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3 years ago

What is the slope of a line through (-5, -10) and (-1, 5)

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

Answer:

m = 15/4

Step-by-step explanation:

slope (m) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-5 , -10)

(x₂ , y₂) = (-1 , 5)

Plug in the corresponding numbers to the corresponding variables:

m = (5 - (-10))/(-1 - (-5))

m = (5 + 10)/(-1 + 5)

m = (15)/(4)

m = 15/4 is your answer.

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Dylan is evaluating the expression 13+19+7+10 . At one step in his work, Dylan rewrites the equation as 13+7+19+10 Which propert

zhuklara [117]

By looking at the current state of the question, the answer is associative property because that seems to be the only option present

3 0

3 years ago

Read 2 more answers

The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health camp

Rom4ik [11]

Answer:

H0: μ ≤ 1.30

H1: μ > 1.30

|Test statistic | > 1.833 ; Reject H0

Test statistic = 3.11

Yes

Pvalue = 0.006

Step-by-step explanation:

H0: μ ≤ 1.30

H1: μ > 1.30

Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54

Xbar = 14.84 / 10 = 1.484

Standard deviation, s = 0.187 (calculator)

Decison rule :

|Test statistic | > TCritical ; reject H0

df = n - 1 = 10 - 1 = 9

Tcritical(0.05; 9) = 1.833

|Test statistic | > 1.833 ; Reject H0

Test statistic :

(xbar - μ) ÷ (s/√(n))

(1.484 - 1.30) ÷ (0.187/√(10))

0.184 / 0.0591345

Test statistic = 3.11

Since ;

|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased

Pvalue estimate using the Pvalue calculator :

Pvalue = 0.006

7 0

3 years ago

Find the value of x to the nearest whole number. Tan x(degree) = 1.732

NeTakaya

$tanx^o=1.732\\\\x^o=60^o\\\\tan60^o=\sqrt3\approx1.732$

5 0

3 years ago

Expressions and Equations

Anna71 [15]

Answer:

A) 4x+8

B) 8x-16

C) 8x+12

D) 6x+6y+6z

Step-by-step explanation:

multiple the number outside of the parentheses by each number or letter inside the parentheses

8 0

3 years ago

Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be $100x$ .

voters registered as Democrats $=37\%=\frac{37}{100}\times100x$

$=37x$

voters registered as Republicans $=29\%=\frac{29}{100}\times100x$

$=29x$

voters registered as Green party $=7\%=\frac{7}{100}\times100x$

$=7x$

Probability that first call will be to Democrats $P(A)=\frac{\text{total democrats}}{\text{total voters}}$

$=\frac{37x}{100x}=0.37$

Probability that first call will be to Republican $P(B)=\frac{\text{total republicans}}{\text{total voters}}$

$=\frac{29x}{100x}=0.29$

probability that the first call will be to either a Democrat or a Republican

$=P(A)+P(B)$

$=0.37+0.29$

$=0.66$

Hence the probability that the first call will be to either a Democrat or a Republican is $0.66$

6 0

3 years ago