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3 years ago

100 Points Solve for X

Mathematics

2 answers:

bixtya [17]3 years ago

5 0

A) By the rules of secants,
5(x +5) = 6(6 +4)
x + 5 = 12
x = 7

b) 3(3 +5) = 4(x +4)
6 = x +4
2 = x

Gemiola [76]3 years ago

3 0

Answer:

a) x = 7

b) x = 2

Step-by-step explanation:

5 ( x + 5 ) = 6 ( 6 +4 )

⇒ Expand brackets

5 x + 25 = 36 + 24

⇒ Simplify

5 x + 25 = 60

⇒ Minus 25 from both sides to isolate 5 x

5 x = 35

x = 7

3 ( 3 + 5 ) = 4 ( x + 4 )

⇒ Expand brackets

9 + 15 = 4 x + 16

⇒ Simplify

24 = 4 x + 16

⇒ Minus 16 from both sides to isolate 4 x

8 = 4 x

⇒ Divide both sides by 4 to isolate x

2 = x

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faltersainse [42]

Answer:

? = 7/2

Step-by-step explanation:

? = x

a denominator can’t be equal to 0

x ≠ 0

14/x = 4

14 = 4x

x = 7/2

6 0

3 years ago

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0

4 years ago

On Monday, Emma recorded a temperature of 15 degrees first thing in the morning.... Throughout the day, the temperature fell 0.5

Romashka [77]

Answer: B t= 15-0.5h

Step-by-step explanation:

5 0

3 years ago

The difference between two numbers is 5. six times the larger number is 8 times the smaller number. write a system of equations

Ksenya-84 [330]

X - y = 5....x = 5 + y
6x = 8y

6(5 + y) = 8y
30 + 6y = 8y
30 = 8y - 6y
30 = 2y
15 = y

x - y = 5
x - 15 = 5
x = 15 + 5
x = 20

ur 2 numbers are : 20 and 15

6 0

3 years ago

The last time brea played softball she hit the ball 35 percent of the times she was at bat based on this information how many ti

WITCHER [35]

Answer:

The answer to your question is 7 times

Step-by-step explanation:

Data

Percent of accuracy = 35%

Times she is at bat = 20

Times she hit the ball = ?

Process

1.- Use proportions to solve this problem

20 times will be the 100% because is the total number of times she is at bat.

20 times ------------------ 100%

x ------------------ 35%

x = (35 x 20) / 100

x = 700 / 100

x = 7

2.- Conclusion

From 20 times she is at bat, she will hit the ball 7 times.

4 0

4 years ago