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Tems11 [23]
3 years ago
15

The school auditorium has 448 chairs set out for the third- grade performance.What is 448 rounded to the nearest ten

Mathematics
1 answer:
rjkz [21]3 years ago
6 0
448 rounded to the nearest 10 is 450 because 448 is closer to 450 not 440.
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Two co- interior angles are in the ratio 5:7 find the angles ​
VARVARA [1.3K]

Answer:

75°

105°

Step-by-step explanation:

Two co-interor= 180°

5+7= 12

ratio12= 180°

<em>{</em><em>f</em><em>i</em><em>n</em><em>d</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>o</em><em>t</em><em>h</em><em>e</em><em>r</em><em> </em><em>r</em><em>a</em><em>t</em><em>i</em><em>o</em><em>s</em><em>,</em><em> </em><em>5</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>7</em><em>)</em>

12=180°

5×180÷12 = 75°

To find 7, just subtract 180-75= 105°

3 0
3 years ago
Lisa is planning to buy oak fence to put around her (-7x-3) feet by (9x+2) feet rectangular garden. If each foot of oak fence co
KIM [24]

Given:

Dimensions of rectangular garden are (-7x-3) feet by (9x+2) feet.

Cost of oak fencing = $11 per foot

To find:

The cost of total oak fencing around her garden.

Solution:

Let,

Length of the garden, l = (-7x-3) feet

Width of the garden, w = (9x+2) feet

\text{Perimeter of garden}= 2(l+w)

\text{Perimeter of garden}= 2(-7x-3+9x+2)

\text{Perimeter of garden}= 2(2x-1)

\text{Perimeter of garden}= 4x-2

So, the perimeter of garden is (4x-2) fee.

Cost of oak fencing is $11 per foot. So, total cost is

11(4x-2)=44x-22

Therefore, the total cost of oak fencing is 44x-22x.

7 0
3 years ago
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to
NeX [460]

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle. The opposite side is given as 244 yards. The adjacent side is given as 119 yards. To determine the hypotenuse, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 244^2 + 119^2

Hypotenuse^2 = 59536 + 14161

Hypotenuse = √73697 = 271.5 yards.

cos θ = adjacent side/hypotenuse

cos θ = 119/271.5 = 0.4383

θ = Cos^-1(0.4383) = 64 degrees

The other angle would be

90 - 64 = 26 degrees

4 0
4 years ago
in a study of red/green color blindness, 600 men and 2150 women are randomly selected and tested. Among the men, 56 have red/gre
Umnica [9.8K]

Answer:

z=13.36 (Statistic)

p_v =P(Z>13.36)\approx 0

The p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness is significant higher than the proportion of female with red/green color blindness .

Step-by-step explanation:

1) Data given and notation

X_{MCB}=56 represent the number of men with red/green color blindness

X_{WCB}=5 represent the number of women with red/green color blindness

n_{MCB}=600 sample of male selected

n_{WCB}=600 sample of demale selected

p_{MCB}=\frac{56}{600}=0.093 represent the proportion of men with red/green color blindness

p_{WCB}=\frac{5}{2150}=0.0023 represent the proportion of women with red/green color blindness

z would represent the statistic (variable of interest)

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women  , the system of hypothesis would be:

Null hypothesis:p_{MCB} \leq p_{WCB}

Alternative hypothesis:p_{MCB} > \mu_{WCB}

We need to apply a z test to compare proportions, and the statistic is given by:

t=\frac{p_{MCB}-p_{WCB}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{MCB}}+\frac{1}{n_{WCB}})}}   (1)

Where \hat p=\frac{X_{MCB}+X_{WCB}}{n_{MCB}+n_{WCB}}=\frac{56+5}{600+2150}=0.0221

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

z=\frac{0.093-0.0023}{\sqrt{0.0221(1-0.0221)(\frac{1}{600}+\frac{1}{2150})}}=13.36  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:

p_v =P(Z>13.36)\approx 0

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness is significant higher than the proportion of female with red/green color blindness .

4 0
3 years ago
PLEASE HELP AND SHOW WORK​
Sergio039 [100]

Answer:

38) Angle 2 = 32°; angle 1 = 32°; angle 3 = 110°

39) Angle 3 = 81°; Angle 2 = 28°; angle 1 = 71°

Step-by-step explanation:

38) angle 2 = 180 - (110 + 38)

This is because sum of angles in a triangle is equal to 180°. Thus;

Angle 2 = 32°

Angle 1 = 38° due to the postulate that alternate interior angles are equal

Angle 3 = 110° due to corresponding angles postulate

39) Angle 3 = 81° due to the postulate that alternate interior angles are equal

Angle 2 = 28° due to the postulate that alternate interior angles are equal

Angle 1 = 180 - (81 + 28) = 71° due to the fact that angles in a triangle sum up to 180°

7 0
3 years ago
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