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guajiro [1.7K]
3 years ago
9

Zoey and her children went into a grocery store where they sell apples for $2.25 each and bananas for $1.50 each. Zoey has $15 t

o spend and must buy a minimum of 7 apples and bananas altogether. Let x represents the number of apples purchased and y represents the number of bananas purchased so :
Zoey can buy ____ apples and _____bananas or
Mathematics
1 answer:
Xelga [282]3 years ago
6 0

Answer:

Zoey could buy 2 apples and 7 bananas.

Step-by-step explanation:

Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:

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F(x)= (x+2)^2 -1<br> Find x intercept <br> Find y intercept<br> Find vertex
Trava [24]
The x intercept occurs when y = 0.

0=(x+2)^2 - 1
1=(x+2)^2

Take the square root of both sides. Note that the sqrt of 1 is 1. Then solve for x.

1=x+2
-1=x

The x intercept is -1.

The y intercept occurs when x=0.

y=(0+2)^2 - 1
y=2^2 -1
y=4-1
y=3

The y intercept is 3.

Now, to find the vertex...

This parabola is currently in a format called the vertex form, which is:

f(x) = (x-h)^2 + k

where (h, k) is the vertex.

Therefore, the vertex is (-2, -1).
6 0
3 years ago
Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instru
LiRa [457]

Answer:

11/19

Step-by-step explanation:

Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.

The probability of selecting a science instructor is 4/19

The probability of selecting a math instructor is 7/19

The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19

4 0
3 years ago
Help me!! Thank you for the help!!
VLD [36.1K]

Answer:

D. 0.34

Step-by-step explanation:

0.24²+0.31²=x² then you find the square root

6 0
3 years ago
Read 2 more answers
Does anyone know the answers please help!
Ray Of Light [21]

Answer:

I am sick

Step-by-step explanation:

 

4 0
3 years ago
The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume
ikadub [295]

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis:  There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis:  There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂  

To check hypothesis we have the formula

Standard error=  \sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} }  }

= \sqrt{2067128.4706}

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ -  x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 -  24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

3 0
2 years ago
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