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faltersainse [42]

2 years ago

15

Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total

of 10 kilometers? Assume the relationship is directly proportional.

2 answers:

Novay_Z [31]2 years ago

5 0

Answer:

5

Step-by-step explanation:

Masja [62]2 years ago

3 0

Answer:

6 trips in total..,.............

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At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are fi

VARVARA [1.3K]

The two answers are the one selected and the choice |x-5| ≤ 1. The steps to solve the other equation are:
|x-5| ≤ 1
x-5 ≤ 1, x-5 ≥ 0
-(x-5) ≤ 6, x-5 is less than 0
x ≤ 6, x ≥ 5
x ≥ 4, x is less than 5
x ∈ [5,6]
x ∈ [4,5]
4 ≤ x ≤ 6
(^which was the original answer^)

7 0

3 years ago

A recent taste test showed that 85% of people liked a new chicken sandwich recently added to a restaurant’s menu. The restaurant

Vesna [10]

Answer:

a) The margin of error = 0.11

b) The interval estimate = (0.74, 0.96)

c) Not valid because 68% = 0.68 is less than the values in the interval estimate

Step-by-step explanation:

The statistical data from the population and the simulation are;

The percentage of the people that liked the new chicken sandwich = 85% = The population proportion

The percentage the restaurant manager claims liked the new sandwich = 68%

The number of trials of the simulation = 100 trials

The sample size of each trial = 30

The point estimate of each trial = 0.85

The minimum sample proportion = 0.66

The maximum sample proportion = 0.88

a) The confidence interval = (0.66, 0.88)

By the half the range method, the margin of error is given by half the width of the confidence interval

∴ The margin of error, MOE = (0.88 - 0.66)/2 = 0.11

b) The interval estimate are the expected range of numbers for a parameters

The interval estimate = The point estimate ± MOE

∴ The interval estimate = 0.85 ± 0.11 = (0.74, 0.96)

Given that the manager's claim of 68% is not within the interval estimate, the manager's claim is not valid based on the expected values for the people that liked the new sandwich found with the point estimate and the margin of error

3 0

2 years ago

If the general solution of a differential equation is y(t)equals=Upper C e Superscript negative 4 t Baseline plus 7Ce−4t+7, wh

Maru [420]

Answer:

$y(t) = 3e^{-4t}+7$

Step-by-step explanation:

$y(t) = Ce^{-4t}+7$

At <em>y</em>(0) = 10, when <em>t</em> = 0, <em>y</em> = 10.

$y(0) = 10 = Ce^{-4\times0}+7$

$10 = C+7$

$C = 3$

Hence, the solution is

$y(t) = 3e^{-4t}+7$

8 0

2 years ago

Read 2 more answers

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor

ozzi

Answer:

$\boxed{Side \ Length \ of \ hot \ tub = 4.8\ ft.}$

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Sqaure A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

4 0

3 years ago

If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm

natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

$F= ke$

where F is the applied force in N

k is the spring constant N/m

e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= $\frac{15}{100}$ = $0.15m$

we can solve for the spring constant k

we also know that the force F = mg

assuming $g=9.81m/s^{2}$

therefore

$24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\$

We can use this value of k to solve for the mass that will cause an extension of $10cm= 0.1m$

$x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg$

5 0

2 years ago