Preston can type 40 words per minute. if he types at that same rate, about how many words can preston type in 30 minutes?

A researcher is interested in determining if a psychic really has power to predict. The researcher takes four cards, each of a d

Firdavs [7]

It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

<h3>What is the null hypothesis?</h3>

It should be noted that null and alternate hypothesis are written based on the population parameter.

From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:

= 1/4 = 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

Learn more about null hypothesis on:

brainly.com/question/25263462

5 0

1 year ago

NewPop produces their brand of soda drinks in a factory where they claim that the

Citrus2011 [14]

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle = 22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

$z=\frac{x-\mu}{\sigma}$ where x is the raw score = 23.72

$z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2$

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228

The number of rejected bottles = 22000 × 0.0228 = 502 bottles

8 0

3 years ago

A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

3 years ago

Please assist me<br><br>NO LINKS!!<br>

Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

$2x-6+(2x)=180$

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

$2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5$