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2 years ago

Long ago, in some town, a phone number consisted of a letter followed by 3 digits (e.g. K651). How many

Mathematics

1 answer:

Readme [11.4K]2 years ago

7 0

Answer:

25978

Step-by-step explanation:

There are 26 letters in the alphabet and 999 numbers with 3 digits so I multiplied and got the answer

Please mark Brainlest if I helped

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A researcher is interested in determining the mean energy consumption of a new

Nana76 [90]

Answer:

The most appropriate value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

We have to find that when constructing a 97% confidence interval, which would be the most appropriate value of the critical value.

Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be $\frac{1 - 0.97}{2} = 0.015$ .

Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

$\frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}$

So, the critical value at a 1.5% significance level is 2.289.

7 0

3 years ago

Helpppppp me please

tensa zangetsu [6.8K]

Step-by-step explanation:

3 0

3 years ago

Evaluate 4x-6y when x=-3 y=-1

pogonyaev

Answer:

First we substitute

4(-3) - 6(-1)

-7 -6

-13

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Alex is making 14 fruits salads for a party. He places 9 cherries in each of his fruits salads. What is the total number of cher

saul85 [17]

Alex uses 126 cherries for his fruit salads.

5 0

3 years ago

Read 2 more answers

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago