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krok68 [10]
3 years ago
12

Can u guys help with b and d

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

8.45

Step-by-step explanation:

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Lena [83]
There are 860 cm in 8.6m
5 0
3 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Dima020 [189]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ ≥ 50000

For the alternative hypothesis,

µ < 50000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = lifetime of the tyres

µ = mean lifetime

σ = standard deviation

n = number of samples

From the information given,

µ = 50000 miles

x = 45800 miles

σ = 8000

n = 29

z = (50000 - 45800)/(8000/√29) = - 2.83

Looking at the normal distribution table, the probability corresponding to the z score is 0.9977

Since alpha, 0.05 < than the p value, 0.9977, then we would accept the null hypothesis. Therefore, At a 5% level of significance, the data is not highly consistent with the claim.

6 0
3 years ago
The diagonal of a rectangle is 25 in. The width is 15 in. What is the length of the rectangle? What is the area of the rectangle
vladimir1956 [14]

Answer:

Length = 20 inches

Area = 300 inches

Step-by-step explanation:

<em><u>TO FIND THE LENGTH</u></em>

Pythagorean Theorem: 15 squared + x squared = 25 squared

                                    = 225 + x squared = 625

                                     - 225                      - 225

                                    = x squared = 400

                                find square root

                                    = x = 20 inches

                                               x = 20 inches

                                                        Length = 20 inches

<u><em>TO FIND THE AREA</em></u>

length x width

length = 20 inches

width = 15 inches

20 x 15 = 300

             Area = 300 inches

7 0
3 years ago
Write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).
Bas_tet [7]

Answer:

C) 3x - 4y = 7

Step-by-step explanation:

The midpoint of AB is

M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)

Line AB has slope:

(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3

Slopes of perpendicular lines are negative reciprocals.

A perpendicular to line AB has slope 3/4.

The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.

y - y_1 = m(x - x_1)

y - (-1) = \dfrac{3}{4}(x - 1)

y + 1 = \dfrac{3}{4}(x - 1)

4y + 4 = 3(x - 1)

4y + 4 = 3x - 3

3x - 4y = 7

8 0
3 years ago
Read 2 more answers
If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0
3 years ago
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