Answer:
The answer is - 2Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3, −7) and (−1, 1)
The slope is
[tex]m = \frac{1 - - 7}{ - 1 - 3} = \frac{1 + 7}{ - 4} = - \frac{8}{4} = - 2 \\ [/tex]
We have the final answer as
- 2Hope this helps you
Answer:
slope = difference_in_y/difference_in_x
= (-1 - -7)/(3 - 1)
= 6/2
= 3
Step-by-step explanation:
f(x)=3x + 4
What is f(-2)
Answer:
f(x+2)=3x+10
Step-by-step explanation:
This is writing equations. Matt's dog weighs 30 pounds. His dog 20 more pounds than 4 times his cat. What is the weight of the cat?
Answer:
1.5
Step-by-step explanation:
30÷20=1.5
A restaurant customer wants to rate 6 different dishes that were being served. In how many ways can the customer rate the 6 dishes?
Answer:
720
Step-by-step explanation:
As the order of the rating does not matter, we have a case of permutation.
P(6) = 6! = 6.5.4.3.2.1 = 720
Mariah has 714 postcards to put in an album each page of the album holds 10 postcards how many pages does Mariah need for her postcard
Answer:
72 pages
Step-by-step explanation:
If each page can hold 10 postcard 710 postcards would occupy 71 pages, requiring another page for the remainder. My answer is rounded up from the more accurate answer of 71.2 pages
Divide Rs. 2379 into 3 parts so that their amounts after 2,3 and 4 years respectively may be equal, the rate of interest is 5% per annum at simple interest. The first part is..
Answer:
d Rs 828
Step-by-step explanation:
Let the three parts be x,y and z.
Then, x+
100
x×2×5
=y+
100
y×3×5
=z+
100
z×4×5
⇒x+
10
x
=y+
20
3y
=z+
5
z
10
11x
=
20
23y
=
5
6z
=k(say)
∴x=
11
10k
,y=
23
20k
,z=
6
5k
Given, x+y+z=2379
⇒
11
10k
+
23
20k
+
6
5k
=2379
⇒
1518
1380k+1320k+1265k
=2379
⇒3965k=2379×1518
⇒k=
3965
2379×1518
⇒ First part = Rs.
11×5
10×3×1518
= Rs. 828
Let the three parts be x,y and z.
Then, x+
100
x×2×5
=y+
100
y×3×5
=z+
100
z×4×5
⇒x+
10
x
=y+
20
3y
=z+
5
z
10
11x
=
20
23y
=
5
6z
=k(say)
∴x=
11
10k
,y=
23
20k
,z=
6
5k
Given, x+y+z=2379
⇒
11
10k
+
23
20k
+
6
5k
=2379
⇒
1518
1380k+1320k+1265k
=2379
⇒3965k=2379×1518
⇒k=
3965
2379×1518
⇒ First part = Rs.
11×5
10×3×1518
= Rs. 828
Point S is on line segment RT. Given RT=4x, ST = 5x-10, and RS = 6 determine the numerical length of ST.
Answer:
ST=10
Step-by-step explanation:
5066. Write the number that is one hundred more using number names
The Tiny State College Student Advisory Board has rules to the effect that the officers of the board (i.e., Chairperson, Vice-Chairperson, and Treasurer) must always include at least one in-state student and at least one senior. The 150 Student Council consists of 6 members: 1 in-state senior, two in-state stude who are not seniors, 1 out-of-state senior, and two out-of-state students wn not seniors. In how many ways can the officers of the Student Advisory Bog selected from these 6 Student Council members if they must obey the rules that if individual members switch offices, this produces a different Board.
Answer:
P (6, 3) – p (6, 4) – p (6, 2) = 270
Step-by-step explanation:
The 150 student council consist of 6 members.
Included at least one in-state student and at least one senior.
There are total 6 members: in which,
1 in- state senior,
2 in state non-senior,
1 out of state senior and
2 out of state non-senior.
Total member are 6 and we selected 3. So p (6, 3)
The way team will have only non-senior = p (6, 4)
The way team will have out of state = p (6, 2)
Subtracting the total we get:
P (6, 3) – p (6, 4) – p (6, 2) = 6x5x4 – 6 x 5 x 4 x3 – 6x 5
= 30 x 4 – 30 x 12 – 30
= 120 – 360 – 30
=- 270
877x4 I’m having trouble with this ✌
Answer:
The answer is 3,508
Step-by-step explanation:
Calculator
877 x 4
3508
Hope this helps! :)
$
12
Select the box in each rowia
WA
6
How many 10 oz servings are in a 5-quart pitcher of lemonade?
There are ? Servings
Answer:
There are 16 servings
Step-by-step explanation:
First, find how many oz are in 5 quarts.
Think: In one quart there are 32 ounces, in 5 quarts how many ounces would that be?
5 x 32 = 160 ounces
Next, divide 160 ounces by 10 servings
160 / 10 = 16 servings
So there are 16 servings in a 5 quart pitcher.
Hope this helps ;)
What is the product of 1 5/7 * 3 2/3?
Answer:
GJG
Step-by-step explanation:
HGJG
How do you do this question?
Answer:
33/16
Step-by-step explanation:
x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2
dx/dy = y³/2 − 1/(2y³)
Arc length is:
s = ∫ ds
s = ∫ √(1 + (dx/dy)²) dy
s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy
s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy
s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy
s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy
s = ∫₁² ½ √(y³ + 1/y³)² dy
s = ∫₁² ½ (y³ + 1/y³) dy
s = ½ (y⁴/4 − 1/(2y²)) |₁²
s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)
s = 33/16
1) Refer back to Lesson 2, Part A. Assume that the average shoulder width of the people in the line was 1.325 feet. How long would the line be if it contained 10 million people? Express your answer in feet.
Answer:
13,250,000 feet or 13.25 million feet
Step-by-step explanation:
Each person in the line has a shoulder width of 1.325 feet.
For each person, there is a width of 1.325 ft. There are 10 million people.
Since:
10 million = 10,000,000
The total length must be:
[tex]1.325 * 10,000,000[/tex]
[tex]1.325 * 10,000,000 = 13,250,000[/tex]
Answer: 13,250,000 feet or 13.25 million feet
hellllllppppppp pleaseeeeee
Find the slope of the line passing through the points (2, 5) and (0, -4)
A.−2/9
B.9/2
C.−9/2
D.2/9
5. Find the value of x and y
the value is find the valu of y and it willl be x
Answer:
(2x +12) + (3x +23) = 180
5x + 35 = 180
5x = 145
x = 29
2(29) + 12
58 + 12
70
180 - 70 = 110
y = 110
or
3(29) + 23
87 + 23
110
corresponding angles are equal
y = 110
Solve this −14(z−5)=−14z+70
Answer:
All real numbers are solutions.
Explanation:
−14(z − 5) = −14z + 70
[ Step 1: Simplify both sides of the equation ]
−14(z − 5) = −14z + 70
(−14)(z) + (−14)(−5) = −14z + 70 (Distribute)
−14z + 70 = −14z + 70
[ Step 2: Add 14z to both sides ]
−14z + 70 + 14z = −14z + 70 + 14z
70 = 70
[ Step 3: Subtract 70 from both sides ]
70 − 70 = 70 − 70
0 = 0
Therefore, all real numbers are solutions.
Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct % confidence interval estimate of , the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution
Answer:
what do you mean
Step-by-step explanation:
A linear function is given by formula y= 1 2 x−2. d State the slope of the line.
Answer:
The slope is 1/2.
Step-by-step explanation:
All you have to do is see what is being multiplied by x, and that will be your slope. The number after is your "b"
Write h(x) = 3x2 – 12x in vertex form.
Answer:
y=3(x-2)^2-12
please let me know if its right.
-4 < 11 - 3x
Solve for x.
Answer as an inequality.
Steps to solve:
-4 < 11 - 3x
~Subtract 11 to both sides
-15 < -3x
~Divide -3 to both sides
5 > x
Best of Luck!
(Ch10.7) True or False? Based on a random sample of 13 tire changes (n1), the mean time to change a tire on a Boeing 777 has a mean of 59.5 minutes with a standard deviation of 7.4 minutes. For 10 tire changes (n2) on a Boeing 787, the mean time was 64.3 minutes with a standard deviation of 13.2 minutes. In testing equal variances in a "two-tailed" F-test at α=0.1, we should reject the null hypothesis of equal population variances.
Answer:
Yes its true
Calculated value F = 3.264 > 2.32 at 0.1 level of significance
Null hypothesis is rejected
alternative hypothesis is accepted
The population variances are not equal
Step-by-step explanation:
Step(i):-
Given first sample size 'n₁ = 13
Mean of the first sample = 59.5 min
Standard deviation of the first sample (S₁) = 7.4min
Mean of the second sample = 64.3 min
Standard deviation of the second sample( S₂ ) = 13.2min
Null hypothesis :H₀: σ₁² = σ₂²
Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²
Degrees of freedom
ν₁ = n₁ -1 = 13 -1 = 12
ν₂ = n₂ -1 = 10 -1 = 9
Step(ii):-
Null Hypothesis H₀ : σ₁² = σ₂²
Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²
Test statistic
[tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} }[/tex]
Given sample standard deviations are given
we have to determine the Population variances S₁² and S₂²
n₁ s₁² = (n₁-1) S₁²
13 ( 7.4)² = ( 13-1) S₁²
S₁² = 59.32
n₂ s₂² = (n₂-1) S₂²
10 ( 13.2)² = ( 10-1) S₂²
S₂² = 193.6
Step(iii):-
Test statistic
[tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} } = \frac{193.6}{59.3} = 3.264[/tex]
F = 3.264
F( 12 , 9 ) = 2.32
Calculated value F = 3.264 > 2.32 at 0.1 level of significance
Null hypothesis is rejected
alternative hypothesis is accepted
The population variances are not equal
9 + 1.34 + .5 (3.50 +1.74) How would you simplify the expression? Explain your steps.
Find mzy.
X
(6x-23)
(4x + 9)
Z
m_Y =
Answer:
6×+4×10×-23=9-13=-4A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are: million from the office building, million from the theater, and million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract, the parking garage contract, or nothing are , , , and , respectively. Let be the random variable that represents the contractor's profits in millions of dollars. Write the probability distribution of . Find the mean and standard deviation of . Round your answers to three decimal places, if required.
Answer:
The following are the answer to this question:
Step-by-step explanation:
In the given question the numeric value is missing which is defined in the attached file please fine it.
Calculating the probability of the distribution for x:
[tex]\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\[/tex]
The formula for calculating the mean value:
[tex]\bold{ E(X)= x \times f(x)}[/tex]
[tex]=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07[/tex]
[tex]\bold{E(X^2) = x^2 \times f(x)}[/tex]
[tex]=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83[/tex]
use formula for calculating the Variance:
[tex]\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}[/tex]
[tex]= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13[/tex]
calculating the value of standard deivation:
Standard Deivation (SD) = [tex]\sqrt{Variance}[/tex]
[tex]= \sqrt{26.13} \\\\=5.111[/tex]
find the value of x in the triangle shown
Answer:
12 or 16
Step-by-step explanation:
because it was a good thing for you to be here with us today so I don't have any money in my hands and you don't want me back in
A company currently has 200 units of a product on hand that it orders every 2 weeks when the salesperson visits the premises. Demand for the product averages 20 units per day with a stand deviation of 5 units. Lead time for the product to arrive is 7 days. Management has a goal of a 95% probability of not seeking out for this product. The salesperson is due to come in late this afternoon when 180 units are left in stock (assuming that 20 are sold today). How many units should be ordered
Answer: 289 units
Step-by-step explanation:
Given the following :
Inventory (I) = 180
Lead time (L) = 7 days
Review time (T) = 2 weeks = 14 days
Demand (D) = 20
Standard deviation (σ) = 5
Zscore for 95% probability = 1.645
Units to be ordered :
D(T + L) + z(σT+L)
(σT+L) = √(T + L)σ²
= √(14 + 7)5²
= √(21)25
= 22.9
D(T + L) + z(σT+L) - I
20(14 + 7) + 1.645(22.9 + 7) - I
= 420 + 49.1855 - 180
= 289.1855
= 289 quantities
If 16, X + 2, 1 are the first three terms of a
geometric sequence, find all possible values
of x.
Answer:
X=2 or X=-6
Step-by-step explanation:
The common ratio is either 1/4 or -1/4. Since if we divide 16 by 4 we get 4 and we divide that by 4 get 1 or if we divide 16 by -4 we get -4 and that by -4 to get 1.
A more detailed math explanation:
ar^2/a=1/16
r^2=1/16
r=1/4 or -1/4
This means the second term is either 16(1/4)=4 or 16(-1/4)=-4.
So,
X+2=4 or X+2=-4
Subtract 2 on both sides:
X=4-2 or X=-4-2
X=2 or X=-6
Answer: x = 2 or x = -6
Step-by-step explanation:
16, x + 2, 1
Notice that a₁ to a₃ is 2 ratios.
16 · r² = 1
r² = 1/16
r = ± 1/4
If r = 1/4, then a₂ = 16/4
= 4
4 = x + 2 → x = 2
If r = - 1/4, then a₂ = 16/-4
= -4
-4 = x + 2 → x = -6
Could someone pleasee answer this?
Answer:
Step-by-step explanation:
Question 3 options: The scale factor of triangle ABC to triangle DEF is triangles
Answer:
The scale factor is 2.
