Answer:
Intervals = (1,064) , (1,036)
Step-by-step explanation:
Given:
Use 95% method
Mean = 1,050
Standard deviation = 7
Find:
Intervals.
Computation:
95% method.
⇒ Intervals = Mean ± 2(Standard deviation)
⇒ Intervals = 1,050 ± 2(7)
⇒Intervals = 1,050 ± 14
⇒ Intervals = (1,050 + 14) , (1,050 - 14)
⇒ Intervals = (1,064) , (1,036)
The Intervals = (1,064) , (1,036)
Given that:
Use 95% methodMean = 1,050Standard deviation = 7Based on the above information, the calculation is as follows:
Intervals = Mean ± 2(Standard deviation)
Intervals = 1,050 ± 2(7)
Intervals = 1,050 ± 14
Intervals = (1,050 + 14) , (1,050 - 14)
Intervals = (1,064) , (1,036)
Learn more: https://brainly.com/question/1368131?referrer=searchResults
Please help. I’ll mark you as brainliest if correct!
answer is g(x)=|x+2|-1
[tex]answer \\ g(x) = - |x + 2| - 1\\ as \: we \: can \: see \: from \: the \: given \: graph \\ above \: that \: the \: graph \: of \: absolute \\ function \: has \: been \: reflected \: over \: the \\ x \: axis \: \: shifted \: 2 \: units \: left \: and \: 1 \: \\ units \: down. \\ due \: to \: reflection \: there \: is \: a \: negative \\ sign \: shift \: of \: 2 \: units \: left \: is \: given \\ by \: x + 2 \: and \: 1 \: units \: down \: is \: given \\ by \: - 1 \\ hope \: it \: helps[/tex]
the sum of two rational numbers is 8 if one of the numbers is -5/6 find the other
Answer:53/6
Step-by-step explanation:
Let X be the other rational number
-5/6+X=8
Add 5/6 to both sides
-5/6+5/6+X=8+5/6
0+X= 53/6 (inverse property)
X=53/6. (Identity property)
Please help me on this
Answer19/40=x/3.6
By cross multiplication
19*3.6=40*x
68.4 =40x
x=68.4/40
x=1.71
x=
Answer: C
Step-by-step explanation:
[tex]\frac{19}{40} = \frac{x}{3.6}[/tex] solve by cross product
40x = 68.4 Divide both sides by 40
x = 1.71
What’s the correct answer for this question?
Answer:
C.
Step-by-step explanation:
According to theorem, "the measure of central angle of minor Arc of a circle is doubleto that of the angle subtended by the corresponding major Arc."
So
m<AOB = 2(m<AZB)
m<AZB = M<AOB / 2
m<AZB = 68/2
m<AZB = 34°
Answer:
34° is right answer
Step-by-step explanation:
correct answer is 34
Using the definition of the derivative, find f prime (x ). Then find f prime (1 ), f prime (2 ), and f prime (3 )when the derivative exists.
Step-by-step explanation:
We need the function f(x) to be able to determine the required.
Suppose we were given a function
f(x) = y
f'(x) represents the first derivative of the function f(x) = y.
f'(1) represents the value of the first derivative of the function f(x) = y after replacing x by 1.
f'(5) represents the value of the first derivative of the function f(x) = y after replacing x by 5.
Example: Suppose f(x) = x² + 3x, find
f'(x), f'(1), and f'(5).
f'(x) = 2x + 3
f'(1) = 2(1) + 3 = 5
f'(5) = 2(5) + 3 = 13
If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as V = 4500 1 − 1 50 t 2 0≤ t ≤ 50. Find the rate at which water is draining from the tank after the following amounts of time.a) 5 min 855 x gal/min b) 10 min 160 x gal/min c) 20 min 120 x gal/min d) 50 min gal/min
Answer:
a) at 5 minutes: 162 gal/min
b) at 10 minutes: 144 gal/min
c) at 20 minutes: 108 gal/min
d) at 50 minutes: 0 gal/min
Step-by-step explanation:
Considering the formula given by the volume of water remaining in the tank:
[tex]V(t)=4500\,(1-\frac{1}{50} \,t)^2[/tex]we can find the rate of water draining from the tank, (that is change in volume divided elapsed time) with the derivative of the function at the different times. Notice that this function has a decaying curvature (see attached image) of volume as a function of time, and the idea is therefore to find the slope of the tangent line at the different requested times.
So we first calculate the derivative of this function at any time 't":
[tex]V(t)=4500\,(1-\frac{1}{50} \,t)^2\\V'(t)=9000\,(1-\frac{1}{50} \,t)\,(-\frac{1}{50})\\V'(t)=-180(1-\frac{1}{50} \,t)\\V'(t)=-180+3.6\,t[/tex]
And now we estimate this derivative at the different requested points for time values:
a) at 5 minutes: [tex]V'(5)=-180+3.6\,(5) = -162\,\,gal/min[/tex]
b) at 10 minutes: [tex]V'(10)=-180+3.6\,(10) = -144\,\,gal/min[/tex]
c) at 20 minutes: [tex]V'(20)=-180+3.6\,(20) = -108\,\,gal/min[/tex]
d) at 50 minutes: [tex]V'(50)=-180+3.6\,(50) = 0\,\,gal/min[/tex]
All the negative signs preceding indicate that the remaining volume in the tank is reducing as time goes by, so the volume at which the water is draining is actually the absolute value of those numbers.
Analysis showed that the mean arrival rate for vehicles at a certain Shell station on Friday afternoon last year was 4.5 vehicles per minute. How large a sample would be needed to estimate this year's mean arrival rate with 98 percent confidence and an error of ± 0.5?
Answer:
25
Step-by-step explanation:
use a Poisson process to model the arrival.
the mean rate of arrivals is λ=4.5
The standard deviation is calculated as:
σ==√λ =2.1213
The z-value for a 98% CI is z=2.3262.
If the 98% CI has to be within a error of 0.5 then:
Ul-Ll=2z*σ/√n=2*0.5=1
√n=z*σ=2.3262*2.1213=4.9346
√n=4.9346 and n = 4.9346^2=24.35 rounded to 25
The sample size needed is n=25.
Please answer this correctly
Answer:
First we need to calculate 1 part.
Calculate big part first
13*15 = 195
7*12 = 84
195+84=279
279
279 is answer
Answer: 279 yd^2
Step-by-step explanation:
Separate this into two separate rectangles: the larger top rectangle (13 yd x 15 yd) and the smaller bottom rectangle (12 yd x 7 yd).
area of rectangle 1 + area of rectangle 2 = total area of figure
b1(h1) + b2(h2) = total area
13(15) + 7(12) = total area
195 + 84 = total area
279 yd^2 = total area
Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 380 pounds. Agriculture scientists believe that the new fertilizer may change the yield. State the appropriate null and alternative hypotheses.
Answer:
The null and alternative hypothesis for this problem are:
[tex]H_0:\mu=380\\\\H_a: \mu>380[/tex]
Step-by-step explanation:
The alternative hypothesis shows the claim of the researchers. In this case, that the new type of fertilizer significantly increase the actual yield with the old fertilizer:
[tex]H_a: \mu>380[/tex]
The null hypothesis is the hypothesis to be nullified, so it states that the claim is not true and the yield is the same (or, at least, not significantly higher) as with the old fertilizer:
[tex]H_0: \mu=380[/tex]
The formula for the area of a triangle is , where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
3 units
Answer:
5 units
Step-by-step explanation:
make h the subject
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
Since they are similar, hence taking proportionality,
CA/CB = d1/d2
Cross Multiplying
We get
CA × d2 = CB × d1
OR
d1×CB = d2 × CA
9. The mean is defined as the
A. number that shows up most often in a data set.
B. average of a data set.
C. middle of the data set.
D. range of the data set.
Answer:
B. Average of the data set
Step-by-step explanation:
The mean is defined as the average of a data set and it's formula is
Mean = [tex]\frac{sum of observations}{number of observations}[/tex]
Some cruise ship passengers are given magnetic bracelets, which they agree to wear in an attempt to eliminate or diminish the effects of motion sickness. Others are given similar bracelets that have no magnetism. What type of study is this? What are the variables of interest?
Choose the correct answer below.
A. Observational study. The variable of interest is whether the passenger experienced motion sickness.
B. Observational study. The variable of interest is whether a passenger's bracelet is magnetized or not.
C. Experiment. The variable of interest is whether the passenger experienced motion sickness.
D. Experiment. The variable of interest is whether a passenger's bracelet is magnetized or not.
Answer:
Option c
Step-by-step explanation:
This is an experiment because the researcher wants to test efficiency of the magnetic bracelets in the elimination of motion sickness i.e. whether they experienced motion sickness even after wearing the magnetic bracelets.
3/5 of a juice drink is made of real juice. What percent of the drink is
real juice?
Answer:
60%
Step-by-step explanation:
Percent means out of 100
Changing 3/5 to a denominator of 100
3/5*20/20
60/100
The percent is 60 %
What’s the correct answer for this?
Answer:
D: <K = 35°
Step-by-step explanation:
<E = 55
<L = 90°
Now
<LKE = 180-90-55
<K = 35°
Answer:
[tex]\fbox{\begin{minipage}{8.8em}Option D is correct\end{minipage}}[/tex]
Explanation:
Here, we state again the definition of inscribed angle in circle:
(1) An inscribed angle has the vertex on the circle and the sides are chords.
=> In the picture shown, angle ELK is inscribed angle with vertex L and LE and LK are chords.
(2)An inscribed angle also creates an intercepted arc whose endpoints are on the angle.
=> Inscribed angle ELK creates intercepted arc EK.
(3) According to the Inscribed Angle Theorem, the measure of intercepted arc is twice as the measure of its inscribed angle.
=> Angle ELK = (1/2) arc EK
Arc EK, whose EK is diameter, is equal to measure of half of circle, or 180 degree, in other words.
=> Angle ELK = (1/2) x 180 = 90 deg
(4) As the property of sum of 3 angles inside a triangle, this sum is equal to 180 degree.
=> Considering triangle ELK:
ELK + LEK + LKE = 180 deg
or
90 + 55 + LKE = 180 deg
or
LKE = 180 - 90 - 55 = 35 deg
Hope this helps!
:)
which set of sides make a right triangle
Answer:
A right triangle consists of two legs and a hypotenuse.
Step-by-step explanation:
The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a couple of special types of right triangles, like the 45°-45° right triangles and the 30°-60° right triangle.
A toy manufacturer wants to know how many new toys children buy each year. Assume a previous study found the standard deviation to be 1.8. She thinks the mean is 5.8 toys per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.12 at the 80% level of confidence
Answer:
[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex] (b)
The critical value for 80% of confidence interval now can be founded using the normal distribution the significance level would be 20% and the critical value [tex]z_{\alpha/2}=1.28[/tex], replacing into formula (b) we got:
[tex]n=(\frac{1.28(1.8)}{0.12})^2 =368.64 \approx 369[/tex]
So the answer for this case would be n=369 rounded up to the nearest integer
Step-by-step explanation:
We know the following info given:
[tex] \sigma = 1.8[/tex] represent the standard deviation
[tex]\mu = 5.8[/tex] the true mean that she believes
[tex] ME = 0.12[/tex] represent the margin of error
The margin of error is given by this formula:
[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (a)
And on this case we have that ME =+0.12 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex] (b)
The critical value for 80% of confidence interval now can be founded using the normal distribution the significance level would be 20% and the critical value [tex]z_{\alpha/2}=1.28[/tex], replacing into formula (b) we got:
[tex]n=(\frac{1.28(1.8)}{0.12})^2 =368.64 \approx 369[/tex]
So the answer for this case would be n=369 rounded up to the nearest integer
Method 1: Long Division (x^2+3x-43) / (x+8
Answer:
x - 5 - (3/x+8)
Step-by-step explanation:
Answer:
Step-by-step explanation:
you and a group of friends spent at least $73.00 at a local pizzeria. Drinks for the table totaled $13 and it was $15 per pizza. how many pizzas could they order
Answer:
4 pizza's
Step-by-step explanation:
hope this helps :)
The probability of event A is 0.48, the probability of event A and B is 0.21, and the probability of events A or B is 0.89. What is the probability of event B? THE ANSWER IS 0.62
Answer:
P(B) = 0.62
Step-by-step explanation:
P(A or B) = P(A) + P(B) - P(A and B)
So, Putting the givens
0.89 = 0.48 + P(B) - 0.21
0.89 = 0.27 + P(B)
P(B) = 0.89 - 0.27
P(B) = 0.62
Joseph places $5,500 in a savings
account for 30 months. He earns $893.75
in interest. What is the annual interest
rate?
Answer: About 6.2%
Step-by-step explanation:
He starts with 5500 and gains 893.75 in 2.5 years.
The equation is then 5500*(x)^2.5 = 5500+893.75, or
5500*x^2.5 = 6393.75.
x is about 1.0621, or about 6.2% because it's interest.
Hope that helped,
-sirswagger21
Answer: 137.5%
Step-by-step explanation
Two airplanes leave an airport at the same time, flying in the same direction. One plane is flying at twice the speed of the other. If after 4 hours they are 1800 km apart, find the speed of each plane.
Answer:
The slower plane has a speed of 450 km/h and the faster one has a speed of 900 km/h.
Step-by-step explanation:
Two planes:
The first one's speed is x
The second is y.
One plane is flying at twice the speed of the other.
I will say that y = 2x.
Two airplanes leave an airport at the same time, flying in the same direction
Same direction, so their relative speed is the subtraction of their speeds. 2x - x = x.
Means that after 1 hour, they will be x miles apart.
If after 4 hours they are 1800 km apart, find the speed of each plane
After 1 hour, x km apart. After 4, 1800. So
1 hour - x km apart
4 hours - 1800 km apart
4x = 1800
x = 1800/4
x = 450
2x = 2*450 = 900
The slower plane has a speed of 450 km/h and the faster one has a speed of 900 km/h.
Solve for x
A) 10
B) 20
C) 30
D) 60
Help me I’m so pretty and funny I need help, worms infesting my brain.
Answer:
Option (2). x = 20°
Step-by-step explanation:
In the figure attached,
ΔABC is an equilateral triangle.
By the property of equilateral triangle, all sides of the triangle are equal and measure of all angles of the triangle is 60°.
By this property,
m∠B = 60°
and y = 46 - 16 = 30
By applying Sine rule in ΔBCD,
[tex]\frac{\text{sin}60}{BD}=\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{DC}[/tex]
[tex]\frac{\text{sin}80}{46}=\frac{\text{sin}(\angle CBD)}{y}[/tex]
sin(∠CBD) = [tex]\frac{30\times \text{sin}80}{46}[/tex]
= 0.6423
m∠CBD = 39.96
≈ 40°
m∠ABD = 60° - 40°
= 20°
Therefore, Option (2). 20° will be the answer.
Please answer this correctly
Answer:
432
Step-by-step explanation:
l x w
4x3
4x19
8x24
8x19
432
What is the measure of angle 7?
Answer: 95 degrees
Step-by-step explanation:
We can infer than angles 1, 4, 5, 8 are all equal and angles 2, 3, 6, 7 are also equal to eachother. These two sets of angles are supplementary(you’d get 180 by adding them)
So 3x+10=4x-15
if you rearrange you'll get
x=25
therefore angle 1 equals
3*25+10=85
angle 1 and 7 are supplementary
thus angle 7 equals
180-85=95
A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. How many kilograms of each alloy should be used to make 10 kilograms of the 40% silver alloy?
Answer:
the amount of 50% silver alloy is 6 kilograms and the amount of 25% silver alloy is (10-6)= 4 kilograms.
Step-by-step explanation:
Suppose, the weight of the alloy with 50% silver content is x kilograms.
As, the weight of the mixed alloy should be 10 kilograms, so the weight of the alloy with 25% silver content will be: kilograms
The percentage of silver content in the mixed alloy is 40%. So the equation will be calculated as
[tex]0.5x+0.25(10-x)=0.4\times10\\0.5x+2.5-0.25x=4\\0.25x=1.5\\\Rightarrow x=\frac{1.5}{0.25} = 6[/tex]
So, the amount of 50% silver alloy is 6 kilograms and the amount of 25% silver alloy is (10-6)= 4 kilograms.
Making Friends Online
A survey conducted in March 2015 asked 1060 teens to estimate, on average, the number of friends they had made online. while 43% had not made any friends online, a small number of the teens had made many friends online.
(a) Do you expect the distribution of number of friends made online to be symmetric, skewed to the right, or skewed to the left?
Skewed to the left.
Symmetric
Skewed to the right.
(b) Two measures of center for this distribution are 1 friend and 5.3 friends. Which is most likely to be the mean and which is most likely to be the median?
Mean=
Median=
1Lenhart A, "Teens, Technology, and Friendships", Pew Research Center, pewresearch.org, August 6, 2015. Value for the mean is estimated from information given.
Answer:
Step-by-step explanation:
) Do you expect the distribution of number of friends made online to be symmetric, skewed to the right, or skewed to the left?
Skewed to the left.
Symmetric
Skewed to the right.
(b) Two measures of center for this distribution are 1 friend and 5.3 friends. Which is most likely to be the mean and which is most likely to be the median?
Mean=
Median=
----------------------------------a)
as proportion of people with 0 friends is 43% whcih is on left side and maximum ; and % decrease with increasing number of friends
skewed to the right
b)
as it is skewed to the right ; therefore mean is greater than median
mean=5.3
median=1
[since for skwewed to the right distribution :mean is always greater than median, therefore higher value should be mean which is 5.3 and lower value is median which is 1]
Part(a): Skewed to the right
Part(b) The required values are,
mean=5.3
median=1
a)
As a proportion of people with 0 friends are 43% which is on the left side and maximum; and % decrease with an increasing number of friends
skewed to the right
b)
As it is skewed to the right; therefore mean is greater than the median
mean=5.3
median=1
Learn More:https://brainly.com/question/11729451
What is the size of angle YXZ?
We have a right triangle and we're given the leg lengths.
tan X = |YZ| / |XZ| = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
tan X = YZ / XZ = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
what is the solution to this problem
x-17= -5
Hi
X-17 = -5
X = -5+17
X = 12
Answer:
Step-by-step explanation:
I'm pretty sure that you have to add 17 on both sides to keep the final number, not negative.
So like:
x-17=-5
+17 +17
x-0=12
and because 0 is nothing really, x=12
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)? (0,6) (0,–6) (6,0) (–6,0)
Answer: (-6, 0)
Step-by-step explanation:
X-intercepts of equations are any points on the equation that lie on the x-axis, or the horizontal line "y = 0".
In order to find the x-intercept of an equation, find the points that will satisfy the equation "y = 0":
y = (x + 6)(x - 3)
y = 0
(x + 6)(x - 3) = 0
With this equation, you can find which points lie on the x-axis.
When x = -6, the equation is: 0 * -9 = 0, which is correct.
When x = 3, the equation is 9 * 0 = 0, which is correct.
Make sure you're picking the correct coordinate out of the answer choices.
The x-coordinates are -6 and 3, and the y-coordinates are 0, because the points lie on the x-axis.
The correct answer is (-6, 0).
(3, 0) is also correct, but the question does not require it.
Answer:
D
Step-by-step explanation:
