Answer:b
Step-by-step explanation:
The terms in Pattern B are one third the corresponding terms in Pattern A.
What is the measure of ∠PCB?
75 degrees
18 degrees
33 degrees
144 degrees
Answer:
3rd Option, 33° = ∠PCB
Step-by-step explanation:
First find the measure of ∠CPB;
∠CPB = 180 - 105
∠CPB = 75
Now we can find the measure of ∠PCB;
180 - (Angle 1 + Angle 2)
180 - (75 + 72)
33 = ∠PCB
Hope this helps!
Simplify 150-(0.4 x 150 + 15)
Answer:
−60x + 135
Step-by-step explanation:
Answer:
150 - (0.4×150+15)
= 150-75
= 75
Riders on a roller coaster must be at least 48 in tall my son is only 35 inches write an inequality to show how much can he grow to ride the roller coaster
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
243 ft^3
Step-by-step explanation:
The volume of a triangular prism is the triangular base times the height.
To get the area of the triangle, multiply the base time height and divide by 2.
9*6/2=27
Now multiply by the height
27*9=243
Answer: 243 ft^3
Answer:
243ft^3
Step-by-step explanation:
PLEASE HELP FAST !!!
An artist creates a cone shape sculpture for an Art exhibit if the sculpture is 7 feet tall and has a base with a circumference of 21.980 feet what is the volume of the sculpture?
Answer:
The volume of the sculpture is 111.439
Step-by-step explanation:
Whats the Diameter? I really need help understanding this
Answer:
1.8 in.
Step-by-step explanation:
Hi there!
1) Determine the radius of the base
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the base and h is the height of the cone
Plug in the known values (h=4.2, V=3.6)
[tex]3.6=\frac{1}{3} \pi r^2(4.2)[/tex]
Isolate r; divide both sides by 4.2
[tex]\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2[/tex]
Multiply both sides by 3
[tex]\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2[/tex]
Divide both sides by π
[tex]\frac{18}{7\pi }=r^2[/tex]
Take the square root of both sides
[tex]\sqrt{\frac{18}{7\pi }} =r[/tex]
2) Determine the diameter
Now that we have the radius, to find the diameter, multiply r by 2:
[tex]d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8[/tex]
Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.
I hope this helps!
Answer:
1.8 in
Step-by-step explanation:
we know the equation for the volume of a cone is pi*r^2 h/3=3.6
pi r^2 *4.2=10.8
solve for r
r is about 0.9 so diameter is 1.8 in
find f(3) for the polynomial function F(x)=x^3-9x^2+5x-2
Answer:
f(3) = -41
Step-by-step explanation:
f(x) = x³-9x²+5x-2
now,
f(3) = 3³-9×(3)²+5×3-2
= 27-9×9+5×3-2
= 27-81+15-2
= -41
Express in words 18.01
Answer:
Eighteen point zero one
Step-by-step explanation:
Eighteen point zero one
The ratio of hot dogs to hamburgers on a barbeque table is 7:3. If there are 51 hamburgers on the table then how many hot dogs must be there?
Answer:
119 hotdogs
Step-by-step explanation:
Let 7x = no. of hotdogs
then 3x = no. of hamburgers
3x = 51
x = 17
7(17) = 119 hotdogs
2.2 A large supermarket offers an internet shopping service to its customers. It recently conducted
a survey amongst its customers to find out if full time employed customers are more likely to use
the internet shopping facility than at home customers. The survey findings are summarized in the
following cross-tabulation table:
Employment status
Use internet shopping
Yes
No
Full-time
35
109
At-home
40
176
At the 5% significance level, is there sufficient statistical evidence to conclude that full-time
employed customers are more likely to use the internet shopping service than at-home
customers? (ie, is employment status and the use of internet shopping statistically dependent?)
What conclusion can be drawn
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 114 feet. Assume that the population standard deviation is 22 feet. Use Table 1. State the null and the alternative hypotheses for the test. H_0:mu = 120: H_A: mu notequalto 120 H_0:mu 2 greaterthanorequalto 120: H_A mu < 120 H_0: mu lessthanorequalto 120: H_A: mu > 120 Calculate the value of the test statistic and the p-value. {Negative values should be indicated by a minus sign. Round "Test statistic" to 2 decimal places 3nd "p-value" to 4 decimal places.} The p-value is: p-value < 0.01 0.01 lessthanorequalto p-value < 0.025 0.025 lessthanorequalto p-value < 0.05 0.05 lessthanorequalto p-value < 0/.10 p-value greaterthanorequalto 0.10 c. Use alpha = 0.01 to determine if the average breaking distance differs from 120 feet. Repeat the test with the critical value approach. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
Answer:
H0: mu = 120 , Ha: : mu not equal to 120
The p-value is greater than or equal to 0.10
z= -1.636
Since the calculated value of z does not fall in the critical region H0 is not rejected.
Step-by-step explanation:
State the null and alternate hypothesis
H0: mu = 120
average braking distance for a small car traveling at 65 miles per hour equals 120 feet.
against the claim
Ha: : mu not equal to 120
average braking distance for a small car traveling at 65 miles per hour does not equal 120 feet.
The p-value equals 0.101764 which is greater than 0.01 and thus supports H0.
The p-value is greater than or equal to 0.10
The test statistic z is applied
Here
Sample Mean x~ = 114
Population mean μ =120
Sample size n= 36
Population SD =σ= 22
Z= u- μ/σ√n
Z= 114- 120/ 22/ √36
z= -1.636
This is a two tailed test and the critical region for two tailed test at alpha = 0.01 is z ∝/2= ± 2.58
Since the calculated value of z does not fall in the critical region H0 is not rejected.
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
Answer:
Let's cut the figure into:
Parallelogram, square, and rectangle.
Let's find the area of the parallelogram first:
10 x 3.5 = 35
Let's find the area of the square:
4 x 4 = 16
When given one length of a square you already know are sides and lengths are equal so therefore 1 given length of a square is all the lengths.
Let's find the area of a rectangle:
6 x 12.5 = 75
Now let's add all the areas up:
35 + 16 + 75 = 126 square inches is your answer.
Eli is moving to a new city. He packs his belongings in cube-shaped boxes that each have a volume of one cubic foot. He places the boxes in a storage unit that is shaped like a rectangular prism. The floor of the storage unit can be completely covered by a layer of 150 boxes. If 6 layers of boxes can completely fill the storage unit, what is its volume?
Answer:
jnnm mnn m
Step-by-step explanation:
Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
A. Y-3 = 2.5(x-9)
B. y + 3 = 2.5(x + 9)
C. y + 9 = 2.5(x + 3)
O D. y-9 = 2.5(x-3)
Answer:
C. [tex] y + 9 = 2.5(x + 3) [/tex]
Step-by-step explanation:
Point-slope equation takes the form of [tex] y - b = m(x - a) [/tex].
Where,
a and b area coordinates of a point the line passes through. In this case, a = -3, and b = -9
m = slope, in this case, slope will be the same as the slope value of the line it is parallel too = 2.5.
Substitute a = -3, b = -9 and m = 2.5 into [tex] y - b = m(x - a) [/tex].
Thus:
[tex] y - (-9) = 2.5(x - (-3) [/tex]
[tex] y + 9 = 2.5(x + 3) [/tex]
PLS help asap bt 1230 pt help thank you will brainliest
Answer:
85
Step-by-step explanation:
So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.
That is exactly what I though.
But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.
So, to find the angle of the trainge, lets take our 155 degree line.
Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:
180-155=missing angle
=
25. So we know that the smallest angle of the traingle is 25.
We also know that a traingle has a total of 180 degrees.
We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:
60+25
=
85
Now subtract it from 180:
180-85
=
95
So that last angle of the traingle is 95.
Now, we need to solve the missing angle of the line that will give us the answer.
Again, we know the line has to be 180, so lets subtract 95 from that:
180-95
=
85
So we know that the missing angle answer is 85!
I hope this isnt too confusing and helps! :)
how do i find parabola from a figure ( process )
Step-by-step explanation:
The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)
We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.
Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:
Label a, b, and c.
Decide the direction of the paraola:
If a > 0 (positive) then the parabola opens upward.
If a < 0 (negative) then the parabola opens downward.
Find the x-intercepts:
Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.
Find the y-intercept:
The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).
Find the vertex (h,k):
To find the x-coordinate for the vertex we use the following formula:
To find the y-coordinate for the vertex we plug in h in the original equation:
k = a(h)2 + b(h) + c
Plot the points and graph the parabola
-Please Mark As Brainliest
A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500 randomly selected people who rode a jet ski, 85% wore life vests. Out of 250 randomly selected boaters, 90.4% wore life vests. Using a 0.05 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. State the null and alternative hypotheses for the test.
Answer:
The null hypothesis is [tex]H_0: p_1 - p_2 = 0[/tex]
The alternate hypothesis is [tex]H_a: p_1 - p_2 \neq 0[/tex]
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
Step-by-step explanation:
Before testing the null hypothesis, we need to understand the Central Limit Theorem and subtraction of normal variables.
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
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.
Out of 500 randomly selected people who rode a jet ski, 85% wore life vests.
This means that [tex]p_1 = 0.85, s_1 = \sqrt{\frac{0.85*0.15}{500}} = 0.016[/tex]
Out of 250 randomly selected boaters, 90.4% wore life vests.
This means that [tex]p_2 = 0.904, s_2 = \sqrt{\frac{{0.904*0.096}{250}} = 0.019[/tex]
Test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
At the null hypothesis, we test that the proportions are the same, that is, the subtraction between them is zero. So
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternate hypothesis, we test that the proportions are different, that is, the subtraction between them is different of zero. So
[tex]H_a: p_1 - p_2 \neq 0[/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]
From the two samples, we have that:
[tex]X = p_1 - p_2 = 0.85 - 0.904 = -0.054[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.016^2 + 0.019^2} = 0.0248[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.054 - 0}{0.0248}[/tex]
[tex]z = -2.17[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the difference differs from 0 by at least 0.054, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of z = -2.17
Looking at the z-table, z = -2.17 has a pvalue of 0.015
2*0.015 = 0.03
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
Can someone help me with this math problem
Answer:
$1,545
Step-by-step explanation:
3% of 1500 is 45
1500 + 45 = 1545
Agree or Disagree? plz help no link plz
Answer:
Agree
Step-by-step explanation:
Maddie has $50. she worked for five days and she now has $270. what integer represents the average increase in value PER DAY
What is the decimal equivalent of 2/3?
Answer:
0.66
Step-by-step explanation:
Answer:
i think 0.6
Step-by-step explanation:
i thank hope it helps
Some1 hurry need help!!
Answer:
A
Step-by-step explanation:
Because it's reflected across the x-axis, the x coordinate doesn't change. On the other hand, the y coordinate becomes its opposite. So we get:
(4, 2) -> (4, -2)
Please send me the graph of -x²-5x+6
Answer:
-\left(x-1\right)\left(x+6\right)
Step-by-step explanation:
-\left(x^2+5x-6\right)
If two angles are complementary and one angle is 50º what is the measure of the other angle?
Answer: 40 degrees
Step-by-step explanation: Complementary angles always have a sum of 90 degrees. In order to find the other complementary angle take 90 and subtract 50 in order to get your missing value (value of the other angle).
Find the sum of the measures of the INTERIOR angles in 36-gon polygon
Answer: 6120
Step-by-step explanation:
The equation for the interior angles of a polygon is (n-2)180. So using the equation, (36-2)180=(34)180=6120.
Work out
4 3/5 - 2 2/5
Give your answer as a mixed number in its simplest form.
Answer:
2 1/5
Step-by-step explanation:
4 3/5 - 2 2/5
I like to make them vertical
4 3/5
- 2 2/5
-----------------
2 1/5
PLEASEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP AM GOING TO FAIL
Answer:
2b + 10
Step-by-step explanation:
HELP PLEASE! ASAP! Need full equation and I WILL GIVE BRAINLY!!
Answer:
y = (3/2)x - 4
Step-by-step explanation:
Use (y2-y1)/(x2-x1) to find slope, and then y-intercept is -4.
can someone answer this i am in forth grade 7/8 x 3 =