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2 years ago

In how many ways can you receive four cards of the same face value and one card from the other 48 available cards?

1 answer:

5 0

There are 13 sets of 4 cards in a deck of card. So, there are 13 ways to get four cards of the same face value. The next card you pick will always be a different face value. So, essentially, you have 13 x 48 combinations of 5 cards that you can pick from the deck where you have 4 cards of the same face value and 1 card of a different face value.

13 x 48 = 624.

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There are 90 sixth graders at Wilson Middle School. Only 50% of the sixth graders will attend the morning assembly. How many six

SVETLANKA909090 [29]

Answer: 45

Step-by-step explanation:

Divide 90 by 2 and you will the the answer of 45.

7 0

2 years ago

Read 2 more answers

The triangular bases of a triangular prism have three congruent sides, each measuring 10 centimeters. The height of each of the

Elina [12.6K]

We know that

[surface area ]=2*[area of the base]+[perimeter of the base]*height
area of the base=10*8.7/2-----> 43.5 cm²
perimeter of the base=10*3----> 30 cm
height of the prism=15 cm
[surface area ]=2*[43.5]+[30]*15------->537 cm²

the answer is
<span>the approximate surface area of the prism is 537 cm</span>²

5 0

2 years ago

Read 2 more answers

Chad drove 168 miles in 3 hours. How many miles per hour did chad drive? Chad will drive 672 more miles. He continues to drive a

larisa86 [58]

168/3 = 56

<em>Therefore, Chad is driving the car in 56 mph.</em>

672/56 = 12

<em>Therefore, Chad drives 672 miles in 12 hours.</em>

308/11 = 28

<em>Therefore, Chad drives 28 miles per gallon of gas.</em>

672/28 = 24

<em>Therefore, Chad uses 24 gallons of gas to drive 672 miles.</em>

3 0

2 years ago

An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were

vladimir1956 [14]

Answer:

The calculated value Z= 4.8389> 1.96 at 0.05 level of significance.

The null hypothesis is rejected.

There is significance difference between that the abrasive wear of material 1 not exceeds that of material 2 by more than 2 units

Step-by-step explanation:

Given data the samples of material 1 gave an average (coded) wear of 85 units with a sample standard deviation of 4

Mean of the first sample x₁⁻ =85

standard deviation of the first sample S₁ = 4

Given data the samples of material 2 gave an average of 81 and a sample standard deviation of 5.

Mean of the first sample x₂⁻ =81

standard deviation of the first sample S₂ = 5

<u>Null hypothesis: H₀:</u> there is no significance difference between that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

<u>Alternative hypothesis :H₁: </u>there is significance difference between that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

Assume the populations to be approximately normal with equal variances.σ₁² =σ₂²

The test statistic

$Z= \frac{x_{1} -x_{2} }{\sqrt{\frac{S^2_{1} }{n_{1} } +\frac{S^2_{2} }{n_{2} } } }$

Given n₁=n₂=60.

$Z= \frac{85-81 }{\sqrt{\frac{(4)^2 }{60 } +\frac{5^2 }{60} } }$

On calculation, we get

Z = $\frac{4}{\sqrt{0.6833} }$

z = 4.8389

The tabulated value Z =1.96 at 0.05 level of significance.

The calculated value Z= 4.8389> 1.96 at 0.05 level of significance.

The null hypothesis is rejected.

Conclusion:-

there is significance difference between that the abrasive wear of material 1 not exceeds that of material 2 by more than 2 units.

3 0

2 years ago

What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?

Elza [17]

Answer:

<h3>The answer is 6 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

K (5, 6) P (1, 1)

The distance from K to P is

$|KP| = \sqrt{ ({5 - 1})^{2} + ({6 - 1})^{2} } \\ = \sqrt{ {4}^{2} + {5}^{2} } \\ = \sqrt{16 + 25} \\ = \sqrt{41} \\ = 6.403124$

We have the final answer as

<h3>6 units to the nearest whole number</h3>

Hope this helps you

5 0

2 years ago