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sdas [7]
3 years ago
13

Simplify the expression

Mathematics
2 answers:
nexus9112 [7]3 years ago
5 0

Answer:B

Step-by-step explanation:

nexus9112 [7]3 years ago
3 0

Answer:

the first one

Step-by-step explanation:

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You're conducting a significance test for H0 : p = .35, Ha : p < .35. In a sample of size 40, you identify a count of 11 succ
nordsb [41]

Answer: c. –1 and .1587

Step-by-step explanation:

As per given , we have

Null hypothesis : H_0 : p= 0.35

Alternative hypothesis :  H_1 : p< 0.35

Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .

Z -Test statistic for proportion = z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

, where p= population proportion

\hat{p} = sample proportions

n= Sample size.

Let x be the number of successes.

For n= 40 and x= 11

\hat{p}=\dfrac{x}{n}=\dfrac{11}{40}=0.275

Then ,  z=\dfrac{0.275-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{40}}}

z=\dfrac{-0.075}{\sqrt{0.0056875}}

z=\dfrac{-0.075}{0.075415515645}

z=-0.99449031619\approx-1

By using z-table ,

P-value for left-tailed test = P(z<-1)= 1-P(z<1)    [∵ P(Z<-z)= 1-P(Z<z) ]

= 1-0.8413

=0.1587

Hence, the -score and P-value are  <u>–1 and 0.1587</u> .

So the correct option is c. –1 and .1587

8 0
3 years ago
Need help asap!! (summer packet)
DiKsa [7]

Part A:

Function A:

Slope = (7-3)/(5-3) = 4/2 = 2

Equation:

y - 3 = 2(x - 3)

y - 3 = 2x - 6

y = 2x - 3

Funcion B:

(0, 3 ) and (-5, 0)

Slope = (3 - 0)/(0 + 5) = 3/5

y-intercept (0,3) so b = 3

Equation:

y = 3/5 x + 3

Function C:

y = 3x + 1

Part B:

Rate of change is the change in y over the change in x (rise/run). It's also the slope

Function A:     rate of change = 2

Function B:     rate of change = 3/5 (smallest)

Function C:     rate of change = 3   (largest)

Order linear functions based on rate of change from least to greatest.

Function B:             y = 3/5 x + 3

Function A:             y = 2x - 3

Function C:             y = 3x + 1

6 0
3 years ago
There are 5 green jelly beans, 7 red jelly beans and 8 yellow jelly beans. What percent of the jelly beans are red?
s2008m [1.1K]

Answer: 35%

Step-by-step explanation:

8 + 5 + 7 = 20

50% = 10

25% = 5

10% = 2

5% = 1

25% + 10% = 5+2

35% = 7

5 0
3 years ago
This table shows a family's monthly budget. What percentage of the budget is allocated for entertainment? Round to the nearest t
lutik1710 [3]

Answer:

A)4.1%

Step-by-step explanation:

First you need to add all the payments together to get your total.

1400+300+150+800+300+150+100+100+150+200=3650

Then you cross multiply and divide to get the percentage.

\frac{entertainment}{total} \frac{150}{3650}=\frac{x}{100}

When you cross multiply and divide x≈4.1

8 0
3 years ago
Read 2 more answers
Ali hops on his 3 wheeler and heads off at 12 mph. Two hours later, Fatimah chases after him on a moped at 18 mph. How far will
mash [69]

Answer: 72 miles.

Step-by-step explanation:

We know the relationship:

Distance = speed*time.

Then we can write the equation for distance as a function of time for Ali as:

A(t) = 12mph*t

where t is time in hours.

Fatimah's equation will be:

F(t) = 18mph*(t - 2h)

where the -2h appears because she starts two hours after Ali.

Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)

Then we need to solve:

12mph*t = 18mph*(t - 2h)

12mph*t = 18mph*t - 18mph*2h

12mph*t = 18mph*t - 36 mi

36 mi = (18mph - 12mph)*t

36mi = 6mph*t

36mi/6mph = t

6h = t

So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:

A(6h) = 12mph*6h = 72 mi

3 0
2 years ago
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