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3 years ago

12

The vertex of an isosceles triangle measures 15 degrees more than one of its base angles how many degrees are there in a base an

gle of the triangle

1 answer:

Alexxandr [17]3 years ago

5 0

V=B+15
V+2B=180
Therefore:
3B+15=180
B=55
V=70

Check:
V+2B=180
70+2(55)=180
70+110=180
180=180. Checks.

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Solve for x. −34(x+2)=6

grigory [225]

-34(x+2)=6
Distribute the -34
x(-34) +2(-34)=6
-34x-68=6
Add 68 to both sides
-34x-68+68=6+68
-34x=74
Devide both sides by -34
x=-37/17
x= 2 3/17

6 0

3 years ago

Read 2 more answers

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.

<u><em>Let </em></u> $\mu$ <u><em> = average ounces of ice cream consumed by American per month</em></u>

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 <u>One-sample t test statistics</u> 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, <u><em>test statistics</em></u> = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

<em>Now at 0.025 significance level, the </em><u><em>t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test</em></u><em>. 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 </em><u><em>which we fail to reject our null hypothesis</em></u><em>.</em>

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

8 0

3 years ago

Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability tha

alexira [117]

Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
$P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20} 
\\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5}$

Probability of combined events is
$P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}$

7 0

3 years ago

Read 2 more answers

Find the volume of a sphere with a radius of 6ft. Round your answer to the nearest whole number. A)151ft^3 B)678ft^3 C)904ft^3 D

antiseptic1488 [7]

D) 2713 ft ^ 3 I tbeleive I'd the correct answer

3 0

3 years ago

(b) If the sum of two consecutive odd numbers is 48, find the numbers.

Rudiy27

Answer:

23, 25

Step-by-step explanation:

let the first number be represented as A, since there are two odd numbers, the second number would be A + 2

A + A+2 = 48

2A + 2 = 48

2A = 48 - 2

2A = 46 ( divide both sides by 2)

A = 23

since we know the next number to be A + 2

= 23 + 2 = 25

the two numbers are 23 and 25

6 0

2 years ago