You spend 264$ on clothes. Shirts cost $24 and pants$32. You buy a total of 9 items

Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?

denis-greek [22]

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

8 0

2 years ago

Help ASAP ). The figure below can be used to prove the Pythagorean Theorem. Use the drop-down menus to complete the proof. " Fir

kykrilka [37]

Answer:

Step-by-step explanation:

it's 2ab + c^ 2

why?, well, we can change the position of the 2 triangle in each corners into this (in the picture below) :

you can see that a^2 + b^2 = c^2

then there are 2 ab from 4 triangles we add that create 2 rectangle then we multiply each rectangles by its sides

so , c^ 2+ 2ab is the answer

I

hope this is helpul!

6 0

2 years ago

The bar graph below shows the student's favorite ice cream flavors. a) Use the graph's lines as a ruler to draw the intervals on

PtichkaEL [24]

Butter pecan: 25
Vanilla: 35
Chocolate: 50

The dotted line between 20 and 30 (butter pecan) will be nothing more than anything including 5. In this case, it is 25 counting up to 30.
The solid lines directly leading to a number will be that number, for instance, chocolate is 50.

3 0

2 years ago

A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9, and the sample stand

yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

Step 1: We state the hypothesis and identify the claim

$H_0:\mu=100$ and $H_1:\mu \:>\:100$ (claim)

Step 2: Calculate the test value.

$t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$

$\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263$

Step 3: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

Step 4: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).

Step 5: There is enough evidence to support the claim that the population mean is greater than 100.

Alternatively: We could also calculate the critical value to obtain +1.685 for $\alpha=0.05$ and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

NB: The t- distribution must be used because the population standard deviation is not known.

5 0

3 years ago

Factor the polynomial expression 16y^4 - 625x^4

Helga [31]

Answer:

(25x2 + 4y2) (5x + 2y) (−5x + 2y)

Step-by-step explanation:

Factor 16y4−625x4

−625x4 + 16y4

=(25x2 + 4y2) (5x + 2y) (−5x + 2y)

6 0

3 years ago