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Elan Coil [88]
2 years ago
11

2. Mr. Walters starts preparing breakfast at

Mathematics
2 answers:
alexdok [17]2 years ago
8 0
Answer: 55 minutes

Explanation:

Round 6:45 to 6:50.
From 6:50 it takes 1 hour/60 minutes to become 7:50.
Then subtract the 5 minutes we added when we rounded up to 6:50.
60-5=55 minutes
castortr0y [4]2 years ago
4 0
65 minutes

Between 6:45 and 7:00, there are 15 minutes.

Between 7:00 and 7:50, there are 50 minutes.

15 minutes + 50 minutes = 65 minutes or an hour and 5 minutes
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64% of students will apply for graduate school. from a sample of 100 students, 52 stating that they will apply for grad school.
lana66690 [7]

Answer:

you<u> accept </u>the alternative hypothesis

Step-by-step explanation:

The null and alternative hypothesis can be computed as follows:

H_o: p = 0.64 \\ \\ H_1: p \le 0.64

The sample proportion \hat p = \dfrac{x}{n}

\hat p = \dfrac{52}{100}

\hat p = 0.52

The test statistics can be computed as:

Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}

Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}

Z = -2.5

The P-value = 2( Z< -2.5)

From the tables;

The P-value = 2 (0.0062)

The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

7 0
3 years ago
Round off 9.999 to the nearest 10​
dlinn [17]

Answer:

the answer is 10 you round up a nine it keeps going to the end

6 0
2 years ago
Mr. Hughes gave 5/14
kow [346]

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

\frac{5}{14} + \frac{2}{3}(\frac{9}{14})

As \frac{9}{14} is the remained that his son did not get. So

\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}

Fraction his wife got:

1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}

If his wife got $900, what were his savings?

Total savings are x, wife got \frac{9}{42} of x. So

\frac{9x}{42} = 900

9x = 900*42

x = \frac{900*42}{9}

x = 100*42

x = 4200

His savings were of $4,200.

5 0
2 years ago
Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator
rewona [7]

Answer:

f\left(-3\right)=\frac{126}{125}

Step-by-step explanation:

Given

f\left(x\right)\:=\:\left(5\right)^x+1

Putting x = -3 to find f(-3)

f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1

as

5^{-3}=\frac{1}{125}       ∵  \mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

so

f\left(-3\right)=\frac{1}{125}+1

\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}

f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}

f\left(-3\right)=\frac{126}{125}      ∵ 1\cdot \:125+1=126

Thus,

f\left(-3\right)=\frac{126}{125}

6 0
3 years ago
Graph the following exponential functions and determine the y-intercept, domain, range, and
Ne4ueva [31]

The graph of the exponential function f(x) = 5(2)ˣ is as shown in the attached file.

<h3>How to draw the graph of an exponential Function?</h3>

We want to draw the graph of the exponential function;

f(x) = 5(2)ˣ

At input of x = 0, we have;

f(x) = 5(2)⁰ = 5

At input of x = 1, we have;

f(x) = 5(2)¹ = 10

At x = -1, we have;

f(x) = 5(2)⁻¹ = 2.5

At x = -2, we have;

f(x) = 5(2)⁻² = 1.25

Read more about Graph of Exponential Function at; brainly.com/question/12940982

#SPJ1

8 0
1 year ago
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