the distribution of sample means.
3. The sample size is less than 10 percent of the population size.
Complete option:
The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III
Answer:
D.) I, II, and III
Step-by-step explanation:
The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.
Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.
10% of the population size is :
Population size = 5000
0.10 * 5000 = 500 samples
Hence, sample size used is less than 10% of population size.
The measure of arc AB is °.
The measure of angle AOB is °.
The measure of angle BDA is °.
Answer:
50,50,25
Step-by-step explanation:
Answer:
50,50.25
Step-by-step explanation:
One hundred sixty people who suffer from painful diabetic neuropathy have volunteered to participate in a study. Eighty are selected at random and are given the drug gabapentin, which, although originally intended to prevent epileptic seizures, has properties that may make it useful to alleviate neuropathy. The remaining participants are given a placebo. A neurologist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of the symptoms.
Does the use of volunteers make this study invalid?
a. yes, because of volunteer bias no, because blocking was used.
b. yes, because there is no way to determine the effect of gabapentin on people that do not have symptoms of neuropathy.
c. no, because the subjects are randomly assigned to treatment groups.
Answer:
C. No, because the subjects are randomly assigned to treatment groups
Step-by-step explanation:
We are told that 80 people are selected at random and are given the drug gabapentin.
Also that the remaining people are given the placebo.
This means that they are randomly assigned treatment groups and so it is a completely randomized block design and as such the use of volunteers doesn't make it invalid.
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
Give brainly to other guy
Step-by-step explanation:he deserves it
which of the following statements are true of the discriminant?
Answer:
A,B,C
Step-by-step explanation:
Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 1–by–5–foot rectangle with a semicircle at each end, as shown.
Answer:
iodfk
Step-by-step explanation:
Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
9514 1404 393
Answer:
193.5 square units
Step-by-step explanation:
The area formula for this situation is ...
A = 1/2Pa
where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...
A = (1/2)(5×10.6)(7.3) = 193.45
To the nearest tenth, the area is 193.5 square units.
Solve the system 8y-5z=23 3y-2z=6
100 POINTS
Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16