1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew11 [14]
3 years ago
11

Please solve and give me the answer. Please show me how you solved it too.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

x = 24

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

4x + x + 60 = 180

5x + 60 = 180

5x = 120

x = 24

You might be interested in
Look below at the image provided.
vesna_86 [32]

That would be angle 2. It is on the opposite of angle 7 and it is inside the two parallel lines

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 420 green peas and 174 yellow peas. Use a 0.01
slavikrds [6]

Answer:

a) z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

b) For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

Step-by-step explanation:

Data given and notation

n=420+174=594 represent the random sample taken

X=174 represent the number of yellow peas

\hat p=\frac{174}{594}=0.293 estimated proportion of yellow peas

p_o=0.23 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of yellow peas is 0.23:  

Null hypothesis:p=0.23  

Alternative hypothesis:p \neq 0.23  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>3.649)=0.00026  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis.

b) Critical value

For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

5 0
3 years ago
at 7 p.m. last night, the temputure was 10 degrees. At 7 a.m. the next morning, the temputure was -2 degrees. By how much did th
patriot [66]
The temperature went down by 12 degrees. (Or you could say it changed by -12 degrees)
3 0
3 years ago
Read 2 more answers
what is an equation of the line that passes through the point (7, 3) and is parallel to the line 4x + 2y = 10
ArbitrLikvidat [17]

Answer:

4x +2y=10

2y=-4x+10

y=-2x+5

<u>y-3=-2</u>

x-7

y-3=-2x+14

y=-2x+17

Step-by-step explanation:

4 0
3 years ago
1. a^3 – 9a^3 = <br> 2. 10x^2+10-2x+x^4=<br> 3. (6n^4+3)+(2n^3+4)=
Citrus2011 [14]
I don't understand the problem what are you solving for?
5 0
3 years ago
Other questions:
  • A culture started with 6,000 bacteria. After 3 hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after
    9·1 answer
  • How to do you do this
    8·2 answers
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    12·1 answer
  • Can anyone answer this question with showing work <br> 532.6 • 8.53
    8·1 answer
  • A snail going full speed was taking 1/5 of a minute to move 1/2 of a centimeter. At this rate, how long would it take the snail
    7·1 answer
  • One spring day, Zoey noted the time of day and the temperature, in degrees
    10·1 answer
  • Solve 5kx + 6 = 7kx for x.
    8·1 answer
  • Does the following table show a proportional relationship between the variables x and y? x 5/6 25/6 125/6 y 2 10 50
    6·1 answer
  • A painter is using a 8-foot ladder to paint a house. The painter places the ladder 4 feet from the house. How high up the wall d
    8·1 answer
  • Is ABD = CDB?? Justify the answer I will mark the brainiest :))
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!