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3 years ago

Which is the graph of y = 3/4x - 3

Mathematics

1 answer:

GarryVolchara [31]3 years ago

4 0

Answer:

You don't have a picture, so it's hard to answer. Type the equation in the graphing calculator feature of desmos.

Step-by-step explanation:

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Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam

Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} \pm MoE\\$

Where $\bar{x}$ is the mean and MoE is the margin of error given by

$MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where σ is the standard deviation, n is the sample size and $z_{\alpha/2}$ is the z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96$

$MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\$

Finally, the confidence interval is

$CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\$

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0

3 years ago

What is the slope of the line that passes through the points ( −8,−1) and (-12,-2)

omeli [17]

Answer:

1/4

Step-by-step explanation:

We can find the slope of a line given two points from the formula

m = (y2-y1)/(x2-x1)

= (-2--1)/(-12--8)

= (-2+1)/(-12+8)

=-1/-4

= 1/4

6 0

3 years ago

A tennis player wins a match 55% of the time when she serves first and 47% of the time when her opponent serves first. The playe

Ray Of Light [21]

ok so she has a 50% chance of serving first so if she serves first she has a 55% percent chance of winning multiply .55 and .50 to get .275 now she also has a 50% chance of not serving first so multiply .47 and .50 to get .235 now that you have the two probabilities of her winning you add them together so .275+.235 = .51 so she has a <u>51%</u> chance of winning the game

8 0

3 years ago

Solve for the variable using Trig ratio.

SIZIF [17.4K]

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(50)° = $\frac{x}{6}$

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(23)° = $\frac{a}{15}$

a = 15sin(23)°

a = 5.86

5 0

3 years ago

As.

Natalka [10]

9514 1404 393

Answer:

4/13 h ≈ 0.308 h
22 9/13 km ≈ 22.7 km

Step-by-step explanation:

Mary and Amaruk are starting 35 -15 = 20 km apart. Their closing speed is 40 +25 = 65 km/h. The time it will take to close the gap between them is ...

t = (20 km)/(65 km/h) = 20/65 h = 4/13 h ≈ 0.308 h

They will pass each other after 4/13 hours, about 18 minutes 28 seconds.

In that time, Mary will have increased her distance from Hall Beach by ...

d = (4/13 h)(25 km/h) = 100/13 km = 7 9/13 km

Her distance from Hall Beach when she passes Amaruk will be ...

15 km + 7 9/13 km = 22 9/13 km ≈ 22.7 km . . . . . distance from Hall Beach

6 0

3 years ago

Which is the graph of y = 3/4x - 3​

Which is the graph of y = 3/4x - 3