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2 years ago

12 catsate 40 pounds of cat food.At this rate, how many pounds of cat food would 48 cats eat?

Mathematics

1 answer:

max2010maxim [7]2 years ago

3 0

The answer is 160, multiply 12 by 4 to get 48 cats. 40 multiplied by 4 = 160.
If that makes since.

Hope this helps

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LaShawn joined a gym. She pays a $25 monthly fee and $5 for each exercise class she takes. LaShawn can spend no more than $60 pe

beks73 [17]

A)4, B)5, C)6, and D)7

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2 years ago

Read 2 more answers

Find two complex numbers that have a sum of i10 a different of -4and a product of -29

lianna [129]

Step-by-step explanation:

Let the complex numbers be $a+ib\textrm{ and }c+id$ .

Given, sum is $10i$ , difference is $-4$ and product is $-29$ .

$(a+c)+i(b+d)=10i$ ⇒ $a+c=0,b+d=10$

$(a-c)+i(b-d)=-4$ ⇒ $a-c=-4,b-d=0$

$a=-2,c=2,b=5,d=5$

$(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29$

Hence, all three equations are consistent yielding the complex numbers $-2+5i\textrm{ and }2+5i$ .

8 0

2 years ago

Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th

Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

$\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28$

99% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58$

Putting the values, we get:

$0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)$

The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)

8 0

2 years ago

A spherical scoop of ice cream is placed on top of a hollow ice cream cone. the scoop and cone have the same radius. the ice cre

noname [10]

The figure shown below illustrates the problem.

The volume of the empty cone is
V₁ = (1/3) π r²h

The volume of the sphere is
V₂ = (4/3) π r³

Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r

Answer:
The height of the cone is 4 times greater than the radius f the cone.

5 0

2 years ago

It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) su

cricket20 [7]

Answer:

apart from using the hoc to predict the college students gpa, some other variables can be used

1. the students intelligent quotient

2. ability to remember

3. study time

4. gym practice

Step-by-step explanation:

1. the students intelligent quotient

gpa has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.

2. ability to remember

the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction

3. study time

gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.

4. gym practice

gpa and gym practice are not related so the slope would be in a downward direction.

when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.

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2 years ago