Ask question

Ask question

All categories

aleksandr82 [10.1K]

3 years ago

14

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives li

ke tacos. How many more of her classmates like tacos as compared to her relatives?

1 answer:

netineya [11]3 years ago

7 0

Answer:

48% of 75 is 36 so then 60% of 45 is 27, so then we do simple subtraction and do 36-27 which gives us 9

Step-by-step explanation:

You might be interested in

Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0

2 years ago

HELP ME! FAST! Please help me! ASAP! PLEASE! SOMEONE HELP ME!

Harrizon [31]

I hope this helps you

5 0

2 years ago

How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

$E=\frac{s\times z}{\sqrt{n}}$

Substitute the value in the formula,

$3=\frac{12\times 1.96}{\sqrt{n}}$

$3=\frac{23.52}{\sqrt{n}}$

$\sqrt{n}=\frac{23.52}{3}$

$\sqrt{n}=7.84$

Squaring both side,

$n=61.4656$

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0

2 years ago

Read 2 more answers

Can 9, 6, and 5 be the lengths of the sides of a triangle? (yes or no answer)

iren [92.7K]

The answer is choice “Yes”

3 0

3 years ago

A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]

zepelin [54]

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Reasons:

The matrix <em>A</em> is presented as follows;

$A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}$

Using the multiplication of a matrix and a scalar, we have;

$60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]$

Therefore;

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Learn more about matrices here:

brainly.com/question/14296012

6 0

2 years ago