Answer:
The evidence is not sufficient to suggest that the theft rate of Nissan Maxima cars are higher than national rate
Step-by-step explanation:
The number of cars that where reported stolen in 1999 = 2.2% = 0.022
The number of Nissan Maxima cars in the sample = 400
The number of Nissan Maxima cars that were reported stolen = 12
The level of significance, α = 0.05 level
The critical-z at 0.05 = 5% level = 1.645
The percentage of Nissan Maxima cars reported stolen, [tex]\hat p[/tex] = 12/400×100 = 3%
The test statistic is given as follows;
[tex]z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0 \cdot (1 - p_0)}{n}}}[/tex]
Therefore
[tex]z=\dfrac{0.03-0.022}{\sqrt{\dfrac{#0.022 \cdot (1 - #0.022)}{400}}} \approx 1.0908[/tex]
The test statistic = 1.0908
The p-value P(Z > 1.0908) = 1 - P(Z > 1.0908) = 1 - 0.86214 = 0.13768
Given that the critical-z is larger than the absolute value of the test statistic, the given data is statistically insignificant, we fail to reject the null hypothesis
There is not enough statistical evidence to suggest that the theft rate of Nissan Maxima cars are higher than national rate.
Write the equation of the line in slope-intercept form.
Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”
Which two triangles below are similar?
Answer:
Triangle A and B
Step-by-step explanation:
Both triangles have two same angles.
If Triangle A is rotated like Triangle B, they would be the same.
Vice versa, if Triangle B is rotated like Triangle A, it would be the same.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the solution to
(y = 3x - 30
x2 + y2 = 100
Answer:
x = 20
y = 30
Step-by-step explanation:
Answer:
x = 20
y = 30
Step-by-step explanation:
y = 3x - 30
2x + 2y = 100
2x + 2(3x - 30) = 100
2x + 6x - 60 = 100
8x - 60 = 100
8x = 160
x = 20
y = 3(20) - 30
y = 60 - 30
y = 30
solve the equation 5(x-1)=17
Answer:
5(x-1) = 17
5x - 5 = 17 (write equation in simpler terms)
add 5 on each side like this (5x = 17 + 5)
= 5x = 22 which results in 4.4
Two angles meet at a point on a straight line. One of the angles is 43o
. Work out the size of the other angle.
Answer:
d
Step-by-step explanation:
how many times can 495 go into 156
Answer:
0
Step-by-step explanation:
Answer:
0.315 times
Step-by-step explanation:
156÷495 ≈ 0.315
Have a good day :)
does anyone know the missing leg of the length?
Answer:
Hello! answer: 16
Step-by-step explanation:
These are a bit different instead your solving for B so you have to work backwords so... 20 × 20 = 400 12 × 12 = 144 400 - 144 = 256 now we just find out what multiplied by itself = 256 16 × 16 = 256 therefore b = 16 Hope that helps!
PLEASE HELP I ONLY HAVE 10 minutes
In Mr. Forester's science class,
students are given five tests in a
semester. Latoya's scores on the first
four tests are 86%, 82%, 91%, and
98%. If Latoya's score on the final
test is represented by x, then her
class average y can be found using
the equation below.
y =
86% + 82% + 91% + 98% + x
5
Mr. Forester awards an "A" to any
student whose class average falls
within the 90 - 100% range. Which
interval represents the domain of final
test scores that Latoya can get and
still receive an "A"?
F [90%, 100%]
G [87%, 100%]
H [93%, 100%]
[96%, 100%]
Answer:
The answer is "H [93%, 100%]"
Step-by-step explanation:
I'll edit this in a second to show the process, but it may take a minute. Just have the answer for now.
This is a surprisingly useful question hah, I'll bet many will need to do this.
This question is just finding the average. Pretty simple.
y = 86 + 82 + 91 + 98 + x / 5
y = 357 + x / 5
An easy way is to do the lowest question first, then go from lowest to second lowest and so on. Because if you go to the highest one and the answer is one of the lower ones, well, of course it's going to be within the 90-100 range, but that doesn't necessarily mean it's the answer.
y = 357 + (87) / 5
y = 444 / 5
y = 88.8
Okay, so the answer isn't G. Then let's try H.
y = 357 + (93) / 5
y = 450 / 5
y = 90
Yep, the answer is H. This is because it equals 90, which is indicative of the 90-100% range that Latoya needs to get an "A".
If I earn $21.30 an hour and work 12 hours how much money will I have in 2 days?
According to the question,
Earnings I get for working an hour = $21.30Total hours I work in a day = 12 hoursWe are asked to calculate how much money will I have in 2 days.
If in one day, I work 12 hours, so
→ Total hours I'll work in 2 days = 2(12) hours
→ Total hours I'll work in 2 days = 24 hours
Also, in the question it is given that,
→ Earnings I get for working an hour = $21.30
→ Earnings I'll get for working 24 hours = $(21.30 × 24)
→ Earnings I'll get for working 24 hours = $511.2
Therefore, I'll have $511.2 in two days.
Answer:
Earning per hour = $21.30
No. of hours he works = 12 hours
So in two days no. of hours he work = (12×2) hours = 24 hours
He earned in two days = 24 × $21.30 = $ 511.20 ( ans)
Hope it helps
Solve the equation for x. √x-6+3=10
The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?
Answer:
The original fraction is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2
[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]
Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is [tex]\frac{2}{5}[/tex]
An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side
Answer: [tex]3\times \dfrac{P}{3}=P[/tex]
Step-by-step explanation:
Given
The perimeter of one equilateral triangle is P
The lengths of the equilateral triangle are equal
Suppose x is the length of each side
[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]
i.e.
[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]
I NEED THIS ASAP!!! What is GC?
9514 1404 393
Answer:
D. 14
Step-by-step explanation:
Point G divides each median into parts that have the ratio ...
short : long = 1 : 2
Then ...
GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7
GC = 14
Question 3
What is the slope of the line?
Please
Answer:
2
Step-by-step explanation:
Which expressions simplify to a single term?
Answer:
c and d
Step-by-step explanation:
I think this is it sorry if wrong but i tryed really hard i am not good at math dont take this down pls.
A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?
Answer:
the answer is 456,976,000
Answer:
✅ C. 456,976,000⬇️ i got it right
At the Valero gas station, gas costs $2.55 per
gallon. The RV holds 55 gallons of gas. If the
RV currently has 20 gallons of gas, how much
will it cost to completely fill the RV with gas?
Answer:
140.25$
Step-by-step explanation:hope this helps <3
Answer:
Step-by-step explanation: valero gas station gas cost 2 dollars. 55 per gallon
55 + 20
ASAP!!!!!!
WITH EXPLANATION
simple interest on a certain amount of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5% per annum by ₹285,find the sum
are u from india ??????????
simplify 2(2x-y)-4(x-y)+3y
please give the answer if you know how to solve it
Answer:
2( 2x - y ) -4( x - y ) +3y
4x - 2y - 4x + 4y + 3y
-2y + 4y + 3y
-2y +7y
5y
11 times z=121
(11xz=121
Answer:
z will be11
11z = 121
z = 121/11
z= 11
Answer:
1=121= 11
Step-by-step explanation:
Which is the equation of a parabola with vertex (0, 0), that opens to the left and
has a focal width of 12?
a. y2 = 12x
b. y2 = -12x
c.x = 12y
d. x = -12y
Answer:
Step-by-step explanation:
I'm going to guess that the square exponents are on the top y's only? then answer b) looks good
Answer:
b. y^2 = -12x
Step-by-step explanation:
The general form for the given parabola is y^2 = -4ax where the focus is at (-a, 0). The focal width is 4a which in this case = 12.
How do I solve this please help no links
9514 1404 393
Answer:
$735
Step-by-step explanation:
We assume the cover needs to cover the pool only, not any extra area around the pool.
The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*
The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.
A = LW
A = (70 ft)(35 ft) = 2450 ft²
Then the cost is ...
C = ($0.30/ft²)(2450 ft²) = $735
The cost to buy a pool cover is $735.
__
* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.
Can someone please solve these?
Answer:
Step-by-step explanation:
h = -6[tex]t^{2}[/tex] +20t + 4
I will use calculus, maybe that's not how you're supposed to do this
-12t +20 =0
12t = 20
t = 20 /12
t = 1 [tex]\frac{8}{12}[/tex]
t = 1 [tex]\frac{2}{3}[/tex]
there will be a max at 1.6666666666 seconds
-6*[tex]1.6666666666666^{2}[/tex] + 20 * 1.6666666666 +4
= 16.666666666666 + 33.333333333333 + 4
= - 16[tex]\frac{2}{3}[/tex] + 33 [tex]\frac{1}{3}[/tex] + 4
= 20[tex]\frac{2}{3}[/tex] feet max height ( not too high, for a rocket)
time of flight:
0 = -6[tex]t^{2}[/tex] +20t + 4
use quadratic formula to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*4 ] / 2*(-6)
-20 +- sqrt [400 + 96 ] / -12
-20 +- sqrt [496 ] / -12
-20 +- 22.27105 / -12
try the negative option 1st
-42.27105 / -12
3.522 seconds. time of flight
when will the rocket be at 12' ? :
12 = -6[tex]t^{2}[/tex] +20t + 4
0 = -6[tex]t^{2}[/tex] +20t -8
use quadratic formula again to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*(-8) ] / 2*(-6)
-20 +- sqrt [ 400 - 192 ] / -12
-20 +- sqrt [208 ] / -12
-20 - 14.4222 / -12
-34.4222 / -12
2.8685 seconds ( on the way down)
and
-20 + 14.4222 / -12
-5.578 / - 12
0.4648 seconds ( on the way up )
Identify the slope of x = 9, then complete a
table of values for the equation.
Answer:
It's undefined since it's a vertical line.
Step-by-step explanation:
50.3 - 5.6 ÷ 0.7 × 1.6 of 3.5
Answer:
5.5 is the correct answer:)
Step-by-step explanation:
Hope this helped!!!
Hey ASAPPP PLS 80 points
Answer:
using pythagoras theorem
a^2+b^2=c^2
8^2+x^2=(x+2)^2
64+x^2=x^2+2*x*2+2^2
64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)
64=4x+4
64-4=4x
60/4=x
15=x
Step-by-step explanation:
What's the answer for this?
Answer:
50
Step-by-step explanation:
if 50 degrees is the angle across from b, then 50 is b. 50 applies to b as well. whatever is across from it is the same thing. all of the angles should add up to 360 at an intersection.
Bro this is so simple but I don't know. At the party, jorden shared out all the loonies in his present. Altogether there was 47 Lolies and 6 boys. How many lollies were leftover.
Answer:
5 lollies are left over
Step-by-step explanation:
Total lollies Jordan has = 47
Number of boys at the party = 6
If the lollies are shared equally,
Number of lollies each boy gets = Total lollies ÷ number of boys
= 47 ÷ 6
= 7 lollies remainder 5
That is,
6 boys × 7 lollies each = 42 lollies
How many lollies were leftover.
Remaining lolly = Total lollies - shared lollies
= 47 - 42
= 5 lollies are left over
A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses.
12, 5, 14, 6, 17, 7, 15
Send data to calculator
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Answer:
10.9
Step-by-step explanation:
The "mean" is just school's fancy way of saying "the average". To find the mean of the numbers, you add them all up first. 12 + 5 + 14 + 6 + 17 + 7 + 15 = 76. The next step is to divide 76 by the number of values that were added. 12, 5, 14, 6, 17, 7, and 15 are a total of 7 numbers. So, we will divide 76 by 7.
76/7 = 10.8571428571, which rounds to 10.9 if you are rounding it to the nearest tenth.
Answer:
[tex]\boxed {\boxed {\sf 10.9 \ hours }}[/tex]
Step-by-step explanation:
The mean is also called the average. It is a measure of central tendency and provides information about the center of a data set.
The mean is found by adding up all the values, then dividing by the number of values. Remember, this is the data set we have:
12, 5, 14, 6, 17, 7, 15
1. Add up values
12 + 5+ 14 + 6 + 17 + 7 + 15= 76
2. Divide by the number of values
There are 7 values ( 1 for each student)76/7=10.8571428571
3. Round
We need to round our answer to the nearest tenth. The 5 in the hundredth place tells us to round the 8 up to a 9.10.8571428571 ≈ 10.9
The mean number of hours spent watching television for this group of students is 10.9 hours.
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Step-by-step explanation:
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Answer:
One sandwich costs $30
One juice costs $10