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2 years ago

Triangle can be formed with angle measures of 32 degrees, 126 degrees, and 32 degrees

Mathematics

1 answer:

Alexus [3.1K]2 years ago

6 0

Answer:

No triangle can be formed with these angles.

Step-by-step explanation:

There must be 180 degrees in a triangle.

32 + 126 + 32

= 126 + 64

= 190 degrees - so this cannot form a triangle.

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A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying techn

tester [92]

Answer:

a) We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:

Null hypothesis: $p=0.35$

Alternative hypothesis: $p \neq 0.35$

And is a two tailed test

b) $z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326$

c) $p_v =2*P(z$

d) Null hypothesis: $p=0.35$

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

$\hat p=\frac{522}{1562}=0.334$ estimated proportion of people who have heard of a new electronic reader

$p_o=0.35$ is the value to verify

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Part a

We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:

Null hypothesis: $p=0.35$

Alternative hypothesis: $p \neq 0.35$

And is a two tailed test

Part b

The statistic for this case is given :

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326$

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

$p_v =2*P(z$

Part d

The null hypothesis for this case would be:

Null hypothesis: $p=0.35$

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

5 0

3 years ago

1. Find the angle for insurance and taxes

Naddika [18.5K]

Answer:

3+3+5+16+28+22=77

100-77=23% for insurance and taxes

23/100 x 360= 82.8 degrees

If clothing is 3%, do that % over 100 x $40,000 to get how much spent.

3/100 x 40000= $1200 on clothes

6 0

1 year ago

Find the distance between the two points rounding to the nearest tenth (if necessary).

leonid [27]

Answer:

$\boxed {\boxed {\sf d\approx 4.2}}$

Step-by-step explanation:

The formula for distance is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Where (x₁, y) and (x₂, y₂) are the points.

We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:

x₁= -6
y₁ = 6
x₂ = -3
y₂ = 3

Substitute the values into the formula.

$d= \sqrt{ (-3 - -6)^2+(3-6)^2$

Solve inside the parentheses.

-3 --6 = -3+6 = 3
3-6 = -3

$d= \sqrt{(3)^2+ (-3)^2$

Solve the exponents.

(3)²= 3*3= 9
(-3)²= -3*-3 =9

$d= \sqrt{9+9$

Add.

$d= \sqrt18$

$d= 4.24264069$

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

$d \approx 4.2$

The distance between the two points is apprximately <u>4.2</u>

4 0

2 years ago

Look at the shaded shapes drawn on a square grid. The area of the rectangle A is double the area of square b is he correct?

Kaylis [27]

No it’s not double the area

7 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is forty inches. The length is two inches more than three times the width. Find the dimensions of t

butalik [34]

Answer:

L=3w+2...L+w=40... 4w+2=40...w=3/5 and L=30/5

6 0

2 years ago